Introduction

In this project there will be presented 3 topics from Unsupervised Learning. Firstly I would like to present clustering of the data, then moving to dimension reduction and finishing with association rules. All algorithms will be presented on one database which was gathered as a part of my graduation work project.

Nowadays, analysing text and observing sentiment is getting more and more popular. It is like getting information from sources that cannot be explained by math or statistic but actaully they can. Because of

First of all I would like to describe the data as it is important to know what we can expect. The data was gathered from twitter and it is about polish gaming stock company - CD Project RED. The tweets about the company was gathered via twitter API and it contains tweet text, number of likes and retweets, date of publication and user. Only tweets containing one of the keywords connected with CDPR were taken into consideration. They were gathered from february 2021 to may 2021 and database contains about 45 000 unique tweets. From each tweet I would like to extract emojis and text. Then the sentiment analysis will be conducted to get some numeric variables from text and then proceed with analyses. I would also like to obtain words from each tweet to extract some association rules.

All further steps and analyses will be described in each block of the project.

Packages

Before loading packages by “library(package_name)” first make sure that they are installed. If they are not please use “install.packages(package_name)” to install them.

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.0.5
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 4.0.5
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(flexclust)
## Warning: package 'flexclust' was built under R version 4.0.5
## Loading required package: grid
## Loading required package: lattice
## Loading required package: modeltools
## Loading required package: stats4
library(fpc)
## Warning: package 'fpc' was built under R version 4.0.5
library(clustertend)
## Warning: package 'clustertend' was built under R version 4.0.5
library(cluster)
## Warning: package 'cluster' was built under R version 4.0.5
library(ClusterR)
## Warning: package 'ClusterR' was built under R version 4.0.5
## Loading required package: gtools
## Warning: package 'gtools' was built under R version 4.0.5
library(stats)
library(tsne)
library(NbClust)
library(arules)
## Warning: package 'arules' was built under R version 4.0.5
## Loading required package: Matrix
## 
## Attaching package: 'arules'
## The following object is masked from 'package:flexclust':
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##     info
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##     abbreviate, write
library(arulesViz)
## Warning: package 'arulesViz' was built under R version 4.0.5
library(arulesCBA)
## Warning: package 'arulesCBA' was built under R version 4.0.5
## 
## Attaching package: 'arulesCBA'
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##     rules
library(graphics)
library(purrr)
library(stringr)
library(tm)
## Loading required package: NLP
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## The following object is masked from 'package:ggplot2':
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##     annotate
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library(syuzhet)
library(dplyr)
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## Attaching package: 'dplyr'
## The following objects are masked from 'package:arules':
## 
##     intersect, recode, setdiff, setequal, union
## The following objects are masked from 'package:stats':
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##     filter, lag
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library(wordcloud)
## Warning: package 'wordcloud' was built under R version 4.0.4
## Loading required package: RColorBrewer
library(plyr)
## Warning: package 'plyr' was built under R version 4.0.5
## ------------------------------------------------------------------------------
## You have loaded plyr after dplyr - this is likely to cause problems.
## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
## library(plyr); library(dplyr)
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library(corrplot)
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library(ggplot2)
library(gridExtra)
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library(grid)
library(tm)
library(knitr)


options(scipen = 999, "digits"=4)

After loading needed libraries we can go throught clearing and exploring data, before we get to the actual analysis with use of Unsupervised Learning algorithms

Loading data

Loading data from csv files

Data <- read.csv("C:/Users/48799/Desktop/Studia/Magisterka UW/Unsupervised Learning/Data.csv")
trans <- read.transactions("C:/Users/48799/Desktop/Studia/Magisterka UW/Unsupervised Learning/Words2.csv", format = "basket",
                            header = TRUE, sep=",")

Exploration

Adding month and hour as different columns and SentimentOverall which is sum of sentiment from text and from emoticons

Data <- Data[,-1]
Data <- Data[,-3]

month <- as.numeric(substr(Data$created,7,7))
hour <- as.numeric(substr(Data$created,12,13))

Data <- Data[,-2]

Data$month <- month
Data$hour <- hour

Data$SentimentOverall <- Data$EmojisSentiment+Data$Sentiment

Now I would like to see some descriptive statistics for our data

summary(Data)
##  favoriteCount    retweetCount    EmojisSentiment       anger      
##  Min.   :    0   Min.   :   0.0   Min.   :-3.0000   Min.   :0.000  
##  1st Qu.:    0   1st Qu.:   0.0   1st Qu.: 0.0000   1st Qu.:0.000  
##  Median :    1   Median :   0.0   Median : 0.0000   Median :0.000  
##  Mean   :    7   Mean   :   1.1   Mean   : 0.0591   Mean   :0.151  
##  3rd Qu.:    3   3rd Qu.:   1.0   3rd Qu.: 0.0000   3rd Qu.:0.000  
##  Max.   :11600   Max.   :1192.0   Max.   : 3.0000   Max.   :4.000  
##   anticipation      disgust           fear            joy       
##  Min.   :0.000   Min.   :0.000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.000   Median :0.000  
##  Mean   :0.349   Mean   :0.117   Mean   :0.174   Mean   :0.275  
##  3rd Qu.:1.000   3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:0.000  
##  Max.   :5.000   Max.   :4.000   Max.   :4.000   Max.   :5.000  
##     sadness         surprise         trust        negative        positive    
##  Min.   :0.000   Min.   :0.000   Min.   :0.0   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.000   1st Qu.:0.000   1st Qu.:0.0   1st Qu.:0.000   1st Qu.:0.000  
##  Median :0.000   Median :0.000   Median :0.0   Median :0.000   Median :0.000  
##  Mean   :0.161   Mean   :0.174   Mean   :0.3   Mean   :0.365   Mean   :0.548  
##  3rd Qu.:0.000   3rd Qu.:0.000   3rd Qu.:1.0   3rd Qu.:1.000   3rd Qu.:1.000  
##  Max.   :4.000   Max.   :4.000   Max.   :4.0   Max.   :5.000   Max.   :6.000  
##    Sentiment          month           hour    SentimentOverall
##  Min.   :-4.050   Min.   :2.00   Min.   : 0   Min.   :-4.250  
##  1st Qu.:-0.100   1st Qu.:3.00   1st Qu.: 8   1st Qu.:-0.106  
##  Median : 0.000   Median :4.00   Median :14   Median : 0.000  
##  Mean   : 0.198   Mean   :3.77   Mean   :13   Mean   : 0.257  
##  3rd Qu.: 0.750   3rd Qu.:4.00   3rd Qu.:18   3rd Qu.: 0.750  
##  Max.   : 5.400   Max.   :5.00   Max.   :23   Max.   : 6.800

As we can see there are some very big outliers for variables favouriteCount and retweetCount that is why I would normalize this two variables to make sure that they will not affect analyses with high values

Data$favoriteCount<-scale(Data$favoriteCount)
Data$retweetCount<-scale(Data$retweetCount)

Now let us look at the sentiment of tweets based on the month and hour when tweet was posted. Red line on the graphs shows mean sentiment for all tweets that were gathered. We can see that on February and March sentiment of tweets were higher than mean and it was falling each month.

ag1<-aggregate.data.frame(Data$SentimentOverall,list(Data$month),mean)
ag1$positive <- ifelse(ag1$x>=0,1,2)
plot(as.character(ag1$Group.1),ag1$x, cex=3,col=ag1$positive, pch=19, xlab="Month", ylab="Mean sentiment")
abline(h=mean(Data$SentimentOverall), col="red", lwd = 2)

Analyzing the sentiment based on hour of the posted tweet we can also see the groups in which posts were more positive and groups of time when they were more negative.

ag2<-aggregate.data.frame(Data$SentimentOverall,list(Data$hour),mean)
ag2$positive <- ifelse(ag2$x>=0,1,2)
plot(ag2$Group.1,ag2$x, cex=3,col=ag2$positive, pch=19, xlab="Hour", ylab="Mean sentiment")
abline(h=mean(Data$SentimentOverall), col="red", lwd = 2)

We should also look at the correlation between variables. As we can expect some emotions are highly correlated with each other, but now we can see how strong that correlation is.

cor.matrix <- cor(Data, method = c("spearman"))
corrplot(cor.matrix, type = "lower", order = "alphabet", tl.col = "black", tl.cex = 1, col=colorRampPalette(c("#99FF33", "#CC0066", "black"))(200))

Clustering

Before clustering

First we will start analysis with clustering. Based on the data we may expect that there will be at least two groups - positive tweets and negative tweets. Maybe after clustering we will see some other groups. The dataset has around 45 000 observations which may be quite intense for some algorithms, that is why I decided to randomly pick a sample of 10 000 observations on which we will proceed with clustering. We will also standardize variables to make sure high or low values do not affect whole analysis. After standardization we will not be able to interpret values so easy but still we can interpret them as a relation to other groups.

data.standarized <- as.data.frame(scale(Data))

set.seed(12444)
Sample <- sample_n(data.standarized,10000)

str(Sample)
## 'data.frame':    10000 obs. of  17 variables:
##  $ favoriteCount   : num  -0.081 -0.081 -0.081 -0.081 -0.081 ...
##  $ retweetCount    : num  -0.1167 -0.1167 -0.1167 -0.1167 -0.0111 ...
##  $ EmojisSentiment : num  -0.167 -0.167 -0.167 -0.167 -0.167 ...
##  $ anger           : num  -0.376 -0.376 -0.376 -0.376 -0.376 ...
##  $ anticipation    : num  1.05 -0.56 -0.56 -0.56 -0.56 ...
##  $ disgust         : num  -0.333 -0.333 -0.333 -0.333 -0.333 ...
##  $ fear            : num  -0.404 -0.404 -0.404 -0.404 -0.404 ...
##  $ joy             : num  1.34 -0.51 -0.51 -0.51 -0.51 ...
##  $ sadness         : num  -0.394 -0.394 -0.394 -0.394 -0.394 ...
##  $ surprise        : num  -0.41 -0.41 -0.41 -0.41 -0.41 ...
##  $ trust           : num  1.263 -0.542 -0.542 -0.542 -0.542 ...
##  $ negative        : num  1.024 -0.588 -0.588 -0.588 -0.588 ...
##  $ positive        : num  0.589 -0.715 -0.715 -0.715 -0.715 ...
##  $ Sentiment       : num  0.261 -0.255 -0.255 -0.255 -0.255 ...
##  $ month           : num  0.29 1.578 -0.998 0.29 0.29 ...
##  $ hour            : num  1.518 -1.527 -0.309 -0.766 -1.223 ...
##  $ SentimentOverall: num  0.164 -0.294 -0.294 -0.294 -0.294 ...
summary(Sample)
##  favoriteCount    retweetCount    EmojisSentiment      anger       
##  Min.   :-0.08   Min.   :-0.117   Min.   :-8.653   Min.   :-0.376  
##  1st Qu.:-0.08   1st Qu.:-0.117   1st Qu.:-0.167   1st Qu.:-0.376  
##  Median :-0.07   Median :-0.117   Median :-0.167   Median :-0.376  
##  Mean   :-0.01   Mean   :-0.008   Mean   : 0.010   Mean   : 0.001  
##  3rd Qu.:-0.05   3rd Qu.:-0.011   3rd Qu.:-0.167   3rd Qu.:-0.376  
##  Max.   :34.28   Max.   :14.662   Max.   : 8.319   Max.   : 9.553  
##   anticipation       disgust            fear             joy       
##  Min.   :-0.560   Min.   :-0.333   Min.   :-0.404   Min.   :-0.51  
##  1st Qu.:-0.560   1st Qu.:-0.333   1st Qu.:-0.404   1st Qu.:-0.51  
##  Median :-0.560   Median :-0.333   Median :-0.404   Median :-0.51  
##  Mean   : 0.001   Mean   : 0.012   Mean   :-0.006   Mean   : 0.00  
##  3rd Qu.: 1.045   3rd Qu.:-0.333   3rd Qu.:-0.404   3rd Qu.:-0.51  
##  Max.   : 5.860   Max.   : 8.210   Max.   : 8.880   Max.   : 8.74  
##     sadness          surprise          trust           negative     
##  Min.   :-0.394   Min.   :-0.410   Min.   :-0.542   Min.   :-0.588  
##  1st Qu.:-0.394   1st Qu.:-0.410   1st Qu.:-0.542   1st Qu.:-0.588  
##  Median :-0.394   Median :-0.410   Median :-0.542   Median :-0.588  
##  Mean   : 0.007   Mean   : 0.009   Mean   : 0.004   Mean   : 0.018  
##  3rd Qu.:-0.394   3rd Qu.:-0.410   3rd Qu.: 1.263   3rd Qu.: 1.024  
##  Max.   : 9.402   Max.   : 9.035   Max.   : 6.680   Max.   : 7.471  
##     positive        Sentiment          month              hour        
##  Min.   :-0.715   Min.   :-5.096   Min.   :-2.2862   Min.   :-1.9837  
##  1st Qu.:-0.715   1st Qu.:-0.449   1st Qu.:-0.9981   1st Qu.:-0.7658  
##  Median :-0.715   Median :-0.255   Median : 0.2901   Median : 0.1476  
##  Mean   : 0.005   Mean   :-0.016   Mean   :-0.0085   Mean   :-0.0033  
##  3rd Qu.: 0.589   3rd Qu.: 0.648   3rd Qu.: 0.2901   3rd Qu.: 0.7565  
##  Max.   : 5.804   Max.   : 4.779   Max.   : 1.5782   Max.   : 1.5177  
##  SentimentOverall
##  Min.   :-4.580  
##  1st Qu.:-0.465  
##  Median :-0.294  
##  Mean   :-0.010  
##  3rd Qu.: 0.564  
##  Max.   : 6.505

Before we apply actual clustering algorithms we should check if the data is can be clustered. In that case we will use Hopkins statistic. Null hypothesis for the test is that there are no meaningful clusters in the data. Alternative hypothesis assumes that data can be clustered. Basically if the statistic is around 1 we can reject null hypothesis and proceed with clustering. Unfortunately R Markdown had a problem with handling such a big vector but the statistic is equal to 0.9649.

#get_clust_tendency(Sample,100)

As we can see the Hopkins statistic is around 1. That means we can cluster our data. The question is how many clusters we should get? We will check it by Calinski-Harabasz and Duda-Hart index first. We will also take a look at Silhouette index index, elbow method, shadow statistic.

Let us start with Calinski-Harabasz and Duda-Hart indexes. Basically we will run 3 k-means clustering (with k=4, k=3 and k=2) and then we will check the statistics of indexes for each type of clustering. The higher the statistic the better it is to use that number of clusters.

km4<-kmeans(Sample, 4)
km3<-kmeans(Sample, 3)
km2<-kmeans(Sample,2)
round(calinhara(Sample, km4$cluster),digits=2)
## [1] 1892
round(calinhara(Sample, km3$cluster),digits=2)
## [1] 1588
round(calinhara(Sample, km2$cluster),digits=2)
## [1] 2017
dudahart2(Sample, km4$cluster)
## $p.value
## [1] 0
## 
## $dh
## [1] 0.3128
## 
## $compare
## [1] 0.9522
## 
## $cluster1
## [1] FALSE
## 
## $alpha
## [1] 0.001
## 
## $z
## [1] 3.09
dudahart2(Sample, km3$cluster)
## $p.value
## [1] 0
## 
## $dh
## [1] 0.5693
## 
## $compare
## [1] 0.9522
## 
## $cluster1
## [1] FALSE
## 
## $alpha
## [1] 0.001
## 
## $z
## [1] 3.09
dudahart2(Sample, km2$cluster)
## $p.value
## [1] 0
## 
## $dh
## [1] 0.8321
## 
## $compare
## [1] 0.9522
## 
## $cluster1
## [1] FALSE
## 
## $alpha
## [1] 0.001
## 
## $z
## [1] 3.09

As we can see both indexes shows that the optimal number of clusters is 2 (we should look at highest values of $dh)Next we shall move to elbow method which can asses optimal number of clusters visually and Shilhouette statistic interpreted as - the higher statistic the the better.

opt1<-Optimal_Clusters_KMeans(Sample, max_clusters=10, plot_clusters = TRUE, max_iters = 10000)

opt2<-Optimal_Clusters_KMeans(Sample, max_clusters=10, plot_clusters=TRUE, criterion="silhouette",max_iters = 15)

Here we have similar situation, that shows k=2 is optimal. Nevertheless k=3 and k=4 may be also not so bad, as they have quite high values. Now we can move to the Shadow statistic, which is also used to asses optimal number of clusters. This time the lower values the better number of clusters. I did two versions first with “euclidean” distance and second with “manhattan” distance measure

d1<-cclust(Sample, 5, dist="euclidean")
## Found more than one class "kcca" in cache; using the first, from namespace 'flexclust'
## Also defined by 'kernlab'
## Found more than one class "kcca" in cache; using the first, from namespace 'flexclust'
## Also defined by 'kernlab'
shadow(d1)
##      1      2      3      4      5 
## 0.8844 0.7492 0.8100 0.8274 0.8121
plot(shadow(d1))

d2<-cclust(Sample, 5, dist="manhattan")
shadow(d2)
##      1      2      3      4      5 
## 0.8392 0.8002 0.8142 0.7941 0.7366
plot(shadow(d2))

Shadows statistic with eulidean measure shows the k=2 as optimal, whereas considering manhattan distance measure other numbers of clusters are optimal (they have similar values and k=5 is optimal). Now let`s see different method with usage of medoids with two distance measures “euclidean” and “manhattan”.

opt4<-Optimal_Clusters_Medoids(Sample, 5, 'euclidean', plot_clusters=TRUE)
##   
## Based on the plot give the number of clusters (greater than 1) that you consider optimal?
## Warning: The plot can not be created for the specified number of clusters. This
## means the output data do not fit in the figure (plot) margins.
opt4<-Optimal_Clusters_Medoids(Sample, 5, 'manhattan', plot_clusters=TRUE)
##   
## Based on the plot give the number of clusters (greater than 1) that you consider optimal?
## Warning: The plot can not be created for the specified number of clusters. This
## means the output data do not fit in the figure (plot) margins.

K-MEANS

Based on a lot of different statistics we can see that there are different options to choose. Knowing data we may expect just 2 clusters with positive and negative tweets, but that is not that much informative. That is why I would like to see clustering for k=2 just to make sure it will look as I thought. Then I would like to try k=3 and k=4 which may be less optimal but may give us some more insights of the data.

fviz_cluster(list(data=Sample, cluster=km2$cluster), 
             ellipse.type="norm", geom="point", stand=FALSE, palette="jco", ggtheme=theme_classic())

fviz_cluster(list(data=Sample, cluster=km3$cluster), 
             ellipse.type="norm", geom="point", stand=FALSE, palette="jco", ggtheme=theme_classic())

fviz_cluster(list(data=Sample, cluster=km4$cluster), 
             ellipse.type="norm", geom="point", stand=FALSE, palette="jco", ggtheme=theme_classic())

Now let us see some post hoc analysis for each type. First lets try to call each cluster based what kind of observations are inside each of them. We would also see a plot that shows how far each observation is from its centroid.

km2$centers
##   favoriteCount retweetCount EmojisSentiment   anger anticipation disgust
## 1      -0.00268    -0.002497         0.01914 -0.3173      -0.0206 -0.2546
## 2      -0.02177    -0.040349        -0.03740  1.7095       0.1154  1.4419
##     fear       joy sadness surprise    trust negative  positive Sentiment
## 1 -0.304 -0.004688  -0.271 -0.04863 -0.01488  -0.2861 -0.003373    0.1574
## 2  1.597  0.028083   1.499  0.31667  0.10576   1.6536  0.052781   -0.9448
##      month      hour SentimentOverall
## 1 -0.01473 -0.002381           0.1471
## 2  0.02490 -0.008131          -0.8516
km3$centers
##   favoriteCount retweetCount EmojisSentiment   anger anticipation disgust
## 1     -0.005257   -0.0006652         0.28878 -0.3408      -0.1929 -0.3126
## 2     -0.007125   -0.0125843        -0.18067  0.1610      -0.3434  0.1157
## 3     -0.001694   -0.0105422         0.07587  0.1668       1.5466  0.3293
##      fear      joy sadness surprise    trust negative positive Sentiment
## 1 -0.3310 -0.07994 -0.3153  -0.3455 -0.05196  -0.4434   0.1325    0.5935
## 2  0.1457 -0.46544  0.1224  -0.2655 -0.41216   0.2937  -0.5263   -0.6599
## 3  0.1566  1.72031  0.2822   1.6507  1.50806   0.0465   1.5194    0.8853
##      month     hour SentimentOverall
## 1 -0.02514  0.02129           0.6421
## 2 -0.03054 -0.03151          -0.6573
## 3  0.09912  0.04050           0.8145
km4$centers
##   favoriteCount retweetCount EmojisSentiment   anger anticipation  disgust
## 1     -0.021302    -0.016251        -0.16066 -0.3162     -0.33565 -0.28981
## 2     -0.021160    -0.040349        -0.06762  1.8010      0.02253  1.51861
## 3      0.007418    -0.002137         0.17773 -0.1722      1.32192 -0.02993
## 4      0.014234     0.012897         0.17118 -0.3188     -0.35016 -0.26976
##      fear     joy  sadness surprise    trust negative positive Sentiment
## 1 -0.3079 -0.3941 -0.29059  -0.3452 -0.32817  -0.2842 -0.35107  -0.10486
## 2  1.7069 -0.1104  1.59937   0.2053 -0.01916   1.7207 -0.05795  -1.06310
## 3 -0.1635  1.6009 -0.03701   1.2455  1.40014  -0.2503  1.47336   1.09248
## 4 -0.3126 -0.3777 -0.31802  -0.3506 -0.37568  -0.2181 -0.36630  -0.06681
##      month       hour SentimentOverall
## 1  0.70599  0.0007237         -0.15775
## 2  0.03544 -0.0127952         -0.96857
## 3  0.07233  0.0400711          1.03907
## 4 -1.01193 -0.0297372          0.01001
d1<-cclust(Sample, 2, dist="euclidean")
stripes(d1)

d2<-cclust(Sample, 3, dist="euclidean")
stripes(d2)

d3<-cclust(Sample, 4, dist="euclidean")
stripes(d3)

For k=2 first cluster seems to have lower values of sentiment so we could call it as negative tweets cluster, whereas second has more positive emotions and sentiment

For k=3 first cluster seems to be a cluster of positive tweets as it has bigger values for positive variables, second cluster may be called negative values as it has high values of negative variables. Third one could be called neutral as values of variables seems to be near 0. I think that k=3 shows better differences between groups than k=2.

For k=4 3th and 4th cluster seems to be again negative and positive tweets. First cluster could be called neutral and third one is quite hard to describe - I would say it is a group of negative tweets but just a bit less harsh than in the 3rd cluster as they have lower values for negative variables.

CLARA

Now we can move to CLARA algorithm to see the results

clara_2<-eclust(Sample, "clara", k=2) 

clara_2$medoids
##      favoriteCount retweetCount EmojisSentiment   anger anticipation disgust
## [1,]      -0.08097      -0.1167         -0.1673 -0.3756       1.0452  -0.333
## [2,]      -0.08097      -0.1167         -0.1673 -0.3756      -0.5597  -0.333
##        fear     joy sadness surprise   trust negative positive Sentiment  month
## [1,] -0.404  1.3408 -0.3938  -0.4102  1.2635  -0.5879   0.5888    0.7129 0.2901
## [2,] -0.404 -0.5097 -0.3938  -0.4102 -0.5421  -0.5879  -0.7151   -0.3844 0.2901
##        hour SentimentOverall
## [1,] 1.2132           0.5635
## [2,] 0.1476          -0.4079
fviz_silhouette(clara_2)
##   cluster size ave.sil.width
## 1       1 2592          0.08
## 2       2 7408          0.35

clara_3<-eclust(Sample, "clara", k=3) 

clara_3$medoids
##      favoriteCount retweetCount EmojisSentiment   anger anticipation disgust
## [1,]      -0.08097      -0.1167         -0.1673 -0.3756      -0.5597  -0.333
## [2,]      -0.08097      -0.1167         -0.1673 -0.3756       2.6500  -0.333
## [3,]       0.08084       0.3055         -0.1673  2.1066      -0.5597   2.515
##        fear     joy sadness surprise   trust negative positive Sentiment
## [1,] -0.404 -0.5097 -0.3938  -0.4102 -0.5421  -0.5879  -0.7151   -0.3844
## [2,] -0.404  1.3408 -0.3938   1.9510  1.2635  -0.5879   1.8926    0.9065
## [3,]  1.917 -0.5097  2.0551  -0.4102 -0.5421   1.0239  -0.7151   -1.2235
##        month    hour SentimentOverall
## [1,]  0.2901  0.1476          -0.4079
## [2,]  0.2901 -0.3091           0.7350
## [3,] -0.9981  0.2998          -1.1508
fviz_silhouette(clara_3)
##   cluster size ave.sil.width
## 1       1 7150          0.42
## 2       2 1685          0.13
## 3       3 1165          0.10

clara_4<-eclust(Sample, "clara", k=4) 

clara_4$medoids
##      favoriteCount retweetCount EmojisSentiment   anger anticipation disgust
## [1,]      -0.06941      -0.1167         -0.1673 -0.3756      -0.5597  -0.333
## [2,]      -0.08097      -0.1167         -0.1673 -0.3756       2.6500  -0.333
## [3,]       0.08084       0.3055         -0.1673  2.1066      -0.5597   2.515
## [4,]       0.05773       0.9389          6.7578 -0.3756       1.0452  -0.333
##        fear     joy sadness surprise   trust negative positive Sentiment
## [1,] -0.404 -0.5097 -0.3938  -0.4102 -0.5421  -0.5879  -0.7151   -0.2553
## [2,] -0.404  1.3408 -0.3938   1.9510  1.2635  -0.5879   1.8926    0.9065
## [3,]  1.917 -0.5097  2.0551  -0.4102 -0.5421   1.0239  -0.7151   -1.2235
## [4,]  1.917  1.3408 -0.3938   1.9510 -0.5421  -0.5879   1.8926    4.2628
##        month      hour SentimentOverall
## [1,]  0.2901 -0.004638          -0.2936
## [2,] -0.9981  0.147598           0.7350
## [3,] -0.9981  0.299833          -1.1508
## [4,]  1.5782  0.452069           6.5046
fviz_silhouette(clara_4)
##   cluster size ave.sil.width
## 1       1 7195          0.41
## 2       2 1559          0.16
## 3       3 1162          0.10
## 4       4   84          0.33

DIMENSION REDUCTION

PCA

We will start with basic PCA algorithm to see if the data can be reduced to lower dimensionality. Knowing that variables are correlated with each other based on exploration at the beginning of analysis we can expect that we will be able to reduce some common variables to single one.

Data.PCA <- prcomp(data.standarized, center = TRUE, scale = TRUE)
summary(Data.PCA)
## Importance of components:
##                         PC1   PC2   PC3    PC4    PC5    PC6    PC7    PC8
## Standard deviation     2.02 1.866 1.386 1.1170 1.0004 0.9940 0.8602 0.8121
## Proportion of Variance 0.24 0.205 0.113 0.0734 0.0589 0.0581 0.0435 0.0388
## Cumulative Proportion  0.24 0.445 0.558 0.6314 0.6903 0.7484 0.7920 0.8308
##                           PC9   PC10   PC11  PC12   PC13   PC14   PC15    PC16
## Standard deviation     0.7450 0.6913 0.6761 0.626 0.5798 0.5735 0.4994 0.28486
## Proportion of Variance 0.0326 0.0281 0.0269 0.023 0.0198 0.0193 0.0147 0.00477
## Cumulative Proportion  0.8634 0.8915 0.9184 0.941 0.9612 0.9806 0.9952 1.00000
##                                     PC17
## Standard deviation     0.000000000000104
## Proportion of Variance 0.000000000000000
## Cumulative Proportion  1.000000000000000

We can see that around 10 components explain almost 90% of variance in data. Now lets plot it and see how it looks and add table with cumulative variance explained under. Then we can plot eigen values to see which are higher than 1. The ones that are bigger than that threshold could be used to further analysis and we will chose only those that fulfill this constraint.

eig.val <- get_eigenvalue(Data.PCA)
eig.val_plot <- eig.val$variance.percent
eig.val_plot2 <- eig.val$eigenvalue
qplot(c(1:17),eig.val_plot) + 
  geom_line() + 
  xlab("Principal Component") + 
  ylab("Variance Explained") +
  ggtitle("Scree Plot") +
  ylim(0, 25)+xlim(1,10)
## Warning: Removed 7 rows containing missing values (geom_point).
## Warning: Removed 7 row(s) containing missing values (geom_path).

eig.val$cumulative.variance.percent
##  [1]  24.01  44.50  55.81  63.14  69.03  74.84  79.20  83.08  86.34  89.15
## [11]  91.84  94.14  96.12  98.06  99.52 100.00 100.00
plot(summary(Data.PCA)$importance[3,],ylab="Cumulative variance")

qplot(c(1:17),eig.val_plot2) + 
  geom_line() + 
  xlab("Principal Component") + 
  ylab("Eigenvalue") +
  ggtitle("Scree Plot") +
  ylim(0, 5)+xlim(1,17) + geom_hline(aes(yintercept = 1), colour="red")

eig.val_plot2
##  [1] 4.08184865134454000212826940697 3.48304354844858021778009060654
##  [3] 1.92198698897711861555137602409 1.24771762413537623537251874950
##  [5] 1.00080459421469813996452558058 0.98807962439654106745479111851
##  [7] 0.73997232161528225802271663269 0.65953918239787645561023055052
##  [9] 0.55499390636153178579803579851 0.47783394546824053961131539836
## [11] 0.45716876416437218777488737942 0.39141839750203621939306231070
## [13] 0.33612548659948815465980942463 0.32887482358300179630106185868
## [15] 0.24944853716893922168651442917 0.08114360362077405186553846761
## [17] 0.00000000000000000000000001085

Based on analysis we should choose 5 components which explains around 70% of overall variance. Now we can see the reduced dimensions on correlation circle. The darker values the more important variable. Let us compare first dimension with all the others.

fviz_pca_var(Data.PCA, col.var="contrib")+
  scale_color_gradient2(low="#99FF33", mid="#CC0066", 
                        high="black", midpoint=11)

fviz_pca_var(Data.PCA, col.var="contrib", repel = TRUE, axes = c(1, 2)) +
  labs(title="Variables loadings for PC1 and PC2", x="PC1", y="PC2")+
  scale_color_gradient2(low="#99FF33", mid="#CC0066", 
                        high="black", midpoint=11)

fviz_pca_var(Data.PCA, col.var="contrib", repel = TRUE, axes = c(1, 3)) +
  labs(title="Variables loadings for PC1 and PC3", x="PC1", y="PC3")+
  scale_color_gradient2(low="#99FF33", mid="#CC0066", 
                        high="black", midpoint=11)
## Warning: ggrepel: 6 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

fviz_pca_var(Data.PCA, col.var="contrib", repel = TRUE, axes = c(1, 4)) +
  labs(title="Variables loadings for PC1 and PC4", x="PC1", y="PC4")+
  scale_color_gradient2(low="#99FF33", mid="#CC0066", 
                        high="black", midpoint=11)

fviz_pca_var(Data.PCA, col.var="contrib", repel = TRUE, axes = c(1, 5)) +
  labs(title="Variables loadings for PC1 and PC5", x="PC1", y="PC5")+
  scale_color_gradient2(low="#99FF33", mid="#CC0066", 
                        high="black", midpoint=11)
## Warning: ggrepel: 10 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

fviz_pca_ind(Data.PCA, col.ind="cos2", geom = "point", gradient.cols = c("#99FF33", "#CC0066", "black" ))

PC1 <- fviz_contrib(Data.PCA, choice = "var", axes = 1,fill = "#990066",color = "#990066")
PC2 <- fviz_contrib(Data.PCA, choice = "var", axes = 2,fill = "#990066",color = "#990066")
PC3 <- fviz_contrib(Data.PCA, choice = "var", axes = 3,fill = "#990066",color = "#990066")
PC4 <- fviz_contrib(Data.PCA, choice = "var", axes = 4,fill = "#990066",color = "#990066")
PC5 <- fviz_contrib(Data.PCA, choice = "var", axes = 5,fill = "#990066",color = "#990066")

PC1

PC2

PC3

PC4

PC5

distance.m<-dist(t(data.standarized))
hc<-hclust(distance.m, method="complete") 
plot(hc, hang=-1)
rect.hclust(hc, k = 3, border="red")

sub_grp<-cutree(hc, k=3) 
fviz_cluster(list(data = distance.m, cluster = sub_grp), palette=c("#339900", "#CC0066", "black" ))

Association rules

Creating Document term Matrix and creating basket data

It took a lot of time to convert document term matrix into proper data structure (transaction data). Basically this code is going over each tweet and each word to see if that word was used in the tweet. If so it appends words after commas. It had to go through 1132 words x 45 851 tweets = 51 903 332 cells to check. Then such prepared data was used to perform association rules with words from tweets.

#words_df <- as.data.frame(matrix)

#tweet_words <-c()
#words<-data.frame(tweet_words=c(1:length(words_df)))
#i=1
#n=1

#for (i in 1:length(words_df)){
#  tweet_words<-c()
#  for (n in 1:nrow(words_df)){
#    if(words_df[n,i]==0) next
#      x<-row.names(words_df)[n]
#    tweet_words<-append(tweet_words,x)
#  }
#  print(i)
#  words$tweet_words[i]<-paste(tweet_words, collapse = ', ')
#}
size(trans)
##     [1]  7  3  2  9 12  4  5  3  4 12  8  4  3  7  6  4  7  6  5  3  6  6  3  3
##    [25]  5 10  2  3  7  2  7  7  4  2  4  8  2  5 10  6  9  8  3  3  3  8  2  5
##    [49]  5  3  3  1  2  7  7  7  9  8  4  6  2  8  5  6  6  7  7  6  2  8  7  5
##    [73] 10  7  5  4  0  0  5  2  0  7  3  4  6  5  9  3  6  4  7  2  5  6  7  6
##    [97]  2  7  5  5  4  6  8  5  7  5  4  5  2  6  5  9  5  5  8  7  2  6  6  4
##   [121]  4  3  7  7  1  8  5  8  7  6  1  6  5  7  2  5  9  7  9  6  1  5  7  5
##   [145]  5  5  4  7  7  8  6  5  3  6  9  4  5  3  7  6  9  4  3  4  8  6  4  5
##   [169]  6 11  9  8  6  4  3  6  7  4  7  3  7  6  6  3  8  2  8  3  3  4  5  4
##   [193]  6  5  6  8  5  8  6  6  4  5  4  7  7  6  3  6  0  8  3  2  3  7  8  7
##   [217]  8  5  5  7  6  5  3  3  4 11  8  6  1  6  7  3  4  5  5  8  5  1  6  3
##   [241]  4  7  6  7  8  4 11  3  2  4  7  2  3  7  6  3  6  8  2  1  6  8  5  4
##   [265]  5  3  2  7  2  4  6  6  4  5  6  5  6  9  5  3  6  5  7  3  6  8 11  8
##   [289]  4  5  2 11  3  9  5  4  4  5  4  9  8  5  2  7  6  4  8  5  2  5  9  4
##   [313]  4  4  6  8  8  8  6  5  7  5  6  6 10  7  3  6  2  6  7  4  8  5  7  5
##   [337]  6  3  3  7  3  6  6  4  2  3  8  5  7  6  6  4  5  2  8  6  2  6  6  7
##   [361]  7  3  3  3  9  7  7  6  5  5  5  0  8  8  5  4  7  5  6  5  3  6  5  3
##   [385]  4  7  3  6  7  5  1  8  5 10  6  5  1  4  7  8  2 10  4  6  8  7  7  3
##   [409]  8  8  1  4  5  5  8  5  8  4  8 10  9  5  6  3  5  4  6  3  5  9  9  6
##   [433] 10  4  5  7  5  8  3  6  5  4  2  8  8  8  5  5  6  5  7 10  3  4  4  6
##   [457]  5  3  6  7  8  4  8  5  7  5  5  4  7 10  6  1  6  6  7  8  6  1  8  6
##   [481]  8  3  6  5  6  7  8  7  7  6  4  6  8  3  8  8  8  7  6  3  8  4  7  5
##   [505]  3  7  9  5  4  1  9  4  4  6  8  5  7  3  3  2  7 10 11 11 11 10 10 11
##   [529] 11 11  3  8 10 11 12 11  8 10 11 10 10 11 11 10 11  8 10 11 11 11 11  8
##   [553]  3  5  7  8  1  9  5  7  4  4  1  6 10 11  9  6  4  3  6  7  6  4  3  3
##   [577]  7  6  7  6  7  7  7  8  4  7  7  8  7 10  6  5  8  7  8  8  9  4  7 10
##   [601]  4  6  9  5  5  5  7  4  6  9  8  7  9  6  6  4  6  4  4  3  4  4  6  8
##   [625]  6  2  8  6  5  6  6  9  7  4  6  5  9  6  6  4  3  3  5  4  5  6  8 10
##   [649]  2  3  6  7  7  6  6  7  0  9  5  4  4  5  8  8  7  5  5  5  4  3  4  6
##   [673]  7  2  9  8 12  5  1 10  3  4  7  5  4  3  5 11  6  5  8  8  5  5  5  8
##   [697]  4 13  5  9  5  4  5  1  8  6  2  4  5  6  7  7  2  9  4 10  5  3  3  9
##   [721]  5  5  3  7  8  4  6  7  7  4  5  8  3  7  9  8  6  2  6  3  3  9  4  4
##   [745]  7  4  5  2  3  8  0  7  8  5 10  5  4  7  4  4  5  6  7  4  9  6  7  6
##   [769]  5  5  4  7  9  8  5  5  5  2  1  3  7  7  6  9  2  3  8  6  9  5  8  5
##   [793]  2  3  7  4  2 11  6  8  5  6  7  9  3  5  7  6  4  2  5  2  3  8  3  4
##   [817]  2  7  3  3  3  6  5  5  1  6  4  4  3  6  3  6  5  8  9  9 11  6  4  7
##   [841]  8  4  4  9  7  7  4  4  8  6  7  4  4  3  4  8  3  8  3  3  6  4  3  4
##   [865]  8  4  4  5  4  5  7  3 10  7  5  3  5  1 10  3  8  6  6  9  2  4  6  5
##   [889]  8  4  6  5  5  7  5  8  2  9  7  4  3  4  5  8  4 10  2  2  5  7  4  2
##   [913]  5  7  6  1  4  3  4  9  2  4 11  6  5  6  4  6  2  3  7  7  8  5  4  7
##   [937]  7  8  5  6  4  5  2  4  4  4  4  2  5  4  0  2  5  5  3 11 10 10 10 11
##   [961] 10  3  8  5  4  6  7  5  5 11  6  5  4  6  5 10 11 11  7  5  5  3  8  8
##   [985]  4  7  5 12  5  7  3  3  3  3  6  4  4  8  3  8  8  3  4  4  7  3  6  5
##  [1009] 10  6  4  5  4  5  6  0  5  2  8  7  5  5  2  3  2  4  4  8  7  8  5  3
##  [1033]  3  7  4  7  7  9  3  7  6  7  3  5  6  7  3  5  5  3  4  5  5  4  4  5
##  [1057]  8  6  6  8  4  7  2  3  9  3  7  3  5  0  7  0  7  0  5  6  8  2 10  6
##  [1081]  8  5  8  4  8  2  3  4  5  6  3  7  5  8  8  7  3  5 11 10  4  4  6  2
##  [1105]  3  7  4  9  6  7  9  1  2  3  5  6  2  9 13  4  8  4  5  3  9  8  4  9
##  [1129]  6  6  4 10  5  9  8  2  3  8  5  2  4  6  7  3  2  7  4  7 11  7  8  9
##  [1153]  8  5  7 10  9  7  7  9  5  6  6  1  5 10  4  7  9  7  7  8  8 10  5  5
##  [1177]  5  2  7  4  6  5  3  4  6  6  6  8  9  6  3  5  7  6  7 10  6 10  2  9
##  [1201]  7  5  8  4  4  4  7  5  2  9  4  2  3  2  8  6  5  3 13  2  4  2  6  4
##  [1225]  7  7 11  7  7  7  3  7  4  5  5  3  3  7  4  6  4  4  4  6  2  4  4  4
##  [1249]  3  6  7  6  4  6 10  4  6  4  4  5  3  4  4  6  6  6  5  2  2  6  4  4
##  [1273]  4  3  7  5  4  4  4  4 10  3  7  6  6  4  3  4  7  8  8  6  6  3  1  6
##  [1297]  9  4  3  6  9  6  3  8  5  2  5  9  4  5  7  3  3  5  3  7  4  3  8  8
##  [1321]  1 10  5  6  9  3  8  6  8  6  7  5  5  7  7  9  6  4  4  2  1  9  4  8
##  [1345]  4  6  5  8  3  7  6  3  4  6  6  6  7  4  7  6  3  8  4 13  9  3  7  8
##  [1369]  9  8  6  8  3  5  7  7  6  1  7  6  7  7  6  3  5  9  5  3  2  5  7  5
##  [1393]  5  2  5  8  5  3  4  7  2  6  4  5  3  3  7  5  9  6  5  5  5  6  6  5
##  [1417]  7  4 10  5  5  7  6  6 12 11  7  3  3  5  3  7  7  6  9  8  6  2  8  7
##  [1441]  9  5  8  6  1  4  5  3  5 11  9  2 10  7  6  6  6  7  9  6  6  6  9  4
##  [1465] 10  9  2  4  4  5  4  3  5  4  1  4  2  5  2  2  6  6  4  5 10  4  4  6
##  [1489]  3  8  7  3  5  6  6  8  6  5  7  3  3  8  5  7  7  9  9  7  7  5  9  6
##  [1513]  2  7  3  6  1  6  6  3  6  6  7  4  3  2  8  6  4  5  5  5  2 11  4  8
##  [1537]  8  6  8  6  5  7  4  8  5  5  8  2  2  7  7  8  4  5  2  4  2  3  6  6
##  [1561]  4  6  4  3  2  2  6 11  7  7  8  6  6  7  6  6  4  7  7  3  7  4  3  9
##  [1585]  7  3  9  5  6  4  5  2  7  8  9  8  5  5  2  3  3  6  5  5  6  5  8  8
##  [1609]  6 10  6  7  9  3  5  5  6  5  5  9 13  5  2  9  8  5  2  4  4  6  6  6
##  [1633]  6  3  2  5  2  8  5  1  7  2  5  5  5  6  7  5  9  4  3  4  5  5 12  6
##  [1657]  6  8  5  3  9  8  6  7  4  7 11  7  7  0 10 10  4  6  4 10  4  5  5  9
##  [1681]  6  6  9  9  7  7  6  6  4  6  6  8  5  4  6  5  5  8  5  7  4  8  6  7
##  [1705]  4  7  2  2  7  5  6  4  3  7  6 10  6  5  5  3  2  7  4  4  3 10 10  6
##  [1729]  2 12  8  3  8  7  6  8  5  3  8  6  7  5  4  0  2  6  7  9  7 10 10  7
##  [1753]  0  6  7  3  7  5  6  7  7  7  6  2  9  8  3  6  7  3  8  4  5  6  6  9
##  [1777]  4  7  5  5  2  4  9  3  6  4  6  7 10  5  6  6  4  6  3  4  3  6  7  3
##  [1801]  3  2  5  4 13  6  8  1  8  3  7  5  5  5  3  8  7  5  3  4  9  3  4  3
##  [1825]  4  2  3  9  5  2  5  4 10 11  2 11 11  5  9 10 11 11  5 12 10 11 11 10
##  [1849] 10 11 11 11  3  2  4 11 11  8  2  3  6  1  3  4  7 11  6  0  8 10 11  5
##  [1873]  8  1  5  8  4  6  3  4 11 11  6 11 10  2  8  3  2 12  5  9  7  8  7  2
##  [1897]  6  3  4  5 10  6  8  4  8  7  2  2  6  5  6  2  8  8  4  5  3  5  8  9
##  [1921]  5  6  6  7  5  4  3  7  2  7  3  6  4 11  5  3  4  7  5  5  6  6  4  5
##  [1945]  3  4  7  7  9  4  9  9  8  4  4  6  5  9 10  6  8  3  2  7  6  1  2  4
##  [1969]  6  5  6  6  2  4  2  7 10 12  4  6  7  4  2  3  2  7  8  5  3  5  6  5
##  [1993]  9  3  3  3  3  3  3  3  7  8 10  4  8  6  2  5  7  8  7  6  3  9  4  3
##  [2017]  1  5  4  6  5  6  8  8 11  8  3  4  4  5  4  2  6  4 11  6  6  6  6  4
##  [2041]  6  4 10 10  4  9 10  8  6  9  7  4  8  4  3  7  6  6  8  5  8  5  9  5
##  [2065]  8  3  7  5  3  6  3  5  6  3  7  3  5  5  3  5  7  6  5 11  1  1  7  4
##  [2089]  5  3  5 13  6  7 11  7  5  6 10  8  8  6  3  3 11  8  4  9  3  4  8  9
##  [2113]  2  2  3  5  7  6  5  1  6  4  7  6  6  7  4  5  7  3  7  2  4  6  4  8
##  [2137]  5  4  7  5  4  2  7  6  4  9  2  6  3  4  7  6  9  4  4  5  3  5  9  6
##  [2161]  7  5  5  8  5  5  9  7  1  8  8  6  4  6  7  4  7 10  7  2  2  4  8  4
##  [2185]  6  6  5  3  4  7  2  9  2  1  3  5  5  4  8  2  5  8  2  3  3  6  7  5
##  [2209]  4  4  5  7  7  4  5  7  4  3  7  4  7  2  8  7  7  7 10  3  7  8  4  6
##  [2233]  6  6  3  6  7  8  6  4  3 11  4  4  3  3  4  5  2  7  7 12 11  9 11 11
##  [2257] 11 10 12 10 10 11 11  9  3  9  2 10 11  8 11 11 11  5  4  9  2  4  6  6
##  [2281]  7  6 10  8  6 11  3  3 10  8 11 10  5  5  7  1  5  7  4 10 10  3  3  3
##  [2305]  5  6  5  4  6  7  3  7  5 10  4  5  5  4  8  5  9 10  2  7  8  3  6  4
##  [2329]  3  3  3  3  3  8  9  4  5  7  8  7  4  3  9  6  6  5  5  8  7 10  7  1
##  [2353]  5  8  1  4  4  5  4  3  9  3  6 13  4  8  7  6  6  3  4  4  3  4  4  7
##  [2377]  8  5  4  5  4  6  5  4  7  8  6  4  6  4  9  8  4  5  7  6  7  4  5  9
##  [2401]  5  9  5  7  8  5  4  7  8  6  6  4  2  8  9  4  9  8  5  7  8  5  4  6
##  [2425]  7  8  6  9  3  3  5 11  2  8  3  9 13  4  5  9  8  5  7  8  3  8  9  4
##  [2449] 10  6  7  6  5  6  5  7  1  4  6  5  8  6  6  5  5  5  4  6  2  2  6  5
##  [2473]  4  8  4  7  2  5  5  3  5  2  8  5  6  9  7  4  9  5  8 10  4  7  5  5
##  [2497] 11  4  4  4  3  6  4  3  2 10  3  6  6  6  4  6  9  8  8  8  8  4  3  4
##  [2521]  9  9  3  2  2  2  4  8  4  4 10  4  8 10  2  6  4  6  9  9  6  7  7  5
##  [2545]  5  7  4  6  6  9  7  5  3  6  8  4  8  8  5 10  6  5  5  2  9  2  8  7
##  [2569]  2  9  3  7  7  5  7  4  1  4  5  6  4  7  6 10  7  8  3  5  8  8  4  3
##  [2593]  8  4  6  3  7  5 10  5  8  5  4  4  3 10  9  5  4  5  6  1  3  9  6  2
##  [2617]  5  6  7  4  7  3  8  5  5  8  3  4  5  6  7  6  6  5  9  5  9  8  5  9
##  [2641]  3 10  3 11  3  6  7  4  4  9  4  3  4  3  5  4  5  7  8  8 10  7  4  3
##  [2665]  6  4  5  6  7  6  8  7  4  4  9  5  7  8  6  5  3  2  5  3  3  3  2  6
##  [2689]  9  8  9  7 10  3  4  6 11  3  2  6  7  6  4  1 11  4  8  1  6  9  1  3
##  [2713]  7  3  3  4  6  6  3  5  3  7  4 10  4  7  7  6  5  5  6  7  3  8  3  4
##  [2737]  4  4  7  4  7  7  4  7  7  7  4  6  5  6  4  3  5  5  6  5 11 10 11  2
##  [2761]  9  7  5  6 10  2  7  3  3 10  3  4  3  8  5  4  4  4  7  6  9  2  8  3
##  [2785]  2  8  4  6 10  5  4  6  7  8  8  8  5  8  7  5  2  5  3 10  6  8  4  6
##  [2809]  5  5  1  4  8  7  3  3  1  7  3  5  6  3  3  7  4  3  2  4  7  6  3  2
##  [2833]  6  6 12  7  3  2  2  6  7  7  4  4  6  4  6  4  4  7  5  8  1  4  3  7
##  [2857]  7  7  4  7  5  7 12  9  4  3  5  3  2  5  4 10  5  7  3  9 10  4  5  2
##  [2881]  9  7  7  8  7  5  6  7  5  2  2  3  8  4  4  3  8  4  2  3  7  7  7  4
##  [2905]  5  3  5  6  4  4  2  3  8  4  5  3  7  5  1  7  6  4  6  7  8  7 13  2
##  [2929]  5  3  5  1  6  6  1  6  7  7  3  8  9  4  4  3  5  3  7  6  6  8 11 11
##  [2953] 11 11 10 11 11 10 11 10  9 11 11  9 11  9 10 10 11 11 11 11 11 11 10 10
##  [2977] 10 12  6 11 11 11  9 10 11  9 10 11  9 11 11  8 11 10 11 10 10  9 11  3
##  [3001] 10  8 11 11 10 11  5 10 11  5 10 11  5 11  8 11  7 10 11 10 10 10 11 11
##  [3025] 11 11 11  2  3 10  8 11 10 10 10  4 11 10 10 11  8  0 11  5  3  5  5 10
##  [3049]  7  6 11  5  8  3  7 11  6  3  7  2  7  6  6  7  6  8  5  4  6  5  9  5
##  [3073]  6  5  9  4  9  3  5  2  6  2  7  8  7  8  6  7  2  9  3  5  5  5  2  7
##  [3097]  5  6  5  5  5 10  5  8  1  9  2  8  8  8  5  8  7  2  5  4  8  8  4  4
##  [3121]  7  4  7  8  4  3  5 11  5  3  7  6  5  7  7  5  6  3  5  7  5  8  8  7
##  [3145]  4  5  5  4  4  7  5  7  5  2  6  5  5  6  8  8  7  6  7  4  8  4  2  7
##  [3169]  6  4  6  2  8  4  8  6  8  3  5  8  5 10  3  7  6  6  3 11  3  9  8  7
##  [3193]  7  8  8  9  4  3  5  4  5  6  8  3  6  7  6  8  5  6  6  3  7  6  5  4
##  [3217]  5  6  6  8  5  6  3  4  4  9  8  8  8 10  5  5  8  9  7  5  6  8  3  4
##  [3241]  5  5  5  5  5  5  7  7 10  9  8  2  2  5  6  8  5  7  5  5  6  4 10  4
##  [3265]  6  4  5  5  5  8  6 10 11  6  6  4  7  2 10  4  5  5  8  3  9  5  6  3
##  [3289]  2  5  3  4  8  4  5  6  2  6  4  6  5 10  4  4  8  8  4  4  3  6  1  6
##  [3313]  7  9  3  2  3  6  8  4  7  2  7  6  4  5  5  6  7  4  4  6  7  5  4  8
##  [3337]  6  7 10  3  6  2  6  4  3  4 10  2  6  5  9  5  8  3  5  6  5  7  4  6
##  [3361] 11  5  8  4  7  4  5 10  4  6  3  4  8  8  9  6  8  7  3  5  4  7  3  5
##  [3385]  2  4  6  6  8  5  6  5  5  9  1  5  5  3  4  6  9  2  3  3  6  4  5  4
##  [3409]  7 10  6  4  5  6  8  9  6  8  6  6  4  4  2  4  3  6  5  1  4  4  4  6
##  [3433]  2  6  8  3  4  4  6  5  2  7  6  4  4  5  5  6  2  4  3  9  8  9  4  2
##  [3457]  2  6  5  2  4 11  6  8 11  2  3 11  8  8 11 11 10  5 10  6  5  5  4  3
##  [3481]  5  3  8 11  8  5  7  6  9  6  6  6  7  2  6  6  4  4  2  4  3  6  9 11
##  [3505] 10 11  9  7  7 11  4  2 11  8  4  5 11  8  9  2  9  9  9  5  5  6  9  7
##  [3529] 11  4  6  6  9  4  4  5  2  7  2  4  5  5  7  8  7  4  6  3  7  5  3  6
##  [3553]  8  7  4  3  8  4 11  5  5  5  4  8  4  4 10 10  7  3 10  5  7  6  6  7
##  [3577]  8  4  5  2  9  1  0  7  8  5  4  9  1  9  3  5  8  9  4  7  4  3 11  5
##  [3601]  2  7  7  3  5  8  6  8  5  4  7  4  6  9  8 11  3  4  6  7  5  3  4  5
##  [3625]  4  5 10  4  5  8  5  5  4  9  8  7  7  7  3  5  3  5  8  5  7  6  8  4
##  [3649]  7  9  5  6  3  6  5  2  9  2  5  2  5  9 11  8  4  4  3  8 13  6  5  4
##  [3673]  7  8  4  2  8  3  5  7  6  5  6  7  3  4  6 10  9 11  7  7  4  7  3  7
##  [3697]  6  6  8  3  9  9  5  3 12  7  7  9  5  3  3  4  6  9  8  6  7  6  3  8
##  [3721]  8  6  4 10  4  2  6  7  8  4  4  6  7  7  4  7  5  4  4  7  7  7  3  4
##  [3745]  5  7  7  5  7  7  8  7  4  4 11 10  5  7  3  6  9  7 11  6  8  5  4  7
##  [3769] 11  3  4  8  5  7  6  8  5  3  7  5  4  4  7  8  5  2  7  4 12  8  5  9
##  [3793]  3  5  7  5  3  4  4  7  6  9  6  3  4  4  0  4  3  6  7  7  3  2  3  4
##  [3817]  6  6  7  6  6  3  6  5  7  6  9  7  9  2  6  2  4  6  8  6  6  4  7  6
##  [3841]  1  8  5  8  5  5  6  2  5  9  6  7  7  4  3  8  2  3  6  7  9  7  5  3
##  [3865] 10 11 10  8 10 11  4 11  4  5  2  7  4  4 11  3  6  5  6  7  9  6  6  5
##  [3889]  4  5  5  1  5  3  1  9  4  6  5  4  7  4  5  7 10  8  4  9  6  9  7  5
##  [3913]  4  4  2  6  8  3  3  4  4 10  6  6  1 10  3  3  0  6  1  2  6  3 10  5
##  [3937]  5  8  1  6  7  8  7  3  8  6  9  7  3  7  2  6  7  1  5  7  4  5  5  3
##  [3961]  3  4  6  3  6  8  5  8  7  8  6  9  9  4  8  5  5  9  9  3  5  7  5  6
##  [3985]  9  6  6 11  8  4  3  5  8  5  6 10  9 10 11  9  9  6  1  7  6  1  5  4
##  [4009]  2  5  4  4  1  8  8  4  6  7  7  6  8  2  4  8  5  2  6  2  4  7  6  7
##  [4033]  7  5  3  3  6  5  6  4  3  2  4  5  8  7  3  8  2  4  2  7  9  2  7  8
##  [4057]  4  8  7  5  7  9  6  4  4  6  4  7  1  4  8  6  4  6 11  9  5  3  3  5
##  [4081]  4  2  2  2  8  7  3  9  9  2  4  6  4  9 12  9  9  3  6  2  9  6  8  1
##  [4105]  6  4  7  3  8  3  6  5  9  6  7  4  4  5  8  8  3  2  2  5  8 10  3  2
##  [4129]  7  9  1  4  4  7  4  4  4  4  5  8  8  6  4  6  6  6  6  4  7  7  5  2
##  [4153]  3  3  3  6  6  6  7  5  8  7  5  6  3  1  3 13  5  6  4  6  7 10  7  7
##  [4177]  6  5  7  9  8  7  7  6  2  3  4  5  9  5 11  2  4  6  5  5  1  4  7  8
##  [4201]  2  8  3  9  2  3  5  5  7  4  4  3  7  6  7  6  6  5  3  4  4  5  4  4
##  [4225]  5  7  8  6  4  5  6  7  5  1  6  6  9  3  4 11  5 10  7 11  7 10 11  8
##  [4249]  7  8  6 10  4  5  6  8  8  7 11  5 10  9  5  4  3  7  2  6  4  5  3  8
##  [4273]  8  3  6 10  3  3 10  5 11  5  7  6  5  5  5  8  2  3  4  8  5  8 11  2
##  [4297]  9  2  2  2 11  7  3  9  5  7  7  2  5  5  5  4  4  7  8  4  5  5  8  5
##  [4321]  6  5  8  3 10  6  7  4  6  4  7  9  6  7  8  6  6  2  1  4  8  4  8  5
##  [4345]  6  6  7  4  6  4  7  7  8  6  3  2  9  2 10  4  8  7  3  6  9  6  6  7
##  [4369]  4  5  8  3  5  6  6  2  3  9 11  4  4  3  3  2  6  4  6  5  5  6  3  8
##  [4393]  7  5  7 11  6  6  3  6  6  6  6  3  6  6  2  5  2  5  5  6  8 11  6  3
##  [4417]  6  6  3 10  4  2 10  6  4  5  6  8  6  2  2  2  7  6  2  2  5  5  4  7
##  [4441]  5  7  6  4  8  4 10  9  4  6  6  6  4 10  6  8  7  4  7  6  2  3  6  8
##  [4465]  5  5  2 10  4  4  3  9  7  1  6  9  5  3  4  7  5  3  7  6  3  5  3  6
##  [4489]  6  6  7  4  9  5  7  6 12  3  8  4  7  2  8  2  3  7  3  8  4  5  4  9
##  [4513]  7  3  4  5  4  7  5  7  6  5  6  4  5  7  6  5  4  7  5  3  5  3  3  8
##  [4537]  3  5  3  5  4 10  8  8  5  7  7  6  5  5  5  5  7  8 10  8  8  3  9  4
##  [4561]  6  3  6  6  4  5  6  2  5  6  7  7  9  2  7  6  6  8  5  7  3  3  7  6
##  [4585]  5  5  4 11  8  8  6  5  6  6  3  5  4  4  6  4  8  2  2  8  7  7  6  6
##  [4609]  7  3  3  8  6  8  3  8  4  7  4  4  4  3  6  7 12  5  7  6  6  2  4  6
##  [4633]  7  5  8  4  4  8  3  3  8  2  4  7  7  4  6  9 10  4  5  5  5 10  9  7
##  [4657]  6  5  1  5  3 10  4  5  5  9  4  5  3 10 11  4  2  2  5  8  3  5  9  6
##  [4681] 11  5  4  3  8  3  7  7  5  6  5  4  6  8  4  4  7  9  5  6  5  5  5  5
##  [4705]  6  4  5  5  8  4  8  4  5  2  4  3  8  2  3  8  5  3  6  9  6  5  3  1
##  [4729]  7  5  7  4  1  7  1  8  3 10  7  8  9  3  7  8 11  8  4  7  4  7  7  5
##  [4753]  7  9  5  6 11  4  4  5  8  7  4  7  7  3  7  1  7  4  6  4  4  7  4  9
##  [4777]  2  3  5  9  5  3  3  9  4  5  9  8 10  6  6  7 10  8  9  7  7  6  4  6
##  [4801]  5  2  6  4  4  9  5  6  6  3  4  2  6  6  5  5  8  7  2  6  8  5  1  5
##  [4825]  6  5  9  8  8 12  5  5  7  4  1  3  4  4  4  5  7  5  4  5 11  5  5  3
##  [4849]  5  5  6  4  4 10  3  5  4  6  5  4  7  4  4  6  5  4  6  4  6  4  3  3
##  [4873]  4  3  4  4  4  5  1  7  6  4  7  2  8  4 11  6  8  7  6  3  6  3  6  5
##  [4897]  3  1  7  3  2  6  6  4  4  6  2  6  5  8  5 10  9  5  5  6  9  9  4  9
##  [4921]  6  1  4  5  3  4 11  5 10  6  2 10  4  9  4  9  4  3  7  8  5 10  6  2
##  [4945]  5  7  2  6  9  3  5  4  6  5  7  8  2  2  5  7  9  2  7  3  9  3  5  6
##  [4969]  5  4  5  5  4  8  6  4  5  2  5  8  3  5  8  4  6  0  2  3  2  3  4  5
##  [4993]  4  4 11  8  7  6  8  8  8  4  8  8  8  8  8  3  4  4  7  2  5  9  9  4
##  [5017]  5  9  6  8  6  7  4  3  3  4  1  7  7  8  3  5  6  3  6  3  6  2  7  5
##  [5041]  2  6  4  5  4  5  8  8  8  8  7  6  4  4  3  3  3  3  3  3  6  3  5  4
##  [5065]  5  7  6  9  8  2  8  4  7  1  6 11  2  4  4  4  4  4  5  4  5  8  4  8
##  [5089]  6  5  5  9  5  5  2  7  4  6  8  3  4  6  6 10  4  6  5  6 12  5  7  7
##  [5113]  8  6  2  8  8  2  5  7  4  1 11  9  8  6  6  2  4  5  6  8  8  2  4  3
##  [5137]  7  7  7  8  7 10  6  3  6  7  6  2  5  3  7  2  6  3  6  9  3  7  5  6
##  [5161]  8  8  8  3  6  3  4  4  6  2  7  4  6  1  7  6  4  1  9  1  5  6  7  6
##  [5185]  2  4 10  7  3  4  5  4  4  5  6  5  4  5  4  8  7  6  6  4  2  5  3  3
##  [5209]  6  8  4  7  1  5  6  5  6  4  6  2  4  6  4 11  7  7  6  4  4  4  5  9
##  [5233]  3  8  5  7 11  4  9  8  3  4  8  3  8  5  6  1  7  5  3  3  7  5  7  6
##  [5257]  5  5  9  6  9  5  7  3  4  5  6  4  5  5 10  5  8  2  9  6 10  8  4  4
##  [5281]  5  9  4  5  3  5  5  4  8  1  7  6  2  9  4  6  2  4  4  6  3  3  3  6
##  [5305]  3  7  5 11  2  5  4  6  1  7  4  8 11  3  3  7  3  5  3  4  8  8  8  7
##  [5329]  5  5  3  6  8  3  7  7  5  8  1  8  5  3  5  4  2  7  5  6  9  2  5  4
##  [5353]  7  4  3  8  8  6  8  6  5  7  4  5  4  2  2  7  7  9  7  6  2  2  6  4
##  [5377]  7  3  4  1  6  7  8  8  2  9  9  6  5  6  3  5 10  3  4  4  7  3  5 13
##  [5401]  8  4  7  6  2  7  6  8  4  5  5  7  5  7  5  5  9  4 11  3 11 10  5  4
##  [5425] 10  8  8  5  3  4  8  4  5  5  8  4  4  4  5  6  2  5  4  6  3  2  3  4
##  [5449]  5  4  5  5  5  5  5  4  7  9 11  4  7  6  9 10  7 10  9  7  4  6  5  3
##  [5473]  4  4  4  8  4  5  5  3  4  6  8  7  3  3  7  4  5  4  4 11  3  3  3  5
##  [5497] 13  4  3  6  4  8  3  4  3  6  5  4  4  7  4  5  4  8  6  5  8  4  3  4
##  [5521]  8  4  5  3  5  4  7  7  4  7  3  8  7  6  7  2  3  5  6  2 10  4  7  3
##  [5545]  7  6  6 10  3  7  7  3  5  6  6  6  5  3  9  5  9  5  5  5  4  1  7  4
##  [5569]  3  5  5  1  5  6  8  3  6  5  5  8  6  3  6  5  5  8  8  2  8  6  4  4
##  [5593]  5  5  6  5  8  6  6  7  3  9  7  3  7  8  3  8  7  8  7  5  4  5 10  9
##  [5617]  6 10 10  2  5  3  3  3  2  4  7  4  4  1  4  3  6  1  5  3  2  3  3  8
##  [5641]  6  6  9  5 11  3  3  5  4  3  6  3  5 10  3  7  4  4  4  3  4  7  2  9
##  [5665]  9  5  7  6  7  2  3  4  2  6  5  3  7  8  9  7  6  6  6  6  5  9  4  5
##  [5689]  7  3  7  2  8  6  6  5  4  5  4  4  3 11  6  7  3  6  7  4 10  2  9  6
##  [5713]  9  5  6  3  5  1  4  3  9  5  7  5  7  5  4  5  4 10 11 10  9 11  8  4
##  [5737]  4  5  2 11  7  5 12  4  6 12  3  6  6  6  3  5  3  4  5  8  5  1  4  8
##  [5761]  7  7  3  6  3  6  5  7  7  4  8  9 10  5  4  3  6  5  4  7  5  4  6  6
##  [5785]  7  6  5  1  5  7  5  6  5  7  3  6  2  3  3 11  9  2  2  4  5  2  6  6
##  [5809]  4  7  9  4  9  4  3  9  3  4  7  8  9 10  4  1  8  5  3  7  7  6  3  6
##  [5833]  5  8  5  8  4  2  6  3  7  3  5  5  7  7  4  5  6  4  6  8  8  4  5 10
##  [5857]  3  7  5  9  5  7  7  3  6  8  6  5  6  2  6  9  4  8  5  7  8  2  9  8
##  [5881]  6  9  4  1  9  4  7  5  4  2  5  8  4  5 12  7  5  3  1  3  8  4  4  4
##  [5905]  6  8  6  6  5  9  3  7  5  5  5  8  6  7  4  4 12  2  3  4  2  5  6  5
##  [5929]  4  5  4  2  5  3  9  8  2  4  7  4  8  3  9  7  4  5  6  7  7  6  3  6
##  [5953]  2  8  6  6  5  5  5  4  7  9  6  3  4  4 10 10  7  5  7  3  5  5  2  6
##  [5977]  5  4  8  4  6  5  5  2 10  3  5  7  5  9  9  6  5  5  3  6  3 11 11  7
##  [6001]  3  6  6  9  7  5  8  4  2  2  1  5  2  3  3  6  7  7  8  7  5  4  5  6
##  [6025]  5  6  4  6  9 10  6  7  7  5  2  8  9  7  5  3  7  7  3  8  8  7  8  6
##  [6049]  3  3  7  1  3  5  9  8  5  6  7  7  4  5  4  9 10  5  6  5  7  9  6  4
##  [6073]  5  3  7  7  5  6  4  4  2  6  8  8 10  4  9  0  7 10  7  5  5  9  8  5
##  [6097]  8  5  5 10  7  7  7  3  6  4  1  3  9  2  7  9  5  4  4  9  5  3  2  6
##  [6121]  7  5  7  5  5  7  6  7  7  9  6  8  8  7  4  7  9  4  1  4  6  7  5  3
##  [6145]  5  4  5  3  7  7  4  6  5  7  2  3  8  3  9  9 10  7  5  8  8  6  3 11
##  [6169]  3  9  7  4  2  7  7  5  5  4  5  5  8  9  8  7  9  6  8  7 11  6  6  4
##  [6193]  7  7  4  3  3  1  6  6  7  3  5  5  5  6  3  6  2  6  3  5  5  9  6  8
##  [6217]  4  4  8  9  6  8  6  3  2  6  3  6  4  8 11  9  4  8 10  3  5  4  7  7
##  [6241]  2  6  4  7  6  7  3  4  2  6  7  7  6  4  3  4  8  6  3  3  7  2  2 13
##  [6265]  5  7  3  5  8  7  5  6  5  7  5  6  3  8  9  7  8  6  7  8  4  6  8  8
##  [6289]  9  3  7  6  6  5  6  5  4  2  7  5  8  3  2  4  2  3  6  5  6  5  7  9
##  [6313]  3 10  4  5  6  2  9  5  2 10  3  8  8  3  4 10 11  7  5  3  8  5  7  5
##  [6337]  9  4  6  3  2  4  2  5  7  8  4  4  4  4  5  9  8 10  8  6 10  4  4  1
##  [6361]  4  1  6  5  6 11 11  9  8  9 11  5 10 10 11  9 11  5 10  9  9 11 12  9
##  [6385]  9  9  9  3  5 10  9  9 10  9  9  9 10 11 11 11  9  6 10  5  7  4  5  4
##  [6409]  4  4  5 11  7  7 10  8 10 11 11 11 11 10  2 10  3 10  8  4  7 10  2  4
##  [6433]  6  6  4 11  6  6  7  6  3  8  6  8  8 10  4  8  6  9  4  5  2  4  7  5
##  [6457]  9  5  6  8  5  4  9  1  8  1  1  6  3 10  7  4 11  4  5  7  4  8  5  7
##  [6481]  3  5  8  9  2  4  7  6  9  5  5  1  9  5  4 10  5  8  5 10  6  5  6  2
##  [6505]  3  8  7  3  2  1  3  1  7  8  4  9  5  3 10  6  6  5  8  3  8  3  2  6
##  [6529] 10  7  3  7  7  5  4  7  3  5  5  5  7  8  6  7  3  2  8  4  4  6  3  2
##  [6553]  4  3  8  6  7  3  4  5  6  6  4  5  6  9  9  7  3  5  9  9  5  8  7  5
##  [6577]  5  6 10  5  6  3 11 11  6 11  2  9  6  7  3  4  9  6  6  3  9  8  8  7
##  [6601]  5  3  8  5  6  5  6  3  9  7  3  6  3  3  7  7 11  3 11  5  9  3  9  5
##  [6625]  4  5  7  6  6  8  5  6  8  6  4  7  9  6  5  8  9  7  5  6  5  2  2  5
##  [6649]  2  5  2  8  5  7  6  2  5  6  6  8  6  3  4  6  8  7  5  5  3  1  7  1
##  [6673]  6  2  7  3  8 11  6  8  4  8  4  2  1  8  7  5  4  9  5  6  3  4  4 10
##  [6697]  5 10  3  4  6  4  4  4  3  8  8  7  5  7  5  7  6  3  8 11 10  1  7  7
##  [6721]  2 10  3  4  7  6  4  8  7  6  3  5  5  7 11  3  7  2  8  5  4  6 13  2
##  [6745]  6  4  7  8  8  3  1  3  4  5 10  9  8  5 10 11  7  1  8  5  4  5  8  5
##  [6769]  8  7  7 11  7  7  4  6  3  4 10  7  8  1  4  4 10  4  7  3  3 10  8  5
##  [6793]  8  3  7 10  7  7  7  7  8  5  8  5  8  8  6  5  6  6  8  7  4  6  8  5
##  [6817]  6  6  7  5  8  3  7  1  3  5  6  8  8  8  4  7  7  7  5  4  6  7  8 12
##  [6841]  8  7  7  2  8  8  7  9  1  7  2  5  7  8  5  3  8  5  4  9  4  7  5  6
##  [6865]  5  5  8  4  2  5  5  4  3  9  6  5  4  5  8  7 12  7  4  7  6  7  7  3
##  [6889]  9  4 10  3  8  7  3  3  7  4  6  1  6  3  5  9  4  4  7  7  2  8  6  5
##  [6913]  8  5  7  5  4  5  7  7  7  6  6  6  5  7  4  7  5  9  5  8  9  7  8 10
##  [6937]  2  7  7  7 10  2  4  8  4 10 11  5  5  2  7  4  7  7  5 10  4 10  3  3
##  [6961]  7  4  3  8 10  7 10  7  7  4  8  4  5  8  4  8  7  7  8  8  5  8  6  6
##  [6985]  6 11  3  9  8  5  2  5  1  6  6  9  7  6  6  8  7  7  4  8  3  6  4  7
##  [7009]  6  5  7  6 10  6  9  2  7  5  6  6  6  7  7  9  6  3  4  7  6  7  4  7
##  [7033]  7  7  8  6  7  4  5 10  6  4  6  4  5  5  4  5  7  4  2 11  2  9  2  2
##  [7057]  3  5  3  6  4  5  5  4  6  9  5  4  4  2  3  2  5  6  2  6  5  4  1  3
##  [7081]  6  4  5  6  4  8  5  7  4  8  3  7  7  6  5  3  3  7  9 11  4  4 11 11
##  [7105] 11 11 10 10 10 11 11 11 11 11 11 12 10 10  9 11 10  9 11 10 11 11 10  5
##  [7129] 11 11 10 11  3 11 11 11 11  6 11  5  5  9  7 11  8  8  8  8  9  9  9  6
##  [7153]  8  8  4  5  9 11 11 12  4  5  8  5  6  6  5  4  4  5  5  3  5  2  9  4
##  [7177]  3  5  5  9  7  6  4  7  4  8  9  5  2  9  6  9  6  4  3  5  4  7  4  3
##  [7201]  6  6  4 10  1  4  9  6  6  8  2  8  5  4  6  4  8  7  7  4  6  4  9  3
##  [7225]  8  9  7  5  5  6  4  7 10  6  8  4  5  5  9  5  5  5  6  7  2  7  6  6
##  [7249]  4  6  4  6  6  3  2  4  5  7 12  4  7  6  8  6  6 11  9  3  6  4  6  6
##  [7273]  4  7  5  5  4  6  6  2  6  9  5  7  6  9  9  7  5  8  5  7  2  3  8  7
##  [7297]  4  6  5  1  7  8  5 11  4  7  8  1  7  9  6  6  3  7  2  8  6  6  5  6
##  [7321]  5  5  7  3  5  4  8  9  7  8  4  3  9  7  7  3  9  6  7  1  7  6  7  4
##  [7345]  0  9  8  5  6  9  3  2  7  2  7  6  5  7  3  4  4  5  3  4  6  7  7  2
##  [7369]  7  3  7  6  5  7  7  6  6  7  3  3  5  3  7  4  4  4  8  4  3  2  6  3
##  [7393]  3  7  4 10  8  2  6  9  4  6  9  3  2  5 10  3  2  6  5  5  3  4  5  6
##  [7417]  8  8  8  5  8  3  4  6  6  6 10  9  1  4  4  7  4 10  4  6  2  3  9 11
##  [7441]  5  9  6  3  4  8  4  4  6 12  5  7  4 11  7 10  7 11 11  5  4  6  7  4
##  [7465]  5  4  9  6  4  6  1  3  6  6  7  6  7  4  2  7  5  2  7  9  4  5  2  9
##  [7489]  4  1  3  3 10  4  8  5  4 10  8 10  4  8  7  9  4  4  5  7  7  6  5 10
##  [7513] 10  6  5  6  7  6  4  5 10  7  7  8  8  3  3  4 10  2  6  6  5  9 10  4
##  [7537]  3  6  6  5  7  8  3  8  8  5  6  4  4  2  7  7  6  2 11  6 10  8  8  2
##  [7561]  7  5  7  3  5  3  4  5  4  8  5  7  4  7  8  5  9  9  3 10  6  4  5  8
##  [7585]  6  4  4  3  5  9  7  4  4  5  7 11 11 11  6  6  5  6  2 11  6  6  7  9
##  [7609]  7 11  2  3  4  4  8  4  7  7  4  8  5  2  9  8  8  4 12  4  7  8  0  6
##  [7633]  5  3  7 12  3  4  2  3  5  2  7  3 12  6  3  7  7  2  3  9  8  8  3  7
##  [7657]  8  6  6  5  5  6  6  6  6  6  7  4  7  8  8 11  6  0  5  6  6  7  7  8
##  [7681]  7  8  3  3  8  5  6  5  5  4  5  8  5  6  2  7  8  7  5  5  5  8  5  9
##  [7705]  5  4 10  3  7  8  2  6  6  8  5  6 13  9  4  3  8  2  5  5  9  7 10  6
##  [7729]  4  9  3  5  6  5  8  3 11  3  1  4 10  7  4  6  4  7  8  4  5  4 13  3
##  [7753]  5  5  6  9  9 10  6  4  8  7  2  2  6  3  3  5  7  5  8  5  2  9  6  7
##  [7777]  7  6  6  2  8  6  1  7  4  9  6  6  4  9 10  8  3  4  6  9  7  7  9  4
##  [7801]  9  6  5  5  5  4  8  7  3  9  5  3  2  1  5  4  5  6 10  6  7  8  6 11
##  [7825]  4  6  4  2 11  5  6  4  5  3  8  8  8  5  4  5  8  7  4  5  9  7  5  8
##  [7849]  5  2  3  4  2  6  3  5  7  9  8  3  5  4  1  8  7  7  2  4  5  4  8  6
##  [7873]  2  6  4  3  5  4  4  4  5  7  7  6  7  2  4  4  6  8  4  3  3  4  8  5
##  [7897]  2  7  4  6  3  8  7  2  6  8  7  8  8  8  7  1 10  6  5  9  7  4  2  9
##  [7921]  3  6  7  3  7  9  1  6  2  6 10  3  5  4  6  3  1  5 10  9  9  4  7  6
##  [7945]  6 10  6  4  7  7  2  5  5  5  6  5  4  5  6  6  6  6  4  3  6  6  5  8
##  [7969]  3 11  9  4  8  5  4 11  3  2  7  8  7  7 10  3  2  9  9  7  7  6  9  9
##  [7993]  4  3  7  7  5  6  4  4  7  7  5 11  5  6  9  3 11  5  2  6  3  6  7  7
##  [8017]  5  9  9  6  4  2  8 11  8  4  9  7  3  5  5  3  3  7  7  7  2  8  4  5
##  [8041]  6  8  8  6  4  4  3  3  2  3  2  2  4  4  2  7  2  3  5  8  2  6  3  7
##  [8065]  6  8  5  6  4 10  5  6  7  6  3  6  3  6  6  6  6  9  7  7  9  4  7  2
##  [8089]  3  4  3  7  4  5  4  4  8  3  2  3  2  8  4  5  5  5  4  7  5 11  7  8
##  [8113]  4  4  7  7  8  4  7  5  5  3  6  3  8  4  7  6 10  7  5  6  3  1  8  4
##  [8137]  4 10  4  4  4  9  4  2  8  7  7  4  0  3  7  4  9  5  4  7  3  2  5  3
##  [8161]  7  9  3  6  6  2  1  3  4  4  7  5  9  3  8  3  5  9  1  3  9 10  7  8
##  [8185]  6  6  4  6  5  6  5  4  6  6  8  6  6 11  7  9  4  4  3  4  2  8  4  4
##  [8209]  4  5  5  7  6  4  4  4  5  6  7  4  5  6  4  4  3  4  3  5  4  5  2  6
##  [8233]  4  7  4  8  2  5  6  8  8  5  7  6  9  7  3  4  8  3  7  6  7 10  4  4
##  [8257] 10  2  5  3  8  7  6  7  6  6  1  3  6  4  6 11  6  8  4  4  9  7  6  6
##  [8281]  4  5  3  9  6  8  3  1  4  7  8  5  7  2  4  8 11  9  4  3  8  5  5  3
##  [8305] 10  2 10  7  4  3  4  6  3  2  7  4 10  1  9  4  5  5  6  9  9  4  4  3
##  [8329]  5  4  5  8  6  4  7  7  5  4  4 10  2  7  9  7  7  8  5  9  6 11  9  3
##  [8353]  4  3  6  7  7  4  6  2  4  6  9  2  5  5  3  5  8  3  4  1  3  7  5 10
##  [8377]  3  8  6  7  5  2  4  4  5  6  9  9  6  6  6  4  4 10  4  4  8  6  3  8
##  [8401]  7  4  6  3  3  8  3  6  4  6  4  6 10  7  5  4 10  5  5  5  3  4  6  5
##  [8425]  7  3  2  8  7  2  5  5  4  4  8  4  3  7  4 11  9  5  4  7  7  6  5  4
##  [8449]  7  1  6  2  7  6  4  7  5  9  4 11  8  6  7 11  3  6 11  6  3  2  7  4
##  [8473]  2  5  5  6  6  4  8  7  5  3  6  9  3  4  9  7  7 10  8  4  7  5  7  3
##  [8497]  7  4  5  7  7  6  2  8  9  9  6  3  6  3  4  3  5  5  8  7  4  1  4  6
##  [8521]  6  8  7  8  8 11  3 10  9  4  8  3  6  9  5  9  9  8  2  1 10  5  4  2
##  [8545]  9  4  8  6  2  9  7  5  7  5  5  5  4  4  4  3  3  5  5  1  3  4  3  6
##  [8569] 11  2  2  7  7  6  3  5  6  2  2  9  9  6  6  8  4  3 10  5 12  5  9  4
##  [8593]  7  6  5  6  8  5  5  4  3  4  8  4  6  3  4  8  2  5  4  5  9  4  9  9
##  [8617]  8  7  4  7  4  4  7  7  6  7  6  3  6  7  6  6  9  6  8  1  9 10  3  4
##  [8641]  5  3  3  6  3 10  4  1  9  4  6  8  5  9  4  6  9  5  8  5  2 10  8  4
##  [8665]  4  5 10  9  3  4  9  6  8  3  9  3  4  5  5  3  8 10  4 10  7  7  8  5
##  [8689]  6  3  2  4  5  5  8  9  7  2  9  4  9  4  5  7  6  7  4  3  5 10  4  5
##  [8713]  7  6  2  4  6  9  4  3  2  6  7  3  3  5  9  6  3  4  7  9  8  7 10  5
##  [8737] 11  9  4  3  7  7  6  8  6  9  4  4  7  9  5  4  8  2  2  2  8  4  7  5
##  [8761]  6  5  7  6  6  4  5 11  8  2  6  7  6  9  9  9  6  2  6  4  7  9  6  4
##  [8785]  4  7  7  7  8  3  6  8  5  0  6  9  4 10  4  3  2  9  3  6  5  9  8  3
##  [8809]  4  8  5  4  7  8 10  1  9  7  8  5  6  6  9  5  9  4  6  4  4  5  4  8
##  [8833]  9 11  9  6  5  4  1  9  2  6  6  5  4  9  6  3  7  5  9  4  4 11 11  3
##  [8857]  7  6  9  5  9  1  3  7  5  3  3  3  9  7  9  4  7  6  5  6  6  6  4  5
##  [8881]  6  1  5 11  4  8  5  6 11  9  0  3  6  5  5  4  4 11  5  9  9  3  6  2
##  [8905]  2  3  6  6  5  6  6  7  6  7  4 11  7  1  6  1  7  7  2  6  2  3  3  7
##  [8929]  8  6  7  6  5 11  4  3  6  6  6  2  5  3 11  7  7  7  8  4  8  6  5  5
##  [8953]  9  3 11  3  6  3  3  6  3  5  2  7  4  2  6  4 11  5  2  4  9  5  4  8
##  [8977]  6  4  6  6  2  4  1  3  7  4  4  2  5 13  6  6  7  2  3  5  3  4  4  8
##  [9001]  2  5  5  7  4  8  5  6  6  6  4  3 10  4  6 11  8  6  9  9  7  3  3  4
##  [9025] 10  8  9  4  4  4  7  6  6  4  6 10  3  9  8  3  4 12  7  6  9  8  5  2
##  [9049]  5  7 13  6  2  5  6  6  6  6  4  4  6  3  7  4  3  5  5  2  8  2  8  2
##  [9073]  9  5  3  4  9  4  7  5  6  6  5  3  2  2  8  2 11  4  2  6  3 10  6  5
##  [9097]  9 10  9  9  6  4 11  4  5  5  6  5  4  9  9  3  7  3  4  4  5  6  4  7
##  [9121]  4  3  5  6  2  7  6  9  4  9  2  8  7  7  6  5 10  4  7  5  8  8  3  7
##  [9145]  3  6  3  7 11  7  7  3  6  3  9  2  7  8  6  3  6  9  2  8  5  6  5  5
##  [9169]  7  4  5  9  9  1  2  4 11 11 12  4  7 10  8  7  9 11  9  7  8 10 10  6
##  [9193]  7  9  5  3 11 10 11 11 10  2  5 10 11 11 11 11 11  7  9  4  4  8  7  8
##  [9217] 10  6  7  9  7 11 10  4 11  9  2  3  7  9  9  9 10 10 10  8  9  6  7  9
##  [9241]  7 10 11  9 11  5  4  4  8 11  2  5 11  9  8 10  7 11 11  3 10 10  3  5
##  [9265]  3  6  4  4  6  4  5  9  4  5  6  1  5  6  5 11  9  9  5  6  7  3  4  6
##  [9289]  6  6  3  5  7  2  7  7  4  6 10  9  8  6  7  4 10  4  7 10  5  3  2  9
##  [9313]  9  4  3  2  5  7  7  8  7  9  4  6  6  6  7  4  3  8 10  5  7 11  8  8
##  [9337]  7  5  6  3  6  7  8  3  3  7  5  5  3  7  3  6  8  5  7  7  9  6  6  3
##  [9361]  3  8  8  3  8 11  8  8  4  3  9  8  4  5  8  9  3  5  7  4  6  5  5  7
##  [9385]  4  6  5  1  8  8  2  5  6  8  6  1  7  7  3  4  6  6  6  4  7  7  5  5
##  [9409]  8  9  8  2  4  3 10  9  3  5  1  2  7  3  7  5  8  8  9  8  3  7  4  5
##  [9433]  5  2  6  6  5  6  0  3  7  8  7  7  6 10  8  2  7  6 10  5  6  5  9  8
##  [9457]  3  4  6  4  7  4  9  1  5  7  7  1  7  5  4  2  2  5  5  5  7  5  9  5
##  [9481]  6  3 10  7  5  8  4  7  5  5  6  3  4  3  6  6  6  5  6  3  9  5  7  5
##  [9505]  2  8  5  7  2  5 11  5  6  3  2  5  4  2  7  7 11  7  5  6 11  8  4  9
##  [9529]  5  6  1  2  7  1 11  3  5  5  9  9  5  5  3  9  6  5  5  5  5  0  7  5
##  [9553]  7  3  3  6  7  2  6 11 11  6  5  5  4  5  3  5  2  6  5  8  5  7  3  4
##  [9577]  6 11  5  5  4  9  3  4  4  4  3  6  3  6  5  3  5  5  5  4  6  6  4  4
##  [9601]  7  5  3  5  3  5  3  5  4  6  2  5  4  2  7  4  6  3  5  2  3  2  2  1
##  [9625]  7  4  6  4  7  5  5  5  7  7  6  4  1  7  4 10  6  5  7  4  9  6  2  6
##  [9649]  5  4  6  5  4  6  3  6  2  1  2  1 12 10  8  4  6  5  2  3  4  7  5  7
##  [9673]  2  1  8  6  9  4  2  5  2  6  2  4 11  2  9  4  5 10  8  6  7  9  9  1
##  [9697]  7  3  6  9  8  3  6  6  6  7  8  4  6  5  3  6  2  2  2  3  7  2  8  9
##  [9721]  4  6  9  3  5  3  8 11  5  3  6  6 10  6  1  5  8  3  6  6  4  3  6  4
##  [9745]  8 10  7  6  1  2 10  2  4  2  5  3  5  6  6  3 10  6  3  7  4  5  4  6
##  [9769]  5  4  8  6  5  7  4  5  7  5 11  2  4  9  3  9  9  7  7  6  4  6  5  4
##  [9793]  3 10  2  7  6  7  6  4 10  1  9  5  3  4  7  5  6  7  6  6  9 10  7  2
##  [9817]  8  4  3  7  4  7  6  3  4  8  3  5  5  7  7  4  8  5  3  5  7  5  6  4
##  [9841]  3  5 10  7  5  8  7  6  9  7  8  3  6  5 10  5  5  1  4  3  8  9  3  3
##  [9865]  4  2  4  7  4  2  5  7  5  1  2  4  5  2  4 10  6  6  3  6  5  7  5  3
##  [9889]  6  7  9  5  5  8  4 10  5  7  3  6  4  5  6  3  4  6  5 10  5  9  4  5
##  [9913]  9  5  4  4  6  9  3  5  8 10  9  8  4  5  4  4  6  5  5  2  4  6  6  4
##  [9937]  1 11  2  6  9 11  8  7  8  8  5  5  6  4  5  4  3  6  7  3  4  5  9  5
##  [9961]  6  1  5  6  8  6  5  7  8  5  4  7  6  3  8  9  5  4  8  5  8  5 11  8
##  [9985]  2  8  5  5  2  3  4  9  4  9  9  4  6  7  7  4  4 11  5  7  6  7  9  7
## [10009]  9  8  4  8  9  4 10  4  5  8  2  1  6  5  7  5  5  6  7  8  7  6  9  9
## [10033]  4  5  6  2  6  5  6  6  4  5  4  4  4  6  4  7  4 10  3  3  8  2  6  4
## [10057]  6  8  6  5  6  2  5  5  8  8  3  7  9  6  8  5 11  4  7  2  8  6  4  6
## [10081]  2  5  6  5  7  7  7  6  7  8  2  5  5  7  4  5  5  6  3  2  6  5  3  9
## [10105]  4  3  3  7  2  4  7  5  6  6  8  6 10  8  4  3  4  6  7  4  5  6  8  5
## [10129]  6 10  4  5  7  4  8  5  2  2  7  7  6 11  9  6  4  9  8  4  6 10  5  7
## [10153]  3  4  3  5  5 10  4  5  9 10  5  8  7  9  4  9  4  5  3  7 10  3  5  4
## [10177]  9  3  6 10  5  7  4  9  2  9  6  4 10  7  7  6  6  6  2 10  3  2  3  2
## [10201]  6  7  6  3  8  2  4  6  6  2  7  8  4  2  5  9  3  2  0  5  3  7  8 10
## [10225]  7  7  4  6  8  6  3  6  6  3  3  3  9  8  6  6  4  4  9  6  7  3  9  7
## [10249]  5  5  7  7  6  0  2  5  5  4  1  7  4  5  8  4  3  1  5  3  8  4 10  3
## [10273]  7  7 10  5 10  6  8  7  3  7  4  6  5  3  9  2  5  4 11  5  5  2  9  3
## [10297]  6  7  9  3  5  9  7  5  3  6  4  6  5  2  5  4  5  1  4  3  7  4  6  3
## [10321]  6  7  4  2  7 10  4  6  5  9  4  3  6  7  8  5  9  6  7  7  5  6  6  9
## [10345]  6  4 11  5  6  3  7 11  1  3  5  6  1 10  4  6  5  8  6  3  5  4  8  3
## [10369]  6  5 11  5  6  9  8  8  4  3  8  7  3  2  6  3  6  5  7  6  7  5  9  4
## [10393]  3  8 10  4  2  3 10 11  3  2  5  6  9  5  3  3  2  3  7  6  7  8  4  6
## [10417]  5  4  3  6  2  5  7  6  9  8  5  2  3  6  3  3  7  9 10  9  8  8  4  6
## [10441]  6  5  9  8  3  8  3  3  5  4  7  7  9  6  4  4  6  8  9  4  5  5 10  6
## [10465]  8  4  7  7  5 10  3  8  7  2  3  6 14  5  5  7  7 10  4 11  1  4  2  1
## [10489]  5  4  7 10  6  5  6  2  4  9  3  4  7  6  3 11  8  7  9  4  7  7  7  4
## [10513]  5  7  7  4  8 12 11 11 11  7  4  5  4  6  5  6  4  4  8 10 10  4  3  5
## [10537]  6  6  6 11  9  8  6  5 12  4  6  4  7  6  8 11  6  5  5  4  5 11  3  4
## [10561]  6  4  6  8  2  7 12  9  2  6  8  6  8  9  1  4  7  5  4  3  4  6  5  2
## [10585]  7  6  5  5  7  6  6  6  7  8  6  8  7  6  5  5  6  6  7  4  1  7 11  5
## [10609]  4  8  9 13  7  1  2  8  5  7  4  2  5  2  6 10  3  9 11  7  6  5  3  4
## [10633]  6  6  4  7  4  5  6  5  4  4  3  6  5 10  5  6  6  6  6  6  7  6  7  3
## [10657]  6  5  3  8  4  5  8  8  7  3  7  3  7  9  6  5  4  4  6  8  8  3  5  4
## [10681] 10  4 11  7  5  6  4  8  4  5  4  7  9  5  5  3  4 10  1  4  4  7  9  6
## [10705] 12  8  2  7  6  2  5  9  8  2  2  3  7  7 11  7 10  5  7  2  4  8 10  5
## [10729]  6  5  5  9  4  7  5  6  9  3  6  4  2 10  6 10  7  3  6  9  7  8  3  9
## [10753]  5  4  4  8  3  4  8  3  8  1  2  2  8  2  3  4  3  5  9  9  7  4  5  8
## [10777]  8  7  1  4  6  4  6  8  4  4  6  5  8  8  4  7  6  2  3  6  5 11  7  5
## [10801]  8  4  3  2  8  6  7  4  4  8  9  4  7  4  8  6  4  7  6  6 10  6  5  2
## [10825]  6  9  7  4  2  7  9  2 11  9  4  9  6  5  7  4  4  3  6  8  6  6  6  4
## [10849]  2  3  6  4  4  4  4  9  5  5  7  4  3 11  4  9  5  4  9  3  8  6  7  3
## [10873]  4  7  5  3  5  7  4  7 10  6  8  3  6  6  7  8  9  5  6  9  3  6  6  5
## [10897]  7  4  3  6  8  4  4  6  7  8  4  5  6  8  2  9  9 10  6  5  2  3  5  5
## [10921]  2  4  6  9  6  6  4  8  3  4  5  5  9  6  2  3 10  8  4  6  5  6  7  8
## [10945] 11  2  1  6  5  3 10  4  4  7  6  4  3  2  5  2  6  2 10 11  6 10 11  9
## [10969]  8 11 11 10 10 11 10 11 11 10 11 11  9 12 11 10 11  0 10 11  8 10 10  6
## [10993] 11  9  6 10 10 11 11  3 11  6  9  7  8 11  8 10  9  5  5  5  3 10 10  8
## [11017]  5 10  2  6  3  5  4  8  6  5 10  9  9  3  4  8  6  7  9  7 10  4  5  6
## [11041]  6  6  7  4  5  7  4 10  1  4  5  5  6  6  7  4  2  5  4  7  6  5  5  7
## [11065]  5 10  4 10  2 10  7  7  5  7  9  8  8  9  7  8  7  7  7  9  4  5  4  3
## [11089]  7  7  7  5  5  5 10  3  2  7  4  5  7  8  7  2  4  7  3  8  8  5  7  4
## [11113]  8  7  9 11  6  6  2  6  6  6  8  7  3  2  4  7  4  8 10  7  4  5  4  8
## [11137]  2  5  6  4  5  9  3  5  6 10  8  5  3  7  6  5  4  4  3  8  3  5  8  6
## [11161]  6  4  4  5  6  3  5  7  4  3  4  4  5  4  3  5  5  3 11  9  8 11  2  4
## [11185]  5  8  9  3  7  4  6  6  7  4  6  6  4  5  4 10  1  6  5  6  2  6 10  7
## [11209]  6 11  5 11  6  8  6  6  9  8  6  6  7  5  4  8  3  1  6  7  9  5  6 11
## [11233]  6  8  6  8  5  4  9  7  6  4  3  5  5  8  4  5  2  6  9  3  7  2  1  5
## [11257]  8  8  5  6  6  6  6  7  3 12  5  3  6  6  6  6  5  2  4  9  3 10  5  5
## [11281] 10  4  9  1  3  3  3  6 10  4  9  6  9  1  3  3  2  3  8 11  5  3  4  6
## [11305]  3  2 10  6  2  4  5  5  7  7  7 12  2  7  9  8  6  1  4  4  5  8  8  5
## [11329]  1  7  3  4  5  4  8  8  7  8 10  8  6  4 10  7  9  4  6  6  8  4 11  6
## [11353]  6 10  2  6  6  5  8  8  4  5  4  1  4  9 10  3  9  3  8  3  4  6  5  7
## [11377]  9  9  4  6  5  8  4  5 11  5  6  7  3  6  3  1  4  9  5  7  3  8  9  8
## [11401]  7  9  6  4  4  6  7  6  7  3  7  5  1  8  2  6  6  8  1  4  8 12  5  9
## [11425]  7  6  5  8  9  6  2  7  5  6  2  5  8  8  4  4  5  3  8  4  6  8  8  5
## [11449]  2  5  9  2  9  9  7  3  5  7  9  7  5  2  5  7 11  2  5  6  6  8  4  8
## [11473]  7  3  8 11 10  7  5  4  2  6 10  8  6  7  4  5  5  5  5  7  6  4  3  8
## [11497]  8  4  4  7  3  7  3  3  3  6  1  6  7  7  7  6  5  4  8  2  3  5  5  3
## [11521]  4  5  4  6  7  5  8  7  5  3  4  5  6  7  4  5  6  3  6  4  9  3  1  4
## [11545]  7  3  7  3  3  8  6 10  4  5  7  7  4  6 10  9  8  3  5  6  7  8  8  7
## [11569]  6  4  9  6  9  6  4  6  4  8  4  9  3  5  5 13  7  6  2  4  4  6  7 10
## [11593]  5 11  5  5  6  2  6  4  5  8  7  6  8  5  2  6  5  7  6  9  5  4  6  5
## [11617]  6  7  7  5  6  5 11  7  9  4  7  4  3  4  4  9  6  2  8  7  2  4  4  5
## [11641]  6  5  6  5  2  4 10  7  7  5  1  8  6  7 11  5  6  7  2  8  3  3  6  7
## [11665]  8  7  3  4  9 10 12  3  6  4  9  6  7  5  4  2  4  5  7  5  5  4  6  6
## [11689]  4  6  6  6  6  5  6  5  5  5  5  4  8  6  1  6  6  6  6  1  7  5  8  9
## [11713]  2  7  8  8 11 11  7  6  2  2  8  6  8  9  6  6 11  5 11  4  4  8  5  2
## [11737]  7  4  6  4  4  5  4  5  9  6  6  3  9  7  3  9  5  8  9  6  7  6  6  4
## [11761]  9  5  5  4  4  4  4  3  3  7  8  6  3  5  7  2  5  5  7 10  5  5  3  4
## [11785]  8  2  7  7  9  6  4  4  7 11  1  3  5  5 10  4  4  7  7  2  5  6  3  3
## [11809]  4  5  5  6  7  3 10  4  6  8  3  6  6  6  8  6  3  2  5  3  9  7  3  7
## [11833]  4  9  6  9  8  4  1  4  1  8  6  8  6  5  4  8  7  7 11  7  6  8  8  6
## [11857]  6  7  7  7  9  4  5  7  3  6  3  6  7  3  6  8  3  7  5  9  3  6  6  3
## [11881]  7  6  6  5  4  3  7 10  4  5  4  4  6  6  6  4  3  3  3  6  5  6  6  7
## [11905]  6  3  1  6  6  7  8  4  7  7  8  3  4  8  8  2  5  6 10 10  6  7  4  4
## [11929]  4  6  8  4  3  2  9  7  6  7  8  6  7  6  7  5  5  7  6  5  3  9  5  3
## [11953]  8  5  5  4  8 13 11  7  4 11  6  6  6  9  9  6  6 11  4  8  4  5  4  3
## [11977] 10  7  5  4  5  1  8  2  5  4  3  2  4 10  6  3  4  9  2  5  6  8  5  5
## [12001]  9  5  7  5 11  4  2  7  3  4  4  5  6  3  6  7  5  5  4  7  4  6  5  6
## [12025]  2  5  6  5  5  2  5  9  3  8  7  5  4  4  1  6  5  7  3  6  2  7  6  7
## [12049]  6  8  6  6  2  5  4  3  6  5  6  3  5  8  4  3  5  6 10  4  3  7  4  3
## [12073]  6  4  3  8  6  8  7  3  5  3 14  9  5  4  6  3  8 10  5  7  4 11  7  2
## [12097]  8  6  8  5  8  5  5  4  5  9 11  6  6  4  9  3  7  6  6  4  5  6  5  6
## [12121] 10  7  4  3  3  3  3  5  5  3  5  8  8  5  8  8  5  9  2 10  3  6  5  5
## [12145]  7  4 10  8  5  6  5  6  7  5  5  5  3  5  7  8  6  9  6  5  7  7  4  4
## [12169] 11  7 11  5  7  4  8  7  5  6  6  6  9  9  5  3 11  4  4  7  6  5  4  5
## [12193]  8  6  6  4  5  4  7  4  4  3  3  3  5  7  4  6  6  8  6  4  7 10  8  7
## [12217]  7  5  6  8  8  7  5  3  9  5 10  7 10  6  9  7  6  5  9  8  7  6 11  5
## [12241]  7  7  9  8  8  8  3  3  1  8  6  4  8  4  3  8  5  8  5  4  7  5  4  9
## [12265]  8  5  3  8  5 10  7  8  9  8  6  6 11  3  4  6  3  5  7  4  2 10  7 10
## [12289]  5  5  6  5  4  6  8 10  8  6  7  6  7  3  3  3  6  7  6  3  5  4  2  8
## [12313]  3  3  5  7  2  8  6  8  3  7  8  8 11  3  7 11  5  4  9  7  8  3  5  5
## [12337]  5 10  7  6  7  7  9 13  5  5  6  4  7  4  3  7  5  4 11  9  6  3  2  5
## [12361]  3  3  2  2  7  7  5  5  6  5  4  1  2  3  1  4  4  8  4  3  9 10  7  8
## [12385]  5  3  7  7  3 10  9  7  4  7 10  5  8  7  3  7  8  5  4  2  9  5  9  5
## [12409]  4  6  4  4  5  3  6  6  5  4  6  1  2  4  4  3  6  4  3  3  2  4  6  3
## [12433]  6  6  5  3  4  5  7  6  6  4  1  4  5  5  3  3  7  6  8  3  7  7  4  7
## [12457]  5  8  8  5  4  5  4  5  4  4  6  7  2  7  8  9  3  6  5  8 11  9  4  8
## [12481]  5 11  7  6  7  7  8  6  7  6  3  8  5  7  3  3  5  6  9 10  6  5  8  8
## [12505]  7  7  6  6  5  4  8  8  4  6  5  6  4  6  4  2  4 10  5  2  4  4  4  3
## [12529]  5  4  4  8  6  4  4  4  8  7  4 11  5  4  3  6  9  6  8  6  6  7  3  7
## [12553]  4  4  5  6  8  4  3  8  3  5  7  9  2 11  6  5  3  5  4  6  7  8  2  8
## [12577]  4  6  5  2  6  9  5  6  6  5  5  6  2  7  4  6  3  7  7  3  6  5  6  9
## [12601]  2  5  7  4  4  7  6  8  3  8  6  5  6 10  6  7  5  5  7  8  6  4 10  2
## [12625]  9  0 10  7  9  7  5  7  9  7  8  5  5  6  4  5  5 10  7  8  7  7  7  6
## [12649]  7  7  1  4  3  5  5  7  7  3  6  7  5  7  3  6  6  4  8  9  6  9  6  4
## [12673]  9  4  5  9  3  6  5  6  3  4  5  6 10  7  9  8  5  5  8  5  5  8  2  6
## [12697]  8  3  9  5  9  5  7  5  7  8  6  2  6  5  6  3 11  9 11  4 11  4  8  4
## [12721]  6 10  4  7  8  1  4  7 10  7  8  8  8  2  5  7  5  8  9  6  5  4  8  4
## [12745]  4  7  8  7  8  2  9  5  4 11  5  7  9  7  8  2  9  6  8  5  4  8  8  4
## [12769] 10  2 11  8  3 10  7  9  5  9  2  6  2  5  5  7  7  3  5  7  6  3  4  4
## [12793]  4  8  4  8  3  4  6  4  8  6  8  3  7  5  6  5  4  7  6  7  7  6  6  7
## [12817]  8  3  4  6  6  1  8  2  3  5  7  2  6  4  4  7  5  7  6  7  8  7  7  9
## [12841]  2  7  2  9  5  6  6 10  6  8  8  5  5  4 10  7  4  3 10  6  9  2  7  2
## [12865]  2 10 12  9  4  6  6  4  3  4  3  8 10  1 12  3  2  8  6  6  7  5  9  8
## [12889]  9  8  3  7  9  4  9  5  3  7  2 11  6  6  7  7  4  9  2  6  8  3  5  1
## [12913]  8  5  7  9  5  8  4  7  8  5  1  8  6  8  7  3  6  4  7  6  3  7  4  6
## [12937]  6  8  7  6  6  9  4  7  8  2  3 11  8  6  4  2  3  1  6  5  5  3  7  6
## [12961]  5  6  2 10  5  5  5  3  8  3  5  8  3  4  5  1  1  1  4  5  7 11  6  3
## [12985]  8  7  7  8  9 13  8  6  5  6  8  9  7  6  4  8  7  4  6  9  6  4  6  8
## [13009]  6  4  9  3  4  8  7  9  6  4  7  6  3  7  3  6  6  7 12  5  3  8  5  7
## [13033]  4  8  5  5  5  3  5  9  5  7  5  8  7 11  2  4  7  6  6  3  7  8  7  4
## [13057]  6  7  5  5  6  8  5  2  7  7  8  7  5  2  3 10  7  6  4  8  3  9  6  8
## [13081]  5  2  8  9  8  5  4  4  9  8  4  5  9  5  7  6  7  5  4  3  6  6  7 10
## [13105]  3  4  7  4  6  4  8  5 10  1  6  7  5  3  6  6  4  6  7  5  3  2  8  7
## [13129]  7  8  7  5  9  4  7  5  6  5  7  4  2  3  4  9  7  5  8  4  5 11  8  7
## [13153]  7  8  5  4  4  6  6  5  7  6  6  6  7  5  6  6  4  8  2  3  5  2  6  6
## [13177]  7  6  6 10  5  7  5  6  6  4  5  4  9  5  7  4  6  8  7  5  5  4  7  6
## [13201]  8  2  7  7  3  5 10  4 11  3 11  2 10 11  6  5  5  2  6  3  2  1  6  7
## [13225]  9 10  6 11 11 11  4  5  8  4 11 10 10 11 12  9 11  9 11 11  8  8 10 11
## [13249] 11 10 11  9 11  7  6  3  2  2 10 11  4 10 11 11  2  8 11  5 11  7 10  2
## [13273] 10 11 10 11 11 10  9 11  6  2  6  7  6 11  6  2  8  2  4  2  6  3  6  9
## [13297]  7  2  4  2  6  7 11  4  9  8  6  6  9  4  5  5  7  8  9  5  7  9  5  3
## [13321]  7  5  5  3  6 10 10  7  2  7  4  6  3  5  8  6  7  6  6  7  4  8  3  8
## [13345]  5  7  8  8  3 10  6  8  6  6  4  4  9  3  6  7  5  9  6  7  4  5  4  7
## [13369]  8  3  7  5  7  2  8  5  5  2  5  4  9  8  6  1  5  9  6  5  5  4  4  9
## [13393]  3  7  6  7  6  9  4  4  7 11 11  8  7  6  8  7  3  6  4  8  3  5  8  5
## [13417]  3  3  9  7  4  3  8  5  6  2  7 14  8  8  9  8  6  4  9  8  4  7  8  5
## [13441]  7  8  6  1  4  6  5  6  9  7  3  9  6  9  7 10  8  4  7 13  8  8  9  6
## [13465]  5  6  4  4  6  7  1  5  2 10 10 11  3  8  2 10  4  4  6  3  5  6  5  4
## [13489]  7  5  8  4  7  6  8  3  1  5  9  3  8  6  3  8  6  2  7  3  3  3 10  9
## [13513]  3  7  4  7  6  7  8  5  3  5  9  4  6 11 11  7  7  8  3  5  6  7  7  8
## [13537]  8  8  6  2  5  5  6  4  6  5  8  6  8  9  8  3  7  4  8  5  6  7  6  6
## [13561]  8  7 12  8  6  4  5  6  4  4  9 11  7 11  9  4  9  7  5  7  4  4  7  5
## [13585]  6  4  8  6  7 10  7  8  6  7  5  5  4  3  7  8  8  6  4  2  4  8  4  6
## [13609]  8 10  7  8  7  6  8  4  5  5  4  2  7  7  6  5  7  4  9  5  6 10  2  3
## [13633]  7  8  7  8  6  9  5  6  4  6  8  7  4  8  2  8  6  9  8  5  8  8  7  8
## [13657]  8  4  8  3  9  8  7  8  8  8  8  8  8  8  8  9  8  2  3  8  8  8  2  4
## [13681]  6  7  2  4  7  5  5  6  9  5  9  6  8  8  3  6  8  4  9  6  6  7  4  1
## [13705]  9  4  7  7  9  5  5  8  3  9  3  5  6  8  6  5  5  6  5 10  5  6  4  7
## [13729]  2  6  6  3  7  3  5  5  8  8  8  8  4  6  3  4  3  8  3  2  5  4  5  6
## [13753]  4  4  5  5  6  8  5  3  8  7  4  6  6  8  5  6  2  8  2  7  6  5  6  7
## [13777]  3  5  6  2  5  6  4  5  6  8  4  8  6  3  9  6  4  8  5  4  9  6  8  9
## [13801]  3  3  3  6  6  5  8  2  3  5  3  8  4  8  8  6  4  5  5  9  7  1  7  6
## [13825]  6  8  4  7  4  8  5  8  5  4  4  9  7  8  4  5  8  5  3  6  8 10  5  4
## [13849]  7  3  2  5  8  2  5  6  6  5  5  7  7  8  8  6  5  7  4  5  3  3  4  3
## [13873]  4  8  5  4  8  3  3  4  4  7  9  7  2  4  8  8  5  3  6  4  3  8  5  2
## [13897]  2  3  2  5  5  6  4  2  4  8  5  3  3  4  7  7  5  6  6  9  5  7 10  3
## [13921]  3  8  4  8  6  3  5  6  7  4 10  5  3  6  6  9  8  8  5  8  5  7  9  8
## [13945]  3  6  8  6  5  2  4  6 10  6  7  7  6  4  5  9 11  6  8  3  3  6  8  2
## [13969]  6  8  6  7  5  6  8  3  5  5  4  4  6  6  4  5  8  6  6  8  6  6  6  5
## [13993]  5  3  5  6  6  5 10  2  5  3  5  3  6  3  3  4  6  6  7  9  5  3  8  7
## [14017]  4  5  6  6  7  8  5  5  3  4  3  4  7  1  6  6  5  3  3  5  3  4  4  5
## [14041]  4  4  7  5  9  5  5  5  3  5 10  6  4  6  3  6  9  6  4  8  8  5  2  6
## [14065]  8  9  4 11  9  7  8  3  6  8  8  5  3  6  7  8  5  9  7  6  7  8  4  5
## [14089]  7  2  6  9  6  5  7  5  9  3  6  5  8  3  7  7  4  4  4  8  5  7 11  4
## [14113]  7  9  8  3  6  3  6  4  1  6  5  3  5  3  7 10  6  8  8  5  6  2  6  8
## [14137]  5  4  7  8  4  6  2  2  6  8  6  5  5 10  3  8  7  3  7  7  7  7  4  3
## [14161]  4  8  3 12  7  4  4  4  7  5  5  3  4  5  8  8  6  7  6  3  3  8  8  9
## [14185]  8  6  9  7  6  6  8  8  4  5  6  7  6  7  4  7  3  7  3  3  8  8  7 11
## [14209]  3  5  5  9  7  5  4  2  7  3  6  6  9  4  4  3  6  4  3  7  4  6  7  4
## [14233]  8  5 10 11 10  6  8  5  6  6  9  7  9  6  7  5  5  4  4  4  5  7  4 10
## [14257]  3  7  5  2  5  4  5  7  4  7  2  4  6  4  2  7 10  9  5 10 10  8  9  9
## [14281]  4  7  9  3  7  3  4  9  7  1  5  3  4  9 11  4  9  5  8 11  8  5  5  6
## [14305]  7  1  5  4  8 10  9  5  7  3  7  7  4  9  3  3 10  9  2  9  7  7  3  7
## [14329]  7  7  7  5  8  7  5  4 11  5  6  7  7  7  9  6  5  6  4  6 10  3  5  5
## [14353]  8  9  8  5  5  8  9  4  3  6 10  9  6  8  7  8  3  5  8  7  5  5  8  7
## [14377]  9  4  6  4  6  8  3  6  8  4  5  5  4  4  1  6  4  6 11 11  7  7  9  5
## [14401]  9  3  5  7  3  6  7  3  3  8  9  4  9  3  8  7  3  8  3  7  2  7  5  5
## [14425]  1  9  3 10  9  6  5  3  8  7  2  9  5  4  5  3  3  3  6  4  9  3  6  9
## [14449]  4  4  4  6  9  4 11  4  6  6  4  1  1  8  3  7  4  6  5  7  6  7  8  4
## [14473]  7  6  4  7  6  6  4  3  4  7  6  5  4  4  7  8  7  1  7  6  5 10  7  5
## [14497]  4  2  4  7  8  3  7  3  8  8  5 11  6  5  7  2  2  7  2  4  5  4  5  2
## [14521]  4  5  4  3  3  3 10  4  6  5  6  1  8  5  4  3  5 10  4  8  8  3  4  4
## [14545]  7  5  3  3  2  7  5  7  6  4  9  6  5  5  2 10  5  2  1  4  6  2 11  2
## [14569]  6  4  7  5  4  6  9  5  4  8  4  4  8  5  6  7  7  4  6  5  7  7  5  4
## [14593]  9  5 10 10  8 10  5  2  5  5  8  6  6  2  5  3  6  8  5  6  3  6  7  6
## [14617]  8  9  4  3  7  4  4  8  4  9  5  8  5  5  2  7  6  5 11  8  5  6  2  3
## [14641]  5  3  6  3  6  5  7  7 10  7  4  9  6  7  5  5 10  5  6  7  4  5  6  9
## [14665]  5  2  2  6  8  4  6 11  5  6  8  4  3  4  1  4  6  7  4  6  9  7  5 11
## [14689]  7  6  3  7  6  6  8  6 10  5 12  4  7  7  3  6  8  4  3  1  6  5  1  7
## [14713]  4  2  9  2  6  7  2  7 12  7  4  5  4  3  4  7  8  5  4  7  5  9  7  6
## [14737]  6  5  3  2  9  4  5  7  3  8  3  4  5  9  5  7  7  5  5  6  8  6  7  2
## [14761]  7  6  4  7  9  4  7  6 10  8  5  9  5 10  8  5  7  5  5 10  8  2  5  5
## [14785]  3  3  6  9  7  9  4 11  2 10  5  2  2  7  9  3 11 11 11 11 10  6 11 10
## [14809]  7  5 11 11 10 11 10  7  6  8  3  8  6  6  5  8  5  7  6  4  5  3  4  6
## [14833]  7  1  5  2  6  7  4 11  8  4  7  5  5  7  9  4  0  5  5  8  3  4  2  8
## [14857]  8  3  3  3  4  3  6  8  4  3  5  2  4 10  3  6  5  6  8  6  3  3  3  5
## [14881]  5  6  5  6  2  6  2  3  4  4  6  5  4  6  3  4  3  6  7 12  4  5  3  8
## [14905]  3  7  5  5  9  6  3  3  5 10  8  4  4  4  3  9  6  9  7  9  4  4  6 11
## [14929]  5 11  5  7  5  7  3  5  5  6 10  1  5  6  9  7  9  5  4  6  5  2  2  6
## [14953]  4  1 11 11  5  5  4  4  4  5  6  3  4  4  2  5  7  5  6  3  5  6  9  5
## [14977]  7  5  7  5  5  9  6  6  7  3  7  5  3  8  6  4  4  8  7  3  7  7  6  8
## [15001]  9  5  3  4  7  5  4  1  5  3  8  6  4  7  8  8  8  2  1  4  4  3  5  4
## [15025]  2  8  7  5  4  5  7  5  2  4  6  7  6  2  8 10  4  3  4  9  4  3  6  3
## [15049]  6  3  2  5  8  2  8  7  6  7  8  7  7 11  3  7  4  6 10 10  9  1  5  2
## [15073]  8 11  6  9  5  4  6  1  4  4  9  3  5  8  9  6  5  1 10  5  1  1  7  4
## [15097]  4  4  4  4  6  4  5  6  7  6  7  4  7  9  9  1  1  1  6  8  3  3 10  5
## [15121]  6 10  5  4  8  6  5  7  8  5  5  4  5 11  5 10  9 10  7  5  3  5  2  6
## [15145]  3 11  6  2  6  7  7  6  3  5  7  6  5  5  5  7  7  5  4  4  7  5  6  7
## [15169]  3  6  3  7  2  4 12  8  1  6  5  0  5  8  2  5  6  7  4  2  6  7  7  5
## [15193]  3  9  6  3  6  4  8  7  8  5  6  7  4  5  8  5  8  6 10  5  6  4  9  2
## [15217]  7  2  5 10  4  6  7  6  8  9  6  4  6 10  4  4  3  8  3  4  4  9  5  8
## [15241]  5  4  5  5  4  9  3  6  6  9  7  6  4  7  6  9  3  8  2  5  4  8  5  5
## [15265] 12  2  5  4  5  8  9  4  6  2 10 11  5 11  4  9  5  5  2  4  3  5  2  5
## [15289]  2  7  5 11 11 10 11  5 10 11 11  8 11 11 10 11 11  6 10 11  6 11 11 10
## [15313] 11 12 11 10  6 10 10 11 11 10 11 11 10 11  4  3 11 11  9  3  7  5  5  3
## [15337]  5 10  4  6  8  9  2  7  4  7  7  2  9  6  3 10  8  6  2  2  7  4  3  1
## [15361]  3  6  7  2  5  5  2  8  2  3  7 10  9  7  6  5  6  4  9  6  6  4  6  6
## [15385]  4  3  7  9  6  4  7  7  4  9  8  7  9  5  3  1  8  7  6  3  6  5 10 10
## [15409]  6  6  5  4  5  6  2  6  6  8  6  5  6  5  4  4  4  4  5 13  4  3  6  5
## [15433]  9  6 10  4  3  8  4  7  5  1  1  4  3  8  6  4  8  6  6  5  3  3  7  5
## [15457] 10  8  5  6  3  6  6  4  6  3  3  2  4  7  7  6  4  6  3  3  3  8  7  4
## [15481]  3  6  3  2  2  5  8  3  3  5  5  5 11  1 11  7  3  5  4  4  6  2  2  5
## [15505]  4 10  9  6  5  2  4  4  4  5  2  2  2  7 10 11  7  6  7  9  4  2  5  3
## [15529]  5  7  4  5  2  3  9  6  6  5  8  9  8  5  4  7  7  4  7  2 11  5  2  4
## [15553]  5  2  4  7  8  7  4  8  3  8  2  7  6  2  3  4  7  5  8  4  6  3 10  3
## [15577]  9 10  3  7  4  3  9  4  5  4  7  5  3  6  7  7  8  3  6  6  8  3  6  4
## [15601]  8  9  4  7  4  7  2  8  3  4  9  6  1  8  4  5  4  8  5  6  8  6  9  3
## [15625]  7  5  4  7  5  7  9  3  4  2  5  6  7  7  8  8  3  6  7  3  3  2 10  9
## [15649]  6  5  9  5  2  2  8  7  8  6  9  9  6  6  7  5  5  4  4  8 12  9  6  4
## [15673]  8  5  6  4  7  6  7  3  5  6  9  2  5  5  6  5  9  6  7  5  4  5  7  8
## [15697]  7  6  4  6  4  5  5  8  9  4  9  8  3  3  8  5  4  1 12 10  4  7  6  4
## [15721]  5  2 12  5  4  3  5  7  6  5  8  6  5  4  5  6  8  6  3 11 10  8  4  8
## [15745]  7  2  3 10  7  2  9  4  8  7  5  2  5 10  8  8  7  5  6  5 10  1  8  3
## [15769]  3  3  5  4  8  4  8  6  5  5  8  1  1  9  8  6  4  4  8  9  2  5  9  4
## [15793]  8  6  5  5  2  4  7  8  6  2  8  6  6  9  2  8  7  9  6  8  3  6  7  1
## [15817]  3  5  5  5  2 10  7  3  5  4  6  4  6  7  2  5  7  4  6  4  2  4 10  5
## [15841]  5  3  9  4  3  7  4  2  4  4  7  5  7  8  6  3  9  6  5  3  5  4  2  4
## [15865]  7  4  7  5  7 11  3  9  7  8  7  6  7  3  5  7  5  2  4  7  4  4  9  4
## [15889]  9 12  6  5  7  7  5  7  6  5  4  6  4 11  9  5  7  6  7  7  8  5  3  8
## [15913]  5  7  7  4  6  6  2  8  8  4  4  6  5 10  9  4  5  5  5  2  4  8  5  6
## [15937]  9  4  4  3 10  4  6  4 11  4  8  8  6  6  4  7  3  4  6  6  3  8  4  5
## [15961]  6  4  5  4  3  3  7  9  3  9  2 10  7  6  7  6  6  3  2  5  7  5  2  3
## [15985]  7  2  6  8  8  7  3  3  7 11  8  7 10  6  6  4  6  8  6  8  6  7  2  6
## [16009]  7  6  6  2  9  5  6  9  7  3  8  2 10  5  6  8  9  1  3  2  3  6  5  4
## [16033]  5  8  5  7  4  8 11  6  7  3  5 10  4  5  5  6  5  4  5  3  4  9  2  7
## [16057]  3  4  7  6  4  3  3  5  9  3  9  6  8  6  7  3  2  4  8  7  8  3  7  5
## [16081]  5  5  9  3  8  6  8  6  9  6  6  7  6  8  7  8  5  8  5  3  3  5  7  6
## [16105]  7  7  8  4  6  3 10  5  4  4  1  9  8  8  8  5  2  6  8  6  7  6 10  7
## [16129]  9  6  9  9  5  6  6  5  8  3  5 11  5  6  7  3  3  4  2  5  5  7  6  6
## [16153]  6  6  4  7 10 11  6  5  5  5  4  7  8  3  4  5  4  4  9  8  7  5  5  5
## [16177]  9  2  4  6  5  6  4  1  3  7  7  7  6  8  2  3  6  5  3  6  4  2 11  6
## [16201]  7  7  6  2  7  3  1  6  5  7  9  8  3  3  5  9  6  4  5  2  1  4  6  5
## [16225]  7  9  5  2  4  8  3  7  3  5 11  5  9  6  7  8  5  7  6  6  9  9  5  9
## [16249]  4  5  5  7  6  3  8  1  7  7  5  7 10  4  9  5  7  6  1  6  5  7  5  2
## [16273]  4 11  4  7  9  9  4  6  6  9  8  7  2 10  7  5  5  7  6  8  6  7  4 10
## [16297]  8  5  3 11  2  9  4  5  5  3  6  6 11  7  4  2  2 10  4  7  4  2  7  2
## [16321]  7  3  9  3  4  7  6  9  6  9  2  5  2  4  3  5  7  5  9  4  6  6  4  3
## [16345]  8  7  7  7  7  7  1  6  4  3  2  8  8  4  3  4  7  8  7  4  3  8  8  2
## [16369]  6  5  5  8  5  3  7  3  6  7  4  6  2  5  0  8 10  4 10  2  5  3  6  4
## [16393]  7  4  4  4  2  8 13  3  9  3  3  1  3  7  2  5  6  3 10  9  8  7  4  4
## [16417]  7  5  8  3  8  6  5  9  4  6  3  6  5  1 12  4  3  9  4  5  5  3  7  3
## [16441]  7  7  5  7 10  8 11  6  8  6  9  6  6  8  6  8  3  8  2  5  4  5  7  6
## [16465]  8  6  2  7  7  7  7 11  6  7  1  9  9  9  5  7  4  9  8  4  4  6  2  7
## [16489]  3  7  8  6  4  9  6  4  7  4  7 10  7  8  6  2  4  4  2  5  2  3 10  3
## [16513]  7  7  3  8  5  4  8  1  7  5  7  2  9  7  5  4  4  6  5  3  8  4  3  2
## [16537]  5  5  5  5  5  5  5  5  5  5  5  5  5  5  8  8  0  2  3  6  2  9  9  5
## [16561]  9  5  5  5  6  2  5  8  4  9  6  3  8  4  5  8  5  4  7  4  4  6  8  8
## [16585]  7  6  2  8  3  9  3  8  5  2  8  5 10  3  6  5  6  5  7  2  5  2  2  4
## [16609]  3  6  7  2  9  7  3  5  7  6  6  5  2  8  6  9  8  8  9  3  7  9  2  6
## [16633]  6  5  2  6  6  5  7  9  4  4  3  8  7  5  9  5  5  6  6  5  5  6  9  9
## [16657]  2  7  5  7  7  6  4  5  4  1  4  6  6  7  7  9  7  4  6  2  4  6  7  5
## [16681]  3  3  7  2  7  9  6  6  8  4  4  5  4  3  2  7  6  9  3  7  5  4  5  2
## [16705]  3  6  8  8  9  8  9  6  3 10  5  6  1  6  8  5  6  2  5  2  5  2  4  7
## [16729]  2  7  2  6  2  7  9  4  5  6  5 11  2  5  5  5  4  9  7  3  8  6  8  3
## [16753]  7  3  6  9 12  3  4  3  3 11  4  2  8  6  3  4  4  6 11  6  5  4  8  7
## [16777] 10  4  7  4  7  7  2  9  4  4 10  2  7 10  8  8  6  6 11  5  3  8  2  5
## [16801]  2  2  3  8  5  5  4  1  4  5  5  7  3  5  5  8  5  9  6  7  5  1  8  4
## [16825]  4  3  5  9  4  2  6  6  2  3  8  4  5  4  3  5  6  6  8  6  4  4  3  6
## [16849]  3  5 10  7  4  6  6  6  4  4  3  3  6  5  7  2  2 13  3  5 10  7  8  4
## [16873]  3  2  6  7  8  5  5  6  3  3  7  5  6  4  7  6  2 11  6  4  6  6  8  4
## [16897]  8  9  9 10  4  2  9  2  3  5  5  4  4  5  3  3  9  3  4  5  3 10  8  6
## [16921]  9  4  4  3  9  6  4  9  8  5  8  5  6  5  4  6  4  8  6  7  8  5  4  6
## [16945]  9 12  7  5  3  9  4  6  6  9  5  6  5  7  7  8  4  5  6  3  9  4  6  7
## [16969]  7  6  8  8  5  2  6  7  4  5  3  8  2  4  5  6  2  4  4  9  4  8 10  4
## [16993] 10  5 11  5  9  4  9  6 11  7  3  7  5 10  7  6  8  4  3  6  5  4  6  4
## [17017]  4  9  9  4  2  6  3  5  6  8  6  6  7  6  5  5  6  7  8  4  5  9  4  7
## [17041]  4  5  8  5  7  5  7  6 10  7 10  9  8  9  7  7  5  3  2  2  5  4  3  6
## [17065]  4  4  5  4  6  6  4  1  9  3  6 11  2  9  8  4  3  2  3  5  3  8  5  5
## [17089]  8  5  5  2  5  5  3  7  8  3  6  8  8  5 10  6  6  5  5 10  4  3  6  7
## [17113]  4  7  7  5 10  7  5  4  3  4  4  1  4  6  6  8  5  5  5  3  6  3  6  4
## [17137]  3  6 10 10  2  7  8  3  3  5  8  4  5  4 10  9  4  9  4  9  6  3  8  4
## [17161]  6  8  3  8  7  7  3  6  1  6  9  4  8  5  4  8  6  5  4  8  8  6  7  6
## [17185]  4  4  5  5 10  4  2  5  7  5  5  4  2  4  9  4  4  4  3  4  4  5  8  4
## [17209]  4  7  8  7  1  7  5  5 11  7  8  2  5  5  5  6  4  6  4  6  3  4  2  3
## [17233]  5  2  3 11  8  7  5  9  6  6  9  3  3  6  5  5  5  2  7  2  7  4  5  3
## [17257]  7  5  4  5  6  4  7  3  2  8  8  7  5  1  8 11  5  4  7  5  8  9  7  8
## [17281]  6  5  6  6  9  6  5  8  9  9  7  3  8  3  7  7  6  8  3  8  7  4  4  6
## [17305]  6  7  4  7  6  6  9  5  4  9  3  6  5  6  9  7  6  4  5  2  4  7  6 10
## [17329]  7  5  5  2  9  9  8  3  6  9  6  4  5  5  8  6 10  8  4  5  5  2  5  4
## [17353]  4  6  6  5  6  4  6  6 10  7  6  8  7  5  9  3  5  6  5  4  3  6  8  5
## [17377]  6 11  6  5  5  6  4  3  5  4  3  2  8  3  2  5  9  8  4  7  9 10  2  6
## [17401]  4 10  2  1  7 11  8  9  6  6  7  3  8  8  7  8  6  4  4  1  4  5  7 10
## [17425]  7  6  3  7  4  3  6  9  7  5  6  7  5  2  6  7  3 11  8  7  5  8 11  6
## [17449]  9  3  6  8  7  6  7  7  3  4  3  2  6  6  8  9  5  6  5  6  6  8  8  7
## [17473]  4  7  7  9  8  4  8  4  1  6  4  6  4  5  7  6  5  8  6  5  4  5  7  4
## [17497]  2  4  6  3  5  2  6  9  9  5  6  6  7  6  8  2  7  6  9  7  7  4  6  8
## [17521]  6  4  7  9  6  6  6  5  7  6  5  4  8  8  9  5  5  7  9  5  2  8  8  9
## [17545]  5 10  2  3  9 10  6  2  2  4  6  5  7  4  6  3  6  8 10  8  8  4  1  6
## [17569]  4  7  8  6  4  6  5  4  8  6  7  9  2  6  6  8  7  3 11 11  6  7  7  5
## [17593]  6  9  5  4  6  5  2  7  6  8  8  7  4  4  9  7  6  8  7  4  7  2  9  4
## [17617]  9  2  6  2  4  3  2  7  2  8  4  6  7  8  7  3  7  7  8  7  6  7  5  6
## [17641]  6  6  9  6  6  3  6  4  3  5  6  5  4  8  4  7  7  2  8  8  8  2  9  4
## [17665]  8  3  5  8  4  7  4  6  5  5  4  6  5  6  5  8  6  6  8  9  6  3  9  2
## [17689]  5  9  4  3  5  8  7  7 11  3  3  7  6  4  5  3  7 10 10  7  5  8  7  7
## [17713]  7  7  7  5  8  8  4  5  2  6  5  4  8  3  3  3  1 11  7  5  3  1  6  7
## [17737]  2  6  5  2  7  9  8  6  6  6  7  5  2  4 10  6 11  4  2  3  3  7  8 10
## [17761]  4  5  7  9  6  7  5  5  6  3  5 10  5  8 11  6  6  4  4  6  5  5  8 10
## [17785]  7  7  5  8  7  7  4  4  3  3  8  9  4  6 10  7  6  6  9  4  9  5  7  2
## [17809]  8  5  5  7  7  6  5  7  6  4  3  8  7  6  8  7  2  9  3  4  5  6  2  7
## [17833]  7  8  7  6  6  6  6 11  7  8  5  8  5  2  5  5  9  4  8  8  5  3  5  7
## [17857]  4  7 11  8  7  8  5  6  7  2  2  4  6  4  9  5  2  4  4  4  8  6  5  6
## [17881]  8  3  6 10  9  8  6  9  5  9 11  5  6  6  6  6  6  6  6  6  9  9  6  9
## [17905]  5  6  6  5  6  6  6  4  6  6  6  6  6  6  6  6  6  3  6  6  6  6  5  6
## [17929]  6  3  6  4  7 13  4  3 10  8  4  5  9  4  6  6  6  6  6 11  7  4  5  6
## [17953]  7  6  4  5 10  7  4  5  4  7  5  9  6  9  5  5  6  3  7  8  5  9  4  3
## [17977]  4  5  4  8  4  4  4  7  5  4  8  3  7  4  5 10  5  8  5  4  3  3  9  2
## [18001]  8  8  5  1  8  4  4  5  5  4  8  5  5  3  6  7  5  5  5  6  5  7  7  5
## [18025]  6  8  7  1  7  3  2  7  4  4  5  8  5 10 10  9  7  6  7  5  5  4  3  7
## [18049]  7  5  5  5  8 10  3  9 10  9  5  6  7  3  6  8  6  5  3  4  8  5  2 11
## [18073] 11  2  5 11  5  2  2  7  4 11  3  4 13  3  1  9 10  8  7 11 10 10  5 10
## [18097]  2 10  7 10  8 11  7 11 11  7 10 11  3  9  5 10  9  4  5  5 10 11  2  4
## [18121]  2 10  6  3  4  6  4  9  2  3  7  8  2  4  5  4  4  3 12  7  7  6  5  7
## [18145]  4  6  7  7  4  9  6  6  8  4  0  7  8  7  7  3  9  7  9  4  5  7  8  5
## [18169]  7  6  9  4  2  7  2  7  3  5  3  4  7  8  3  4  4  5  3  5  8  8  6  4
## [18193]  5  3  6  2  5  7  5  7  5  6  6  4  8  7  8  8  5  5  6  7  5  5  8 10
## [18217]  6  2  6  6  5  4  1  2  7  8  6  6  7  7  6  6  7  6 10  1  6  7  6  4
## [18241]  2  6  8  8 10  5  6  5  7  5  5  1 11  5  8  6  7  4  9  5  6  6  2  9
## [18265]  5  7  0  1  6  5 12  9  3 11  6  7  9  7  5  4  7 11  9  2  4  8  2  7
## [18289]  9  8  6  5  4  6  7  6  4  8 10  3  4  3  3  5 10  5  3  6  7  6  4 10
## [18313]  4  8  6  5  6  4  5  4  7  3  5  8  9 12  9  5  9  9  3  6  4  5  5  6
## [18337]  3  7  3  5  8  9  4  7  4  3  8  6  6  7  6  3 10  6  5  3  3  4  7 10
## [18361]  5  6  9  5  5  4  8  5  8  5  5  7  5  4  8  8  2  5  5  6  2  8  6  5
## [18385]  3  2  8  7  2  9  7  5  5  9  5  4  7 10  7  6  3  5  4 11  6  6  8  2
## [18409]  7  5  2  6  2  4  4  9 11  6  3  7  5  6  5  4  4  3 11  3  5  4 12  6
## [18433]  3  5  4  9  2  5  5  3  2  5  6  5  8  5  5  6  1  1  8 10 12 10  5  3
## [18457]  6  7  4  4 14  7  8  9  6  6  3 10 10  2  3  7  7  9  4  7  1  7  7 11
## [18481]  5  5 12 11  7  3  7  2  8  8  6  5  4  7  4  8 10  4  5 12  6  5  6 11
## [18505]  6  3  5  6  8  6  9  5  8  4  5  8  6  8  8  8  8  3  6  7  7  3  6  9
## [18529]  9  3  7  7  7  6  5  7  7  2 10  9  8  6  6  6  5 10  5  4  4  5  6  6
## [18553]  8  4  8  3  5  8  8  2  6  5  5  6  7  8  7  5  4  5  6 10  5  5  6  3
## [18577]  3  4  6 10  5  7  1  4  6  9  7  4  9  4  3  4  6  6  8  8  1  4  9  5
## [18601]  2  5  6  3 11  4  3  7  5  6  5  4  6  4  6  4  7  3  7  6  7  7  6  5
## [18625]  3  5 13  2  5  3  7  8  8  7  9  4  7  8  5  7  5  7  6  6  6  6  6  6
## [18649]  4 10  4  8  5  5 10  8  7  3 10 10  5  7  5  6  4  7  3  6  7  6 11  5
## [18673]  7 12  3  8  2  7  2  8  9  5  7  4  5  6  7  3  6  4  8  5  6  3  5  2
## [18697]  5  9  2  9  8  6  2  3  8  7  3  3  6  6  7  6  7  6  7  4  7  7  8  2
## [18721]  5  6  5  7  5  5  9  4  9  6  5  7  7  7  5  4 10  5  5  5  7  4  6  8
## [18745]  3  2  6  5  5  4  4  9  2  5  7  6  8  3  7  4  8  7  9  8  8  7  8  6
## [18769]  6  9  8  8  8  3  6 11  4  9  4  9  5  4  8  2 10  5  3  6  7  9  7  6
## [18793]  7  8  9  5  1  6  8  6  9  8  9  5  6  4  2  4  7  7 10  4  5  6  7  4
## [18817]  9  5  3  7  2  7  1  9  5  4  6  4  5  8  8  7  6  8  7  7  3  7  9  5
## [18841]  4  5  9  8  3  5  9  9  9  2  6  3 10  5  9  9  8  2  7  8  8  8  2  6
## [18865]  5  7  5  3  6  8  5  2  5  8  6  4  7  4  5  3  3  6  7  5  1  7  1  3
## [18889]  3  6  9  3  6  9  7  5  3  8  4  7  4  9  5  6  4  5  6  5 10  5  8  8
## [18913]  8  2  4  4  1  4  5  9  5  9  8  7  5  2  3  6  6  7  5  6  5  6  6  9
## [18937]  4  7  8  5  4  6  5  6  7  4  4  9  6  3  4  4  4  3  7  1  7  3  2  7
## [18961]  8 10  6 10  6  5  4  8  6  5  5  4  7  8  1  6  3  4  4  5  8  4  3  3
## [18985]  4  3  5  6  2  7  7  9  4  7  7  8  2  7  4  5  5  6  5  2  8  3  7  4
## [19009]  3  6  7  4  8  6  8  3  4  6  4  6  1  4  1  5  7  4  5  2  8  7  6  3
## [19033]  3  9 11  5  3  8  6  7  3  4  6  6 11  6  3  2  3  8  7  3  4  8  3  6
## [19057]  7  4 11  4  1  9  4  5 11  6  5  6  4  4  5  9  6  3  8  3  4  5  8  8
## [19081]  2  4  7  5  9  2  8  8 10  3  8  5  8 11  8  7  3  8  8 11  6 10  5  7
## [19105]  8  8  5 10  8  5  3  8  5  6  3  6  3  3  6  8  7  6  6  8  9  5  9  4
## [19129]  8  6  3  5  2  4  5 12  5  8  2  8  7 10  5 11  6  4  5  7  4  8  7  7
## [19153]  8  6  6  3  7  2  3  9  2  6  5  5  3  4  6  4  1  8  3  7  6  9  1  6
## [19177]  9  5  7  5  6  7  7  4  9  4  5 11  5  4  4  6  2 10  1  4  5  3  7  3
## [19201]  6  1  3  5 11  5  6  6  5  3 10  5  6  6  4  8  9  7  6  4  8  9  6  6
## [19225]  6  3  8 11  2 10  6  7  5  8  7  6  5  6  7  4  7  6  7  8  3  9  6  6
## [19249]  8  6  8  7  7  3  9  7  5  6  8  6  7  9 10  4  7  9  4 10  4  4  5  8
## [19273]  6  5  5  7  5  4  5  0  3  0  6  0  7  2  6  7  2  7  2 10  2  2  7  7
## [19297]  8  4  2  8  4  9 11  7  4  4  9  7  8  4  3  3  3  6  9  8  8  7  4  5
## [19321]  7  8  7  7  2  7  7  3 12  0  4  8  4  6  2  6  4  1 11  4  6  2  8  2
## [19345]  8  2  9  7  7  6  6  8  3  4  6  7  7  5  1  9  8 13  6  5  6  3  4  4
## [19369]  6  7  5  5  5  4  9  4  7  2  7  7  4  6  5  3  5  6  4  4  8  6  3  3
## [19393]  2 10  7  8  6  4  7  4  4  3  1  7  6  9  6  4  9  2  5  9  7  5  7  7
## [19417]  7  9  9  7  7  7  2  6  2  7  8  6  5  7  5  5  4  4  5  2  5  2  9  9
## [19441] 11  2  4  2  7  7  6  5  4  3  4  3  5  4  7  1  6  5  7  9  4  8  4  3
## [19465]  7  4 10  3  7  6  2  5  6  9  9  4  1  3  6  3  5  8  6  3  3  5  4  5
## [19489]  9  5  8  8  2  4  1  7  4  8  3  6  5  4  8  1  5  4 10  6  4  7  5  4
## [19513]  9  7  4  6  7  3  5  7  2  5  2  2  7 11  2  5  2  1  7 11 10 10  5 10
## [19537]  9 11  5 11 12 10 11 11 10 10 11 10 10 10  9 11  5  7  6  6  8  8  7  8
## [19561]  9  5  9  4 10 10  3  3  5  7  4  6  8  8 11  8  5  6  4 11  7  2  9  5
## [19585]  5 11  5  4  8  6  5  7  9  7  4  8  4  5  4  7  6  7  5  7  8  4  6 10
## [19609]  4  5  9  0  0  4  4  7  4  3  4  7  8  8  4  8  7  4  5  6  6  3  7  6
## [19633]  6  3  7  1  4  3  4  6  7 11  5  8  8  9  8  8  9  8  5  2  4  5  8  7
## [19657]  6  2  6  5  6  4  4  5  5  8  7  6  7  5  5  6 10  5  5  5  7 10  7  7
## [19681]  8  4  9  7  5  8  2  6  3  4  7  3  5  9  6  4  2 13  5  4  5  5  4 10
## [19705]  5  7  3  9  4  1  3  7  4  6  4  2  6  9  2  6  6  6  2  5  6  6  4  6
## [19729]  5 14  3  1  6 10  5  5  4  4  6  6  8  5  6  5  6  6  5  4  5  5  5  5
## [19753]  3  9  6  7  5  5  6  7  6  5  6  4  4  7  3  5  6  8  1  3  3  7  8  9
## [19777]  9  7  6  6  5  2  5  2  3  5  3  6  3  4  3  4  2  5  8  3  6  6  4  3
## [19801]  7  9  7  5  6  1  4  7  6  4  7  5  4  8  6  5  6  5  2  8  7  5  6  4
## [19825]  8  3  4  3  2  3  8  4  3  6  6  8  4  5  4  3  9  6  4  5  6  4  7  5
## [19849]  8  6  4  6  2  7  2  2  5  2  5  8  5  2  2  4  8 10 12  5  5  6  4  4
## [19873]  5  4  4  3  7  3  4  7  7  4  5  2  4  2  6  9  7  5  7  8  9  3  4  6
## [19897]  4 10  8  4  9  1  9  6 10  6  4  8 10  4  6  4  6  3  8  4  5  4  4  7
## [19921]  8  8  6  8  4  4  7  6  5  1  7  6  6  2  6  5  2  5  4  7  5  2  2  5
## [19945]  1  6  1  8  5  6  4  8  5  7  5  6  6  5  3  5  4  9  4  4  8  7  3 11
## [19969]  7  7  3  3  6  6  8  8  7  8  9  3  8  9  9  7  7  3  7  6  9  7  8  3
## [19993]  4 10  5  5  7  5  8  2 10  1 10  6  7  3  6  5  6  3  5  7  5  6  7  3
## [20017]  1  3  4  4  7  7  3  4  4  8  6  7  7  8  8  5  5  6  4  3  8  5  1 10
## [20041]  7  8  7  9  6  2  7  3  2  7  6  3  5  9  6  5  4  6  6  7  8  6  6  3
## [20065]  7  3  2  5  2  6  5  4  5 10  2  4  7  6  2  5  6  6  8  8  8  5  5  8
## [20089]  2  9  6  3  6  2  3  5  9  4  4 10  4  4  8  6  5 11  7  9  3  5  4  5
## [20113]  7 11  6 11 10  2  6  1 10  2  2  7 11 11  7  8 11  2  5  1  2  7  5  5
## [20137] 11 11  5  5  8  7  6  3  6  7  7  7  2  5  6  7  7  6  7  9  5  3  5  3
## [20161]  8  5  9  4  6  5  9  8  3  5  3  5 11  4  9  5  8  9  5  8 10  3  9  4
## [20185]  8  9  4  6  6  7  6  7  9  5  9  5  6  5  8  6  8  2  5  7  7  2 11  6
## [20209]  6 11  3  8  6  8  7  2  9 10  5  8  3  8  5  3  2  6  4  8  6  2  4  2
## [20233]  8  8  4  3  8  6  4  5  9  7  7  5  5  9  3  3  4  6  8  5 11  3  4  3
## [20257]  7  3 10  5  3 10  6  7  4  8  5  5  8  1  7  6  6  3  2 11  6  8 11  6
## [20281]  5  3  3  6 10  3  7  6  9  4  5  3  4  3  2  1  6  2  4  2  7  8 11  3
## [20305]  5  5  7  9  4  4  6  4  4  5  3  3  8  6 14  5  7  7  3 11  3 10  3  5
## [20329]  3  9  8  2  8  8  7  5  4  1  9  4  5  5  3  8  9  3  2  0  5  0  4  4
## [20353]  9  2  6  4  6  4  0  5  3  9  5  8  7  4  6  8  3  8  8  8  8  4  3  7
## [20377]  9  3  5  2  3  8  5  4  7  5  4  6  4 11  3  5  9  7  9  5  5  5  5 10
## [20401]  8  3  5  2  6  5  5  9  7  6  4  5  6  8  7  6  5  5  7  5  4  9  7  6
## [20425]  4  1  9  7  8  5  8  5  4  6  2  7  1  6  3  5  7  7  4  6  4  8  5  7
## [20449]  6  3  4  3  7  7  8  9  8  7  6  5  7  7  6  7  3  7  3  3  7  6  6  1
## [20473]  6  6  3  4  2  6  8  7  6  3  6  8  5  6  4 11  2  6  6  7  2 11  7  7
## [20497]  8 11  1  3  8  8 12  6  7  5 11  8  7  3  9  5 10  2  5  7  8  1  5  7
## [20521]  7  5  8  7  3  5  5  7  6  7  6  3  4  4  3  5  9  7  5  4 10  4  4  2
## [20545]  3  7  9  6  6  8  8  7  5  4  6  1  7  6  3  7  5  8  6  6  7  8  6  8
## [20569]  6  7  5  7  2  3  3  7  6  3  2  4  2  8  7  4  5 10  4  4  9  2  6  5
## [20593]  6  2  3  5  4  8  5  4  5  4 11  5  6  4 10  6  6  6  5  5  1  6  1  6
## [20617]  2  5  2 10  4  4 12  4  5  4  4  3  2  5  4  7  4  8  2  7  4  5  9  3
## [20641]  6  8  4  2  8  7  1  2  5  4  6  4  9  7  7  9  9  4  2  2 10  5  3  7
## [20665]  4  7  5  5  3  5  3  5  3  5  5  6  5  6  7  4  6  5  7  9  6  7  2  5
## [20689]  5  6  3  7  3  9  9  9  4  5  8  8  7  5  9  2  1  2  6  3  2  8  5  6
## [20713]  4 10 10  7  9  3  9  4  6  5  5  2  3  3  5  6  3  8  8  3  2  3  3  5
## [20737]  3  6  4  6  3  8  3  5  6  6  6  5  8  4  5  7  5  5  8  4  8  2  6  3
## [20761] 11  3  5  4  9  7  7  2  9  5  7 11  3  8  6  6  4  3  8  7  5  5  8  6
## [20785]  4 10  7  4  6  4  2  6  4  7  8  8  5  5  7  9  7  2  5  4  2  8  5  7
## [20809]  7  5  4  5  5  7  8  5  6  6 11  2  4  2  8  5  6  4  4  3  3 12 10  4
## [20833]  2  6  6 11  8 10  6  2  3  7  7  9  7  6  5  6  5  7  7  7  5 11  3  8
## [20857]  7  3  4  7  9  3  5  2  5  2  7  2  4  7  7  2  5  1  2  7  9  5  8  8
## [20881]  7  6  6  3  5  7  3 10  7  4  8  4  8  4  6  7  6  3 12  2  8  4 10  2
## [20905]  4  8  4  5  7  5  6  7  7  4  7  8  5  5  1  6  7  2 10  5  6  7  6  2
## [20929]  2  9  2  7  3  6  7  9  2 11  4  3  4  7  4  7  8  5  6  4  5  7  4  6
## [20953]  6  4  8  2  5  3  4  8  9  6  5  6  8  9  7  6  6  5  5  1  4  8 11  6
## [20977]  5  6  6  5  5  7 14  6  5  2  7  8  6  4  7  8  5  6  8  8  5  5  7  5
## [21001]  4  7  5 11  8  7  5 10  2  7  8  3  4  6  3  5  4  7  6  3  7  5  4  3
## [21025]  3  6  5  4  6  6 10  7  2  3  5  4  4  4  5  4  5  2  8  9  6  2  3  7
## [21049]  5  8  6  8  6 11  4  5  5  3  6  3  5  6  3  1  5  2  6  3  5  7  1  8
## [21073]  6  4 12  6 10  8  1  6  1  4  4  6  7  6  2 10 10  6  6  2  7  3  7  2
## [21097]  8  4  4  6  8  9  6  9  8  4  3  4  6  6  7  6  5  3  5  8  1  8  7  4
## [21121]  7  4  3  9  7  8  6  6  6  9  7  8  3 10  5  7  5  7  9  6  7  4  3  5
## [21145]  6 10  5  6  4  7  9  6  7  6  9  4  3  6  9 10  2  7  9  6  8  5  4  8
## [21169]  7  7  6  4  7  7  5  7  8  7  5  3  4  1 10  7 10  4 11  4  8  2 11  7
## [21193]  4 10  3  3  7  7  4  9  5  4  1  5  9  4  5  7  4  9 11  6  6  3  4  4
## [21217]  5 10  5  8  7  5  5  7  9  0 10  5  9  3  9  5  5  6  3  7  8  7  5  3
## [21241] 10  3  4 11  2  8  7  4  2  3  3  7  8  3  2  8  6  4  6  8  4 10  4  9
## [21265]  6  4  8  4  6  8 10  8  6  7  9  1  2  3  6  4  6  8  5  2  4  5  6  6
## [21289]  7 10  9  8  5  8  6  8  8  7  8  8  7  8  7  7  5  7  4  8  9  6  3  4
## [21313]  6  6 11  8  4  7  7  2  6  7  5  4  7  4  4  5  6  4  4  6  8  8  2  4
## [21337]  8  7  6 10  4  8  3  6  4  9  4  7  8  3  6  9  5  6  3  4  8  1  4  5
## [21361]  4  4  5  9  5  6  7  9  4  5  2  3  9  6  5  2  1  7  6  7  8  8  7  7
## [21385]  9  2 10  7  7  7  7  7  7  7  7  7  9  7  3  9  3  4  2  4  3  8  6  5
## [21409]  5  2  2  4  9  8  9  8 10  8  8  2  3  4  5 10  6  5  7  5  5  9 12  6
## [21433]  3 11  5  8  1  5  8  6  7  2  8  5  5  6  4  6  6  4  8  5  9  5  4  4
## [21457] 10  5  5  5  7 10 11  3  6  6  6  5  4  8  8  2  7  4  7 10  4  7  5  7
## [21481]  5  2  2  2  9  6 10  8  3  4  8  2  2  6  6  1  8  8  4  8  3  9  4  6
## [21505]  5  3  7  7  9  8  7  6  4  1  2  3  4  1  6  4  4  4  4  8  2  6  5  2
## [21529]  6  4  3  9  7  2 10  3  6 10  7  6  5  9 11  8  9  7  5  8 10  9  8  7
## [21553]  3  7  7  9  8  2  9  5 10  8  3  2  7 11  3  6  7  4 12  5  3  7  9  9
## [21577]  4  7  2  9  8  7  8  8  8  9  9  6  4  5  5  4  6  4  6  6  5  1  1  5
## [21601]  7  7  7  3  6  4  7  2 10  6 10  5  8  6  5  4  8  4  3  5  4  4  5  3
## [21625]  2  2  8  7  8 11  2  5  2  1  2  7  7  6 11  4 10 11  2  3  3  7  7  6
## [21649]  5  4  5  5  6  4  6  7  7  7 10  8  7  6  3  6  6  7  6  2  6  8  8  7
## [21673]  5  7  6  5  7  3  4  6  7  5  6  3  7 10  3  6  6  4  2  5  8  8  3  5
## [21697]  9  7  8  7  8  5  6  2  2  8  9  6  3  3  4  8  6  9  5  6  6  5  3  7
## [21721]  6  5  9  4  1 11  5  8  2  5  5  8 10  7  8  4  5  7  4  9  6  6  4  9
## [21745]  3  7  4  4  6  4  6  8  9  5  7  6  5  6  7  8  8  7  9  8  1  2  6  5
## [21769]  3  3  5  5  5  7  4  9  3  9  8  4  3  5  3  6  8  7  7  4  6  5  4  3
## [21793] 10  8 11  7  7  2  9 10  8  2  8  7  8  9 11  4  6  3  6  4  4  5  4 11
## [21817]  8  8  6 12  9  2  1  2  8  2  8  6  2  7  5  6  2  3  3  3  7  7  5  3
## [21841]  7  7  7  3  6  5  4  7  2  6  1  6  5  8  4  6  8  6  2  7  8 10  8  6
## [21865]  5  4  9  5  8  7  9 11  3  7  7  9  7  8  2  4  3  6  5  8  5  6  8  7
## [21889]  2  9  8  8  8  6  5  8  9  7  9  1  8  5  8  1  7  9  8  4  7  5  7  5
## [21913]  5  5  8  5  8  1  5  4  4  2  9  4  9  9  8  8  2  4  6  3  4  4  4  4
## [21937]  8  4  6  6  2  5  7 11  7  7  5 10 10  4  8  2  3  8  7  7  5  4  7 11
## [21961]  8  4  7  7  7  8  9  5  4  6  6  7  4  6  2  5  9  8  4  9  7  4  8  8
## [21985] 11  3  7 10  9  2  4  2  6 13  5  6  4  7  6  6  1  4  5  6  9  6  7  6
## [22009] 10  6  6  7  6  3  6 11  6  9  8  8 12  9  4  7  8  7  6  6  7  8  9  4
## [22033]  9  7 11  4  7  4  3  9  3  7  4  5  4  5  5 10  5  7  7  2  7  3  8  4
## [22057]  6  8  4  7  6  5  3  2  5  5  7  9  7  6  4  2  4  6  6  2  7  2  2  5
## [22081]  9  3 10  9  4  9  4  6  2  5  5  5  7  3  4  2  4  5  4  4  7  3  4  4
## [22105]  5  5  5  7  3  6  5  7  5  7  7  4  7  8  6  4 11  6  8  3  7  4  6  9
## [22129]  5  9  6  6  5 11  4  2  5  5  5  3  5  3  7  5  3  4  4 10  3  7  3  4
## [22153]  2  9  8  8  6  5  6  7  3  8  6  7  7  7  4  3  7  3  1  3 12  6  8 10
## [22177]  4  7  1  5  8  9  6  5  8  3  6  9  6  3  7  2  3  7  8  4  5  9  8  1
## [22201]  2  3  2  6  4  8  7  9  2  5  8  9  4  5  8  8  1 12  6  7 11  7  6  6
## [22225]  8  4  2  7  8  4  5  9  5  8  3  3  7 11  4  7  7  8  7 11  7  2  5  9
## [22249] 11  5  8  9  5  7 12  5  7  9  9  6  7  7  2  3  9  4  8  1  7  5  9  7
## [22273]  2  8  6  3  2  3  6  5  2  5 11  9  4  6  1  1  9  7  7  7  7  5  6 10
## [22297]  7  7  4  5 11  3  9  7  3  8  9  9  2  7 11  4  7  4  9  6  6  3  8  6
## [22321]  5  5 11  3  6 12  3  2  5  6  6  8  8  3  3  6  4  5  5  8  5  8  8 11
## [22345]  3  5  6  7  5  4  2  6  4  2  2  3  2  5  7  5  1  3  3  3  4  9 11 10
## [22369]  6  3  8  4  9  6  5  6  7  5  8  6  3  4  3  7  3  5  5  9  8  5  8  7
## [22393]  7  7  3  7  9  3  1  3  5  5  6  8  4  4  3  2  2  7  5 10 11  8  7  5
## [22417]  6  4  7  5  6  6 10  5  7  9 11  5  5  7  6  7  9  7  5  5  5  4  7  1
## [22441]  6  8  8  4  6  9  3  7  3  3  8  5  2  9  2  6  4  5  5  3  3  3  8  4
## [22465]  5 11  5  9  4  6  4  4  2  3  5  4  9 10  7  1  4  2  8  2  8  9  7  7
## [22489]  7  7  7  5 11  8  4  3  8  6  9  6  2  2  9  5 10  5  2  6  6  6  9  9
## [22513]  4  4  3  7  6  7  7  7  5  7  3  4  4  4  4  2  7  5  4  8  5  5  3  4
## [22537]  5  6  4  4  7  6  5  5  6  6  2  7  6  5  9  6  4  4  7 10  4  8  6  6
## [22561]  8  7  9  7  6  4  3  8  5  7  8  5  7  3  2  7  6  2  6  3  5  6  5  9
## [22585]  5  8  5  9  8  2 11  7  5  5  8  0  7  3  6  6  7  7  7  7  7  7  7  6
## [22609]  7  7  7  5  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7
## [22633]  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  4  7  7
## [22657]  7  7  7  7  7  7  7  7  7  7  7  7  4  7  7  7  7  7  7  7  7  7  7  7
## [22681]  7  7  6  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  4
## [22705]  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7 11  7  7
## [22729]  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  7  6  7
## [22753]  7  7  7  7  7  7  5  7 11  7  6  2  8  5  8  6  6  7  4  8  5  2  3  4
## [22777]  7  9  6  4  8  5  4  5  6 10  6  2  6  5  7  5  5  7 10  4  4  4  7  6
## [22801] 11  6  4  7  9  3  4  8  4  6  6  3  9  5  7  7  5 10  5  7  6  8  5  7
## [22825]  5  5 10  5  4  5  5  8  7  5  6  2  8  6  7  4  7  6  4  6  3  7  3 10
## [22849]  8  6  6  7  4  6  2  5  6  7  5  3  6  3  2  5  7  3  5  7  8  8  3 12
## [22873]  4  5  4  2  7  4  6  1  5  4  5  6  4  6  4 11 11  2  7  7  8  8 11 11
## [22897]  8  4  6  6  9 10  3  6 11  6  4  6  2  9  8  9  5  3  4  5  4 10  5  8
## [22921]  5  4  6  4  4  2  2 10  2  4  6 11  6  3  7 11  4  5  5  7  9  8  9  9
## [22945]  2  6  8  4  4  7  6  3  7  2  6  7  4  7 12  6  6  6  7  5  5  5  9  7
## [22969] 10  5  5  8  7  5  2  6  6  8  5  3  3  7  5 10  8  4  8  3 10  2  4  7
## [22993]  4  9  4  5 11  3  7  5  8  9  7  4  2  5  6  5  5  9  6  7  5  1  3 10
## [23017]  8  9  9  3  8  4  7  5  9  7  5  6  6  8  7  7  6  6  4  7  6  4  2  7
## [23041]  5  7  6  4  5  7  3  7  9  6  8  3  3  9  1  4  5  8  5  1  4  4  5  7
## [23065]  4  9  5  7  3  4  5  6 10  7  4  5  2  7  6  5  4  3  4  9 10 11  1  3
## [23089]  7  3  5  7  8  7  9  9  5  5  6  5  4  1  4  7  4 11  3  8  3  4  7  5
## [23113]  5  7  8  8  9 10  9  4  9  6  4  9  8  9  4  1  4  7  6 11  7  4 10  4
## [23137]  4  5  3  7  2  5  1  2  7  5 10  3  7  7  4  5  7  5  6  2  6  5  5  6
## [23161]  4  2  8  6  3  8  4  9  7  6  4  4  8  8  4  3  5  7  7  6  5  3  5  7
## [23185]  8  5  5 10  4  2  7  6  6  7  2 11  7  6  1  7  2  7  6  6  7  4  9  7
## [23209]  5 10  6  9 11  5  5  8  5  5  2  5  5  5  7  4  9  7  6  6  4  8  7  3
## [23233]  3  7  3  3  7  6  6  7  6  6  4  7  5  4  8  4  7  5  5  2  7  5  7  4
## [23257] 12 12  5  2  8  6  2  9  6  8 10  4  8  4  1  7  6  7  2  5 11  6  4 10
## [23281]  4  4  5  5  5  8  4  8 11  5  1  7  3  3  4  9  7  5  7  7  8  8  9  6
## [23305]  4  9  1  8  5  7  5  6  7  2  5  4  7  7  6  4  6  8  3  7  7  6  4  5
## [23329]  5  5  6  6  4  5  8  1  9  6  7  5  8  3  5  5  7  8  6  5  6  7  9 10
## [23353]  7  6  3  6  9  5  6  4  4 13  9  3  6 10  5  4  4  6 12  5  9  5  7  3
## [23377]  6  4  3  6  4  8  5  3  7  5  6  5  5  7  6  1  5  6  3  6  5  4  4  4
## [23401]  4  7  2  7  5  6  6  3  8  6  6 11  9  3  8  8  6  4  5  5  3  2  5  1
## [23425]  6  2  3  5  4  4  5  5  5 10  7  2  3  5  3  9  8  5  4  3  8  6  7  6
## [23449]  4  8  1  4  6  8  7  5  5  5  5  6  6  5  5  7  4  7  5  6  7 12 10 10
## [23473]  7 10 10 10 10  6  7 11 11 11  4  4 11 10 10 11  5 11 10 11 11  5  5  3
## [23497]  3 11 11 10 10 10 11 10 11 11 11  6  3  6  3 11  6  4  9  5  4 11  4  8
## [23521] 12  6  3  3  4  2  6  4  6  6  7  4  8  6  4  7  7  8  9  5  3  6  5  9
## [23545]  7 13  4  3  3  9  4  9  9 10  3  5  9  9  9  9  2  9 10  9  5  7  8  5
## [23569]  8  3  7  5  3  2 11 10  5 11  8 11 11 10  2  6  4  3  5 12  6  8  5  8
## [23593]  8  5  5  1  8  2  7  7  4  6  9  8  5  3  6  7  3  7  7  5  7  8  5  9
## [23617]  2  6  7  9  5  2  6 12  3  6  5  8  3  5  6  7  1  8  2  4  3  2  3 10
## [23641]  9  2  7  5  3  9  6  8  4 12  4  9  1  6  1  5  7  8  3  3  9  4  7  7
## [23665]  7  7  8  9  5  6  8  6  6 10  4  8  7  2  7  4 10  1  4  7  5 11 10  8
## [23689]  6  6  6  6  5  6 11  6  8  4  6  4  5  7  5  5  8  4  4  4  7  9  5  6
## [23713]  8  5  4  8  6  1  7  7  4  3  7  8  8  7  9  7  9  5  7  3  7  3  7  4
## [23737]  5  2  5  8  6  3  4  2  5  9  8  9  3  8  4  6  5  5  8  5  5  3  7  4
## [23761]  3  9  6  6  2  6  3  2  7  2  6  7  6  0  5 11  4  8  9  3  7  1  2  7
## [23785]  6  5  4  3  4  6 14  5 13  9  8  6  8  6  3  3  5  7  4  6  8  7  5  6
## [23809]  5  6  1  7  8  5  1  7  7  9  3  8  5  5  4 10  3  7  8  4  9  3 11 11
## [23833] 10  3  7 10  9 13  5  4  8  3  1  8  4  1  3  4  0  7  7  3  3  4  4  6
## [23857]  5  5  3  3  5  4  5  6  5  2  5  8 11  5 10  5  5  7  6  3  4  1  3  7
## [23881]  5  7  2  6  4  8  2  3  9  7  4  4 10  7  9  4  6  4  6  9  3  3  7  3
## [23905]  4  7  6  5  9  5  7  7  9  5 11  3  7  5  4  6  9  2  5  2  8  7  5  7
## [23929]  8  9  6  4  6  8  4  5  6  9  7  5  6  7  4  6  5  9  9  9  8  5  7  9
## [23953]  7  5  4  9  2  9  6 11  8  8  4  5  5 11  5  2  4  6  8  2  7  8  7  3
## [23977]  7  5  5  7  6  5  8  3  5  5  7  3  2  6  8  5  5  9 11  8  8  4  7  4
## [24001]  5  5  2  7  7  5  8  8  9  7  7  8  2  8  7  4  7  4  6  9  7  6  6  8
## [24025]  6  9  4  6  6  5  7  5  7  6 10  5  6  6  9  7  7  8  7  4  6  4  3  2
## [24049]  6 10  3  3  6  4  2  7  6  9  8  3 10  8  4  4  4 10  3  6  7  6  5  9
## [24073]  4  3  0  7  8 11  9  7  5  4  4  6  3  3  3  8  4  5  4  5  5  4  6  4
## [24097]  9  8  1  5  7  6  5  6  8  5  5  5  7  2  7  3  9  3  4 12  9  6  4  2
## [24121]  5  6  5  3  5  6  4  3  2  4 10  4  9  9  6  4  4  4  8  9  6  6  5  4
## [24145]  9  6  8  3  8  5  6  8  3  9  6  7  6  5  8  6  8  3  1  2  9  7  4  4
## [24169]  4 10  6  6  7  6  7  5  5  9  3  7 11  8 11  5  4  4  5  4  5  5  6  6
## [24193]  6  3  1  1  5  6  2  3  4  4 10  5  4  4  7  3  1  2  8  6  8  6  7  5
## [24217]  6  3  6  2  8  5  8  2  4  9  9  5  8  8  7  6  5  3 11  4  8  2  2  6
## [24241]  6  7  9  3  5  6  7  2  2  5  5  7  5  7  6  5  6  9  9  8 10  8  6  3
## [24265]  7 10  9  2  6  6  2  5  5  3 10  7 14 11 10  6  5  4  9  6  2  5  7  7
## [24289]  8  7  8  6  1  4  6  8  4  6  5  1  5 10  7 11  8  4  7  6  5 11  8  4
## [24313]  9  7  7  8  1  5  4  4  7  2  6  6  7  2  6  6  5  9  3  3  4  7  7  7
## [24337]  5 11  6  7  9  7  4  3  3  7  7  2  3  3  7  4  7  9  7  4  2  2  6  4
## [24361]  7  2  7  5  6  3  4  7  5  4  6  4  5  3  4  5  4  4  9  4  7  4  5  3
## [24385]  7  7  6  8  6  5  9  2  7  5  5  7  5  4  4  4  6  6  5  5  4  6  4 10
## [24409]  6  2  9  5  6  4  5  6  6  4  8  9  6  8  5  6  6  6 10  6  9  4  4  5
## [24433]  5 11  8  3  6  1  5  4  7  4  4  3  3  6  1  3  1  3  7  7  4  3  5  4
## [24457]  4  5  7  6  7  2  4  5  5  7  3  5  7  8  2  5  5  8  6  6  5  4  7  4
## [24481]  4  4  4  8  3  0  8 10  6  4  9  7  5  3  4  7  5  4  5  5  2  2  7  5
## [24505]  6  3  7  7 10  1  7 11  4  6  6  4  5  6  6  5  7  4 11  5  5  5  6  4
## [24529]  2 11  5  8  7  5  8  7  7  7  5  6 11  7  4  7  7  2  8  6  9  4  5  5
## [24553]  5  4  1  5  5  9  5  1  7  2 10  6  5  3  8  7  4  7  9  6  7  6  8  3
## [24577]  4  6  8  3  6  5  6  8  7  6  5  7  6  5 10 10  3  6  3  8  7  9  5  6
## [24601]  6  8 11  4  4  3  9  3  5  5  6  9  7  5  5  6  6  5  3  7  9  2  6  3
## [24625]  6  2  7  9  8  6 10  8  8  7  7  4  8  8  8  4  5  6  4  4  5  4  4  2
## [24649]  7  4  5  7  7  4  4  5  8  3  7  3  8  6  7  7  5  7  9  5  6  4  8  4
## [24673]  3  7  8  7  4  3  7  7  6  7  9  6  9  5  9  2  1  9  8  6  4  9  6  9
## [24697]  3  7  3  4  6  2  6  7  1  5  3  5  8  9  4  4  6  9  4  3  4  7  3 10
## [24721]  6  7  7  6 10  7  8  7  4  6  9  7  1  7  5  3  6  7  6  5  6  9  7  2
## [24745]  8  4  6  6  8  2  9  8  4  2  6  7  8  3  4  4  2  2  1  2  6  6  8  3
## [24769]  6  5  6  2  9  7  9  3  9  4  5  4  4  6  9  2  4  5  5  7  4 11  8  4
## [24793]  7  4 11  9  3  4  3 10  5  8  7  3 10  4  6  6  7  8  3  4  5  6  9  9
## [24817]  5  3 11 11 11  9  8 10  8 11 11  3 11  5  6  7  3  4  6  4  5  8  7  8
## [24841]  3  2  9  8  7  8  8  5  5  7  6  4  9  3  3  7  7  4  6 10  7  6  6  4
## [24865]  3  4 11  5  9  4  5  2  3  3  3 10  7  2  2  5  7  9  6  6  8  9  2  8
## [24889]  7  7  5  8  9  5  5  5  5  5  8  2  9  6  2  7  7  8  6  9  8  4  6  5
## [24913]  3  8 11  5 11  7  6 10 11 10 11 11 10 10 10 11 11 10 10 10 11  9 11 10
## [24937] 11 11  9 11 10  9 10 10 11 11 11 11 11  4 11 10  8 11  9 10 11 10 10 11
## [24961] 11  7 11 11  7  4  6  7  5  2  6  1  6  8  3  5  7  8  7  5  7  3  4  9
## [24985]  2  6  7  5  3  7  7  6  7  7  5  5  3  5  7  8  6  9  5  2  5  5  8  6
## [25009]  8 10  4  5  6  4  6  5  7  1  8  3  6  8  4  8  9  9  8  2  5  7  8  8
## [25033]  8  2  7  8  5  9  1  7  9  6  4  9  9  8  6  7  4  7  7  6  4  5  5  4
## [25057]  4  5  4  6  6  7  6  4  2  6  7  7  5 10  4  7  2  4  8  3  8  3  3  6
## [25081]  4  6  8  7  9  6  8  2  8  3  5  8  3  7  6  8  7  3  4  8  5  9  6  3
## [25105]  6  3  4  6  5  7  8  9  5 10  7  5  4  6  6  3  6  6  4  4  6  6  7  5
## [25129]  7  8  5  7  4  8  3  5  5  6  5  7  3  8  9  5  9  5  7  8  6  6  6  8
## [25153]  9  4  5  4  2  8  7  4  6  6  8  9  5  5  8  7  3  8  6  8  2  6  4  7
## [25177]  6  7  3  5  6  4  5  7  7  8  6  2  5  8  3  3  3  7  4  7  2  9  6  7
## [25201]  9  7  4  7  8  5  9  6  7  6  9  9  7  6  8  3  5  3  5  6  7  7  7  4
## [25225]  2  7  7  9  6  3  8  7  4  5  4  5  7  5  4  6  3  3  7  3  3  7  3  3
## [25249]  3  3  3  2  3  3  3  3  3  3  3  8  4  9  7  8  6 10  7  2  3  8  6  9
## [25273]  6  8  5  4  7  6  5  5  9  5  8  7  7  3  6  6  7  2  7  3  9  2  1 10
## [25297]  9  7 10  8  3  3  8  3  6  5  3  6  2  5  1  4  8  9  5  6  3  6  6  8
## [25321]  8  8  8  6  6  8  7  6  9  5  8  5  7  7  7  5  8  1  6  8  6  4  8  5
## [25345]  6  3  8  9  3  8  5  2  4  4  9  3  9  5  7 12  3  5  7  4  3  4  7  8
## [25369]  8  6  4  8  5  6  3  7  8  1  4 11  2  6  5  5 13  8  7  6  6  8 11  3
## [25393]  7  5  4  6  3  7  6 10  5 10  5  8  1  5  7  7  4  7  9  7  7  5  9  7
## [25417] 11 11 11 10 10  4  6 11 10 10 11  5  8  8  3 11 11  8 10  6 11  5  4 11
## [25441]  7 11 10  8 11 11 11 10 10  8 11 11 10  8  8  8 11 10 11  4 11  8 10  8
## [25465] 10 10  4  8  8 10 11  7  8  8  8  8  8  7 10 11 11  5  6  6  5  2  3  6
## [25489]  4  9  7  7  1  5  3  8  5  7  4  4  8  7 11  6  7  6  4  2  7  4  2  7
## [25513]  4  6  6  6  8  4  4  5  5  7  8  6  2  4  6  7  5  6  3  4  6  5  6  5
## [25537]  6  6  9  5  6  3  2 10  9  7  5  7  5  2  2  5  5  2  4  9  6  9  2  8
## [25561]  4  1  7  5  2  8 12  5  3  7  6  6  5  6  4  7  7  5  4  6  2  7  9  7
## [25585]  9  8  8 10  5  4  9  5  3  2  3  4  3  9  1  6  9 11  8  4  7  4  3  5
## [25609]  7  3  4  4  5  8  5  6 10  5  4  4  5  7  6  4  8  3  4  3  6  9  8 12
## [25633]  1  5  8  2  3  9 10  6  6  2  5 11  3  5  8  4 11  7  8  4  8  8  7 10
## [25657] 11  8 11 10 11 10 10 11 11 11  8 11  8 11  7 10 11  8 11  8  8 10 11  8
## [25681]  8  9  8  9  9  9  8  7  7  9  8 11  8 10  2  8 10  7  7  8  8 11  6 11
## [25705]  8  8  9 11 11  9  5  2  9  4 10  8  9  5  8  8  9  4 12  2 10  9  7  3
## [25729]  3  7  9  6  5  8  4  5  9  4 10  3  4  8  7  7  7 11  6  5  5  3  3  3
## [25753] 11  8  4 10  3  9  7  7  3  4  3 10  2  5  4  4  6  4  3  6 11  8 11  8
## [25777] 10  8  7  5  9  7  3  5  0  8  4  5  9  3  4  6  7  5  7  4  7  3  6  6
## [25801]  5  4  5  5  5  0  6  7  7  6  4  7  1  5  6  5  6  3  4  2  4  6  4  5
## [25825]  6  6  6  6  6  5  8  5  7  5  8  6  6  2  3  5  7  5  7  6  6  6  4  3
## [25849]  8  3 10  7  6  7  3  4  6  7  4  3  4  7  8  3  8  5  7  5  5  4 10  6
## [25873]  3  6  9  3 10  7  4  7  6  6  5  3  8  4  2  4  6  8  9  2  1  8  4  6
## [25897]  7  4  7  5  8  6  8  3  3  7  3  6  5  8  9  8  8  7  2 10  7  7  4  8
## [25921] 10  4  4  7  4  5  5  5  2  7  5  7  5  8  7  5  6  7  7  6  7  7  6  7
## [25945]  5  8  2  5  2  7  4  7  4  8  6  6  9  4  5  9  9  3  3  7  3  7  4  7
## [25969]  7  7  3  2  8  6  4  5  7  5  4  7  2  4  6  7  4  4  7  9  6  6  6  2
## [25993]  4  6  9  7  5  1  4  5  9  5  5  8  8  6  7  8  5  9 12  5  1  9  5  7
## [26017]  4  9  5  5  3  6  6  6  6  6  8  7  7  9  4  7  6  4  8  6  6  6  6  9
## [26041]  9  6  5  3  6  5  5  4  3  4  8  3  6 11  4 12  3  7  5  8  3  6  3  7
## [26065]  8 10  7  5  6  4  7  3  3  3  4  6  4  8  8  8  5  7  8  9  8  8  5  6
## [26089]  8  1  6  6  6  3  5  6  3  3  7  5  4  7  9  5  2  8  7  6  4  4  7  5
## [26113]  3  2  8  8  4  3 11  7  8  9  8  3  5  8  5  6  7  7  6 11 11  4 11  5
## [26137]  5  6  4  9  6  6  8  2  6  9  5  3  9  9  6  7  6  4  6  4  5 10 13  6
## [26161]  8  7  8  7  7  7  1  4  6  2  8  8  7  5 11  4  9  5  5  7  2  7  6  4
## [26185]  4  8  4  6  5  7  7  2  7  4  5  5  7  6  7 10  3  7  2  6  6  8  1  7
## [26209]  7  4  3  9  4  1  5  9  7  7  2  7  6  4  4  4  3  6  6  6  7  8  7  9
## [26233]  4  2  3  5  2  8  5  2  8  3  5  6  7  2  8  5  7  5  6  3  6 10  4  9
## [26257]  4  8  5  6  6  5  8  4 12  7  2  4  7  7  7  2  6  6  5  7  5  6  4  4
## [26281]  7  1 10  8  5  7  2  5  8  4  3 10  3  2  4  4  6  4  4  6  6  4  8  7
## [26305]  2  1 10  6  3  6  4  6  4  3  4  4  3  7  7  6  4  4  2  5  5  7  4  7
## [26329]  3  2  3  1  2  6  6 11  7 11  7  8 10  8 10  3 11 11 11  3 11 10  6 11
## [26353] 11  3 11  7 11  9  8  1 11 10 11  7 11 11 11 11  4  2  8  8  2 11  3  8
## [26377]  8 11 10 11 11  7 10  5 11 12  8 11 11  6  8  7  8  7  5  8  7  3  7  6
## [26401]  9  2 10  7  3  7  6  3  7  3  6  7  5  8  5  9  6  7  6  5  4  3  7  2
## [26425]  2  6  6  8  6  8  4 12  4  4  6  4  8  3  4  6  4  6  7  5  8  8  7  6
## [26449]  8  7  3  3  5 12  8  9  7 11  8  8  8  8  8 12  6  4  8  4  6  6  3  8
## [26473]  5  7  4  6  9  6  9  2  4  7  9  9  4  9  8  7  3  5  4  5  4  8  5 10
## [26497]  3  6  9  6  4  4  2  5  8  5 10  9  9 10  8 11  5  4 11 10 10 11 11 10
## [26521] 11  6 10 10 11 10 10  7  9 11 11 11 11 11 10 11 10 11 10 11 11 10 11 11
## [26545]  8  6  2  9 10  3  5  7  5  9  6  6  6  6  7  4  4  6 12  5  5  5  7  6
## [26569]  7  9  7  8  3 10  5  6  5  5  6  5  8  3  3 10  6  4  1 11  9  9  5  7
## [26593] 11  8  5  5  2  6  5  5  3  7  5  8  4  8  9  4  3  2  5  7  3  4  8  9
## [26617]  6  4  5 10  6  7 10 11 11 11 11 10 11 10 11 11  6 10 11 11 11 10 10 10
## [26641] 11 11 10 11  9  7 11 10 10  8  7  1  4  7 11 11 11 11  9 11  2 11 11  3
## [26665]  4  7  1  1  6  5  5  4  5  3 12  2  7  5  6  7  5  4  6  5 10  9  5  9
## [26689]  5  3  8  9  1  5  9  4  5 10  8  3  3  6  3 10  5  7  7  3  7  3  3  4
## [26713]  4  6  7  5  2  5  5  4  7  1  2  4  5  3  4  7  5  6  3  7  4  8  1  1
## [26737]  4  2  7  3  9  1  7  8 13  3  1  2  5  5  2  6  4  1  4  2  2  2  2  2
## [26761]  2  3  4  4  5  6  3  9  4 14  4  9  6  3  6  8  4  3  7  7  4  5  3  5
## [26785]  9  5  6  6  7  5  9  9  4  5  9  5  5  4  4  4 11  3  4  5  3  8  8  4
## [26809]  7  7  7  5  8  4  5  8  7  5  5  4  6  4  7  7  8  9  9  6 11  4 10  8
## [26833]  5  6  7  7  5  8  6  7  5  3  6  6  5  5  7  5  8  4  4  5  8  4  5  7
## [26857]  6  7  5  5  6  6  7  4  2  2  5  5  5  4  6  4  8 10  6  4  7  6  6  8
## [26881]  4  2  6  5  7 10  2  7  6  6  3  9  3  3  2  3  8  5  8  6  9 10  7  6
## [26905]  9  3  7  7  5  7  4  7 13  8  7  7  7  6  7  6  6  7  5  8  5  9  8  4
## [26929]  2  5  6  9  8  1  4  7  6  6  5  6  3  8  7  9  6  8  8  3  2  5  5  8
## [26953]  7  7  7  4  3  5  8  4  2  8  4  4  5  5  7  2  8  9  7  4  5  6  2 11
## [26977]  6  3  7 10  7  4  8  6  5  8  2  3 11  6  7 11  8  6  5  6  6  8  5 10
## [27001]  4 10  6 12  9  2  6  5  8  3  1  3  6  4  7  6  3  7  6  8  4  6  8  5
## [27025]  4  6  7  6  6  3  5  4  1  8  5  6  3  9  6  4  5  7  9  2  4 12  5  7
## [27049]  4  3  5  5  7  7  8  5  9  5  8  5  5  7  7  5  3  6  9  2  7  6  6  8
## [27073]  6 11  7  6  9  5  9  8 10  3  6  6  6  4  5  5  6  9  4  6  5  7 12  7
## [27097]  9  8  2  6  7  3  3  9  8  5  6  8  8  8 10  7  5  4  1  8  5 10  6 10
## [27121]  5  5  8  9  9  4  4  5  6  8  7  4  5  8 10  7  5  8  3  6  5  6  2  3
## [27145] 10  3  5  4  9  7  4  4  8  7  7  7  9  2  8  7  5  3  9  8  3  7  5  2
## [27169]  4  8  4  4  9  7  4  6  8  3  5  8  8  7  3 10  6  2  8  8  6  5  4  5
## [27193]  4  4  6  5  5  8  6  5  5  5  8 10  8  6  8  6  8  6  5  8  5  5  6  6
## [27217]  5 11  9  6  0  3  6  7  2  8  4  7  3  1  4  6  5  9  4  8  8  6  4  7
## [27241]  8  9  4  4  2  3  5 10  5 10  4  6 10  7  7  7 10 10  6 12 11 10  9  5
## [27265] 11  6 11  3  6  2  6  4  4  3  9  1  4  9  7  3  8  7  5 10 10  4  8  6
## [27289]  2  8  9  4  5  2  8  4  7  7  7  5  5  6 10  7  5  5  8  7  3  5  9  4
## [27313]  7  2 10  3  8  8  8  3  6  8  7  7  7  8 10  3  6  7  3  3  6  3  4  8
## [27337]  8  9  4  5  7  3 11  9  3  9  5  7  8  8 11 10  4  7  3  4  5  5  4  4
## [27361]  5  3  2  3  7  7  3  8  5  3  2  7  7  9  7  4  5  5  3  7  8 10  4  4
## [27385]  7  3  4  7  7  5 11  6  5  9  2  4  3  7  8  5  5 12  5  3  6  2  6  4
## [27409]  7  5  5  8  7  4  5  0  9  1  8  6  3  6  8  8  8  6  5 10  5  3  7  5
## [27433]  9  3 10  5  5  4  8  5  6 10  5  2  5  8  4  4  2  2 11  5  5  7  4  6
## [27457]  3  4 12  5  6  6 12  4  5  1  4  6  7  5  8  8  5 10 10  6  4 10  7  9
## [27481]  8  3  6  3  5  3  5  5  7  5  5  6  6  5  6  6  6  8  5  4  6  8  8  4
## [27505]  6  5  6 11  9  8  6  4  7  2  4  9  7  2  4  6  3  8  5  8  3  7  2  6
## [27529]  4  7  7  3  8 10  8  4  7  7  2  7  4  2  5  4  4  6  5  8  6  8  1 11
## [27553]  4  6  6  9  6  4  3  3  3  4 10  3  6 10  6  2  2  9  6  6  7  7  4  3
## [27577]  5  6 10  6  6 10  9  3  7  9 11  4  5  5  9  8  2  8  5  5  6  8  4 11
## [27601]  8  4  4  6  7  7  6  2  8  9  7  6  3  3  6 12 11  8  5  5  4  5  5  2
## [27625]  7  5  7  7 11  8  7  2  5  3  8  4  7  6  4  8  4  2  6  4  5  7  3  5
## [27649]  3  8  7  7  5  4  8  8  8 10 10  8  4  4  6  4  7 10  6  3  3  5  4  1
## [27673]  9  8  3  5  4  3  5  4  3  6  4  4  5  7  7  6  2  8  5  7  6  7  4  7
## [27697]  6  8  2 10  9  6  7  7  6  3  8  8  7  9  6  5  6  4  6 11  4  6  6  8
## [27721]  3  7  4  5  5  5  4  8  5  6  4  7  8  6  7  7  7  7  8  3  6  1  6 12
## [27745]  8  5  8  6  6  2  4  6  9  8  4  5  5  5  7  8  6  8  8 12  7  4  3  6
## [27769]  5  7  5  5  4  5  9  6  2  5  5  7  4  4  6  6  4  6 13  6  7  4  9  4
## [27793]  5  3  6  4  6  9  4  9  2  7  5  5  5  8  9  8  7  9  9  3  7  5 10  8
## [27817]  8  5  7  4  5  6  3  8  9  6  5  3  4  8  6 12  8  7  5  3 10  8  5  8
## [27841]  6  5  6  7  5  5 10  6  5  5  4  5  4  8  8  5  4  6  7  6  8  5  3  4
## [27865]  2  6  4  5  3  6  8  4  7  5  6 10 10  4  5  4  3  3  6  3  4  4  6  8
## [27889]  6  3  5  5  8  7  6  6  3  9  3  9  2  6  3  8  6  9  2  9 12  6  5  8
## [27913]  4  7  5  3  7  7  7  3  3  6  3  7  8  5  3  6  7  3  8  2  4  4  7  8
## [27937]  4  8  7  8  6  5  5  8  7  8 10  7  7  9  0  6  8  8  5  5  7  9  7  4
## [27961]  2  8  7  4  7  6  8 10  6  7 11  8 11  5  7  7 11  2 10 11 10 11 11 12
## [27985]  6  7  8  9  8  4  8  8 11  8 11  8  5  6  4  2  8  4  7  6  2 11  9  2
## [28009]  3  4 11 12  5  5 11  8  8  6  6  7  5  9  7  7  6  7  8  8  3  6  6  8
## [28033]  6  6  5  6  7  7  5  6  8  4  3  9  8  7  7  6  3  2  5  4  2  7  3 11
## [28057]  2  3  7  7  1  6  4  6  5  5  7 10  7  3  5  8  4  8  9  5  8 10  6  6
## [28081]  7  7  4  4  6  2  9  4 10  4  5 12  3  5  9  6  7  6  2  8  4  5  2 10
## [28105]  8  5  4  4  6  5  9  3  5  2  4  9  4  8  8  6  4  8  5  7  5  7  6  8
## [28129]  7  7  7  7  5  7  3  7  5  6  4  5  8  7  8  7  4  6  6  5  9  6  4  8
## [28153]  9  5  7  5  5  9  6  5  7  7  7  3 10  5  5  3  5  6  9  5  2  4  7  9
## [28177]  8  9  8  3  6 10  3  8  8  8  7  4  8  9  8  4  8  6  6  9  4  5  6  7
## [28201]  9  8  4 10  7  3  6  9  7  4  9  4  9  6  3  7  7  6  5 10 10  4  7  8
## [28225]  7  8  7  9  6  6  8  7  6 10  5  9  2  9  9  5 12  6  9  9  2  4  7  9
## [28249]  5  4  6  6  8  5  5  6  2  6  6  9  6  1  6  7  9  8  7  4  6  5  5  5
## [28273]  7  6  8  6  5  6  3  8  7 11  5  7  4  4  8  4  5  5  2  6  7  7  2  5
## [28297]  3 11  5  9 10  7  6 11  4  6  7  4  6  7  5  6  8  6  4  4  5  5  5  4
## [28321]  5  7  5  6  7  4  7  8  8  7  6  4  8  8 11  2 10  6  9  9  6  8  6  6
## [28345]  9  7  9  6  9 10  5  5 12  5  9  7  5  5  7  3  2  8  4  2  5  2  5  7
## [28369]  5  4  7  6  6  3  5  5  7  5 11  8  6  5  7 10  5  5  4  7  2  9  6  5
## [28393]  5  1  7  1 11  6  3  1  7  3  5  8  6  6  4  2 12  3  4  4  9  4  9  2
## [28417]  6 10  1  5  7  3  7  6  8  2  6  5  2  4  2  6  6 11  6  2  7  7  8  5
## [28441]  5  7 12  5  7  9  7 10  5  4  3  7  6  9  7  2  6  8  9  4  5 11  7  5
## [28465]  7  5  5  6  6  3  3  5  2  2  9  4  5  3  2  9  4  2  6  7  6  6  6  8
## [28489]  2  5  6  6  5  5  5 11 11  3  4  5  6  3  5  7  3  8  7  4  0  5  7  6
## [28513]  6  7  8  5  9  4  3  5  4  6  9  2  9  2  7  9  5  8  5  5  2  7  4  4
## [28537]  4  5  7  7  6  6  3  4  7  9  2  6  3  8  5  9  9  8  7 11  9  3  2  4
## [28561]  8  3  9  6  7  6  6  3  9  9 10  7  7  9  9  6  4  5  7  9  6  7  8  5
## [28585]  6  6  5  7  4  5 13  4  5 10  8  3  4  5  5  5  9  8 12  7  3  6  4  7
## [28609]  7  3  6  6  6  6  6  6  7  6  3  5  7  5  1  7  3  9 12  6  8  2  3  5
## [28633]  7  6  3  9  5  6  6  1  3  4  5  7  9  6  6  9  4  4  5  6  6  6  4  5
## [28657]  7  5  6  7  6  5  4  2  9  7  5  4  4  4  2  3  2  1  6  9  4  5  8  4
## [28681]  1  4  5  6  1  4  4  9  9  9  6  4  8  8  4  9  4  4  5  6 10  4  6  8
## [28705]  7  5  6  5  7  8  3  5  8  6  8  5  7  6  3  6  2  4  5  6  5  6  8  4
## [28729]  3  8  3  9  6  9  6  7  5  5  2  8  5  6  6  5  7  6  7  8  7  7  4  2
## [28753]  2  8  8 10  4  4  4  5  6  3  6  8  9 10  7  4  3  7  5  5  8  7  9  6
## [28777]  7  3  6  9  8  4  9  4  7  5  4  4  2  7  7  7  7  3  7  7  4  4  5  3
## [28801]  6  8  9 11  2  7 13 11  4  6  8  9  6  5  8  3  6  4  6  6  4  9  6  5
## [28825]  7  4  4  6  7  7  4  9  6  3  7  6  6 10  6  8  7  5  9  8  8  7  7  5
## [28849]  9  3 10  7 11  5  8  6  4  9  3  9  8  5  6  5  9  7  9  9  9  8 10  5
## [28873]  5  6  8  6  5  7  3  6  6 12  7  8  9  5  8  9  4  5  9  4  8  6  8  7
## [28897]  7  8  3  7  4  4  8 11  4  6  8  3  6  4 10  8  5  6  8 10  6  1  1  2
## [28921]  4  5  4  7  5  7  6  7  7  9  6  5  2  8  8  4  7  5  2  5  4  4  9  6
## [28945]  3  3  3  6  7  1  9  6  3  8  5  6  3  6  7  2  6  7  8  4  2  5  4 11
## [28969]  6  5  6  5  8  7 10  1  7  6  8  2  8  8 11  5  6  8  3  6  6  7  5  6
## [28993]  8  5  5 12  6  2  8  7  1  2  9  8  7  6  9  4  9  7  8  2  2 11  6  7
## [29017]  7  8  8  3  3  5  5  5  4  2  0  5  5  6  9  4  4  5  4  9  6  2  8  2
## [29041]  6  9  8  9  5 10  2  6  4  8  9  8  9 10  5  6  7  2  8  1  4  3  5  5
## [29065]  5  6  7  9  9  5  9  5  8  9  4  8  4  3  6  4  9 10  4  8  9 12  8  9
## [29089]  8  8 10  8  9  9  5 11  8  8  7  8  4  4  7  5  8  4  6  9 12  9 11  6
## [29113]  5  4  8  9  8  7 10  3  6  9  4  2  4  5  9  8  9  9  8 12  9  3  3  5
## [29137]  8  5  7  7  7  7  5 11  7  7  6  9  4  7  4  8  4  2  2 10  7  9  4 10
## [29161]  7  3 10  9 10  7  4  5  9  4  2  5  1 10 11  7  4  2  2  4  4  5  9  1
## [29185]  7  8  6  5  5  5 10  7  8 12  7  9  8  5  8  4 11  8  8 10  7 12  5  6
## [29209]  6  8  8  6  8  7  7  9  7  6  3  5  4  5  5  8  6  7  6  3  9  7  6  6
## [29233]  5  7  5  4  8  9  5  4  5  7  8  4  8  7  6  3  4  8  7  7  8  3  6  4
## [29257]  7  3  9  9  8  9  6  8  8  6  2  6  8  6 12  7  4  7  6  1  3 12  7  4
## [29281]  5  5 10  8  6  8  9 14  6 11  7  7 10  8  8  6  9 10  3  5  4  9  9  5
## [29305]  6  7  4  9  3  7  1  4  7  4  6  3  7  2 10  3 11  3  5  9  7  5  1  6
## [29329]  2  4  7  8  6 10  7 11  9 11  3  5 10  8  2 11  5  9  6  9 10  6  5 10
## [29353]  7  7 10  9 11  6  3 12  3  4  7  7  9  8  5  8  8  3 10  4  1  5  5  4
## [29377]  6  5  9  5  4  6  3  8  5  2  3  9  5  7  7  4  4  5  3 12  2  8 10 13
## [29401]  4  3  7  6  7  7  4  9  3  9  7  7  8  4  9  6  9  3 10 10  6  8  5 11
## [29425]  3 10  9  4  2  3  6  6  9  7  9  5  2 11  7  7  5  5  5  6  8  7  9  4
## [29449]  5  6  9  5  8  5  5  9  7  7  6  5  8  7  6  5  4  4 11  7  6  3  4  5
## [29473]  4  6  5  7 10  5  4  6 10  9  9  5  5  5  6  8  4  1 12  4  4  3  8  3
## [29497]  6  8  8 13  7  6 10  5  2  5  7  7  6  2  7  3  7  7  6  6  5  5  4  2
## [29521]  5  5  5 10  3  3  7  5  4  6  3  6  9  7  5 10  6 11  8  6 10 10  6 11
## [29545]  6  7  8  7  2  5  5  7  4  2  3  5  6  3  7  7  6  2  6  6  7  8  4  7
## [29569]  4  4  6  7  6  6  6  3  7  4  5  6  5  4  6  4  9  8  9 13  3  6  3  4
## [29593]  8  2  6  6  7  6  8  3  5  4  4  6  5  2  7  3  4  8  4  3  5  8  8  9
## [29617]  2  9  7  4  9  6  6  6  6  7  4 10  5  4  5  1  2  3  8  5  5  5  5  5
## [29641]  6  5  4  4  4  8  8  5  7  8  6 12 10  5  1  7  5  9  6  6  9  8  6  6
## [29665]  3  1  5  9  1  9  6  8  5  5  5  7  4  5  4  8  9 10  5  1  4 12  5 10
## [29689]  5 10  3  7  7  5  5  6  9  9  6  5  5  9  5  5  4  4  9 11  6  5  4  5
## [29713]  7  4  7  8  2  8  3  5 12  8  6  4 10  9  8  4  9  8  2  9  7  9 12  3
## [29737]  4 11  6  3  7  7  4  8  7  9 12  4  4  8  6  8  4  9  5  3  6  9  8  3
## [29761]  9 11 10  7  5  3  8  5  9  4  2 10  5  5  4  6  6  8  4 11  8  4  4  4
## [29785]  6  3  3  9  8  8  6 10  4  8  3  7  4  5  4  6  8  2  2  9  2  3  3 10
## [29809]  4  7  5  7  3  6 11  4  8  7  3  4  6  6  7 12  5  5  4  6  5  4  6  6
## [29833]  2  3  6  3  2 10  2  6  4  4  6  3  3  4 10  2  5  5  3  8 10  3  2  5
## [29857]  9  8  8  8  5  2  0  3  7  3  7  2 10  4  7  6  9  4  7  3  6  4  5  5
## [29881]  2  6  2  7  6  6  9  6  5  3  4  7  4  1  5  9  6  8  7  8  7  5  7  4
## [29905]  3  5  3  2  2 13  6  4  8  7  4  4  6  4  4 10  1  4  4  3  4  2  8  4
## [29929]  3  5  5  6  5  7  2  4  6  5  2  3  6  1  5  1  8  5  2 10  8  5  7  6
## [29953]  7  8  6  4  7  8  4  5  7  6  9  3  5  7  9  8  1  5  4  5  4  8  6  3
## [29977]  7  5  3  5  5 12  9 10  1  6 10 10  6  6  5  7  6  9  5  9  7  8  9  9
## [30001]  6  9  5  8  6  8  8  9 10  4  7  3  7  4  8  9  6  7  8  2  5  5  8  5
## [30025]  8 13  6  9  9  3  6  1  6  8  3  6 10  7  4  3  7  4 10  5  6  8 10  4
## [30049]  5 10  3  9  4 11  6  5  5  4  2  8 12  7  7  3 10  8  4 10  2  3  1  8
## [30073]  7  6  8  8  4  7 11  3  8  5 11  9  6  7  7  9  3 10  4  8  4  5 12  3
## [30097]  4 11  4  7  9  8  8  3  6 10  8  4  5  5  6  7  3  7  5  6  5  0 10 12
## [30121]  8  8  8  5 10  8  7  1  9  5  4  8  1  2  9  5  3  4  8  2  5  8  6  8
## [30145]  5  9  4  6  5  6  8  6  3  9  6  6  5  1  5  7  7  7  8  1  4  5 12  8
## [30169]  7  9  9  9 10  4  9 13  8  6  7  4  8  3  8  8  3  8  6  6  8  6  3  7
## [30193]  5  8  9  7  3  6  8  6  5  1  9 11  3  7  9 10  2  9  9  5  4  6  9  8
## [30217]  7  4  3  6  5  3  6  6  7  2 10  5  8  9  7  6  2  3  3 11  2  6  4  8
## [30241]  6  5  6  7  5  4  8  6  4 12  4  4 10  8  7  4  8  6 10  9  7  3  4  6
## [30265]  5  7  6  4  7  3  6  5  3  7  8 12  9  5  9 10  4 12  3  5  7  6  7  3
## [30289]  7  7  8  8 11  4  6  8  9  5  9  8  3  2 10  6  6  9  2  3  5 10  6  7
## [30313]  1  8  2  6  3  5 12  2 10  8  7  4  7  3  9  2  8  5  6  1  6  8  3  4
## [30337]  7  2  5  4  6  3  7  7 10  5  2  3  9  7  4  7  5  9  6  3  2  3  7  4
## [30361]  2  8  8  8  8  3  1  6  3  4  3  5  5  2  3 11  2  9  5  5  4  2  5  4
## [30385]  7 10  8  7  7  3 12  4  6  8  5  7 11  2  4  2  5  4  3 12  2  4  5 10
## [30409]  8  4  7  5 10  5  9 10  6  4  3  8 11 11  6 10  4  6  5  5  1  4  2 12
## [30433]  6  9  8 11  8  7  8  8  1  3  2  7  5  5  7  2 10  4  5  4  8  7  2  3
## [30457]  4  4  4  8  0  9  4  8  3  1  6  1  4  4  4  6  3 10  9  7  9  5  5  4
## [30481]  4  7  3  4  9  6  5  7  4  6  4  4  1  4  6  3  4  4  6  3  5  3  6  4
## [30505]  7  6  8  6  2  6  3  2  9  6  9  6  3  5  8  4  3  6  5  4  8 10  6  7
## [30529]  6  4 10  7  5  2  9  7  6 10  6  8  4  7  3  4  9  4  9  1  7  9  7  8
## [30553]  7  5  7  8  8  4  5  4  5  9  5  7  8  2 10  4  4  4  9  8  5  8  4  9
## [30577]  3  4  8  7  9  5  7  6  7  4  4  8  1  4  6  2  7  9  5 10  8  9  5 10
## [30601]  7 10  6  6  7 10  8  6  4  5  5  3  8 11  4  5  7  7  4  8  5  5  3  6
## [30625]  2  6  5  8  9  7  6  9  6 11  8  7  2  6  2  7  7  6  9  7  7  9  5  2
## [30649]  7  7  8  6  3  6  8  6  9  5  4  6  6  6  3  2  9  4  5  6  2  5  5  4
## [30673]  6  6  4  5  4  3  7  8  9  8  6  3  7  5  5  3  3  9  2  8  7  2  5  8
## [30697]  1  2 11  2  2  7  5  5  4  8  4  9  4  9  9 10  5  4  6  9  2  3  3  3
## [30721]  5  8  8  4  4  3  5  5  3  3  9  4  3  4 12  1  8  5  4 12  3  6  5 10
## [30745]  6  9  4  4  9  2  9  9  7  2  8  4  7 10  6  4  7  6  7  3  7  6  7  5
## [30769]  1  8  3 11  2  4  6 10  5  5  5  3  7 10  3  6  7  5  4  8  5  5  7  3
## [30793]  5  4  2  6  3  4  5 11  6  3 10  6  2  6  3  5  7  4  8  7  2  4  7  4
## [30817]  5  9  3  8  8  9  4  4  3  5  4  4  6  4  3  6 11  6  3  7  3  6 12 12
## [30841]  5  8  9  1  4  8  3  7  4 10  6 10  8  2  4  6  3  2  8  9 10  2  5  9
## [30865]  9  3  5  8  6  6  4 10  7  8 10  6  3  3  7  6  8 10  6  4  4  7  8  3
## [30889]  4  9  5  7  1  4  3  7  8  8  3  5  7  7  6  8  3  2  5  7  7  4  3  6
## [30913]  4  4 14  6  7  2  8 10 10  8  6  5  6  7  9  8  4  4  5  2  7  5  2  6
## [30937]  3  9  9  7  9  3  4  6  4  4  9  4  2  8  3  5  8  3  3  6  4  8  6  7
## [30961]  9  4  6  9  5 10  2  3  7 10  5  5  5  6 11  6  4  9  8  6  8  8 10  5
## [30985]  2  6  6  7  4  3  3  6  7  8  8  3  2  4  6  3  6  7  6  4  3  6  9  7
## [31009]  8  4  5  2  4  8 11  9  7  3 11  8  7  9  4  6 10  5  3  9  5  3  4  4
## [31033]  5 10  8  2  8  5  4 10 10  9  3  7 10  5  4  5  7  8  3  8  5  2  2  4
## [31057]  3  6  8  4  7  4  7  5  5  4  5  2 10  6 10  4  7 11  1  4  8  6  5  8
## [31081]  5  4  3  5  7  8  3  8  7 12  6  4 11  2  1  3  4  5 11  2  0  8  9  9
## [31105]  7  4  9 15  3 10  9  6  7  5 10  4  6  6  9  6  2  8  9  5  1  6  6  6
## [31129]  7  1  6  4  6  7  2  8 10  2 10 10  2  9  7  4  2 10  7  2  1  7  7  3
## [31153]  6  3  9  7  6  5  4  8  9  6  5  6  8  2  7 10 11 11  7  6  6  9 11  8
## [31177]  8  9  4  3 11  6 11  4  4  4  6 12  3  8  9  5  6  6  8  3  7  3  9  8
## [31201] 10  5  4  8  7  6  9  8  3  6 10  4  8  8  4  6  4  3  6  9  4  2  5  1
## [31225]  5 11  6  3  7  8  2  8  4  5  8  5  3  9  6  6  9  9  9  7  8  2  7  6
## [31249]  7 10  7  6  5  5  3  3  7  3  6  4  3  5 10  4  5  4  8  5  4  4  5  6
## [31273]  3 10  7  9  6  5  7  3 10  3 10 11  8 11  5 10  5  6  7  4 10  4  8  6
## [31297] 10  9  5  5  3  7  5  4  6  6  5  6  9  5  3 11 10  7  6  5 10  6  7  8
## [31321] 10  4  5  8  7  6  5  7  9  9  3  8  6  7  8  8  6  3  4  7  2  4  7  2
## [31345]  4  7  7  5  4  8  9  9  6  8  5  8 10  3  3  8 10  7 11  9 11  4  8  3
## [31369]  5  4  8  4  6  7  8  9 10  8 10  6  7  7  9  8  4  7  2  8  9  7  8  6
## [31393]  6  3  7  3  8  4  6  6  8  9 10  7  9  5  7  9  4  9  6  7  2  9  7 12
## [31417]  6  3  3  7  6  5  6 10  4  7  7  5  6  6  8  8  6  5  6  0  5  6  6  7
## [31441]  6  6  8  7  6  4  2  4  3  1  8  6  5  6  7  3  3  8  7  2  2  9  4  5
## [31465]  3  9 10  6  5  9  9  3  4  3  6  5  7  7  4  9 10  7 11  7  7  7  9  5
## [31489]  7 10  5 10  4  1  6 11  5  6  4  4  6  6  6  5  3 10  5  5  8  6 10  2
## [31513]  7  4  7  7  1 11  7  7  6  4  6  4  7  8 10  6  5  4  6  7  7  9  3  7
## [31537]  6  7  3  5  7  6  5  4  5  5 10  7  8  8  5  7  5  6  6  9  4 12  3  6
## [31561]  8  2 10  6  9  8  1  6  6 10  5 11  1  3  4  6  7  7  3  5  7  9  6  6
## [31585]  7  7  5  5  4  5  7  4  8  9  4  3  8  3  2  8  7  8  2  4  7  5  7  7
## [31609]  7 10  6  7 11  8  6  1  8  6  9  5  7  6  6  6  7  7  5  4  6  7  7  2
## [31633]  2  4  3  2  5  3  4  2  2 10  7  4  8  3  5  8  8  6  7  8  8  5  5  2
## [31657]  5  2  8  2  6  5  5  3  6  6  4  7  8  6  8  7 10  4  6  4  6  5  5  5
## [31681]  4  5  4  8  1  6  4  7  7  7  6  8  5  5  4  4  6  5  4  5 11  6 10  6
## [31705]  6  3  9  5  5  8  7  5  4  6  9  4  3  4  8  8  1  6  1  2  7  6  7  3
## [31729]  4  5  4  4  5  8  2  5  4  5  7  7  7  2  5  4  5  7  6 10  5  3  6  8
## [31753]  4  7  7  9  5  6  9  4  9  1  6  7  9  5  2  2  2  8  8  5  6  6  6  4
## [31777]  7  5  9  6  7  6  3  5  8  7  6  6  5 10  8  6  5  4  8  7  8  7 10  6
## [31801]  4  5  9  5  6  3  5  5  7  5  4  4  8  4  1  4  8  8  3  4  6  4  8  6
## [31825]  3  8  8  6  9  8  8  5  4  5  9  2  3  5  6  7  7  5  6  5  9  6  4  5
## [31849]  9  7  6  7  5  3  8  2  8  7  6  4  7  5  7  7  5  5  3  4  8  4 10  6
## [31873]  4  8  7  9  3  5  5  2  5  6  3  7  9  5  6  8  5  8  7  6  7  1  8  8
## [31897]  7  5  5  6  6  6  7  6  7  8  5  5  5  7  9  3  5  9  8  3  6  6  8  5
## [31921]  6  7 12 10 10  1  9  4  3  8  8  8  9  8  4  6  4  5  5  8  8  8  8  1
## [31945]  4  9  5  3  4  4  6  4  7  0  7  2  2  6 11  7 11  6  2  5 10  8 10  6
## [31969] 10  2  6  6  7  4  5  7  7  7  5  8  6  7  1  5  4  6  8 10  3  3  8  7
## [31993]  5  5  2  8  4  2  7  1  6  7  3  8  5 10  4  8  4  8  2  2  7  5  6  7
## [32017]  6  2  4 10  7  8  2  7  7 11 10 11  5  3  8  6  9  6  7 10  9  8  4  4
## [32041]  4  4  3  4  3 11  7  6  6  7  3  6  3 11  3  6  8 11  6  3  8 11  7  9
## [32065]  3  4 10  7  8  4  3  6  3  7  5  6  5  9  7  2  7  3  6  8  6  8  5  9
## [32089]  6  4  5  4  4  9  4  4  1  2  4  3  9  8  4  8  7  3  9  8 10  5  1  9
## [32113]  3  3  8  8  4  7  7  4  3  6  4  3  7  6  5  4  5  9  3  8  6  9  6  5
## [32137]  8  8  5  4  4  6  6 10  7  8  2  6  8  2  3  8  6  8  5  2  8  5  4  5
## [32161]  6  4  5  5  5  4  7  5  9  7  7  6  6  9  3  7 10  3  2 10  3  7  8  7
## [32185]  2  6 10  5  3  4  5  2  7  2  5  5 10  5  3  6 10  3  6  4  9  5  4  6
## [32209]  4  5  8  6  5  6  8  4  8  2 12  8  5  8  4  6  5  6  9  6  6  1  6  6
## [32233]  5  5  3  6  6  6  3  8  7  4  2  4  4  6  8  6  5  4  7  4  9  4  5  9
## [32257]  8  3  7  9  8  7  6  6  7  5  4  4  2  4  6  8  8  7  5  1  6  4  9  4
## [32281]  7  4  3  6  6  2  6  3  8  8  6  5  6  6  8  4  9  6  6  9  6  6  8  3
## [32305]  5  3  7  4  4  3  4  6  4  4  7  4  7  5  6  1  6  6  8  5  2  5  5  5
## [32329]  5  5  5  6  5  5  5  5  5  5  9  7  8  6  3 10  5 12  5  8 11  5  9  2
## [32353]  3  5  7  6  6  6  5  6  9  4  5  7  3  9  8  5  5  9  4  6  6  3  3  3
## [32377]  2  8  9  3  8  4  7  8  4  9  9 11  8  3  7 12  3  7  3  3 10  6  5  6
## [32401]  7  2  5  8  3  4  4 11  7  2 11  4  7  7  6  5  6  2  5  5 10  1  1  8
## [32425]  5  7  9  6  8  4  8  8  6  6  6  2  6  9  4  7  4  2  4  5  7  8  5  8
## [32449]  3  7  6  4  3  6  4  4  7  2  7  6  8  6  7  6  7  8  9  2  6  4  7  4
## [32473]  6  4  4  5  9  4  9  6  4  3  7  8  2  5  8  3  2  1  4  8  3  3  2  5
## [32497]  7  4  3  3  3  4  8  3  3  5  2 10  5  4  6  5  4  6  6  8  7  7  7  7
## [32521]  3  5  3  2  3  3  5  2  6  6  3  3  5  4  8  6  7  3  5  6  9  2  6  5
## [32545]  8  3  8  9  5  8  5  5  3  5  7  8  2  3  7  4  4  4  5  6  4  5  4  4
## [32569]  2  9  7 11  6  8  9  6  5  4  6  5  7  2  7  2  6  3  5  7  7  2  6  7
## [32593]  4  5  5  1  3  7  4  5  8  2  3  6  8  3  8  7 10  7  7  4  8  4  2  4
## [32617]  3  8  8  6  4  9  8  5  6 10  5  6  6  2  4  2  3  5 13  5  4  6  5  3
## [32641]  1  5  2  2  2  1  2  7  2  8  1  6  3  9  3  5  4  6  5  7  3  4  8  6
## [32665]  2  5  4  4 10  8 10  7 11  6  4  4  5  4  9  6  8  9  3  9  7  9  5  2
## [32689]  6  5  2  5  7  6  3 10  3  7  7  8 10  7  4  4  7  2  8  1  4  4  8  6
## [32713] 10  8  3  2  8  5  5  7  3  2  3  7  4  4  6  5  5  6  5  6  8  6  6  5
## [32737] 10  1  4  5  7  5  5  4  4  6  4  6  4  7  4  4  2  5  3  9  6  8  4  6
## [32761]  3  6  5  2  4  6  5  6  2  8  9 10  7  5  1  9  7  9  3  9  7  5  8  9
## [32785]  6  8  9  6  6  6  8  2  5  4  5  9  6  8  5  2  7  7  6  5  3  7  5  6
## [32809]  5  6  2  8  6  6  3  6  3  4  4  1  3  3  3  6  2  3  7  8  7  7  0  7
## [32833]  7  5  5  3  5  6  7  5  5  6  8  5  6  2  7  4  5  5  5  6 10  5  5  7
## [32857] 11 11 11  3  3  1  6  5  4  7  4  6  2  6  4  9  5  5  4  3  7  3  4  8
## [32881]  6  5  7  9  4  4  4  3  7  4  5  6  6  5  4  8  7  4  3  9  6  2  4  3
## [32905]  8  2  5  6  7  1 11  5  6  7  4  4  4  3  4  3  5  6  4  3  3  3  8  7
## [32929]  3  5  3  4  3  4  8  3  1  7  8  7  4  6  6  3  8  7  9  7  6  4  6  4
## [32953]  8  5  8  4  2  8  6  6  8  6  3  9  8  4  2  3  8  5  3  4  5 10  7  7
## [32977]  4  7  2  6  9  9  2  3  5  4  5  4  7  8  1  3 10  9  7  4  6  4  4  5
## [33001]  3  8  8  7  6  3  7  4  7  5  4  6  4  9  8  3  6  5  5  8  5  6  9  9
## [33025]  7  4  4  9  6  7  9  7  6  2  6  4  7  3  3  6  7 12  5  2  7  6  4  6
## [33049]  7  9  4 13  5  7  4  5  7 10  6  7  6 11  4  4  2  5  6  1  7  3  8  9
## [33073]  6  7  4  3  6  7  1  7  3  9  7 11  9  3 12  7  6  3  4  9  3 10  5  4
## [33097] 10  5  4  6  7  4  7  7  6  9  3  4  5  6 10  7  3  3  3  8  3  1  7  8
## [33121]  8  2  4  7  5  5  5  3  5  5  4  4  6 10  4  2  4  2  7  7  5  2  6 11
## [33145]  7  6  5  3  5  5  6  3  3  4  3  6  4  8  8 10  6  9  6  6  3  5  3  6
## [33169]  5  4  5  8  9  3  6  3  6  6  6  5  7  4  6  3  7 10  1  8  3  7  5  4
## [33193]  9  8  6  8  4  6  7  5  5  6  8  7  1  3  7  7  6  5  4  2  3  3  2  4
## [33217]  8  4  5  2  1  8  2  5  3  4  5  4  7  8  9  8  7  8  6  6  4  6  7  2
## [33241]  9  5  2  6  5  4  4  4  5 10  9  6  3  5  2  3  4  2  5  6  7  4  5  6
## [33265]  9  7  4  4  7  2  4  9  4  6  4 10  3  7  7  7  4  7  4  7  8  7 10  7
## [33289]  4  6  9  5  7  6  7  3  3  8  5  7  6  7  7  6  7  7  7  8  8  5  6  8
## [33313]  4  6  4  4  8 10  9  2  3  6  2  7  7  3  2  5  5  8  3  7 11  6  1  2
## [33337]  8  3  9  4  6  5  9  8  6  3  4  8  4  8  5  7  9  5  6  3  3  6  6  3
## [33361]  6  7  8  7  7  4  6  4  7  7  3 11 10  5  6 10  7  4  6  8  7  3  6  7
## [33385]  8 10  5  6  4  4  6  7  6  3  2  7  5  4  8  9  3  8  5  3  3  7 11 10
## [33409]  4  7  3 10  7  6  7  6  5  7  3  5  5  3  5 10  3  8  7  4  2  5  5  4
## [33433]  9  4  2 12  7  8  6  5  1  4  9  3  5  4  3  2  4  2  5 11  4  3  4  8
## [33457]  5  7  6  6  5  5  5  8 10  8  8  8 10  4  7  1  2  6  5  3  6  9  9  4
## [33481]  5  5  3  4  6  6  9  4  7  5  8  4 14  7  2  6  2  3  2  1  7  5  3  3
## [33505]  1  7  6  5  2  3  7  4  2  7  4  7  8  5  4  7  6  6  5  7  2  4 10  6
## [33529]  7  8  6  3  6  5  5  5  7  7  4  5  8  3  6  7  4  8  5  5  6  2  3  9
## [33553]  6  5  2  2  4  6  7  6  7  7  4  7  9  6  3  3  4  6  7  3  8  3  9  8
## [33577]  6 10 10  6  5  3  4  2  6  6 11  5  1  4  5  5  3  3  9  4  6  7  4  8
## [33601]  5  4  5  7  2  4  7  9  3  7  7  6  4  6  4  8  8  8  4 10  2  4  5  5
## [33625]  6  6  5  2  7  5  4  3  6 11  4  5 11  2  5  7  6  7  1  5  5  4  5  7
## [33649]  2  6  4  4  8  7  6  1  9  7  2  7  3  6  5  5  6  7  3  6  3  6  5  4
## [33673]  3 11  7  7  7  8  8  6  7  7  5  9  8  6  4  7  7  6  6  4  6  5  2  4
## [33697]  5  2  8  8  4  5  9  9  5  1  5  5  7  5  6  7 11  8  7  8  6  4  6  4
## [33721]  4  6  6  6  3  5  7  1  2  8  6  2  7  7 11  2  3  6 10  6  6  7  6  4
## [33745]  5  7  2  4  9  9  7  3  2  8  7  6  3  6  7  4  4  7  6  2  8  5  3  5
## [33769]  3  8  6  4  8  3  9  4  8  3 10  5  9  8  7  8  8  7  3  2  3  5  6  4
## [33793]  1  2  6  5  6  6  8  8  7  4  7  8  5  6  6 10  9  1  5  1  5  2  6  3
## [33817]  2  3  4  4 12  6  8  7  1  3  2  3  6  6 10  8  6 10  8  8  4  3  5  8
## [33841]  7  8  9  5  5  5  3  5  4  5  7  4 11  1  9 11  6  4  6  3  7  5  7  7
## [33865]  4  9  8  9  6  5  6  3  6  7  5  6  7  7  6  9  4  8  9  5  3  4  2  6
## [33889]  2  5  2  5  7  6  6  6  9  9  7  4  6  6  1  3  4  5  6  6  8  8  7  6
## [33913]  7  2  6  4  4  6  5  6  7  9  2  6  1  6  2  4  4  7  2  1  8  8  6  5
## [33937]  7  7  7 11  2  4  5  8  5  4  6  5  5  3  7  6  6  7 10  8  6  7  7  2
## [33961]  4  4  3  3  4 10  9  4  9  9  3  4  4  3  8  9  4  3  7  7  6  5  7  2
## [33985]  4  9  3  4  3  2  8  7  5  5  5  9  5  4  2  5  2  6 10  6  4  8  6  6
## [34009]  9  5  2  2  7  8  8  4  2  5  5  2  6  6  7  7  8  8  6  5  5  6  7  7
## [34033]  9  8  6  6  9  8  6  6  5  7  5  5  7  7 10  2  7  3  7  5  9  7  8  6
## [34057]  4  4  6  5  3  7  4  6  2  6  9  8  4  3  9  7  6  8  4  7  4  2  7  7
## [34081]  6  5  3  7  4  4  3  8  6  7  5  9  9  2  6  5  4  5  6  5  7  5  4  4
## [34105]  5  5  5  2  3  6  3  6  4  3  8  3  5  7  5  7  6  9  4  7  7  4  6  2
## [34129]  4  3  3  3  7  8 11  5  9  6  5  9  7 10  5  3  8  8  4  8  7  5  5  9
## [34153]  4  7  1  8  7 10  7  6  5  7 10  5  6  6  6  5  9  8  8 11  7 12  6  7
## [34177]  4  4  6  7  6  4  7 11  5  8  2  6  6  4  8  8  4  5  2  6  4  5  6  8
## [34201]  9  7  7  7  6  3  4  2  2  2  3  7  8  5  3  4  2  6  5  6  3  6  9  4
## [34225]  4  5  9  9  5 10  7 10  6  4  3  7  3  7  8  5  2  8  4  8  2  8  9 10
## [34249]  9  5 11  9  6  6 10  6  3  8  5  2  3  4  8  8  7  8  3  8  8  7  7  5
## [34273]  9  6  9  7  3  4  5  6  4  2  4  6  6  8  3  5  5  5  4  3  1  6 10  8
## [34297]  3  8  4  5  4  9  5 10  8  8  4  4  3  4  3  6 10  2  3  6  2  3  5 10
## [34321] 11  5  4 10  8  7  3  6  5  3  2  9  4  4  2  2  2  2  3  2  2  2  8  3
## [34345]  6  3  3  3  3  5  4  8  3  4  2  4  6  4  5  3  5  6 10  2  8  6  3  8
## [34369]  5  8  9  7  7  8  6  4  4 11  8  7  7  3  6  9  5  3  7  7  8  2  7  6
## [34393]  2  5  5  7  3  2  3  8  7  9  9  6 10  8  2  3  7  6  5  8  9  3  4  7
## [34417]  9  7  4  6  6  8  4  8  5  4  5  8  5  4  2  8  6  3  5  5  5  9  6  2
## [34441]  6  7  4  4  6  1  2  8 10  9  3  8  6  6  8  5  7  3  7  6  8  5  5  4
## [34465]  5  6  6  4 10  7  8  6  3  9  6  7  7 11  6  4  7  6  6  6  8  5  5  9
## [34489]  4  5  3  3  3  3  3  3  3  3  3  6  3  3  3  3  3  3  2  3  3  2  3  3
## [34513]  3  5  3  3  3  3  3  3  7  7  8  3  3  5  1 11  3  7  4  5 10  9  3  3
## [34537]  6 11 11  4  5  2  5  0  7  3  3 12  8  7  2  7  6  6  8  4  9  6  7  7
## [34561]  7  5  5  4  7  6  6  6  2  6  8  1  7  4  9  3  7  5  6  3  1  5  8  4
## [34585]  3  9  9  5 10  2  8  7  7  5  3  4  5  2  9  3  9  3  4  2  8  6  2  6
## [34609]  6  2  5 11 10  4  3  4  5  6  6  8  8  7  8  8  7  7  9  8  8  8  4  4
## [34633]  7  5  4  4  2  7  4  6  5  8  6  4  7  9  9  5  7  7  7  6  5  6  8  2
## [34657]  9  5  3  2  9  6  7  2  6  7  4  4  3  3  3  3  3  8  6  6  2  7  6  6
## [34681]  7  7  4  8  3  9  2  4  2  2  6  2  2  5  1  6  3  7  5  2  3  6  3  2
## [34705]  3  3  6  7  3  8  3  2  9  8  5  9  9  9  1 10  6  6  3  9  6  6  4  2
## [34729]  7  6  9  2  6 10  8  4  7  1  7  4  8  4 10  2  8  6  7  8  7  5  6  9
## [34753]  6  6  7  7  6  4  6  6  3  7  6  7  5 10  5  6  7  6  9  2 11  5  8  5
## [34777]  4  7  6  4  3  5  5  7  5 10  3  6  5  5  9  5  4  9  4  4 11  4  7 10
## [34801]  3  8  2  9  5  6  7  3  7  6  4  6  6  3  4  2  8  5  5  7  3  7  5  3
## [34825]  3  3  8  3  7 10 10  6  4  7  9  6  8  9  8  9  5  7  9 11  9  1 10  7
## [34849]  6  4  6  3  9  7  4  5  3  1  6 10  5  6  5  2  9  4  4  6 11  6  9  8
## [34873]  6  6  3  2  5  2  2  4  4  2  2  4  4  9  5 10  9  3  7  2 11  7  2 12
## [34897]  6  4  7  7  2  4 10  7  7  6  6  3  9  4  5  7  4  8  7  7  7  4  5  5
## [34921]  9  8  5  7  7  3  2  5  3  6  6  6  7  4  4  2  8 10 10  7  5  3  3  6
## [34945]  5  5  4  7  7  6  2  6  3  8  4  7  7  4  3  9  8 11  9  6  4  6  7  3
## [34969]  5  5  8  7  5  3  4  1  3  2  4  2  5  5  6  9  4  2  5  3  6  7  1  4
## [34993]  7  6  7  2  6  3  7  5  9  4  6  8  4  8  8  5  6  6  6  7  4 11  6  6
## [35017] 11  9  3  3 11  6  5  7 10 10  3  6  5  5  9  6  9  4  3  5  8  5  5  8
## [35041]  4  5  5  5  8  6  6  9  8  5  7  4  5  4  3  8  3  4  4  2  4  5  2  9
## [35065]  2  4  9  6  6 10  5  4  9  7  4  5  6  6  5  4  7  6  5  7  9  3  8  5
## [35089]  5  4  4 12  4  4  5  7  5  5  8  6  6  6  8  1  7  2  8  2  7  5  6  5
## [35113]  4 10  7  6  6  9  9  7  1  9  7  4  5  3  2  6  2  3  7  6  4  5  6  8
## [35137]  6  6  5  9  5  7  3 10  6  4  5  3  6  9  2  3  5  7  4  8  1  3  4  3
## [35161]  2  5  6  3  6  5  3  3 10  2  3  3  7  8  8  8  4 10  9  4  2  7  5  9
## [35185]  4  7  5  8  7  4  1  3  4  0  7  2  9  5  2  6  4  1  4  4  5  3  5  8
## [35209]  6  2  4  5 11  6  7  6 10  4  4  6  4  6  3  5  5  5  3  8  4  4  4  8
## [35233]  6  7  3  8  9 11  5  9  3  5  9  5  5  9  5 11  7  7  1  1  1  6  7  6
## [35257]  8  6  8  7  1  6  5  9 12  6  2  7  9  6  7  4  6 10  5  5  6  1  8  1
## [35281]  8  8  4  5  5  3 10  4  4  5 11  9  3  1  7  6  4 10  7  7  5  3  7  7
## [35305]  5  6  7  3  8  2  7  5  7  9  7  8  9  6  7  7  6  3  5  1  4  4  6  4
## [35329]  8  7  4  9  7  6  4  9  6  4  6  5  8  2 10  5  2  9  3  3  6  6  3  3
## [35353]  8  8  8  8  7  2  3  7  3  4  9  7  4  6  6  4  2  3  8  3  5  9  4  7
## [35377]  4  6  7  7  5  6  7  4  7  4  9  5  4  4  5  7  1  4  7  4  2  5  6  5
## [35401]  1 11  1  3  8  6  1 10  7  3  6  6  6 12  4  8  9  3  8  7  6  6  5  8
## [35425]  5  4  5  7  4  3  2  9 10  2  8  6  4  7  8  8  6  4  4  4  4  4  7  3
## [35449]  1  7  3  8  3  7  6  4  6  8  9  5  8  5  6  4  3  8  4  7  5  4  8  1
## [35473]  8  8  5  8  6  1  3  5  9  4  3  8  5  8  4  1  4 10  4  4  3  5  8  3
## [35497]  4  4  5  6  5  5  9  4  7  6 10  4  4  9  7  7  7  6  4  9  2  6  3  5
## [35521]  2  6  6  8  8  1  8  7  6  6  7  4  7  5  7  4  5  4  6  5  4  8  7  3
## [35545]  3  7  6  8  9  6  5  5  6  5  3  8  6  4  5  6  3 11  7 10  5  2 10  7
## [35569]  5  3  9  4 11  7  5  3  3  5  2  8  7  7  8  7  3  4  4  9  7 10 10 10
## [35593]  7  4  3  2  3  3  6  4  6  3  2  8  5  3  3  5  7  3  2  2  4  3  3  4
## [35617]  3  5  2 11  8  3  6  6  3  7  6 10  1  4  5  9  5  3  7  7  9  5  6  5
## [35641]  7  2  5  6  9  6  7  8  4  5  6 10  7  8  5  7  4  4  4  8  4  8  7  8
## [35665]  8  5  9  8  8 10  8  4  6  1  8  4  5  2  8  5  7  3  2  4  4  9  5  6
## [35689]  9  5  4  4  2  6  2  7  1  2  2  4  9  6  4  7  9  3  3  9  7  5  7  2
## [35713]  8 10  5  9  8  6  4  6  5  9  6  7  9  2  9  4  8  1  4  6  8  8  4  9
## [35737]  2  4  5 11  4 10 10  4  4  9  8  7  6  6  4  8 11  6  5  9  6  8  9  5
## [35761]  5  3  3  9 11  9  5  5  1  3  5  7  7  4  7  6  4  6  4  6  8  6  5  5
## [35785]  9  7 11  5  7  3  5  6 10  9  9  6  6  6  6  8  6  6  6  6  8  7  2 12
## [35809]  9  7  8  6  7  4  5  6 10  9  9  5  9  9  6  6  4  7  6  4  2  6  4  9
## [35833]  4  5  3  4  7  4  1  3 11  3 10  5  2  3  7  7  5  9  9  5  4 11  5  6
## [35857]  8  9  6  5  6  7  6  4  7  6  5  7  7  6  8  7  6  7  7 10  5  3 10  6
## [35881]  2  9  6  4  3  5  5  9  2  4  8  3  3  9 10  5  3 10  5  5  6  9  5  9
## [35905]  7  8  8 10  7  3  2  6  1  6  2  5  2  6  8  1  5  4  7  4  1  7  8  5
## [35929]  8 10  3  8  7  5  5  3  4  3  9  4  3  3  6  7  8  6  5  7  8  8  8  8
## [35953]  6  5  7  3  1  6  7  6  6  6  5  6  9  6  8  6  5  6  6  9  9  4  5  9
## [35977]  8  5  8  7  6  7  6  2  6  4  7  6  8  4 11  2  5  4  7  8  7  4  7  7
## [36001]  4  6  5  2  3  3  9  5  3  2  2  7  1  8  5  9  6  3  8  5  9  8  6  3
## [36025]  2  7  5  7  5  3  6  5  5  1  5  8  5  7  4  5  3  7  2  3  7  4  4  6
## [36049]  7  7  7  6  4  7  7  5  5  5  2  6  3  6  7  7  6 10  5  7  6  2  5  2
## [36073]  3  6 12 10  9  7  8  6  6  5  3  5  3  8  6  5  7  4  4  4  4  4  5  7
## [36097]  5  5  3  6  3  5  5  4  3  2  8  3  8  8  8  5  4  3  4  7  8  6  8  2
## [36121]  7  4  2  7  3  2  3  5  4  6  5  5  5  8  2  4  6  3  7 10  6  7  3  5
## [36145]  4  4  2  2  5  3  5  6  8  2  9  5  4  7  3  9  5  6  5  5  4  8  6  5
## [36169]  8  3  4  5  4  7  4  3  5  5  4  7 14  9  6  9  4  8  6  4  3  6  6  9
## [36193]  5  6  5 10 10  4 11  8  3  5  3  3  4  9  7  9  3 11  6  6  4  5  8  6
## [36217]  3  6  7  5  6  8  8  7  6  7  4  5  7  7 10  5  6 10  2  3 10  7  7  4
## [36241]  5  8  8  6  5  8  7 11  5  8  5  1  4  4  5  3  8  5 12  7  4  5  8  8
## [36265]  7  8  7  7 10 11  7  1  4  8  2  5  7  5  3 10  4  4  8  8  4  4 10  5
## [36289] 10  4  7  7  9  5  6  2  9  4  7  8  8 10  7  7 10 10  2 10 10 10 10 10
## [36313] 10 10 10 10 10  6 10 10 10 10 10 10 10 10  5 10 10 10 10  1  5  4 10 10
## [36337] 10  6 10  6 10 10 10  5 10 10 10 10 10  7 10 10 10 10 10 10 10  7  5 10
## [36361]  7  3  4  4  5  7  7  8  5  4  5  2  7  3  9  7  3  7  5  9  6  5  6  5
## [36385]  6  5  4  4  2  3  5  5  5  5  7  7  4  1  4  4  7  5  3  3  3 10  3  4
## [36409]  7  7  8  4  6  1  6  9  4  3  3  5 11 11  4  5  5  5  6  6  2  1  4  5
## [36433]  4  4  5  9  5  4  6  6  7  4  6  5  6  6  7  2  1  5  3  4  4  2  9  6
## [36457]  6  2 11  3  7  8  9  3  2  9  3  6  9  9 10  7  9  8  7  7  7  6  6  5
## [36481]  3  6  4  5  5  7  6 11  6 11  7  3  7  7  4  4  5  6  7  5  7  5  9 11
## [36505] 12  4  4  7  6  5  5  4  5  2  6  7  8  8  8  3  7  5  3  3  6  2  7  5
## [36529]  5  8  4  6  7  3  2  1  3  8  5  4  9  3  7  5  3  5  3  5  7  6  3  8
## [36553]  7  4  4  5  3  3  4  6  5  6  6  6  2  3  4  6  1  3  6  4  3  6  4  6
## [36577]  3 11  4  7 12  9  6  7  6  6  5  5  6  5 11  4  6  7  7  8  3  7  5  3
## [36601]  8  6  8 10  7  4  3  5  7  8  8  6  6 14  8  4  9 10  6  5  8  5  9  6
## [36625]  8  9  6 10  9  4  7  4  8  6 10  7  2  6  8  6  1  6  6  5  4  3  3  9
## [36649]  3  7  7  5  4  1  4  7  8  6  5  7  2  8  7  7  4  4  5  3  8  4  8  4
## [36673]  5  7  7 10  6  5  6  1  4 10  8  4  5  3  9  8  5  8 10  5  4 10  6  9
## [36697]  2  7  2  4  7  5  5  6  9  4  8 10  5  8  1  4  2  4  5  5  5  9  7  8
## [36721]  9  4  7  6  7  4  6  5  5  7  8  8  5  2  3  8  5  4  4  6  5  6  6  9
## [36745]  8  6  3  6  8 10 10  3  9  6 10  4  6  5  6  9  2  7  9  6  6  7  5  4
## [36769]  4  4 11  4  5  7  4  8  5  3  2  2  2  2  8  3  2  6  4  3  9  2  4  4
## [36793]  3  9  4  3  2  4  7  9  3  8  7  9  3  5  6  5  8  3  4  3  3  3  5  6
## [36817]  7  4  6  6  6  7  8  9  6  9  7  6  6  1  2  9  9  3  4  5  6 11  2  5
## [36841]  8  3  6  6  8 10  4  2  5  5  5  5  9  5  9  8  6  4  5  3  6  4  5  7
## [36865]  4  4  5  6  7  6  6  8  7  6  4  4  5  7  7  9  2  3  4  2  8 10  2  7
## [36889]  7  1  6  5  5  5  2  3  7  7  7  4  5 11  4  8  5  3  7  5 10  2  5  0
## [36913]  6  5 10  2 12  5  2  4  6  4  7  6  5  4  8  2  2  5  6  3  6  1  4  6
## [36937]  3  7  5  2 10  7  5  2  2  3  6  4  3  1  4  5  3  6  4  6  7  8  5  6
## [36961]  4  2  3  6  2  3  3  5  2  3  5  5  5  4  2  5  3  7  4  8  2  8  3  2
## [36985]  3  3  1  7  6  4  3  3  1  6  8  4  3  8  6  6  5  3  7  3  6  4  3  5
## [37009]  7 10  9  7  6  6  6  6  2  7  7  5  2  6  9  7  3  4  2  4  4  4  8 11
## [37033]  5  3  2  8  4  6  8  3 10  5  8  6  8  5  7 11  6  6  6  7  6  3  6  8
## [37057]  2  6  8  9  4 10  8  1  7  3  4  6  7 11  5  9  6  9  3  7  7  4  4  9
## [37081]  3  5  6  7  3  7  2  4  7  9  5  4  8  8  5  5  3 10  8  6  5  8  7  5
## [37105]  3  5  5  7  7  3  4  1  4  7  6  5 10  3  6  5  6  5  3  1  5  1 10  8
## [37129]  5  1  8  3  5  7  5 10  7  9  7  7 10  9  6  9  6  7  1  3  4  5  7  8
## [37153]  6  7  4  4 10  8  8  4  7 11  7  7  7  6  7  7 11  6  7  7 10  7  7  7
## [37177]  5  7  7  2  9  2  0  9  5  4  3  6  4  7  2  4  7  6  2  8  6  3  2  6
## [37201]  7  7  4 10  4  2  4  4  3  6  3  7 11  5  3 10  7 10  1  2  8  7  7  7
## [37225]  5  6 11  4  3  4  2  5  5  9  4  5  7  6  3  3  2  5  3  6  6  4  4  6
## [37249]  5  6  3  4  3  4  9  8  8  4  5  6  3  3  5  4  2  5  3  5  5  8  6  7
## [37273]  4  9  7  6  9  1  6  5  7  7  5  7  4  2  4  4  4  5  5  5  5  2  4  6
## [37297]  8  6  3  6  7  5  7 11  7  3  6  5  5  3  3  5  6  9  7  7  5  1  2  5
## [37321]  9  6  4  3  4  4  5 12  7  5  5  7  7  5 11  2  2  8  5  9  7  3  9  5
## [37345]  5  6  5  7  2  3  5  2  4 10  7  5  3  8  3  5  6  7  7  4  5  5  4  4
## [37369]  3  2  4  8  5  4  4  5  2  6  7  5  5  8 10  8  4  6  6  3  8  3  1  5
## [37393]  6  7  8  8  4  7  4  8  3  3  6  6 11  3  7  4  6  2  9  3  5  4  7  5
## [37417]  5  7  9  5  2  3  3  5  4  7  6  7  7  6  7 11  2  1  8  4  8  5  9  3
## [37441]  6  4  5  4  5  2  7  9  4  7  7  9  6  4  2  7  3  6  6 10  2  9  3  6
## [37465]  3  1  1  4  7  5  7  6  5 11  7  3  5  5  1  5  4  4  4  2  8  5  7  9
## [37489]  5  7  9  2  7  3  6  7  8  6  2  8  5  7  1  9 10  6 10  6  7  3  8  6
## [37513]  8  3  5  6  4  4  5  5 12  3  7  3  6  5 11  7  6  3  2  6 10  6 10  4
## [37537]  4  6  7  7  3  5  6  5  4  3  6  6  1  6  9  4  7 11  2  3  9  5  5  8
## [37561]  8  4  6 11  7  5  2  2  6  6  5 12  3  5 12  5  7  0  6  4  3  2  5  4
## [37585]  2  1  5  6  6  3  4  6  7  5  7  8  9  6  4  5  1  8  4  2  7  6  9  3
## [37609]  4  6  4  5  4  3  7  8  9 10  3  2  4  2  4  4  4  4 10  6  8  2  5  9
## [37633]  4  5  9 11  5  6 11  3  8  7  4  4  5  7  6  6  3  3  8  3  6  4  4  6
## [37657]  5  3  8  8  7  5  5  3  8  6  6  4  6 11  1  2  2  5  7  5  8  7  7  1
## [37681]  8  6  7  6  3  8  6  4  6  7  4  9  3  2  7  6  6 10  3 10  1  3  5  7
## [37705] 10  2  3  3  2  6  6  6  8  3  5  5  9  7  4  5  6  6  8  8  8  8  4  8
## [37729]  3  7  7  7  4 10  2  6  6  6  2  6  9  3  8  7  3 10  8  7  8  5  4  7
## [37753]  5  9  7  5  5  4  4  5  6  3  9  8  4  6  6  4  8  7  1  6  4  5  4  6
## [37777]  5  4  5  6  6  4  5  8  4  4  2  2  5  2  7  6  8  5  5  5  8  5  6  5
## [37801]  3  7  7  2  7  6  8  8  8  5  6  8  6  8  2  5  2  6  7  2  8  8  1  7
## [37825]  4  5  5  5  7 11  5  5 10  7  7  9  5  5 10  5  5  7  7  5  9  3  8  3
## [37849]  6  7  9  2  4  6  7  6  7  5  7  6  3  8  5  5  4  8  7  4  4  3  5  5
## [37873]  4  7  2  8  7  6  2  5  2  6  7  7  9  7  5  8  6  5  8  1  7  4 10  6
## [37897]  7  7  9  7  8  5  6  7  6  6  1  1  1  7  4  6  9  6  7  9  4  7  4  7
## [37921]  6  7 10  2  5 11  6  5  3 10  7  2  6  8  2  3  2  2  8  1  3  4  4  6
## [37945] 10  6 11  6  4  3  2  7  8  5  7  9  5  5  1  3  5  8  8  8  6  5  7  4
## [37969]  6  9  6  8  4  8  3  2 10  1  4  8  7  6  3  4  3  5  9  8  3  3  4  6
## [37993]  7  4  5  7  8  5  7  6  6  7  8  4  9  8  4  3  3  4  1  9  5  6  4  8
## [38017]  7  9  7  3  6  7  3  7  3  4  6  6  1  5  4  2  2  6  6  7  7  7  3  1
## [38041]  7  7  5  5  9  3  5  3  5  2  4  3  2  6  3  4  6 10  3  3 11  6  5  7
## [38065]  4 10  3  5  5  3  5  6  8  6 11  6  8  7 11  5  3  4  6  3  9  6  5  4
## [38089]  5  9  7  6  4  8  6  4  4  5  5  9  1  8  1  4  1  8  7 12  2  2  8  8
## [38113]  5  4  5  8  5  5  5  9  3  2  6  1  6  1  2  3  3  5  4  8  8  4  2  5
## [38137]  2  8  6  8  9  6  4  8  9  2  3  5  7  5  5  8  7  8  6  5  7  1  1  1
## [38161]  2  4  3  1  5  1  8  6  2  3  3  2  4  7  2  4  2  7  4  5  6  5  7 10
## [38185]  4  7  4  7  7  0  1  4  5 10  2  2  4  3  7  6  5  5  8  6  6  3  6  9
## [38209]  5  4  3  7  6  6  1  6  3 13  9  4  3  3  4  5  6  4  9  7  3  2  6  6
## [38233]  6  9  8  3  3  6 10  8  8  3  1  2  5 11  5  5  4  6  5  7  5  7  1  5
## [38257]  3  7  4  0  5  4  5  8  4  5  5  3  4  3  5  4  8  7  2  5  2  4  5  9
## [38281]  7  7  3  4  3  6  3  4  3  4  4  9  5  6  4  4  4  7  4  2  5 12  4  7
## [38305]  1  6  6  7  6  2  9  8  3  8  9  5  9  2  9  4  8  3  3  5  5  2  3  8
## [38329] 10  4  2  7 10  7  4  6  6  4  8 10  6  4  7  7  8  6  3  4  6  6  4  4
## [38353]  2  4  4  5  2  6  6  7  3  8  5  2  9  5  3  5  2  2  5  1  6  7  7  7
## [38377]  9  6  7  7  5  5  5 10  6  8 11  8  4  5  5  8 10 10  9  3  5  2  6  5
## [38401]  3  8  6  9  6  7  8  5  5  7  8  5  5  6  7  4  6  4  7  7  4  4  4  5
## [38425]  1 11  6  5  2  7  6  7  6  8  8  6  5 10  5  5  4 10  2  2  6  3  8  6
## [38449]  4  4  3  5  5  8  4  9  5  2  5  6  4  4  3  6  9  6  4  3  6  7  6  2
## [38473]  6  3  6  4  4  4  8  7  7  9  9  9  2  2  3  2  3  9  4  5 10  1  6  2
## [38497]  6  8  8  4  7  4  5  6  7  6  5  6  7  2  5  6  2  9  7  4  6  3  5  7
## [38521]  2  2  6  5  4  5  6  5  6  4  5  7  8  4  7  4  6  7  3  6  6  9  5  8
## [38545]  9 11  9  2  1  6 11  7  9  9  8 12  5 10  3  7  7  7  6 10  9  3 13  5
## [38569]  2  6  5  8  4  7  1  6  3  3  3  6  7 10  7  5  2  5  4  2  7  7  6  6
## [38593]  7  5  6  2  5  8  6  5  5  3  7  6  2  2  3  5  3  4  3 11  2  4 10  6
## [38617]  4  6  4  5  8  6  6  5  6  2  4  3  4  3  9  8  8  4  7  3  6  6  6  6
## [38641]  6  6  6  6  5  2  3  4  8  4  9  6  3  9  7  7  4  2  7  6  2  9  5  4
## [38665]  7  7  3  4  4  7  9  3  5  8 10  7  2  2  5  3  7  3  7  4  7  2  5  3
## [38689]  6  2  6  4  2  3  7  7  7  5  3  7  8  6  3  3 11  3  3  6  4  5  5  4
## [38713]  5  7  6  8  7  5  6  7  5  9  3  2  7  4  4  8  7  4  9  7  9 11  5  9
## [38737]  7  7  4  2  5  6  9  5  5  4  7  6 10  4  7  3  6  9  7  6  7  4  5  6
## [38761]  6  8  9  9  3  8  2  3  2  9  2  3  1  8  4  9  8  7  8  5 12  3  7  6
## [38785]  6  8  4  7  3  6  7  7  9  7  7  6  7  3  6  4  4 10 10  4  7  7  7  7
## [38809]  5  6  2  2  2  6  3  3  7  7 10  6  6 10  6  7 10  6  3 11  5  5  7  3
## [38833]  5  7  6  5  3  3  4  3  5  3  7  6  3  3  9 10  5  5  3  5  8  6  6  3
## [38857]  1  5  4 11  3  5  0  4  6  5  5  6  6  3  8  7  4  4  6  7  8  5  4  4
## [38881]  6  3  8  3  4  7  3  4  9  7  3  4  6  7  5  7  6  5  4  4  4  4  7  5
## [38905]  9  4  4  4  4  4  2  8  4  8  7  6  6  3  7  8  6  4  3  5  8  6 10  7
## [38929]  9  3  6  6  5  5  4  3  8  4  4  3  4  6  3  2  8  4  4  6  3  3  7  6
## [38953]  5  6  7  9  4  8 10  2  6  3  3  6  6  8  4  2  3  7  7  6  4  6 11  7
## [38977]  4  4  4  5  8  3  3  5  6  3  2  9 12  7  9  3  3  4  9  6  4  4  3  5
## [39001]  6  6 13 10  3 10  4  3  4  8  4  4  3  7  5  7  7  0  7  6  6  7  5  3
## [39025]  7  7  5  8  7  5  4  5  6  5  4  3  7  7  4  6  3  8  6  3  4  4  9  3
## [39049]  6  6 11  1  5  6  9  7  3  4  9  6  8  8 11  5  6 11  6  5  4  9  0  8
## [39073]  7  3  5  5  5  5  3  9  6  7  3  4  8  6 11  3  4  7  6  7  4  4  3  1
## [39097]  5  9  2  8  3  1  2  4  4  2  6  4  7  0  7  6  8  7  1  8  3  5  8  4
## [39121]  7  6 11  6  1  9  7  3  7  8  4  3  4  6  6  7  7  7  5  9  9  2  7  7
## [39145]  6  6  7 11 11  4  5  4  9  7  6  7  6  7 11  4  2  3  3  4  5  8  5  4
## [39169]  9  3  6  6  5  5  8  7 10  1  2  3  3  4  4  9  4  8  5  3  5  7  6  7
## [39193]  5  8  7  5  7  6  5  3  6  5  6  3  5 10  7  9  3  7  8  7  3 10  6  3
## [39217]  6  4  4  9  4  3  2  3  7  3  7 10  8  6  8  4  2  7  7  8  2  9  9  2
## [39241]  3  3  7  2  2  4  3  3  3  5  7  7  7  6  6  7  7  5  7  5  3  3  6  7
## [39265]  4  3 11  5  5  2  3  4  3  7  8  4  3  4  9  8  5  4  5  6  6  7  9  8
## [39289]  3  8  5 10  7  9 10  4  4  6  6  3  2  2  2  3  3  5  9  4  5  8  2  6
## [39313]  4  4  7  7  7 10  6  4  5  7  5  7  3  8  4  7  7  9  7  4  4 10  5  5
## [39337]  5  6  2  3  9  2  4  7  5  7  4  6  6  7  6  5  7  4  7  6  8  6  9  3
## [39361]  8  4  6  7  7  1  8  4  4 10  7  7  4  5  7  3  4  7  4 11  3  7  5  6
## [39385] 10  7  6  2  3  5  8  7  4  7  4  4  6  7  5  3  2  5  4  9  7  4  5 10
## [39409]  6  4  3  3  4  5  5  3  3 10  5  3  3 11  5  9  3  2  4  1  4  7  3  5
## [39433]  2  4  5 10  4  6  7  6  9  6  2  5  5 11  5  4 10  5  8  7  9  7  4  8
## [39457]  8  3  3  3  4  9  7  9  4  5 10  5 11  4  2  2  5  4  3  5  9  3  2  9
## [39481]  6 10  1  5  6  4  7  7  6 11  6  7  5  7  8  4  2  4  8  4  6  9  6 10
## [39505]  8  7  3  5  4  3  8  4  7  7  6  6  7 12  1  7  7  9  7  9  4  3  2  3
## [39529]  3  7  2  6  7  4  6  4  2 11 10  3 11  2  7 11  6  7  2  9  6  2  8  9
## [39553]  1  7  4  9  7  6  2  1  5  8  9  8  2  6  2  2  8  2  3  9 10  7  4  9
## [39577]  4  5  3  5  4  7  4  4  6  3  6  5  5  5  1  5  9  5  4  6  7  5  6  2
## [39601]  2  7  4  4  7  7  6  5  7  8  6  9  7  8  4  9  3 11  9  5  6  3  5  3
## [39625]  6  2  6  3  3  3  2  4  6  9  2  4  6  8  5  3  4  7  5 11  8  7  4  4
## [39649]  5 12  7  5  3  3  5  8  7 10  8 11 11  5 12  4 10  1  3  6  5  4  4  4
## [39673]  3  5  1  6  4  2  2  8  8  7  3  6  5  2  3  9  4 10  4  4  6  5 11  1
## [39697]  6  9  3  8  5  9  8  7  6  2  7  3  3  5  3  6  9  6  9  4  3  2  4  0
## [39721]  4 11  7  4  7  6  4  7  5  4  6  8  3  3  7 11  4 10  7  3  4  3  4  3
## [39745]  7  7  2  4  9  5  7  6  5  5  5  3  3  8  2  7  4  8  4  4  4  4  7  8
## [39769]  6  9  4 10  3  6  7  8  7  1  6  2  6  7  8  7  3  4  1  5  7  9  7  9
## [39793]  7  4  3  1  3  3  4  6  6  9  5  7  7  8  5  7  7  8  3  9  7  5  9  2
## [39817]  7  8  4  3 11  2  7  6  6  4  7  6  3  4  7  3  4  7  7  5  5  3  4  4
## [39841]  6  6  8  6  8  5  7  7  4  7  8  4  4  6  5  2  4  6  7  5  2  6  8  2
## [39865]  3  7  6  8  3  5  6  5  9  4  7  5  4  6  5  1  3  3  2  1  9  7  4  3
## [39889]  6  3  3  5  3  6  5  4  6  5  6  6  9  5  5  1  3  5  5  4  4  3  8  7
## [39913]  5  0  5  9  4 10  8  7  9  9  8  8  5  5  2  1  2  8  7  6  9  2  5  7
## [39937]  4  3  9  6  8  6  5  5  3  2  2  7  6  5  8  6 10  3  8  6  5  9  8  5
## [39961]  3 11  6  4  3 10 11  5  6  5  2  3  9  6  3  9  4  4  5  9  6  7  5 12
## [39985]  9  1  4  5  8  2  8  7  4  7  1  4  6  4 10  9  2  7  5  4 10  2  8  5
## [40009]  2  6  7  7  6  7  2  4  8  2  5  5  8  8  6  3  7  5  4  4  3  8  4  4
## [40033]  1  4  6  4  5  6  3  8  4  3  3  4  4  6  2  8 10  7  1  3  6  6  5  4
## [40057]  5  4  7  3  8  3  6  7  3  4  5  3  8  4  4 11  8  6  3  1  7  3  7  5
## [40081]  9  3  7  3  3  4  5  6  6  4  6  2  5  4  5  3  8  9  4  2  5  3  1  8
## [40105]  6  8  3  7  5 10  4  4  5  7  4  2  2  6  7  3  3  9  8  4  8  7  5  4
## [40129]  8  6  5  4  4  3  2  3  7  1  6  4  7  3  4  4  5  4  7  6  3  7  3  4
## [40153]  1 10  3 12  7  6 11  7  7  7  5  4  4  7  5  3  1  6  7  7  8  8  5  8
## [40177]  8  4  8  6 11  3  6  6  3  3  5  3  7  8  8  6  5  3  8  7  6  5  6  5
## [40201]  4 10  6 10 10  3  6  9  9  6  5  6  7  2  4  7  3  6  9  4  7  3  9  4
## [40225]  6  2  2  3  4  9  5  7  7  6  5  7 10  7  8  5  4  6  7  5  6 10  5  3
## [40249]  3  7  9  2  6 12 12  6  5  6  6  2 12  4  4  4  4  4  3  7  5  1  5  7
## [40273]  5  3  3  2  6  6  3  3  7  1  9  8  5  5  4  7  4  8  3  7  9  9  4  4
## [40297]  3  5  5  5  7  7  6  4  5  7  5  5  7  7  9 10  1  6  4  4  4  4  5  5
## [40321]  6  5  4  6  7  5  5  4  8  2  3  6  4  5  7  7  4  8  7  9  4  3  4  6
## [40345]  8  3  5 10  8  4 10  4  7  9  4  5  5  8  7  6  4  1  1  7  4  7  5 10
## [40369]  4  8  6  3  3  3  4  6  8  5  4  4  9  7  4 10  4  2  7  5  9  8  9  7
## [40393]  5  8  7  6  7  7  9  8  3  7  9  4  4  5 10  5  7  9  4 10  4 10  5  4
## [40417]  3  5 10  4  4  6  6  6  4  5  3 10  6  5 11  5  6  6  9  3 11  6  4  4
## [40441]  2  6  3  0  4  8  3  6 12  6  8  7  5  3  4  6  2  4  3  1  5  2 10  6
## [40465]  9  6  0  4  9  6  5  4  5  3  2  5  6  6  4  5  6  3  5  2  6  6  5  7
## [40489]  5  4  6  6  3  0  8  7 10  9  4 11 10  3  5  4  6  6  4  5  6  5  9  7
## [40513]  1  7  6  3  4  4  6  9  4  9  5 11  4  6  6  9  2  7  2  3  3  1  8  5
## [40537]  4  5 13  5  9 11  5  2  6  2  2  6  3  5  9  5  7  9  3  2  6  6  5  3
## [40561] 10  7  8  2  5  4  4  9  3  6  1  5  4  7  6  3  5  3  3  4  7  9  6 11
## [40585]  5  5  3  7  6  8  4  5  3  5  4  4  5  5  7  5  6  4  6  5  6  4  3  7
## [40609]  9  5  9  1  8  1  8  1  8  9  5  3  4  6  5  4  6  5 13  8  5  5  8  8
## [40633]  7  4  7  4  4  4  8  6  7  2  6  3  7  5  4  4  4  4  4  9  7 11  3  6
## [40657]  5  6  9  3  7  4 10  8  4  5  7  7  5  7  4 10 10  4  7  4  2  5  5  4
## [40681]  4  2  4  6  4  6  5 11  3 10  3  8  9  4  5  3  6  6  6  5  7  6  6  3
## [40705]  2  6  6  6  4  4  5  5  7  2  8  3  7  8  3  7  4  8  9  2  4  7  2  7
## [40729]  7  9  2  3  4  7  7  7  4  6  6  6  4  7  8  5  3  5  1  5  8  8  6  4
## [40753]  3  4  5  4  7  6  8  3  4  2  7  1  7  8  6  4  5  7  4  8  1  3  3  4
## [40777]  8  5  5  6  3  1  2  8  7  9  7  4 10  5  4  8  1  5  6  7  1  7  9  9
## [40801]  4  3  9 11  7  4  4  6  3  9  5  5  7  5  6  8  4  5  6  6  3  5  6  4
## [40825]  5  8  4  5  4  6  3  4  6  4  8  6  7 10 10  7  6  7  7  5  5  2  8  4
## [40849]  8  7  9  7  9  6  2  5  6  1  6  5  8  2  4  5 11  7 11  8  7  9  2  3
## [40873]  8  3  4  7  4  9  6  6  8  4  7  1  4  4  5  7  5  6  6  8  7  5  8  5
## [40897]  9  5  5  6  2  7  8  2  7  6  9  5  3  4  7  6  6  5  8  5  8  6  8  6
## [40921]  8  8  3  3  3  3  4  3  7  5  1  3  6  5  5  5  6  3  7  7  3  6  5 10
## [40945] 13  4  7  1  7  1  4  3  7  4  4  3  2  3  4  4  7  3  8  7  4  3  3  6
## [40969]  7  4  6  5  3  6  5  4  3  4  5  5  5  9  5  3  3  6  4  7  6  5  3  7
## [40993]  2 10  3  6  3  6  3  6  2  4  2  3  4  9  5  9  6  6  5  6  2  5  4  8
## [41017]  5  9  7  9  3  7  1  2  7  3  2  5  2  7  7  9  4  2  7  2  8  3  8  3
## [41041]  6  8  3  3  9  7  7 10  7  6  7  6  7  3  8  6  8  6  2  6  7  6  7  2
## [41065]  2  3 12  3  7  3  4  4  5  7  8  9  4  7  7  6  9  2 10  5  6  5  6  2
## [41089]  1  5  4  3  5  5  5  4  5  5  6  4  2  8  6  8  5  3  9  8  7  6  6  2
## [41113]  3  5  5  5  6  7  3  5  4  4  3  4  5  7  6  9  6  4  8  6  3  6  5  8
## [41137]  2  2  4  3  7  7  5  8  5 10  9 11  3  6  7  7  6  7  5  9  4  6  6  5
## [41161]  4  4  7  7  5  1  8  7  3  3  7  8  5  7  2  3  3  2  8  5  8  1  5  9
## [41185] 10  7  6  6  5  2  7  4  3  2  7  3  2  7  5  2  7  6  7  7  8  9  5  7
## [41209]  3  4  6  5  9  5  8  4  4  5  4  6  2  7  6  6  1  5  4  4  3  5  4  7
## [41233]  3  4  7  7  7  5 10  4  2  4  3  4  4  5  7 10  8  6  3  7  3  4 10  7
## [41257]  5  4  8  5  6  5  4  2  7  9  4  5  4  6  9  7  6  6  4  5  8  8  5  0
## [41281]  7  6  6  3  6  3  4 11  5  6  7  5  8  6  8  6  4  7  6  5  6  4  6  6
## [41305]  6  5  7  4  5  6  5  9  8  7  7  4  5  6  5  7  7  8  8  6  8  9  5  6
## [41329]  0  8  7  2  5  4  5  6  6 10  3  2  3  5  4  7  2  4  5  8  5  6  8  5
## [41353]  6  1  5  2  4  5  6  9  9  5  7  3  4  7  5  8  7  4  7  2  6  8  7  2
## [41377]  6  6  5  9  5  1  5  6  8  5 10  9  6  7  2  7  5 11  2  4  7  6  3  2
## [41401]  5  4  3  3  5 10  2  4 10  3  8  6  2  9  3  9  6  3  2  4  2  7  3  3
## [41425]  8  7  7 10  4  7  4  1  6  7  3  4  7  6  5  4  4  4  4  5  4  2  6  3
## [41449] 11  2  3  4  6  4  6  3  6  2  8  6  6  8  3  5  7  7  9  4  5  8  6  7
## [41473]  8  5  7  7  8  3 10  4  1  3  5  3  6  2  6  8  7  3  8  8  5  5  8  9
## [41497]  7  2 11  4  7  5  7 10  5  9  9  4 10  6  5  8  6  5  7  6  6  4  7  4
## [41521]  3  4  3  2  5  7  8  7  7  2  6  6  7  8  7  2 10  6  6  2  8  8  2  8
## [41545]  6  6  5  4  6  3  5  2  6  5  4  5  3  5  5  7  8  6  6  2  3  2  9  8
## [41569]  2  7  4  7  3  7  7  8  3  7  3  7  3  5  8  6  8  2  7  7  8  7  7  5
## [41593]  3  7  2  4  6  8  4  5  2  7  6  1  7  9  7  6  5  1  3  4  6  6 11  8
## [41617]  8  6  6  3  6  7  3  7  7  5  6  6  7  2  7  5  4  7  6  4  4  4  4  5
## [41641]  8  2  1  3  2  5  3  7  7  7  4  6  3  5  3  4 10 10  7  7  7  7  3  8
## [41665]  1  4  5  6  5  7  6  8  8  7  7  8  6  6  5  5  4  5  3  4  3  6  7  2
## [41689]  7  3  7  8  7  6  8  9  5  8  4  8  2  2  3  6  3  2  5  4  7  9  7  5
## [41713]  6  7  4  8  7  6  4  3  7  3  7  7  3  8  5  5  9  7  8  6  7  6  7  9
## [41737]  7  7  2  6  4  9  4  7 11  8  6  5  7  3  4  5  5  7  8  9  4  6  9  5
## [41761]  5  7  2  8  1  0  4  7  6  6  3  6  5  5  4  4  2  4  4  4  2  3  6  7
## [41785]  6  6  2 11  1  3  6  7  2  6  8  5  4  2  5  5  7  7  5  3  3  5  9  5
## [41809]  3  5  5  4  9  5  6  1 11 11  6  6  6  8  3  6  7  8  5  2  7  7  5  4
## [41833]  2  7  8  9  9  9  6  8  8  7  8  6  8  6  8  9  6  5  8  8  7  8  7  8
## [41857]  8  7  8  7  8  3  4  7  5  8  5  7  7  5  5  7  8  7  8  7  8  8  8  7
## [41881]  8  7  8  7  8  7  7  7  8  8  8  5  8  7  8  7  8  7  8  6  8  2 12  3
## [41905]  6  4  6  5  5  3 10  4 10  6  2  7 10  7  1  6  2  7  3  5  0  3  7  9
## [41929]  7  4  2  8 10  2  9  6  6  5  4  5  3 10  2 10  6  5 10  5  6  9  2  7
## [41953]  2  2  4  5  6  8  3  6  4  7 10  8  4  3  3  7  6  7  9  8  5  5  8  7
## [41977]  7  8  2  5  6  3  6  7 10  4  4  4  7  6  7  4  1  5  4  5  3  1  1  5
## [42001]  6  3  7  7  2  7  6  8  5  5  7  3  2  6  4  3  2  7  6  1  5  5  2  2
## [42025]  5  7  7  7  5  4  5  5  3  3  9  4  5 11  3  3  4  4  5  5  2  7  2  7
## [42049]  6  1  5  4  4  9  5  9 13  6 10  8  6  5  3  2  7  5 10  5  9  9  9  9
## [42073]  8  8  5  4  4  8  4  5  4  4  5  4  5  5  3  6  4  5  6 10  6  6  4  8
## [42097]  7  9  6  6  7  6  6  6  5  8  8  6  7  5  5  7  5  4  6  6  3  5  4  5
## [42121]  3  4  7  4  6  9  4  4  3  5  3  4  3  5  4  3  9  3  7  6  5  5  4  3
## [42145]  3  9  7  7  2  5  8  6  7  5  4  8  1 10  8  4  2  4  3  9  8  1  5  4
## [42169]  3  9  8  8  5  4  5  7  8  7  6 13  1  3  7  3 10  4  6  6  8  5  4  6
## [42193]  1  5  8  2  4  8  9  1  4  2  6  4  8  7  7  7  2  4  6  6 11  6 11  9
## [42217]  5  3  2  3  2  9  7  3  3  3  9  4  9  7  7  7  5 10  8  5  5  4  6  6
## [42241]  7  4  4  7  6  4  8  5  7  7  4  2  6  7  6  7  5  7  5  6  7  4  9  6
## [42265]  1  3  3  2  5  7  6  4  5  7 11  4  2  6  7  3 13  6 10  9  7  6  1  3
## [42289]  1  7  6  8  3  5  7  8  5  6  5  9  3  6  7  5  7  1  4  2 10  6  5  1
## [42313]  3  5  3  6  5  6  5  3  8  2  5  2  2  3  2 10  6  7  4  5  7  5  9  4
## [42337]  8  8  4  4  5  5  8  7  5  8  9  7  7  6  2  6  4  3  3  3  3  7  5  8
## [42361]  3  6  6  6  3  3  2  3  1  7  7  9  6  7  7  7  5  9  5  4  7  6  6  6
## [42385]  6  5  1  7 11  4  4  4  3  8  5  3  4  3  5 10  8  5  2  9  4  7  4  5
## [42409]  7  8 10  5  5  4  8  5  1  6  6  2  4  1  8  5  5  6  2  3  3  3  4 11
## [42433]  8  9  5  5  5  7  8  9  6  4  3  8  2  8  4  8  8  2  3  7  4  2  3  5
## [42457]  5  5  6  6  9  3  5  7  4  4  3  8  2  6  2  5  3  5 10  3  7  3 11  4
## [42481]  7  4  5  3  8  5  5  8 10  8  7  4  8  1  2  4  3  4  2  8  5  2 11  5
## [42505]  8  4  5  4  8  8  5  4  6  6  6 10  7  4  6  2  2  5  1  4  1  8  8  9
## [42529]  7  7  4  3  4 11  5  4  5  8  9  5  6  5  5  2  5  7  4  4  3  5  2  7
## [42553]  7  4  7  5  8  7  6  4  4  2  2  6  4  2  7  6  4  3  8  1  2  6  6 11
## [42577]  4  6  8  8  6  7  7  4  6  4  6  5  1  4  7  8  4  9  8  4  1  5  5  7
## [42601]  2  4  5  3  6  4  6  6  6  7  9  8  8 10  8  5  4  5  5  5  4  3  1  5
## [42625] 10  7  6  4  8  7  4 12  7  5  7  6  3  3  8  4  3  8  4  4  7  2  4  1
## [42649]  2  7  7  5  5 10  2  3  8  9  5  2  2  7  6  4 10  4  2  6  6  5  5  3
## [42673]  2  8  9  8  7 11  3  4  9  3  9  5  4  9  6  4  3  1  3  4  4  6  6  6
## [42697]  6  4  5  4  5  5  3 11  3  6  7  6  5  4  6 10  5  5  5  7  2 11  4 11
## [42721]  6  8  5  5  3  7  7  9  7  7  7  6  7  7  3  8  7  6  9  3  2  2  2  3
## [42745]  6  7  3  4  7  9  3  8  7  4  5 10  6 10  9 11  5  4  5 11  5  4  9  6
## [42769]  8  5  2  2  3  5  2  7  4  2  8  3  3  3  7  8  5  6  3  5  8  9  4  3
## [42793]  5  6  4 12  8  2  7  8  8  8  4  6  6  2  8  4  2  9  6  4  3  6  4  6
## [42817]  8  4  1  3  5  1  3  4  7  3  7  9  3  2  8  4  6 10  3  7  3  7  7  7
## [42841]  6  4  4  3  8  5  4  3  2  8  4  5 12  9  5  4  2  6  9  4  7  3  5  7
## [42865]  6  6  4  8  9  9  8  4  6  7  3  7  4  4  8  9  6  7  9  4  4  5  5  3
## [42889]  5  4  6  9  7  5  5  6  8  5  5  3  5  7  4  8 10  5  6  3  8  6  8 13
## [42913]  3  6  8  2  5  9  9  4  8  7  4  3  3  9  6  3  8  3  3  9  3  4 10 11
## [42937]  8  1  5  7  7  5  5  5  1  6  3  3  7  9  9  4  7  7  5  3 10  7  4  4
## [42961]  6  2  4  2  6  5  7  7  6  1  7  6  4  4  2  2  4  5  6  4  6  4  3 10
## [42985]  6  9  4  5  9  5  6  8  2  4  8  6  6  5  8  8  1  5  4  4  7  6  4  5
## [43009]  5  2  4  8  9  3  4  9  9  3  3  4  1  4  2  8  7  8  8  5  6  2  3  5
## [43033]  8  5  6  6  7  9  5 10  9  5  9  5  5  7  4  8 10  8  2  6  6  3  6  6
## [43057]  7  5  1  3  3 11  3  3  4  8  4  6  4  9  3 10  3  6  4  9  7  6  6  5
## [43081]  8  7  6  6  7  4  9  9  7  8  4  2  4  6  8  3  4  6  9  4  4  7  3  5
## [43105]  4  5  6  3  7  5  6  3  7  8  7  7  3  4  9 10  7  3  8 10  5  2  3  1
## [43129]  9  4  7  3  7  4  4  7  7 10  8  3  4  6  7  7  5  8  7  8  6  3  6  4
## [43153]  2  7  2  4  4  5  4  4  8  7  8  6  4  7  6  7  6  8  4  8  6  6  4  3
## [43177] 11  6  9  5  3  3  7  7  6  3  7  3  7 11  6  6  7  5  6  3  7  7  8  3
## [43201]  8  8  7  6  5  8  5  5  6  8  3  3  2  6  7  5  6  6  2  5  7  8  8  8
## [43225]  3  7  4  4  6  7  7  2  3  6  5  7  8  7  3  6  6  2  7  9  8  6  3  8
## [43249]  7  4  1  7  4  3  7  2  6  7  6  8  6  3  4  4  4  2  4  6  6  3  7  7
## [43273]  8  7  4  4  2  4  6  6 11  4  8 10 10  2  7  8  7  6  4  3  4  4  2  9
## [43297]  8  5  9 13  6 12  2  2  6  0  4  5  3  4  2  7  8  3  3  4  6  4  7  7
## [43321]  8  4  5  9  3  2  4  3  4  7  6  4  8 10  7  9  7  8  1  2  5  7  2  6
## [43345] 10  5  6  4  5  3  2  4  3  7  4  9  8  7  4  4  9  5  3  5  3  8  2  2
## [43369]  5  7  3  2  4  9  3  3  3  9  1  7  1  5  5  5  4 10  6  5  5  5  6  7
## [43393]  6  7  7  3  6 10  4  5  2  2  1  1  3  7  4  6  5  3  2  8  3  7  4  5
## [43417]  1  1  7  3  3  5  4  5  8  4  9  5  6  4  7  5  7  5  5  5  3  6  7  3
## [43441]  2  9  8  5  6  7  7  4 10  5  4  9  8  8  2  7  3  3  4  2 11  8  7  7
## [43465]  3  4  4  7  8  4  6  8  8  5  2  3  3  8  6  3  2  6  7  8 11  5  5  2
## [43489]  3  7  7  8  3  3  4  3  3  7  6  7  5  3  4  3  7  7  3 10  7  6  6  4
## [43513]  3 10  7  6  3  5  2  8  6  5  7  1  4  5  3  9  7  3  6  7  7  4  5  8
## [43537]  7  7  6  1  5  9  1  4  9  6  2 11  8  7  6  5  2  6  2  6  6  2  3  7
## [43561]  9  4  7  4  9  3  4  8  3  6  7  2  4  6  8  7  4  3  4  6  6 10  7  7
## [43585]  7  6  7  7  4  7  3  4  5  1  4  3  5  7  6  8  5  7  7  6  8  5  3  8
## [43609]  2  6  6  4  6  6  4  5  5  7  4  2  4  5  5  8  3  2  1  4  7  1  8  1
## [43633]  7  6  7  5  5  4  3  7  4  4  9  7 10  8  4  8  5  5  8  7  8  3  3  7
## [43657]  5  7  2  6  5  7  5  4  2  3  3  6  7  4  5  4  9  5  5  3  6  6  8  6
## [43681]  8  3  5  4  5  6  7  3  6  6  2  7  8  7  7  8  7  5  7  8  5  8  8  7
## [43705]  7  7  7  6  7  7  8  4  7  4  8  8  4  6  7  3  5  8  2  4  3  2  6 10
## [43729]  2  3  4  5  3  5 11  5  3  8  9  5 11  2  5  5  2  5  3  3  7  4  5  1
## [43753]  8  6  4  7  7  6  5  4  3  5  7  3  7  6  5  8  2  8  3  4  8  5  5  7
## [43777]  5  8  8  3  7  8  7  5  5  1  5  4  4  1  8  7  8  4  2  6  4  3  7  3
## [43801]  3  5  8  3  5  4  3  3  4  7  4  8  6  8  6  4 12  5 10  1  6  6  7  0
## [43825]  2 10  3  2  3  6  3  8  5  6  6  7  7  2  4 10  5  4  2  9 11  8  4  3
## [43849]  1  6  5  6  3  1  8  2  4  4  3  8  6  5  7  5  4  6  9  6  3  8  2  2
## [43873]  6  3  5  6  7  3  5  4  6  6  3  7  6  7  3  1  7  5 12  3  6  5  9  5
## [43897]  7  6  3  6  5  2  3  6  5  8  1  3  8  4  6  6  4  3  7  3  3  3  5  5
## [43921]  7  3  6  6  2  5  6  5  6 11  6 11  7  1  4  6  7  4  9  7  3  4  5  4
## [43945] 10  2  4  3  8 11  7  6  5  5 10  4  8  3  9 10  5  8  4  4  5  8  2  7
## [43969]  4  8  6  6  4  9  3  8  7  7  8  7  0  6  9  4  7  4  3  4  6  7  8  6
## [43993]  3  4  7  7  5  5  1  4  4  7  5 10  1  8  6  4  3 10  8  2  4  5  3  8
## [44017]  3  9  6  8  7  5  7  4  4  4  7  6  5  4  6  4  9  8  2  5  4  8  7  9
## [44041]  4  4  6  2  5  6  7  8  7  4  2  4  8  3  3  5  9  5  2  4  7  5  5  6
## [44065]  4  8  3  6  8  8  6  5  3  4  6  9  4  7  8  7  7  6  5  1  9  2  2  3
## [44089]  3  6  2  2  4  7  4  4  7  6  7  6  5  6  6  7  6  5  5  4  8  6  6  5
## [44113]  4  6  8  5  6  5  6  2  5  4  6  4  7  3  4  7  6  7  3  3  3  7  8  3
## [44137]  6  4  4  3  5  4  7  3  7  7  6  6  3  5  4  8  8  3  7  3  5  5  6  8
## [44161]  6  8  6  6  6  7  3  3  7  5  4  5  4  5  2  6  7  7  3  3  2 12  8  6
## [44185]  6 10  4  4  2  3  4  6  6  4  6  5  7  8  2  8  6  5  4  8  7  5  4  7
## [44209]  8  5  3  7 11  7  6  4  5  9  8  4  3  4  8  4  7  7 11  4  5  6 10  4
## [44233]  1  7  3  4 10  5  3  9  8  2  5  4  3  6  8  7 11  7  4  2 11  3  5  3
## [44257]  2  4  4  7 10  1  4  2  6  7  2 10  8  8  6  2  7  4  1  1  6  2  6  1
## [44281]  7  7  7  3  6  6  3  6  6  3  4  6  4  9  6 10  5  2 12  8  9  4  5 11
## [44305]  2  6  6  3  6  7  7  7  8  4  8  5  2  5  5  6  4  8  2  2  4  8  7  6
## [44329]  5 10  4  4  4  4  4  4  5  3  7  7  3  9  5  5  3  6  4  3  6  5  4  4
## [44353]  6  4  5  5  5  3  8  4  7  4  8  5  8  5  4  8  5  9  8 10  8  4  3  4
## [44377]  5  2  2  5  3 10  5  7  4  2  4  7  8  5  4  6  5  9  5  4  2  6  5  6
## [44401] 12  7  4  1  6  6  8  3  5  4  7  5  7  6  6  6 11  7  6  2  4  6  5  6
## [44425]  8  6  4 10  5  5  8  5  7  8  7  7  5  1  5  8  5  7  9  7  6  6  5  4
## [44449] 10  8  8  5  4  1  3  2  2  9  2  2  2  4  5  9  6  5  6  4  8 10  6  4
## [44473]  6  3  6  9  3  7  5  8  7  6  3  4  3  2  5  8  3  3  5  5  8  3 10  2
## [44497]  8  6  7  3 11  4  7  4  7  7  5  7  4  8  5  5  5  5  4  6  7  7  7  4
## [44521]  5  3  2  7  8  7  7  3  8  1  5  6  7  3  5  2  6  5  6  5  5  4  4  9
## [44545]  7  1  4  4  7  3  8  8  7  9  8  5  6  9  6  3  7  3  6  8  6  5  4  9
## [44569]  9 12  9  6  3  4  5  5  8  5  8  5  3  4  4  4  5  5  8  7  2  3  5  3
## [44593]  7  9  3  5  1  8  3  4  7  7  5  6  3  4  3  4  9  4  8  6  9  9  6  5
## [44617]  6  4  5  9  4  7  5  5 10  5  6  4  9  4  3  6  7  9  5  4  7 10  6  5
## [44641]  5  7  6  6  7  7  5  5  6  8  6  1  1  4  8  1  7  6  8  5  3  4  5  8
## [44665]  6  4  2  5  6  6  6  3  6  2  5  7 11  7  4  6  3  6  8  5  7 11  6  4
## [44689]  6  5  5  8  1  6  6  6  2  6  7  7  7  8  6  9  5  8  4  9  3  1  8  6
## [44713]  6  7  4  5  6  6  9  7  3  4  7  7  5  8  4  6  5 10  3  6  5  2  8  9
## [44737]  9  7  7  7  6  7  9  2  8  6  7  4  3  7  7  3  3  7  3  7  7  1  4  6
## [44761]  9  7  7  3  5  3  4  6  8  7  5  7  7  8  5  8  8  7  4  7  7  2  7  3
## [44785]  3  3  5  6  5  6  3  8 11  5 11  8  2  4  2  7  5  3  5  9  7  6  2  4
## [44809]  3  4  6  9  8  9  6  3  6  8 10  4  5  5  5  5  7  7  5  9  8  8  5  7
## [44833]  3  8  5  4  6  9  4  9  4  6  4  7  4  3  6  9  7  9  5  2  5  6  4  2
## [44857]  7  4  8  3  6  3  3  5  3  3  9  4  6  6  8  7  5  5  6  7  6  4  6  5
## [44881]  6  9  7  2  6  5  4  4  4  2  5  4  4  7  8  7  2  8  1  5  6  5  3  5
## [44905]  2  8  5  7  4  4  1  1  5  6  3  7  6  4  8  3  5  7  2  7  6  7  7  5
## [44929]  7  7  2  6  6  4  9  3  5  8  5  5  5  7  3  7  5  4  4  6  4  4  5  3
## [44953]  4  3  5  2  3  5  6  2  6  7  6  2  3  5  8  5  8  6  7  2  5  6  5  5
## [44977]  5  3  2  7  5 11  4  7  2  6  7  4  3  6  5  2  9  4  6  3  4  8  4  5
## [45001]  8  3  7  6  7  5  7  5  5  5  5  9  5  7  8  7  6  6  4  6  1  3  4  4
## [45025]  7  3  8  7  6  4  6  4  3  7  3  1  5  4  3  7  5  8  8  7  8  6  2  3
## [45049]  4  1  7 11  4  4  4  4  4  2  9  3  4  5  2  7  4  2  3  3  4  6  2  6
## [45073]  5  4  4  5 10  6  4  6  3  3  9  5 10  5  2  2  8 10  2  4  7  3  4  5
## [45097]  2  8  4  8  6  2  2  4  6  4  6  9  8  2  2  9  8  7  7  6  3  2  4  1
## [45121]  2  2  5  3  3  5  2 10  4  5  4  6  7  4  3  3 11  5  9  7  8  8  6  6
## [45145]  2  6  4  4  5  3  2  6  4  4  7  3  7  7  5  5  3  7  6  3  6  3  3  7
## [45169]  3  2  6  6  2  4  7  6  4  8 10  4  7  2  7  4  4  7  5  7  2  4  4  5
## [45193]  4  6  5  3  5  6  2  7  7  6  4  4  4  8  5  4 10  6  5  8  6  3  9  4
## [45217]  4 10  3  4  5  7  6  9  4  9  7  7  7  2 10  8  5  9  5  7  8  5  3  8
## [45241]  8  7  6  4  8  6 10  2  6  7 11 10  5  4  6  6  7  9  7  1  7  8 11  6
## [45265]  4 10  5  8  6  6  3  8 10  8  6  6  7  9  7  5  5  6  9  8  8 11  6  2
## [45289]  4  7  6  2  8  4 10  7 10  5  7  7  5  2  9  7  7  7  4  2  8  6  7  3
## [45313]  4  6  7  4  7  5  8  5  7  6  5  4  5  7  5  8  8  9  9  7  7  6  7  7
## [45337]  7  3  7  7  5  8  8  3  8 10  3  3  9  5 10  5  5  7  7  3  3  7  7  2
## [45361]  6  6  5  3 10  5  5 10  8  6  9  8 10  8 11  6  4  6  5  4  7  9  4  7
## [45385]  8  4  5  6  6  8  8  8  6  8  5  3  4  9  5 11  5  7  5  2  2  7  5 10
## [45409]  6  3  7  4  3  3  4  8  6  6  9  8  7  9 10  7  5  5  5  5  6  5  8  6
## [45433]  8  7  5  9  5 12  6  7  8  7  8  7  7  5  8  5  4  5  6  6  8  8  8  6
## [45457]  8  5  5  6  8  5  6  6  8  9  5  2  6  5  5 11  7  5 11  6  4  5 10  4
## [45481] 10  4  5 11  5  5  7  5  6  7  9  8  7  5  4  5  2 10  7  5  5  3  7  5
## [45505]  6  5  3  7  7  9  3  4  5  5  6  4  6  6  5  3  5  5  8  3  8  7  4  7
## [45529]  6  5  4  7  5  9  4 11  5  6  8  5  6  6  8  9  2  8  8  7  9  9 11  5
## [45553]  8  5  7  8  9  9 11
length(trans)
## [1] 45559
itemFrequency(trans, type="relative")
##                   aaa                  able            absolutely 
##              0.001822              0.002151              0.002744 
##                   act                action            activision 
##              0.001536              0.002502              0.001317 
##                actual              actually                   add 
##              0.001207              0.006146              0.002041 
##                 added             adventure         adventuresofv 
##              0.001119              0.001163              0.001251 
##             afterlife                   ago                 agree 
##              0.001712              0.002217              0.001756 
##                  aint            aldecaldos                 alive 
##              0.001339              0.001295              0.001141 
##           allegations                almost                 alone 
##              0.001273              0.003578              0.001361 
##                 along               already                  also 
##              0.001229              0.005004              0.009877 
##               alvarez                always               amazing 
##              0.006519              0.005465              0.010185 
##                amount                 anime             announced 
##              0.001427              0.001800              0.001734 
##               another               anymore                anyone 
##              0.010075              0.001515              0.005619 
##              anything                anyway            apparently 
##              0.003292              0.001185              0.001317 
##            appreciate                 april               arasaka 
##              0.001317              0.001119              0.002897 
##                around                   art               article 
##              0.005992              0.007660              0.001427 
##                artist     artisticofsociety               artwork 
##              0.001866              0.006936              0.002261 
##                   ask                 asked                   ass 
##              0.001229              0.001295              0.002173 
##                attack             available                  away 
##              0.001076              0.003644              0.007463 
##               awesome                  baby                  back 
##              0.005531              0.001602              0.019996 
##                   bad              badlands                bandai 
##              0.007990              0.001295              0.002261 
##                   bar                  base                 based 
##              0.001361              0.001295              0.001602 
##             basically                  beat             beautiful 
##              0.001405              0.002349              0.005465 
##                beauty                become                behind 
##              0.001471              0.001515              0.001778 
##               believe                  best              bethesda 
##              0.003424              0.011941              0.002568 
##                better                   big               biggest 
##              0.009548              0.008933              0.002788 
##                  bike                   bio               bioware 
##              0.001054              0.002568              0.001339 
##              birthday                   bit                 black 
##              0.001010              0.005356              0.002195 
##                 blade           bladerunner             blazedrts 
##              0.001185              0.002041              0.004346 
##                 blind                  blue                 board 
##              0.001493              0.001427              0.001185 
##                  body                 bonus               bonuses 
##              0.001251              0.001580              0.002283 
##                  book                bottom                bought 
##              0.001339              0.001119              0.003249 
##                   boy                 brain                 break 
##              0.001580              0.001229              0.002063 
##          breathtaking                 bring                   bro 
##              0.001229              0.001997              0.001054 
##                broken                bronze                 bucks 
##              0.004236              0.001163              0.003380 
##          bufaloharris               buffalo                   bug 
##              0.001185              0.001032              0.004587 
##                 buggy                  bugs                 build 
##              0.002788              0.008890              0.001383 
##              bullying                  burn              business 
##              0.001778              0.001339              0.001712 
##                  busy                   buy                buying 
##              0.001844              0.004478              0.001602 
##                  call                called            callofduty 
##              0.003578              0.001910              0.001054 
##                  came                camera                   can 
##              0.003358              0.002722              0.025483 
##                  cant              captured                   car 
##              0.005312              0.001163              0.006826 
##                  card                  care                  cars 
##              0.001405              0.002151              0.002458 
##                  case                   cat                 catch 
##              0.001800              0.001427              0.001119 
##                 cause                  cdpr         cdpredsupport 
##              0.002173              0.108080              0.001141 
##             cdprojekt          cdprojektred        cdprojektredir 
##              0.003622              0.094866              0.001954 
##         cdprojektrekd                cdprru                  cent 
##              0.001668              0.001954              0.005004 
##                   ceo                chance                change 
##              0.001251              0.002129              0.002744 
##               changed               changes              changing 
##              0.001185              0.003336              0.001185 
##               channel             character            characters 
##              0.003666              0.008736              0.002853 
##                  chat                 check                 chill 
##              0.001405              0.015716              0.001756 
##                choice                 choom                chooms 
##              0.001076              0.001690              0.001624 
##                  ciri                  city                 clear 
##              0.001339              0.039004              0.001010 
##                 click                 close                closer 
##              0.003753              0.002327              0.001295 
##                  code           collectible            collection 
##              0.001141              0.002283              0.001010 
##                  come                 comes                coming 
##              0.015782              0.002414              0.006475 
##            commission             community             companies 
##              0.001427              0.002283              0.002019 
##               company              complete             completed 
##              0.005136              0.002305              0.001229 
##            completely               concept               console 
##              0.001515              0.001471              0.003183 
##              consoles               content              continue 
##              0.002963              0.006673              0.001580 
##             continues               control                  cool 
##              0.001273              0.001032              0.004807 
##                copies                  copy                 corpo 
##              0.002568              0.001273              0.004961 
##               cosplay                couple                course 
##              0.003227              0.002129              0.001449 
##                 cover                 covid           cpcommunity 
##              0.001317              0.001141              0.001975 
##        crackbandicoot                 crash               crashes 
##              0.001229              0.001405              0.001119 
##                 crazy                create               created 
##              0.002129              0.002019              0.001493 
##         crowofyharnam                crunch                   cry 
##              0.001493              0.001229              0.001032 
##               current             currently                   cut 
##              0.001405              0.002546              0.001536 
##                  cute                 cyber             cyberpunk 
##              0.001295              0.005553              0.671196 
##          cyberpunkart       cyberpunkfanart      cyberpunkfashion 
##              0.004390              0.002941              0.002568 
##         cyberpunkgame         cyberpunkjudy           cyberpunkpc 
##              0.060164              0.002019              0.001624 
##    cyberpunkphotomode         cybersecurity           cybersunday 
##              0.026230              0.001229              0.003007 
##                  damn                  dark                  data 
##              0.004566              0.001910              0.001076 
##                  date                   day                  days 
##              0.002173              0.013740              0.003424 
##                  dead                  deal                 death 
##              0.003007              0.004258              0.002393 
##               decided            definitely               delayed 
##              0.002875              0.002634              0.001800 
##                  demo                design              designer 
##              0.001054              0.002831              0.001163 
##               despite               details                   dev 
##              0.005048              0.001954              0.009548 
##             developer            developers           development 
##              0.006848              0.002700              0.002744 
##                  devs                 didnt                   die 
##              0.004083              0.003117              0.001888 
##             different               digital            digitalart 
##              0.002963              0.002524              0.002305 
##              director            disastrous               discord 
##              0.003249              0.001932              0.001207 
##                   dlc                  dlcs                doesnt 
##              0.004478              0.001010              0.001515 
##                   dog                  done           donotrepost 
##              0.001624              0.006409              0.001054 
##                  dont              download                  draw 
##              0.007638              0.001624              0.001361 
##               drawing                 dream                dreams 
##              0.001712              0.001141              0.002129 
##                 drive               driving                  drop 
##              0.001690              0.002810              0.003161 
##               dropped                  dude                   due 
##              0.001536              0.001954              0.001778 
##                 early                easter                  easy 
##              0.002349              0.001558              0.001229 
##                  ebay                   edg                  edge 
##              0.003336              0.002371              0.010624 
##                  edit               edition                either 
##              0.001778              0.004214              0.001734 
##              elonmusk                  else             employees 
##              0.003490              0.002788              0.001361 
##                   end                ending               endings 
##              0.005202              0.004939              0.001251 
##               enemies                 enjoy               enjoyed 
##              0.001141              0.004127              0.002831 
##              enjoying                enough                 enter 
##              0.002107              0.003183              0.021642 
##                entire                  epic               episode 
##              0.001339              0.023135              0.005773 
##            especially                   est                  etsy 
##              0.001427              0.001273              0.001229 
##             etsystore                evelyn                  even 
##              0.001624              0.002458              0.013587 
##               evening                  ever                 every 
##              0.001866              0.009680              0.006014 
##              everyone            everything                  evil 
##              0.008429              0.004192              0.001251 
##               exactly               example               excited 
##              0.001888              0.001185              0.001910 
##                 execs                expect              expected 
##              0.001361              0.001207              0.001536 
##            experience               explore                  eyes 
##              0.002568              0.021357              0.002480 
##                   fac                  face                  fact 
##              0.001558              0.001800              0.002305 
##                  fade                   fae                   faf 
##              0.002480              0.003578              0.001163 
##               fallout                   fan                fanart 
##              0.001734              0.002941              0.002722 
##                  fans             fantastic                   far 
##              0.002875              0.001032              0.005553 
##                  fast                 fault              favorite 
##              0.001383              0.001251              0.003929 
##             favourite                   fbe                  fear 
##              0.002480              0.001734              0.001141 
##               feature              features                  feel 
##              0.001185              0.001185              0.006365 
##               feeling                 feels                   fef 
##              0.001405              0.002327              0.023552 
##                fellow                  felt                female 
##              0.001076              0.001295              0.001800 
##                   ffb                   ffc                   ffe 
##              0.002634              0.001756              0.001054 
##                 fight                figure               figures 
##              0.001558              0.001010              0.002744 
##                 final               finally                  find 
##              0.002283              0.011150              0.004873 
##                  fine                finish              finished 
##              0.001317              0.003380              0.007463 
##             finishing                  fire                 first 
##              0.001383              0.001778              0.015650 
##                   fix                 fixed                 fixes 
##              0.006958              0.005487              0.005048 
##                fixing                fmcrts                 folks 
##              0.002173              0.003709              0.001032 
##                follow             followers             following 
##              0.003907              0.001032              0.003336 
##                forbes                forget                forgot 
##              0.001273              0.001932              0.001712 
##              fortnite               forward                 found 
##              0.001010              0.001580              0.005904 
##                  four                   fps                  free 
##              0.001251              0.001800              0.004609 
##                friday                friend               friends 
##              0.001734              0.002700              0.002283 
##                  fuck                fucked               fucking 
##              0.005773              0.001536              0.003797 
##                  full                 fully                   fun 
##              0.005926              0.001076              0.006892 
##                 funny                future              futurism 
##              0.002458              0.026888              0.002568 
##            futuristic                   gam                  game 
##              0.003073              0.001032              0.101846 
##         gamecyberpunk       gamephotography              gameplay 
##              0.001185              0.001975              0.007946 
##                 gamer             gamergirl             gamergram 
##              0.007002              0.001273              0.010316 
##                gamers                 games              gamespot 
##              0.004587              0.021972              0.004236 
##          gametography                gaming                  gang 
##              0.004105              0.036458              0.001119 
##                  gave                  geek                   gen 
##              0.001866              0.002590              0.002853 
##                geralt                   get                  gets 
##              0.002151              0.028293              0.003051 
##               getting                 ghost                   gig 
##              0.009021              0.001361              0.001646 
##                  girl                  give              giveaway 
##              0.005663              0.006936              0.002568 
##                 given                 gives                giving 
##              0.001097              0.001251              0.002217 
##                  glad                glitch              glitches 
##              0.002261              0.003095              0.003051 
##                   god                  goes                   gog 
##              0.002436              0.002283              0.001449 
##                 going                  gold                  gone 
##              0.016835              0.001054              0.001866 
##                 gonna                  good          googlestadia 
##              0.006607              0.030334              0.002151 
##              gorgeous                  goro          gorotakemura 
##              0.001229              0.001997              0.004039 
##                   got                 gotta              graphics 
##              0.019864              0.002875              0.001910 
##                 great                   gta                 guess 
##              0.010272              0.002107              0.003600 
##                   gun                   guy                  guys 
##              0.001668              0.002875              0.006629 
##                  hack                hacked                  hair 
##              0.001054              0.001010              0.001580 
##                  half                  hand                 hands 
##              0.002371              0.001361              0.001624 
##                  hang                happen              happened 
##              0.003314              0.001383              0.002963 
##               happens                 happy                  hard 
##              0.001185              0.006695              0.005531 
##              harrison                  hate                havent 
##              0.002217              0.003797              0.001493 
##                   hdr                  head                  hear 
##              0.002327              0.002963              0.001844 
##                 heard                 heart                  hell 
##              0.001668              0.001712              0.003314 
##                 hello                  help                   hey 
##              0.003490              0.003907              0.007156 
##                  high               history                   hit 
##              0.002568              0.001493              0.002897 
##                  hold                  holy                  home 
##              0.001054              0.001383              0.002151 
##              honestly                  hope             hopefully 
##              0.003007              0.009746              0.001800 
##                hoping                   hot                hotfix 
##              0.001076              0.002283              0.003468 
##                  hour                 hours               however 
##              0.001515              0.005685              0.001010 
##                  huge                 human              hundreds 
##              0.003249              0.001032              0.001932 
##                  hunt                  hype                 hyped 
##              0.003534              0.002019              0.001185 
##                  idea                   ign                 image 
##              0.002173              0.011106              0.001141 
##               imagine             important          improvements 
##              0.001580              0.001119              0.001471 
##             including            incredible              industry 
##              0.001207              0.001141              0.001449 
##                inside              inspired               instead 
##              0.001515              0.023223              0.001734 
##           interesting              internet                  isnt 
##              0.002458              0.001010              0.001515 
##                 issue                issues                 items 
##              0.001997              0.004412              0.001097 
##                jackie          jackiewelles         jasonschreier 
##              0.003907              0.001185              0.005597 
##                   job           jodieholmes                johnny 
##              0.003227              0.001141              0.014004 
##      johnnysilverhand                  join               journey 
##              0.006497              0.006234              0.001515 
##                  judy           judyalvarez           judyscuties 
##              0.022498              0.020062              0.001076 
##                  jump                  just                 keanu 
##              0.001141              0.052613              0.002568 
##           keanureeves                  keep                 kerry 
##              0.003819              0.004829              0.003183 
##         kerryeurodyne                  kfps                   kid 
##              0.002678              0.002129              0.002305 
##                  kill                  kind                 kinda 
##              0.001866              0.002019              0.002590 
##                  knew                  know                 knows 
##              0.001273              0.017560              0.001097 
##                kotaku                  lady                  last 
##              0.001229              0.001119              0.012094 
##                  late                 later                latest 
##              0.002831              0.002810              0.008187 
##                launch              launched                  lead 
##              0.009351              0.001010              0.001471 
##                 learn               learned                 least 
##              0.001229              0.001734              0.003183 
##                 leave                leaves                  left 
##              0.001844              0.001405              0.003095 
##         legacykillahd                legend             legendary 
##              0.003205              0.001141              0.001185 
##                  less                lesson                   let 
##              0.001997              0.001383              0.007156 
##                  lets              letsplay                 level 
##              0.002458              0.002678              0.002085 
##                   lie                  lied                  life 
##              0.001339              0.001273              0.006431 
##                 light              lighting                lights 
##              0.001975              0.001119              0.001010 
##                  like                 liked               limited 
##              0.045787              0.001185              0.001339 
##                  line                  link                  list 
##              0.001888              0.006651              0.002678 
##                listen             literally                little 
##              0.001471              0.003051              0.006497 
##                  live            livestream                living 
##              0.029083              0.002634              0.001229 
##                  lmao              location                   lol 
##              0.002502              0.001163              0.008407 
##                  long                longer                  look 
##              0.005531              0.001580              0.011063 
##               looking                 looks                  lost 
##              0.006212              0.007463              0.002656 
##                   lot                  lots                  love 
##              0.008560              0.001097              0.024035 
##                 loved                lovely                loving 
##              0.002151              0.001185              0.001866 
##                   low               machine                   mad 
##              0.001141              0.001054              0.001471 
##                  made                  main                 major 
##              0.016572              0.003292              0.002458 
##                  make                 makes                making 
##              0.013367              0.005092              0.005817 
##                  male                   man            management 
##              0.001251              0.006256              0.001646 
##                 manga                  many                   map 
##              0.001163              0.007309              0.001010 
##                 march             marketing               massive 
##              0.001756              0.001734              0.002766 
##           masterpiece                matter                   max 
##              0.001010              0.001624              0.001339 
##                   may                 maybe                  mean 
##              0.004412              0.006014              0.004039 
##                 means                 media                  meet 
##              0.001383              0.001427              0.003139 
##               members                  mess             microsoft 
##              0.001032              0.002678              0.001339 
##                 might               million              millions 
##              0.004258              0.003797              0.001646 
##                  mind                  mine               minutes 
##              0.002744              0.001339              0.002393 
##                  miss                missed               missing 
##              0.002722              0.001866              0.001295 
##               mission              missions                 misty 
##              0.004192              0.001734              0.002107 
##                   mix            mlbtheshow                   mod 
##              0.001251              0.001339              0.002941 
##               modders                  mode                 model 
##              0.001273              0.002963              0.001163 
##                  mods                moment               moments 
##              0.002831              0.002305              0.001207 
##                monday                 money               montage 
##              0.001888              0.004039              0.001141 
##                 month                months                  mood 
##              0.002019              0.004434              0.002480 
##               morning                  move                 movie 
##              0.005443              0.001778              0.001405 
##                   mox                  much           multiplayer 
##              0.001032              0.013279              0.003402 
##              multiple                 music                  must 
##              0.002414              0.003995              0.001690 
##                  name               naughty         ncombatwombat 
##              0.002305              0.001119              0.001010 
##                  near                  need                needed 
##              0.001076              0.009416              0.001097 
##                 needs           neojapanese                  neon 
##              0.003270              0.020940              0.002019 
##                 never                   new                  news 
##              0.013828              0.040475              0.006563 
##                  next               nextgen                   nft 
##              0.009285              0.001602              0.001822 
##                  nice                 night             nightcity 
##              0.004280              0.041419              0.016967 
##                nobody                 nomad                 notes 
##              0.001076              0.004324              0.004807 
##               nothing               noticed                   now 
##              0.003358              0.001163              0.038214 
##                   npc                  npcs             npcsunday 
##              0.002853              0.001251              0.001383 
##                number                nvidia         nvidiageforce 
##              0.001295              0.003336              0.001361 
##              official                  okay                   old 
##              0.001624              0.002349              0.004631 
##                   omg                   one                  ones 
##              0.001273              0.034022              0.001119 
##                online                  open               opinion 
##              0.001734              0.002414              0.001119 
##                option                 order              original 
##              0.001646              0.001054              0.001646 
##                outfit             outriders             outsiders 
##              0.001076              0.005092              0.001493 
##                  paid                 panam           panampalmer 
##              0.001624              0.009965              0.005948 
##                  part                 party                  past 
##              0.014596              0.001273              0.001954 
##                 patch               patches                  path 
##              0.030905              0.003051              0.001295 
##             paultassi             pawesasko                   pay 
##              0.001317              0.003995              0.001515 
##               pcgamer              pcgaming                people 
##              0.003095              0.006497              0.017647 
##               perfect           performance              performs 
##              0.002217              0.001515              0.003534 
##                person              personal                 photo 
##              0.002722              0.001076              0.005422 
##            photodenuc           photography             photomode 
##              0.002831              0.004258              0.036217 
##       photomodemonday                photos                   pic 
##              0.001888              0.001975              0.001580 
##                  pick                  pics               picture 
##              0.001141              0.002217              0.001800 
##              pictures                 piece                 place 
##              0.001207              0.001602              0.002349 
##                  plan                 plans              platform 
##              0.001383              0.001997              0.001295 
##              platinum                  play              playable 
##              0.001734              0.019162              0.001558 
##         playcyberpunk                played                player 
##              0.001054              0.007199              0.001734 
##               players               playing                 plays 
##              0.002129              0.018350              0.001229 
##           playstation     playstationtrophy           playthrough 
##              0.014245              0.002963              0.006453 
##                please                plugin                  plus 
##              0.007046              0.003161              0.001032 
##               podcast                 point                police 
##              0.001800              0.003907              0.002195 
##                polish                  poor             populated 
##              0.001317              0.001273              0.002458 
##              portrait             portraits              possible 
##              0.002568              0.001646              0.001580 
##                  post                posted                 power 
##              0.004148              0.001580              0.001185 
##                pretty                 price                   pro 
##              0.005970              0.001558              0.002041 
##              probably               problem              problems 
##              0.003797              0.002041              0.002019 
##               product              progress               project 
##              0.001251              0.001273              0.013016 
##               projekt              promised          promostreams 
##              0.048772              0.001207              0.002656 
##       promoteamgamers                 proud                 pspro 
##              0.003314              0.001471              0.002019 
##               psshare                   pst                  pull 
##              0.057069              0.001580              0.001010 
##                  punk                   put               quality 
##              0.002283              0.005312              0.001690 
##                 queen                 quest              question 
##              0.001207              0.003007              0.001229 
##                quests                 quick                 quite 
##              0.002129              0.002107              0.001756 
##           raellelogan                  rain                random 
##              0.001405              0.001361              0.003073 
##            razorsharp            rcyberpunk        rcyberpunkgame 
##              0.021050              0.015913              0.013477 
##                  read               reading                 ready 
##              0.003863              0.001207              0.005926 
##                  real                really                reason 
##              0.004390              0.018701              0.002261 
##               receive                recent              recently 
##              0.001032              0.002414              0.001471 
##                record                   red                reeves 
##              0.001119              0.058232              0.001449 
##                refund              refunded               refunds 
##              0.001975              0.001361              0.004939 
##               release              released              releases 
##              0.008516              0.005861              0.001054 
##             releasing              remember                report 
##              0.001602              0.003863              0.001515 
##                repost            reputation               reshade 
##              0.001734              0.001229              0.002327 
##              response                  rest                return 
##              0.001163              0.001119              0.002063 
##               revenue                review                  ride 
##              0.001097              0.005378              0.003051 
##                 right                 river                  road 
##              0.009438              0.002217              0.002085 
##                  rock              rockstar                 rogue 
##              0.001076              0.003139              0.003534 
##               romance                   rpg        rtsmallstreams 
##              0.002239              0.003402              0.004039 
##                   rtx                 rtxon                   run 
##              0.003446              0.003161              0.003512 
##               running                  runs                 ryzen 
##              0.002239              0.001536              0.003578 
##                   sad                  safe                  said 
##              0.002700              0.002019              0.006980 
##                  sale                 sales               samurai 
##              0.001997              0.003249              0.004566 
##                  save                   saw                   say 
##              0.002173              0.002283              0.010667 
##                saying                  says                 scene 
##              0.003183              0.004631              0.001493 
##                school                 scifi            screenshot 
##              0.001229              0.001558              0.002634 
##           screenshots                season                second 
##              0.003753              0.001010              0.003578 
##                secret                   see                seeing 
##              0.002107              0.020237              0.001954 
##                  seem                 seems                  seen 
##              0.001339              0.003205              0.002853 
##                  sell                 sense                series 
##              0.001602              0.001295              0.005685 
##               serious             seriously                   set 
##              0.001185              0.001493              0.003402 
##              settings                 shame                 share 
##              0.001097              0.001361              0.002678 
##               sharing           sheilaclark                  shit 
##              0.001076              0.001076              0.007309 
##                 shoot                 short                  shot 
##              0.001141              0.001602              0.007770 
##                 shots                  show                 shows 
##              0.007792              0.004412              0.001097 
##           shutterpunk                  side                silver 
##              0.005312              0.004741              0.001163 
##            silverhand                simple    simpleshotsaturday 
##              0.006256              0.001295              0.001251 
##                 since                single                  size 
##              0.007507              0.004631              0.001054 
##                sketch                   sky                skyrim 
##              0.001339              0.001076              0.001580 
##                 sleep                 small         smallstreamer 
##              0.001119              0.001624              0.002305 
##                 smert                  sold               someone 
##              0.004039              0.003270              0.003336 
##             something             sometimes                  song 
##              0.006760              0.001866              0.002766 
##                  sony                  soon                 sorry 
##              0.005378              0.004983              0.003292 
##                  soul                sounds            soundtrack 
##              0.001449              0.001076              0.001427 
##                 space               special                 spent 
##              0.001580              0.001646              0.001449 
##                stadia                  star                 start 
##              0.003292              0.001690              0.005136 
##               started              starting                starts 
##              0.003951              0.006212              0.001119 
##                 state                  stay                 steam 
##              0.002327              0.002985              0.002612 
##                 still                 stock                  stop 
##              0.028227              0.001251              0.004412 
##                 store                 story              straight 
##              0.007902              0.007748              0.001361 
##              strategy                stream              streamer 
##              0.001163              0.013367              0.002919 
##             streaming                street             streetkid 
##              0.007134              0.004456              0.001690 
##               streets           streetstyle                 stuck 
##              0.001471              0.001580              0.001361 
##                studio               studios                 stuff 
##              0.003929              0.001295              0.002985 
##                 style                   sun                sunday 
##              0.002546              0.001032              0.001141 
##                   sup                 super               support 
##              0.001076              0.001975              0.002612 
## supportsmallstreamers              supposed          supstreamers 
##              0.002305              0.001119              0.003424 
##                  sure                 sweet             synthwave 
##              0.005707              0.001668              0.001076 
##                system                   tag                  take 
##              0.001866              0.002063              0.009811 
##              takemura                 taken                 takes 
##              0.004017              0.001997              0.001646 
##                taking                  talk               talking 
##              0.003600              0.002941              0.002766 
##                   tap                   tbh          tcoehentrqya 
##              0.001668              0.001273              0.001361 
##          tcogluuchpxq            tcoknhfzfm           tcoltwjzbui 
##              0.001602              0.001163              0.001405 
##           tcolyvcdttx                  team              teamjudy 
##              0.001536              0.003775              0.002831 
##                  tech              techwear                  tees 
##              0.001515              0.002678              0.001097 
##                  tell                  test               testing 
##              0.003446              0.001646              0.001032 
##                 thank                thanks                 thats 
##              0.007134              0.006387              0.001580 
## thecapturedcollective                 theme      themoodchallenge 
##              0.008802              0.001339              0.002327 
##          thephotomode            thewitcher    thewitcherwildhunt 
##              0.008341              0.005531              0.002700 
##                 thing                things                 think 
##              0.007002              0.005224              0.017274 
##              thinking                 third                   tho 
##              0.002480              0.001339              0.001493 
##                though               thought              thoughts 
##              0.004105              0.005356              0.001580 
##                 three                  till                  time 
##              0.001558              0.001163              0.046116 
##                 times                 title                 today 
##              0.002853              0.001163              0.013345 
##                todays              together                  told 
##              0.001010              0.002195              0.001361 
##              tomorrow               tonight                  took 
##              0.004061              0.007002              0.005026 
##                 tools                   top               totally 
##              0.001954              0.003227              0.001756 
##                  town                 track               trailer 
##              0.001449              0.001405              0.003292 
##                 trash                travel                 tried 
##              0.001712              0.018218              0.002831 
##                  true                 truly                 trust 
##              0.002919              0.001427              0.001690 
##                   try                trying                tshirt 
##              0.004785              0.005268              0.001449 
##                  turn                turned                 tweet 
##              0.001471              0.001515              0.001910 
##                twitch       twitchaffiliate        twitchstreamer 
##              0.022915              0.002371              0.003424 
##              twitchtv               twitter           twitwatchtv 
##              0.002107              0.002107              0.003446 
##                   two                  type               ubisoft 
##              0.004807              0.001712              0.002327 
##            understand            unfinished              upcoming 
##              0.001997              0.001295              0.001405 
##                update               updated               updates 
##              0.017318              0.001273              0.003556 
##               upgrade              uploaded                   use 
##              0.001624              0.001054              0.003161 
##                  used                 using               valerie 
##              0.002436              0.003644              0.002502 
##               valheim               version              vertical 
##              0.001097              0.005531              0.001734 
##            vgpnetwork              vgpunite                   via 
##              0.002919              0.035010              0.042955 
##                 vibes                 video            videogames 
##              0.001339              0.011919              0.003336 
##          videomortals                videos                  view 
##              0.001295              0.001097              0.001932 
##                 views               vincent    virtualphotography 
##              0.001032              0.001515              0.060317 
##                 visit               vlootio                 voice 
##              0.001097              0.001822              0.001141 
##             vpcontext           vpcyberpunk             vpeclipse 
##              0.003073              0.001427              0.006739 
##              vpgamers               vzcorps                  wait 
##              0.003688              0.002656              0.005882 
##               waiting                  wake                  walk 
##              0.004522              0.001449              0.001119 
##               walking           walkthrough                 wanna 
##              0.001076              0.003051              0.002831 
##                  want                wanted                 wants 
##              0.011897              0.003929              0.001427 
##                   war               warzone                 wasnt 
##              0.001207              0.001097              0.001097 
##                 watch              watching                   way 
##              0.006212              0.001449              0.009043 
##                  week               weekend                weekly 
##              0.005268              0.002063              0.001361 
##                 weeks                 weird               welcome 
##              0.001141              0.001405              0.002327 
##                  well                welles                  went 
##              0.011524              0.001207              0.003534 
##              whatever                 white                 whole 
##              0.001207              0.001405              0.003336 
##                  wild                  will                   wip 
##              0.003688              0.028798              0.001427 
##                  wish               witcher           witchergame 
##              0.003731              0.021906              0.002897 
##               without               wizebot                 woman 
##              0.002853              0.003863              0.001054 
##                wonder             wonderful                  wont 
##              0.001822              0.001712              0.001405 
##                  word                 words                  work 
##              0.001756              0.001185              0.010053 
##                worked               working             workplace 
##              0.001734              0.005246              0.001734 
##                 works                 world             worldofvp 
##              0.001646              0.007397              0.011414 
##                 worse                 worst                 worth 
##              0.002568              0.001515              0.003007 
##                   wow                 wrong                   wtf 
##              0.003029              0.003073              0.001273 
##           wvpportrait                  xbox               xboxone 
##              0.001888              0.015057              0.004083 
##           xboxseriess           xboxseriesx             xboxshare 
##              0.001010              0.006980              0.018547 
##                  yeah                  year                 years 
##              0.005707              0.005048              0.006453 
##                   yes             yesterday                   yet 
##              0.005970              0.001800              0.006739 
##               youtube 
##              0.016879
itemFrequency(trans, type="absolute")
##                   aaa                  able            absolutely 
##                    83                    98                   125 
##                   act                action            activision 
##                    70                   114                    60 
##                actual              actually                   add 
##                    55                   280                    93 
##                 added             adventure         adventuresofv 
##                    51                    53                    57 
##             afterlife                   ago                 agree 
##                    78                   101                    80 
##                  aint            aldecaldos                 alive 
##                    61                    59                    52 
##           allegations                almost                 alone 
##                    58                   163                    62 
##                 along               already                  also 
##                    56                   228                   450 
##               alvarez                always               amazing 
##                   297                   249                   464 
##                amount                 anime             announced 
##                    65                    82                    79 
##               another               anymore                anyone 
##                   459                    69                   256 
##              anything                anyway            apparently 
##                   150                    54                    60 
##            appreciate                 april               arasaka 
##                    60                    51                   132 
##                around                   art               article 
##                   273                   349                    65 
##                artist     artisticofsociety               artwork 
##                    85                   316                   103 
##                   ask                 asked                   ass 
##                    56                    59                    99 
##                attack             available                  away 
##                    49                   166                   340 
##               awesome                  baby                  back 
##                   252                    73                   911 
##                   bad              badlands                bandai 
##                   364                    59                   103 
##                   bar                  base                 based 
##                    62                    59                    73 
##             basically                  beat             beautiful 
##                    64                   107                   249 
##                beauty                become                behind 
##                    67                    69                    81 
##               believe                  best              bethesda 
##                   156                   544                   117 
##                better                   big               biggest 
##                   435                   407                   127 
##                  bike                   bio               bioware 
##                    48                   117                    61 
##              birthday                   bit                 black 
##                    46                   244                   100 
##                 blade           bladerunner             blazedrts 
##                    54                    93                   198 
##                 blind                  blue                 board 
##                    68                    65                    54 
##                  body                 bonus               bonuses 
##                    57                    72                   104 
##                  book                bottom                bought 
##                    61                    51                   148 
##                   boy                 brain                 break 
##                    72                    56                    94 
##          breathtaking                 bring                   bro 
##                    56                    91                    48 
##                broken                bronze                 bucks 
##                   193                    53                   154 
##          bufaloharris               buffalo                   bug 
##                    54                    47                   209 
##                 buggy                  bugs                 build 
##                   127                   405                    63 
##              bullying                  burn              business 
##                    81                    61                    78 
##                  busy                   buy                buying 
##                    84                   204                    73 
##                  call                called            callofduty 
##                   163                    87                    48 
##                  came                camera                   can 
##                   153                   124                  1161 
##                  cant              captured                   car 
##                   242                    53                   311 
##                  card                  care                  cars 
##                    64                    98                   112 
##                  case                   cat                 catch 
##                    82                    65                    51 
##                 cause                  cdpr         cdpredsupport 
##                    99                  4924                    52 
##             cdprojekt          cdprojektred        cdprojektredir 
##                   165                  4322                    89 
##         cdprojektrekd                cdprru                  cent 
##                    76                    89                   228 
##                   ceo                chance                change 
##                    57                    97                   125 
##               changed               changes              changing 
##                    54                   152                    54 
##               channel             character            characters 
##                   167                   398                   130 
##                  chat                 check                 chill 
##                    64                   716                    80 
##                choice                 choom                chooms 
##                    49                    77                    74 
##                  ciri                  city                 clear 
##                    61                  1777                    46 
##                 click                 close                closer 
##                   171                   106                    59 
##                  code           collectible            collection 
##                    52                   104                    46 
##                  come                 comes                coming 
##                   719                   110                   295 
##            commission             community             companies 
##                    65                   104                    92 
##               company              complete             completed 
##                   234                   105                    56 
##            completely               concept               console 
##                    69                    67                   145 
##              consoles               content              continue 
##                   135                   304                    72 
##             continues               control                  cool 
##                    58                    47                   219 
##                copies                  copy                 corpo 
##                   117                    58                   226 
##               cosplay                couple                course 
##                   147                    97                    66 
##                 cover                 covid           cpcommunity 
##                    60                    52                    90 
##        crackbandicoot                 crash               crashes 
##                    56                    64                    51 
##                 crazy                create               created 
##                    97                    92                    68 
##         crowofyharnam                crunch                   cry 
##                    68                    56                    47 
##               current             currently                   cut 
##                    64                   116                    70 
##                  cute                 cyber             cyberpunk 
##                    59                   253                 30579 
##          cyberpunkart       cyberpunkfanart      cyberpunkfashion 
##                   200                   134                   117 
##         cyberpunkgame         cyberpunkjudy           cyberpunkpc 
##                  2741                    92                    74 
##    cyberpunkphotomode         cybersecurity           cybersunday 
##                  1195                    56                   137 
##                  damn                  dark                  data 
##                   208                    87                    49 
##                  date                   day                  days 
##                    99                   626                   156 
##                  dead                  deal                 death 
##                   137                   194                   109 
##               decided            definitely               delayed 
##                   131                   120                    82 
##                  demo                design              designer 
##                    48                   129                    53 
##               despite               details                   dev 
##                   230                    89                   435 
##             developer            developers           development 
##                   312                   123                   125 
##                  devs                 didnt                   die 
##                   186                   142                    86 
##             different               digital            digitalart 
##                   135                   115                   105 
##              director            disastrous               discord 
##                   148                    88                    55 
##                   dlc                  dlcs                doesnt 
##                   204                    46                    69 
##                   dog                  done           donotrepost 
##                    74                   292                    48 
##                  dont              download                  draw 
##                   348                    74                    62 
##               drawing                 dream                dreams 
##                    78                    52                    97 
##                 drive               driving                  drop 
##                    77                   128                   144 
##               dropped                  dude                   due 
##                    70                    89                    81 
##                 early                easter                  easy 
##                   107                    71                    56 
##                  ebay                   edg                  edge 
##                   152                   108                   484 
##                  edit               edition                either 
##                    81                   192                    79 
##              elonmusk                  else             employees 
##                   159                   127                    62 
##                   end                ending               endings 
##                   237                   225                    57 
##               enemies                 enjoy               enjoyed 
##                    52                   188                   129 
##              enjoying                enough                 enter 
##                    96                   145                   986 
##                entire                  epic               episode 
##                    61                  1054                   263 
##            especially                   est                  etsy 
##                    65                    58                    56 
##             etsystore                evelyn                  even 
##                    74                   112                   619 
##               evening                  ever                 every 
##                    85                   441                   274 
##              everyone            everything                  evil 
##                   384                   191                    57 
##               exactly               example               excited 
##                    86                    54                    87 
##                 execs                expect              expected 
##                    62                    55                    70 
##            experience               explore                  eyes 
##                   117                   973                   113 
##                   fac                  face                  fact 
##                    71                    82                   105 
##                  fade                   fae                   faf 
##                   113                   163                    53 
##               fallout                   fan                fanart 
##                    79                   134                   124 
##                  fans             fantastic                   far 
##                   131                    47                   253 
##                  fast                 fault              favorite 
##                    63                    57                   179 
##             favourite                   fbe                  fear 
##                   113                    79                    52 
##               feature              features                  feel 
##                    54                    54                   290 
##               feeling                 feels                   fef 
##                    64                   106                  1073 
##                fellow                  felt                female 
##                    49                    59                    82 
##                   ffb                   ffc                   ffe 
##                   120                    80                    48 
##                 fight                figure               figures 
##                    71                    46                   125 
##                 final               finally                  find 
##                   104                   508                   222 
##                  fine                finish              finished 
##                    60                   154                   340 
##             finishing                  fire                 first 
##                    63                    81                   713 
##                   fix                 fixed                 fixes 
##                   317                   250                   230 
##                fixing                fmcrts                 folks 
##                    99                   169                    47 
##                follow             followers             following 
##                   178                    47                   152 
##                forbes                forget                forgot 
##                    58                    88                    78 
##              fortnite               forward                 found 
##                    46                    72                   269 
##                  four                   fps                  free 
##                    57                    82                   210 
##                friday                friend               friends 
##                    79                   123                   104 
##                  fuck                fucked               fucking 
##                   263                    70                   173 
##                  full                 fully                   fun 
##                   270                    49                   314 
##                 funny                future              futurism 
##                   112                  1225                   117 
##            futuristic                   gam                  game 
##                   140                    47                  4640 
##         gamecyberpunk       gamephotography              gameplay 
##                    54                    90                   362 
##                 gamer             gamergirl             gamergram 
##                   319                    58                   470 
##                gamers                 games              gamespot 
##                   209                  1001                   193 
##          gametography                gaming                  gang 
##                   187                  1661                    51 
##                  gave                  geek                   gen 
##                    85                   118                   130 
##                geralt                   get                  gets 
##                    98                  1289                   139 
##               getting                 ghost                   gig 
##                   411                    62                    75 
##                  girl                  give              giveaway 
##                   258                   316                   117 
##                 given                 gives                giving 
##                    50                    57                   101 
##                  glad                glitch              glitches 
##                   103                   141                   139 
##                   god                  goes                   gog 
##                   111                   104                    66 
##                 going                  gold                  gone 
##                   767                    48                    85 
##                 gonna                  good          googlestadia 
##                   301                  1382                    98 
##              gorgeous                  goro          gorotakemura 
##                    56                    91                   184 
##                   got                 gotta              graphics 
##                   905                   131                    87 
##                 great                   gta                 guess 
##                   468                    96                   164 
##                   gun                   guy                  guys 
##                    76                   131                   302 
##                  hack                hacked                  hair 
##                    48                    46                    72 
##                  half                  hand                 hands 
##                   108                    62                    74 
##                  hang                happen              happened 
##                   151                    63                   135 
##               happens                 happy                  hard 
##                    54                   305                   252 
##              harrison                  hate                havent 
##                   101                   173                    68 
##                   hdr                  head                  hear 
##                   106                   135                    84 
##                 heard                 heart                  hell 
##                    76                    78                   151 
##                 hello                  help                   hey 
##                   159                   178                   326 
##                  high               history                   hit 
##                   117                    68                   132 
##                  hold                  holy                  home 
##                    48                    63                    98 
##              honestly                  hope             hopefully 
##                   137                   444                    82 
##                hoping                   hot                hotfix 
##                    49                   104                   158 
##                  hour                 hours               however 
##                    69                   259                    46 
##                  huge                 human              hundreds 
##                   148                    47                    88 
##                  hunt                  hype                 hyped 
##                   161                    92                    54 
##                  idea                   ign                 image 
##                    99                   506                    52 
##               imagine             important          improvements 
##                    72                    51                    67 
##             including            incredible              industry 
##                    55                    52                    66 
##                inside              inspired               instead 
##                    69                  1058                    79 
##           interesting              internet                  isnt 
##                   112                    46                    69 
##                 issue                issues                 items 
##                    91                   201                    50 
##                jackie          jackiewelles         jasonschreier 
##                   178                    54                   255 
##                   job           jodieholmes                johnny 
##                   147                    52                   638 
##      johnnysilverhand                  join               journey 
##                   296                   284                    69 
##                  judy           judyalvarez           judyscuties 
##                  1025                   914                    49 
##                  jump                  just                 keanu 
##                    52                  2397                   117 
##           keanureeves                  keep                 kerry 
##                   174                   220                   145 
##         kerryeurodyne                  kfps                   kid 
##                   122                    97                   105 
##                  kill                  kind                 kinda 
##                    85                    92                   118 
##                  knew                  know                 knows 
##                    58                   800                    50 
##                kotaku                  lady                  last 
##                    56                    51                   551 
##                  late                 later                latest 
##                   129                   128                   373 
##                launch              launched                  lead 
##                   426                    46                    67 
##                 learn               learned                 least 
##                    56                    79                   145 
##                 leave                leaves                  left 
##                    84                    64                   141 
##         legacykillahd                legend             legendary 
##                   146                    52                    54 
##                  less                lesson                   let 
##                    91                    63                   326 
##                  lets              letsplay                 level 
##                   112                   122                    95 
##                   lie                  lied                  life 
##                    61                    58                   293 
##                 light              lighting                lights 
##                    90                    51                    46 
##                  like                 liked               limited 
##                  2086                    54                    61 
##                  line                  link                  list 
##                    86                   303                   122 
##                listen             literally                little 
##                    67                   139                   296 
##                  live            livestream                living 
##                  1325                   120                    56 
##                  lmao              location                   lol 
##                   114                    53                   383 
##                  long                longer                  look 
##                   252                    72                   504 
##               looking                 looks                  lost 
##                   283                   340                   121 
##                   lot                  lots                  love 
##                   390                    50                  1095 
##                 loved                lovely                loving 
##                    98                    54                    85 
##                   low               machine                   mad 
##                    52                    48                    67 
##                  made                  main                 major 
##                   755                   150                   112 
##                  make                 makes                making 
##                   609                   232                   265 
##                  male                   man            management 
##                    57                   285                    75 
##                 manga                  many                   map 
##                    53                   333                    46 
##                 march             marketing               massive 
##                    80                    79                   126 
##           masterpiece                matter                   max 
##                    46                    74                    61 
##                   may                 maybe                  mean 
##                   201                   274                   184 
##                 means                 media                  meet 
##                    63                    65                   143 
##               members                  mess             microsoft 
##                    47                   122                    61 
##                 might               million              millions 
##                   194                   173                    75 
##                  mind                  mine               minutes 
##                   125                    61                   109 
##                  miss                missed               missing 
##                   124                    85                    59 
##               mission              missions                 misty 
##                   191                    79                    96 
##                   mix            mlbtheshow                   mod 
##                    57                    61                   134 
##               modders                  mode                 model 
##                    58                   135                    53 
##                  mods                moment               moments 
##                   129                   105                    55 
##                monday                 money               montage 
##                    86                   184                    52 
##                 month                months                  mood 
##                    92                   202                   113 
##               morning                  move                 movie 
##                   248                    81                    64 
##                   mox                  much           multiplayer 
##                    47                   605                   155 
##              multiple                 music                  must 
##                   110                   182                    77 
##                  name               naughty         ncombatwombat 
##                   105                    51                    46 
##                  near                  need                needed 
##                    49                   429                    50 
##                 needs           neojapanese                  neon 
##                   149                   954                    92 
##                 never                   new                  news 
##                   630                  1844                   299 
##                  next               nextgen                   nft 
##                   423                    73                    83 
##                  nice                 night             nightcity 
##                   195                  1887                   773 
##                nobody                 nomad                 notes 
##                    49                   197                   219 
##               nothing               noticed                   now 
##                   153                    53                  1741 
##                   npc                  npcs             npcsunday 
##                   130                    57                    63 
##                number                nvidia         nvidiageforce 
##                    59                   152                    62 
##              official                  okay                   old 
##                    74                   107                   211 
##                   omg                   one                  ones 
##                    58                  1550                    51 
##                online                  open               opinion 
##                    79                   110                    51 
##                option                 order              original 
##                    75                    48                    75 
##                outfit             outriders             outsiders 
##                    49                   232                    68 
##                  paid                 panam           panampalmer 
##                    74                   454                   271 
##                  part                 party                  past 
##                   665                    58                    89 
##                 patch               patches                  path 
##                  1408                   139                    59 
##             paultassi             pawesasko                   pay 
##                    60                   182                    69 
##               pcgamer              pcgaming                people 
##                   141                   296                   804 
##               perfect           performance              performs 
##                   101                    69                   161 
##                person              personal                 photo 
##                   124                    49                   247 
##            photodenuc           photography             photomode 
##                   129                   194                  1650 
##       photomodemonday                photos                   pic 
##                    86                    90                    72 
##                  pick                  pics               picture 
##                    52                   101                    82 
##              pictures                 piece                 place 
##                    55                    73                   107 
##                  plan                 plans              platform 
##                    63                    91                    59 
##              platinum                  play              playable 
##                    79                   873                    71 
##         playcyberpunk                played                player 
##                    48                   328                    79 
##               players               playing                 plays 
##                    97                   836                    56 
##           playstation     playstationtrophy           playthrough 
##                   649                   135                   294 
##                please                plugin                  plus 
##                   321                   144                    47 
##               podcast                 point                police 
##                    82                   178                   100 
##                polish                  poor             populated 
##                    60                    58                   112 
##              portrait             portraits              possible 
##                   117                    75                    72 
##                  post                posted                 power 
##                   189                    72                    54 
##                pretty                 price                   pro 
##                   272                    71                    93 
##              probably               problem              problems 
##                   173                    93                    92 
##               product              progress               project 
##                    57                    58                   593 
##               projekt              promised          promostreams 
##                  2222                    55                   121 
##       promoteamgamers                 proud                 pspro 
##                   151                    67                    92 
##               psshare                   pst                  pull 
##                  2600                    72                    46 
##                  punk                   put               quality 
##                   104                   242                    77 
##                 queen                 quest              question 
##                    55                   137                    56 
##                quests                 quick                 quite 
##                    97                    96                    80 
##           raellelogan                  rain                random 
##                    64                    62                   140 
##            razorsharp            rcyberpunk        rcyberpunkgame 
##                   959                   725                   614 
##                  read               reading                 ready 
##                   176                    55                   270 
##                  real                really                reason 
##                   200                   852                   103 
##               receive                recent              recently 
##                    47                   110                    67 
##                record                   red                reeves 
##                    51                  2653                    66 
##                refund              refunded               refunds 
##                    90                    62                   225 
##               release              released              releases 
##                   388                   267                    48 
##             releasing              remember                report 
##                    73                   176                    69 
##                repost            reputation               reshade 
##                    79                    56                   106 
##              response                  rest                return 
##                    53                    51                    94 
##               revenue                review                  ride 
##                    50                   245                   139 
##                 right                 river                  road 
##                   430                   101                    95 
##                  rock              rockstar                 rogue 
##                    49                   143                   161 
##               romance                   rpg        rtsmallstreams 
##                   102                   155                   184 
##                   rtx                 rtxon                   run 
##                   157                   144                   160 
##               running                  runs                 ryzen 
##                   102                    70                   163 
##                   sad                  safe                  said 
##                   123                    92                   318 
##                  sale                 sales               samurai 
##                    91                   148                   208 
##                  save                   saw                   say 
##                    99                   104                   486 
##                saying                  says                 scene 
##                   145                   211                    68 
##                school                 scifi            screenshot 
##                    56                    71                   120 
##           screenshots                season                second 
##                   171                    46                   163 
##                secret                   see                seeing 
##                    96                   922                    89 
##                  seem                 seems                  seen 
##                    61                   146                   130 
##                  sell                 sense                series 
##                    73                    59                   259 
##               serious             seriously                   set 
##                    54                    68                   155 
##              settings                 shame                 share 
##                    50                    62                   122 
##               sharing           sheilaclark                  shit 
##                    49                    49                   333 
##                 shoot                 short                  shot 
##                    52                    73                   354 
##                 shots                  show                 shows 
##                   355                   201                    50 
##           shutterpunk                  side                silver 
##                   242                   216                    53 
##            silverhand                simple    simpleshotsaturday 
##                   285                    59                    57 
##                 since                single                  size 
##                   342                   211                    48 
##                sketch                   sky                skyrim 
##                    61                    49                    72 
##                 sleep                 small         smallstreamer 
##                    51                    74                   105 
##                 smert                  sold               someone 
##                   184                   149                   152 
##             something             sometimes                  song 
##                   308                    85                   126 
##                  sony                  soon                 sorry 
##                   245                   227                   150 
##                  soul                sounds            soundtrack 
##                    66                    49                    65 
##                 space               special                 spent 
##                    72                    75                    66 
##                stadia                  star                 start 
##                   150                    77                   234 
##               started              starting                starts 
##                   180                   283                    51 
##                 state                  stay                 steam 
##                   106                   136                   119 
##                 still                 stock                  stop 
##                  1286                    57                   201 
##                 store                 story              straight 
##                   360                   353                    62 
##              strategy                stream              streamer 
##                    53                   609                   133 
##             streaming                street             streetkid 
##                   325                   203                    77 
##               streets           streetstyle                 stuck 
##                    67                    72                    62 
##                studio               studios                 stuff 
##                   179                    59                   136 
##                 style                   sun                sunday 
##                   116                    47                    52 
##                   sup                 super               support 
##                    49                    90                   119 
## supportsmallstreamers              supposed          supstreamers 
##                   105                    51                   156 
##                  sure                 sweet             synthwave 
##                   260                    76                    49 
##                system                   tag                  take 
##                    85                    94                   447 
##              takemura                 taken                 takes 
##                   183                    91                    75 
##                taking                  talk               talking 
##                   164                   134                   126 
##                   tap                   tbh          tcoehentrqya 
##                    76                    58                    62 
##          tcogluuchpxq            tcoknhfzfm           tcoltwjzbui 
##                    73                    53                    64 
##           tcolyvcdttx                  team              teamjudy 
##                    70                   172                   129 
##                  tech              techwear                  tees 
##                    69                   122                    50 
##                  tell                  test               testing 
##                   157                    75                    47 
##                 thank                thanks                 thats 
##                   325                   291                    72 
## thecapturedcollective                 theme      themoodchallenge 
##                   401                    61                   106 
##          thephotomode            thewitcher    thewitcherwildhunt 
##                   380                   252                   123 
##                 thing                things                 think 
##                   319                   238                   787 
##              thinking                 third                   tho 
##                   113                    61                    68 
##                though               thought              thoughts 
##                   187                   244                    72 
##                 three                  till                  time 
##                    71                    53                  2101 
##                 times                 title                 today 
##                   130                    53                   608 
##                todays              together                  told 
##                    46                   100                    62 
##              tomorrow               tonight                  took 
##                   185                   319                   229 
##                 tools                   top               totally 
##                    89                   147                    80 
##                  town                 track               trailer 
##                    66                    64                   150 
##                 trash                travel                 tried 
##                    78                   830                   129 
##                  true                 truly                 trust 
##                   133                    65                    77 
##                   try                trying                tshirt 
##                   218                   240                    66 
##                  turn                turned                 tweet 
##                    67                    69                    87 
##                twitch       twitchaffiliate        twitchstreamer 
##                  1044                   108                   156 
##              twitchtv               twitter           twitwatchtv 
##                    96                    96                   157 
##                   two                  type               ubisoft 
##                   219                    78                   106 
##            understand            unfinished              upcoming 
##                    91                    59                    64 
##                update               updated               updates 
##                   789                    58                   162 
##               upgrade              uploaded                   use 
##                    74                    48                   144 
##                  used                 using               valerie 
##                   111                   166                   114 
##               valheim               version              vertical 
##                    50                   252                    79 
##            vgpnetwork              vgpunite                   via 
##                   133                  1595                  1957 
##                 vibes                 video            videogames 
##                    61                   543                   152 
##          videomortals                videos                  view 
##                    59                    50                    88 
##                 views               vincent    virtualphotography 
##                    47                    69                  2748 
##                 visit               vlootio                 voice 
##                    50                    83                    52 
##             vpcontext           vpcyberpunk             vpeclipse 
##                   140                    65                   307 
##              vpgamers               vzcorps                  wait 
##                   168                   121                   268 
##               waiting                  wake                  walk 
##                   206                    66                    51 
##               walking           walkthrough                 wanna 
##                    49                   139                   129 
##                  want                wanted                 wants 
##                   542                   179                    65 
##                   war               warzone                 wasnt 
##                    55                    50                    50 
##                 watch              watching                   way 
##                   283                    66                   412 
##                  week               weekend                weekly 
##                   240                    94                    62 
##                 weeks                 weird               welcome 
##                    52                    64                   106 
##                  well                welles                  went 
##                   525                    55                   161 
##              whatever                 white                 whole 
##                    55                    64                   152 
##                  wild                  will                   wip 
##                   168                  1312                    65 
##                  wish               witcher           witchergame 
##                   170                   998                   132 
##               without               wizebot                 woman 
##                   130                   176                    48 
##                wonder             wonderful                  wont 
##                    83                    78                    64 
##                  word                 words                  work 
##                    80                    54                   458 
##                worked               working             workplace 
##                    79                   239                    79 
##                 works                 world             worldofvp 
##                    75                   337                   520 
##                 worse                 worst                 worth 
##                   117                    69                   137 
##                   wow                 wrong                   wtf 
##                   138                   140                    58 
##           wvpportrait                  xbox               xboxone 
##                    86                   686                   186 
##           xboxseriess           xboxseriesx             xboxshare 
##                    46                   318                   845 
##                  yeah                  year                 years 
##                   260                   230                   294 
##                   yes             yesterday                   yet 
##                   272                    82                   307 
##               youtube 
##                   769
itemFrequencyPlot(trans, support = 0.022)
itemFrequencyPlot(trans, topN = 25)
image(sample(trans, 1000))
rules <- apriori(trans, parameter = list(support = 0.01, confidence = 0.25, minlen = 2))
## Apriori
## 
## Parameter specification:
##  confidence minval smax arem  aval originalSupport maxtime support minlen
##        0.25    0.1    1 none FALSE            TRUE       5    0.01      2
##  maxlen target  ext
##      10  rules TRUE
## 
## Algorithmic control:
##  filter tree heap memopt load sort verbose
##     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
## 
## Absolute minimum support count: 455 
## 
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[1123 item(s), 45559 transaction(s)] done [0.05s].
## sorting and recoding items ... [92 item(s)] done [0.00s].
## creating transaction tree ... done [0.02s].
## checking subsets of size 1 2 3 4 5 6 7 8 9 10
## Warning in apriori(trans, parameter = list(support = 0.01, confidence = 0.25, :
## Mining stopped (maxlen reached). Only patterns up to a length of 10 returned!
##  done [0.00s].
## writing ... [5318 rule(s)] done [0.00s].
## creating S4 object  ... done [0.00s].
arules::inspect(sort(rules, by = "lift")[1:15])
##      lhs                                          rhs      support confidence
## [1]  {edge, razorsharp}                        => {travel} 0.01025 1.0000    
## [2]  {edge, epic}                              => {travel} 0.01025 1.0000    
## [3]  {edge, time}                              => {travel} 0.01025 1.0000    
## [4]  {edge, epic, razorsharp}                  => {travel} 0.01025 1.0000    
## [5]  {edge, razorsharp, time}                  => {travel} 0.01025 1.0000    
## [6]  {cyberpunk, edge, razorsharp}             => {travel} 0.01025 1.0000    
## [7]  {edge, epic, time}                        => {travel} 0.01025 1.0000    
## [8]  {cyberpunk, edge, epic}                   => {travel} 0.01025 1.0000    
## [9]  {cyberpunk, edge, time}                   => {travel} 0.01025 1.0000    
## [10] {edge, epic, razorsharp, time}            => {travel} 0.01025 1.0000    
## [11] {cyberpunk, edge, epic, razorsharp}       => {travel} 0.01025 1.0000    
## [12] {cyberpunk, edge, razorsharp, time}       => {travel} 0.01025 1.0000    
## [13] {cyberpunk, edge, epic, time}             => {travel} 0.01025 1.0000    
## [14] {cyberpunk, edge, epic, razorsharp, time} => {travel} 0.01025 1.0000    
## [15] {epic, travel}                            => {edge}   0.01025 0.5808    
##      coverage lift  count
## [1]  0.01025  54.89 467  
## [2]  0.01025  54.89 467  
## [3]  0.01025  54.89 467  
## [4]  0.01025  54.89 467  
## [5]  0.01025  54.89 467  
## [6]  0.01025  54.89 467  
## [7]  0.01025  54.89 467  
## [8]  0.01025  54.89 467  
## [9]  0.01025  54.89 467  
## [10] 0.01025  54.89 467  
## [11] 0.01025  54.89 467  
## [12] 0.01025  54.89 467  
## [13] 0.01025  54.89 467  
## [14] 0.01025  54.89 467  
## [15] 0.01765  54.68 467
arules::inspect(sort(rules, by = "confidence")[1:15])
##      lhs                            rhs          support confidence coverage
## [1]  {rcyberpunkgame}            => {via}        0.01348 1          0.01348 
## [2]  {rcyberpunk}                => {via}        0.01591 1          0.01591 
## [3]  {razorsharp}                => {cyberpunk}  0.02105 1          0.02105 
## [4]  {cyberpunk, rcyberpunkgame} => {via}        0.01137 1          0.01137 
## [5]  {gaming, rcyberpunk}        => {via}        0.01051 1          0.01051 
## [6]  {cyberpunk, rcyberpunk}     => {via}        0.01414 1          0.01414 
## [7]  {edge, travel}              => {razorsharp} 0.01025 1          0.01025 
## [8]  {edge, razorsharp}          => {travel}     0.01025 1          0.01025 
## [9]  {edge, travel}              => {epic}       0.01025 1          0.01025 
## [10] {edge, epic}                => {travel}     0.01025 1          0.01025 
## [11] {edge, travel}              => {time}       0.01025 1          0.01025 
## [12] {edge, time}                => {travel}     0.01025 1          0.01025 
## [13] {edge, travel}              => {cyberpunk}  0.01025 1          0.01025 
## [14] {edge, razorsharp}          => {epic}       0.01025 1          0.01025 
## [15] {edge, epic}                => {razorsharp} 0.01025 1          0.01025 
##      lift  count
## [1]  23.28 614  
## [2]  23.28 725  
## [3]   1.49 959  
## [4]  23.28 518  
## [5]  23.28 479  
## [6]  23.28 644  
## [7]  47.51 467  
## [8]  54.89 467  
## [9]  43.22 467  
## [10] 54.89 467  
## [11] 21.68 467  
## [12] 54.89 467  
## [13]  1.49 467  
## [14] 43.22 467  
## [15] 47.51 467
arules::inspect(sort(rules, by = "support")[1:15])
##      lhs                     rhs         support confidence coverage lift   
## [1]  {cdprojektred}       => {cyberpunk} 0.07636 0.8050     0.09487   1.1993
## [2]  {game}               => {cyberpunk} 0.05641 0.5539     0.10185   0.8252
## [3]  {psshare}            => {cyberpunk} 0.05555 0.9735     0.05707   1.4503
## [4]  {virtualphotography} => {cyberpunk} 0.05408 0.8967     0.06032   1.3359
## [5]  {projekt}            => {red}       0.04486 0.9199     0.04877  15.7970
## [6]  {red}                => {projekt}   0.04486 0.7704     0.05823  15.7970
## [7]  {cyberpunkgame}      => {cyberpunk} 0.03729 0.6198     0.06016   0.9235
## [8]  {via}                => {cyberpunk} 0.03584 0.8344     0.04296   1.2432
## [9]  {time}               => {cyberpunk} 0.03494 0.7577     0.04612   1.1289
## [10] {photomode}          => {cyberpunk} 0.03448 0.9521     0.03622   1.4185
## [11] {night}              => {cyberpunk} 0.03288 0.7939     0.04142   1.1827
## [12] {city}               => {night}     0.03222 0.8261     0.03900  19.9453
## [13] {night}              => {city}      0.03222 0.7780     0.04142  19.9453
## [14] {vgpunite}           => {cyberpunk} 0.03106 0.8871     0.03501   1.3217
## [15] {city}               => {cyberpunk} 0.03104 0.7957     0.03900   1.1855
##      count
## [1]  3479 
## [2]  2570 
## [3]  2531 
## [4]  2464 
## [5]  2044 
## [6]  2044 
## [7]  1699 
## [8]  1633 
## [9]  1592 
## [10] 1571 
## [11] 1498 
## [12] 1468 
## [13] 1468 
## [14] 1415 
## [15] 1414
arules::inspect(sort(rules, by = "count")[1:15])
##      lhs                     rhs         support confidence coverage lift   
## [1]  {cdprojektred}       => {cyberpunk} 0.07636 0.8050     0.09487   1.1993
## [2]  {game}               => {cyberpunk} 0.05641 0.5539     0.10185   0.8252
## [3]  {psshare}            => {cyberpunk} 0.05555 0.9735     0.05707   1.4503
## [4]  {virtualphotography} => {cyberpunk} 0.05408 0.8967     0.06032   1.3359
## [5]  {projekt}            => {red}       0.04486 0.9199     0.04877  15.7970
## [6]  {red}                => {projekt}   0.04486 0.7704     0.05823  15.7970
## [7]  {cyberpunkgame}      => {cyberpunk} 0.03729 0.6198     0.06016   0.9235
## [8]  {via}                => {cyberpunk} 0.03584 0.8344     0.04296   1.2432
## [9]  {time}               => {cyberpunk} 0.03494 0.7577     0.04612   1.1289
## [10] {photomode}          => {cyberpunk} 0.03448 0.9521     0.03622   1.4185
## [11] {night}              => {cyberpunk} 0.03288 0.7939     0.04142   1.1827
## [12] {city}               => {night}     0.03222 0.8261     0.03900  19.9453
## [13] {night}              => {city}      0.03222 0.7780     0.04142  19.9453
## [14] {vgpunite}           => {cyberpunk} 0.03106 0.8871     0.03501   1.3217
## [15] {city}               => {cyberpunk} 0.03104 0.7957     0.03900   1.1855
##      count
## [1]  3479 
## [2]  2570 
## [3]  2531 
## [4]  2464 
## [5]  2044 
## [6]  2044 
## [7]  1699 
## [8]  1633 
## [9]  1592 
## [10] 1571 
## [11] 1498 
## [12] 1468 
## [13] 1468 
## [14] 1415 
## [15] 1414
rules.xbox<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                       appearance=list(default="lhs", rhs="xbox"), control=list(verbose=F)) 
rules.xbox.byconf<-sort(rules.xbox, by="confidence", decreasing=TRUE)
arules::inspect(rules.xbox.byconf[1:10])
##      lhs                         rhs    support  confidence coverage lift  
## [1]  {xboxseriesx}            => {xbox} 0.002173 0.31132    0.006980 20.676
## [2]  {cyberpunk, xboxseriesx} => {xbox} 0.001954 0.30479    0.006409 20.242
## [3]  {series}                 => {xbox} 0.001383 0.24324    0.005685 16.154
## [4]  {cyberpunk, one}         => {xbox} 0.002744 0.13951    0.019667  9.265
## [5]  {playstation}            => {xbox} 0.001405 0.09861    0.014245  6.549
## [6]  {one}                    => {xbox} 0.003292 0.09677    0.034022  6.427
## [7]  {cyberpunk, part}        => {xbox} 0.001032 0.08918    0.011567  5.923
## [8]  {cyberpunk, xboxshare}   => {xbox} 0.001427 0.07711    0.018503  5.121
## [9]  {xboxshare}              => {xbox} 0.001427 0.07692    0.018547  5.109
## [10] {part}                   => {xbox} 0.001097 0.07519    0.014596  4.993
##      count
## [1]   99  
## [2]   89  
## [3]   63  
## [4]  125  
## [5]   64  
## [6]  150  
## [7]   47  
## [8]   65  
## [9]   65  
## [10]  50
rules.sony<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                       appearance=list(default="lhs", rhs="sony"), control=list(verbose=F)) 
rules.sony.byconf<-sort(rules.sony, by="confidence", decreasing=TRUE)
arules::inspect(rules.sony.byconf[1:2])
##     lhs              rhs    support  confidence coverage lift   count
## [1] {playstation} => {sony} 0.001778 0.12481    0.01425  23.209 81   
## [2] {cdpr}        => {sony} 0.001756 0.01625    0.10808   3.021 80
rules.witcher<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                       appearance=list(default="lhs", rhs="witcher"), control=list(verbose=F)) 
rules.witcher.byconf<-sort(rules.witcher, by="confidence", decreasing=TRUE)
arules::inspect(head(rules.witcher.byconf))
##     lhs                           rhs       support  confidence coverage lift 
## [1] {following, workplace}     => {witcher} 0.001097 1          0.001097 45.65
## [2] {projekt, workplace}       => {witcher} 0.001251 1          0.001251 45.65
## [3] {hunt, thewitcherwildhunt} => {witcher} 0.001119 1          0.001119 45.65
## [4] {thewitcherwildhunt, wild} => {witcher} 0.001119 1          0.001119 45.65
## [5] {thewitcher, wild}         => {witcher} 0.001163 1          0.001163 45.65
## [6] {play, wild}               => {witcher} 0.001010 1          0.001010 45.65
##     count
## [1] 50   
## [2] 57   
## [3] 51   
## [4] 51   
## [5] 53   
## [6] 46
rules.love<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                       appearance=list(default="lhs", rhs="love"), control=list(verbose=F)) 
rules.love.byconf<-sort(rules.love, by="confidence", decreasing=TRUE)
arules::inspect(head(rules.love.byconf))
##     lhs                  rhs    support  confidence coverage lift  count
## [1] {cyberpunk, much} => {love} 0.001163 0.17608    0.006607 7.326  53  
## [2] {much}            => {love} 0.001866 0.14050    0.013279 5.846  85  
## [3] {really}          => {love} 0.001032 0.05516    0.018701 2.295  47  
## [4] {fef}             => {love} 0.001251 0.05312    0.023552 2.210  57  
## [5] {cyberpunk, game} => {love} 0.002963 0.05253    0.056410 2.186 135  
## [6] {judy}            => {love} 0.001054 0.04683    0.022498 1.948  48
rules.xbox.r<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                    appearance=list(default="rhs", lhs="xbox"), control=list(verbose=F)) 
rules.xbox.byconf<-sort(rules.xbox.r, by="confidence", decreasing=TRUE)
arules::inspect(rules.xbox.byconf[1:10])
##      lhs       rhs            support  confidence coverage lift    count
## [1]  {xbox} => {cyberpunk}    0.011611 0.77114    0.01506   1.1489   529
## [2]  {}     => {cyberpunk}    0.671196 0.67120    1.00000   1.0000 30579
## [3]  {xbox} => {one}          0.003292 0.21866    0.01506   6.4270   150
## [4]  {xbox} => {cdprojektred} 0.002371 0.15743    0.01506   1.6595   108
## [5]  {xbox} => {xboxseriesx}  0.002173 0.14431    0.01506  20.6756    99
## [6]  {}     => {cdpr}         0.108080 0.10808    1.00000   1.0000  4924
## [7]  {}     => {game}         0.101846 0.10185    1.00000   1.0000  4640
## [8]  {xbox} => {game}         0.001493 0.09913    0.01506   0.9733    68
## [9]  {}     => {cdprojektred} 0.094866 0.09487    1.00000   1.0000  4322
## [10] {xbox} => {xboxshare}    0.001427 0.09475    0.01506   5.1087    65
rules.sony.r<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                    appearance=list(default="rhs", lhs="sony"), control=list(verbose=F)) 
rules.sony.byconf<-sort(rules.sony.r, by="confidence", decreasing=TRUE)
arules::inspect(rules.sony.byconf[1:5])
##     lhs       rhs           support  confidence coverage lift   count
## [1] {}     => {cyberpunk}   0.671196 0.6712     1.000000  1.000 30579
## [2] {sony} => {playstation} 0.001778 0.3306     0.005378 23.209    81
## [3] {sony} => {cdpr}        0.001756 0.3265     0.005378  3.021    80
## [4] {sony} => {cyberpunk}   0.001624 0.3020     0.005378  0.450    74
## [5] {}     => {cdpr}        0.108080 0.1081     1.000000  1.000  4924
rules.witcher.r<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                       appearance=list(default="rhs", lhs="witcher"), control=list(verbose=F)) 
rules.witcher.byconf<-sort(rules.witcher.r, by="confidence", decreasing=TRUE)
arules::inspect(head(rules.witcher.byconf))
##     lhs          rhs            support  confidence coverage lift   count
## [1] {}        => {cyberpunk}    0.671196 0.6712     1.00000  1.0000 30579
## [2] {witcher} => {cdpr}         0.006629 0.3026     0.02191  2.7998   302
## [3] {witcher} => {red}          0.005904 0.2695     0.02191  4.6287   269
## [4] {witcher} => {projekt}      0.005663 0.2585     0.02191  5.3005   258
## [5] {witcher} => {cyberpunk}    0.004170 0.1904     0.02191  0.2836   190
## [6] {witcher} => {cdprojektred} 0.003753 0.1713     0.02191  1.8062   171
rules.love.r<-apriori(data=trans, parameter=list(supp=0.001,conf = 0.0025), 
                    appearance=list(default="rhs", lhs="love"), control=list(verbose=F)) 
rules.love.byconf<-sort(rules.love.r, by="confidence", decreasing=TRUE)
arules::inspect(head(rules.love.byconf))
##     lhs       rhs         support  confidence coverage lift   count
## [1] {}     => {cyberpunk} 0.671196 0.67120    1.00000  1.0000 30579
## [2] {love} => {cyberpunk} 0.016001 0.66575    0.02403  0.9919   729
## [3] {love} => {game}      0.004258 0.17717    0.02403  1.7396   194
## [4] {}     => {cdpr}      0.108080 0.10808    1.00000  1.0000  4924
## [5] {}     => {game}      0.101846 0.10185    1.00000  1.0000  4640
## [6] {love} => {cdpr}      0.002283 0.09498    0.02403  0.8788   104
plot(rules, method="matrix", measure="lift")
## Itemsets in Antecedent (LHS)
##    [1] "{cyberpunk,edge,epic,razorsharp,time}"                                       
##    [2] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,razorsharp,time}"  
##    [3] "{cyberpunk,edge,epic,time}"                                                  
##    [4] "{cyberpunk,enter,epic,explore,future,inspired,razorsharp,time}"              
##    [5] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,time}"             
##    [6] "{cyberpunk,enter,epic,future,inspired,neojapanese,razorsharp,time}"          
##    [7] "{cyberpunk,epic,explore,future,inspired,neojapanese,razorsharp,time}"        
##    [8] "{cyberpunk,enter,epic,explore,future,inspired,time}"                         
##    [9] "{cyberpunk,edge,razorsharp,time}"                                            
##   [10] "{cyberpunk,enter,epic,future,inspired,razorsharp,time}"                      
##   [11] "{cyberpunk,enter,epic,future,inspired,neojapanese,time}"                     
##   [12] "{cyberpunk,epic,explore,future,inspired,razorsharp,time}"                    
##   [13] "{cyberpunk,epic,explore,future,inspired,neojapanese,time}"                   
##   [14] "{cyberpunk,enter,epic,future,inspired,time}"                                 
##   [15] "{cyberpunk,edge,time}"                                                       
##   [16] "{cyberpunk,epic,future,inspired,neojapanese,razorsharp,time}"                
##   [17] "{cyberpunk,epic,explore,future,inspired,time}"                               
##   [18] "{cyberpunk,epic,future,inspired,razorsharp,time}"                            
##   [19] "{cyberpunk,epic,future,inspired,neojapanese,time}"                           
##   [20] "{cyberpunk,epic,future,inspired,time}"                                       
##   [21] "{cyberpunk,enter,explore,future,inspired,neojapanese,razorsharp,time}"       
##   [22] "{cyberpunk,enter,explore,future,inspired,razorsharp,time}"                   
##   [23] "{cyberpunk,enter,epic,explore,future,neojapanese,razorsharp,time}"           
##   [24] "{cyberpunk,enter,epic,explore,future,razorsharp,time}"                       
##   [25] "{cyberpunk,enter,explore,future,inspired,neojapanese,time}"                  
##   [26] "{cyberpunk,enter,explore,future,inspired,time}"                              
##   [27] "{cyberpunk,enter,epic,explore,future,inspired,razorsharp,time,travel}"       
##   [28] "{cyberpunk,enter,epic,explore,future,time}"                                  
##   [29] "{cyberpunk,enter,epic,explore,future,neojapanese,time}"                      
##   [30] "{cyberpunk,enter,epic,explore,future,inspired,time,travel}"                  
##   [31] "{cyberpunk,enter,future,inspired,razorsharp,time}"                           
##   [32] "{cyberpunk,enter,future,inspired,time}"                                      
##   [33] "{cyberpunk,enter,epic,future,razorsharp,time}"                               
##   [34] "{cyberpunk,enter,epic,future,time}"                                          
##   [35] "{cyberpunk,enter,future,inspired,neojapanese,razorsharp,time}"               
##   [36] "{cyberpunk,enter,future,inspired,neojapanese,time}"                          
##   [37] "{cyberpunk,edge,epic,time,travel}"                                           
##   [38] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,time,travel}"      
##   [39] "{cyberpunk,enter,epic,future,neojapanese,time}"                              
##   [40] "{cyberpunk,enter,epic,future,neojapanese,razorsharp,time}"                   
##   [41] "{cyberpunk,explore,future,inspired,time}"                                    
##   [42] "{cyberpunk,explore,future,inspired,razorsharp,time}"                         
##   [43] "{cyberpunk,epic,explore,future,time}"                                        
##   [44] "{cyberpunk,epic,explore,future,razorsharp,time}"                             
##   [45] "{cyberpunk,explore,future,inspired,neojapanese,time}"                        
##   [46] "{cyberpunk,enter,epic,future,inspired,time,travel}"                          
##   [47] "{cyberpunk,future,inspired,time}"                                            
##   [48] "{cyberpunk,epic,explore,future,neojapanese,time}"                            
##   [49] "{cyberpunk,explore,future,inspired,neojapanese,razorsharp,time}"             
##   [50] "{cyberpunk,epic,future,time}"                                                
##   [51] "{cyberpunk,future,inspired,razorsharp,time}"                                 
##   [52] "{cyberpunk,enter,epic,future,inspired,razorsharp,time,travel}"               
##   [53] "{cyberpunk,epic,future,razorsharp,time}"                                     
##   [54] "{cyberpunk,epic,explore,future,neojapanese,razorsharp,time}"                 
##   [55] "{cyberpunk,future,inspired,neojapanese,time}"                                
##   [56] "{cyberpunk,epic,future,neojapanese,time}"                                    
##   [57] "{cyberpunk,future,inspired,neojapanese,razorsharp,time}"                     
##   [58] "{cyberpunk,enter,epic,future,inspired,neojapanese,time,travel}"              
##   [59] "{cyberpunk,epic,future,neojapanese,razorsharp,time}"                         
##   [60] "{cyberpunk,epic,explore,future,inspired,time,travel}"                        
##   [61] "{cyberpunk,epic,future,inspired,time,travel}"                                
##   [62] "{cyberpunk,epic,explore,future,inspired,razorsharp,time,travel}"             
##   [63] "{cyberpunk,epic,future,inspired,razorsharp,time,travel}"                     
##   [64] "{cyberpunk,epic,explore,future,inspired,neojapanese,time,travel}"            
##   [65] "{cyberpunk,epic,future,inspired,neojapanese,time,travel}"                    
##   [66] "{cyberpunk,enter,epic,future,inspired,neojapanese,razorsharp,time,travel}"   
##   [67] "{cyberpunk,enter,future,time}"                                               
##   [68] "{cyberpunk,enter,explore,future,time}"                                       
##   [69] "{cyberpunk,explore,future,time}"                                             
##   [70] "{cyberpunk,enter,future,razorsharp,time}"                                    
##   [71] "{cyberpunk,future,time}"                                                     
##   [72] "{cyberpunk,enter,explore,future,razorsharp,time}"                            
##   [73] "{cyberpunk,enter,future,neojapanese,time}"                                   
##   [74] "{cyberpunk,future,razorsharp,time}"                                          
##   [75] "{cyberpunk,enter,explore,future,neojapanese,time}"                           
##   [76] "{cyberpunk,future,neojapanese,time}"                                         
##   [77] "{cyberpunk,explore,future,razorsharp,time}"                                  
##   [78] "{cyberpunk,epic,future,inspired,neojapanese,razorsharp,time,travel}"         
##   [79] "{cyberpunk,explore,future,neojapanese,time}"                                 
##   [80] "{cyberpunk,enter,future,neojapanese,razorsharp,time}"                        
##   [81] "{cyberpunk,future,neojapanese,razorsharp,time}"                              
##   [82] "{cyberpunk,enter,epic,inspired,time}"                                        
##   [83] "{cyberpunk,epic,inspired,time}"                                              
##   [84] "{cyberpunk,enter,future,inspired,time,travel}"                               
##   [85] "{cyberpunk,future,inspired,time,travel}"                                     
##   [86] "{cyberpunk,enter,epic,future,time,travel}"                                   
##   [87] "{cyberpunk,enter,explore,future,neojapanese,razorsharp,time}"                
##   [88] "{cyberpunk,epic,future,time,travel}"                                         
##   [89] "{cyberpunk,explore,future,neojapanese,razorsharp,time}"                      
##   [90] "{cyberpunk,enter,epic,explore,inspired,time}"                                
##   [91] "{cyberpunk,epic,explore,inspired,time}"                                      
##   [92] "{cyberpunk,epic,explore,future,inspired,neojapanese,razorsharp,time,travel}" 
##   [93] "{cyberpunk,explore,future,inspired,time,travel}"                             
##   [94] "{cyberpunk,enter,explore,future,inspired,time,travel}"                       
##   [95] "{cyberpunk,epic,explore,future,time,travel}"                                 
##   [96] "{cyberpunk,enter,epic,explore,future,time,travel}"                           
##   [97] "{cyberpunk,epic,inspired,razorsharp,time}"                                   
##   [98] "{cyberpunk,enter,epic,inspired,razorsharp,time}"                             
##   [99] "{cyberpunk,epic,inspired,neojapanese,time}"                                  
##  [100] "{cyberpunk,enter,epic,inspired,neojapanese,time}"                            
##  [101] "{cyberpunk,future,inspired,razorsharp,time,travel}"                          
##  [102] "{cyberpunk,epic,future,razorsharp,time,travel}"                              
##  [103] "{cyberpunk,future,inspired,neojapanese,time,travel}"                         
##  [104] "{cyberpunk,enter,future,inspired,razorsharp,time,travel}"                    
##  [105] "{cyberpunk,epic,explore,inspired,razorsharp,time}"                           
##  [106] "{cyberpunk,epic,time}"                                                       
##  [107] "{cyberpunk,epic,future,neojapanese,time,travel}"                             
##  [108] "{cyberpunk,inspired,time}"                                                   
##  [109] "{cyberpunk,enter,epic,future,razorsharp,time,travel}"                        
##  [110] "{cyberpunk,epic,explore,inspired,neojapanese,time}"                          
##  [111] "{cyberpunk,enter,future,inspired,neojapanese,time,travel}"                   
##  [112] "{cyberpunk,enter,inspired,time}"                                             
##  [113] "{cyberpunk,enter,epic,explore,inspired,razorsharp,time}"                     
##  [114] "{cyberpunk,epic,razorsharp,time}"                                            
##  [115] "{cyberpunk,enter,epic,time}"                                                 
##  [116] "{cyberpunk,enter,epic,future,neojapanese,time,travel}"                       
##  [117] "{cyberpunk,future,time,travel}"                                              
##  [118] "{cyberpunk,enter,epic,explore,inspired,neojapanese,time}"                    
##  [119] "{cyberpunk,explore,inspired,time}"                                           
##  [120] "{cyberpunk,explore,future,inspired,razorsharp,time,travel}"                  
##  [121] "{cyberpunk,epic,explore,time}"                                               
##  [122] "{cyberpunk,epic,inspired,neojapanese,razorsharp,time}"                       
##  [123] "{cyberpunk,enter,future,time,travel}"                                        
##  [124] "{cyberpunk,epic,explore,future,razorsharp,time,travel}"                      
##  [125] "{cyberpunk,explore,future,inspired,neojapanese,time,travel}"                 
##  [126] "{cyberpunk,enter,explore,inspired,time}"                                     
##  [127] "{cyberpunk,inspired,razorsharp,time}"                                        
##  [128] "{cyberpunk,enter,epic,explore,time}"                                         
##  [129] "{cyberpunk,epic,explore,future,neojapanese,time,travel}"                     
##  [130] "{cyberpunk,inspired,neojapanese,time}"                                       
##  [131] "{cyberpunk,epic,neojapanese,time}"                                           
##  [132] "{cyberpunk,explore,future,time,travel}"                                      
##  [133] "{cyberpunk,enter,epic,inspired,neojapanese,razorsharp,time}"                 
##  [134] "{cyberpunk,enter,inspired,razorsharp,time}"                                  
##  [135] "{cyberpunk,enter,explore,future,inspired,razorsharp,time,travel}"            
##  [136] "{cyberpunk,enter,epic,razorsharp,time}"                                      
##  [137] "{cyberpunk,razorsharp,time}"                                                 
##  [138] "{cyberpunk,enter,inspired,neojapanese,time}"                                 
##  [139] "{cyberpunk,enter,epic,neojapanese,time}"                                     
##  [140] "{cyberpunk,future,inspired,neojapanese,razorsharp,time,travel}"              
##  [141] "{cyberpunk,future,razorsharp,time,travel}"                                   
##  [142] "{cyberpunk,enter,epic,explore,future,razorsharp,time,travel}"                
##  [143] "{cyberpunk,epic,time,travel}"                                                
##  [144] "{cyberpunk,enter,time}"                                                      
##  [145] "{cyberpunk,enter,explore,future,time,travel}"                                
##  [146] "{cyberpunk,explore,inspired,razorsharp,time}"                                
##  [147] "{cyberpunk,edge,time,travel}"                                                
##  [148] "{cyberpunk,enter,explore,future,inspired,neojapanese,time,travel}"           
##  [149] "{cyberpunk,future,neojapanese,time,travel}"                                  
##  [150] "{cyberpunk,epic,future,neojapanese,razorsharp,time,travel}"                  
##  [151] "{cyberpunk,epic,explore,razorsharp,time}"                                    
##  [152] "{cyberpunk,explore,inspired,neojapanese,time}"                               
##  [153] "{cyberpunk,epic,explore,inspired,neojapanese,razorsharp,time}"               
##  [154] "{cyberpunk,epic,explore,neojapanese,time}"                                   
##  [155] "{cyberpunk,explore,time}"                                                    
##  [156] "{cyberpunk,enter,epic,explore,future,neojapanese,time,travel}"               
##  [157] "{cyberpunk,enter,future,razorsharp,time,travel}"                             
##  [158] "{cyberpunk,enter,explore,time}"                                              
##  [159] "{cyberpunk,inspired,neojapanese,razorsharp,time}"                            
##  [160] "{cyberpunk,neojapanese,time}"                                                
##  [161] "{cyberpunk,enter,explore,inspired,razorsharp,time}"                          
##  [162] "{cyberpunk,epic,neojapanese,razorsharp,time}"                                
##  [163] "{cyberpunk,enter,future,neojapanese,time,travel}"                            
##  [164] "{cyberpunk,enter,epic,explore,razorsharp,time}"                              
##  [165] "{cyberpunk,enter,explore,inspired,neojapanese,time}"                         
##  [166] "{cyberpunk,enter,razorsharp,time}"                                           
##  [167] "{cyberpunk,epic,inspired,time,travel}"                                       
##  [168] "{cyberpunk,enter,epic,explore,neojapanese,time}"                             
##  [169] "{cyberpunk,explore,future,razorsharp,time,travel}"                           
##  [170] "{cyberpunk,enter,neojapanese,time}"                                          
##  [171] "{cyberpunk,epic,razorsharp,time,travel}"                                     
##  [172] "{cyberpunk,enter,future,inspired,neojapanese,razorsharp,time,travel}"        
##  [173] "{cyberpunk,explore,future,neojapanese,time,travel}"                          
##  [174] "{cyberpunk,explore,razorsharp,time}"                                         
##  [175] "{cyberpunk,time,travel}"                                                     
##  [176] "{cyberpunk,explore,neojapanese,time}"                                        
##  [177] "{cyberpunk,enter,inspired,neojapanese,razorsharp,time}"                      
##  [178] "{cyberpunk,enter,epic,future,neojapanese,razorsharp,time,travel}"            
##  [179] "{cyberpunk,enter,epic,neojapanese,razorsharp,time}"                          
##  [180] "{cyberpunk,enter,epic,explore,inspired,neojapanese,razorsharp,time}"         
##  [181] "{cyberpunk,future,neojapanese,razorsharp,time,travel}"                       
##  [182] "{cyberpunk,enter,epic,inspired,time,travel}"                                 
##  [183] "{cyberpunk,neojapanese,razorsharp,time}"                                     
##  [184] "{cyberpunk,explore,inspired,neojapanese,razorsharp,time}"                    
##  [185] "{cyberpunk,inspired,time,travel}"                                            
##  [186] "{cyberpunk,enter,explore,razorsharp,time}"                                   
##  [187] "{cyberpunk,epic,explore,neojapanese,razorsharp,time}"                        
##  [188] "{cyberpunk,razorsharp,time,travel}"                                          
##  [189] "{cyberpunk,explore,future,inspired,neojapanese,razorsharp,time,travel}"      
##  [190] "{cyberpunk,enter,explore,neojapanese,time}"                                  
##  [191] "{cyberpunk,enter,explore,future,razorsharp,time,travel}"                     
##  [192] "{cyberpunk,epic,explore,inspired,time,travel}"                               
##  [193] "{cyberpunk,epic,explore,future,neojapanese,razorsharp,time,travel}"          
##  [194] "{cyberpunk,enter,explore,future,neojapanese,time,travel}"                    
##  [195] "{cyberpunk,enter,neojapanese,razorsharp,time}"                               
##  [196] "{cyberpunk,enter,inspired,time,travel}"                                      
##  [197] "{cyberpunk,epic,inspired,razorsharp,time,travel}"                            
##  [198] "{cyberpunk,enter,epic,time,travel}"                                          
##  [199] "{cyberpunk,explore,neojapanese,razorsharp,time}"                             
##  [200] "{cyberpunk,epic,inspired,neojapanese,time,travel}"                           
##  [201] "{cyberpunk,explore,inspired,time,travel}"                                    
##  [202] "{cyberpunk,enter,future,neojapanese,razorsharp,time,travel}"                 
##  [203] "{cyberpunk,epic,explore,time,travel}"                                        
##  [204] "{cyberpunk,enter,explore,inspired,neojapanese,razorsharp,time}"              
##  [205] "{cyberpunk,enter,epic,explore,neojapanese,razorsharp,time}"                  
##  [206] "{cyberpunk,enter,time,travel}"                                               
##  [207] "{cyberpunk,inspired,razorsharp,time,travel}"                                 
##  [208] "{cyberpunk,inspired,neojapanese,time,travel}"                                
##  [209] "{cyberpunk,explore,future,neojapanese,razorsharp,time,travel}"               
##  [210] "{cyberpunk,epic,neojapanese,time,travel}"                                    
##  [211] "{cyberpunk,explore,time,travel}"                                             
##  [212] "{cyberpunk,enter,epic,explore,inspired,time,travel}"                         
##  [213] "{cyberpunk,enter,explore,neojapanese,razorsharp,time}"                       
##  [214] "{cyberpunk,neojapanese,time,travel}"                                         
##  [215] "{cyberpunk,enter,epic,inspired,razorsharp,time,travel}"                      
##  [216] "{cyberpunk,enter,explore,inspired,time,travel}"                              
##  [217] "{cyberpunk,enter,epic,explore,time,travel}"                                  
##  [218] "{cyberpunk,enter,epic,inspired,neojapanese,time,travel}"                     
##  [219] "{cyberpunk,enter,inspired,razorsharp,time,travel}"                           
##  [220] "{cyberpunk,enter,explore,time,travel}"                                       
##  [221] "{cyberpunk,epic,explore,inspired,razorsharp,time,travel}"                    
##  [222] "{cyberpunk,enter,epic,razorsharp,time,travel}"                               
##  [223] "{cyberpunk,enter,inspired,neojapanese,time,travel}"                          
##  [224] "{cyberpunk,enter,epic,neojapanese,time,travel}"                              
##  [225] "{cyberpunk,epic,explore,inspired,neojapanese,time,travel}"                   
##  [226] "{cyberpunk,enter,razorsharp,time,travel}"                                    
##  [227] "{cyberpunk,explore,inspired,razorsharp,time,travel}"                         
##  [228] "{cyberpunk,enter,neojapanese,time,travel}"                                   
##  [229] "{cyberpunk,epic,explore,razorsharp,time,travel}"                             
##  [230] "{cyberpunk,explore,inspired,neojapanese,time,travel}"                        
##  [231] "{cyberpunk,epic,explore,neojapanese,time,travel}"                            
##  [232] "{cyberpunk,explore,razorsharp,time,travel}"                                  
##  [233] "{cyberpunk,explore,neojapanese,time,travel}"                                 
##  [234] "{cyberpunk,epic,inspired,neojapanese,razorsharp,time,travel}"                
##  [235] "{cyberpunk,inspired,neojapanese,razorsharp,time,travel}"                     
##  [236] "{cyberpunk,epic,neojapanese,razorsharp,time,travel}"                         
##  [237] "{cyberpunk,neojapanese,razorsharp,time,travel}"                              
##  [238] "{cyberpunk,edge,razorsharp,time,travel}"                                     
##  [239] "{cyberpunk,enter,explore,future,inspired,neojapanese,razorsharp,time,travel}"
##  [240] "{cyberpunk,enter,explore,future,neojapanese,razorsharp,time,travel}"         
##  [241] "{cyberpunk,enter,epic,explore,future,neojapanese,razorsharp,time,travel}"    
##  [242] "{cyberpunk,enter,explore,razorsharp,time,travel}"                            
##  [243] "{cyberpunk,enter,explore,neojapanese,time,travel}"                           
##  [244] "{cyberpunk,enter,explore,inspired,razorsharp,time,travel}"                   
##  [245] "{cyberpunk,enter,epic,explore,razorsharp,time,travel}"                       
##  [246] "{cyberpunk,enter,explore,inspired,neojapanese,time,travel}"                  
##  [247] "{cyberpunk,enter,epic,explore,neojapanese,time,travel}"                      
##  [248] "{cyberpunk,enter,neojapanese,razorsharp,time,travel}"                        
##  [249] "{cyberpunk,enter,epic,explore,inspired,razorsharp,time,travel}"              
##  [250] "{cyberpunk,epic,travel}"                                                     
##  [251] "{cyberpunk,explore,neojapanese,razorsharp,time,travel}"                      
##  [252] "{cyberpunk,enter,inspired,neojapanese,razorsharp,time,travel}"               
##  [253] "{cyberpunk,enter,epic,neojapanese,razorsharp,time,travel}"                   
##  [254] "{cyberpunk,enter,epic,explore,inspired,neojapanese,time,travel}"             
##  [255] "{cyberpunk,future,travel}"                                                   
##  [256] "{cyberpunk,explore,inspired,neojapanese,razorsharp,time,travel}"             
##  [257] "{cyberpunk,future,inspired,travel}"                                          
##  [258] "{cyberpunk,epic,future,travel}"                                              
##  [259] "{cyberpunk,epic,explore,neojapanese,razorsharp,time,travel}"                 
##  [260] "{cyberpunk,future,inspired}"                                                 
##  [261] "{cyberpunk,epic,future}"                                                     
##  [262] "{cyberpunk,enter,epic,inspired,neojapanese,razorsharp,time,travel}"          
##  [263] "{cyberpunk,epic,future,inspired,travel}"                                     
##  [264] "{cyberpunk,epic,future,inspired}"                                            
##  [265] "{cyberpunk,razorsharp,travel}"                                               
##  [266] "{cyberpunk,future,razorsharp}"                                               
##  [267] "{cyberpunk,travel}"                                                          
##  [268] "{cyberpunk,epic,razorsharp,travel}"                                          
##  [269] "{cyberpunk,epic,explore,inspired,neojapanese,razorsharp,time,travel}"        
##  [270] "{cyberpunk,enter,future,travel}"                                             
##  [271] "{cyberpunk,future,inspired,razorsharp}"                                      
##  [272] "{cyberpunk,enter,future}"                                                    
##  [273] "{cyberpunk,epic,future,razorsharp}"                                          
##  [274] "{cyberpunk,explore,future}"                                                  
##  [275] "{cyberpunk,explore,future,travel}"                                           
##  [276] "{cyberpunk,inspired,travel}"                                                 
##  [277] "{cyberpunk,future,razorsharp,travel}"                                        
##  [278] "{cyberpunk,future,neojapanese}"                                              
##  [279] "{cyberpunk,enter,future,inspired}"                                           
##  [280] "{cyberpunk,enter,epic,future}"                                               
##  [281] "{cyberpunk,future,neojapanese,travel}"                                       
##  [282] "{cyberpunk,enter,future,inspired,travel}"                                    
##  [283] "{cyberpunk,enter,epic,future,travel}"                                        
##  [284] "{cyberpunk,edge,epic}"                                                       
##  [285] "{cyberpunk,explore,future,inspired}"                                         
##  [286] "{cyberpunk,epic,explore,future}"                                             
##  [287] "{cyberpunk,epic,future,inspired,razorsharp}"                                 
##  [288] "{cyberpunk,explore,future,inspired,travel}"                                  
##  [289] "{cyberpunk,epic,explore,future,travel}"                                      
##  [290] "{cyberpunk,epic,inspired}"                                                   
##  [291] "{cyberpunk,epic,inspired,travel}"                                            
##  [292] "{cyberpunk,future,inspired,neojapanese}"                                     
##  [293] "{cyberpunk,epic,future,neojapanese}"                                         
##  [294] "{cyberpunk,enter,explore,neojapanese,razorsharp,time,travel}"                
##  [295] "{cyberpunk,future,inspired,razorsharp,travel}"                               
##  [296] "{cyberpunk,enter,epic,future,inspired}"                                      
##  [297] "{cyberpunk,epic,razorsharp}"                                                 
##  [298] "{cyberpunk,enter,future,razorsharp}"                                         
##  [299] "{cyberpunk,epic,future,razorsharp,travel}"                                   
##  [300] "{cyberpunk,future,inspired,neojapanese,travel}"                              
##  [301] "{cyberpunk,epic,future,neojapanese,travel}"                                  
##  [302] "{cyberpunk,enter,travel}"                                                    
##  [303] "{cyberpunk,explore,future,razorsharp}"                                       
##  [304] "{cyberpunk,inspired,razorsharp}"                                             
##  [305] "{cyberpunk,epic,explore,future,inspired}"                                    
##  [306] "{cyberpunk,explore,travel}"                                                  
##  [307] "{cyberpunk,enter,epic,future,inspired,travel}"                               
##  [308] "{cyberpunk,neojapanese}"                                                     
##  [309] "{cyberpunk,future,neojapanese,razorsharp}"                                   
##  [310] "{epic,time}"                                                                 
##  [311] "{cyberpunk,enter,inspired}"                                                  
##  [312] "{cyberpunk,enter,epic}"                                                      
##  [313] "{cyberpunk,enter,explore,future}"                                            
##  [314] "{cyberpunk,epic,future,inspired,neojapanese}"                                
##  [315] "{future,inspired,time}"                                                      
##  [316] "{cyberpunk,epic,explore,future,inspired,travel}"                             
##  [317] "{cyberpunk,neojapanese,travel}"                                              
##  [318] "{epic,future,time}"                                                          
##  [319] "{cyberpunk,explore,inspired}"                                                
##  [320] "{cyberpunk,epic,explore}"                                                    
##  [321] "{future,time}"                                                               
##  [322] "{cyberpunk,razorsharp}"                                                      
##  [323] "{cyberpunk,enter,future,inspired,razorsharp}"                                
##  [324] "{cyberpunk,enter,inspired,travel}"                                           
##  [325] "{cyberpunk,edge}"                                                            
##  [326] "{cyberpunk,enter,epic,future,razorsharp}"                                    
##  [327] "{cyberpunk,enter,epic,travel}"                                               
##  [328] "{cyberpunk,enter,future,neojapanese}"                                        
##  [329] "{cyberpunk,enter,explore,future,travel}"                                     
##  [330] "{cyberpunk,epic,inspired,razorsharp}"                                        
##  [331] "{cyberpunk,epic,future,inspired,razorsharp,travel}"                          
##  [332] "{cyberpunk,inspired,neojapanese}"                                            
##  [333] "{cyberpunk,epic,neojapanese}"                                                
##  [334] "{cyberpunk,explore,future,inspired,razorsharp}"                              
##  [335] "{cyberpunk,explore,inspired,travel}"                                         
##  [336] "{razorsharp,time}"                                                           
##  [337] "{cyberpunk,epic,explore,travel}"                                             
##  [338] "{cyberpunk,epic,explore,future,razorsharp}"                                  
##  [339] "{cyberpunk,explore,future,neojapanese}"                                      
##  [340] "{cyberpunk,epic,future,inspired,neojapanese,travel}"                         
##  [341] "{cyberpunk,enter,razorsharp}"                                                
##  [342] "{cyberpunk,enter,future,razorsharp,travel}"                                  
##  [343] "{cyberpunk,inspired,razorsharp,travel}"                                      
##  [344] "{cyberpunk,enter,epic,inspired}"                                             
##  [345] "{cyberpunk,explore,razorsharp}"                                              
##  [346] "{cyberpunk,enter,future,neojapanese,travel}"                                 
##  [347] "{cyberpunk,inspired,neojapanese,travel}"                                     
##  [348] "{cyberpunk,epic,neojapanese,travel}"                                         
##  [349] "{cyberpunk,future,inspired,neojapanese,razorsharp}"                          
##  [350] "{epic,future,inspired,time}"                                                 
##  [351] "{cyberpunk,explore,future,razorsharp,travel}"                                
##  [352] "{cyberpunk,epic,future,neojapanese,razorsharp}"                              
##  [353] "{cyberpunk,enter,explore,future,inspired}"                                   
##  [354] "{cyberpunk,enter,epic,explore,future}"                                       
##  [355] "{cyberpunk,epic,explore,inspired}"                                           
##  [356] "{cyberpunk,explore}"                                                         
##  [357] "{enter,future,time}"                                                         
##  [358] "{inspired,time}"                                                             
##  [359] "{cyberpunk,explore,future,neojapanese,travel}"                               
##  [360] "{cyberpunk,enter}"                                                           
##  [361] "{cyberpunk,neojapanese,razorsharp}"                                          
##  [362] "{epic,razorsharp,time}"                                                      
##  [363] "{explore,future,time}"                                                       
##  [364] "{cyberpunk,enter,explore}"                                                   
##  [365] "{cyberpunk,enter,explore,inspired,neojapanese,razorsharp,time,travel}"       
##  [366] "{cyberpunk,epic,inspired,neojapanese}"                                       
##  [367] "{cyberpunk,future,neojapanese,razorsharp,travel}"                            
##  [368] "{cyberpunk,enter,epic,inspired,travel}"                                      
##  [369] "{cyberpunk,enter,future,inspired,neojapanese}"                               
##  [370] "{cyberpunk,enter,epic,future,neojapanese}"                                   
##  [371] "{cyberpunk,enter,neojapanese}"                                               
##  [372] "{future,razorsharp,time}"                                                    
##  [373] "{cyberpunk,enter,inspired,razorsharp}"                                       
##  [374] "{cyberpunk,enter,epic,explore,neojapanese,razorsharp,time,travel}"           
##  [375] "{future,neojapanese,time}"                                                   
##  [376] "{cyberpunk,enter,epic,razorsharp}"                                           
##  [377] "{cyberpunk,enter,epic,future,inspired,razorsharp}"                           
##  [378] "{cyberpunk,explore,neojapanese}"                                             
##  [379] "{cyberpunk,enter,explore,travel}"                                            
##  [380] "{cyberpunk,epic,explore,inspired,travel}"                                    
##  [381] "{cyberpunk,explore,future,inspired,neojapanese}"                             
##  [382] "{cyberpunk,epic,explore,future,neojapanese}"                                 
##  [383] "{cyberpunk,enter,explore,future,inspired,travel}"                            
##  [384] "{cyberpunk,explore,inspired,razorsharp}"                                     
##  [385] "{cyberpunk,enter,epic,explore,future,travel}"                                
##  [386] "{cyberpunk,epic,explore,razorsharp}"                                         
##  [387] "{time,travel}"                                                               
##  [388] "{cyberpunk,enter,explore,future,razorsharp}"                                 
##  [389] "{cyberpunk,enter,razorsharp,travel}"                                         
##  [390] "{cyberpunk,epic,explore,future,inspired,razorsharp}"                         
##  [391] "{cyberpunk,edge,razorsharp}"                                                 
##  [392] "{cyberpunk,epic,inspired,razorsharp,travel}"                                 
##  [393] "{epic,inspired,time}"                                                        
##  [394] "{cyberpunk,enter,neojapanese,travel}"                                        
##  [395] "{epic,time,travel}"                                                          
##  [396] "{enter,time}"                                                                
##  [397] "{enter,future,inspired,time}"                                                
##  [398] "{cyberpunk,epic,inspired,neojapanese,travel}"                                
##  [399] "{cyberpunk,inspired,neojapanese,razorsharp}"                                 
##  [400] "{cyberpunk,enter,future,inspired,razorsharp,travel}"                         
##  [401] "{enter,epic,future,time}"                                                    
##  [402] "{cyberpunk,explore,razorsharp,travel}"                                       
##  [403] "{cyberpunk,epic,neojapanese,razorsharp}"                                     
##  [404] "{cyberpunk,enter,explore,inspired}"                                          
##  [405] "{cyberpunk,enter,epic,explore}"                                              
##  [406] "{cyberpunk,enter,epic,future,razorsharp,travel}"                             
##  [407] "{cyberpunk,explore,neojapanese,travel}"                                      
##  [408] "{cyberpunk,enter,future,inspired,neojapanese,travel}"                        
##  [409] "{explore,future,inspired,time}"                                              
##  [410] "{cyberpunk,enter,future,neojapanese,razorsharp}"                             
##  [411] "{explore,time}"                                                              
##  [412] "{cyberpunk,enter,epic,future,neojapanese,travel}"                            
##  [413] "{epic,explore,future,time}"                                                  
##  [414] "{neojapanese,time}"                                                          
##  [415] "{cyberpunk,explore,future,inspired,razorsharp,travel}"                       
##  [416] "{cyberpunk,epic,future,inspired,neojapanese,razorsharp}"                     
##  [417] "{cyberpunk,enter,epic,explore,future,inspired}"                              
##  [418] "{cyberpunk,enter,inspired,neojapanese}"                                      
##  [419] "{cyberpunk,enter,epic,neojapanese}"                                          
##  [420] "{cyberpunk,epic,explore,future,razorsharp,travel}"                           
##  [421] "{future,inspired,razorsharp,time}"                                           
##  [422] "{cyberpunk,explore,future,neojapanese,razorsharp}"                           
##  [423] "{cyberpunk,explore,future,inspired,neojapanese,travel}"                      
##  [424] "{cyberpunk,neojapanese,razorsharp,travel}"                                   
##  [425] "{epic,future,razorsharp,time}"                                               
##  [426] "{future,inspired,neojapanese,time}"                                          
##  [427] "{cyberpunk,epic,explore,future,neojapanese,travel}"                          
##  [428] "{epic,future,neojapanese,time}"                                              
##  [429] "{cyberpunk,explore,inspired,neojapanese}"                                    
##  [430] "{cyberpunk,epic,explore,neojapanese}"                                        
##  [431] "{cyberpunk,enter,epic,inspired,razorsharp}"                                  
##  [432] "{enter,inspired,time}"                                                       
##  [433] "{cyberpunk,enter,explore,razorsharp}"                                        
##  [434] "{cyberpunk,epic}"                                                            
##  [435] "{cyberpunk,future,inspired,neojapanese,razorsharp,travel}"                   
##  [436] "{enter,epic,time}"                                                           
##  [437] "{cyberpunk,enter,explore,inspired,travel}"                                   
##  [438] "{cyberpunk,enter,epic,future,inspired,neojapanese}"                          
##  [439] "{cyberpunk,epic,future,neojapanese,razorsharp,travel}"                       
##  [440] "{cyberpunk,enter,epic,explore,travel}"                                       
##  [441] "{future,time,travel}"                                                        
##  [442] "{cyberpunk,enter,explore,future,neojapanese}"                                
##  [443] "{explore,inspired,time}"                                                     
##  [444] "{epic,explore,time}"                                                         
##  [445] "{cyberpunk,epic,explore,inspired,razorsharp}"                                
##  [446] "{cyberpunk,enter,neojapanese,razorsharp}"                                    
##  [447] "{cyberpunk,enter,inspired,razorsharp,travel}"                                
##  [448] "{razorsharp,time,travel}"                                                    
##  [449] "{inspired,razorsharp,time}"                                                  
##  [450] "{cyberpunk,epic,explore,future,inspired,neojapanese}"                        
##  [451] "{cyberpunk,enter,epic,razorsharp,travel}"                                    
##  [452] "{cyberpunk,enter,inspired,neojapanese,travel}"                               
##  [453] "{inspired,neojapanese,time}"                                                 
##  [454] "{enter,explore,future,time}"                                                 
##  [455] "{epic,neojapanese,time}"                                                     
##  [456] "{cyberpunk,enter,epic,neojapanese,travel}"                                   
##  [457] "{cyberpunk,explore,neojapanese,razorsharp}"                                  
##  [458] "{enter,epic,future,inspired,time}"                                           
##  [459] "{cyberpunk,explore,inspired,razorsharp,travel}"                              
##  [460] "{cyberpunk,epic,inspired,neojapanese,razorsharp}"                            
##  [461] "{cyberpunk,enter,explore,future,inspired,razorsharp}"                        
##  [462] "{cyberpunk,enter,epic,explore,inspired}"                                     
##  [463] "{cyberpunk,epic,explore,razorsharp,travel}"                                  
##  [464] "{cyberpunk,explore,inspired,neojapanese,travel}"                             
##  [465] "{cyberpunk,enter,epic,explore,future,razorsharp}"                            
##  [466] "{enter,future,razorsharp,time}"                                              
##  [467] "{cyberpunk,epic,explore,neojapanese,travel}"                                 
##  [468] "{enter,future,neojapanese,time}"                                             
##  [469] "{epic,explore,future,inspired,time}"                                         
##  [470] "{cyberpunk,enter,explore,neojapanese}"                                       
##  [471] "{explore,future,razorsharp,time}"                                            
##  [472] "{cyberpunk,inspired,neojapanese,razorsharp,travel}"                          
##  [473] "{cyberpunk,enter,epic,inspired,neojapanese}"                                 
##  [474] "{explore,future,neojapanese,time}"                                           
##  [475] "{cyberpunk,epic,neojapanese,razorsharp,travel}"                              
##  [476] "{cyberpunk,enter,epic,explore,future,inspired,travel}"                       
##  [477] "{enter,explore,time}"                                                        
##  [478] "{epic,future,inspired,razorsharp,time}"                                      
##  [479] "{cyberpunk,enter,future,inspired,neojapanese,razorsharp}"                    
##  [480] "{cyberpunk,enter,explore,future,razorsharp,travel}"                          
##  [481] "{cyberpunk,enter,epic,future,neojapanese,razorsharp}"                        
##  [482] "{epic,future,inspired,neojapanese,time}"                                     
##  [483] "{future,neojapanese,razorsharp,time}"                                        
##  [484] "{enter,epic,inspired,time}"                                                  
##  [485] "{cyberpunk,epic,explore,inspired,neojapanese}"                               
##  [486] "{enter,razorsharp,time}"                                                     
##  [487] "{cyberpunk,enter,explore,future,neojapanese,travel}"                         
##  [488] "{enter,neojapanese,time}"                                                    
##  [489] "{future,inspired,time,travel}"                                               
##  [490] "{epic,razorsharp,time,travel}"                                               
##  [491] "{epic,future,time,travel}"                                                   
##  [492] "{cyberpunk,explore,future,inspired,neojapanese,razorsharp}"                  
##  [493] "{cyberpunk,enter,explore,inspired,razorsharp}"                               
##  [494] "{epic,explore,inspired,time}"                                                
##  [495] "{explore,razorsharp,time}"                                                   
##  [496] "{cyberpunk,epic,explore,future,neojapanese,razorsharp}"                      
##  [497] "{cyberpunk,enter,epic,explore,razorsharp}"                                   
##  [498] "{cyberpunk,enter,epic,future,inspired,razorsharp,travel}"                    
##  [499] "{explore,neojapanese,time}"                                                  
##  [500] "{cyberpunk,enter,future,neojapanese,razorsharp,travel}"                      
##  [501] "{cyberpunk,enter,epic,future,inspired,neojapanese,travel}"                   
##  [502] "{epic,inspired,razorsharp,time}"                                             
##  [503] "{epic,inspired,neojapanese,time}"                                            
##  [504] "{neojapanese,razorsharp,time}"                                               
##  [505] "{cyberpunk,enter,inspired,neojapanese,razorsharp}"                           
##  [506] "{inspired,time,travel}"                                                      
##  [507] "{cyberpunk,enter,explore,razorsharp,travel}"                                 
##  [508] "{cyberpunk,enter,epic,neojapanese,razorsharp}"                               
##  [509] "{cyberpunk,epic,explore,future,inspired,razorsharp,travel}"                  
##  [510] "{cyberpunk,explore,future,neojapanese,razorsharp,travel}"                    
##  [511] "{cyberpunk,enter,epic,explore,inspired,travel}"                              
##  [512] "{cyberpunk,enter,explore,neojapanese,travel}"                                
##  [513] "{cyberpunk,enter,explore,future,inspired,neojapanese}"                       
##  [514] "{cyberpunk,enter,epic,explore,future,neojapanese}"                           
##  [515] "{enter,explore,future,inspired,time}"                                        
##  [516] "{cyberpunk,explore,inspired,neojapanese,razorsharp}"                         
##  [517] "{enter,epic,explore,future,time}"                                            
##  [518] "{cyberpunk,epic,explore,future,inspired,neojapanese,travel}"                 
##  [519] "{cyberpunk,epic,explore,neojapanese,razorsharp}"                             
##  [520] "{cyberpunk,inspired}"                                                        
##  [521] "{cyberpunk,enter,neojapanese,razorsharp,travel}"                             
##  [522] "{enter,future,inspired,razorsharp,time}"                                     
##  [523] "{cyberpunk,enter,epic,inspired,razorsharp,travel}"                           
##  [524] "{enter,epic,future,razorsharp,time}"                                         
##  [525] "{enter,future,inspired,neojapanese,time}"                                    
##  [526] "{enter,future,time,travel}"                                                  
##  [527] "{cyberpunk,enter,epic,inspired,neojapanese,travel}"                          
##  [528] "{cyberpunk,edge,epic,razorsharp}"                                            
##  [529] "{enter,explore,inspired,time}"                                               
##  [530] "{enter,epic,future,neojapanese,time}"                                        
##  [531] "{cyberpunk,explore,neojapanese,razorsharp,travel}"                           
##  [532] "{enter,epic,explore,time}"                                                   
##  [533] "{cyberpunk,enter,explore,inspired,neojapanese}"                              
##  [534] "{cyberpunk,enter,epic,explore,neojapanese}"                                  
##  [535] "{explore,future,inspired,razorsharp,time}"                                   
##  [536] "{cyberpunk,epic,future,inspired,neojapanese,razorsharp,travel}"              
##  [537] "{epic,explore,future,razorsharp,time}"                                       
##  [538] "{cyberpunk,epic,explore,inspired,razorsharp,travel}"                         
##  [539] "{explore,future,time,travel}"                                                
##  [540] "{explore,future,inspired,neojapanese,time}"                                  
##  [541] "{enter,inspired,razorsharp,time}"                                            
##  [542] "{epic,explore,future,neojapanese,time}"                                      
##  [543] "{enter,time,travel}"                                                         
##  [544] "{cyberpunk,epic,explore,inspired,neojapanese,travel}"                        
##  [545] "{enter,epic,razorsharp,time}"                                                
##  [546] "{enter,inspired,neojapanese,time}"                                           
##  [547] "{enter,epic,neojapanese,time}"                                               
##  [548] "{future,razorsharp,time,travel}"                                             
##  [549] "{explore,inspired,razorsharp,time}"                                          
##  [550] "{explore,time,travel}"                                                       
##  [551] "{future,inspired,neojapanese,razorsharp,time}"                               
##  [552] "{future,neojapanese,time,travel}"                                            
##  [553] "{epic,explore,razorsharp,time}"                                              
##  [554] "{explore,inspired,neojapanese,time}"                                         
##  [555] "{epic,future,neojapanese,razorsharp,time}"                                   
##  [556] "{cyberpunk,enter,explore,future,neojapanese,razorsharp}"                     
##  [557] "{epic,explore,neojapanese,time}"                                             
##  [558] "{cyberpunk,epic,inspired,neojapanese,razorsharp,travel}"                     
##  [559] "{epic,future,inspired,time,travel}"                                          
##  [560] "{inspired,neojapanese,razorsharp,time}"                                      
##  [561] "{neojapanese,time,travel}"                                                   
##  [562] "{epic,neojapanese,razorsharp,time}"                                          
##  [563] "{epic,travel}"                                                               
##  [564] "{cyberpunk,enter,explore,neojapanese,razorsharp}"                            
##  [565] "{cyberpunk,enter,epic,explore,future,inspired,razorsharp}"                   
##  [566] "{epic,inspired,time,travel}"                                                 
##  [567] "{cyberpunk,gaming,via}"                                                      
##  [568] "{cyberpunk,enter,epic,explore,inspired,razorsharp}"                          
##  [569] "{enter,explore,future,razorsharp,time}"                                      
##  [570] "{enter,explore,future,neojapanese,time}"                                     
##  [571] "{cyberpunk,enter,explore,future,inspired,razorsharp,travel}"                 
##  [572] "{enter,explore,razorsharp,time}"                                             
##  [573] "{cyberpunk,enter,epic,future,inspired,neojapanese,razorsharp}"               
##  [574] "{enter,explore,neojapanese,time}"                                            
##  [575] "{cyberpunk,enter,epic,explore,future,razorsharp,travel}"                     
##  [576] "{cyberpunk,edge,travel}"                                                     
##  [577] "{cyberpunk,enter,explore,future,inspired,neojapanese,travel}"                
##  [578] "{cyberpunk,enter,explore,inspired,razorsharp,travel}"                        
##  [579] "{cyberpunk,enter,epic,inspired,neojapanese,razorsharp}"                      
##  [580] "{enter,future,neojapanese,razorsharp,time}"                                  
##  [581] "{cyberpunk,enter,epic,explore,razorsharp,travel}"                            
##  [582] "{cyberpunk,enter,epic,explore,future,neojapanese,travel}"                    
##  [583] "{cyberpunk,enter,explore,inspired,neojapanese,travel}"                       
##  [584] "{enter,neojapanese,razorsharp,time}"                                         
##  [585] "{razorsharp,travel}"                                                         
##  [586] "{cyberpunk,enter,epic,explore,neojapanese,travel}"                           
##  [587] "{enter,future,inspired,time,travel}"                                         
##  [588] "{cyberpunk,epic,explore,future,inspired,neojapanese,razorsharp}"             
##  [589] "{enter,inspired,time,travel}"                                                
##  [590] "{enter,epic,future,time,travel}"                                             
##  [591] "{enter,epic,explore,future,inspired,time}"                                   
##  [592] "{explore,future,neojapanese,razorsharp,time}"                                
##  [593] "{enter,epic,time,travel}"                                                    
##  [594] "{cyberpunk,epic,explore,inspired,neojapanese,razorsharp}"                    
##  [595] "{enter,epic,explore,inspired,time}"                                          
##  [596] "{explore,neojapanese,razorsharp,time}"                                       
##  [597] "{cyberpunk,enter,future,inspired,neojapanese,razorsharp,travel}"             
##  [598] "{travel}"                                                                    
##  [599] "{explore,future,inspired,time,travel}"                                       
##  [600] "{cyberpunk,enter,inspired,neojapanese,razorsharp,travel}"                    
##  [601] "{explore,inspired,time,travel}"                                              
##  [602] "{future,travel}"                                                             
##  [603] "{epic,explore,future,time,travel}"                                           
##  [604] "{epic,explore,time,travel}"                                                  
##  [605] "{cyberpunk,enter,epic,explore,inspired,neojapanese,razorsharp,time,travel}"  
##  [606] "{cyberpunk,enter,epic,neojapanese,razorsharp,travel}"                        
##  [607] "{cyberpunk,enter,epic,future,neojapanese,razorsharp,travel}"                 
##  [608] "{enter,epic,inspired,razorsharp,time}"                                       
##  [609] "{enter,epic,future,inspired,razorsharp,time}"                                
##  [610] "{inspired,razorsharp,time,travel}"                                           
##  [611] "{enter,epic,inspired,neojapanese,time}"                                      
##  [612] "{future,inspired,razorsharp,time,travel}"                                    
##  [613] "{enter,epic,future,inspired,neojapanese,time}"                               
##  [614] "{cyberpunk,explore,inspired,neojapanese,razorsharp,travel}"                  
##  [615] "{inspired,neojapanese,time,travel}"                                          
##  [616] "{epic,future,razorsharp,time,travel}"                                        
##  [617] "{cyberpunk,enter,epic,explore,inspired,neojapanese}"                         
##  [618] "{future,inspired,neojapanese,time,travel}"                                   
##  [619] "{epic,neojapanese,time,travel}"                                              
##  [620] "{cyberpunk,explore,future,inspired,neojapanese,razorsharp,travel}"           
##  [621] "{epic,explore,inspired,razorsharp,time}"                                     
##  [622] "{cyberpunk,epic,explore,neojapanese,razorsharp,travel}"                      
##  [623] "{epic,future,neojapanese,time,travel}"                                       
##  [624] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese}"                  
##  [625] "{epic,future}"                                                               
##  [626] "{epic,explore,future,inspired,razorsharp,time}"                              
##  [627] "{epic,explore,inspired,neojapanese,time}"                                    
##  [628] "{cyberpunk,epic,explore,future,neojapanese,razorsharp,travel}"               
##  [629] "{epic,explore,future,inspired,neojapanese,time}"                             
##  [630] "{epic,inspired,neojapanese,razorsharp,time}"                                 
##  [631] "{future,inspired}"                                                           
##  [632] "{razorsharp}"                                                                
##  [633] "{future,razorsharp}"                                                         
##  [634] "{edge,time}"                                                                 
##  [635] "{epic,future,inspired,neojapanese,razorsharp,time}"                          
##  [636] "{epic,razorsharp}"                                                           
##  [637] "{enter,explore,time,travel}"                                                 
##  [638] "{epic,razorsharp,travel}"                                                    
##  [639] "{enter,explore,future,time,travel}"                                          
##  [640] "{enter,razorsharp,time,travel}"                                              
##  [641] "{cyberpunk,enter,explore,inspired,neojapanese,razorsharp}"                   
##  [642] "{enter,neojapanese,time,travel}"                                             
##  [643] "{explore,future}"                                                            
##  [644] "{cyberpunk,enter,epic,explore,neojapanese,razorsharp}"                       
##  [645] "{explore,razorsharp,time,travel}"                                            
##  [646] "{inspired,travel}"                                                           
##  [647] "{enter,future,razorsharp,time,travel}"                                       
##  [648] "{explore,neojapanese,time,travel}"                                           
##  [649] "{enter,explore,inspired,razorsharp,time}"                                    
##  [650] "{enter,future}"                                                              
##  [651] "{enter,future,neojapanese,time,travel}"                                      
##  [652] "{enter,epic,explore,razorsharp,time}"                                        
##  [653] "{enter,explore,inspired,neojapanese,time}"                                   
##  [654] "{future,inspired,travel}"                                                    
##  [655] "{epic,future,travel}"                                                        
##  [656] "{enter,epic,explore,neojapanese,time}"                                       
##  [657] "{explore,future,razorsharp,time,travel}"                                     
##  [658] "{cyberpunk,enter,explore,future,inspired,neojapanese,razorsharp}"            
##  [659] "{future,neojapanese}"                                                        
##  [660] "{neojapanese}"                                                               
##  [661] "{explore,future,neojapanese,time,travel}"                                    
##  [662] "{cyberpunk,enter,explore,neojapanese,razorsharp,travel}"                     
##  [663] "{neojapanese,razorsharp,time,travel}"                                        
##  [664] "{cyberpunk,enter,epic,explore,future,neojapanese,razorsharp}"                
##  [665] "{epic,inspired}"                                                             
##  [666] "{enter,inspired,neojapanese,razorsharp,time}"                                
##  [667] "{enter,explore,future,inspired,razorsharp,time}"                             
##  [668] "{enter,epic,neojapanese,razorsharp,time}"                                    
##  [669] "{enter,epic,explore,future,razorsharp,time}"                                 
##  [670] "{enter,explore,future,inspired,neojapanese,time}"                            
##  [671] "{epic,future,inspired}"                                                      
##  [672] "{future,neojapanese,razorsharp,time,travel}"                                 
##  [673] "{enter,epic,inspired,time,travel}"                                           
##  [674] "{enter,epic,explore,future,neojapanese,time}"                                
##  [675] "{explore,inspired,neojapanese,razorsharp,time}"                              
##  [676] "{epic,explore,neojapanese,razorsharp,time}"                                  
##  [677] "{enter,travel}"                                                              
##  [678] "{inspired,razorsharp}"                                                       
##  [679] "{epic,explore,inspired,time,travel}"                                         
##  [680] "{enter,future,inspired,neojapanese,razorsharp,time}"                         
##  [681] "{explore,travel}"                                                            
##  [682] "{cyberpunk,enter,explore,future,neojapanese,razorsharp,travel}"              
##  [683] "{enter,epic,future,neojapanese,razorsharp,time}"                             
##  [684] "{enter,future,travel}"                                                       
##  [685] "{enter,epic}"                                                                
##  [686] "{future,inspired,razorsharp}"                                                
##  [687] "{enter,epic,future,inspired,time,travel}"                                    
##  [688] "{epic,inspired,razorsharp,time,travel}"                                      
##  [689] "{epic,future,razorsharp}"                                                    
##  [690] "{explore,future,inspired,neojapanese,razorsharp,time}"                       
##  [691] "{neojapanese,travel}"                                                        
##  [692] "{explore,future,travel}"                                                     
##  [693] "{epic,inspired,neojapanese,time,travel}"                                     
##  [694] "{epic,explore}"                                                              
##  [695] "{epic,explore,future,neojapanese,razorsharp,time}"                           
##  [696] "{explore,inspired}"                                                          
##  [697] "{future,razorsharp,travel}"                                                  
##  [698] "{epic,explore,future,inspired,time,travel}"                                  
##  [699] "{enter,epic,future}"                                                         
##  [700] "{epic,neojapanese}"                                                          
##  [701] "{future,neojapanese,travel}"                                                 
##  [702] "{enter,inspired}"                                                            
##  [703] "{cyberpunk,future}"                                                          
##  [704] "{enter,razorsharp}"                                                          
##  [705] "{epic,explore,future}"                                                       
##  [706] "{explore}"                                                                   
##  [707] "{explore,razorsharp}"                                                        
##  [708] "{explore,future,inspired}"                                                   
##  [709] "{enter,future,inspired}"                                                     
##  [710] "{epic,future,inspired,razorsharp,time,travel}"                               
##  [711] "{cyberpunk,enter,epic,explore,inspired,razorsharp,travel}"                   
##  [712] "{epic,inspired,travel}"                                                      
##  [713] "{inspired,neojapanese}"                                                      
##  [714] "{epic,future,neojapanese}"                                                   
##  [715] "{epic,future,inspired,neojapanese,time,travel}"                              
##  [716] "{enter,explore,neojapanese,razorsharp,time}"                                 
##  [717] "{cyberpunk,enter,epic,explore,inspired,neojapanese,travel}"                  
##  [718] "{enter,future,razorsharp}"                                                   
##  [719] "{neojapanese,razorsharp}"                                                    
##  [720] "{enter,explore,inspired,time,travel}"                                        
##  [721] "{enter,epic,explore,time,travel}"                                            
##  [722] "{explore,future,razorsharp}"                                                 
##  [723] "{future,inspired,neojapanese}"                                               
##  [724] "{enter,explore}"                                                             
##  [725] "{enter,inspired,razorsharp,time,travel}"                                     
##  [726] "{enter}"                                                                     
##  [727] "{enter,epic,razorsharp,time,travel}"                                         
##  [728] "{enter,inspired,neojapanese,time,travel}"                                    
##  [729] "{epic,future,inspired,travel}"                                               
##  [730] "{cyberpunk,enter,epic,inspired,neojapanese,razorsharp,travel}"               
##  [731] "{future,neojapanese,razorsharp}"                                             
##  [732] "{enter,epic,neojapanese,time,travel}"                                        
##  [733] "{explore,neojapanese}"                                                       
##  [734] "{explore,inspired,razorsharp,time,travel}"                                   
##  [735] "{epic,explore,razorsharp,time,travel}"                                       
##  [736] "{enter,explore,future}"                                                      
##  [737] "{explore,inspired,neojapanese,time,travel}"                                  
##  [738] "{enter,inspired,travel}"                                                     
##  [739] "{epic,explore,neojapanese,time,travel}"                                      
##  [740] "{enter,neojapanese}"                                                         
##  [741] "{enter,explore,future,neojapanese,razorsharp,time}"                          
##  [742] "{enter,epic,travel}"                                                         
##  [743] "{epic,inspired,razorsharp}"                                                  
##  [744] "{cyberpunk,epic,explore,inspired,neojapanese,razorsharp,travel}"             
##  [745] "{explore,inspired,travel}"                                                   
##  [746] "{enter,explore,future,inspired,time,travel}"                                 
##  [747] "{inspired,neojapanese,razorsharp,time,travel}"                               
##  [748] "{epic,explore,travel}"                                                       
##  [749] "{epic,neojapanese,razorsharp,time,travel}"                                   
##  [750] "{enter,epic,explore,future,time,travel}"                                     
##  [751] "{inspired,razorsharp,travel}"                                                
##  [752] "{explore,future,neojapanese}"                                                
##  [753] "{enter,future,neojapanese}"                                                  
##  [754] "{enter,epic,inspired}"                                                       
##  [755] "{inspired,neojapanese,travel}"                                               
##  [756] "{epic,neojapanese,travel}"                                                   
##  [757] "{enter,future,inspired,razorsharp,time,travel}"                              
##  [758] "{epic,explore,inspired}"                                                     
##  [759] "{enter,epic,future,razorsharp,time,travel}"                                  
##  [760] "{enter,future,inspired,neojapanese,time,travel}"                             
##  [761] "{enter,future,inspired,travel}"                                              
##  [762] "{enter,epic,explore,inspired,razorsharp,time}"                               
##  [763] "{enter,epic,future,neojapanese,time,travel}"                                 
##  [764] "{enter,epic,future,travel}"                                                  
##  [765] "{cyberpunk,enter,epic,explore,future,inspired,razorsharp,travel}"            
##  [766] "{enter,epic,explore,inspired,neojapanese,time}"                              
##  [767] "{epic,future,inspired,razorsharp}"                                           
##  [768] "{epic,inspired,neojapanese}"                                                 
##  [769] "{explore,future,inspired,razorsharp,time,travel}"                            
##  [770] "{explore,future,inspired,travel}"                                            
##  [771] "{edge,epic,time}"                                                            
##  [772] "{epic,explore,future,razorsharp,time,travel}"                                
##  [773] "{epic,explore,future,travel}"                                                
##  [774] "{enter,inspired,razorsharp}"                                                 
##  [775] "{explore,future,inspired,neojapanese,time,travel}"                           
##  [776] "{cyberpunk,edge,epic,travel}"                                                
##  [777] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,travel}"           
##  [778] "{enter,epic,razorsharp}"                                                     
##  [779] "{epic,explore,future,neojapanese,time,travel}"                               
##  [780] "{enter,explore,travel}"                                                      
##  [781] "{enter,explore,razorsharp,time,travel}"                                      
##  [782] "{future,inspired,razorsharp,travel}"                                         
##  [783] "{explore,inspired,razorsharp}"                                               
##  [784] "{enter,epic,future,inspired}"                                                
##  [785] "{enter,epic,inspired,neojapanese,razorsharp,time}"                           
##  [786] "{epic,future,razorsharp,travel}"                                             
##  [787] "{epic,explore,razorsharp}"                                                   
##  [788] "{enter,explore,neojapanese,time,travel}"                                     
##  [789] "{future,inspired,neojapanese,travel}"                                        
##  [790] "{epic,future,neojapanese,travel}"                                            
##  [791] "{enter,razorsharp,travel}"                                                   
##  [792] "{future,inspired,neojapanese,razorsharp,time,travel}"                        
##  [793] "{enter,neojapanese,travel}"                                                  
##  [794] "{epic,explore,future,inspired}"                                              
##  [795] "{epic,future,neojapanese,razorsharp,time,travel}"                            
##  [796] "{inspired,neojapanese,razorsharp}"                                           
##  [797] "{explore,razorsharp,travel}"                                                 
##  [798] "{epic,neojapanese,razorsharp}"                                               
##  [799] "{enter,epic,explore}"                                                        
##  [800] "{enter,neojapanese,razorsharp,time,travel}"                                  
##  [801] "{epic,explore,inspired,neojapanese,razorsharp,time}"                         
##  [802] "{explore,neojapanese,travel}"                                                
##  [803] "{cyberpunk,enter,epic,explore,inspired,neojapanese,razorsharp}"              
##  [804] "{enter,explore,inspired}"                                                    
##  [805] "{epic}"                                                                      
##  [806] "{epic,future,inspired,neojapanese}"                                          
##  [807] "{cyberpunk,enter,epic,future,inspired,neojapanese,razorsharp,travel}"        
##  [808] "{explore,neojapanese,razorsharp,time,travel}"                                
##  [809] "{enter,epic,neojapanese}"                                                    
##  [810] "{neojapanese,razorsharp,travel}"                                             
##  [811] "{enter,future,inspired,razorsharp}"                                          
##  [812] "{enter,epic,future,razorsharp}"                                              
##  [813] "{epic,explore,neojapanese}"                                                  
##  [814] "{enter,explore,future,travel}"                                               
##  [815] "{explore,future,inspired,razorsharp}"                                        
##  [816] "{enter,explore,razorsharp}"                                                  
##  [817] "{explore,inspired,neojapanese}"                                              
##  [818] "{epic,explore,future,razorsharp}"                                            
##  [819] "{cyberpunk,enter,explore,inspired,neojapanese,razorsharp,travel}"            
##  [820] "{enter,future,razorsharp,travel}"                                            
##  [821] "{enter,inspired,neojapanese}"                                                
##  [822] "{cyberpunk,enter,epic,explore,neojapanese,razorsharp,travel}"                
##  [823] "{enter,future,neojapanese,travel}"                                           
##  [824] "{cyberpunk,epic,explore,future,inspired,neojapanese,razorsharp,travel}"      
##  [825] "{enter,neojapanese,razorsharp}"                                              
##  [826] "{enter,epic,explore,future,inspired,razorsharp,time}"                        
##  [827] "{future,inspired,neojapanese,razorsharp}"                                    
##  [828] "{explore,future,razorsharp,travel}"                                          
##  [829] "{epic,future,neojapanese,razorsharp}"                                        
##  [830] "{enter,epic,explore,future}"                                                 
##  [831] "{enter,explore,future,razorsharp,time,travel}"                               
##  [832] "{explore,future,neojapanese,travel}"                                         
##  [833] "{explore,neojapanese,razorsharp}"                                            
##  [834] "{enter,epic,explore,future,inspired,neojapanese,time}"                       
##  [835] "{enter,explore,future,neojapanese,time,travel}"                              
##  [836] "{enter,explore,future,inspired}"                                             
##  [837] "{future,neojapanese,razorsharp,travel}"                                      
##  [838] "{enter,epic,inspired,travel}"                                                
##  [839] "{enter,epic,future,neojapanese}"                                             
##  [840] "{enter,future,neojapanese,razorsharp,time,travel}"                           
##  [841] "{epic,explore,inspired,travel}"                                              
##  [842] "{epic,explore,future,neojapanese}"                                           
##  [843] "{enter,epic,future,inspired,neojapanese,razorsharp,time}"                    
##  [844] "{enter,explore,neojapanese}"                                                 
##  [845] "{enter,explore,inspired,neojapanese,razorsharp,time}"                        
##  [846] "{enter,epic,explore,neojapanese,razorsharp,time}"                            
##  [847] "{enter,explore,future,razorsharp}"                                           
##  [848] "{explore,future,inspired,neojapanese}"                                       
##  [849] "{enter,future,inspired,neojapanese}"                                         
##  [850] "{epic,inspired,razorsharp,travel}"                                           
##  [851] "{explore,future,neojapanese,razorsharp,time,travel}"                         
##  [852] "{enter,epic,explore,inspired,time,travel}"                                   
##  [853] "{epic,inspired,neojapanese,travel}"                                          
##  [854] "{epic,explore,future,inspired,neojapanese,razorsharp,time}"                  
##  [855] "{enter,future,neojapanese,razorsharp}"                                       
##  [856] "{enter,epic,inspired,razorsharp,time,travel}"                                
##  [857] "{explore,future,neojapanese,razorsharp}"                                     
##  [858] "{enter,epic,inspired,neojapanese,time,travel}"                               
##  [859] "{inspired}"                                                                  
##  [860] "{edge,razorsharp,time}"                                                      
##  [861] "{enter,epic,inspired,razorsharp}"                                            
##  [862] "{epic,explore,inspired,razorsharp,time,travel}"                              
##  [863] "{enter,explore,inspired,travel}"                                             
##  [864] "{enter,epic,explore,travel}"                                                 
##  [865] "{epic,explore,inspired,neojapanese,time,travel}"                             
##  [866] "{epic,explore,inspired,razorsharp}"                                          
##  [867] "{enter,epic,future,inspired,travel}"                                         
##  [868] "{enter,inspired,razorsharp,travel}"                                          
##  [869] "{enter,explore,future,neojapanese}"                                          
##  [870] "{enter,epic,razorsharp,travel}"                                              
##  [871] "{enter,inspired,neojapanese,travel}"                                         
##  [872] "{enter,epic,neojapanese,travel}"                                             
##  [873] "{epic,explore,future,inspired,travel}"                                       
##  [874] "{epic,inspired,neojapanese,razorsharp,time,travel}"                          
##  [875] "{explore,inspired,razorsharp,travel}"                                        
##  [876] "{epic,inspired,neojapanese,razorsharp}"                                      
##  [877] "{enter,epic,explore,inspired}"                                               
##  [878] "{epic,explore,razorsharp,travel}"                                            
##  [879] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,razorsharp}"       
##  [880] "{explore,inspired,neojapanese,travel}"                                       
##  [881] "{epic,explore,neojapanese,travel}"                                           
##  [882] "{epic,future,inspired,razorsharp,travel}"                                    
##  [883] "{inspired,neojapanese,razorsharp,travel}"                                    
##  [884] "{enter,epic,inspired,neojapanese}"                                           
##  [885] "{epic,neojapanese,razorsharp,travel}"                                        
##  [886] "{epic,future,inspired,neojapanese,travel}"                                   
##  [887] "{epic,explore,inspired,neojapanese}"                                         
##  [888] "{edge}"                                                                      
##  [889] "{enter,explore,inspired,razorsharp}"                                         
##  [890] "{enter,epic,explore,razorsharp}"                                             
##  [891] "{cyberpunk,edge,razorsharp,travel}"                                          
##  [892] "{cyberpunk,enter,explore,future,inspired,neojapanese,razorsharp,travel}"     
##  [893] "{enter,inspired,neojapanese,razorsharp}"                                     
##  [894] "{enter,explore,future,inspired,neojapanese,razorsharp,time}"                 
##  [895] "{enter,explore,inspired,razorsharp,time,travel}"                             
##  [896] "{enter,explore,razorsharp,travel}"                                           
##  [897] "{enter,epic,neojapanese,razorsharp}"                                         
##  [898] "{enter,epic,explore,razorsharp,time,travel}"                                 
##  [899] "{cyberpunk,enter,epic,explore,future,neojapanese,razorsharp,travel}"         
##  [900] "{enter,epic,future,inspired,razorsharp}"                                     
##  [901] "{enter,epic,explore,future,neojapanese,razorsharp,time}"                     
##  [902] "{enter,explore,neojapanese,travel}"                                          
##  [903] "{enter,explore,inspired,neojapanese,time,travel}"                            
##  [904] "{enter,explore,future,inspired,travel}"                                      
##  [905] "{explore,inspired,neojapanese,razorsharp}"                                   
##  [906] "{enter,epic,explore,neojapanese,time,travel}"                                
##  [907] "{enter,epic,explore,future,travel}"                                          
##  [908] "{epic,explore,neojapanese,razorsharp}"                                       
##  [909] "{enter,epic,explore,future,inspired,time,travel}"                            
##  [910] "{epic,explore,future,inspired,razorsharp}"                                   
##  [911] "{enter,neojapanese,razorsharp,travel}"                                       
##  [912] "{enter,future,inspired,razorsharp,travel}"                                   
##  [913] "{enter,inspired,neojapanese,razorsharp,time,travel}"                         
##  [914] "{enter,epic,future,razorsharp,travel}"                                       
##  [915] "{enter,future,inspired,neojapanese,travel}"                                  
##  [916] "{explore,neojapanese,razorsharp,travel}"                                     
##  [917] "{enter,epic,neojapanese,razorsharp,time,travel}"                             
##  [918] "{enter,epic,explore,neojapanese}"                                            
##  [919] "{enter,epic,future,neojapanese,travel}"                                      
##  [920] "{explore,future,inspired,razorsharp,travel}"                                 
##  [921] "{epic,future,inspired,neojapanese,razorsharp}"                               
##  [922] "{enter,epic,explore,future,inspired}"                                        
##  [923] "{enter,explore,inspired,neojapanese}"                                        
##  [924] "{epic,explore,future,razorsharp,travel}"                                     
##  [925] "{explore,inspired,neojapanese,razorsharp,time,travel}"                       
##  [926] "{enter,epic,future,inspired,razorsharp,time,travel}"                         
##  [927] "{explore,future,inspired,neojapanese,travel}"                                
##  [928] "{epic,explore,future,neojapanese,travel}"                                    
##  [929] "{epic,explore,neojapanese,razorsharp,time,travel}"                           
##  [930] "{enter,epic,future,inspired,neojapanese,time,travel}"                        
##  [931] "{future,inspired,neojapanese,razorsharp,travel}"                             
##  [932] "{enter,epic,future,inspired,neojapanese}"                                    
##  [933] "{epic,future,neojapanese,razorsharp,travel}"                                 
##  [934] "{epic,explore,future,inspired,razorsharp,time,travel}"                       
##  [935] "{enter,explore,neojapanese,razorsharp}"                                      
##  [936] "{epic,explore,future,inspired,neojapanese}"                                  
##  [937] "{epic,explore,future,inspired,neojapanese,time,travel}"                      
##  [938] "{enter,explore,future,inspired,razorsharp}"                                  
##  [939] "{enter,epic,explore,future,razorsharp}"                                      
##  [940] "{epic,future,inspired,neojapanese,razorsharp,time,travel}"                   
##  [941] "{enter,future,inspired,neojapanese,razorsharp}"                              
##  [942] "{enter,explore,future,razorsharp,travel}"                                    
##  [943] "{enter,epic,future,neojapanese,razorsharp}"                                  
##  [944] "{enter,explore,future,neojapanese,travel}"                                   
##  [945] "{edge,epic}"                                                                 
##  [946] "{explore,future,inspired,neojapanese,razorsharp}"                            
##  [947] "{epic,explore,future,neojapanese,razorsharp}"                                
##  [948] "{enter,future,neojapanese,razorsharp,travel}"                                
##  [949] "{enter,explore,neojapanese,razorsharp,time,travel}"                          
##  [950] "{explore,future,neojapanese,razorsharp,travel}"                              
##  [951] "{enter,epic,explore,inspired,travel}"                                        
##  [952] "{enter,epic,explore,future,neojapanese}"                                     
##  [953] "{enter,explore,future,inspired,neojapanese}"                                 
##  [954] "{enter,epic,inspired,razorsharp,travel}"                                     
##  [955] "{enter,epic,inspired,neojapanese,travel}"                                    
##  [956] "{epic,explore,inspired,razorsharp,travel}"                                   
##  [957] "{enter,explore,future,inspired,razorsharp,time,travel}"                      
##  [958] "{epic,explore,inspired,neojapanese,travel}"                                  
##  [959] "{enter,epic,explore,future,razorsharp,time,travel}"                          
##  [960] "{edge,time,travel}"                                                          
##  [961] "{enter,explore,future,inspired,neojapanese,time,travel}"                     
##  [962] "{enter,explore,future,neojapanese,razorsharp}"                               
##  [963] "{enter,epic,explore,future,neojapanese,time,travel}"                         
##  [964] "{epic,inspired,neojapanese,razorsharp,travel}"                               
##  [965] "{enter,future,inspired,neojapanese,razorsharp,time,travel}"                  
##  [966] "{enter,epic,future,neojapanese,razorsharp,time,travel}"                      
##  [967] "{enter,epic,explore,inspired,razorsharp}"                                    
##  [968] "{enter,epic,explore,inspired,neojapanese,razorsharp,time}"                   
##  [969] "{edge,razorsharp}"                                                           
##  [970] "{explore,future,inspired,neojapanese,razorsharp,time,travel}"                
##  [971] "{enter,explore,inspired,razorsharp,travel}"                                  
##  [972] "{enter,epic,inspired,neojapanese,razorsharp}"                                
##  [973] "{epic,explore,future,neojapanese,razorsharp,time,travel}"                    
##  [974] "{enter,epic,explore,razorsharp,travel}"                                      
##  [975] "{enter,explore,inspired,neojapanese,travel}"                                 
##  [976] "{enter,epic,explore,neojapanese,travel}"                                     
##  [977] "{epic,explore,inspired,neojapanese,razorsharp}"                              
##  [978] "{enter,inspired,neojapanese,razorsharp,travel}"                              
##  [979] "{enter,epic,neojapanese,razorsharp,travel}"                                  
##  [980] "{explore,inspired,neojapanese,razorsharp,travel}"                            
##  [981] "{enter,epic,explore,inspired,neojapanese}"                                   
##  [982] "{epic,explore,neojapanese,razorsharp,travel}"                                
##  [983] "{enter,epic,explore,future,inspired,travel}"                                 
##  [984] "{enter,explore,inspired,neojapanese,razorsharp}"                             
##  [985] "{enter,epic,explore,neojapanese,razorsharp}"                                 
##  [986] "{enter,epic,future,inspired,razorsharp,travel}"                              
##  [987] "{cyberpunk,enter,epic,explore,inspired,neojapanese,razorsharp,travel}"       
##  [988] "{enter,epic,future,inspired,neojapanese,travel}"                             
##  [989] "{enter,explore,neojapanese,razorsharp,travel}"                               
##  [990] "{epic,explore,future,inspired,razorsharp,travel}"                            
##  [991] "{enter,explore,future,neojapanese,razorsharp,time,travel}"                   
##  [992] "{epic,explore,future,inspired,neojapanese,travel}"                           
##  [993] "{future}"                                                                    
##  [994] "{epic,future,inspired,neojapanese,razorsharp,travel}"                        
##  [995] "{enter,epic,explore,inspired,razorsharp,time,travel}"                        
##  [996] "{enter,epic,explore,future,inspired,razorsharp}"                             
##  [997] "{enter,epic,explore,inspired,neojapanese,time,travel}"                       
##  [998] "{enter,explore,future,inspired,razorsharp,travel}"                           
##  [999] "{enter,epic,future,inspired,neojapanese,razorsharp}"                         
## [1000] "{enter,epic,inspired,neojapanese,razorsharp,time,travel}"                    
## [1001] "{enter,epic,explore,future,razorsharp,travel}"                               
## [1002] "{edge,travel}"                                                               
## [1003] "{enter,explore,future,inspired,neojapanese,travel}"                          
## [1004] "{enter,epic,explore,future,neojapanese,travel}"                              
## [1005] "{epic,explore,future,inspired,neojapanese,razorsharp}"                       
## [1006] "{enter,future,inspired,neojapanese,razorsharp,travel}"                       
## [1007] "{epic,explore,inspired,neojapanese,razorsharp,time,travel}"                  
## [1008] "{enter,epic,future,neojapanese,razorsharp,travel}"                           
## [1009] "{edge,epic,razorsharp,time}"                                                 
## [1010] "{explore,future,inspired,neojapanese,razorsharp,travel}"                     
## [1011] "{enter,epic,explore,future,inspired,neojapanese}"                            
## [1012] "{epic,explore,future,neojapanese,razorsharp,travel}"                         
## [1013] "{enter,explore,future,inspired,neojapanese,razorsharp}"                      
## [1014] "{enter,epic,explore,future,neojapanese,razorsharp}"                          
## [1015] "{enter,explore,future,neojapanese,razorsharp,travel}"                        
## [1016] "{enter,explore,inspired,neojapanese,razorsharp,time,travel}"                 
## [1017] "{enter,epic,explore,neojapanese,razorsharp,time,travel}"                     
## [1018] "{enter,epic,explore,inspired,razorsharp,travel}"                             
## [1019] "{enter,epic,explore,future,inspired,neojapanese,razorsharp,time}"            
## [1020] "{enter,epic,explore,inspired,neojapanese,travel}"                            
## [1021] "{enter,epic,inspired,neojapanese,razorsharp,travel}"                         
## [1022] "{epic,explore,inspired,neojapanese,razorsharp,travel}"                       
## [1023] "{enter,epic,explore,inspired,neojapanese,razorsharp}"                        
## [1024] "{edge,epic,razorsharp}"                                                      
## [1025] "{enter,explore,inspired,neojapanese,razorsharp,travel}"                      
## [1026] "{enter,epic,explore,neojapanese,razorsharp,travel}"                          
## [1027] "{enter,epic,explore,future,inspired,razorsharp,time,travel}"                 
## [1028] "{edge,epic,time,travel}"                                                     
## [1029] "{enter,epic,explore,future,inspired,neojapanese,time,travel}"                
## [1030] "{enter,epic,future,inspired,neojapanese,razorsharp,time,travel}"             
## [1031] "{cyberpunk,time}"                                                            
## [1032] "{epic,explore,future,inspired,neojapanese,razorsharp,time,travel}"           
## [1033] "{enter,epic,explore,future,inspired,razorsharp,travel}"                      
## [1034] "{edge,epic,travel}"                                                          
## [1035] "{enter,epic,explore,future,inspired,neojapanese,travel}"                     
## [1036] "{enter,epic,future,inspired,neojapanese,razorsharp,travel}"                  
## [1037] "{cyberpunk,rcyberpunkgame}"                                                  
## [1038] "{cyberpunk,gaming,rcyberpunk}"                                               
## [1039] "{epic,explore,future,inspired,neojapanese,razorsharp,travel}"                
## [1040] "{enter,epic,explore,future,inspired,neojapanese,razorsharp}"                 
## [1041] "{edge,razorsharp,time,travel}"                                               
## [1042] "{enter,explore,future,inspired,neojapanese,razorsharp,time,travel}"          
## [1043] "{enter,epic,explore,future,neojapanese,razorsharp,time,travel}"              
## [1044] "{edge,razorsharp,travel}"                                                    
## [1045] "{enter,explore,future,inspired,neojapanese,razorsharp,travel}"               
## [1046] "{enter,epic,explore,future,neojapanese,razorsharp,travel}"                   
## [1047] "{cyberpunk,rcyberpunk}"                                                      
## [1048] "{cyberpunk,edge,epic,razorsharp,travel}"                                     
## [1049] "{cyberpunk,enter,epic,explore,future,inspired,neojapanese,razorsharp,travel}"
## [1050] "{cyberpunk,via}"                                                             
## [1051] "{cyberpunk,rcyberpunk,via}"                                                  
## [1052] "{cyberpunk,night}"                                                           
## [1053] "{city,cyberpunk}"                                                            
## [1054] "{enter,epic,explore,inspired,neojapanese,razorsharp,travel}"                 
## [1055] "{gaming,via}"                                                                
## [1056] "{enter,epic,explore,inspired,neojapanese,razorsharp,time,travel}"            
## [1057] "{cyberpunk,red}"                                                             
## [1058] "{cyberpunk,gaming}"                                                          
## [1059] "{time}"                                                                      
## [1060] "{cyberpunk,projekt}"                                                         
## [1061] "{via}"                                                                       
## [1062] "{rcyberpunk}"                                                                
## [1063] "{project}"                                                                   
## [1064] "{gaming,rcyberpunk}"                                                         
## [1065] "{rcyberpunkgame}"                                                            
## [1066] "{edge,epic,razorsharp,travel}"                                               
## [1067] "{enter,epic,explore,future,inspired,neojapanese,razorsharp,travel}"          
## [1068] "{cyberpunk,vgpunite}"                                                        
## [1069] "{city}"                                                                      
## [1070] "{night}"                                                                     
## [1071] "{gaming}"                                                                    
## [1072] "{rcyberpunk,via}"                                                            
## [1073] "{projekt}"                                                                   
## [1074] "{red}"                                                                       
## [1075] "{cyberpunk,virtualphotography}"                                              
## [1076] "{virtualphotography}"                                                        
## [1077] "{vgpunite}"                                                                  
## [1078] "{cyberpunk,photomode}"                                                       
## [1079] "{cyberpunk,cyberpunkgame}"                                                   
## [1080] "{photomode}"                                                                 
## [1081] "{cyberpunkgame}"                                                             
## [1082] "{edge,epic,razorsharp,time,travel}"                                          
## [1083] "{enter,epic,explore,future,inspired,neojapanese,razorsharp,time,travel}"     
## [1084] "{gaming,rcyberpunk,via}"                                                     
## [1085] "{xboxshare}"                                                                 
## [1086] "{cdprojektred,psshare}"                                                      
## [1087] "{cyberpunkphotomode}"                                                        
## [1088] "{psshare}"                                                                   
## [1089] "{photomode,virtualphotography}"                                              
## [1090] "{cdprojektred,photomode}"                                                    
## [1091] "{nightcity}"                                                                 
## [1092] "{cdprojektred,virtualphotography}"                                           
## [1093] "{judyalvarez}"                                                               
## [1094] "{vgpunite,virtualphotography}"                                               
## [1095] "{twitch}"                                                                    
## [1096] "{rcyberpunkgame,via}"                                                        
## [1097] "{live}"                                                                      
## [1098] "{patch}"                                                                     
## [1099] "{cdprojektred,game}"                                                         
## [1100] "{cdprojektred,cyberpunkgame}"                                                
## [1101] "{cdprojektred}"                                                              
## [1102] "{city,night}"                                                                
## [1103] "{part}"                                                                      
## [1104] "{xbox}"                                                                      
## [1105] "{update}"                                                                    
## [1106] "{johnny}"                                                                    
## [1107] "{playing}"                                                                   
## [1108] "{come}"                                                                      
## [1109] "{fef}"                                                                       
## [1110] "{playstation}"                                                               
## [1111] "{judy}"                                                                      
## [1112] "{youtube}"                                                                   
## [1113] "{check}"                                                                     
## [1114] "{love}"                                                                      
## [1115] "{see}"                                                                       
## [1116] "{play}"                                                                      
## [1117] "{now}"                                                                       
## [1118] "{got}"                                                                       
## [1119] "{new}"                                                                       
## [1120] "{back}"                                                                      
## [1121] "{going}"                                                                     
## [1122] "{good}"                                                                      
## [1123] "{still}"                                                                     
## [1124] "{one}"                                                                       
## [1125] "{game}"                                                                      
## [1126] "{just}"                                                                      
## [1127] "{like}"                                                                      
## [1128] "{can}"                                                                       
## [1129] "{will}"                                                                      
## [1130] "{get}"                                                                       
## [1131] "{projekt,red}"                                                               
## Itemsets in Consequent (RHS)
##  [1] "{cyberpunk}"          "{cdprojektred}"       "{photomode}"         
##  [4] "{virtualphotography}" "{vgpunite}"           "{red}"               
##  [7] "{projekt}"            "{gaming}"             "{night}"             
## [10] "{city}"               "{time}"               "{via}"               
## [13] "{rcyberpunkgame}"     "{rcyberpunk}"         "{future}"            
## [16] "{inspired}"           "{epic}"               "{enter}"             
## [19] "{explore}"            "{razorsharp}"         "{neojapanese}"       
## [22] "{travel}"             "{edge}"

plot(rules, measure=c("support","lift"), shading="confidence")
## To reduce overplotting, jitter is added! Use jitter = 0 to prevent jitter.

plot(rules, method="grouped")

plot(rules.xbox, method="graph")

plot(rules.sony, method="graph")

plot(rules.witcher, method="graph")

plot(rules.love, method="graph")

plot(rules.xbox, method="paracoord", control=list(reorder=TRUE))

plot(rules.sony, method="paracoord", control=list(reorder=TRUE))

plot(rules.witcher, method="paracoord", control=list(reorder=TRUE))

plot(rules.love, method="paracoord", control=list(reorder=TRUE))

freq.items<-eclat(trans, parameter=list(supp=0.006, maxlen=15)) 
## Eclat
## 
## parameter specification:
##  tidLists support minlen maxlen            target  ext
##     FALSE   0.006      1     15 frequent itemsets TRUE
## 
## algorithmic control:
##  sparse sort verbose
##       7   -2    TRUE
## 
## Absolute minimum support count: 273 
## 
## create itemset ... 
## set transactions ...[1123 item(s), 45559 transaction(s)] done [0.06s].
## sorting and recoding items ... [176 item(s)] done [0.00s].
## creating sparse bit matrix ... [176 row(s), 45559 column(s)] done [0.00s].
## writing  ... [2370 set(s)] done [0.06s].
## Creating S4 object  ... done [0.00s].
freq.rules<-ruleInduction(freq.items, trans, confidence=0.5)
freq.rules
## set of 11129 rules
freq.items<-eclat(trans, parameter=list(supp=0.05, maxlen=15)) 
## Eclat
## 
## parameter specification:
##  tidLists support minlen maxlen            target  ext
##     FALSE    0.05      1     15 frequent itemsets TRUE
## 
## algorithmic control:
##  sparse sort verbose
##       7   -2    TRUE
## 
## Absolute minimum support count: 2277 
## 
## create itemset ... 
## set transactions ...[1123 item(s), 45559 transaction(s)] done [0.05s].
## sorting and recoding items ... [9 item(s)] done [0.00s].
## creating sparse bit matrix ... [9 row(s), 45559 column(s)] done [0.00s].
## writing  ... [13 set(s)] done [0.00s].
## Creating S4 object  ... done [0.00s].
arules::inspect(freq.items)
##      items                           support count
## [1]  {cyberpunk, psshare}            0.05555  2531
## [2]  {cyberpunk, virtualphotography} 0.05408  2464
## [3]  {cdprojektred, cyberpunk}       0.07636  3479
## [4]  {cyberpunk, game}               0.05641  2570
## [5]  {cyberpunk}                     0.67120 30579
## [6]  {game}                          0.10185  4640
## [7]  {cdpr}                          0.10808  4924
## [8]  {cdprojektred}                  0.09487  4322
## [9]  {red}                           0.05823  2653
## [10] {virtualphotography}            0.06032  2748
## [11] {just}                          0.05261  2397
## [12] {cyberpunkgame}                 0.06016  2741
## [13] {psshare}                       0.05707  2600
freq.rules<-ruleInduction(freq.items, trans, confidence=0.1)
freq.rules
## set of 5 rules
arules::inspect(freq.rules)
##     lhs                     rhs            support confidence lift   itemset
## [1] {psshare}            => {cyberpunk}    0.05555 0.9735     1.4503 1      
## [2] {virtualphotography} => {cyberpunk}    0.05408 0.8967     1.3359 2      
## [3] {cyberpunk}          => {cdprojektred} 0.07636 0.1138     1.1993 3      
## [4] {cdprojektred}       => {cyberpunk}    0.07636 0.8050     1.1993 3      
## [5] {game}               => {cyberpunk}    0.05641 0.5539     0.8252 4