Leveraging Predictive Analytics:
Building a Recommender System
Author: David Ezeani
Import and Setup required Libraries
In [1]:
!pip install surprise
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In [1]:
import numpy as np # linear algebra
import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)
import os
from IPython.core.interactiveshell import InteractiveShell
InteractiveShell.ast_node_interactivity = "all"
import math
import json
import time
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn.metrics.pairwise import cosine_similarity
from sklearn.model_selection import train_test_split
from sklearn.neighbors import NearestNeighbors
import joblib
import scipy.sparse
from scipy.sparse import csr_matrix
from scipy.sparse.linalg import svds
import warnings; warnings.simplefilter('ignore')
%matplotlib inline
from surprise import KNNWithMeans
from surprise import Dataset
from surprise import accuracy
from surprise import Reader
import os
from surprise.model_selection import train_test_split
!pip install numpy==1.26.4
DATA PREPROCESSING AND EDA
Load and Review the Dataset
In [2]:
electronics_data=pd.read_csv("ratings_Electronics.csv",names=['userId', 'productId','Rating','timestamp'])
In [3]:
# Display the data
electronics_data.head()
Out[3]:
| userId | productId | Rating | timestamp | |
|---|---|---|---|---|
| 0 | AKM1MP6P0OYPR | 0132793040 | 5.0 | 1365811200 |
| 1 | A2CX7LUOHB2NDG | 0321732944 | 5.0 | 1341100800 |
| 2 | A2NWSAGRHCP8N5 | 0439886341 | 1.0 | 1367193600 |
| 3 | A2WNBOD3WNDNKT | 0439886341 | 3.0 | 1374451200 |
| 4 | A1GI0U4ZRJA8WN | 0439886341 | 1.0 | 1334707200 |
In [4]:
#Shape of the data--Dimension in (Rows, column)
electronics_data.shape
Out[4]:
(7824482, 4)
In [5]:
# Reduce the dataset to half its size by sampling
electronics_data_half = electronics_data.sample(frac=0.5, random_state=42)
# Display the shape of the new dataframe to confirm
print("Shape of the original dataframe:", electronics_data.shape)
print("Shape of the reduced dataframe:", electronics_data_half.shape)
Shape of the original dataframe: (7824482, 4) Shape of the reduced dataframe: (3912241, 4)
In [6]:
#Check the datatypes
electronics_data_half.dtypes
Out[6]:
| 0 | |
|---|---|
| userId | object |
| productId | object |
| Rating | float64 |
| timestamp | int64 |
In [7]:
electronics_data_half.info()
<class 'pandas.core.frame.DataFrame'> Index: 3912241 entries, 1157290 to 4585243 Data columns (total 4 columns): # Column Dtype --- ------ ----- 0 userId object 1 productId object 2 Rating float64 3 timestamp int64 dtypes: float64(1), int64(1), object(2) memory usage: 149.2+ MB
In [8]:
#Five point summary
electronics_data_half.describe()['Rating'].T
Out[8]:
| Rating | |
|---|---|
| count | 3.912241e+06 |
| mean | 4.012772e+00 |
| std | 1.380784e+00 |
| min | 1.000000e+00 |
| 25% | 3.000000e+00 |
| 50% | 5.000000e+00 |
| 75% | 5.000000e+00 |
| max | 5.000000e+00 |
In [9]:
#Find the minimum and maximum ratings
print('Minimum rating is: %d' %(electronics_data.Rating.min()))
print('Maximum rating is: %d' %(electronics_data.Rating.max()))
Minimum rating is: 1 Maximum rating is: 5
In [9]:
# Check the distribution of the rating
with sns.axes_style('white'):
g = sns.catplot(x="Rating", data=electronics_data_half, aspect=2.0, kind='count')
g.set_ylabels("Total number of ratings")
Out[9]:
<seaborn.axisgrid.FacetGrid at 0x7e4645b97d50>
Cleanup of Data
In [12]:
#Check for missing values
print('Number of missing values across columns: \n',electronics_data.isnull().sum())
Number of missing values across columns: userId 0 productId 0 Rating 0 timestamp 0 dtype: int64
In [13]:
# Check for duplicate values
electronics_data.duplicated().sum()
Out[13]:
0
In [10]:
#check for unique users and products
print("Total data ")
print("-"*50)
print("\nTotal no of ratings :",electronics_data_half.shape[0])
print("Total No of Users :", len(np.unique(electronics_data_half.userId)))
print("Total No of products :", len(np.unique(electronics_data_half.productId)))
Total data -------------------------------------------------- Total no of ratings : 3912241 Total No of Users : 2549085 Total No of products : 360802
In [11]:
#Dropping the Timestamp column
electronics_data_half.drop(['timestamp'], axis=1,inplace=True)
In [12]:
#Analysis of rating given by the user
no_of_rated_products_per_user = electronics_data_half.groupby(by='userId')['Rating'].count().sort_values(ascending=False)
no_of_rated_products_per_user.head()
Out[12]:
| Rating | |
|---|---|
| userId | |
| A3OXHLG6DIBRW8 | 279 |
| ADLVFFE4VBT8 | 272 |
| A5JLAU2ARJ0BO | 261 |
| A680RUE1FDO8B | 208 |
| A6FIAB28IS79 | 208 |
In [13]:
no_of_rated_products_per_user.describe()
Out[13]:
| Rating | |
|---|---|
| count | 2.549085e+06 |
| mean | 1.534763e+00 |
| std | 1.815033e+00 |
| min | 1.000000e+00 |
| 25% | 1.000000e+00 |
| 50% | 1.000000e+00 |
| 75% | 1.000000e+00 |
| max | 2.790000e+02 |
In [14]:
print('\n No of Users that have given 50 or more ratings: {}\n'.format(sum(no_of_rated_products_per_user >= 50)) )
No of Users that have given 50 or more ratings: 293
Model Building
In [17]:
#Getting the new dataframe which contains users who has given 50 or more ratings
new_df=electronics_data_half.groupby("productId").filter(lambda x:x['Rating'].count() >=50)
In [18]:
#Reading the dataset
reader = Reader(rating_scale=(1, 5))
data = Dataset.load_from_df(new_df,reader)
In [19]:
#Splitting the dataset
trainset, testset = train_test_split(data, test_size=0.3,random_state=10)
In [20]:
# Use user_based true/false to switch between user-based or item-based collaborative filtering
algo = KNNWithMeans(k=5, sim_options={'name': 'pearson_baseline', 'user_based': False})
algo.fit(trainset)
Estimating biases using als... Computing the pearson_baseline similarity matrix... Done computing similarity matrix.
Out[20]:
<surprise.prediction_algorithms.knns.KNNWithMeans at 0x7e46425aa050>
In [21]:
# run the trained model against the testset
test_pred = algo.test(testset)
In [22]:
test_pred
Out[22]:
[Prediction(uid='A19NLU301K2AWX', iid='B003HGHR82', r_ui=4.0, est=3.5588235294117645, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A284J4XHAKPYM6', iid='B00000K4KH', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1SQ3T0SED1834', iid='B005U0M9B8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1MUMOW4RFR249', iid='B00746LVOM', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2D3SIBFMGV5LS', iid='B001NT9UHG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2P6M8H7CPCFFB', iid='B00F8ARPQY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29FUUTYWJGVZT', iid='B000U62N1S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A37IS6ISFCDK4O', iid='B008DVMRXG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AF850YSAPGIQY', iid='B009FD4UDG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A363P5A872PCNC', iid='B008J7WRIO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A33Y35TX08YUEK', iid='B000NDO744', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A11R33D7FVY9Q2', iid='B001FA1O18', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ZCPULD551RIN', iid='B00009RA60', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AELHESGDSGWU0', iid='B0031MJZ0K', r_ui=3.0, est=3.896551724137931, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AIY1V19LUA986', iid='B0097BEFYA', r_ui=1.0, est=3.897204688908927, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2GNMUUKF9RRSP', iid='B001QWWXA6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AACRR2ZKHIRKQ', iid='B003DNSIOQ', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1D6ASIIQVI5X0', iid='B003ES54A6', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AS2MH77M4AP2V', iid='B0076U29LK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2JIPZ847U95T6', iid='B004GCJEZU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2RIXSMGE9VIBG', iid='B004U78J1G', r_ui=5.0, est=4.031662269129288, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2W92H39QKYWWA', iid='B005UBNH18', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3908P98OCSVOO', iid='B0001A3N6C', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3I65SQMA0NBOL', iid='B000VXWO9Q', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1GLXXG4MPLQC0', iid='B00800VI0S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1PJL4QVYX4VR5', iid='B006GWO5WK', r_ui=4.0, est=4.336533957845433, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ALLEFK11IU5DT', iid='B00333AWTA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2QHFJQX3Z2WU6', iid='B00006HYKM', r_ui=3.0, est=3.5343915343915344, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1ZS04YHX9DIA0', iid='B000IZDN60', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AAXY85WLBUPIX', iid='B005BDAR5E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3KTSDH42R16DN', iid='B005C298UY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2A642XPG0SUWY', iid='B009AYLDSU', r_ui=5.0, est=4.589473684210526, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1BUQOVCXCG8NX', iid='B005INJ4ZG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2C0NEIUM6NL94', iid='B0042X9LC4', r_ui=5.0, est=4.503496503496503, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AJT2XS3UJ9WIK', iid='B003OC6LWM', r_ui=5.0, est=3.858156028368794, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3TWY1VPTAB99W', iid='B001N82JP2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A33G3178Z89IHI', iid='B0052QGGYQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3SL6Q0I96CRMQ', iid='B00B7JLZQQ', r_ui=5.0, est=4.3619047619047615, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A37UZ0XN5CIC3D', iid='B001J2ZSL4', r_ui=4.0, est=4.728571428571429, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2YTOYSCMVC7AJ', iid='B001AAVA08', r_ui=5.0, est=4.041570438799076, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AXURQU6ANZJ0B', iid='B008GGH4VI', r_ui=5.0, est=4.474452554744525, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A22GXQXKS7NEKX', iid='B0028ACYMC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3K36TLFRYEBE4', iid='B00021XIJW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1J8TVICSRC70W', iid='B0031U1ATG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38909C8YGOLUW', iid='B009S2CWX4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FQD2ZA6ZSOEL', iid='B002Y2NI4M', r_ui=3.0, est=3.9858156028368796, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A31Z3F1ROUZ4RF', iid='B0098F5W0Q', r_ui=4.0, est=3.9200421525469773, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A3IGNQVRM39AVE', iid='B00C8T7CXO', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GZMLPTOB26C3', iid='B00AM7MM84', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1V0JGNJMXPL57', iid='B007PP17OQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AG5J89DJJ2FQI', iid='B00AIIJ2W6', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XZBT4TOEBUGN', iid='B003VJ1O34', r_ui=5.0, est=3.3333333333333335, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3RDCXVX5H5CSX', iid='B004GF8TIK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3NZQUCCNKNH4S', iid='B001TH7T2U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AUC6I31AMCX5B', iid='B0055FZIX4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AJ97FTCRRDA6H', iid='B008HK1YAA', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2USX8HHJTI2QG', iid='B009LVPYDM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XS12J95NYSZP', iid='B0015DNIKU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQCWMTVUCDMOC', iid='B0014II9F0', r_ui=1.0, est=3.3121387283236996, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AWBF7E9SLXOJ7', iid='B0025T1HM4', r_ui=5.0, est=3.6554621848739495, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AOMOTMG7R8AUO', iid='B000V1VG2E', r_ui=5.0, est=4.315384615384615, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2USJTSKYXZTAS', iid='B000VOC90Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4L8K4O0V04VQ', iid='B00007M1TZ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWQLIS0FLIC1A', iid='B0042F3K9W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2IV5415KPDK6O', iid='B00001P505', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQCN06H1JU71D', iid='B00D5T3QK4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JMWQMI4G51KF', iid='B001UHOX2S', r_ui=5.0, est=4.3125, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A5ZJLD278GRTD', iid='B0019EHU8G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AMXL4YFF4TRCE', iid='B003OEX24A', r_ui=5.0, est=3.43859649122807, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2NN2JH4D4I5GH', iid='B006WBPNOE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3F6XLL2O2SEKZ', iid='B00BKW2410', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3DZFSKVCRE0WG', iid='B00622AG6S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YB06I2FZS3Z5', iid='B00007KDVI', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2C6H5GZJTV1IE', iid='B003TVWNAM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1547ZFU7NGVVD', iid='B001X017G2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AXW3V7YBRKCE', iid='B007XOQ3BQ', r_ui=2.0, est=4.080667593880389, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1ER5C37QH4JRY', iid='B0043M668G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1VHIWJOY1QJ2G', iid='B0015A8Y5M', r_ui=5.0, est=4.640350877192983, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1WN5ID5HUY2VV', iid='B0032JAG4G', r_ui=5.0, est=4.4035087719298245, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3FZ8EHL64JNNK', iid='B002U2X59O', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AT8V3JOZD3KWK', iid='B001TZWNF0', r_ui=5.0, est=4.416666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2R66DJG745VLN', iid='B00A3YN0Z0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A384Z9Q8D97A2C', iid='B0015HS1HQ', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A311967UH14NPK', iid='B004YIFOOG', r_ui=5.0, est=4.46875, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3653I99U1PFUF', iid='B0006BGV2Y', r_ui=3.0, est=4.142857142857143, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2D6H09WBTYHJ4', iid='B0013G8PTS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3RMZF2G6BHUCF', iid='B003ZUXVQM', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XZ2A6PBSE5X6', iid='B004FJV8EE', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3UEZNGZNORL3J', iid='B000BFNOT8', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ATV21FLPZU2YH', iid='B005S0BYQ6', r_ui=5.0, est=3.734782608695652, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2HQI5JXPYKN5Z', iid='B003MCSVI6', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A265IHKP5MOQNC', iid='B00ESYW40S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A118EB7MZL49AD', iid='B002RWJDAC', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ANEK6V82KF7H3', iid='B002MAPRYU', r_ui=5.0, est=3.8997849462365592, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ALRF71H5EZY71', iid='B001Y01UCW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XD8WNE2CTUIF', iid='B003Y60DZO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A320PJ7VHCR6BG', iid='B002RWJD7A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3RO4Q4QTZ9H53', iid='B002K9GCU6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3VMRFBTYGZUUP', iid='B009A5204K', r_ui=5.0, est=4.044864226682408, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1A4BV30BVYWAU', iid='B004NBN5UY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1R9GXAZA7N2GD', iid='B002NZVCRA', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2OTQMC69J8MUI', iid='B00AAKLDN8', r_ui=3.0, est=4.166666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2RX9RDGXOUM3E', iid='B007X6FCWA', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3U3YDYWNKHS7C', iid='B0036WT1WC', r_ui=1.0, est=3.3944954128440368, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A118LCF42C6YJA', iid='B00D856NOG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2ZKR8CGRKUL3F', iid='B003ZX8B2S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21XJXZZQEFB1J', iid='B001OORMVQ', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ALHWZSTAELK9I', iid='B0019EHU8G', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2SWJ2YZO15A89', iid='B006PJUO6K', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A220Q8L0KUUWEN', iid='B009Z7VAKS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2I2QPIUZ9DJC6', iid='B003XM73P2', r_ui=5.0, est=4.7164179104477615, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3GQ8CY9LL6106', iid='B001GAOYCS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15OOJ9NTE29G9', iid='B007TB0PIA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AF1V14XIOIPX', iid='B00009R6TA', r_ui=5.0, est=4.783193277310924, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='AOJ5PC7APKUDI', iid='B0084V5FOI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A27QQRIBWTURKD', iid='B002P3KMLW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AUOJNV67EPVKC', iid='B0049YQVHE', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A191961SHJXPPJ', iid='B008G2GBN4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IQ461X0LGNUC', iid='B00622AG6S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29NWXIU2ENKHH', iid='B0044YU60M', r_ui=4.0, est=4.207062600321027, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1E4YE2VWBMK1I', iid='B003LR7ME6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2WIV8SU87H7BI', iid='B004C9P9TM', r_ui=5.0, est=4.780723141884666, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A18R50B4PS1Z5X', iid='B000O161X0', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A34P9ULLO7HVO5', iid='B00B8A43CC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A22ZI4FO8J3W0', iid='B005L38QLQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AILEEWKFYQO3T', iid='B001ID829O', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1RH8LAQWXJS30', iid='B003W9B4H4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A9EZ2DU5RWVRY', iid='B00D5T3QK4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2HOE6X2E4C6LU', iid='B006ZW4IVE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A26M7UGOKWCTA2', iid='B005U0M9B8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AFCWZZ3ANRWBT', iid='B001MJ30C8', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZAE3FRY92RTD', iid='B00BYH3TTM', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ASAGI6HT5WSW', iid='B003DZ165W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AAL3FKXOUYC2', iid='B0007Z1M50', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3V84K6FNNCXLU', iid='B009IUIV4A', r_ui=5.0, est=4.538461538461538, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A35HCQGD5G8OUL', iid='B005IGVXMA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2Z4GB0G5PMO4Z', iid='B001EYU3L2', r_ui=3.0, est=3.528368794326241, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A11NH6I61I9NLD', iid='B000WBQOZW', r_ui=5.0, est=3.7672955974842766, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1JIWMPQS6TPJK', iid='B0053FR9FQ', r_ui=5.0, est=4.245283018867925, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AZXMCRSP5PM4I', iid='B002C7481G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3EB3MYMFLEGTT', iid='B005FYNSPK', r_ui=5.0, est=4.407476635514018, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3UOVA3B5KZEYA', iid='B004S7Q8CA', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQAMRZMNE5269', iid='B009NHAEXE', r_ui=5.0, est=5, details={'actual_k': 2, 'was_impossible': False}),
Prediction(uid='A3BQWEE01FV0P3', iid='B000Q8UAWY', r_ui=5.0, est=4.377906976744186, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1FL48SEW1TEFQ', iid='B004YAVF8I', r_ui=4.0, est=4.416666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1SRJEQ0T7CI52', iid='B00IF0JAYE', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29J37YABAKFSV', iid='B004RDWVUS', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2W9IC44XLX8WR', iid='B000H866BM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1CAQZHCWCUOFX', iid='B008DJAYJM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1EAEB3TUTVA10', iid='B00062UW5A', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AM5JQMZC3VRQC', iid='B001OC3YB0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FJPX21DVU9MW', iid='B007T8S490', r_ui=5.0, est=4.16543944604705, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2Z9RN7XMVHP8W', iid='B002TTITJY', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21TV9QJ5C84S1', iid='B000XPG2YK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3E53WAY3314L6', iid='B0015F1L7A', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3A9LLRVAHU6YU', iid='B000095SB4', r_ui=4.0, est=3.580901856763926, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A277BJKLDKBA0', iid='B0048HUNSK', r_ui=3.0, est=3.9293478260869565, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A27DTUPFIJY64E', iid='B0054WF6JY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A165SAZZONY1P4', iid='B002CMLDT6', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PVCYGXY9D6YH', iid='B000V0IE66', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AF63NGGNOV66P', iid='B000652M6Y', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1Z9F4Q7MHG4NB', iid='B0007MWE28', r_ui=5.0, est=4.273224043715847, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1WT2UHUIQ1QYO', iid='B006ZS5ATM', r_ui=5.0, est=3.837211003804507, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A1YRQ3RE49XIJD', iid='B005E7KMH0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3KWD2UZYBVDPT', iid='B002JQNXZC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A28UEI1VHUKLYT', iid='B000Z80ICM', r_ui=5.0, est=4.27789046653144, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1SRCVW1XMPIL1', iid='B006JWMOOI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1E1X6WVCBSJGF', iid='B00068U44I', r_ui=5.0, est=3.898550724637681, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVMBJ3JBUN3L5', iid='B002QCGLHQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2D7IS8H534D20', iid='B004CETK8S', r_ui=5.0, est=3.0526315789473686, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3NCO8L27MEB8Q', iid='B003TFEHMU', r_ui=4.0, est=4.322097378277154, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVUQIT7XHW9SQ', iid='B000GX484U', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1O6SEY9UFSCN6', iid='B007NE0OLG', r_ui=5.0, est=3.8208955223880596, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1P93GYNQ0GOW6', iid='B0002CPBWI', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A23WPWLYT3P1CZ', iid='B000ZCIHK8', r_ui=5.0, est=3.5, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2TNX82TU710L8', iid='B004R7A9YE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A24UIPFVYWDI1W', iid='B001TCJI7E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ADW301LRS0PF7', iid='B0069KDX3Q', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3O293AKGQPBY7', iid='B004FLR2EW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1STVQGL550ISZ', iid='B0000U19F0', r_ui=4.0, est=3.8686868686868685, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AY6WEZ75DAY69', iid='B005DF2QMC', r_ui=5.0, est=3.0825688073394497, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1VHU7KOHI4A2W', iid='B0054JE706', r_ui=5.0, est=4.122171945701357, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A13A943ZWQVT0Z', iid='B004V4IWHY', r_ui=5.0, est=1.0210407348626949, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A1YSYP2OC3LCX3', iid='B0088TAZ2S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AEOMTM6YZMPDW', iid='B009A4B5VA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ALQU9VKO6GWY4', iid='B007BJHETS', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3IMO9BL5R9E9I', iid='B004YW7WCY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AOETN803HYT4A', iid='B003ZBZ64Q', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWBQ3B5M3GBFF', iid='B0029LDIS4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A158GV8EBVD0WN', iid='B000855034', r_ui=4.0, est=3.6944444444444446, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A14GJVRNRLDG84', iid='0972683275', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ACYJ8CBX52FTG', iid='B00141AYIC', r_ui=5.0, est=4.368055555555555, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1OY1E8AIH9C5H', iid='B000MSS5YS', r_ui=5.0, est=4.379032258064516, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2T3ZDO80L3HJU', iid='B000SML2BQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T972BEWCGT4G', iid='B004N6259G', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A230159IRMV3U4', iid='B00DR0PDNE', r_ui=5.0, est=3.9316759388038944, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2ZM86TRINRG3S', iid='B00067TTY0', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1HKPXKW1I64CE', iid='B0087NZ31S', r_ui=3.0, est=4.5782967032967035, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3JSD4KMS08GCE', iid='B007SZ0E1K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A30HNURJVCMJNQ', iid='B000HMLP5A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AVS70VEY65B0O', iid='B001TCJI7E', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AB5NC44RBTRGW', iid='B006HX676K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4FEGFWW9SMBP', iid='B0016ORQDI', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A36UKITPW2YD45', iid='B005CPGHAA', r_ui=5.0, est=3.898429319371728, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1U9P4ZLKTOZBV', iid='B002WE6D44', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='APOLJ2XIMJ558', iid='B007H7F144', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1FL2ZNKLEHSQL', iid='B00066EK2W', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1B2Y4TFUVQZTW', iid='B0062W50OG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AL58IQ7GELQEB', iid='B007NZGPAY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FR3CMIF7667N', iid='B005FVNHBI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A277K1VE5J4INA', iid='B003ELVLKU', r_ui=5.0, est=4.294811320754717, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3VTM2WX2Z6SOC', iid='B004YI9NTS', r_ui=5.0, est=4.203703703703703, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3GDVC9K9KCO6T', iid='B002RWJD7A', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AOKX3J5SJFETS', iid='B0037P5CAI', r_ui=1.0, est=3.4367816091954024, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A8HOGE1E08NIQ', iid='B007T0NM2M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2WRQ9I8FTLTB1', iid='B004MMEI6Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WBI61JPEEKBU', iid='B001ENYQT8', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AEPKKAUCMIKHD', iid='B009E6R89C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A255553LBWHJE7', iid='B000JV9LUK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2RAE6BALIPLD', iid='B001KELVS0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GM0FO6FSFBZW', iid='B0042KWIIG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HRUBW1MNJRXB', iid='B000IM9542', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15FVMZEFWFEP9', iid='B00825BZUY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2J0W55QF82EII', iid='B0013G8PTS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A23XVR04S7UNPU', iid='B005B28DOM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3C4ZX5WNB3T9C', iid='B003BWAKJA', r_ui=4.0, est=3.752906976744186, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3A6TWAX01CPWE', iid='B004M8STL8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2O7OFWH70TOQ8', iid='B003IB51D4', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A395LXW444QLSW', iid='B000CSWCQA', r_ui=4.0, est=4.465596330275229, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2XQYNK79E6V3U', iid='B0012GDOQS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AST4NU9OGTOUX', iid='B00BM9Q5N4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AIM1SVBC2BWDK', iid='B005OFFH5Y', r_ui=3.0, est=4.124633431085044, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1YF1FE5SOOBVD', iid='B0002FHENE', r_ui=5.0, est=4.0, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A33BUSLWNW3NTO', iid='B0069QPC0W', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3SHE2A4QQWNSG', iid='B008R7EVE4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1UBWKZJ4SYD06', iid='B00DR0B31U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ANMSI81R1GIM8', iid='B000EPRG6W', r_ui=5.0, est=4.085365853658536, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2VFC7IFFUMF0N', iid='B000FKP7TY', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AHNLV5JTNI1HL', iid='B00007FGU7', r_ui=5.0, est=3.8457142857142856, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A25YG5149S3N09', iid='B00HVLUR86', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8CTEVGLGV57Z', iid='B0002MQGRM', r_ui=5.0, est=3.9318181818181817, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2M2GBFJ70HBAV', iid='B0000A98AC', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3EAULBGJGI5CZ', iid='B005LJQMZC', r_ui=5.0, est=4.797687861271676, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A9QBZ7DXWWXNX', iid='B00067TTY0', r_ui=5.0, est=3.634831460674157, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3SCV6FML8MLMS', iid='B003ELYQGG', r_ui=4.0, est=4.695863061632192, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2N1XC34447REG', iid='B003U8GHVK', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GIGPAGTLU7KU', iid='B0044YU60M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1POZVI9ZE0A5T', iid='B004SO876S', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AOSCK4K3EMP67', iid='B0089E5R0W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GHKNQECBOFGI', iid='B004U9USEA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1186B0JY1XSRO', iid='B0012V3D3C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BHFXT8CDNOVR', iid='B0044YU60M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A84N6LWHDLHN0', iid='B000F8LQ0A', r_ui=5.0, est=4.301369863013699, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A15YTLHSYH0C8D', iid='B004T4P4XG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3H7BSZRBS4NSF', iid='B003ELYQGG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3NG9JYW9QW5EL', iid='B005Z3GINK', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AJES485KARIKQ', iid='B0034XRDUA', r_ui=4.0, est=4.139949109414759, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ADX3RX1R5KADF', iid='B001Q6TZ5S', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XOJRK94D3ULP', iid='B008VYRITI', r_ui=5.0, est=3.717948717948718, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A23PXRQLR0XOLZ', iid='B00E6LJ1RW', r_ui=5.0, est=4.046875, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1MY92SB4P31Y9', iid='B00155RGYM', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1VGBUI2G7T3L7', iid='B003ZBZ64Q', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2DJOBC8UJOZYJ', iid='B00F2GMUPU', r_ui=1.0, est=4.117647058823529, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3EPU4I75W41X8', iid='B00DTZYHX4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQV7UATBVGHR9', iid='B002LITT3S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1R0QNHP1CPJTY', iid='B005DIBHA6', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1AMEDWVAPMK0M', iid='B00007EDM8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ARHRESNV7BGL8', iid='B0040RDT0M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZXQ9HFT8OQZ9', iid='B002VPE1WK', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='AGGU8GVB24L6C', iid='B009NB8WR0', r_ui=5.0, est=4.841365461847389, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AALC7HEIND9ZS', iid='B001NIZB5M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2L41RTL05I404', iid='B00125Y0NU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2VGVXSMKXXAYE', iid='B00005K47X', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PAQOLZQWN91R', iid='B008GVETNE', r_ui=5.0, est=3.76271186440678, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2UQ56FXFYO2Q4', iid='B00091S0WA', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A13OH3NNMK13TV', iid='B001OC5JM2', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AP2I1MX45Y0X3', iid='B003YUEF0E', r_ui=5.0, est=4.003875968992248, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AQGRXEW317LCQ', iid='B005HMUSOO', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1A21XP7O3B9ED', iid='B0039237H4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A39CYS0CW7P2DQ', iid='B009A5204K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A23J4GYFN051HL', iid='B000246ST6', r_ui=3.0, est=4.346666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A20JKYOKYGCQR2', iid='B0009W9WHQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DXNUG22BGT0I', iid='B005CLPP84', r_ui=3.0, est=4.011904761904762, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2UOXHJLA56B60', iid='B005B9G79I', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A25ECXGQRH410I', iid='B002K42W50', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BWH9PQUNOREU', iid='B000E8X5Z0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A06005492AR4M57WJAEA3', iid='B009UEAZ84', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='APTVO172T0Z50', iid='B002QCIHSM', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2ER2UD0B08XTI', iid='B0007N55OQ', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3DTPTIB2SSF30', iid='B00BEJDGOS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PV6RXYQQ44BG', iid='B0052YFYFK', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2MG6RTCM2RHUN', iid='B004VS2ZRS', r_ui=5.0, est=4.745098039215686, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A10ELSN4E006KE', iid='B004T9RR7C', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FBOIK27P0FXT', iid='B004CQGAYS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AK26CXY9L4VCX', iid='B0093W2W7U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3L552XCXXM1K8', iid='B0035J7XG2', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2EU9Q8VQDOB83', iid='B007PRHNHO', r_ui=5.0, est=4.394736842105263, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AWQE0B9K249DZ', iid='B004KCI80I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A19NJSWWKJ85UV', iid='B0002L5R78', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FS1OZTXOR9V', iid='B003L137Y6', r_ui=5.0, est=4.394736842105263, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2569UDXMJMWQQ', iid='B006ZP8UOW', r_ui=2.0, est=4.068436578171092, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1WFCNCQGLOC8U', iid='B00BP5N3BM', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A10ZO8KM9MDFGK', iid='B005LU2Z2A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WCAM3PBALYOO', iid='B0015A8Y5M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A30FLJDFNPDWWK', iid='B00383PB0U', r_ui=4.0, est=4.008928571428571, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A18FP8I8HNOOGY', iid='B002DPUUKK', r_ui=4.0, est=4.154657293497364, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AZLQCYF3OZIXZ', iid='B0014YZH9A', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3T7P8PZ88NDN1', iid='B0007MWE1E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4SP4CJMUAADV', iid='B000X1TS54', r_ui=5.0, est=4.5524475524475525, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A6TW412I6RWID', iid='B0069KDX3Q', r_ui=5.0, est=4.089743589743589, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3CH80ATN6EA9O', iid='B004U78628', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JW1OS7H6083A', iid='B004N6259G', r_ui=1.0, est=3.354679802955665, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3KSPMD210TJPU', iid='B0007XHLXO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A31WCECVHAWZKR', iid='B002GU5XKE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2U63PEM4JISQP', iid='B001JT5G4G', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A9YRIRRX1MRL0', iid='B0031GGQC6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4U51BJG6J6QX', iid='B004SPVZKW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1K518P8PJBCNN', iid='B007R5YDYA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2W3EXXB62833U', iid='B009LTUB9G', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2U9FCUKJNP3KP', iid='B00007KDVK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A20Z0K5NG6W8Z7', iid='B0015C30J0', r_ui=4.0, est=3.581699346405229, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3EP2EI4WCSUR6', iid='B00008Z1PT', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A192TCJEPB1M3G', iid='B006JW6IHC', r_ui=5.0, est=4.239130434782608, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AZTAFRBEOMJCV', iid='B004SD1ZPY', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AF0DX777XKWMW', iid='B001PIBE8I', r_ui=2.0, est=4.12664907651715, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1OYBPZ0WMTRPZ', iid='B009B0MYLS', r_ui=4.0, est=4.180722891566265, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1Z1Q8E9AVUQOY', iid='B000093UDQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='APERHCIM27CNX', iid='B00366KE3I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A107NEKX2FMHQJ', iid='B000QHOB4S', r_ui=4.0, est=3.313953488372093, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3QQ5JW9RNL4Q', iid='B006QOLYPO', r_ui=5.0, est=3.788273615635179, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2YYE3RMGH17FG', iid='B00BI9X7UC', r_ui=5.0, est=4.593103448275862, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2NQ1MNUYUTRAP', iid='B008E0Q0C0', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21PCKXJROROQT', iid='B008WJAFPG', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1EMLD3XDQA8RX', iid='B005FA38SG', r_ui=5.0, est=4.6, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AAAJYR28MWV4D', iid='B005SZISDI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4P3JGAM5WSI3', iid='B002PU9PY0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2K6T8NKU59PVO', iid='B008OHRJ32', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A33UGM6ECDHH49', iid='B002TLTGM6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2NJCVDI8W1T03', iid='B002MU1ZRS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2X3ZSPAADO7P1', iid='B005LFT3GG', r_ui=4.0, est=4.68641975308642, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2QPZ4Y6WTKMO4', iid='B005OEIY8W', r_ui=5.0, est=2.7419354838709675, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3QW5EY4VV3KR2', iid='B00ARAHA5G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4RXM7ESJPNG6', iid='B0013FRNKG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1EHID2XTXHVZ9', iid='B002U242WI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AKXBF1EU5KAEU', iid='B001CBLN7K', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DFWZD85JM89O', iid='B0076POB8O', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YB53P24NMAGU', iid='B0002AHS12', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1HYIQ3F8L0ETF', iid='B002XKNXJU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1W2DKEAR4GC7P', iid='B00GA55OGE', r_ui=3.0, est=4.030769230769231, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3RZ3PXOHNYC8S', iid='1400532655', r_ui=1.0, est=3.710691823899371, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1391HFHIDES7Y', iid='B001KC08A4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AB8VAUQY88VP', iid='B004HHICKC', r_ui=5.0, est=4.3700787401574805, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3EFPEKGAN7H9Q', iid='B002MAPRYU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3DOM0TS7ZFV4O', iid='B001MRYT3E', r_ui=5.0, est=3.5306122448979593, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3AANUGV2YN5Q1', iid='B00BY3XN7E', r_ui=5.0, est=4.469565217391304, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A1EOZ3CZY0DFEL', iid='B002WE4HE2', r_ui=5.0, est=4.270522388059701, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AY1HMG4ELFPRG', iid='B0012N0ZAY', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ATGHVTJBHXYQJ', iid='B008ISKDL2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3R3MYYFMC82Y6', iid='B002XJN5B2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21POGA2CAZOJV', iid='B001PBYQHG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CBMP8NA22399', iid='B0082YEH8M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A257965625IJAQ', iid='B007IIT8KU', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2DD4WOZK12C5R', iid='B002FU6KF2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WA52TE59QCX8', iid='B009IBXECS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3Q1JSVWD1P2DU', iid='B005DIBHA6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GVZ4AEHBLBU4', iid='B008GVM9K4', r_ui=5.0, est=3.1724683544303796, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ACD4T0BFS9G3O', iid='B005O74J7O', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A236H3QQ015FKK', iid='B00009UHXR', r_ui=1.0, est=3.431578947368421, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A34SZVBNH40CEW', iid='B00A3VFIM6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AM44MQX78IGF', iid='B00007KDVI', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A378ZJ71K4UV4', iid='B0062CBCGG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A16WB9AVK6JA8L', iid='B0002LEMWE', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2ZYEC5HRBV36J', iid='B00A9LHLQ6', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AYNT0NBINU67T', iid='B001IWOBLI', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AVIM7UY9CCOMR', iid='B00006B9CR', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQ8VXR3VDVO28', iid='B002BS5YAA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A18I765PKR33JO', iid='B0096TK65A', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FU3YPT50TL10', iid='B003LR7ME6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4OJDRJU6OZN3', iid='B005DOK8NW', r_ui=3.0, est=4.31223371880706, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AKQRKP2OQ8ZHL', iid='B007KTY4A6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2OU3I3GC0NZO3', iid='B004PYD950', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IM5K9PNJ7ECS', iid='B003DZ165W', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3LHNK6P7G7LZT', iid='B0030F27EO', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2N4FL8OXGG7EU', iid='B00CREHS9S', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1CGFGAKEHRAK7', iid='B002M3SHXA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3UTIL6ZDI6Z69', iid='B0082BZY4G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3T5PUCR8ZCYS0', iid='B00GPH6T8E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AUHGS047PW0UU', iid='B0049SCB2Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1HS1SB4GX60XX', iid='B00CD8ADKO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DLJ45FFFZ3K2', iid='B000095SB4', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2575ZKPEBUFXL', iid='B002M3SO1U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A37FX3IXLURMYO', iid='B000XO2S9Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AVS1AX1R82F2L', iid='B005FRCUHY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3VEOAUBLBY4TN', iid='B007L8ZAWC', r_ui=5.0, est=4.51948051948052, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2L5DDP7T5A7EY', iid='B00004SB92', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AL8F50VS641BN', iid='B000OLDG60', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A12179WVVJPFV2', iid='B008K47ODY', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AT7M4SRA5U247', iid='B0025VZFIO', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1STT23Y1NESY1', iid='B004TIIBMS', r_ui=4.0, est=3.834710743801653, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1G1LUON502D9N', iid='B003FVJYF8', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2EWYHG4VE8NMZ', iid='B00AN5PUSE', r_ui=5.0, est=4.6976744186046515, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2OU9LISV45EL4', iid='B000BY52NK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1J8E14ESQRDHA', iid='B0007NIJBC', r_ui=5.0, est=4.0754716981132075, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1TQZUSOU22E9M', iid='B004Y1AYAC', r_ui=5.0, est=4.851063829787234, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3D1PU4RUNM62U', iid='B007R3Z44U', r_ui=5.0, est=4.444444444444445, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AMTGNHQQATGS', iid='B009YZ92OM', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1942QPXGC2FOM', iid='B009NB8WR0', r_ui=4.0, est=4.841365461847389, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A7RK7Y9CPHZX6', iid='B00E98O7GC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3H5OBVEMPKUW7', iid='B000FIH0ZA', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3H9RTXHQ5H4UT', iid='B002J9HBIO', r_ui=5.0, est=4.534682080924855, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2FIMJM68DPYAW', iid='B003ES5ZUU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IR92014735XZ', iid='B0000AQIFZ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3MRH6WOO49819', iid='B004GW25WY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A7B9JUULZHQIN', iid='B00DR0PDNE', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1VO7HA1MQY8SU', iid='B000QUUFRW', r_ui=5.0, est=4.684752747252747, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A39QHW3UJHL0VF', iid='B005DJ8VOU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DIF0G7ZQVB8H', iid='B007Y2YVH0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JE30X3M8SU44', iid='B0001FTVEK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2VZ2GL0FOFPJS', iid='B008MB70TI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2OYVMKAUYJJTE', iid='B000FVGM38', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2C6PVGJI7ND8S', iid='B005PSLFGA', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2EPTNOIG6OTOJ', iid='B000MVBV2S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3S7W9UNOYD1N1', iid='B00BGA9WK2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A33BH1684VYQO1', iid='B000P8X65S', r_ui=5.0, est=4.270588235294118, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2K616ZTTGBH1X', iid='B0039BPG4M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1CLLP81YOE6VP', iid='B00C2HQWYW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HLPY55LGYHSQ', iid='B000I661J0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AMOVUEGTQMGJX', iid='B006DEBYWU', r_ui=4.0, est=3.642857142857143, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2UBHX953466YR', iid='B007003J2E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2JK2KU52JSMYR', iid='B00BGA9WK2', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DCB6W297V30D', iid='B008NENG1A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A35QQQPGGDO54', iid='B0012Y6HC8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A17P9RAONFD7VW', iid='B004YIFODW', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2ORRTZTVCUPG0', iid='B0002L5R78', r_ui=5.0, est=4.426914861153494, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A20MYQH9P8AQPZ', iid='B0062IPIPQ', r_ui=5.0, est=4.503765060240964, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A86F35DTMFYB', iid='B002S4027C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A10WWIV4IBEO5K', iid='B008DBI5RI', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ADWHIPMUTUSQC', iid='B008MW6Y12', r_ui=5.0, est=4.113793103448276, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1745A0MX805CT', iid='B0053NBLFW', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AP71V5R90ZBTO', iid='B00622AG6S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1OJRXN7J7SJLC', iid='B005H3AU1Y', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWAV9TGXRIXI', iid='B000053HH5', r_ui=5.0, est=4.8828125, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2ZPE88GBZLXE9', iid='B004MR6IO4', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3UOX7L4K7FQST', iid='B0062IPIPQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2PF86SHHNSM13', iid='B0001H29OW', r_ui=4.0, est=4.158536585365853, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1KMX5Y8FDO16Q', iid='B004HM0PYI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2I2FQXPBXM4P7', iid='B000TT80DG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2L4F3OG1SI1E8', iid='B0041OYTJE', r_ui=1.0, est=4.898089171974522, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2FQWURPKNUFO4', iid='B00F9FCW7K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AYKSP7J4YTN07', iid='B00BWF5U0M', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29UTKLAFGIP89', iid='B005NHTG6O', r_ui=5.0, est=4.057971014492754, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3LI9Y3RIETF54', iid='B006G4SRXQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29PX8BALRYO77', iid='B005X1Y7I2', r_ui=5.0, est=4.493871665465033, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A323YAGIIRSA3Y', iid='B0002QPC28', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2I3U3QKJ70OBP', iid='B000V9NU2A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2MZ2HG15O3JM6', iid='B000JV9NL2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AHF5O8BGU2Q0Q', iid='B0097BEDOC', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A275AEAMR6DPM8', iid='B003U8CRGY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38DUQDBZUA25J', iid='B0036RH93K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CAO8W4KSNJM8', iid='B000V7AF8E', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BAIAKMB2IBG8', iid='B0011YAOBE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PE9GL8IQXZOP', iid='B001UI2FPE', r_ui=5.0, est=4.344165435745938, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A20XSGS08L6Z7B', iid='B00FEE7B1I', r_ui=4.0, est=4.013774104683195, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1GVMP4A9W254Q', iid='B002YPSKFQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2HNLLSCH71ZU2', iid='B001EBE1LI', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3Q0KXX07FX1KS', iid='B006ZP8UOW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A259ZH6BYEOB68', iid='B004Z4FBE2', r_ui=5.0, est=4.696113074204947, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AZDJN0CVUU0YN', iid='B002MAPSQM', r_ui=5.0, est=3.8710801393728222, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2QJS7W68H3S0H', iid='B0007MXZB2', r_ui=2.0, est=3.7876344086021505, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2I8O43L5EVF5U', iid='B001FWBUUG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JJO60MHSX3PG', iid='B009C3M7H0', r_ui=5.0, est=4.359154929577465, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A19LCHJKWV6F7Q', iid='B005IVUWHW', r_ui=4.0, est=4.1502890173410405, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1I7B5W0NN3RFW', iid='B004WI1SO8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A11U1U6JYQ97YG', iid='B005OGQXJW', r_ui=3.0, est=4.283950617283951, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A182BL642WB691', iid='B004RDWVUS', r_ui=4.0, est=4.130876747141042, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AUYABKH7KVCH9', iid='B009USAJCC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1NVGCQVAQN6CB', iid='B003XM73P2', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A1ZN302O0FZJQH', iid='B008AST7R6', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2A9GOZ22B1O72', iid='B00B6ZCNGM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1M3H3W6187YLM', iid='B0036R9XRU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2OYFTWRPU8D9V', iid='B00CD8ADKO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2JP9E1H0SF392', iid='B003Y5FRNS', r_ui=5.0, est=4.414634146341464, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A163OXIRKX6R85', iid='B005X1Y7I2', r_ui=5.0, est=4.493871665465033, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2X1Z0E982Q7DP', iid='B007JPCL88', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CEAC4QMNS16G', iid='B004NBL9WK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ARY41Y2RQCXJR', iid='B008AHTO20', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AK6LSGK8Y52BM', iid='B001VFMA5Q', r_ui=5.0, est=3.5675675675675675, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2J2M7B01UEAUA', iid='B0018O9JIG', r_ui=4.0, est=4.03960396039604, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AU3FRR5AD9ANF', iid='B00DR0B7Y8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A9D8H9B7W9POG', iid='B006ZC5PDE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2UM8MMJRJ0H1K', iid='B007R5YDYA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2U5BEUL5JIHSI', iid='B0007RV3IE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ACHCA25Z2290D', iid='B009EIUH6G', r_ui=4.0, est=3.5705521472392636, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3J310AS39P0HU', iid='B0001XGQTA', r_ui=5.0, est=4.75, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AZU20HSA5G7ZK', iid='B00829THO6', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DBL5QFDQ5ZY4', iid='B003VAHYTG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2U2ARRTD32YVW', iid='B009VPBLCG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2R60HW61H86YB', iid='B00007FGU7', r_ui=5.0, est=3.8457142857142856, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1CM4F49A7ZWK9', iid='B0001DHHIY', r_ui=5.0, est=3.4571428571428573, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2L86JOBL6T23W', iid='B006IHRNUY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AX83T6WZG9WBC', iid='B0062EGCWS', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1RTOQJFOB3DWO', iid='B00CPGYNV4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A5LR0ZGQ4JIPP', iid='B000ENUCR4', r_ui=5.0, est=4.5607476635514015, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A25UD75MSUX1GE', iid='B003ZUIHY8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2J16666J9C2ME', iid='B000NMKHW6', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1QRZGACVMZZ7', iid='B007WTAJTO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A34BSET0RL55ON', iid='B003X7TRWE', r_ui=5.0, est=4.65945945945946, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3E4HOJSG75MJ8', iid='B004M18O60', r_ui=4.0, est=4.430555555555555, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A33HMJ0YRFYGKR', iid='B009YQO2QY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A7C1YXPWSCBJC', iid='B00HQZGZ38', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AOI2MD752ZWFU', iid='B000V1MLBE', r_ui=2.0, est=4.090909090909091, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3FOAST4P969UE', iid='B001413DWQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A37P1LB4IERD8', iid='B001078FV8', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2U3SF7NFDNV6S', iid='B00267GDM4', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1S0MXBMZOMTHV', iid='B009X3UW2G', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1UMN04FQ6H32D', iid='B001ENW61I', r_ui=5.0, est=4.72, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1TTI6ZKYEKL4S', iid='B00DR0PDNE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A36BNK6AFG6M7T', iid='B001G5ZTPY', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ADGYSBUDGB6MK', iid='B000BUDHNQ', r_ui=5.0, est=3.1204819277108435, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2S3GPXLJ7PAZ7', iid='B00E3W15P0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3O6IY6NPYROM8', iid='B001DPHRWK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A631D44AMX0KX', iid='B008AST7R6', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GE5ALWE80KJO', iid='B003Y89O6G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A188WVW3QKD5ZH', iid='B004V4IWHY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1NW7KA2GRANH8', iid='B009BVDV5A', r_ui=5.0, est=4.1946902654867255, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2SBUV5E8KDNAD', iid='B004T0EQP2', r_ui=4.0, est=4.085365853658536, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3L6SWC252WXCU', iid='B000VG802I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2F896CJC33F5L', iid='B0091JMYWI', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AE1CFU70EVKP0', iid='B002V5OYHC', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2AKBSM3TDZZZ9', iid='B005LT05Q4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15J0T6HSPLLAJ', iid='B0068RKK18', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CFYIKO9J8IMC', iid='B0042F3K9W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2PYEOWMJZXFB8', iid='B00FJDUPX0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1J488HX933083', iid='B004AB35NY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1MCIWL1JBJFBZ', iid='B0080JQY4E', r_ui=3.0, est=4.122186495176849, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AT37V0PXTBI90', iid='B0040QE98O', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2IJ4TB3NZRSX7', iid='B00EHDZMFO', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AS475W2JIU7QK', iid='B004RKQM8I', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ZAOFRDK49K0R', iid='B002SXMRO4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3P50Y0TSZTZ1W', iid='B00A83I8G2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ACGTYE5R2EXVF', iid='B002U1ZBG0', r_ui=5.0, est=4.2025316455696204, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2KN72IHD44309', iid='B004SY5O5K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JWTK3K0KSN7K', iid='B001MSU1HG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1Z2G07XIWC6F1', iid='B0081ZDW9M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3KGEAII4OJZW0', iid='B001TH7GUU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HQ2AURERE24K', iid='B003KE3SJI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IC8CBHVVPV69', iid='B004NQU4YY', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A261DBYQZ9N06P', iid='B005ONMDYE', r_ui=3.0, est=4.311446317657498, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A13YLUCOIXFSM0', iid='B000A3WS16', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A32Q7ZUM4IVHQI', iid='B00825BZUY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3ODJHJIN3XQ6Z', iid='B002BH3I9U', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2K00BBGX43Z7T', iid='B001TUYTZM', r_ui=5.0, est=4.527638190954774, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A367BZ4CBH2MVG', iid='B000Q30420', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1FP2IPTAGDRNG', iid='B00006IS4X', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2WTASNUT4JU17', iid='B00DR0PDNE', r_ui=5.0, est=3.9316759388038944, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3APVI40KC7IZQ', iid='B007WTAJTO', r_ui=5.0, est=4.4347650736035495, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A24FFEMVWE3CWY', iid='B004Z0S6RU', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HSPDS6SL432X', iid='B004PYD8T2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1AH8033GWKBY7', iid='B0009WG6KM', r_ui=5.0, est=4.28, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2GF2QL63PASS2', iid='B000WL6YY8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3IH80S7R1XX1V', iid='B0003QIXBY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A30I7ZXNQFD1D7', iid='B002HWRJBM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PO98UPGQL5PL', iid='B00198DM2K', r_ui=3.0, est=3.84375, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3IJHM9D899OBJ', iid='B00F4THD5C', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38LG1N45IDTP4', iid='B000Q8UAWY', r_ui=5.0, est=4.377906976744186, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A35HZOWR4VHR53', iid='B005DOK8NW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2B32KLD71XG0E', iid='B002PV3UO0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1D9UUK5W5NZE6', iid='B001EBE1LI', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3MQVKFLSQWZ7W', iid='B00GDG1KGS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A19A2458IBGTTU', iid='B0040VNDKO', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AY5XAUDY5W0RQ', iid='B0062CBCGG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AA8JU3DM3YBRL', iid='B00GX9A06Q', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A9BTU2YA61CGP', iid='B008467K1E', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A155W3VBNMFEN0', iid='B001MXLD4G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CF5X3FR6BVAU', iid='B008D2POAS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1U8RX3DEAL9NG', iid='B001G5ZTN6', r_ui=4.0, est=4.148148148148148, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1CHWCDYCXEXXW', iid='B0027FGW3K', r_ui=2.0, est=3.488469601677149, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1SA4XG0YOEVWB', iid='B000NVLQ72', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A30LAVLDNH4JR0', iid='B009YQ8BTI', r_ui=4.0, est=4.411764705882353, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3OPOMSWNLJBYV', iid='B007PJ4Q4A', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1HUVSIE9Z4JZ6', iid='B000UMRWCC', r_ui=5.0, est=4.0625, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A53CELEH3AKBT', iid='B009WU5XUG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2LVDAGMOSX9IN', iid='B002BZFSYA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YB7NLMW9GE1Q', iid='B00C9W27RQ', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3MGED5UBGQVK9', iid='B003SGCO3E', r_ui=5.0, est=4.466230936819172, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AQ23GMD7K0O6U', iid='B004B8GF7Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZ0V7815OWZ8K', iid='B001S2R8E0', r_ui=5.0, est=4.142857142857143, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3B0J37QKPXDL3', iid='B005U7O0YU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3D8DPXQIF4ABN', iid='B004RRU2U0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A259LS0FXWW8CV', iid='B00006B7RK', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZ6Q1SGQFACK6', iid='B005450ZUG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A172I2IVK25NV6', iid='B004NY9UV4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AXW3V7YBRKCE', iid='B00001P4XA', r_ui=5.0, est=3.810344827586207, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A18Z1QAZH50XXN', iid='B008VYRITI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WM41FIKBQ3P5', iid='B002DHYKVS', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A157ILAOH3XJ3', iid='B001HF6OFW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1BIFA9JDF7S2Y', iid='B000R9AAJA', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AI5VYGQQT5OCE', iid='B0057OCDQS', r_ui=5.0, est=4.210332103321033, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1333MI3WMZO7Q', iid='B007JCMDA2', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2KJ77NX33PL1O', iid='B002V15YES', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1EYF6QHWRMAV4', iid='B00007E7JU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AL3TZ2Q9B4ZH9', iid='B006GWO5WK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A26GPTQJELAIJF', iid='B005DKZTMG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2UN32FSVUO43U', iid='B0001F22PA', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JXA9D01HFC3O', iid='B003B20F5E', r_ui=5.0, est=3.1346153846153846, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A215WK1J5FG33M', iid='B009UZBLSG', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2B4AJ3C4CW8N4', iid='B0014OE08E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A355091D0MRS8E', iid='B008CS5QTW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PXANZ9DQXVIT', iid='B007WTAJTO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A29BUEGVFEKPJQ', iid='B000F9YN22', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1LT79Q2BZTKBG', iid='B00AGABISW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AI269KLFTU1K6', iid='B000JV9LUK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3H25MENW4468B', iid='B00DTGG27M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1OSCVO54AUX4J', iid='B00068YUN4', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2IZQLWTQ67X21', iid='B001ELJO2E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DND538X22O6Q', iid='B004WO8HQ4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3SNPIY0112V7Z', iid='B003STVG80', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A22QSVHSI6BSG8', iid='B009D79VH4', r_ui=5.0, est=4.576576576576577, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2MBU5QVEYXHN2', iid='B005HY4UG4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1C5PKRAR0XP62', iid='B00728ZBA2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A16JVX4D0OG2KY', iid='B005QX7KYU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8X79N594AV9V', iid='B007R5YDYA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2WRL0D0STPJQV', iid='B0015F0A8G', r_ui=5.0, est=4.25, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3G62XLXTCSRFA', iid='B00ESYNN80', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WJTPN4F2ENJG', iid='B000SE6IV8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A22QSM5X5UHKGC', iid='B000WL0I1I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21SHJ7GREKQPF', iid='B0014175NE', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1FRGP1XHWBAEK', iid='B004VF4D9E', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2NF3G1I4WOPVD', iid='B0034WR19Y', r_ui=5.0, est=3.9, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AQFDZ49YK0NJH', iid='B005755U0I', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ACHNZY4ETGAXT', iid='B008Z2661W', r_ui=2.0, est=3.137546468401487, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1W84YQ9ZIP7QA', iid='B006W8U2MU', r_ui=5.0, est=4.476038338658147, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1ZSEEIAR6VH3Z', iid='B000FIH0ZA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21I62TCDL4754', iid='B002NO7PWC', r_ui=5.0, est=4.618181818181818, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3PC5F9ICAH3Y3', iid='B006EWUO22', r_ui=5.0, est=4.73469387755102, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3Q2T1QNHHRK8Q', iid='B001T6O0ZK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWQYOJJAZ1TBB', iid='B009JRMBVG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A36YR4QQ110B1M', iid='B006NGHN5A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2MH7JYULA7OMJ', iid='B0013LWK3A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2FKI8VSSKJ2EM', iid='B004NBL9WK', r_ui=4.0, est=4.253405994550409, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1GX0RFRS0GWRA', iid='B0038OLL2Q', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQ49O1C3R9DMV', iid='B00006412G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2PLXALTV2YZP5', iid='B008292ZWM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A7ME7PAJJ6LSA', iid='B0000E658Q', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1LT1YU15JD635', iid='B000GIT002', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A54XSIE2AVE2O', iid='B0062IPIPQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AMX64FWN1TVS', iid='B00DR0PDNE', r_ui=5.0, est=3.9316759388038944, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ATUBT9O1KE51Y', iid='B001MYASTG', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AIYCREKRCLBW', iid='B00FYEP0TI', r_ui=5.0, est=4.333333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3OI2MAEPA4Z25', iid='B005I6DUYE', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3DB5NAE04LY7U', iid='B00AGABISW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2WBE5G4CMRCS5', iid='B006ZP8UOW', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ZWKX2XRUHGYO', iid='B000068O3T', r_ui=2.0, est=3.8354430379746836, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AJSJOJWW8PTGR', iid='B005T3GPXO', r_ui=4.0, est=4.585714285714285, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3S66REXBGOPNZ', iid='B0053QW61M', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1FNFEFHQ8KFZH', iid='B005OFFH5Y', r_ui=5.0, est=4.124633431085044, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1H8ZQY3GHH1GA', iid='B005KDYBIO', r_ui=5.0, est=4.342151675485009, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AGXZU82EXKL1C', iid='B002IPHA1W', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ANMHTITF9ZF3O', iid='B00336G7MI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BZ0HP8FAT3M9', iid='B000H6CBA4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A294UK0ZAXHKHA', iid='B004K4V7V8', r_ui=5.0, est=4.608695652173913, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A15UGQJPRM2UTB', iid='B002A6H72Q', r_ui=5.0, est=4.6477272727272725, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A209DUAGIIZQUE', iid='B001Q6DQT4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A16GEPDQD1OOXF', iid='B0011ZK6ZM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3GEN7YR4PGQYJ', iid='B002VPE1WK', r_ui=4.0, est=4.511494252873563, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A10Z12GG4QRHH0', iid='B002V88HFE', r_ui=5.0, est=4.665230769230769, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AH6ZUPCVWY3AR', iid='B00DTGG27M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JCMZ7LDNGX2X', iid='B00316263Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3RVC7V0BD0FFG', iid='B000IJV4BC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3OEJIRT1R7N4L', iid='B0007VPFI4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2YIUABT33VEX9', iid='B005HSG3JC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8UDJR6OGVND5', iid='B008GVOVK0', r_ui=1.0, est=3.684848484848485, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3HGS6CVMKEONO', iid='B004QK7HI8', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21GS7CSYL3W7V', iid='B00HRO3IBA', r_ui=5.0, est=4.378048780487805, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A97NT2RTKGLZM', iid='B005VFG06W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2271B9FZAKCIC', iid='B005JE3VYY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1MCN15MA89H1Z', iid='B001ELK2NY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3RXCJEHRGA6O9', iid='B004I5BUSO', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38BUEXQR3ERCX', iid='B00000JI4F', r_ui=4.0, est=4.112, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3KQYC7ITC8YJY', iid='B001S2RCWI', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A165TGRCMVIGDY', iid='B0027VT6V4', r_ui=1.0, est=4.249544626593807, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2G1XB2EFH0U8H', iid='B004SO876S', r_ui=5.0, est=4.384615384615385, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3LSZTAUQ4D8HF', iid='B0000DCRHA', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1TWNHE6KTEKCZ', iid='B0040FHB6C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3OO3LXZ7IPXPV', iid='B000067SPP', r_ui=5.0, est=4.735294117647059, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2Q0B3IH6JTHRK', iid='B000MBUSD6', r_ui=5.0, est=4.186274509803922, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2CSGDZQLXKU1F', iid='B004YADU4A', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1SUENQ1RFVQ4F', iid='B000092YPR', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A18RNU8SO7IUP1', iid='B000F7857S', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AA6CY9FRXL4ZL', iid='B005H476S8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A259KJ1G5VHEAL', iid='B00B59NX54', r_ui=4.0, est=4.3, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3E2LKLQRCXV2Z', iid='B00DIFIM36', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A27WB16A1UJ1P1', iid='B00CGW74YU', r_ui=5.0, est=4.668269230769231, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1593KN5PAA4V8', iid='B007O5ATC8', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3E7NVLRKEGIDH', iid='B006C2GNDS', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZJ4V2EVSLG27', iid='B005HMO6A6', r_ui=4.0, est=3.750331586975263, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2OWKKF8ISFYX7', iid='B000HPV3RW', r_ui=5.0, est=4.495934959349594, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AT3KZTVW9DY8F', iid='B002V123VA', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A68ZQYO0VTSUW', iid='B00BUCLVZU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T60N64FXRD8C', iid='B0000633EO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3NNROLI1CZ7RB', iid='B008THTWIW', r_ui=5.0, est=4.2718696397941684, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2LYSWAT8VCIFF', iid='B00475K64E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A14MCAGSOXXVTE', iid='B003Y2KC7W', r_ui=5.0, est=4.620689655172414, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2VTZ8R19ZPSR9', iid='B0029L047W', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2M4PQPBV45U71', iid='B00D7LN7K4', r_ui=4.0, est=3.510204081632653, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A6WUA3EBF9OPE', iid='B000TXZIDM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1CKC9RMTVSI0Q', iid='B000V0ETA6', r_ui=1.0, est=3.9158415841584158, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2BT9DB1R0D0C4', iid='B005HSG31K', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='APMSPDUII1W2R', iid='B000EYRLXQ', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AF5WDPCC5BDS8', iid='B0015DYMVO', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38LPM6OXYR0YN', iid='B003ELYQGG', r_ui=5.0, est=4.3935960591133005, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AI8P6JGSPFKA6', iid='B0096T2N3I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T69PU0IU60RS', iid='B003BYRGJU', r_ui=5.0, est=4.595673876871881, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1MVSX9232K1XQ', iid='B000053HC5', r_ui=5.0, est=5, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1B2GRM59O0SST', iid='B000WYVBR0', r_ui=5.0, est=4.576358930112166, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AYRC2UXWJQWCP', iid='B0045XX12C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1TDOQ3SHYSGP5', iid='B001R4BBL0', r_ui=5.0, est=4.482352941176471, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2HJS7YX5S75BP', iid='B004PGM9PO', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3KG0OIIADGVUI', iid='B00BGA9WK2', r_ui=5.0, est=4.08501872659176, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2H216GP29A9Q4', iid='B004RKQMCY', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A21H4RPUPMZLWV', iid='B009YGGKXC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A66YTJ2BRC8IP', iid='B0068MSGZA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ATX44LVZL5JFV', iid='B00A8OWALU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AGFFCFKJ1Z5AZ', iid='B007I5JT4S', r_ui=5.0, est=4.4017363851618, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A189F3ACX8NUB6', iid='B004QGXWSQ', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AENQQGTP9GKOX', iid='B007T8S490', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A5WT86KNY6ZCG', iid='B0012S4APK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWUZM5SAHTO0Z', iid='B0002EQU6C', r_ui=5.0, est=4.704918032786885, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1TIIA48PW1IT0', iid='B000NJH592', r_ui=4.0, est=4.619718309859155, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AL8K7SWTLZ12X', iid='B00012F7G4', r_ui=5.0, est=4.1, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2QCHWZRIOFLC', iid='B0014Z29OU', r_ui=4.0, est=4.369918699186992, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3AJD9UO57M4CO', iid='B000H6AY6M', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2GEC08PV3L59S', iid='B000J6FWT4', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A20H1M28WLI9J2', iid='B001Q3MA80', r_ui=5.0, est=4.348837209302325, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1H9OL9MT5OS28', iid='B000HZGQ9C', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1B9GMSUWE6QVT', iid='B003RRY8ZG', r_ui=5.0, est=3.6956521739130435, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2544M9YI3ENCR', iid='B008R7EVE4', r_ui=5.0, est=4.4345403899721445, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A307JY9YZ5GFZE', iid='B00005NIMJ', r_ui=3.0, est=4.506666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1HG6GH56E50B2', iid='B00B1K6D5Y', r_ui=4.0, est=3.6091954022988504, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3IPLBVJOWOWID', iid='B0038JE07O', r_ui=2.0, est=3.2972972972972974, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3RB1YBMJZXA8U', iid='B0053B8IL4', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1RJSG0GXCDTNV', iid='B00D1GYNT4', r_ui=4.0, est=4.471698113207547, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A7FJ36TCU73B1', iid='B004U8GSMC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3LLVFKHK1VSU3', iid='B0017H4EBG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ACWDZGQAWRORW', iid='B006I0KL6Y', r_ui=5.0, est=4.061538461538461, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AJSIOPRVD12QZ', iid='B0006G36TA', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1WNZS7SET45TY', iid='B000ANGNN0', r_ui=5.0, est=4.59375, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVF5JCBQOH0PZ', iid='B000MVJ1M0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T4CHCYLLGDBC', iid='B004CQGAYS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A31E0TMZCLQ6BA', iid='B0078XGE3Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2NG2UVDPREU42', iid='B00B1NN0TS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1DK9DZ7521AWJ', iid='B004RCHX0W', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8FSRBB3V72H3', iid='B0018LYCYK', r_ui=5.0, est=4.504464285714286, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A5Q25ZRVYKKRB', iid='B003L137Y6', r_ui=5.0, est=4.394736842105263, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A9A242YWSY0WS', iid='B001QWRT3C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3AE0PT28XBUT', iid='B001F51G16', r_ui=5.0, est=4.4288659793814436, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3NCG5B3WYQXS5', iid='B000WH6H1M', r_ui=5.0, est=4.604790419161676, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3RRXPXMFW54KQ', iid='B00192VWVY', r_ui=4.0, est=3.4193548387096775, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1A1GEOK9N1SF2', iid='B00CO8TBQ0', r_ui=5.0, est=4.782258064516129, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2D5K3C373CTUG', iid='1400501776', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A5E9JVIEONLZ0', iid='B000EPHP4U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1UVYZTKIY3Y6R', iid='B00172M8HS', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1V6PYMXENZZ5P', iid='B0018QTWH2', r_ui=5.0, est=4.36, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2S5P2CZYWI7R3', iid='B002BH3I9U', r_ui=4.0, est=3.8067831449126412, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A20FSZMNXY3DS8', iid='B006OBGEHW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3D5DGSKWOKQ8Q', iid='B0032OZNDK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A28WM8A3BF8EKN', iid='B00BQ5KHJW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2N3LW6W97OUZL', iid='B004J4VYEY', r_ui=5.0, est=3.0880952380952382, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1YEWA0ZCUCIXJ', iid='B00B89BN7G', r_ui=5.0, est=4.171717171717172, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVQ3H6Q1B3BH0', iid='B00BCGRVSU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3R7P7FLTWV8EH', iid='B001413DF8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1O0EMN57TO1SP', iid='B004MF11MU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1CMMSYUUSJOCS', iid='B003WE9WQO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3ICD9GU3CYEV9', iid='B004YW7WCY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AGPC0FWVO2VST', iid='B001HN6JK4', r_ui=4.0, est=3.3541666666666665, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2GR7F3TYSZ79F', iid='B005Z2TG9Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HD6PT2FL2BYL', iid='B009K62HQ0', r_ui=5.0, est=3.463157894736842, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1J4L5FPLKIJCT', iid='B005LJQNQU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3KKA97D11E4YE', iid='B007G92MG8', r_ui=4.0, est=3.56, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A28OGP7OP46YGZ', iid='B002MAPS6W', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BH5JXXC88M3Y', iid='B003O6PXS6', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A69K6WJHI5LM4', iid='B000NVVDKC', r_ui=5.0, est=4.693548387096774, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A15KJTIC4WMVS5', iid='B0036VO4X4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3W2LBULL95SSU', iid='B00FXYT12G', r_ui=5.0, est=4.571428571428571, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2HR1DKU9G6VWU', iid='B0000BZL1P', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A35WB5O2PCRZMC', iid='B0002BEX8W', r_ui=5.0, est=3.728395061728395, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2RSGIX312REOI', iid='B0030AZ44O', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A231R85GWQFVRE', iid='B001LYPNFQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A14R5OYUTPGQ2U', iid='B00F0DD0I6', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1GW4UFK8790EK', iid='B006ZT4VA0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2P824V8B4C265', iid='B001URWAYG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FN797Q99THQN', iid='B007HBLX5G', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2VLCMQZR5XWK9', iid='B004D5GXOA', r_ui=5.0, est=4.527027027027027, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3DL9S51L2X5PY', iid='B006JGXOSY', r_ui=2.0, est=4.213740458015267, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1LW93HGONNQUU', iid='B0042X9LC4', r_ui=5.0, est=4.503496503496503, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A20J9QK9MSR3HS', iid='B008AST7R6', r_ui=2.0, est=4.35362095531587, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3BN72WB34APQC', iid='B003QA5LA0', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YGSU19TZWAN', iid='B003DZ1684', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AJQKUKR6UELQ8', iid='B00F0DD0I6', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15TTZXP4GXKLM', iid='B0089E5R0W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A236D4AY51MNTN', iid='B002K0TU2C', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AB5IR0R2QVY1I', iid='B009FPUBBE', r_ui=5.0, est=4.311320754716981, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3BEDMHT7SW97N', iid='B00AGAYQEU', r_ui=5.0, est=4.1020408163265305, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2CJEJ4USSGIGS', iid='B000AA2IC8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3C3KXFC70OWZ4', iid='B000VM60I8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQCDZL1XLBXFO', iid='B003MWWPEW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AW0HHEQ0Y9UE8', iid='B004C9M7UG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A36CJVZG09VFB3', iid='B002Q8IHDQ', r_ui=5.0, est=4.153333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AN1AX2IGPBEOE', iid='B003LSTD38', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A19Q0XGUC5NWV2', iid='B003O8J11E', r_ui=5.0, est=4.4, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AAP0ETKKGFRF9', iid='B002V5OYHC', r_ui=5.0, est=4.040201005025126, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1ENW3EQ531IO5', iid='B007KEZMX4', r_ui=5.0, est=4.593100574939722, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A168U3MED8LMH', iid='B003K0E6BG', r_ui=5.0, est=3.9567567567567568, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2RX62V4E2BF5Z', iid='B00DQZQPNM', r_ui=4.0, est=4.087338087000548, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A36JUF489IQ7YX', iid='B000WKPHI8', r_ui=5.0, est=3.0588235294117645, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AXUJKKSLOMAFO', iid='B008GHN0NS', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3OY699NY6V12H', iid='B0040IUI46', r_ui=5.0, est=3.583016476552598, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AU0BMY9P3RZR4', iid='B003EV7EC4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AJUCQMDI0QA3I', iid='B009X01C64', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IBGG14JQ1BR4', iid='B0093XTHHM', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1JQHMFNU5XYKR', iid='B00834SJNA', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3PXDSDXLB2XI4', iid='B006H06TVG', r_ui=5.0, est=4.345794392523365, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ALX4NY09VE3LH', iid='B00007M1TZ', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1PLAHVNDVSVCH', iid='B005T3GPXO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A22WFKPWBYG0WL', iid='B005CLPP8E', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A20A5C9M1R0MV3', iid='B0089ZV1WY', r_ui=5.0, est=4.249388753056235, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ASYN7RG93QPAY', iid='B009Z3SVRM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AYP0BTMWUEJE9', iid='B007R5YDYA', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2E8LQBGTMIYD0', iid='B000S5Q9CA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2F69OHI9STNS5', iid='B003NYQHFW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A28LK4TOXX2W3O', iid='B0045371FU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AAB0P0XSAX567', iid='B001MXLD4G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A36TC7G6ODJMLT', iid='B008NMCPTQ', r_ui=4.0, est=3.728005591798695, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A3J6XM0ODSQRUV', iid='B002I00730', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3T5D5KVVQFGFV', iid='B00009R6WU', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3QM5F0Z3GULWP', iid='B008OUKZZI', r_ui=5.0, est=3.9183673469387754, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A27FJMTTINZO3R', iid='B009SYZ8OC', r_ui=1.0, est=3.066095335113956, details={'actual_k': 2, 'was_impossible': False}),
Prediction(uid='AJROKA8095EE5', iid='B007B31IYQ', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2AST5N8MSQMOE', iid='B000246USU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A26UEQSB8532DD', iid='B009D9CZ5C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A34900KFSU707V', iid='B003S6AXVO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A6S1FREDK70WQ', iid='B00000K4KH', r_ui=5.0, est=4.213333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1RCJWK3G62RTD', iid='B009L04DCQ', r_ui=4.0, est=3.8666666666666667, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A31OLWW8C0GJXW', iid='B000ODVKUC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3G8CBCKLABK6U', iid='B001769K3O', r_ui=5.0, est=3.7583333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A15WS9U0CPY0PI', iid='B003CJTR8M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A14OASK67KPUPD', iid='B0043T7FXE', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3HTGJAK801WJC', iid='B0037NX6JY', r_ui=4.0, est=4.458333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A29RS33N281XNJ', iid='B0007R4LI8', r_ui=1.0, est=3.803030303030303, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A378I9YIPLBM1G', iid='B000M6XKEK', r_ui=5.0, est=4.25, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1EB3JBIF5D5MZ', iid='B00B1V5QRO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A14PA88AAZEMH8', iid='B00F4A8FQM', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1F6J7Y7BTBSDK', iid='B00AHKFDWS', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3SZJEHYXPXQGU', iid='B0012YHQVE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2K7CZU46I1B0D', iid='B0030XXH1S', r_ui=5.0, est=3.911111111111111, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ALRQ5OWWGFODW', iid='B008RNQEUW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A17COWO83HN9WA', iid='B002Y27P6Y', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWGURHFIHHKFT', iid='B004N62HZI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2YR6S09HQSBWV', iid='B0015DYMVO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2ZL52S190T5HZ', iid='B00BT7RAPG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ZKH0D77X13YN', iid='B002VPE1QG', r_ui=5.0, est=4.44921875, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A18ME542U3EN37', iid='B0035WTVWI', r_ui=5.0, est=3.0704225352112675, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3HFPDZU33JAYH', iid='B006PWGESY', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2FYDGF63L7NYD', iid='B000J1DA3Y', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FD99WTGU65UH', iid='B001XURP7W', r_ui=5.0, est=4.405580791693706, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1VC53PJBUYMT3', iid='B007ADFTUG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A16URL5CF3LDEB', iid='B002BU0DPE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWQ5RODZJ5O0D', iid='B000EOSHGQ', r_ui=5.0, est=4.698412698412699, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3TW5F9GRLEUOQ', iid='B0097BEECI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A4BLTDWE0D3OJ', iid='B00726185Q', r_ui=4.0, est=3.84375, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2YFAZTII373YE', iid='B00AWKC0JM', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2JH3ZFMDVCYP3', iid='B000C1Z0HA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZFIZP8WCDM80', iid='B00A9NE84C', r_ui=5.0, est=4.288888888888889, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A17N3G1IMY7RCG', iid='B003VNKKTE', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2A9CO698RXXQS', iid='B001ENOZY4', r_ui=5.0, est=4.6, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3U86QYIMNUUR3', iid='B0012Y6HC8', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3NHV9GH53KXH2', iid='B00752QXZ2', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15YYDU8NORY59', iid='B005DKZTMG', r_ui=3.0, est=4.2662162162162165, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2C0XSTD7X2UMM', iid='B002M3SOC4', r_ui=5.0, est=4.451764705882353, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A34MCHUZQS4GQZ', iid='B0000C3GWU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2CHKSEG1WNX6M', iid='B005GM6H8G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3BNIX7M313129', iid='B0041686QY', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1UJOMS9IINQEI', iid='B003ZX8B2S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3NHUQ33CFH3VM', iid='B003OBXHPC', r_ui=5.0, est=3.537313432835821, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2FO61JYXOKX5M', iid='B0000642RX', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1O3KIR8XGZGV8', iid='B007P4VOWC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AXWIEBLPWT45R', iid='B0022TSC5C', r_ui=5.0, est=3.7777777777777777, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVUSN4W7G4EF2', iid='B0038W0K2K', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2XN87RR1AWZ05', iid='B004JQN670', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3LAVWOZ1PDEW5', iid='B009USAJCC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A22STSNT3O49MF', iid='B00B588HY2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YZ5TJD8NPYZX', iid='B00752R4PK', r_ui=5.0, est=3.9575289575289574, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2P2W364U173R6', iid='B008AJNF78', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CIGP2U56QHOX', iid='B000NVVDKC', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1T5MUZPY4HUHL', iid='B000A0CV9S', r_ui=1.0, est=4.7555555555555555, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ACXY3AVH3VU9T', iid='B003N3GRCQ', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3JWUBWY0Q3T0Q', iid='B004S4XMH2', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A379Z59W3OPD1L', iid='B0044YU60M', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2SEQUFN8W7D07', iid='B002VJL0OS', r_ui=5.0, est=3.6180555555555554, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2LGU363A268Y7', iid='B004SD1ZPY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AWMZYM9NC8CX3', iid='B000BP50AY', r_ui=5.0, est=3.6210526315789475, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AH48Q4OXCJ0ME', iid='B0013FK9U2', r_ui=5.0, est=4.517857142857143, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3S2BZNL03NVMK', iid='B007C6ZN3Y', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A25EHXGAXBJBUE', iid='B007MHFMMU', r_ui=1.0, est=3.29064039408867, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A19FQRD5KW4XSW', iid='B0002KVQBA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A10OD8GJZYDIJ0', iid='B007M4Z60Q', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AG6R7F8CLUYCX', iid='B000BQ7GW8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1KEIXRN1JOHYL', iid='B00ALNPM2C', r_ui=5.0, est=4.384615384615385, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1YS1RFMS6TBYS', iid='B0065L3GKY', r_ui=4.0, est=4.371428571428571, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AVA31N8209O7Y', iid='B000VX6XL6', r_ui=5.0, est=1.0157430240103826, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A230MY7UEP6K5N', iid='B00AWKC0EC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A5AP5Z4ISTP1', iid='B00BCGRTFK', r_ui=1.0, est=4.161803713527852, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3BHOHS0OEVW5R', iid='B003NE5UWI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A19ZXR1TNXCJSO', iid='B003VWU79I', r_ui=5.0, est=3.230769230769231, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='APNEIHPZ0CWIT', iid='B0036VO2B8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2RWPWCSLJU5E7', iid='B009Z3SVRM', r_ui=5.0, est=3.978527607361963, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2ESLMQEZLYD1D', iid='B000U5TUWE', r_ui=5.0, est=4.416481069042316, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2HV76MYH7UL3S', iid='B00BUI44US', r_ui=5.0, est=4.489795918367347, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3J0XB4OOZM3UO', iid='B006BZ5OHW', r_ui=4.0, est=4.434895833333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AA6176V2HKG16', iid='B00D5T3QK4', r_ui=5.0, est=5, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A728B8ZQY3B1C', iid='B001E45XT4', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8TWQEOJ7VOMF', iid='B001E0JH5E', r_ui=5.0, est=3.973821989528796, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A13I9BBOKW10CB', iid='B0002L5R78', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CA6YNREV5UFI', iid='B002WE4HE2', r_ui=4.0, est=4.270522388059701, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A18JVQLWCNHP2Q', iid='B005CI7V1Q', r_ui=4.0, est=4.028673835125448, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1F0BMX4ZA5TGC', iid='B00123WZWK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A27FYAUYCGIB5Z', iid='B006GLEZ8U', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ARXU3FESTWMJJ', iid='B0076POAOE', r_ui=4.0, est=4.470828660436137, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2MEKZ55TA0PPA', iid='B003HFCDLY', r_ui=5.0, est=4.365771812080537, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3BF8FKP5J17K3', iid='B005QXX0MG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A23UPSF6JSKUVI', iid='B002LARRDK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1SHKC7GRTHLFL', iid='B0034XIL60', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AQ71YJV6V2AJP', iid='B00D5Q75RC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AV3RIJJR7KVZ4', iid='B000FBK3QK', r_ui=3.0, est=4.39870340356564, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A15IT68BDRHN0Z', iid='B000QUUFRW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AISAGZQIDI5BB', iid='B005U0M9B8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A31I9R45G1U0G2', iid='B004PNZFZ8', r_ui=4.0, est=3.9754601226993866, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A26T7DDT0L6QMF', iid='B004PNZFZ8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A34H8ZEEEJXMC0', iid='B0038Q4AIG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2MPG524TZESO2', iid='B0015TJNEY', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AYPW2EP3106XT', iid='B0015DYMVO', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1VED626HRTBAC', iid='B008OHNZI0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AN9QQDRZXS52P', iid='B0097C57NC', r_ui=5.0, est=4.333333333333333, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A8FV3XXH79CS1', iid='B0000BVYTV', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2JR10TRIJXJ3R', iid='B000JVCPEY', r_ui=1.0, est=3.4, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='ASJ84X1QJBJS6', iid='B00FAMAQQG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1UL3PXQCXN1WD', iid='B0002TQQUW', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3DTQPHSWN65E8', iid='B006GWO5WK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AGFSSC5DBY2HU', iid='B001TODUXA', r_ui=4.0, est=3.230769230769231, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1C8PQ9N3LFJ7A', iid='B001J1XWZ4', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='ALGLSSA3RKNVM', iid='B007ADFKAK', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A38EWQNSE5WWYO', iid='B0075SUK14', r_ui=5.0, est=4.360493827160494, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AW7G3R2WNX1S9', iid='B0049KV50G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1ZHVI4CS31KS6', iid='B0011FOOI2', r_ui=3.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T0CTNMTH3JGJ', iid='B002SZEOLG', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AZRVFVFIEULPG', iid='B007B5VGFA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2YUM96XNSBC0W', iid='B002XVYZ82', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2Y81U5ROEUP6T', iid='B005SEZR0G', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A17G3Z19SV8DSW', iid='B00DQGIHNW', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A7SJAD32C1TEV', iid='B00AZR962G', r_ui=5.0, est=4.212121212121212, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2WJB8ERIHCILH', iid='B001E2T6Y4', r_ui=4.0, est=3.847457627118644, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A391154D5LDKH5', iid='B009AETXPK', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2YDF9ZS4D9XLU', iid='B002PAR0AQ', r_ui=5.0, est=4.088888888888889, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3S0HSMF3MU2EQ', iid='B005CT56F8', r_ui=5.0, est=4.405841511669038, details={'actual_k': 1, 'was_impossible': False}),
Prediction(uid='A2X5OGGJZDL7R3', iid='B0002IP2TY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3SVPVMZO0YERY', iid='B005HMO6A6', r_ui=5.0, est=4.235625704622322, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A534V1PODUK4B', iid='B006GLEZ8U', r_ui=5.0, est=4.286290322580645, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1QQIAEMQXXXN2', iid='B00005AW1H', r_ui=1.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A28NU6WO5L020Q', iid='B000CSWCQA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2HDDTSVTO86ZP', iid='B00012FVYC', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3VIAFANIZY55M', iid='B004SPVZKW', r_ui=5.0, est=4.123924268502582, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A28DAWWYKHA5VQ', iid='B00E3W15P0', r_ui=5.0, est=4.788172992056487, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A2F80V59A8PFTZ', iid='B00834SJNA', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3CIRU3W565CNN', iid='B00GR30SW4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1JN2X5MFA0TZY', iid='B00555330E', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1BXZJUDU791H1', iid='B008OZF9SQ', r_ui=5.0, est=4.657718120805369, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='AU406CW0R056Q', iid='B000P0O12I', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2BT2O00T3BHVV', iid='B004SPVZKW', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1IR1LC845G782', iid='B007TSDQUM', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A27PLQ305F91PZ', iid='B00622AG6S', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='AA71TX4W3VQRP', iid='B001XURP7W', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2E8G32PJ90U5Q', iid='B00DPTPEMC', r_ui=5.0, est=3.25531914893617, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A331YCWKY9R95', iid='B00B46XUQU', r_ui=2.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1XGLRNFZMWXX1', iid='B001CIREXA', r_ui=5.0, est=4.474036850921273, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3PORCMRZTFA0E', iid='B00IAAALFG', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A16IGVY8NFROJ', iid='B0098QSTFK', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8CIFOCCN9G1P', iid='B000JE7GPY', r_ui=5.0, est=4.609649122807017, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1MO703GSEBBE2', iid='B0044779G8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A8D60S4UR476L', iid='B000OTF6G0', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1G2X89ESOYW8X', iid='B00007KDVI', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A28B8QFSYRPJER', iid='B008Z0F3FY', r_ui=3.0, est=4.207692307692308, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A3ISA8LBB5P34E', iid='B001M0JAVC', r_ui=5.0, est=3.7091633466135456, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A29MHCSXBKENNE', iid='B00FY2SBR8', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A3FZFOK80G4BU8', iid='B004EHNAM0', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2T6F02K26AU5E', iid='B0051XJXJU', r_ui=3.0, est=3.86046511627907, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A1VL55A3BZO9HM', iid='B000NUBY0C', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A1YGYUSHTL4J0H', iid='B0068MSGZA', r_ui=5.0, est=4.344902386117137, details={'actual_k': 0, 'was_impossible': False}),
Prediction(uid='A68H3EE858RSL', iid='B002HWRJY4', r_ui=4.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A2QUDBI7R6Z3ED', iid='B003ES5ZUU', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
Prediction(uid='A15XL4OQAPKB5Y', iid='B0018LX0DY', r_ui=5.0, est=4.085856797025576, details={'was_impossible': True, 'reason': 'User and/or item is unknown.'}),
...]
In [23]:
# get RMSE
print("Item-based Model : Test Set")
accuracy.rmse(test_pred, verbose=True)
Item-based Model : Test Set RMSE: 1.3256
Out[23]:
1.3255974603789962
Model Based collaborative filtering for recommender system with SVD
In [24]:
new_df1=new_df.head(10000)
ratings_matrix = new_df1.pivot_table(values='Rating', index='userId', columns='productId', fill_value=0)
ratings_matrix.head()
Out[24]:
| productId | 0972683275 | 1400532655 | 1400698987 | 9573212919 | 9983891212 | B00000DM9W | B00000J1UQ | B00000JBAT | B00000JDF6 | B00000JSGF | ... | B00J3H1P7S | B00J46VVKE | B00J5HDEPC | B00J5O7BMC | B00J8JLOA4 | B00JDAIMQ2 | B00JLADOGW | B00K4VQZCM | B00K91DB7Y | B00KFAGCUM |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| userId | |||||||||||||||||||||
| A0009478CBXKUCALUC7U | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| A003734036BYKEBX7UQCZ | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| A0110255Y4ER0RTKEKXS | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| A01682761RQSOIBP1TBDQ | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| A03889472EE5BD6B5IRVB | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
5 rows × 5501 columns
In [25]:
ratings_matrix.shape
Out[25]:
(9977, 5501)
In [26]:
X = ratings_matrix.T
X.head()
Out[26]:
| userId | A0009478CBXKUCALUC7U | A003734036BYKEBX7UQCZ | A0110255Y4ER0RTKEKXS | A01682761RQSOIBP1TBDQ | A03889472EE5BD6B5IRVB | A056740224B9YJST1QK7K | A06920746QV640VA3XTM | A09156071XCLIPW7SUW3E | A100QK17COZ99I | A100UD67AHFODS | ... | AZW7PDA9PBDO | AZWDV32H173CE | AZWUYFJF3ZVX6 | AZWV8PN0A15U | AZYL9QU0O1SI1 | AZYU4K7J5FM51 | AZYY3QVGTHKTE | AZZ1B8DPRTHY9 | AZZ2BOUPHF0D7 | AZZYW4YOE1B6E |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| productId | |||||||||||||||||||||
| 0972683275 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| 1400532655 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| 1400698987 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| 9573212919 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
| 9983891212 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | ... | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
5 rows × 9977 columns
In [27]:
X.shape
Out[27]:
(5501, 9977)
5501 is the number of unique products in the subset data
In [28]:
X1 = X
In [29]:
#Decomposing the Matrix
from sklearn.decomposition import TruncatedSVD
SVD = TruncatedSVD(n_components=10)
decomposed_matrix = SVD.fit_transform(X)
decomposed_matrix.shape
Out[29]:
(5501, 10)
In [30]:
#Correlation Matrix
correlation_matrix = np.corrcoef(decomposed_matrix)
correlation_matrix.shape
Out[30]:
(5501, 5501)
In [31]:
X.index[75]
Out[31]:
'B00005T3W5'
The Index # of selected product ID, assuming it was purchased by a customer
In [32]:
i = "B00005T3W5"
product_names = list(X.index)
product_ID = product_names.index(i)
product_ID
Out[32]:
75
Using the selected item, we run Correlation for all items, based on items rated by other customers who bought the same product.
In [33]:
correlation_product_ID = correlation_matrix[product_ID]
correlation_product_ID.shape
Out[33]:
(5501,)
In [34]:
Recommend = list(X.index[correlation_product_ID > 0.65])
# Removes the item already bought by the customer
Recommend.remove(i)
Recommend[0:24]
Out[34]:
['0972683275', '9573212919', 'B00000J1UQ', 'B00000JBAT', 'B00000JSGF', 'B00000K4KH', 'B00001P4XA', 'B00001W0EQ', 'B00001WRSJ', 'B00004SY4H', 'B00004TDLD', 'B00004THCZ', 'B00004TL5Q', 'B00004VX3T', 'B00004WCGC', 'B00004Z5M1', 'B000051SEN', 'B000053HH5', 'B000058BCQ', 'B00005A1K1', 'B00005ARK3', 'B00005K47X', 'B00005LEN4', 'B00005ML7Q']
These are the Product IDs of the top 25 most related products
Model Evaluation
In [35]:
# RMSE (Root Mean Squared Error)
print("Item-based Model: Test Set RMSE")
rmse = accuracy.rmse(test_pred, verbose=True)
# MAE (Mean Absolute Error)
print("Item-based Model: Test Set MAE")
mae = accuracy.mae(test_pred, verbose=True)
Item-based Model: Test Set RMSE RMSE: 1.3256 Item-based Model: Test Set MAE MAE: 1.0354
In [36]:
#Precision and recall
from collections import defaultdict
def precision_recall_at_k(predictions, k=10, threshold=3.5):
"""Return precision and recall at k metrics for each user."""
# Mapping the predictions to each user.
user_est_true = defaultdict(list)
for uid, _, true_r, est, _ in predictions:
user_est_true[uid].append((est, true_r))
precisions = dict()
recalls = dict()
for uid, user_ratings in user_est_true.items():
# Sort user ratings by estimated value
user_ratings.sort(key=lambda x: x[0], reverse=True)
# Number of relevant items
n_rel = sum((true_r >= threshold) for (_, true_r) in user_ratings)
# Number of recommended items in top k
n_rec_k = sum((est >= threshold) for (est, _) in user_ratings[:k])
# Number of relevant and recommended items in top k
n_rel_and_rec_k = sum(((true_r >= threshold) and (est >= threshold))
for (est, true_r) in user_ratings[:k])
# Precision@K: Proportion of recommended items that are relevant
precisions[uid] = n_rel_and_rec_k / n_rec_k if n_rec_k != 0 else 1
# Recall@K: Proportion of relevant items that are recommended
recalls[uid] = n_rel_and_rec_k / n_rel if n_rel != 0 else 1
# Average Precision and Recall
precision = sum(prec for prec in precisions.values()) / len(precisions)
recall = sum(rec for rec in recalls.values()) / len(recalls)
return precision, recall
# Calculate Precision and Recall at K
precision, recall = precision_recall_at_k(test_pred, k=10, threshold=3.5)
print(f'Precision@K: {precision}')
print(f'Recall@K: {recall}')
Precision@K: 0.772536049183078 Recall@K: 0.9814879683772517
In [37]:
def coverage(predictions, total_items, threshold=3.5):
recommended_items = set()
for uid, _, _, est, _ in predictions:
if est >= threshold:
recommended_items.add(uid)
return len(recommended_items) / total_items
# Calculate Coverage
total_items = len(set(electronics_data['productId']))
coverage_score = coverage(test_pred, total_items, threshold=3.5)
print(f'Coverage: {coverage_score}')
Coverage: 1.209881471086256
In [ ]: