library(openxlsx)
library(tm)
library(car)
library(foreign)
library(readr)
library(dplyr)
library(RWeka)
library(RODBC)
library(class)
library(gmodels)
library(stats)This project explores a basic application k-means clustering. The data used are for practice and were drawn from “social networking service” data and text: “Machine Learning with R”.
# call data
teens<-read.xlsx("C:\\Users\\Jaire\\OneDrive\\Desktop\\Exploratory Research\\ML\\snsdata.xlsx")# view data
str(teens)## 'data.frame': 30000 obs. of 40 variables:
## $ gradyear : num 2006 2006 2006 2006 2006 ...
## $ gender : chr "M" "F" "M" "F" ...
## $ age : num 19 18.8 18.3 18.9 19 ...
## $ friends : num 7 0 69 0 10 142 72 17 52 39 ...
## $ basketball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ football : num 0 1 1 0 0 0 0 0 0 0 ...
## $ soccer : num 0 0 0 0 0 0 0 0 0 0 ...
## $ softball : num 0 0 0 0 0 0 0 1 0 0 ...
## $ volleyball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ swimming : num 0 0 0 0 0 0 0 0 0 0 ...
## $ cheerleading: num 0 0 0 0 0 0 0 0 0 0 ...
## $ baseball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ tennis : num 0 0 0 0 0 0 0 0 0 0 ...
## $ sports : num 0 0 0 0 0 0 0 0 0 0 ...
## $ cute : num 0 1 0 1 0 0 0 0 0 1 ...
## $ sex : num 0 0 0 0 1 1 0 2 0 0 ...
## $ sexy : num 0 0 0 0 0 0 0 1 0 0 ...
## $ hot : num 0 0 0 0 0 0 0 0 0 1 ...
## $ kissed : num 0 0 0 0 5 0 0 0 0 0 ...
## $ dance : num 1 0 0 0 1 0 0 0 0 0 ...
## $ band : num 0 0 2 0 1 0 1 0 0 0 ...
## $ marching : num 0 0 0 0 0 1 1 0 0 0 ...
## $ music : num 0 2 1 0 3 2 0 1 0 1 ...
## $ rock : num 0 2 0 1 0 0 0 1 0 1 ...
## $ god : num 0 1 0 0 1 0 0 0 0 6 ...
## $ church : num 0 0 0 0 0 0 0 0 0 0 ...
## $ jesus : num 0 0 0 0 0 0 0 0 0 2 ...
## $ bible : num 0 0 0 0 0 0 0 0 0 0 ...
## $ hair : num 0 6 0 0 1 0 0 0 0 1 ...
## $ dress : num 0 4 0 0 0 1 0 0 0 0 ...
## $ blonde : num 0 0 0 0 0 0 0 0 0 0 ...
## $ mall : num 0 1 0 0 0 0 2 0 0 0 ...
## $ shopping : num 0 0 0 0 2 1 0 0 0 1 ...
## $ clothes : num 0 0 0 0 0 0 0 0 0 0 ...
## $ hollister : num 0 0 0 0 0 0 2 0 0 0 ...
## $ abercrombie : num 0 0 0 0 0 0 0 0 0 0 ...
## $ die : num 0 0 0 0 0 0 0 0 0 0 ...
## $ death : num 0 0 1 0 0 0 0 0 0 0 ...
## $ drunk : num 0 0 0 0 1 1 0 0 0 0 ...
## $ drugs : num 0 0 0 0 1 0 0 0 0 0 ...# restrict age to junior high and high school age teens
teens$age <- ifelse(teens$age >= 13 & teens$age < 20,teens$age, NA)# remove NA's from data frame
teens<-na.omit(teens)
table(teens$gender, useNA = "ifany")##
## F M
## 19015 4587str(teens)## 'data.frame': 23602 obs. of 40 variables:
## $ gradyear : num 2006 2006 2006 2006 2006 ...
## $ gender : chr "M" "F" "M" "F" ...
## $ age : num 19 18.8 18.3 18.9 18.9 ...
## $ friends : num 7 0 69 0 72 17 52 39 8 21 ...
## $ basketball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ football : num 0 1 1 0 0 0 0 0 0 1 ...
## $ soccer : num 0 0 0 0 0 0 0 0 0 0 ...
## $ softball : num 0 0 0 0 0 1 0 0 0 0 ...
## $ volleyball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ swimming : num 0 0 0 0 0 0 0 0 0 0 ...
## $ cheerleading: num 0 0 0 0 0 0 0 0 0 0 ...
## $ baseball : num 0 0 0 0 0 0 0 0 0 0 ...
## $ tennis : num 0 0 0 0 0 0 0 0 0 0 ...
## $ sports : num 0 0 0 0 0 0 0 0 0 0 ...
## $ cute : num 0 1 0 1 0 0 0 1 0 0 ...
## $ sex : num 0 0 0 0 0 2 0 0 0 0 ...
## $ sexy : num 0 0 0 0 0 1 0 0 0 0 ...
## $ hot : num 0 0 0 0 0 0 0 1 0 0 ...
## $ kissed : num 0 0 0 0 0 0 0 0 0 0 ...
## $ dance : num 1 0 0 0 0 0 0 0 0 0 ...
## $ band : num 0 0 2 0 1 0 0 0 0 0 ...
## $ marching : num 0 0 0 0 1 0 0 0 0 0 ...
## $ music : num 0 2 1 0 0 1 0 1 0 0 ...
## $ rock : num 0 2 0 1 0 1 0 1 0 0 ...
## $ god : num 0 1 0 0 0 0 0 6 0 0 ...
## $ church : num 0 0 0 0 0 0 0 0 0 1 ...
## $ jesus : num 0 0 0 0 0 0 0 2 0 0 ...
## $ bible : num 0 0 0 0 0 0 0 0 0 0 ...
## $ hair : num 0 6 0 0 0 0 0 1 0 0 ...
## $ dress : num 0 4 0 0 0 0 0 0 0 0 ...
## $ blonde : num 0 0 0 0 0 0 0 0 0 0 ...
## $ mall : num 0 1 0 0 2 0 0 0 0 0 ...
## $ shopping : num 0 0 0 0 0 0 0 1 0 0 ...
## $ clothes : num 0 0 0 0 0 0 0 0 0 0 ...
## $ hollister : num 0 0 0 0 2 0 0 0 0 0 ...
## $ abercrombie : num 0 0 0 0 0 0 0 0 0 0 ...
## $ die : num 0 0 0 0 0 0 0 0 0 0 ...
## $ death : num 0 0 1 0 0 0 0 0 0 0 ...
## $ drunk : num 0 0 0 0 0 0 0 0 0 0 ...
## $ drugs : num 0 0 0 0 0 0 0 0 0 0 ...
## - attr(*, "na.action")= 'omit' Named int [1:6398] 5 6 14 16 17 27 35 39 42 49 ...
## ..- attr(*, "names")= chr [1:6398] "5" "6" "14" "16" ...ncol(teens)## [1] 40teens$gender<-as.factor(teens$gender)
table(teens$gender)##
## F M
## 19015 4587is.factor(teens$gender)## [1] TRUEteens$female <- ifelse(teens$gender == "F", 1, 0)
teens$male <- ifelse(teens$gender == "M", 1, 0)
table(teens$female)##
## 0 1
## 4587 19015table(teens$male)##
## 0 1
## 19015 4587# check mean age and mean age by graduation year
mean(teens$age)## [1] 17.25422aggregate(data = teens, age ~ gradyear, mean)## gradyear age
## 1 2006 18.65816
## 2 2007 17.70789
## 3 2008 16.76899
## 4 2009 15.82202The data look adequate for further analysis.
# create data frame of only interests
interests <- teens[5:40]# z standardize all terms in "interests"
interests_z <- as.data.frame(lapply(interests, scale))# choose number of clusters
teen_clusters <- kmeans(interests_z, 7)# view cluster object
teen_clusters## K-means clustering with 7 clusters of sizes 15584, 523, 780, 3592, 700, 2038, 385
##
## Cluster means:
## basketball football soccer softball volleyball swimming
## 1 -0.18200594 -0.196516961 -0.08303520 -0.138925767 -0.129061823 -0.09197920
## 2 -0.08753037 0.073025976 -0.07687233 -0.054909577 -0.063418233 0.03337773
## 3 0.32655105 0.332627765 0.14451628 0.148548919 0.080556483 0.23371942
## 4 -0.02850671 0.008034884 0.04961194 -0.082054301 -0.042177980 0.24174255
## 5 0.14052307 0.235282021 0.12152997 -0.002885147 0.173812456 0.21150483
## 6 1.26661183 1.261238231 0.46591172 1.171180808 0.985171560 0.10088094
## 7 0.13019271 0.002378806 0.02258938 -0.031789961 0.009579421 0.03028087
## cheerleading baseball tennis sports cute sex
## 1 -0.118632757 -0.14238142 -0.04078227 -0.1572677892 -0.212284168 -0.098468397
## 2 -0.118272361 -0.11941659 0.01705870 -0.1484737105 -0.031108271 -0.028447942
## 3 0.121612050 0.22995372 0.13122377 0.7297110010 0.467477867 2.014259504
## 4 0.393117676 -0.09007097 0.03430066 -0.0950432649 0.754884898 0.003377005
## 5 0.389270306 -0.00437148 0.09568310 0.0727701993 0.413001304 0.015180067
## 6 0.065490604 1.19858537 0.15475056 1.1038508492 -0.021670384 -0.026842313
## 7 -0.005885254 -0.03677649 0.04858926 0.0003808678 0.008805536 0.026586348
## sexy hot kissed dance band marching
## 1 -0.10572616 -0.15129033 -0.13591440 -0.18051655 -0.13379522 -0.11387766
## 2 -0.03049067 -0.05900998 -0.02511820 0.05053108 4.29825052 4.78225728
## 3 0.51637010 0.29155142 3.07650949 0.38324874 0.38660535 -0.03000540
## 4 0.33921254 0.54101933 -0.02220622 0.67838046 -0.05656813 -0.11347955
## 5 0.12402138 0.40831832 0.02797567 0.20154447 -0.11725370 -0.11261994
## 6 -0.01390260 -0.04238733 -0.09456362 -0.04226866 -0.10392896 -0.10336482
## 7 -0.04186622 0.04774488 -0.04038497 -0.01005723 0.08468823 -0.01542044
## music rock god church jesus bible
## 1 -0.15868312 -0.12380596 -0.104619735 -0.14574455 -0.071911009 -0.10953370
## 2 0.49706503 0.18252941 0.074247723 0.03386469 -0.019348284 -0.05033551
## 3 1.10658899 1.12592953 0.365862581 0.17078548 0.071291718 0.01616125
## 4 0.30593935 0.15321847 0.119951624 0.39596100 0.051226668 -0.10666059
## 5 0.10700662 0.05532486 -0.015582838 -0.02423579 0.005348921 -0.07267578
## 6 0.04520329 0.15676917 0.009825373 0.11508261 -0.015406184 -0.09434202
## 7 0.21779270 0.12239059 2.249888882 1.24803637 2.386545823 6.09599944
## hair dress blonde mall shopping clothes
## 1 -0.215897988 -0.16988747 -0.027939290 -0.20552978 -0.2523528359 -0.20824318
## 2 -0.035890693 0.04215098 -0.010715078 -0.07401696 -0.0498654780 -0.02114053
## 3 2.509622385 0.50208616 0.359086482 0.54472083 0.2004262515 1.17404935
## 4 0.315935474 0.63999969 0.015973389 0.68627096 0.9102840197 0.55375044
## 5 0.413711008 0.12950215 0.058488975 0.61999363 0.7738975515 0.54703428
## 6 -0.009558277 -0.08191921 0.031537303 -0.02489169 0.0007147159 -0.02140147
## 7 0.054185611 0.02928598 -0.004335847 -0.08194000 -0.0273021080 0.03163738
## hollister abercrombie die death drunk drugs
## 1 -0.15983276 -0.15051043 -0.10137861 -0.08367382 -0.09420153 -0.11533400
## 2 -0.17349842 -0.14608565 -0.01332588 0.01087006 -0.08966266 -0.06643161
## 3 0.14149993 0.25184348 1.80530935 0.96882433 1.84952143 2.83086170
## 4 -0.04098402 -0.06769066 0.05075070 0.12467733 0.04883709 -0.06506930
## 5 4.05791307 3.90185968 0.04442609 0.07232357 0.04283259 0.02395552
## 6 -0.09198237 -0.11253180 -0.06002318 -0.03388341 -0.07775170 -0.09332589
## 7 -0.09002848 -0.08648745 0.22764911 0.29400436 0.06585933 0.08102576
##
## Clustering vector:
## [1] 1 4 1 1 5 1 1 4 1 1 1 1 1 1 5 5 1 1 1 1 1 3 4 4 1 6 1 1 1 1 1 3 1 1 1 7
## [37] 1 4 4 4 2 4 1 5 1 2 3 1 1 1 1 4 6 1 1 1 1 1 1 1 1 1 1 1 1 6 4 5 1 1 1 1
## [73] 1 1 6 1 6 5 1 1 1 4 4 1 1 4 4 1 1 1 2 1 5 1 5 1 1 4 1 1 1 1 1 4 7 1 1 1
## [109] 4 1 1 2 2 1 1 1 6 4 1 7 1 1 1 1 1 4 1 1 4 6 1 1 6 1 1 1 1 1 1 1 4 5 1 4
## [145] 2 1 1 4 4 4 4 1 1 1 7 3 2 1 1 1 1 6 5 2 1 1 4 1 1 1 4 1 1 1 1 1 4 7 1 1
## [181] 1 6 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 4 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [217] 1 1 1 7 1 1 1 1 1 1 1 1 4 1 6 1 1 1 1 1 1 1 1 1 1 6 4 6 1 7 1 4 1 1 1 1
## [253] 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 6 6 1 1 1 4 1 1 4 1 1 1 1 4 1 4 1 4 1 1 1
## [289] 1 1 1 6 4 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 6 1 1 1 1 1 1
## [325] 2 3 6 1 4 1 1 1 1 1 1 4 4 1 1 6 3 1 1 1 1 1 4 1 4 4 1 6 1 1 1 1 1 1 1 1
## [361] 5 1 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 3 4 1 1 1 1 1 6 1 1 1 1 1 1 1 4 1 4
## [397] 4 1 4 1 7 4 2 2 7 1 4 2 1 2 1 1 1 1 6 1 6 1 4 1 1 1 1 1 1 1 6 6 1 1 6 6
## [433] 1 1 1 5 6 1 1 1 6 1 6 4 1 4 4 1 6 1 1 7 1 1 1 1 1 1 1 1 4 4 6 4 1 1 1 1
## [469] 1 1 1 1 1 1 1 1 1 3 1 4 1 1 6 6 1 1 1 1 4 1 6 1 1 4 1 6 1 1 4 1 1 4 1 1
## [505] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 2 1 1 4
## [541] 1 1 1 1 1 6 1 1 4 4 1 1 6 1 1 6 1 1 1 1 1 1 6 1 1 1 1 1 1 4 1 1 1 2 6 1
## [577] 6 1 4 4 1 4 4 4 1 1 1 6 4 1 1 1 1 1 6 1 1 1 7 1 5 4 1 1 1 1 1 6 1 1 1 1
## [613] 1 1 4 2 1 1 1 1 1 1 1 2 4 1 4 4 1 1 4 2 1 2 1 1 1 6 4 1 1 1 1 1 1 1 1 4
## [649] 1 2 1 1 1 1 1 1 1 1 1 1 6 1 1 1 6 1 1 1 1 1 1 1 4 1 1 1 1 6 1 1 1 1 1 1
## [685] 4 6 4 4 1 1 1 1 1 1 1 1 1 1 4 1 1 2 6 1 4 4 1 6 1 5 1 3 1 1 4 1 2 5 1 1
## [721] 1 1 1 1 4 7 1 1 1 1 1 1 1 7 1 3 4 1 1 1 1 1 4 1 1 1 4 4 6 1 1 1 1 1 5 1
## [757] 1 1 4 1 1 1 1 1 1 1 1 4 1 3 4 1 1 4 1 4 4 1 7 1 1 1 1 1 1 1 1 1 1 7 1 1
## [793] 6 4 3 1 6 4 4 6 3 4 4 4 4 1 6 1 1 6 1 4 1 4 1 1 3 1 1 1 4 1 6 1 1 1 1 1
## [829] 1 5 1 1 4 4 1 4 1 4 1 4 1 1 4 1 1 1 1 1 1 1 1 4 4 4 4 6 1 1 1 1 1 1 1 1
## [865] 6 4 4 3 3 1 1 5 4 4 1 1 6 1 1 4 4 1 1 1 6 1 1 4 4 1 1 1 1 1 1 1 4 1 1 1
## [901] 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 2 1 6 4 4 4 4 4 7 1 1 1 1 1
## [937] 6 1 5 1 1 3 1 4 4 4 6 1 4 1 1 4 1 7 1 2 1 1 1 1 1 2 1 1 1 1 7 1 1 4 1 4
## [973] 1 1 4 4 1 1 1 1 1 1 1 1 1 1 4 1 1 1 6 1 3 1 3 2 1 3 1 1 6 1 1 5 1 1 6 1
## [1009] 1 1 4 1 1 1 1 1 1 4 3 1 1 1 4 1 1 4 1 6 1 1 1 6 5 1 1 1 2 4 1 1 1 1 1 1
## [1045] 1 2 4 1 2 1 7 1 4 6 1 2 1 1 4 3 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1
## [1081] 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 4 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1
## [1117] 1 6 1 1 4 1 1 1 1 1 1 1 1 7 1 2 4 1 3 5 1 1 1 4 1 1 1 4 1 1 3 5 1 1 1 1
## [1153] 6 4 1 4 7 3 1 1 2 6 1 1 4 1 1 4 1 1 1 3 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1
## [1189] 1 4 4 4 7 4 4 1 1 4 4 7 1 1 4 1 1 4 1 4 1 6 1 4 1 1 6 3 6 2 4 1 1 1 1 6
## [1225] 1 2 1 6 1 1 1 1 1 2 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 6 4 1 1 4 1 1 1 4 1
## [1261] 1 4 1 1 4 1 3 4 1 4 1 5 4 1 5 6 1 4 1 1 1 1 1 7 1 1 1 1 6 6 1 1 1 4 1 6
## [1297] 6 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 1 1 1 4 1 4 1 1 1 1 1 7 1 1 1 1 7 1 1 1
## [1333] 1 1 1 5 1 1 6 1 1 4 1 1 1 1 1 1 1 1 3 1 1 6 2 2 1 1 3 1 2 1 7 4 1 1 1 3
## [1369] 4 1 1 1 1 1 1 4 1 1 1 7 1 1 7 3 1 1 4 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1
## [1405] 1 1 4 1 1 1 6 1 1 4 1 1 4 1 1 1 1 1 1 1 1 1 1 1 2 1 1 4 1 1 1 6 4 1 1 4
## [1441] 4 1 4 7 1 1 1 4 1 2 1 1 4 6 1 5 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1
## [1477] 3 1 2 1 1 1 6 1 1 1 4 6 1 1 1 1 1 2 1 1 1 1 1 1 1 6 4 6 1 1 3 3 1 1 1 1
## [1513] 1 1 1 1 1 4 5 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 4 1 4 4 1 1 4 1 4 1
## [1549] 1 1 1 4 1 1 1 1 4 1 4 1 1 1 1 1 1 1 6 1 1 1 4 1 1 3 1 1 1 1 1 6 1 1 1 4
## [1585] 2 1 1 1 1 1 1 1 1 6 1 1 6 1 1 1 1 1 7 1 4 1 1 1 1 1 1 1 4 4 1 4 1 5 1 1
## [1621] 4 1 7 1 1 1 6 1 1 6 1 1 1 1 3 1 3 1 4 1 1 1 1 1 4 1 1 1 3 1 6 4 1 1 1 1
## [1657] 1 1 1 1 1 1 2 1 1 1 4 7 1 1 1 3 1 1 1 4 1 4 1 5 3 5 1 1 1 1 4 1 1 2 1 1
## [1693] 1 1 5 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 6 1 1 1 4 1 5 1 7 1 1 1
## [1729] 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 7 4 1 1 1 1
## [1765] 1 1 1 1 4 4 7 1 1 5 2 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 4 3 1 1 1 1 4
## [1801] 3 1 4 1 6 1 1 1 4 1 1 1 6 1 2 1 1 1 1 1 6 4 6 1 1 3 1 1 4 6 1 1 4 1 1 1
## [1837] 1 1 1 6 3 1 6 1 1 1 7 6 1 1 4 1 1 1 1 1 1 1 4 1 6 7 3 6 1 1 1 1 1 1 4 1
## [1873] 1 1 1 1 1 6 1 1 1 1 1 4 1 1 1 1 6 1 1 1 7 3 4 1 1 1 1 1 1 1 4 1 1 1 2 1
## [1909] 1 1 4 1 3 1 1 1 4 1 4 1 1 1 3 4 1 1 5 5 4 6 1 1 1 1 4 1 1 1 1 1 1 1 1 1
## [1945] 1 4 1 1 6 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 4 1 1 1 4
## [1981] 5 1 1 1 5 1 2 6 7 1 2 1 4 1 1 1 1 1 1 1 1 6 6 1 1 1 1 1 6 1 1 1 4 1 1 6
## [2017] 1 4 4 1 2 4 1 3 1 1 6 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 4 1 5 1 1 1 1
## [2053] 1 1 1 4 1 4 1 1 1 1 6 1 4 4 1 1 4 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1
## [2089] 1 1 4 1 6 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 6 1 5 1 4 4 1 1 1 1 1 1 4
## [2125] 1 4 1 1 1 1 1 1 1 1 4 1 1 1 6 1 1 1 1 1 2 1 7 1 1 1 6 2 1 1 1 1 4 1 1 4
## [2161] 1 1 1 1 1 1 3 1 1 4 1 1 1 5 4 1 1 1 4 1 1 6 1 1 1 2 7 1 4 1 1 1 1 1 2 1
## [2197] 1 6 1 1 1 1 1 1 4 1 1 1 4 6 1 1 6 1 2 6 4 1 4 1 1 1 1 6 1 1 1 1 1 6 1 1
## [2233] 1 4 2 1 1 1 1 5 5 4 1 1 1 5 4 1 5 7 1 1 1 1 1 1 1 1 1 1 3 6 6 1 4 1 6 1
## [2269] 1 4 4 3 1 4 1 1 1 1 1 1 1 1 1 1 1 1 2 1 4 4 1 1 2 4 1 1 1 1 1 1 4 1 1 1
## [2305] 1 5 5 4 2 1 1 1 1 1 1 1 1 4 4 1 1 1 1 6 1 1 2 1 1 3 1 1 4 1 1 1 1 1 1 1
## [2341] 1 1 4 1 1 1 1 1 1 1 1 4 1 6 7 4 1 7 4 6 4 1 7 1 1 1 1 1 1 1 6 1 1 1 6 3
## [2377] 4 1 1 7 1 1 1 1 1 1 1 1 1 1 6 1 1 2 4 1 1 1 1 4 1 1 3 1 1 1 1 1 1 1 1 1
## [2413] 6 3 1 7 1 4 1 1 1 1 1 1 1 1 1 1 1 7 1 6 1 1 1 1 6 1 1 2 3 6 4 1 7 2 1 1
## [2449] 1 1 1 1 1 6 4 1 4 1 1 6 1 1 1 1 1 4 1 1 1 1 6 1 1 1 1 4 1 1 1 4 1 1 1 1
## [2485] 1 4 1 4 4 1 1 7 1 1 1 1 1 1 1 1 1 1 4 1 1 1 7 1 1 1 4 1 1 1 1 4 5 4 1 3
## [2521] 1 4 1 6 6 1 1 4 3 1 1 4 1 3 1 1 1 1 5 1 1 1 1 1 1 1 6 4 4 4 1 1 1 4 4 1
## [2557] 6 6 6 4 1 1 6 1 1 1 4 1 1 2 4 4 1 1 1 1 7 1 4 1 1 1 1 1 1 1 5 4 1 1 1 1
## [2593] 1 1 3 1 1 1 1 6 1 1 1 4 1 1 1 4 1 1 1 1 1 1 1 1 1 4 4 1 1 1 4 4 5 4 1 1
## [2629] 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 6 4 6 1 1 7 1 6 1 2 1 1 1 1 1 4 1 4 1 1
## [2665] 1 1 1 4 4 4 1 7 4 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 3 1 3 1 1
## [2701] 1 4 7 1 1 1 6 1 1 1 1 1 1 7 1 1 1 1 1 4 1 1 1 1 1 1 6 1 1 1 1 6 6 1 1 1
## [2737] 1 5 1 4 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 1 1 4 1 4 4 4 1 1 4 1 1 3
## [2773] 1 1 5 1 1 1 4 1 2 4 1 1 1 2 6 4 6 1 1 1 6 3 1 1 1 1 4 4 4 1 4 4 1 1 6 4
## [2809] 1 1 4 2 1 1 1 1 1 1 1 1 7 1 6 4 1 1 1 3 1 4 1 6 1 1 1 1 1 4 1 1 1 1 5 1
## [2845] 1 3 1 1 3 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 3 1 5 6 7 1 1 1 1 1 1 1 1
## [2881] 1 4 1 1 1 1 5 4 1 3 1 1 1 1 4 4 1 1 1 1 6 4 1 1 1 1 1 1 1 6 6 1 1 1 1 6
## [2917] 1 1 4 4 1 1 4 3 1 5 4 1 1 1 1 6 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 4 1 7 1 1
## [2953] 1 1 1 1 4 1 4 2 6 1 1 1 1 1 1 1 1 1 4 4 1 4 5 1 1 1 1 1 1 1 1 6 1 4 1 4
## [2989] 5 1 1 1 1 1 4 2 1 3 1 1 1 1 1 6 1 1 1 3 4 1 1 1 1 1 1 1 4 4 1 1 6 6 1 1
## [3025] 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 4 4 4 4 1 1 2 1 1 1 4 1 1 1 1 4 1 1 4 1 1
## [3061] 1 1 1 1 1 4 1 1 1 4 1 1 1 7 4 1 1 4 2 1 1 4 6 1 1 4 1 1 1 1 1 1 1 1 4 6
## [3097] 5 1 6 6 4 6 1 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 4 3 4 1 3 1 1 1 1 6 5 1 1
## [3133] 1 1 1 5 1 1 1 1 1 3 1 1 1 1 1 1 4 1 6 1 1 6 1 1 1 1 1 1 1 1 6 1 6 1 1 6
## [3169] 1 1 3 1 1 1 1 1 1 4 1 1 3 1 1 6 1 1 1 3 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1
## [3205] 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 6 4 1 4 1 1 1 1 3 1 1 1 1 1 1 4 1 1
## [3241] 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 4 1 1
## [3277] 1 4 1 4 1 1 1 6 1 1 1 4 1 6 1 1 4 4 1 1 1 1 1 1 3 1 1 1 1 4 4 3 1 1 1 1
## [3313] 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 6 2 1 4 1 4 4 1 1 1 3 1 1 1 1 1
## [3349] 1 1 1 1 1 4 1 6 1 1 1 1 1 1 1 1 1 1 6 1 4 1 4 1 1 6 1 1 1 1 1 1 1 1 1 1
## [3385] 1 4 4 1 2 1 4 3 2 1 1 6 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 4 4 1 4 1 7 4 1
## [3421] 1 1 1 1 1 1 2 4 1 1 1 1 6 1 1 1 4 1 4 2 1 1 1 5 1 1 4 1 3 4 1 7 4 1 1 1
## [3457] 1 1 4 6 1 4 2 4 1 4 1 4 1 1 1 2 1 1 1 1 1 7 1 1 1 1 1 1 1 1 4 1 1 3 1 1
## [3493] 1 5 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 6 1 4 4 1 4 1 1 1 1 7 1 6 6
## [3529] 1 1 4 1 7 1 3 2 1 1 1 1 3 1 6 1 1 1 1 4 1 4 1 4 1 4 1 1 1 4 1 1 1 7 1 1
## [3565] 2 1 7 4 5 1 1 6 1 7 1 1 1 4 1 1 1 1 1 4 1 1 4 6 1 6 1 3 1 1 1 1 1 4 2 1
## [3601] 1 2 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 4 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1
## [3637] 1 1 1 1 1 4 4 1 1 1 4 1 1 1 4 1 4 1 1 1 1 1 1 4 1 4 1 1 6 1 1 1 6 7 3 3
## [3673] 1 1 1 1 1 1 4 1 1 4 1 4 1 1 5 4 1 1 1 4 1 2 1 1 1 1 1 4 1 6 1 1 1 1 1 1
## [3709] 1 6 1 4 1 4 4 5 1 1 1 1 1 5 1 6 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1
## [3745] 2 1 6 1 1 1 1 1 3 2 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 4 5 1 1 1 1 1 1
## [3781] 1 4 1 1 3 4 1 1 4 1 1 1 7 1 1 3 4 1 1 1 1 3 1 1 1 1 1 1 1 1 3 2 4 1 1 1
## [3817] 1 1 1 1 1 1 4 1 7 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 4 1
## [3853] 5 3 1 1 1 1 1 1 1 1 1 5 1 1 1 5 4 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3889] 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 4 4 1 1 1 1 1 1 4 1 1 1 1 2 1
## [3925] 1 1 1 4 1 1 1 1 1 1 4 1 3 1 6 1 1 1 1 1 1 1 1 4 1 1 4 1 1 1 4 2 1 5 6 1
## [3961] 1 1 1 1 4 1 1 1 1 1 1 6 1 1 4 1 1 1 7 3 1 1 1 5 4 1 1 1 7 4 1 1 6 1 4 1
## [3997] 4 1 1 1 1 1 4 2 4 1 1 1 4 1 1 4 1 1 1 1 1 4 1 1 1 1 4 1 1 1 1 1 1 1 1 4
## [4033] 1 4 1 1 1 1 7 1 1 1 1 1 1 6 1 1 1 3 1 6 1 4 1 4 1 1 1 1 1 1 1 1 3 1 1 1
## [4069] 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 1 1 6 1 4 1 1
## [4105] 1 1 6 4 4 1 1 1 6 1 1 1 1 1 1 1 2 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 6 1 1 1
## [4141] 1 4 1 4 1 1 4 6 3 1 1 4 1 1 1 1 1 6 1 1 1 1 1 1 3 1 1 1 7 4 1 1 1 1 6 1
## [4177] 1 1 1 1 1 4 1 1 1 3 2 4 4 1 1 2 1 1 2 1 4 1 4 1 1 1 1 1 3 1 1 1 1 6 2 1
## [4213] 2 1 4 2 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 7 1 7 3 3 1 2 1 1 1 4 1 1 2
## [4249] 6 4 1 1 1 1 1 1 1 1 1 1 1 4 7 1 1 1 1 4 6 4 1 1 2 2 4 1 1 1 1 1 1 1 4 1
## [4285] 1 1 1 6 1 1 4 1 1 6 1 1 1 1 1 4 1 1 1 1 1 6 1 7 1 1 1 1 6 1 5 1 6 1 1 4
## [4321] 6 1 4 1 1 4 4 1 4 1 1 4 1 1 1 1 1 4 1 1 1 1 1 1 1 1 2 1 5 1 1 6 1 1 1 1
## [4357] 1 1 6 1 6 4 1 1 4 1 6 1 5 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1 5 1 1 1 1 1 1 1
## [4393] 1 1 1 1 2 1 1 1 1 1 4 1 1 1 4 1 1 1 1 1 1 6 1 1 1 1 1 1 1 5 4 1 2 4 1 1
## [4429] 1 1 1 4 1 4 1 1 1 1 1 5 1 2 1 1 1 5 6 6 1 6 1 1 1 1 1 4 1 3 1 4 1 1 1 1
## [4465] 1 1 4 1 1 4 1 1 4 1 1 2 1 1 6 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 5 4 4 1
## [4501] 1 1 1 3 1 1 4 1 3 1 2 1 1 1 1 7 1 1 7 1 1 4 1 1 1 1 1 1 1 4 4 1 1 1 1 1
## [4537] 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1 1 6 6 1 4 4 4 1 4 1 1 1 1 1 1 1 1
## [4573] 7 1 1 1 4 1 6 1 1 1 4 2 1 1 1 1 1 6 1 4 1 1 4 7 4 4 1 1 1 1 1 1 1 4 1 1
## [4609] 1 3 1 4 6 4 1 6 1 1 1 3 4 1 1 1 1 6 1 6 4 6 6 1 1 1 1 1 6 6 1 1 4 1 4 4
## [4645] 1 1 1 1 4 4 1 1 1 1 1 1 4 4 1 1 1 1 1 1 4 1 6 1 1 6 4 1 6 1 7 1 1 1 5 1
## [4681] 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 4 1 6 3 4 1 6 1 1 1 1 1 1 1 1 1 1 6 1 1
## [4717] 7 1 1 1 1 1 6 1 1 1 1 1 1 1 4 6 4 4 4 1 4 6 4 1 1 2 1 1 2 1 1 1 2 1 1 1
## [4753] 1 1 5 1 1 1 1 1 4 1 1 1 1 4 1 3 1 1 1 1 4 7 1 1 1 1 1 6 1 6 1 1 1 1 1 3
## [4789] 6 1 1 1 1 1 1 1 1 4 1 1 4 1 5 1 1 3 1 1 1 1 4 1 1 4 1 4 4 1 1 1 1 6 1 1
## [4825] 1 1 1 6 6 6 4 2 3 6 4 3 1 1 1 1 1 1 4 1 1 1 1 6 1 4 1 1 1 1 1 1 1 1 1 1
## [4861] 1 1 1 1 1 1 1 5 1 3 1 1 1 1 1 1 1 1 4 6 4 6 1 4 6 1 4 1 1 4 1 1 1 1 1 1
## [4897] 1 1 1 1 4 1 5 1 1 1 1 6 1 4 1 1 1 6 3 1 1 1 1 1 1 2 1 1 1 6 4 1 4 1 1 1
## [4933] 1 4 4 1 1 1 1 6 1 1 1 4 4 4 6 1 6 1 1 4 1 3 1 1 2 1 3 7 1 1 1 4 4 1 1 1
## [4969] 4 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 6 1 1
## [5005] 1 6 1 1 1 1 1 6 1 4 5 1 1 4 1 4 1 1 6 1 1 1 6 1 5 1 1 1 1 1 6 1 1 1 1 1
## [5041] 1 1 1 1 6 1 1 3 1 1 1 1 1 1 6 1 4 6 1 1 1 1 1 6 1 1 1 1 4 1 1 1 1 1 1 1
## [5077] 1 1 1 4 1 4 3 1 1 1 1 1 1 1 1 1 4 1 1 6 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1
## [5113] 1 1 7 1 1 1 1 4 1 7 1 1 1 1 1 4 1 1 1 7 1 6 7 1 4 1 1 1 1 6 1 1 1 1 1 1
## [5149] 1 1 4 1 1 1 4 1 2 1 1 6 1 1 6 1 6 1 1 1 1 1 1 6 4 1 1 5 4 1 1 4 1 4 1 1
## [5185] 1 4 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 6 1 3 7 1 4 1 4 1 1 1 3
## [5221] 6 6 1 1 1 1 1 1 1 1 2 1 1 1 1 4 1 1 1 1 1 1 1 1 4 1 4 1 6 4 1 7 4 4 5 7
## [5257] 1 1 1 1 1 1 7 4 1 1 1 1 1 1 2 2 3 1 7 1 1 6 1 1 1 4 4 1 1 1 6 2 4 6 1 1
## [5293] 1 1 1 1 2 1 1 1 1 1 4 1 1 1 1 4 1 7 1 1 1 6 1 1 6 6 2 1 1 1 1 1 1 1 1 1
## [5329] 4 1 1 4 1 1 1 1 1 3 1 1 1 2 1 1 1 6 1 1 1 1 1 1 1 1 1 1 4 1 1 4 1 1 4 1
## [5365] 6 6 1 1 1 1 1 1 4 1 1 1 1 3 1 6 1 1 1 1 4 1 1 1 4 1 6 1 1 1 1 1 1 1 1 1
## [5401] 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 6 1 4 5 1 1 4 1 1 1 1 2 6 1 1 1 1 1 5 4
## [5437] 4 1 1 1 1 1 1 1 7 1 1 1 1 4 1 1 6 3 1 6 1 4 1 1 6 6 1 1 1 1 1 1 1 1 1 1
## [5473] 3 2 1 1 1 1 1 1 4 1 1 1 1 1 6 3 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 3 6
## [5509] 1 1 1 1 1 4 1 5 5 2 1 1 1 2 1 1 4 4 4 1 4 1 1 1 1 1 4 1 1 1 5 5 1 4 4 1
## [5545] 1 6 4 1 1 1 1 1 1 3 1 1 4 6 1 1 1 2 4 5 2 1 1 1 1 1 1 1 1 1 1 5 1 6 1 1
## [5581] 1 1 1 4 1 1 3 1 1 6 1 1 1 1 1 1 4 1 1 1 1 1 6 1 4 1 1 3 1 5 1 4 1 1 4 1
## [5617] 1 1 1 4 3 1 4 1 1 4 1 1 1 1 1 1 1 1 6 1 4 1 1 6 1 1 1 4 1 1 7 1 1 1 6 1
## [5653] 4 1 1 1 1 6 1 1 6 1 3 1 6 1 4 1 6 1 6 4 1 1 1 1 1 4 6 1 6 4 1 1 1 1 1 4
## [5689] 4 1 1 4 6 1 1 1 1 4 1 5 4 1 4 1 6 1 1 1 6 1 1 4 4 5 4 1 1 4 4 1 1 1 4 1
## [5725] 1 1 4 1 5 4 1 4 1 4 1 1 1 1 5 1 1 1 1 4 1 1 4 4 4 1 4 1 1 1 1 1 1 5 4 1
## [5761] 1 5 5 1 1 1 1 1 1 4 6 1 2 1 4 1 1 1 1 4 1 4 1 4 1 1 1 4 4 1 4 1 7 4 1 4
## [5797] 1 1 1 1 1 1 5 1 1 1 1 3 1 4 4 1 1 1 4 1 1 1 1 1 6 1 6 1 1 1 1 1 1 1 4 6
## [5833] 1 4 1 4 2 3 1 4 1 5 6 1 1 4 1 1 3 3 1 4 1 1 1 4 4 3 1 1 6 3 1 5 4 4 1 1
## [5869] 1 1 1 1 6 4 1 1 1 1 1 1 5 1 1 1 4 1 1 1 1 1 1 1 1 1 7 1 1 1 7 1 1 1 4 3
## [5905] 1 1 6 4 1 1 2 1 1 1 4 3 1 1 1 1 1 6 1 3 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5941] 1 4 1 1 1 1 1 1 6 1 1 1 1 1 2 6 6 1 1 1 1 1 1 1 1 7 1 1 4 1 1 1 1 1 6 1
## [5977] 1 4 1 1 1 6 4 5 1 1 3 1 1 1 1 1 1 1 1 1 4 1 6 1 1 1 1 4 1 1 1 5 1 1 6 5
## [6013] 1 1 1 1 1 5 4 1 1 1 1 1 1 4 1 6 7 6 1 4 1 1 4 1 1 1 1 1 1 7 4 1 1 1 1 1
## [6049] 1 1 1 4 1 4 4 1 1 1 1 3 4 1 4 1 1 1 4 1 1 1 1 1 1 5 6 1 1 1 1 1 1 1 5 1
## [6085] 1 3 2 1 6 4 6 5 1 4 6 1 1 1 6 1 1 1 1 1 1 6 1 1 6 4 6 6 5 1 1 1 1 4 1 1
## [6121] 6 1 1 1 1 6 4 1 5 1 1 1 1 6 1 1 1 4 1 1 4 3 1 1 1 1 1 1 1 1 1 6 5 1 1 1
## [6157] 4 4 1 1 6 1 1 1 1 4 1 1 4 1 1 1 4 6 1 1 1 1 1 1 1 1 6 1 1 4 2 6 1 1 1 1
## [6193] 1 4 1 4 1 1 4 1 6 4 4 1 1 1 1 1 4 1 1 6 1 6 1 1 1 3 1 1 1 1 1 1 1 1 3 1
## [6229] 6 1 1 1 1 1 5 1 1 2 2 4 1 3 1 1 1 1 6 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 6
## [6265] 1 1 1 1 1 1 1 6 1 1 4 4 1 1 1 1 1 5 3 4 1 6 1 1 1 1 6 3 4 1 4 1 1 4 4 1
## [6301] 4 1 4 1 1 4 1 1 1 1 3 3 1 4 4 1 7 4 1 6 1 1 1 6 6 1 1 1 1 4 3 1 1 1 1 4
## [6337] 1 1 4 4 1 1 4 4 4 1 2 1 2 1 2 1 4 4 1 6 1 1 6 1 6 1 1 1 1 1 1 3 1 1 4 1
## [6373] 1 1 4 1 1 3 1 1 1 1 4 1 3 4 4 1 1 6 1 1 5 4 4 1 1 4 4 1 1 1 1 1 4 1 7 4
## [6409] 1 1 1 1 1 1 4 6 1 1 1 1 4 1 1 4 2 5 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 4 1 4
## [6445] 7 2 1 6 1 5 3 1 1 1 6 1 6 1 1 1 1 1 6 1 6 6 6 1 1 1 1 7 1 1 1 1 1 4 1 1
## [6481] 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 6 1 1 1 1 1 1 4 1 1 1 1 1 1 1 3
## [6517] 1 4 4 6 4 1 1 6 3 1 1 1 7 4 6 1 4 1 1 1 6 4 1 4 1 4 4 1 1 4 1 6 5 1 4 1
## [6553] 4 4 1 1 1 1 2 6 4 1 1 4 1 1 4 1 5 6 4 5 7 1 1 6 1 1 4 4 1 1 4 1 1 1 1 1
## [6589] 4 4 1 1 1 1 1 1 1 1 1 1 6 1 1 6 1 1 1 1 1 1 3 6 1 1 1 1 1 1 1 4 6 1 4 4
## [6625] 1 1 1 1 1 1 1 1 1 1 1 1 3 4 1 4 4 4 6 4 4 1 1 1 1 4 4 4 4 6 4 7 1 4 6 4
## [6661] 1 4 1 4 1 1 4 7 1 1 1 1 1 1 1 7 1 4 1 1 6 6 1 1 4 2 1 1 4 1 4 1 1 1 1 1
## [6697] 1 1 5 6 2 1 4 1 1 1 6 3 4 1 1 1 6 1 4 1 6 1 4 5 1 1 1 1 1 1 6 1 1 4 1 1
## [6733] 5 1 1 7 4 6 1 1 1 3 1 1 1 1 6 1 1 4 1 6 1 1 4 5 1 1 6 1 4 6 4 4 1 6 1 3
## [6769] 4 1 5 4 4 1 1 4 1 1 1 6 1 1 4 4 1 1 1 1 2 1 1 6 1 6 4 1 1 1 1 1 1 1 1 3
## [6805] 1 1 1 1 1 4 4 4 1 4 1 6 3 4 1 1 6 1 1 1 1 6 5 1 4 1 4 1 4 5 1 1 1 1 1 1
## [6841] 1 1 6 4 5 1 1 1 2 1 1 4 6 1 1 6 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [6877] 1 1 1 7 5 4 6 1 1 1 1 1 6 1 4 1 1 1 4 4 1 1 1 1 1 1 1 4 1 1 1 3 1 1 1 4
## [6913] 3 1 1 1 4 1 1 1 1 1 1 6 1 5 1 1 6 1 1 4 1 1 3 4 1 1 4 1 6 1 1 1 2 1 1 6
## [6949] 1 2 4 4 1 4 1 4 1 7 1 4 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 6 4 1 1 1 3 1
## [6985] 4 1 4 6 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 7 1 1 1 1 4 1 1 1 4
## [7021] 1 1 1 4 1 1 4 3 7 4 1 1 1 1 1 1 1 7 1 1 6 1 1 1 4 1 1 1 1 1 1 1 6 1 1 4
## [7057] 1 1 1 1 1 1 1 4 2 1 1 2 1 1 4 1 1 1 2 7 4 7 1 1 1 1 1 1 4 1 1 1 1 1 3 4
## [7093] 1 1 1 6 1 1 4 1 1 1 1 1 1 1 1 4 1 4 6 1 6 1 1 5 1 4 1 4 4 7 2 1 1 4 1 4
## [7129] 6 1 4 1 4 1 5 1 1 1 1 1 1 1 1 6 1 3 1 1 1 1 1 1 1 1 1 1 4 3 1 7 7 4 1 1
## [7165] 1 1 1 5 1 1 1 1 4 1 1 5 1 1 1 1 1 1 4 1 4 4 6 1 1 3 4 1 1 1 1 1 1 1 4 4
## [7201] 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 4 1 1 1 1 1 1 1 1 4 1 6 1 1 1 1 3 1 1 1 1
## [7237] 1 1 1 1 1 1 1 3 6 1 1 1 1 1 1 2 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [7273] 1 4 4 1 4 7 6 5 1 1 6 1 3 6 4 1 4 1 3 1 1 3 1 1 4 1 1 1 1 1 1 1 1 1 1 1
## [7309] 4 1 1 6 1 1 4 7 1 2 4 1 1 2 6 4 1 1 1 1 1 6 3 1 1 1 6 1 1 1 1 1 6 1 1 1
## [7345] 3 1 6 4 1 1 5 3 1 1 3 2 6 1 6 1 1 1 6 1 1 1 4 6 4 4 3 7 1 1 1 1 1 1 1 1
## [7381] 4 1 1 2 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 6 1 1 1 2 1 1 1 1 1 1 1 4 2 1 1
## [7417] 1 1 1 1 6 4 1 1 1 1 1 2 1 6 4 6 1 1 1 1 1 1 1 7 2 1 1 4 1 3 1 1 6 1 5 1
## [7453] 1 1 5 1 6 1 4 3 1 1 3 1 1 2 6 4 1 1 6 1 1 1 1 1 1 3 1 1 1 1 2 2 1 1 3 1
## [7489] 3 1 1 1 5 1 4 1 4 1 1 4 1 1 1 1 1 3 1 1 1 1 1 1 1 1 6 1 4 1 5 1 1 7 1 1
## [7525] 1 1 1 1 5 1 5 4 1 6 1 1 4 6 1 1 6 1 1 1 1 1 1 1 4 4 6 1 4 1 6 1 6 1 1 1
## [7561] 1 1 1 1 1 4 1 1 1 1 6 1 2 6 1 6 6 1 1 1 4 1 1 3 1 1 1 1 1 4 1 1 1 1 1 4
## [7597] 1 1 3 1 1 1 1 1 1 4 1 1 3 1 1 1 1 7 1 1 2 1 1 1 1 1 1 1 1 4 4 4 1 1 1 1
## [7633] 5 1 1 1 1 1 3 1 3 1 5 1 1 1 6 1 1 1 1 4 1 1 6 6 1 1 4 1 1 1 1 1 4 1 1 4
## [7669] 2 1 6 2 1 4 1 4 1 1 1 1 1 1 1 4 1 1 1 4 1 6 1 1 1 1 6 3 1 1 4 1 1 1 1 1
## [7705] 1 1 3 4 1 1 4 1 4 1 6 1 4 1 1 1 1 6 1 1 1 1 6 3 1 1 1 4 6 1 1 4 6 4 1 1
## [7741] 1 6 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 6 6 4 4 4 1 1 1 1 4 1 4 1 3 3 4 1 1
## [7777] 1 1 6 1 1 6 7 1 2 1 1 1 1 4 1 1 1 1 1 1 6 1 4 1 1 4 1 6 1 1 1 1 1 1 1 1
## [7813] 1 6 1 3 3 1 4 1 2 1 1 1 1 1 4 1 2 4 1 1 1 1 1 1 1 6 4 1 4 1 6 1 1 1 1 1
## [7849] 1 4 1 5 7 1 1 1 1 1 1 1 1 7 6 4 1 1 1 1 1 4 5 5 5 5 1 4 1 1 1 4 1 1 6 1
## [7885] 1 6 1 1 5 6 3 1 4 4 1 1 1 1 1 1 6 6 6 1 1 1 1 1 6 1 4 4 4 1 1 1 3 4 1 1
## [7921] 4 6 5 1 6 3 1 1 1 1 1 1 4 1 4 1 4 7 1 1 1 1 5 1 4 1 1 1 1 1 1 1 1 4 4 1
## [7957] 4 1 1 6 1 1 1 1 1 1 4 1 1 1 1 1 4 1 1 1 1 1 4 1 6 4 1 4 1 4 1 1 4 6 1 1
## [7993] 4 5 1 1 1 1 1 3 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 4 1 1 4 6 1 1 1 5 7
## [8029] 3 1 1 4 1 1 1 1 6 1 1 1 1 1 1 6 1 5 1 1 1 1 1 7 1 1 1 1 2 1 1 1 3 1 1 1
## [8065] 1 1 6 1 1 1 1 2 1 1 4 1 1 1 2 1 1 1 4 1 1 1 1 1 2 1 1 1 6 4 1 4 4 1 1 2
## [8101] 1 1 1 4 1 1 1 1 1 1 1 1 5 1 1 1 4 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 4 4 1 4
## [8137] 1 4 1 1 1 1 1 3 1 4 6 1 1 4 1 1 1 1 1 4 1 1 1 1 1 7 1 1 1 1 6 1 1 1 4 1
## [8173] 6 1 6 1 4 1 1 1 1 1 4 1 1 2 1 2 1 4 1 4 1 1 1 1 4 2 6 1 1 5 4 1 6 4 1 1
## [8209] 1 1 1 1 1 4 4 1 1 1 1 3 1 1 7 1 1 1 1 2 4 7 1 1 1 1 1 6 1 1 1 1 7 1 1 4
## [8245] 1 1 6 1 1 1 1 1 1 1 1 1 3 1 1 1 1 5 6 1 1 7 1 6 1 6 1 1 4 6 1 1 1 4 3 1
## [8281] 1 1 1 1 1 1 1 1 1 6 1 4 1 1 1 5 1 3 6 4 4 1 1 1 4 6 4 1 1 1 1 1 1 1 1 1
## [8317] 4 1 1 4 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 1 1 1 6 4 1 1 1 1 2 1 4 1 1 1 1
## [8353] 1 1 5 1 1 1 4 1 4 1 1 1 1 3 6 1 1 1 4 1 1 4 1 1 1 6 1 1 1 1 1 2 1 1 1 1
## [8389] 6 4 4 6 1 5 1 1 1 6 6 1 4 1 1 2 1 1 1 1 1 6 1 5 1 4 1 1 1 1 1 1 1 2 1 1
## [8425] 7 1 1 1 7 6 1 1 1 1 1 1 4 6 6 1 1 1 1 1 4 5 4 6 2 1 1 4 1 1 1 1 1 1 1 1
## [8461] 7 4 1 1 1 1 1 4 1 1 4 6 1 1 4 3 1 1 1 1 1 4 1 1 6 7 1 1 3 4 1 4 1 1 1 1
## [8497] 4 1 1 1 1 1 1 1 1 6 1 1 1 1 1 2 1 1 1 4 6 1 1 1 2 1 1 1 1 1 1 7 1 6 1 1
## [8533] 1 1 1 1 1 1 1 3 1 4 1 1 1 1 1 2 4 1 6 4 1 4 4 1 1 1 1 4 1 6 6 1 4 1 6 1
## [8569] 1 6 6 1 2 1 6 6 6 3 4 1 1 1 1 6 4 4 1 1 2 1 1 4 1 1 4 1 1 1 1 1 1 1 1 1
## [8605] 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 4 4 1 1 1 3 1 4 5 1 1 1 1 1 1 1 1 1 1
## [8641] 1 2 1 4 1 1 1 3 4 1 1 6 1 4 1 1 1 6 1 1 1 1 1 1 1 1 3 4 1 7 4 1 1 6 1 1
## [8677] 1 7 4 4 4 1 1 1 6 1 1 6 1 1 6 1 3 1 4 1 1 1 1 6 1 1 5 1 1 5 1 1 1 1 1 1
## [8713] 6 1 2 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 4 1 1 1 1 4 6 1 1 1 1 4 1 1 1 1 1 4
## [8749] 4 1 1 1 5 6 3 1 1 1 1 4 1 1 1 4 4 1 4 6 2 1 4 1 6 1 1 4 1 1 1 6 1 5 6 1
## [8785] 1 4 6 1 1 1 6 6 4 1 4 1 4 1 1 1 1 1 1 1 4 3 6 1 1 1 4 1 1 4 6 4 1 6 1 1
## [8821] 1 1 1 1 1 1 1 1 4 1 1 1 4 1 1 1 6 4 1 1 1 1 4 1 1 1 4 6 4 6 4 4 4 1 1 4
## [8857] 1 1 1 1 4 1 1 1 4 1 1 1 4 1 6 1 1 1 6 6 1 1 1 1 1 1 4 4 1 7 1 3 1 1 4 1
## [8893] 1 1 1 1 6 4 7 1 1 1 1 6 4 1 4 1 1 4 1 1 1 1 6 1 7 3 4 6 1 1 1 3 1 7 4 6
## [8929] 1 1 1 1 1 3 1 1 4 6 1 1 1 4 1 1 1 1 1 4 1 1 3 4 1 1 6 1 1 1 1 4 4 4 1 3
## [8965] 1 4 1 6 1 2 1 6 4 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 4 1 1 1
## [9001] 6 7 1 1 1 1 1 1 1 1 1 1 1 1 3 5 4 1 4 1 4 4 1 4 1 1 1 6 1 1 6 1 1 4 1 1
## [9037] 1 1 1 4 1 1 1 1 1 3 1 4 1 4 7 3 1 1 6 4 1 1 2 1 6 1 1 4 1 1 4 1 4 4 1 1
## [9073] 1 1 6 1 6 1 2 1 1 1 6 1 4 1 4 7 1 6 4 1 1 1 1 1 1 6 1 4 1 1 1 1 1 1 4 1
## [9109] 6 1 1 1 4 1 1 1 1 1 1 1 1 6 6 4 1 1 1 1 1 7 1 1 1 1 1 1 1 4 4 1 1 3 1 4
## [9145] 1 6 1 4 7 6 5 2 1 4 3 6 1 4 1 1 1 1 1 1 4 6 1 1 1 1 1 1 1 1 1 1 1 1 2 4
## [9181] 3 1 4 3 1 1 1 1 1 1 1 1 1 6 4 1 1 6 6 4 6 1 4 1 1 1 1 1 7 3 1 6 1 2 1 1
## [9217] 5 1 4 1 1 5 1 1 6 1 1 5 1 6 3 4 1 3 1 1 1 4 1 1 4 4 5 2 2 3 2 1 1 1 4 1
## [9253] 1 1 1 1 1 1 1 1 1 1 4 1 1 6 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1
## [9289] 1 6 1 1 1 7 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 4 6 1 7 1 1 1 1 1 1 1 1 1 6
## [9325] 7 4 1 3 1 6 1 1 1 1 1 6 4 6 4 1 1 1 5 1 1 1 1 1 4 6 4 1 1 1 6 1 1 4 1 6
## [9361] 1 1 6 1 1 4 1 6 1 6 4 1 3 1 1 5 1 4 1 1 1 1 4 1 1 4 3 1 5 1 4 1 4 1 1 1
## [9397] 1 1 1 4 1 3 1 1 2 1 1 5 1 7 1 1 1 1 1 4 1 1 1 6 1 7 4 1 1 1 3 1 1 2 1 1
## [9433] 1 1 1 1 1 1 3 1 1 6 1 1 1 6 1 1 1 1 1 1 1 5 1 1 1 1 1 6 1 1 1 1 1 1 3 1
## [9469] 4 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 4 1 1 6 1 4 1 4 1 1 1 3 4 1 1 4 1 1 1 1
## [9505] 1 1 1 1 1 1 3 3 1 1 4 4 4 1 1 1 1 1 6 4 1 1 1 1 1 1 1 4 1 1 1 4 1 6 1 4
## [9541] 4 1 1 1 1 1 1 1 4 1 1 4 1 1 6 1 1 1 6 6 1 1 1 1 1 1 3 6 1 1 1 6 1 1 3 6
## [9577] 1 4 1 1 4 1 1 1 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 6 1 1 2 1 1 7 1 2 1 1
## [9613] 1 1 1 1 1 1 1 4 1 1 4 4 4 4 1 6 4 1 4 1 1 1 1 1 4 1 1 6 4 1 4 1 3 1 1 2
## [9649] 1 1 6 1 1 6 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 6 1 1 1 1 3 1 1 1
## [9685] 1 1 1 1 1 1 1 1 1 1 6 2 5 1 1 1 1 1 2 6 4 4 1 1 5 2 1 5 1 1 1 4 1 1 1 4
## [9721] 4 1 1 4 4 1 4 1 1 3 1 2 4 1 5 1 1 3 1 1 2 1 1 4 4 1 4 4 5 1 1 1 1 3 6 1
## [9757] 1 4 3 1 2 1 4 1 4 1 1 4 1 1 4 1 4 1 4 1 4 1 1 1 1 1 6 7 4 3 1 3 6 1 6 1
## [9793] 6 5 2 1 4 1 1 6 1 1 1 5 1 1 1 1 4 1 1 4 4 1 1 1 6 3 1 4 1 1 1 1 1 1 1 1
## [9829] 4 4 1 1 6 1 1 1 4 1 1 1 4 1 4 1 1 4 1 1 1 1 4 4 6 1 1 1 2 4 6 1 1 1 1 1
## [9865] 1 3 2 1 1 4 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 4 4 1 1 1
## [9901] 5 1 1 1 1 4 5 1 3 1 6 1 1 1 1 1 1 1 1 6 1 1 2 1 1 1 3 1 7 1 1 1 1 6 1 1
## [9937] 6 6 1 1 1 6 4 1 4 1 4 1 6 1 5 3 1 4 1 1 1 1 4 1 1 1 1 1 1 6 1 2 7 1 1 6
## [9973] 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 4 4 1 4 1 1 1 6 1 1 1 1
## [10009] 3 4 1 1 1 6 1 1 1 1 4 6 1 4 4 1 4 1 6 3 1 3 1 4 1 2 1 3 1 1 1 1 1 1 1 1
## [10045] 1 4 4 3 6 5 1 1 1 1 1 6 4 6 1 1 1 1 1 1 1 1 1 1 5 1 1 1 7 1 4 1 4 1 5 1
## [10081] 1 1 4 1 1 4 3 1 6 6 1 1 2 2 1 1 1 4 1 4 6 1 1 1 1 1 6 1 1 1 1 6 1 3 4 6
## [10117] 1 1 1 1 1 4 3 1 4 1 1 7 4 1 5 1 1 1 1 1 4 1 1 1 1 4 1 1 4 1 4 4 1 4 1 1
## [10153] 1 1 1 1 1 1 1 1 1 2 1 4 4 1 4 4 1 1 1 1 1 4 1 2 6 1 1 1 1 1 1 4 1 1 1 1
## [10189] 1 1 1 1 4 1 7 2 1 1 1 1 4 1 3 4 1 1 1 4 5 1 1 1 1 4 1 4 4 4 1 5 4 4 4 4
## [10225] 1 1 4 1 1 1 4 1 2 1 1 4 1 1 1 6 4 1 1 4 6 1 1 1 1 1 4 1 7 1 3 1 6 4 4 1
## [10261] 7 1 1 1 1 1 1 1 1 1 1 4 4 1 3 6 2 4 4 1 7 1 1 1 1 1 1 1 1 6 4 4 3 4 4 4
## [10297] 1 6 1 1 4 1 4 1 1 4 3 4 1 1 1 4 1 1 1 4 6 1 2 4 1 1 1 1 7 1 1 3 1 1 1 4
## [10333] 1 1 1 1 1 5 1 1 1 5 1 1 1 1 1 1 1 1 4 1 5 1 6 1 1 1 1 1 1 1 1 5 4 1 1 1
## [10369] 1 7 1 6 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 4 1 1 1 6 4 4 1 1 1 2 6 1
## [10405] 1 5 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 7 1 1 6 1 1 6 2 1 4 1 1
## [10441] 1 1 4 6 4 1 4 1 1 1 1 1 1 7 6 6 6 1 1 6 1 4 6 1 6 5 6 1 1 1 1 1 1 1 1 5
## [10477] 1 1 1 1 1 1 3 1 6 1 1 1 1 6 6 1 1 4 1 1 6 1 7 1 1 4 4 1 3 4 4 4 1 1 3 4
## [10513] 1 3 1 5 6 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 6 5 5 1 1 4 1 1 1 1 1 1 1 1 4 1
## [10549] 1 2 1 1 1 3 1 1 1 1 7 1 3 1 1 4 1 1 1 1 1 1 7 1 1 4 1 1 1 6 4 1 1 1 1 1
## [10585] 4 1 1 1 4 3 1 4 4 1 4 4 1 1 1 1 1 1 4 1 1 4 1 6 1 6 1 2 1 1 1 1 4 1 1 1
## [10621] 1 1 1 1 1 4 1 1 4 1 1 6 1 1 1 4 4 1 1 1 1 6 1 5 2 6 1 5 1 1 1 1 1 1 1 4
## [10657] 1 1 1 4 6 6 4 6 1 1 3 1 1 6 1 4 1 1 1 1 1 1 2 1 1 4 4 2 4 1 4 1 6 1 1 1
## [10693] 1 1 5 1 1 7 3 4 5 1 1 1 1 1 6 1 5 5 1 1 1 4 2 4 6 1 1 1 1 1 1 1 1 4 4 1
## [10729] 6 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 5 4 4 1 1 1 4 4 1 1 1 1 1 3 1 4 4
## [10765] 1 5 1 1 4 1 1 6 1 1 7 1 1 1 1 3 3 6 1 1 6 1 1 4 1 1 1 1 1 1 1 4 1 1 1 4
## [10801] 1 4 4 1 6 1 1 4 1 1 1 1 1 1 1 1 1 3 2 1 1 4 1 1 1 1 1 1 7 1 1 1 1 1 1 1
## [10837] 1 1 6 3 1 1 1 1 1 1 1 1 1 1 1 4 1 1 6 6 5 1 1 6 7 4 1 4 1 1 1 1 6 6 4 1
## [10873] 6 1 1 1 2 1 1 2 4 1 4 3 1 1 1 1 1 1 1 6 6 1 1 1 1 1 4 1 1 1 2 6 1 1 1 1
## [10909] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 6 1 1 1 1 1 1 1 1 1 2 1 1 1 6 2
## [10945] 1 1 4 1 1 1 3 1 2 1 4 1 7 1 4 1 1 4 4 1 1 2 1 1 1 1 1 1 4 1 1 6 1 1 1 1
## [10981] 1 1 1 1 1 1 4 1 1 6 1 1 1 4 1 6 1 1 5 1 1 1 3 1 4 6 1 1 1 1 5 4 6 1 1 1
## [11017] 1 5 1 7 2 1 1 1 1 1 6 4 4 1 1 1 4 1 6 1 1 1 4 1 1 2 1 4 1 2 4 3 1 1 6 1
## [11053] 1 1 6 1 1 2 1 6 4 1 1 5 1 1 1 2 1 1 1 1 1 1 1 1 4 1 1 4 1 1 5 1 3 1 7 1
## [11089] 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 2 5 1 1 1 4 1 1 1 1
## [11125] 1 3 1 1 1 1 4 1 1 4 2 1 3 4 4 5 1 1 4 1 1 1 1 4 1 1 1 3 6 1 1 1 6 1 1 5
## [11161] 1 1 1 1 1 1 1 1 1 1 1 1 6 4 4 1 1 1 4 1 1 1 1 1 1 7 1 1 1 1 1 1 4 1 1 4
## [11197] 1 1 1 4 2 1 1 1 1 1 5 1 1 1 5 2 1 1 1 1 1 1 6 6 7 1 1 1 4 1 4 1 4 1 1 1
## [11233] 1 1 1 1 6 1 6 6 6 4 6 5 6 1 1 1 1 1 1 1 1 4 7 3 1 1 1 4 1 1 1 6 1 1 4 4
## [11269] 1 6 1 1 1 2 1 6 6 1 1 1 1 4 1 1 2 1 4 3 1 1 1 1 1 2 4 1 1 1 1 4 1 1 1 6
## [11305] 1 1 2 1 1 1 1 6 1 1 1 4 3 1 1 4 1 1 6 1 1 1 1 4 2 4 1 1 1 1 4 6 1 1 1 1
## [11341] 4 1 1 1 3 1 1 1 6 1 1 5 2 1 6 2 1 3 1 4 6 6 5 4 4 1 5 1 1 1 6 1 1 1 1 1
## [11377] 6 1 1 1 1 1 1 1 1 1 1 6 4 1 7 6 1 1 1 1 4 1 6 4 6 1 1 4 1 1 4 1 4 1 1 1
## [11413] 1 4 4 1 3 1 1 1 1 1 4 1 1 4 6 1 3 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 2 3 1 1
## [11449] 1 1 1 1 1 1 1 5 1 6 1 1 4 5 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 4 1
## [11485] 1 1 1 1 4 1 1 1 1 6 1 1 1 4 4 1 4 6 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 2 6
## [11521] 4 1 1 1 5 2 1 1 1 1 1 1 4 1 3 1 1 4 3 1 1 4 1 4 6 1 1 6 1 1 1 1 1 6 3 1
## [11557] 4 4 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 3 1 4 4 1 4 4 4 1 3 1 4 5 4 2 1 1 4
## [11593] 1 4 1 1 5 4 4 1 1 1 1 1 1 1 1 1 1 1 5 1 4 6 1 4 5 5 4 1 1 6 4 5 1 1 1 6
## [11629] 1 7 1 4 1 4 4 4 1 6 4 1 1 3 5 6 4 2 4 1 1 1 1 4 1 1 1 1 1 1 3 1 6 1 1 1
## [11665] 5 1 1 1 1 1 1 1 1 1 1 4 1 5 5 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 4 5 1 5 1
## [11701] 1 4 1 1 4 7 1 4 1 1 1 1 1 5 1 4 1 1 4 1 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [11737] 6 4 4 1 1 4 4 1 4 4 4 1 6 1 1 1 1 7 4 4 1 1 1 4 4 1 1 4 4 5 1 1 1 1 1 1
## [11773] 1 1 1 4 4 1 1 4 5 4 4 1 1 1 1 6 1 1 7 1 1 1 1 1 1 1 1 1 1 1 4 4 4 5 5 1
## [11809] 3 1 1 1 1 4 1 4 1 1 1 1 1 1 5 6 1 1 1 1 1 4 1 1 6 4 1 4 4 3 1 1 1 1 1 1
## [11845] 1 4 1 6 1 1 3 1 1 1 1 1 6 1 1 5 1 1 1 1 4 1 4 1 6 1 1 4 1 1 1 1 1 1 1 1
## [11881] 1 1 1 5 1 6 1 1 1 3 1 1 1 1 6 1 1 1 1 4 1 1 1 6 1 1 1 1 1 4 1 1 1 1 6 4
## [11917] 1 1 1 1 1 6 6 1 3 4 1 4 6 6 1 1 5 1 6 4 1 1 1 4 1 1 3 1 1 1 1 1 2 1 1 1
## [11953] 1 1 1 1 6 3 1 1 1 2 1 4 1 5 1 1 1 1 1 1 1 3 1 1 1 3 6 1 5 5 5 1 1 1 1 1
## [11989] 1 1 1 1 1 1 1 4 1 4 1 5 4 1 2 1 6 1 1 6 4 1 6 6 6 3 4 1 6 1 1 5 1 3 1 3
## [12025] 1 1 1 1 3 1 1 1 1 1 4 7 4 5 1 4 1 1 1 1 1 4 1 4 5 7 4 6 1 4 1 1 3 6 1 6
## [12061] 1 4 1 3 1 1 3 1 1 4 4 4 1 1 1 1 4 4 4 1 4 4 1 1 1 1 1 3 2 1 1 4 6 6 1 1
## [12097] 6 1 4 3 1 1 1 5 1 6 1 1 1 4 1 2 1 1 4 1 1 2 1 1 1 1 1 1 7 4 6 1 2 1 1 2
## [12133] 1 5 1 1 4 1 6 6 1 6 4 3 6 4 1 4 1 1 1 1 6 1 1 1 4 1 4 1 1 6 1 1 4 1 1 1
## [12169] 4 4 1 1 1 4 1 4 4 4 1 1 4 1 1 1 1 3 4 4 1 1 6 4 1 2 1 1 3 1 5 1 1 3 1 1
## [12205] 1 1 4 1 1 1 1 1 4 1 1 1 1 1 1 1 1 6 1 1 1 4 1 1 5 5 1 1 1 6 6 1 1 1 1 1
## [12241] 1 1 1 6 1 1 4 6 1 1 1 6 6 3 1 1 1 1 4 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 7 1
## [12277] 4 1 1 6 1 1 1 1 1 1 6 4 3 1 1 1 6 6 1 4 1 1 6 1 3 1 3 1 1 4 1 1 1 1 6 1
## [12313] 4 2 2 2 2 2 1 5 1 1 1 7 1 4 6 1 4 6 6 6 6 4 1 1 1 6 1 1 2 1 1 1 1 1 1 1
## [12349] 1 1 6 1 4 1 1 6 1 6 3 3 1 4 1 1 1 5 4 1 1 1 1 1 4 4 1 5 1 6 1 1 5 1 1 1
## [12385] 1 7 1 1 1 7 1 6 3 2 3 1 4 1 4 1 4 5 1 3 1 1 7 1 1 1 4 1 1 1 1 1 4 4 4 3
## [12421] 1 1 1 1 1 5 6 1 1 1 1 1 1 1 1 1 4 1 1 3 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4
## [12457] 6 1 3 1 2 2 1 1 1 3 1 1 1 6 1 6 1 6 1 1 1 1 3 6 1 1 4 1 3 1 1 1 1 1 1 4
## [12493] 4 1 1 4 1 1 4 1 1 1 3 1 4 6 1 1 1 6 1 1 6 4 6 1 4 1 1 1 1 1 6 1 1 1 1 1
## [12529] 4 1 1 1 4 4 6 1 1 4 1 6 1 6 1 1 3 3 4 5 1 1 1 1 4 7 1 6 5 5 1 3 1 1 1 1
## [12565] 1 1 3 2 4 1 5 1 6 6 1 1 3 6 1 1 6 1 1 1 1 1 1 6 1 1 1 6 6 1 1 4 1 1 1 1
## [12601] 1 1 4 6 1 1 1 1 1 4 1 1 1 4 1 4 1 7 6 1 1 4 1 1 1 1 4 4 5 3 6 1 4 1 1 6
## [12637] 1 1 5 1 7 5 1 1 1 4 4 5 4 4 5 1 6 1 1 1 1 1 1 1 4 4 1 3 6 1 6 4 1 1 1 1
## [12673] 7 3 4 3 1 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 3 4 1 1 1 1 1 1 1 4 1 1 1 6 1 1
## [12709] 1 1 1 1 1 1 1 1 4 5 1 1 1 1 1 4 1 6 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 6 1 5
## [12745] 6 2 1 1 1 4 1 1 4 3 1 1 4 1 4 4 4 1 1 1 7 5 6 4 1 4 1 4 4 4 4 1 1 5 7 1
## [12781] 1 4 1 1 1 1 1 6 1 1 1 1 1 1 1 1 4 1 1 5 1 1 1 1 1 1 1 1 7 6 1 1 1 3 4 6
## [12817] 6 1 1 4 1 4 6 1 1 1 1 6 1 1 4 4 1 1 1 1 6 1 4 4 4 4 1 6 1 6 1 1 1 1 1 6
## [12853] 6 1 6 1 6 6 1 1 4 1 1 7 1 1 3 2 4 1 4 1 1 3 1 3 1 1 4 1 1 1 4 6 1 6 4 1
## [12889] 1 1 1 1 1 6 1 7 1 1 1 4 1 1 1 6 5 1 1 1 1 1 4 1 6 4 1 3 4 5 1 1 7 1 4 1
## [12925] 4 1 1 1 4 1 1 1 1 1 1 1 1 1 1 6 1 1 1 4 1 2 7 4 1 6 1 1 1 1 5 1 1 3 1 1
## [12961] 2 1 1 1 3 1 1 1 1 1 1 4 4 1 1 1 1 1 6 6 1 1 1 3 1 6 1 6 6 1 1 1 4 1 1 4
## [12997] 4 4 6 1 1 6 1 6 4 6 1 4 6 6 1 1 6 1 1 1 6 1 1 1 4 2 1 1 6 1 1 4 1 7 4 4
## [13033] 1 1 1 1 4 1 4 3 5 3 1 1 1 4 1 6 1 4 1 1 2 6 1 1 1 2 1 4 1 1 1 1 3 1 1 1
## [13069] 1 1 2 1 1 1 1 6 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 4 1 3 1 3 3 4 1
## [13105] 1 1 1 5 6 3 4 1 4 1 4 4 4 4 1 1 4 1 1 3 4 1 1 1 4 4 1 1 1 4 3 4 1 1 1 2
## [13141] 4 5 6 1 1 1 6 1 4 1 1 1 4 6 6 1 1 1 1 1 1 1 4 6 5 1 5 1 3 4 1 1 1 4 1 4
## [13177] 1 1 1 4 1 6 1 1 1 6 1 4 1 1 1 1 1 6 1 1 1 6 4 1 1 1 1 5 1 1 1 1 1 1 1 1
## [13213] 1 1 1 1 1 4 6 3 1 4 4 1 1 1 6 1 1 1 6 1 1 1 1 1 4 5 1 1 3 4 5 2 1 6 1 1
## [13249] 1 7 1 1 1 1 1 1 1 1 4 1 4 1 3 6 1 1 1 3 1 1 1 1 1 3 1 1 1 6 6 1 1 1 6 4
## [13285] 6 1 1 1 4 1 1 1 4 1 1 1 1 1 1 1 3 7 5 5 1 1 1 2 1 1 6 3 1 2 1 1 4 6 1 1
## [13321] 7 6 3 1 1 2 1 1 1 1 1 1 1 1 1 6 1 1 1 6 1 4 1 1 1 1 2 1 4 6 1 1 1 1 6 1
## [13357] 1 1 1 1 5 2 6 1 1 1 1 1 3 1 1 3 1 1 1 4 4 1 6 1 1 4 2 6 1 4 3 1 1 1 6 1
## [13393] 1 1 4 1 6 6 6 7 1 1 6 3 6 1 1 1 1 3 1 1 3 3 6 4 3 1 1 1 1 2 1 1 4 1 1 1
## [13429] 1 7 1 4 5 1 1 1 6 1 1 1 1 4 1 1 1 4 5 1 1 1 1 6 3 4 1 5 2 1 6 6 1 1 6 1
## [13465] 1 4 1 1 1 1 2 3 1 1 4 4 1 1 1 6 6 4 1 1 1 1 1 5 1 1 1 1 1 1 1 4 3 1 3 1
## [13501] 4 1 1 1 1 4 1 1 1 1 6 1 7 4 4 1 4 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 4 2 1 1
## [13537] 1 1 1 4 1 2 1 1 1 1 1 6 3 1 1 7 1 1 1 1 4 1 1 7 3 6 5 1 1 2 1 1 2 1 4 1
## [13573] 1 5 1 1 1 4 6 6 1 6 6 1 6 1 4 4 4 1 1 1 1 4 4 4 1 1 4 6 6 1 1 1 1 1 3 1
## [13609] 1 6 1 1 1 1 6 1 4 1 1 1 1 4 1 1 1 1 1 5 4 1 1 1 4 1 6 4 4 1 1 1 1 1 1 6
## [13645] 1 5 1 1 6 1 4 4 1 1 1 1 6 1 4 1 4 1 1 1 1 1 2 4 1 6 1 3 1 1 4 1 1 4 1 1
## [13681] 1 1 5 1 1 1 3 1 6 3 4 1 5 1 4 1 1 1 4 1 1 1 1 1 1 5 1 1 1 1 2 4 1 1 6 1
## [13717] 4 1 1 4 1 1 1 1 1 1 7 4 1 4 1 1 4 1 1 1 1 1 1 1 7 1 1 1 1 5 6 4 1 1 1 1
## [13753] 1 1 1 6 6 1 6 1 6 5 1 6 6 6 1 1 3 1 1 6 4 1 1 1 2 4 1 2 1 1 1 3 1 4 1 1
## [13789] 1 4 4 1 1 1 1 1 1 1 1 4 1 1 3 1 4 3 4 1 5 1 1 5 1 1 1 1 1 1 4 1 1 1 1 1
## [13825] 1 1 1 1 1 6 1 1 4 3 1 1 1 1 1 4 1 1 1 6 1 4 1 1 1 1 1 1 1 1 6 1 1 4 1 4
## [13861] 1 1 1 1 1 5 5 4 1 1 1 1 1 3 1 3 4 6 1 1 4 1 1 4 1 4 1 1 6 1 4 4 7 1 1 6
## [13897] 6 1 6 1 1 7 1 3 1 5 5 5 4 1 1 1 1 1 1 4 1 2 1 1 1 4 1 2 1 1 6 6 1 1 1 1
## [13933] 1 4 1 4 1 1 4 4 1 1 6 4 1 1 4 1 4 1 1 1 1 4 1 4 4 1 4 1 1 6 1 4 1 1 6 1
## [13969] 1 5 1 1 1 1 1 1 1 1 1 1 3 1 7 6 2 1 3 1 1 4 4 1 5 1 1 1 1 1 5 1 1 4 4 1
## [14005] 4 1 6 1 1 6 1 1 1 1 1 4 6 1 1 6 1 1 1 1 1 1 1 6 4 6 7 1 1 1 1 3 1 2 2 1
## [14041] 7 1 1 1 1 4 1 4 1 1 4 1 6 1 4 1 1 6 1 1 1 5 4 2 1 4 1 1 1 1 1 1 1 1 1 1
## [14077] 1 1 1 4 1 1 6 1 1 4 4 1 1 1 1 1 4 1 4 1 5 1 1 1 1 7 6 2 1 4 5 1 4 4 1 1
## [14113] 4 1 6 1 4 5 6 4 7 1 2 1 4 1 2 1 1 1 4 1 7 1 4 1 4 6 5 1 1 1 6 1 1 4 4 1
## [14149] 6 4 1 1 1 1 1 1 6 1 1 3 1 1 1 4 1 3 6 1 1 1 1 1 1 1 1 4 1 1 6 1 4 1 6 3
## [14185] 6 1 6 7 7 1 1 4 1 1 1 1 1 1 1 6 1 1 1 1 4 3 4 1 1 1 1 1 1 1 3 1 4 1 1 1
## [14221] 1 6 4 6 1 1 1 2 6 4 1 1 1 4 4 6 4 1 5 1 1 3 1 1 1 1 1 6 1 1 6 1 1 1 1 6
## [14257] 1 4 1 4 1 6 1 1 4 4 1 1 4 4 7 1 2 4 7 1 6 2 1 1 1 1 1 4 1 1 1 6 1 1 1 3
## [14293] 1 1 1 1 2 1 4 1 4 6 1 1 7 7 1 1 1 1 1 1 1 1 6 1 4 1 1 1 1 1 1 1 1 1 4 6
## [14329] 5 1 4 1 2 1 4 4 1 4 4 1 1 4 3 4 4 1 1 1 1 1 1 1 5 1 1 1 1 6 1 1 6 1 1 1
## [14365] 1 1 1 1 4 4 1 1 1 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 6 6 6 3 1 1 1
## [14401] 1 4 1 1 1 6 1 4 1 3 4 1 1 1 3 1 1 1 1 1 1 1 7 4 1 6 1 1 1 1 1 1 3 1 1 1
## [14437] 1 1 1 6 1 1 4 6 1 1 5 1 1 6 1 1 1 4 1 1 4 2 6 1 1 1 1 1 1 3 1 4 4 1 6 1
## [14473] 1 1 2 1 1 3 1 2 4 4 6 1 1 5 1 1 1 1 6 6 4 1 1 4 1 4 1 1 1 1 2 6 1 6 1 6
## [14509] 4 1 6 1 1 1 1 1 1 1 2 1 1 1 6 1 1 1 1 1 4 1 1 1 1 1 1 1 6 1 3 4 1 1 4 1
## [14545] 1 4 4 1 1 1 1 1 6 1 1 6 1 4 1 4 1 1 1 4 5 2 4 1 3 1 1 1 1 1 5 1 1 6 4 1
## [14581] 1 1 4 1 1 7 1 3 1 1 1 3 4 6 1 2 1 4 1 3 1 1 1 1 1 1 1 5 4 1 1 1 4 1 1 1
## [14617] 3 1 1 1 1 3 6 1 6 1 1 7 1 6 4 1 1 4 4 4 1 1 1 1 1 1 6 1 1 1 1 1 6 6 6 1
## [14653] 1 1 4 1 1 4 1 6 1 1 1 4 1 1 6 2 3 4 6 3 1 1 1 1 6 1 4 1 1 1 1 6 1 1 4 1
## [14689] 1 2 1 1 4 1 1 1 5 1 1 1 4 4 5 1 1 4 1 1 1 6 4 1 6 1 1 1 1 1 1 1 1 1 1 1
## [14725] 1 4 4 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 7 6 4 1 1 1 1 1 1 4 1 1 1 1 4 1 1
## [14761] 1 1 5 1 1 1 6 7 1 6 1 1 1 1 3 6 1 1 6 1 1 1 1 1 1 4 1 1 1 4 6 1 1 1 1 4
## [14797] 4 4 1 1 1 1 1 1 4 1 1 6 3 1 1 1 1 1 1 6 1 6 5 1 3 1 1 4 1 6 4 6 1 4 1 5
## [14833] 1 1 1 5 2 4 3 1 1 3 4 1 4 4 1 1 6 1 5 1 1 1 1 1 1 1 1 1 3 1 6 1 1 4 1 5
## [14869] 1 1 1 6 1 1 1 1 4 1 1 2 1 4 1 1 1 1 5 6 4 1 4 1 4 1 1 1 4 1 4 1 6 1 1 3
## [14905] 1 4 1 1 1 1 6 1 1 1 5 6 1 1 1 4 1 1 4 1 4 1 2 1 1 1 1 1 1 1 1 1 4 1 2 1
## [14941] 4 1 1 1 1 1 1 1 5 7 4 1 4 1 7 6 1 1 1 4 1 5 1 4 1 1 1 6 1 7 1 1 3 1 6 1
## [14977] 1 1 1 1 1 1 1 1 5 1 1 1 4 4 1 6 1 1 4 1 1 1 1 7 1 1 4 4 1 1 5 4 1 4 4 1
## [15013] 4 4 1 1 1 1 4 1 1 1 1 1 6 2 4 1 6 6 2 1 1 5 1 1 1 1 1 1 1 6 1 1 1 1 4 1
## [15049] 4 2 4 3 1 4 1 1 4 1 1 4 5 1 1 1 4 6 4 6 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [15085] 1 6 1 4 6 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 1 1 7 1 1 5
## [15121] 1 2 1 6 1 1 1 6 1 4 1 4 5 1 1 1 1 4 4 1 4 1 1 6 4 4 4 6 1 1 4 6 4 1 1 1
## [15157] 1 4 4 1 1 1 3 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 2 4 1 1
## [15193] 4 1 4 1 5 1 1 6 4 1 3 1 4 1 1 1 4 1 1 1 1 4 4 4 1 1 1 1 6 1 1 1 1 6 7 4
## [15229] 4 3 1 1 1 4 2 1 4 1 1 1 1 1 1 5 1 1 6 4 1 1 1 1 1 2 1 3 7 4 4 4 2 1 1 1
## [15265] 1 6 1 1 1 1 6 1 1 4 1 4 3 1 1 7 4 1 1 4 1 1 1 1 1 5 1 6 4 1 1 4 3 1 1 1
## [15301] 1 6 4 1 1 1 1 1 3 1 4 1 1 2 1 1 4 1 1 6 1 1 3 1 4 1 1 1 5 1 1 2 1 4 1 1
## [15337] 1 1 1 6 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 6 4 1 3 6 1 1 1 1 6 2 1 7 1 1 1
## [15373] 4 1 1 1 1 4 7 4 1 1 1 4 4 1 1 1 1 4 1 6 1 1 1 1 1 1 1 3 1 1 1 1 4 4 1 1
## [15409] 4 1 1 1 4 1 1 4 1 1 4 1 1 1 1 1 6 1 4 4 1 1 1 1 1 1 1 1 1 6 1 6 2 1 4 1
## [15445] 1 6 2 1 1 4 1 4 1 4 1 1 1 1 5 4 6 3 2 3 4 1 5 5 1 6 1 1 1 2 1 4 1 6 6 4
## [15481] 3 1 1 4 6 1 4 4 1 2 6 1 1 3 1 1 1 4 1 4 1 1 4 4 6 1 4 4 1 1 1 1 4 1 1 1
## [15517] 4 1 1 1 4 5 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 5 1 4 3 4 1 1 1 1 1 5 4 1 5 1
## [15553] 4 1 4 6 1 7 1 4 1 1 1 1 6 1 1 1 1 1 1 4 1 1 6 1 1 1 1 6 3 1 1 1 1 5 3 1
## [15589] 1 1 6 1 1 1 1 1 1 4 5 1 1 4 5 1 1 1 1 1 1 3 4 1 4 6 6 1 1 1 4 1 1 7 1 1
## [15625] 1 1 1 4 1 6 1 4 1 4 1 1 6 1 1 1 1 1 3 1 1 1 1 4 1 1 1 1 1 4 1 5 1 6 1 1
## [15661] 1 4 3 1 1 1 1 5 6 1 1 1 1 6 7 1 1 1 1 1 4 4 4 4 6 3 4 1 1 4 1 5 1 1 4 1
## [15697] 5 1 6 1 5 6 4 4 1 1 3 6 5 1 1 1 1 1 4 4 1 6 1 1 5 7 4 1 6 1 1 6 1 1 1 1
## [15733] 1 1 1 1 1 6 1 1 2 1 1 1 6 1 1 4 1 1 1 1 1 4 1 1 1 4 6 6 1 1 2 1 1 2 6 3
## [15769] 6 1 4 1 2 1 1 1 6 6 4 6 1 5 1 1 1 2 1 1 1 1 4 4 1 1 6 1 1 3 1 4 1 1 1 6
## [15805] 1 1 4 4 7 1 1 1 6 5 5 4 3 3 1 1 1 1 6 2 4 1 1 4 4 4 4 1 1 1 1 1 1 1 1 1
## [15841] 1 3 4 1 6 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 4 1 1 1 1 3 1 1 1 2 1 1 4 3
## [15877] 1 4 1 1 1 1 4 1 1 3 4 4 1 4 1 1 3 1 1 3 5 1 1 1 1 1 1 3 4 6 6 1 1 4 1 1
## [15913] 4 1 1 1 1 1 2 1 4 1 1 1 1 1 3 1 3 4 1 1 6 1 4 1 1 1 1 1 1 1 1 3 2 2 1 1
## [15949] 7 4 6 1 4 1 4 3 3 4 1 7 4 1 1 1 4 3 1 3 1 1 1 1 6 3 1 1 1 1 1 4 1 6 1 1
## [15985] 5 1 1 1 6 1 6 7 1 4 1 3 1 1 1 1 6 7 1 5 4 1 1 6 1 1 6 1 1 1 6 1 4 4 1 1
## [16021] 1 1 4 4 6 2 4 1 1 4 4 1 6 1 4 7 1 4 3 1 1 1 1 7 1 1 6 7 5 1 4 1 6 6 1 1
## [16057] 2 1 1 1 1 1 1 3 1 2 1 1 1 1 1 4 2 1 1 2 4 1 1 1 6 4 1 1 1 5 3 1 5 1 1 1
## [16093] 4 6 6 1 1 6 1 1 1 1 1 1 1 1 1 2 3 1 6 1 1 4 1 1 1 2 1 3 1 1 1 2 1 1 4 1
## [16129] 1 1 4 1 1 3 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 1 4 1 1 1 1 4 1 6 1 1 1 3
## [16165] 4 1 1 1 1 1 1 1 4 4 4 5 4 1 4 4 1 6 1 1 6 1 1 4 2 1 4 4 1 6 1 6 1 6 6 4
## [16201] 1 1 1 1 4 6 4 1 1 3 4 1 1 6 3 1 7 1 1 6 1 1 1 1 1 1 6 1 1 3 3 1 1 1 1 1
## [16237] 3 4 1 1 1 1 1 1 1 6 2 1 1 6 4 1 1 1 5 1 2 1 1 1 4 1 5 1 1 1 4 1 1 1 1 6
## [16273] 1 4 4 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 2 4 6 1 1 1 1 1 1 5 1 4 6 1 6 1 6 1
## [16309] 4 4 1 1 1 7 6 4 1 1 7 6 1 1 4 6 1 1 1 1 1 1 1 1 1 1 1 1 4 1 6 1 4 1 1 3
## [16345] 1 1 1 1 1 4 6 1 1 1 1 1 4 1 1 1 4 1 1 1 2 1 1 4 1 6 1 6 1 4 6 2 5 1 7 1
## [16381] 4 1 4 1 1 1 1 1 1 1 1 4 6 1 3 1 6 3 4 4 6 4 1 6 6 1 7 1 1 1 1 7 6 6 6 6
## [16417] 6 6 6 6 6 6 4 1 4 1 1 6 1 4 1 1 1 1 1 4 1 1 4 4 6 1 4 1 4 1 1 1 1 1 1 1
## [16453] 1 1 1 4 4 1 1 1 4 1 1 1 1 1 6 1 1 1 1 6 4 1 6 6 1 6 1 6 6 1 6 1 1 1 1 4
## [16489] 6 1 1 4 1 1 6 1 1 4 4 1 1 1 1 6 1 3 1 1 1 1 4 4 1 7 1 4 5 1 2 7 5 6 1 1
## [16525] 1 4 1 1 1 1 1 1 1 1 4 1 1 1 1 3 1 6 1 1 1 4 2 1 1 4 1 4 1 1 1 4 6 4 3 1
## [16561] 3 2 1 1 1 1 6 4 4 1 4 1 4 4 6 1 1 1 1 4 1 1 1 2 2 3 1 1 1 4 1 1 4 4 5 2
## [16597] 1 1 4 6 1 1 4 1 1 1 4 1 6 1 1 4 4 1 4 6 4 6 1 1 1 3 1 1 4 5 1 4 1 1 6 1
## [16633] 1 1 4 4 1 1 4 5 1 1 1 3 4 3 6 4 1 1 2 1 1 1 1 4 1 1 4 4 6 1 1 1 6 1 1 1
## [16669] 1 1 6 4 1 6 1 1 6 1 1 1 5 1 1 4 1 4 1 1 4 1 1 2 1 1 4 4 1 1 4 2 1 1 1 6
## [16705] 1 1 1 1 1 1 1 1 4 1 5 4 1 1 1 1 1 1 1 6 1 1 1 1 1 1 4 1 1 1 6 5 1 1 1 1
## [16741] 1 6 3 1 4 6 7 1 2 1 1 1 1 1 3 1 1 4 1 1 1 4 4 3 1 4 1 1 1 6 1 1 6 4 1 6
## [16777] 6 1 4 1 1 5 4 5 5 1 1 1 6 5 4 1 3 2 6 1 1 1 1 4 4 1 1 1 6 6 1 1 1 1 1 1
## [16813] 1 6 1 6 1 6 1 1 1 1 6 7 5 2 4 1 3 1 1 1 6 1 1 1 4 6 1 1 1 1 4 1 7 4 4 1
## [16849] 1 1 1 1 2 6 1 5 1 4 1 1 4 1 1 1 1 1 1 1 6 1 1 4 1 2 1 1 4 4 1 7 4 4 1 7
## [16885] 1 6 2 1 4 4 1 1 6 4 1 1 1 6 1 1 1 6 1 1 2 3 6 3 4 1 6 1 1 1 1 1 1 3 1 1
## [16921] 1 1 2 1 1 6 1 1 1 1 1 6 3 1 1 5 1 1 1 1 6 6 3 7 1 1 1 1 1 7 6 4 1 6 1 1
## [16957] 1 1 1 1 1 4 6 1 1 4 1 1 4 1 1 5 1 4 4 1 1 1 1 4 4 1 1 1 1 5 1 1 1 1 1 6
## [16993] 4 4 1 4 1 1 4 1 4 1 6 1 4 4 6 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 7 1 1 1
## [17029] 1 4 6 7 1 1 1 1 1 4 1 4 1 4 6 1 1 1 1 6 6 1 1 6 1 1 1 1 1 1 1 1 1 1 4 1
## [17065] 1 1 4 1 1 1 2 1 6 1 1 4 1 1 5 4 1 1 6 6 1 1 4 1 4 1 1 1 3 1 1 1 1 1 4 2
## [17101] 1 4 2 6 1 1 6 1 1 1 4 1 5 7 6 1 1 6 6 1 6 1 1 2 1 1 1 1 1 1 5 1 1 1 1 1
## [17137] 1 6 4 1 1 1 5 6 2 3 1 4 1 6 6 1 6 1 1 1 1 1 6 1 1 1 1 1 1 1 1 7 2 6 3 1
## [17173] 1 6 1 1 1 1 6 1 1 1 1 1 1 4 1 1 3 4 1 4 4 1 5 1 1 4 1 1 4 5 1 4 4 1 6 4
## [17209] 1 1 4 1 6 1 1 1 1 4 4 1 3 1 1 1 1 1 1 6 1 2 6 1 5 1 1 1 6 4 1 5 4 1 1 6
## [17245] 1 1 4 1 4 1 1 1 1 6 1 1 4 4 1 4 6 1 1 4 6 7 1 1 4 1 1 1 1 6 5 1 4 1 4 1
## [17281] 1 4 1 1 4 1 1 1 6 1 5 4 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1
## [17317] 6 3 1 1 1 4 1 1 1 4 1 1 5 1 1 1 1 1 1 1 4 5 1 1 1 2 1 4 1 1 5 3 1 4 1 1
## [17353] 4 1 1 1 1 1 7 5 1 1 1 4 1 1 1 1 1 3 5 4 5 4 7 1 1 1 4 4 1 5 6 4 1 4 5 1
## [17389] 1 1 4 1 4 1 1 1 3 1 5 6 2 7 3 1 4 6 1 1 4 4 1 5 1 1 1 1 4 1 6 1 5 4 1 6
## [17425] 4 4 3 5 4 1 1 4 4 1 1 4 4 1 1 1 1 4 1 1 1 1 4 1 1 1 6 4 5 1 4 1 4 4 3 1
## [17461] 5 1 4 1 6 1 7 1 4 1 1 1 4 1 4 6 1 1 5 3 1 1 4 1 2 3 1 4 4 1 1 1 1 3 5 4
## [17497] 1 4 6 1 5 4 1 1 1 1 6 1 4 5 1 4 4 1 5 5 7 1 1 1 1 4 1 1 6 4 4 1 1 1 4 4
## [17533] 1 3 3 7 1 5 4 1 1 1 1 1 1 1 6 4 4 1 4 1 1 1 1 1 5 4 6 1 3 6 1 1 1 4 7 1
## [17569] 4 4 1 1 1 1 1 4 6 1 1 1 1 1 1 1 1 1 5 6 1 5 1 1 1 5 1 4 4 1 1 1 1 1 1 4
## [17605] 1 1 1 1 1 5 2 1 4 1 1 5 1 1 1 1 1 4 1 1 1 1 4 3 1 1 1 1 1 1 1 1 6 1 1 1
## [17641] 1 4 1 5 1 1 4 2 1 1 6 4 5 4 1 1 1 5 4 4 3 1 4 1 1 4 1 1 1 2 3 6 2 6 1 1
## [17677] 1 1 1 5 1 2 1 1 4 1 1 1 1 1 1 3 1 3 4 1 1 1 5 1 7 1 4 1 1 1 3 3 6 4 5 1
## [17713] 4 1 6 1 1 1 1 4 1 4 6 4 7 1 3 4 1 3 1 5 1 6 1 6 1 1 1 1 5 1 1 1 1 1 1 1
## [17749] 5 1 1 4 1 1 1 1 4 1 1 1 1 1 1 1 1 3 1 1 1 6 1 1 1 3 1 1 1 1 1 6 1 6 6 1
## [17785] 6 3 1 1 4 1 6 6 1 1 1 1 5 1 1 1 1 4 1 1 1 4 1 2 4 1 1 1 1 1 4 4 1 5 1 1
## [17821] 1 1 6 1 1 5 5 6 1 1 1 1 1 6 3 3 1 1 1 1 1 1 1 6 1 1 1 1 4 1 4 4 1 4 6 4
## [17857] 5 5 5 5 6 3 4 3 1 1 1 1 1 1 1 1 6 1 7 1 4 4 1 1 5 4 1 5 1 1 1 6 5 7 4 1
## [17893] 6 6 4 1 1 1 1 3 7 1 5 1 1 1 6 1 5 6 1 1 1 1 4 1 5 3 1 1 1 1 4 4 4 1 6 4
## [17929] 6 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 4 6 1 4 5 6 1 1 1 1 1 4 1 6 6 4 1 6 1
## [17965] 4 6 1 1 4 4 6 1 6 2 1 1 3 3 1 4 4 1 1 1 1 1 4 1 5 5 1 1 1 1 4 2 1 1 1 4
## [18001] 1 1 1 1 2 1 3 1 4 1 4 6 2 1 1 1 1 1 1 4 1 4 1 1 1 1 1 6 1 6 1 1 1 1 4 1
## [18037] 4 6 4 4 1 1 4 1 1 3 4 1 6 1 3 1 1 1 6 1 4 1 1 1 6 1 1 1 1 1 1 1 1 6 1 1
## [18073] 1 1 1 5 1 1 1 1 1 1 1 4 1 1 1 1 6 1 1 1 5 4 4 6 1 1 1 1 1 6 1 6 1 4 4 1
## [18109] 1 1 4 1 1 1 3 1 1 1 1 4 1 5 6 5 1 1 1 1 1 1 1 4 1 1 4 1 1 1 6 1 4 1 1 1
## [18145] 4 6 1 6 1 6 4 2 1 1 6 1 1 4 1 1 6 6 1 3 4 1 1 6 1 4 4 4 1 4 1 1 1 6 5 1
## [18181] 3 1 6 1 1 6 1 1 4 1 1 4 1 4 1 1 2 2 1 3 1 1 1 2 1 6 1 6 6 6 6 7 6 7 1 6
## [18217] 6 5 1 1 1 4 5 1 4 1 1 1 1 4 6 1 6 6 6 6 1 1 4 1 4 2 5 6 1 5 5 1 4 1 1 1
## [18253] 5 1 1 6 1 2 4 1 4 1 1 3 1 4 1 1 1 1 7 1 1 1 1 1 1 5 4 1 4 6 1 4 4 3 1 1
## [18289] 1 1 4 4 1 1 2 1 1 7 1 1 4 1 1 5 1 1 1 4 4 4 1 1 4 1 1 1 1 1 4 7 1 1 4 1
## [18325] 1 4 1 1 6 1 1 1 1 1 1 6 1 5 1 1 1 1 1 1 1 6 1 1 1 4 1 1 1 1 4 6 5 6 6 1
## [18361] 4 1 1 1 1 6 1 6 1 4 6 6 5 1 1 1 1 1 1 1 4 1 1 5 1 1 1 1 1 1 1 4 1 1 6 1
## [18397] 3 4 1 1 1 4 1 1 1 1 1 6 1 6 1 1 1 1 1 4 1 6 4 1 4 1 1 1 1 1 1 1 1 1 6 1
## [18433] 1 1 6 6 1 3 1 1 4 5 1 2 1 1 1 4 1 1 1 1 1 1 1 1 4 1 6 1 6 1 1 6 1 1 7 1
## [18469] 1 1 2 2 1 5 4 4 3 4 5 2 6 1 1 4 6 4 1 1 4 1 1 1 1 1 4 4 1 6 1 1 1 4 6 1
## [18505] 5 4 1 1 1 1 4 1 1 1 1 1 1 4 1 5 1 1 1 1 5 1 4 1 6 3 1 1 4 1 4 5 1 1 1 4
## [18541] 1 5 6 1 1 1 1 6 1 1 1 1 1 1 4 4 1 1 4 5 1 1 1 4 1 1 1 6 6 1 1 4 6 1 1 1
## [18577] 1 4 4 1 1 1 4 1 1 1 5 1 1 1 6 6 1 3 1 1 1 1 4 6 1 6 5 5 4 1 6 1 1 4 1 1
## [18613] 1 1 4 1 1 1 1 3 1 1 1 1 1 6 1 7 3 1 4 1 6 1 1 6 4 4 1 1 1 5 4 1 6 4 1 1
## [18649] 1 1 1 1 1 1 1 7 1 1 1 4 1 1 4 1 1 1 1 1 4 4 1 1 4 1 4 1 1 6 1 6 1 1 4 1
## [18685] 1 4 1 1 1 1 1 4 1 5 1 4 1 5 4 1 4 6 5 2 6 1 4 5 1 1 1 6 1 1 1 1 4 7 1 1
## [18721] 1 1 6 1 1 1 1 1 1 1 1 5 1 1 4 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1
## [18757] 4 6 4 1 1 1 1 1 1 1 1 1 6 1 4 1 4 4 6 6 7 1 4 1 1 1 1 1 6 4 6 1 1 1 6 1
## [18793] 4 4 1 1 4 4 3 2 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 4 4
## [18829] 7 4 1 1 1 1 1 1 1 6 1 1 4 1 6 1 1 1 1 1 1 6 7 4 1 1 1 7 1 1 6 1 2 1 6 1
## [18865] 4 2 1 1 1 1 2 4 1 1 1 6 1 6 6 4 1 1 6 1 1 1 1 5 1 1 1 4 3 1 6 1 1 1 1 4
## [18901] 1 1 4 1 6 1 1 4 1 1 4 1 1 1 4 2 1 4 4 1 1 1 6 1 3 1 1 1 5 1 2 1 5 4 1 6
## [18937] 6 4 1 1 1 1 6 1 6 1 1 1 6 1 7 6 4 1 1 2 6 1 1 4 1 1 1 1 1 1 1 1 4 1 4 1
## [18973] 1 6 1 1 6 1 3 1 1 6 4 1 1 1 1 1 6 1 4 1 6 4 1 1 1 4 4 1 1 4 4 4 1 6 4 1
## [19009] 1 1 1 1 4 1 1 1 1 3 1 1 3 1 1 4 4 1 1 1 6 4 1 4 1 4 1 1 1 1 6 1 1 1 1 1
## [19045] 6 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1 4 1 1 4 1 6 6 1 1 4 1 1 2
## [19081] 1 1 1 1 4 6 1 6 2 6 1 6 5 6 6 4 1 1 1 1 1 1 3 1 4 1 1 1 1 1 1 1 3 1 6 1
## [19117] 1 1 1 4 6 1 4 4 6 1 3 3 1 1 6 1 1 1 3 1 3 6 1 1 1 1 1 1 2 1 1 2 1 6 1 4
## [19153] 5 1 5 1 4 1 1 1 4 1 1 1 3 6 1 1 1 1 1 4 4 4 1 4 1 1 1 1 4 1 1 4 1 1 1 1
## [19189] 1 1 1 5 1 2 1 1 4 1 1 4 1 1 1 1 1 3 1 1 1 1 1 1 4 1 1 1 1 1 6 4 1 1 1 1
## [19225] 1 1 1 1 4 1 6 1 1 1 1 6 5 1 6 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1
## [19261] 1 3 4 7 1 1 1 6 4 6 1 1 1 3 6 1 1 1 1 1 1 1 1 1 6 1 6 1 1 6 1 1 1 4 5 6
## [19297] 1 1 1 1 1 6 6 1 1 1 4 1 1 1 4 7 1 6 4 1 1 1 5 5 1 1 1 1 1 1 1 2 1 5 1 1
## [19333] 6 6 1 1 1 1 1 4 1 6 4 3 1 1 1 4 1 1 6 2 4 1 1 6 1 1 1 1 1 4 1 1 1 4 1 1
## [19369] 1 4 1 4 1 5 1 1 4 1 3 4 1 1 3 4 6 1 6 6 1 4 6 6 1 1 1 5 1 6 6 4 3 4 1 1
## [19405] 1 1 1 5 5 1 4 5 1 1 1 1 1 4 6 6 1 6 1 1 4 1 6 1 1 1 7 4 2 1 1 4 1 1 2 1
## [19441] 1 1 1 5 1 1 6 1 4 1 3 1 4 4 2 1 4 1 1 1 4 4 3 1 1 1 1 1 7 1 1 1 2 1 6 4
## [19477] 1 4 4 1 1 1 6 1 1 1 6 1 2 1 4 6 1 1 6 1 1 1 1 6 4 6 1 1 1 6 6 3 1 1 1 1
## [19513] 4 1 1 6 4 1 1 1 4 1 1 1 1 1 5 3 1 1 6 1 1 4 1 1 1 1 1 1 6 6 1 1 1 1 1 1
## [19549] 1 5 4 1 1 1 4 1 6 1 4 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 3 1 1 4 3
## [19585] 7 4 1 1 1 6 1 1 6 6 1 1 4 1 1 5 1 1 1 1 4 1 1 5 4 1 4 1 1 1 6 1 1 1 3 1
## [19621] 1 1 4 1 1 1 1 4 1 6 1 5 4 4 6 1 1 1 1 1 1 1 1 7 1 1 6 1 1 1 4 1 1 1 1 1
## [19657] 4 1 4 1 1 1 4 1 1 1 1 4 1 4 6 4 1 1 1 1 1 5 4 1 1 1 1 1 1 1 1 1 3 6 1 1
## [19693] 5 4 5 5 5 5 4 1 1 1 1 5 5 6 4 6 1 6 1 1 1 1 1 1 1 1 1 1 4 1 1 2 1 1 6 1
## [19729] 6 1 4 4 3 4 6 1 1 1 1 1 6 6 1 4 1 1 1 1 7 4 1 6 6 1 2 1 5 1 1 4 1 4 1 1
## [19765] 4 1 4 1 1 1 5 1 1 5 1 1 1 1 1 4 1 1 1 1 1 3 4 6 5 1 4 4 6 1 6 1 4 1 1 1
## [19801] 1 4 1 1 6 6 1 1 6 4 1 1 1 1 1 1 1 1 1 1 4 1 1 2 1 4 4 4 1 4 1 1 1 1 1 1
## [19837] 1 1 1 1 1 1 4 3 1 1 1 1 1 1 1 1 6 4 1 6 4 1 1 1 4 1 5 1 1 6 4 1 1 1 1 1
## [19873] 1 6 5 1 6 1 3 1 1 4 5 1 1 1 2 4 1 1 1 1 6 1 4 1 1 3 1 1 1 1 1 4 1 6 1 5
## [19909] 4 1 1 1 1 7 1 4 4 1 2 1 1 1 1 1 1 1 4 1 1 1 6 1 4 1 1 1 1 1 2 6 1 2 1 6
## [19945] 4 1 6 6 1 3 1 1 1 4 1 1 1 6 4 6 4 5 6 4 1 1 6 1 5 6 4 1 1 7 1 6 1 1 1 5
## [19981] 1 6 6 1 1 1 1 1 1 1 6 2 1 1 1 4 4 4 4 1 1 1 1 1 2 6 6 1 6 1 1 6 1 1 1 1
## [20017] 1 1 2 1 2 6 5 1 1 2 1 1 4 1 1 7 6 6 4 4 6 1 1 5 6 1 1 1 5 1 4 1 6 4 6 4
## [20053] 4 1 2 5 4 5 1 1 3 7 1 1 1 1 1 1 5 7 1 1 2 1 1 2 4 7 1 1 1 1 6 6 1 4 1 4
## [20089] 4 1 1 1 1 1 2 1 1 6 5 1 4 1 6 6 1 7 5 1 4 1 1 1 1 1 4 1 1 7 4 1 1 1 7 1
## [20125] 4 4 4 1 1 1 5 1 1 4 1 1 1 1 1 1 1 1 6 5 1 6 1 1 1 1 1 1 1 1 1 1 1 2 6 1
## [20161] 5 1 1 1 3 1 1 1 1 1 1 1 1 6 1 6 3 1 1 1 1 1 6 1 7 1 3 1 4 1 4 1 1 5 1 1
## [20197] 1 1 1 6 1 1 4 1 5 1 4 1 5 4 1 1 4 6 4 1 1 1 6 6 1 1 1 1 4 1 6 1 1 6 1 1
## [20233] 2 1 4 3 1 4 6 5 1 1 4 1 1 4 4 6 1 4 1 6 1 1 1 1 1 1 1 4 4 1 1 6 1 1 1 2
## [20269] 1 3 1 6 1 1 4 1 1 1 4 4 1 6 1 1 1 5 4 1 1 4 4 4 1 1 1 1 1 4 4 5 1 1 4 1
## [20305] 1 1 4 6 1 1 1 6 1 4 1 5 4 1 1 1 4 4 1 1 1 4 1 1 1 1 1 1 6 1 1 4 1 3 1 4
## [20341] 4 1 1 1 4 4 1 1 1 1 1 1 1 6 1 4 1 4 1 1 4 1 4 1 1 1 1 1 6 1 4 4 7 7 1 1
## [20377] 3 1 1 6 6 1 1 1 3 1 1 5 1 1 3 4 3 6 5 1 1 3 1 6 1 1 1 6 1 1 4 1 1 1 4 6
## [20413] 4 6 1 4 6 1 1 6 1 1 1 1 1 1 4 1 4 1 4 4 1 1 1 1 1 1 1 1 1 1 1 3 4 1 1 1
## [20449] 1 1 1 6 1 1 1 1 1 1 1 3 1 1 1 4 1 1 1 5 2 1 1 2 6 4 4 5 1 4 1 3 1 4 5 4
## [20485] 4 1 4 6 1 1 1 1 1 4 1 1 4 1 4 1 1 4 1 5 1 4 1 1 1 1 1 4 1 1 1 1 4 4 3 1
## [20521] 1 1 1 6 4 1 1 1 4 1 1 1 4 1 6 1 1 4 1 6 5 1 1 1 4 1 1 1 1 1 6 1 1 1 6 4
## [20557] 3 1 1 1 1 4 1 1 3 1 4 4 1 1 1 6 1 4 1 1 4 6 1 1 1 6 1 4 1 1 1 4 5 1 4 1
## [20593] 5 4 4 1 1 3 4 1 1 7 1 1 6 1 1 1 4 4 4 3 1 5 1 1 2 4 4 1 6 1 1 6 1 1 1 1
## [20629] 1 1 1 4 7 1 1 4 4 1 4 4 1 4 1 1 1 1 1 1 1 1 5 1 4 4 4 3 1 1 4 1 3 1 2 4
## [20665] 7 4 1 1 6 1 1 1 1 1 6 1 1 1 3 1 4 1 1 1 1 1 4 4 4 1 4 1 4 1 1 1 1 1 1 1
## [20701] 1 1 1 1 1 6 6 3 1 1 1 4 1 1 5 1 1 1 4 3 4 1 1 4 5 1 6 6 1 1 4 1 4 4 1 1
## [20737] 1 1 6 1 5 3 5 4 6 1 3 1 4 1 1 1 1 1 6 6 1 4 6 1 1 1 1 1 5 1 1 1 1 1 3 1
## [20773] 1 4 1 1 1 1 6 1 1 4 4 1 1 1 1 3 6 1 1 6 7 1 4 4 1 1 1 5 6 1 1 4 1 4 1 1
## [20809] 1 1 1 1 1 1 1 1 3 1 1 1 1 4 4 3 6 3 1 1 6 1 4 1 1 6 4 1 1 1 6 1 1 3 1 1
## [20845] 4 6 1 1 1 1 3 1 1 1 1 1 1 4 1 4 4 1 1 1 1 1 4 1 4 1 1 1 4 3 6 1 1 6 1 1
## [20881] 1 1 1 3 1 1 1 6 1 1 4 1 1 4 1 1 4 2 4 1 1 1 5 1 6 4 7 4 6 5 1 4 1 4 1 4
## [20917] 1 1 1 1 1 1 4 1 1 6 1 1 4 1 1 1 6 1 1 1 1 1 1 6 1 1 1 1 4 4 1 6 1 4 1 1
## [20953] 1 6 1 6 1 3 1 1 1 1 1 6 4 4 6 1 1 6 1 1 2 1 4 1 1 4 1 1 1 4 1 1 1 1 4 1
## [20989] 1 1 4 1 1 1 1 4 5 1 6 1 1 6 1 3 4 6 1 1 1 6 4 1 1 4 1 1 1 6 1 3 1 1 1 6
## [21025] 4 4 1 3 6 1 1 1 4 5 1 1 1 1 4 1 1 4 1 1 6 1 1 1 2 1 5 1 1 1 1 1 6 4 3 4
## [21061] 1 4 3 1 4 1 6 7 1 6 3 4 4 6 1 4 6 5 1 1 4 4 4 1 1 4 6 1 1 1 6 1 5 4 4 1
## [21097] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 6 4 5 6 1 1 1 1 1 1 4 6 1 4 1 1 4
## [21133] 1 1 5 1 5 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 2 1 1 7 3 1 1 1 6 6 1 1 1 4
## [21169] 1 4 3 1 1 1 6 1 1 1 1 3 1 1 6 1 1 1 7 1 1 5 4 1 1 1 1 1 1 1 1 1 1 1 1 1
## [21205] 4 1 1 1 4 1 1 1 1 1 1 1 1 4 6 7 1 1 1 1 1 3 4 5 6 1 1 1 1 1 2 1 2 4 1 4
## [21241] 1 1 1 1 4 4 4 1 5 5 1 1 1 1 1 1 4 1 1 1 1 3 4 1 1 1 1 1 4 1 1 6 6 1 4 4
## [21277] 1 1 4 1 6 4 4 6 1 4 1 1 4 1 6 1 1 1 1 1 1 5 1 4 1 4 1 4 1 1 4 6 6 1 1 4
## [21313] 1 1 6 1 6 5 1 3 1 5 1 3 1 4 1 1 4 1 5 3 1 1 1 4 6 5 3 5 1 5 4 1 6 1 1 5
## [21349] 1 1 4 1 1 4 1 1 1 1 1 1 1 1 6 6 4 1 1 1 1 1 6 1 5 1 1 1 1 3 1 4 1 6 6 1
## [21385] 1 1 1 1 1 1 1 3 4 1 4 1 1 6 1 2 1 1 1 4 3 1 1 1 1 1 1 1 7 1 4 1 1 4 6 6
## [21421] 1 1 1 1 1 4 5 1 4 1 1 1 5 1 4 1 4 1 6 1 1 1 1 6 1 6 1 1 6 1 1 4 5 1 1 6
## [21457] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 4 1 3 1 1 1 1 1 1 4 6 1 4 1 1 1 1 1 4 4
## [21493] 1 6 3 1 4 1 7 4 3 6 3 1 4 1 6 1 6 1 4 1 4 1 1 1 1 1 1 4 1 1 1 7 1 1 1 1
## [21529] 5 6 2 1 4 1 1 1 4 5 6 1 1 1 1 1 1 4 1 1 1 6 1 4 1 1 1 1 1 1 1 6 1 5 4 1
## [21565] 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 4 4 4 4 1 4 6 1 1 1 1 1 1 2 1 1
## [21601] 4 1 1 6 1 6 1 1 1 1 1 4 1 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 4 1 1 4 1 6 1
## [21637] 1 4 1 4 4 4 6 2 1 4 1 1 1 1 1 4 1 4 1 4 4 6 1 1 1 4 1 6 4 1 1 4 1 6 1 4
## [21673] 3 1 1 1 4 3 1 4 1 1 1 1 1 1 1 1 1 6 4 1 1 5 1 1 1 1 7 1 6 1 1 6 6 1 6 6
## [21709] 6 1 1 1 1 6 1 1 1 1 6 5 1 4 3 1 1 1 1 1 6 4 1 1 1 1 1 4 4 1 1 4 1 1 1 4
## [21745] 4 1 1 1 4 1 5 7 4 4 1 5 1 5 1 4 4 1 1 1 1 1 1 1 1 4 1 6 3 1 1 6 1 1 1 7
## [21781] 1 6 1 1 7 1 4 6 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1
## [21817] 3 4 5 1 1 1 6 1 1 1 1 1 4 4 1 1 4 1 4 1 1 7 4 4 4 4 1 4 4 1 1 4 1 4 1 1
## [21853] 1 1 4 1 3 1 1 1 1 4 4 6 4 4 3 1 4 1 1 1 6 6 1 1 6 1 1 1 6 1 4 1 1 3 4 3
## [21889] 4 1 1 1 6 4 1 1 4 1 5 1 1 6 2 6 1 1 4 4 1 1 1 1 1 5 5 6 1 6 1 4 1 1 6 1
## [21925] 4 6 4 1 1 6 1 2 1 1 1 1 1 3 1 1 2 1 1 1 4 1 6 1 1 1 1 1 6 1 4 1 4 4 1 7
## [21961] 1 1 6 1 4 1 1 6 1 6 4 7 1 3 6 1 1 1 1 1 1 1 1 3 1 6 1 1 1 1 1 1 1 1 1 1
## [21997] 1 1 1 1 1 1 6 1 1 1 6 1 1 1 1 1 1 1 1 1 1 5 4 1 6 4 7 1 3 1 1 4 1 1 4 1
## [22033] 6 1 1 1 1 6 4 1 1 1 1 4 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 5 6 1 4 6 1 1 1
## [22069] 1 1 6 1 1 4 1 1 2 3 1 4 6 6 6 6 1 6 6 6 6 6 1 6 1 4 7 6 4 1 6 7 6 4 1 2
## [22105] 1 1 1 4 1 6 1 1 6 7 4 1 1 1 1 1 6 6 1 1 1 1 1 4 1 3 1 1 1 1 1 4 1 4 1 1
## [22141] 4 3 1 1 1 1 6 1 6 3 6 6 6 6 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1
## [22177] 4 1 1 2 1 1 1 4 1 4 1 1 6 4 1 4 1 1 1 1 1 4 1 1 4 4 1 1 7 1 1 1 4 1 1 6
## [22213] 1 6 6 1 1 1 4 4 1 4 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 3 1 1 1 4 1 1 1 6
## [22249] 5 5 4 1 4 4 5 5 1 3 3 1 1 1 3 1 4 1 1 1 6 1 2 1 6 1 1 2 1 1 4 3 1 1 4 1
## [22285] 1 1 6 4 1 4 1 1 6 4 1 1 1 1 6 1 1 1 4 1 4 1 3 1 1 1 1 1 1 1 1 1 1 1 4 1
## [22321] 4 1 1 4 1 5 1 4 1 1 1 4 1 1 4 1 5 1 1 1 1 1 6 4 4 1 1 7 4 4 6 4 1 1 4 1
## [22357] 1 5 6 1 1 1 1 1 4 1 1 1 1 1 1 3 1 1 1 1 6 7 4 1 1 4 1 3 3 1 1 3 4 1 6 4
## [22393] 4 1 6 1 1 4 1 6 1 1 1 6 4 1 1 4 6 1 1 1 6 1 4 1 1 1 6 4 1 5 7 1 1 1 1 2
## [22429] 1 4 2 1 1 1 4 1 1 1 1 1 1 1 1 3 1 1 4 6 1 1 1 1 1 6 3 1 1 1 6 1 4 1 1 1
## [22465] 1 1 7 1 1 1 1 1 1 1 4 1 1 1 6 1 1 1 1 4 4 1 1 3 3 4 1 1 4 1 4 4 1 1 1 4
## [22501] 1 1 1 1 1 4 1 1 1 1 6 1 1 2 1 4 1 1 1 1 1 6 6 1 1 1 6 1 7 1 5 1 1 1 1 6
## [22537] 1 4 1 1 1 1 1 6 6 1 1 1 1 2 1 1 1 7 1 6 5 1 4 5 1 4 1 1 1 1 1 6 1 4 1 1
## [22573] 4 1 4 1 1 2 1 1 1 1 1 1 1 1 1 4 6 1 1 1 1 3 1 4 1 1 4 1 1 1 6 1 4 4 1 1
## [22609] 1 1 4 1 1 4 1 2 1 1 2 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 7 1 1 1
## [22645] 4 1 1 1 1 1 4 4 1 1 6 6 1 1 1 1 1 7 6 1 6 1 1 1 4 1 1 4 1 3 4 1 2 1 1 1
## [22681] 1 1 1 1 5 6 4 1 1 1 7 6 1 1 1 1 5 1 1 1 1 4 4 1 1 1 1 1 1 6 5 1 6 1 1 6
## [22717] 1 6 6 1 4 1 1 1 1 4 1 2 6 4 1 1 1 1 1 6 1 1 2 4 1 1 1 1 1 1 6 5 1 1 1 1
## [22753] 1 1 1 3 1 1 1 1 6 1 1 4 1 6 5 1 1 1 1 4 1 3 4 6 1 6 5 1 1 1 3 4 1 1 1 1
## [22789] 4 1 4 1 1 6 1 4 1 4 1 1 1 1 6 3 6 4 4 1 6 1 1 3 3 4 1 1 4 6 6 3 6 1 1 4
## [22825] 1 6 6 4 3 4 4 1 1 4 4 4 4 1 1 4 1 6 4 5 1 1 1 4 3 4 3 5 1 1 1 4 1 1 4 1
## [22861] 4 1 4 7 6 4 4 1 4 1 1 3 1 1 1 1 4 4 1 4 1 5 6 1 6 3 1 1 5 1 1 1 4 4 4 4
## [22897] 5 1 4 1 6 1 1 4 1 6 1 5 1 1 4 1 1 4 1 4 2 1 4 3 1 4 1 1 1 6 5 1 4 7 1 1
## [22933] 4 1 4 1 1 1 4 1 4 1 1 4 3 4 4 1 4 1 1 6 6 4 1 1 1 1 1 1 1 1 4 4 2 3 4 6
## [22969] 2 3 1 1 4 1 1 2 1 1 6 1 4 1 1 4 1 6 1 1 1 4 1 1 6 6 1 4 1 4 1 1 3 4 1 1
## [23005] 1 1 4 4 1 1 1 1 4 1 5 1 4 1 4 1 1 1 1 3 4 4 4 1 1 1 1 1 5 4 1 7 4 4 5 1
## [23041] 1 1 4 1 4 1 4 1 1 1 4 4 1 1 1 1 1 4 3 3 1 4 1 6 4 1 4 1 1 1 5 6 5 6 1 1
## [23077] 5 1 7 1 4 6 6 1 1 4 1 1 4 1 6 1 4 1 4 1 6 4 4 1 4 6 4 1 4 1 4 6 4 5 1 5
## [23113] 1 1 1 4 4 1 1 1 3 1 1 4 1 1 3 4 4 7 1 1 6 4 6 5 1 1 1 1 1 4 5 6 4 1 4 1
## [23149] 1 1 4 1 4 1 1 1 5 1 1 4 1 1 1 4 4 6 4 1 5 4 4 1 6 1 1 3 1 1 4 1 1 1 1 1
## [23185] 4 1 4 1 1 5 1 1 1 4 4 4 1 1 1 4 1 4 5 1 4 1 1 4 1 4 5 6 5 1 1 1 5 3 6 4
## [23221] 1 4 1 4 3 6 6 2 1 1 1 1 4 1 5 1 1 4 1 1 1 1 6 1 5 4 1 4 1 6 1 1 1 1 1 6
## [23257] 1 1 1 1 4 4 1 1 4 4 6 2 4 1 6 6 1 4 4 1 5 1 1 1 5 4 4 1 5 4 1 4 1 1 1 3
## [23293] 4 1 4 4 1 1 1 1 1 1 1 1 5 1 1 1 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 4 6 1
## [23329] 1 4 6 4 6 1 4 7 1 1 6 1 1 1 6 1 4 4 6 1 4 1 1 6 1 1 6 1 6 4 1 1 1 1 1 1
## [23365] 4 3 5 1 5 1 6 6 7 1 4 6 1 1 4 4 1 4 3 5 6 1 4 1 1 1 5 5 1 1 1 4 6 1 5 1
## [23401] 1 1 1 1 4 3 1 4 1 1 6 2 1 1 3 1 1 1 4 1 1 1 1 7 1 1 1 4 3 1 1 1 1 1 4 1
## [23437] 1 1 3 4 1 5 3 1 4 1 1 5 1 1 1 5 4 4 1 2 1 4 1 1 6 4 7 4 4 6 4 4 4 1 1 4
## [23473] 1 4 1 1 1 1 1 1 1 4 1 4 6 1 1 1 1 1 1 1 1 1 4 1 6 1 1 1 1 4 1 1 4 1 1 1
## [23509] 1 6 1 3 1 1 1 1 1 1 6 4 6 1 1 1 1 1 4 5 1 1 1 5 5 1 1 6 1 3 3 1 1 1 1 4
## [23545] 4 1 1 1 4 1 6 4 1 5 1 5 4 1 1 1 4 4 1 1 1 1 1 1 1 1 6 1 1 1 4 6 1 1 1 5
## [23581] 1 4 1 1 1 4 3 1 1 1 6 1 5 1 1 1 1 1 1 1 1 1
##
## Within cluster sum of squares by cluster:
## [1] 168632.42 27001.40 134357.40 173851.21 42639.19 117442.84 43904.82
## (between_SS / total_SS = 16.7 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"# add clusters column to data frame for improvement
teens$cluster <- teen_clusters$cluster
# examine clusters for first 10 users
teens[1:10, c("cluster", "gender", "age", "friends")]## cluster gender age friends
## 1 1 M 18.982 7
## 2 4 F 18.801 0
## 3 1 M 18.335 69
## 4 1 F 18.875 0
## 7 5 F 18.930 72
## 8 1 M 18.322 17
## 9 1 F 19.055 52
## 10 4 F 18.708 39
## 11 1 F 18.543 8
## 12 1 F 19.463 21# check clusters by various user characteristics
aggregate(data = teens, age ~ cluster, mean)## cluster age
## 1 1 17.31518
## 2 2 17.36980
## 3 3 17.13076
## 4 4 17.15328
## 5 5 16.92567
## 6 6 17.07885
## 7 7 17.34740aggregate(data = teens, female ~ cluster, mean)## cluster female
## 1 1 0.7779132
## 2 2 0.7629063
## 3 3 0.8371795
## 4 4 0.9587973
## 5 5 0.9028571
## 6 6 0.7139352
## 7 7 0.8025974aggregate(data = teens, gradyear ~ cluster, mean)## cluster gradyear
## 1 1 2007.422
## 2 2 2007.373
## 3 3 2007.583
## 4 4 2007.578
## 5 5 2007.781
## 6 6 2007.698
## 7 7 2007.384The 7 clusters consists of female users, graduating in 2007/2008, and who are around 17 years old.