[R] strang behaviour of mice package

Weidong Gu anopheles123 at gmail.com
Tue Jul 19 21:30:54 CEST 2011


I am using mice package for multiple imputation. For one data
(attached), mice doesn't impute all missing values. Specifically, some
variables were not imputed at all.

the reproducible code

library(mice)
test.df<-read.table(c:\\test.txt',header=T,sep=',')
mi<-mice(test.df,maxit=10,m=5)
sum(is.na(complete(mi,1)))
>129

and x41, x50... were not imputed at all.

Any suggestion?

Weidong Gu
-------------- next part --------------
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NA,NA,NA,0,NA,NA,2,NA,1,NA,1,NA,NA,NA,NA,NA,0,NA,25,1,NA,NA,NA,NA,NA,NA,NA,NA,3,NA,NA,0,NA,NA,NA,NA,NA,40,0,NA,NA,NA,NA,NA,NA,1,0,NA,NA,NA,NA,NA,0,0,NA,NA,NA,9,NA,NA,4,NA,0,NA,1,NA,0,1,NA,6,NA,NA,1,NA,NA,NA,3,1,NA,1,0,26,NA,NA,1,15
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1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,22,0,0,1,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,50,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,9,1,1,24,0,1,0,0,0,0,1,0,6,1,0,1,0,0,0,1,1,1,38,0,60,0,0,0,10
1,1,0,NA,1,0,5,0,1,1,0,0,0,0,0,0,0,0,37,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,14,NA,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,9,1,1,4,0,0,0,0,0,0,1,0,6,1,0,1,0,0,1,1,1,1,NA,0,37,0,0,NA,15
0,0,0,0,0,0,5,0,1,0,1,0,0,0,NA,0,0,0,12,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,26,NA,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,9,0,0,NA,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,1,NA,0,0,14,0,0,NA,36
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NA,1,NA,NA,1,0,5,0,1,0,1,NA,0,0,0,0,0,0,15,1,0,1,NA,NA,0,0,0,1,1,0,0,0,0,0,NA,0,0,1,0,0,0,NA,0,0,0,0,0,0,NA,NA,0,NA,0,0,0,0,0,9,NA,NA,NA,NA,0,0,NA,NA,0,1,0,3,NA,0,1,0,0,0,1,1,NA,21,0,36,0,0,0,4
1,1,0,0,1,0,5,0,1,0,0,0,1,0,0,0,0,0,38,1,0,1,1,1,0,1,1,1,3,1,0,0,0,1,0,0,1,41,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,9,1,0,8,0,1,0,0,0,0,1,1,6,1,0,1,0,1,0,1,1,0,NA,0,38,0,0,0,19
1,0,0,0,0,0,5,0,1,0,0,0,1,0,0,0,0,0,17,1,0,1,NA,NA,0,1,1,1,3,0,0,0,0,0,0,0,1,40,NA,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,9,1,0,21,0,1,0,0,0,0,1,0,3,1,0,1,0,1,1,1,1,NA,5,0,22,0,0,NA,8
1,1,0,1,1,0,3,0,1,1,0,0,0,0,0,0,0,0,13,1,1,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,1,40,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,9,1,0,1,0,0,0,1,0,0,1,0,6,1,0,1,0,0,1,3,1,0,17,0,30,0,0,0,7
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1,1,0,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0,14,1,1,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,33,NA,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,9,1,0,4,0,0,0,1,0,0,0,0,6,1,0,1,0,0,1,3,1,1,5,0,19,0,0,NA,16
0,0,0,NA,0,0,5,0,1,0,0,0,1,0,1,0,1,0,19,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,3,0,1,0,1,0,0,0,0,3,0,0,1,1,0,0,3,1,0,18,0,37,0,0,1,11
0,1,0,1,1,0,5,0,1,0,0,0,0,0,0,0,0,0,13,0,1,1,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,39,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,9,0,0,6,0,0,1,0,0,0,1,0,6,0,0,1,0,0,0,3,1,0,8,0,21,0,0,0,18
1,1,1,0,1,0,5,0,1,0,0,0,1,1,0,0,0,0,13,1,1,1,1,1,1,0,0,1,3,0,0,0,0,0,0,0,1,26,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,9,1,1,1,0,1,0,1,1,0,1,0,6,1,0,1,1,0,1,3,1,1,4,0,17,1,0,0,1
1,1,0,NA,1,0,3,0,1,0,0,0,0,0,0,0,0,0,18,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,11,NA,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9,1,0,4,0,0,1,0,0,0,1,0,6,1,0,1,0,0,0,1,1,0,1,0,19,0,0,NA,15
1,1,0,NA,1,0,4,0,1,1,0,0,1,1,0,0,0,1,26,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,9,1,0,4,0,1,1,1,0,0,0,0,6,1,0,1,0,1,0,5,0,0,4,0,30,0,0,1,15
0,1,0,NA,1,0,4,0,NA,1,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,12,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,9,0,0,4,0,0,1,NA,0,0,0,0,6,0,0,1,1,0,0,5,0,0,3,0,20,0,0,1,15
0,1,0,1,1,0,4,0,1,0,0,0,0,0,0,0,0,0,13,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,62,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9,0,0,13,0,0,0,1,0,0,0,0,6,0,1,1,0,0,0,5,0,0,0,0,15,0,0,1,2
1,1,0,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,20,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,40,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,1,0,13,0,0,0,0,0,0,1,0,6,1,0,1,0,0,0,5,0,0,9,0,29,0,0,0,2
0,1,0,NA,1,0,4,0,1,0,0,0,0,1,0,0,0,0,14,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,NA,0,1,0,0,0,0,1,0,6,0,0,1,1,0,0,5,0,0,7,0,21,0,0,0,38
0,1,1,1,1,0,4,0,0,0,1,0,0,0,0,0,0,0,15,1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,NA,1,18,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,NA,1,0,9,0,1,8,0,0,0,NA,1,0,0,0,6,1,1,1,1,0,0,5,0,0,5,0,20,0,0,1,19
NA,1,NA,NA,1,0,4,0,1,0,NA,NA,1,1,0,0,0,0,22,0,1,0,NA,NA,1,0,0,0,4,0,0,0,0,0,NA,0,0,69,NA,0,0,NA,0,0,0,0,0,0,NA,NA,0,NA,NA,0,0,1,0,9,NA,NA,NA,NA,1,0,0,NA,0,0,0,5,NA,1,1,1,0,0,5,0,0,1,0,23,0,0,NA,4
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NA,NA,NA,1,NA,NA,1,0,NA,0,NA,NA,NA,NA,NA,0,0,0,21,1,NA,NA,NA,NA,NA,0,0,NA,4,0,NA,1,NA,0,NA,NA,0,79,0,0,0,NA,0,0,0,0,0,NA,NA,NA,0,NA,1,0,NA,NA,0,9,NA,NA,8,NA,0,NA,NA,NA,0,1,0,6,NA,NA,1,NA,0,NA,5,0,NA,NA,0,NA,NA,0,1,19
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1,1,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,36,0,0,1,1,1,1,1,1,1,3,1,0,0,0,1,0,0,1,39,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,9,1,0,4,0,1,0,0,0,0,1,1,6,1,0,1,1,1,1,5,0,0,4,0,40,0,0,0,15
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1,1,0,0,1,0,4,0,1,1,1,0,1,0,0,0,0,0,18,0,0,0,1,1,0,0,0,0,3,0,1,0,0,0,0,0,1,21,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,9,1,0,4,0,1,1,0,0,0,0,0,6,1,0,1,0,0,0,3,1,0,4,0,22,0,0,1,15
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1,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,9,1,0,0,1,1,0,0,0,0,4,0,0,0,0,0,0,0,1,73,NA,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,9,1,0,8,0,0,0,0,0,0,0,0,6,1,0,1,1,0,0,1,1,NA,8,0,17,1,0,NA,19
1,1,1,NA,1,0,3,0,1,0,0,0,1,1,0,0,0,0,43,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,11,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,9,1,1,17,0,1,0,1,1,0,0,0,6,1,0,1,0,0,1,1,1,0,13,0,56,0,0,0,5
0,1,0,NA,0,0,3,0,1,0,0,0,0,0,0,0,0,0,13,1,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,36,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,9,0,1,4,0,0,0,0,0,0,1,0,6,1,0,1,0,0,1,1,1,0,5,0,18,0,0,1,15
1,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,20,1,0,1,1,1,0,1,1,1,4,0,0,1,0,0,0,0,0,73,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,9,1,0,8,0,0,0,0,0,0,1,0,6,1,0,1,0,1,0,1,1,NA,1,0,21,0,0,1,19
0,1,0,NA,1,0,3,0,0,0,0,0,0,0,0,0,0,0,11,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,6,NA,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,8,1,0,0,NA,0,0,1,0,6,0,0,1,0,0,0,1,1,0,14,0,25,0,0,NA,19
1,1,0,0,0,0,5,0,1,1,0,0,1,0,0,0,0,0,18,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,1,39,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,9,1,0,24,0,1,0,0,0,0,1,0,6,1,0,1,0,0,0,5,0,NA,5,0,23,0,0,0,10
0,1,0,NA,1,0,5,0,1,0,0,0,1,1,0,0,0,0,24,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,14,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,1,0,13,1,1,0,0,0,0,1,0,6,0,0,1,1,0,0,5,0,0,4,0,28,1,0,0,2
0,0,0,1,0,0,3,0,1,0,0,NA,0,0,0,0,0,0,23,1,0,1,0,NA,0,0,0,1,4,0,0,1,0,0,NA,0,0,78,1,0,0,NA,1,0,0,0,0,0,0,NA,0,0,0,0,0,0,0,9,0,0,8,NA,0,0,0,0,0,1,0,1,0,0,1,0,0,0,5,0,NA,NA,0,23,0,0,1,19
0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,42,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,13,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,4,0,NA,0,0,44,0,0,0,2
0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,39,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,30,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,9,0,0,1,0,1,0,0,0,0,0,0,6,0,0,1,0,0,0,4,0,NA,1,0,40,0,0,0,1
NA,0,NA,NA,0,0,2,0,1,0,0,NA,0,0,0,0,0,0,31,0,0,1,NA,NA,0,0,0,1,0,0,0,0,0,0,NA,0,0,12,1,0,0,NA,0,1,0,0,0,0,NA,NA,0,NA,0,0,0,0,1,9,NA,NA,8,NA,0,0,NA,NA,0,1,0,6,NA,0,1,NA,0,0,4,0,1,NA,0,31,NA,0,1,19
1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,41,1,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,1,46,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,9,1,0,24,0,1,0,1,0,0,1,0,6,1,0,1,0,0,0,4,0,NA,0,0,43,0,0,0,10
0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,42,1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,48,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,9,0,0,4,0,0,0,0,0,0,0,0,6,0,0,1,1,0,1,4,0,NA,14,0,56,0,1,0,15
0,1,0,NA,1,0,5,0,1,0,0,0,0,0,0,0,0,0,43,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,14,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,13,1,0,0,1,0,0,1,0,6,0,0,1,0,0,0,4,0,NA,9,0,52,0,0,1,3
0,1,0,0,0,0,5,0,1,0,1,0,0,0,0,1,0,1,21,1,0,0,0,0,0,1,1,0,3,1,0,0,0,1,0,0,1,56,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,9,0,0,8,0,0,0,1,0,0,0,1,6,0,0,1,0,1,0,4,0,NA,3,0,24,0,0,0,19
0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,44,0,0,1,0,1,0,1,1,1,3,0,0,0,0,1,1,0,1,30,NA,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,9,1,1,8,1,0,0,NA,0,0,1,1,6,1,0,1,0,1,0,4,0,NA,4,0,48,0,0,NA,19
0,1,0,1,1,0,5,0,1,0,0,1,0,0,0,0,0,0,38,0,0,0,0,1,0,1,1,0,3,0,0,0,0,1,1,0,1,47,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,9,1,0,13,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,4,0,NA,3,0,41,0,0,1,2
0,0,0,NA,0,0,5,0,1,0,1,0,0,0,0,0,0,0,26,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,4,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,4,0,1,NA,0,26,0,0,1,16
0,0,0,0,0,0,4,0,1,1,1,0,0,0,0,0,0,0,21,1,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,37,NA,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,8,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,1,1,1,0,0,23,0,0,NA,19
0,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,35,0,1,1,0,1,0,0,1,1,3,0,1,1,0,1,1,0,1,41,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,19,1,0,1,NA,0,0,1,0,6,0,0,1,1,0,0,4,0,NA,0,0,37,0,1,1,6
0,1,0,NA,1,0,3,1,1,0,0,0,0,0,0,0,0,0,38,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,10,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,9,1,0,8,1,0,0,0,0,0,0,0,6,0,0,1,0,0,1,4,0,NA,0,0,40,0,1,0,19
0,1,0,NA,1,NA,3,1,1,0,0,0,0,0,0,0,0,0,35,1,1,1,0,0,0,0,1,1,0,0,NA,0,0,0,1,NA,0,6,0,0,0,0,1,0,0,0,0,NA,0,0,0,0,1,0,NA,0,0,9,1,0,8,NA,0,NA,1,0,0,1,0,6,0,0,1,0,0,0,4,0,NA,43,0,78,0,1,1,19
0,1,0,1,1,0,3,0,1,0,1,0,0,0,0,0,0,0,26,1,1,0,0,1,0,0,1,1,3,0,0,1,0,0,1,1,0,49,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,9,1,0,19,1,0,0,1,0,0,1,0,6,0,1,1,0,0,0,4,0,1,7,0,33,0,0,1,6
1,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,18,1,1,0,1,1,1,1,1,0,3,1,1,0,0,0,0,0,1,47,NA,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,9,1,0,3,0,1,1,0,0,0,0,0,6,1,0,1,0,1,0,5,0,0,0,0,20,0,0,NA,11
0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,27,1,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,31,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,9,0,0,24,0,0,0,0,0,0,1,0,6,0,0,1,1,0,1,5,0,1,5,0,32,0,0,1,10
0,1,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,18,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,34,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,9,0,1,6,0,0,0,0,0,0,0,0,6,1,0,1,0,0,1,5,0,0,6,0,24,0,0,0,18
NA,1,NA,1,1,0,5,1,0,0,NA,NA,0,0,0,0,0,0,28,1,0,1,NA,NA,0,0,0,1,4,0,0,1,0,0,NA,0,0,66,1,0,0,NA,0,0,0,0,0,0,NA,NA,0,NA,1,0,0,1,0,9,NA,NA,NA,NA,0,0,NA,NA,0,1,0,6,NA,0,1,0,0,0,5,0,0,NA,0,28,0,1,1,4
NA,1,NA,NA,1,1,5,0,1,0,1,0,NA,NA,0,0,0,0,24,1,0,0,NA,0,NA,0,0,0,1,0,0,0,0,0,0,0,1,3,1,0,0,0,1,0,0,0,0,1,NA,0,0,NA,NA,0,0,1,0,9,0,NA,13,0,0,0,1,NA,0,0,0,1,NA,1,1,NA,0,0,5,0,NA,0,0,26,NA,0,1,3
NA,0,NA,0,0,0,2,0,1,0,1,NA,0,0,0,0,0,0,9,0,0,1,NA,NA,0,0,0,1,3,0,0,0,0,0,NA,0,0,44,NA,0,0,NA,0,0,0,1,0,0,NA,NA,0,NA,0,0,0,1,0,9,NA,NA,4,NA,0,0,0,NA,0,1,0,6,NA,0,1,0,0,0,2,0,NA,12,0,21,0,0,NA,15
0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,1,0,1,12,0,0,0,1,1,0,1,1,0,3,1,0,1,0,1,0,0,1,56,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,9,0,0,13,0,1,0,0,0,0,0,1,4,1,0,1,0,1,1,3,1,NA,5,0,17,0,0,1,3
1,1,1,1,1,0,4,0,1,1,1,0,0,0,0,0,0,0,26,1,1,1,0,1,0,1,1,1,3,0,0,0,1,1,1,0,1,25,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,9,1,1,4,1,0,0,1,1,0,1,0,3,1,0,1,1,1,1,1,1,NA,4,0,30,0,0,1,15
0,1,0,NA,1,NA,5,0,1,0,0,0,0,0,0,0,0,0,10,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,5,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,NA,0,0,NA,0,0,0,1,0,6,0,0,1,0,1,0,2,0,NA,3,0,13,0,0,0,23
1,1,0,0,0,0,5,0,1,0,1,0,0,0,0,1,0,1,22,0,0,0,1,1,0,1,1,0,3,1,0,0,0,1,0,0,1,28,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,9,1,0,NA,0,0,0,1,0,0,0,1,6,1,0,1,0,1,1,2,0,NA,0,0,24,0,0,0,37
0,1,0,NA,1,0,5,0,1,0,0,0,0,0,0,0,0,0,15,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,10,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,13,1,0,0,0,0,0,0,0,6,0,0,1,0,1,0,2,0,NA,4,0,19,0,0,1,2
0,1,0,NA,1,0,5,0,1,0,0,0,0,0,0,0,1,0,11,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,9,0,0,8,0,1,0,1,0,1,0,0,6,1,0,1,0,0,0,2,0,NA,0,0,13,0,0,0,19
0,1,0,1,0,0,5,0,0,0,0,1,0,0,0,0,0,0,12,1,0,1,0,0,0,1,1,1,4,0,0,0,0,0,0,0,0,80,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,9,0,0,13,0,0,0,0,0,0,1,0,6,0,0,1,0,1,1,2,0,NA,7,0,19,0,0,1,2
0,0,0,NA,0,0,5,0,0,0,0,1,1,1,0,0,0,0,20,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,NA,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,9,0,0,NA,0,1,0,NA,0,0,1,0,3,0,0,1,0,1,0,2,0,NA,4,0,24,0,0,NA,39
0,0,0,1,0,0,5,0,1,0,0,0,0,0,0,0,0,0,20,0,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,13,0,0,0,1,0,0,1,0,6,0,0,1,0,0,0,2,0,NA,5,0,25,0,0,0,2
0,1,0,NA,1,0,5,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,13,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,2,0,0,5,0,14,0,0,0,2
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0,1,0,NA,1,0,3,0,1,0,0,0,0,0,0,0,0,0,21,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,8,0,0,0,0,0,0,0,0,6,0,0,1,0,0,1,2,0,NA,0,0,23,0,0,0,19
0,1,0,0,0,0,3,1,1,0,0,0,0,0,0,0,1,0,10,0,0,1,0,0,0,1,1,1,3,1,0,0,0,1,0,0,1,40,NA,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,8,0,1,0,0,0,0,1,1,6,0,0,1,0,1,0,2,0,NA,3,0,13,0,1,NA,19
1,1,0,1,1,0,3,0,1,0,0,0,1,1,0,0,0,0,17,0,0,1,1,1,1,1,1,1,3,0,1,0,0,1,0,0,1,49,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,9,1,0,24,0,1,1,0,0,0,1,1,6,1,0,1,0,1,1,2,0,0,4,0,21,0,0,1,10
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0,1,0,1,1,0,4,NA,1,0,0,1,0,0,0,0,0,0,7,1,0,1,0,1,0,1,1,1,3,0,0,0,0,0,1,0,1,19,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,9,1,0,8,1,0,0,0,0,0,1,0,6,0,0,1,1,1,0,3,1,1,12,0,19,0,NA,1,19
0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,17,0,0,1,1,1,0,0,0,1,3,0,0,0,0,0,0,0,0,32,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,8,0,1,0,0,0,0,1,0,6,1,0,1,1,0,0,2,0,NA,0,0,19,0,0,0,19
1,1,0,0,1,0,4,0,1,0,0,0,1,0,0,0,0,0,15,0,1,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,42,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,9,1,1,1,0,1,0,0,0,0,0,0,6,1,0,1,0,0,0,2,0,1,3,0,18,0,0,0,1
0,1,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,11,0,1,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,55,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,13,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,2,0,0,3,0,14,0,0,0,3
0,1,0,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,13,1,0,1,0,1,0,0,1,1,3,0,0,0,0,1,1,0,1,29,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,4,1,0,0,1,0,0,1,0,6,0,0,1,0,0,0,2,0,NA,0,0,15,0,0,0,15
0,1,0,NA,1,0,1,0,1,NA,0,0,0,0,0,0,1,0,12,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,NA,0,NA,0,0,1,0,1,0,0,0,0,NA,0,0,0,0,1,0,9,0,0,1,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,2,0,1,8,0,20,0,0,NA,1
0,0,0,NA,0,0,4,0,1,0,1,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,NA,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,NA,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,2,0,NA,3,0,15,0,0,NA,41
0,1,0,NA,1,0,4,0,1,0,0,0,0,0,0,0,0,0,19,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,8,0,0,0,0,0,0,1,0,6,0,0,1,0,0,1,2,0,NA,6,0,25,0,0,0,19
1,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,12,1,0,1,1,1,0,0,1,1,3,0,0,0,0,0,1,0,0,50,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,9,1,0,8,1,0,0,0,0,0,1,0,6,1,0,1,0,0,0,3,1,0,12,0,24,0,1,1,19
0,1,0,NA,1,0,4,0,1,0,0,0,1,1,0,0,0,0,19,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,17,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,9,1,0,13,1,1,0,1,0,0,1,0,6,0,0,1,1,1,1,2,0,0,5,0,24,1,0,1,2
0,1,0,1,1,0,4,0,1,NA,1,1,0,0,0,0,0,0,6,0,1,1,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,18,NA,0,NA,0,1,0,1,0,0,0,0,1,NA,0,0,0,0,1,0,9,0,0,13,0,0,0,0,0,0,1,0,6,0,0,1,0,1,0,2,0,0,0,0,8,0,0,NA,2
0,1,0,NA,1,1,4,0,1,0,0,0,0,0,0,0,0,0,19,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,9,0,0,8,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,2,0,0,5,0,24,0,0,0,19
0,1,0,1,1,0,4,0,1,0,0,0,1,1,0,0,0,0,15,0,0,0,0,1,1,0,1,0,3,0,0,0,0,0,0,0,0,62,NA,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,13,1,1,0,0,0,0,0,0,6,0,0,1,0,0,0,2,0,NA,6,0,21,0,0,NA,3
0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,22,0,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,36,NA,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,8,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,2,0,0,15,0,37,0,0,NA,19
0,1,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,0,8,0,0,0,0,1,0,0,1,0,4,0,0,1,0,1,0,0,1,75,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,911,1,1,0,0,0,0,0,0,6,0,0,1,1,0,0,2,0,1,0,0,10,1,0,1,21
0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,11,0,0,1,0,1,0,1,1,1,3,1,0,0,0,1,0,0,1,36,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,8,1,0,0,1,0,0,1,0,6,0,0,1,0,1,0,2,0,0,4,0,15,0,0,0,19
0,1,0,1,1,0,4,0,1,0,1,0,0,0,0,0,0,0,9,1,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,40,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,13,0,0,1,0,0,0,0,0,6,0,0,1,0,0,1,2,0,0,3,0,12,0,0,1,2
0,1,0,1,0,0,3,0,1,0,0,0,0,0,0,0,0,1,20,0,0,1,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0,19,NA,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,9,0,0,NA,0,0,0,1,0,0,1,0,6,0,0,1,1,1,0,3,1,1,0,0,22,0,0,NA,31
0,1,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,47,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,NA,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,1,1,0,0,0,15,0,0,0,32
0,1,0,NA,1,0,4,0,1,0,0,0,1,1,0,0,0,0,17,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,8,0,1,0,1,0,0,1,0,6,0,1,1,1,0,0,1,1,NA,13,0,30,0,0,0,19
1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,28,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,8,0,0,0,0,0,0,0,0,6,1,0,1,1,0,0,1,1,NA,0,0,14,0,0,1,19
0,1,0,NA,0,0,2,0,1,0,1,1,0,0,0,0,0,0,15,0,0,0,0,0,0,1,1,0,4,0,0,0,0,1,0,0,1,81,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,9,0,0,8,0,0,0,0,0,0,0,1,6,0,0,1,0,1,1,1,1,NA,1,0,16,0,0,1,19
1,1,0,NA,1,0,2,0,0,0,NA,0,0,0,0,0,0,0,21,0,1,NA,NA,NA,0,0,0,NA,3,0,0,0,0,0,0,0,1,23,NA,0,0,0,1,0,1,0,0,0,1,0,0,1,NA,0,0,1,0,9,1,1,8,0,0,0,0,0,0,1,0,5,1,0,1,0,0,0,1,1,NA,3,0,24,0,0,NA,19


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