ls()
## character(0)
rm(list = ls())

getwd()
## [1] "D:/data"
x_train<-read.csv("X_train.csv")
x_test<-read.csv("X_test.csv")
y_train<-read.csv("y_train.csv")
library(tidyverse)
## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v ggplot2 3.3.5     v purrr   0.3.4
## v tibble  3.1.6     v dplyr   1.0.7
## v tidyr   1.1.4     v stringr 1.4.0
## v readr   2.1.0     v forcats 0.5.1
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
library(dplyr)
x_train %>% glimpse
## Rows: 3,500
## Columns: 10
## $ cust_id        <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1~
## $ 총구매액       <dbl> 68282840, 2136000, 3197000, 16077620, 29050000, 11379000, 1~
## $ 최대구매액     <int> 11264000, 2136000, 1639000, 4935000, 24000000, 9552000, 7612~
## $ 환불금액       <int> 6860000, 300000, NA, NA, NA, 462000, 4582000, 29524000, NA,~
## $ 주구매상품     <chr> "기타", "스포츠", "남성 캐주얼", "기타", "보석", "디자이너",~
## $ 주구매지점     <chr> "강남점", "잠실점", "관악점", "광주점", "본  점", "일산점", ~
## $ 내점일수       <int> 19, 2, 2, 18, 2, 3, 5, 63, 18, 1, 25, 3, 2, 27, 84, 152, 26~
## $ 내점당구매건수 <dbl> 3.894737, 1.500000, 2.000000, 2.444444, 1.500000, 1.666667, 2.~
## $ 주말방문비율   <dbl> 0.52702703, 0.00000000, 0.00000000, 0.31818182, 0.00000000, 0~
## $ 구매주기       <int> 17, 1, 1, 16, 85, 42, 42, 5, 15, 0, 13, 89, 16, 10, 4, 2, 1~
y_train %>% glimpse
## Rows: 3,500
## Columns: 2
## $ cust_id <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ~
## $ gender  <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1,~
left_join(x_train,y_train,by="cust_id") %>% mutate(index="train")->train
train %>% glimpse
## Rows: 3,500
## Columns: 12
## $ cust_id        <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1~
## $ 총구매액       <dbl> 68282840, 2136000, 3197000, 16077620, 29050000, 11379000, 1~
## $ 최대구매액     <int> 11264000, 2136000, 1639000, 4935000, 24000000, 9552000, 7612~
## $ 환불금액       <int> 6860000, 300000, NA, NA, NA, 462000, 4582000, 29524000, NA,~
## $ 주구매상품     <chr> "기타", "스포츠", "남성 캐주얼", "기타", "보석", "디자이너",~
## $ 주구매지점     <chr> "강남점", "잠실점", "관악점", "광주점", "본  점", "일산점", ~
## $ 내점일수       <int> 19, 2, 2, 18, 2, 3, 5, 63, 18, 1, 25, 3, 2, 27, 84, 152, 26~
## $ 내점당구매건수 <dbl> 3.894737, 1.500000, 2.000000, 2.444444, 1.500000, 1.666667, 2.~
## $ 주말방문비율   <dbl> 0.52702703, 0.00000000, 0.00000000, 0.31818182, 0.00000000, 0~
## $ 구매주기       <int> 17, 1, 1, 16, 85, 42, 42, 5, 15, 0, 13, 89, 16, 10, 4, 2, 1~
## $ gender         <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0~
## $ index          <chr> "train", "train", "train", "train", "train", "train", "~
x_test %>% glimpse
## Rows: 2,482
## Columns: 10
## $ cust_id        <int> 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3~
## $ 총구매액       <dbl> 70900400, 310533100, 305264140, 7594080, 1795790, 13000000,~
## $ 최대구매액     <int> 22000000, 38558000, 14825000, 5225000, 1411200, 2160000, 699~
## $ 환불금액       <int> 4050000, 48034700, 30521000, NA, NA, NA, 39566000, NA, NA, ~
## $ 주구매상품     <chr> "골프", "농산물", "가공식품", "주방용품", "수산품", "화장품"~
## $ 주구매지점     <chr> "부산본점", "잠실점", "본  점", "부산본점", "청량리점", "잠~
## $ 내점일수       <int> 13, 90, 101, 5, 3, 5, 144, 1, 1, 28, 21, 3, 23, 30, 3, 8, 2~
## $ 내점당구매건수 <dbl> 1.461538, 2.433333, 14.623762, 2.000000, 2.666667, 2.200000, 2~
## $ 주말방문비율   <dbl> 0.78947368, 0.36986301, 0.08327691, 0.00000000, 0.12500000, 0~
## $ 구매주기       <int> 26, 3, 3, 47, 8, 61, 2, 0, 0, 12, 14, 2, 15, 11, 112, 29, 1~
x_test %>% mutate(index="test")->test
bind_rows(train,test)->full
full %>% glimpse
## Rows: 5,982
## Columns: 12
## $ cust_id        <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1~
## $ 총구매액       <dbl> 68282840, 2136000, 3197000, 16077620, 29050000, 11379000, 1~
## $ 최대구매액     <int> 11264000, 2136000, 1639000, 4935000, 24000000, 9552000, 7612~
## $ 환불금액       <int> 6860000, 300000, NA, NA, NA, 462000, 4582000, 29524000, NA,~
## $ 주구매상품     <chr> "기타", "스포츠", "남성 캐주얼", "기타", "보석", "디자이너",~
## $ 주구매지점     <chr> "강남점", "잠실점", "관악점", "광주점", "본  점", "일산점", ~
## $ 내점일수       <int> 19, 2, 2, 18, 2, 3, 5, 63, 18, 1, 25, 3, 2, 27, 84, 152, 26~
## $ 내점당구매건수 <dbl> 3.894737, 1.500000, 2.000000, 2.444444, 1.500000, 1.666667, 2.~
## $ 주말방문비율   <dbl> 0.52702703, 0.00000000, 0.00000000, 0.31818182, 0.00000000, 0~
## $ 구매주기       <int> 17, 1, 1, 16, 85, 42, 42, 5, 15, 0, 13, 89, 16, 10, 4, 2, 1~
## $ gender         <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0~
## $ index          <chr> "train", "train", "train", "train", "train", "train", "~
full$gender<-as.factor(full$gender)
full$gender<-ifelse(full$gender==0,"여성","남성")
full %>% glimpse
## Rows: 5,982
## Columns: 12
## $ cust_id        <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1~
## $ 총구매액       <dbl> 68282840, 2136000, 3197000, 16077620, 29050000, 11379000, 1~
## $ 최대구매액     <int> 11264000, 2136000, 1639000, 4935000, 24000000, 9552000, 7612~
## $ 환불금액       <int> 6860000, 300000, NA, NA, NA, 462000, 4582000, 29524000, NA,~
## $ 주구매상품     <chr> "기타", "스포츠", "남성 캐주얼", "기타", "보석", "디자이너",~
## $ 주구매지점     <chr> "강남점", "잠실점", "관악점", "광주점", "본  점", "일산점", ~
## $ 내점일수       <int> 19, 2, 2, 18, 2, 3, 5, 63, 18, 1, 25, 3, 2, 27, 84, 152, 26~
## $ 내점당구매건수 <dbl> 3.894737, 1.500000, 2.000000, 2.444444, 1.500000, 1.666667, 2.~
## $ 주말방문비율   <dbl> 0.52702703, 0.00000000, 0.00000000, 0.31818182, 0.00000000, 0~
## $ 구매주기       <int> 17, 1, 1, 16, 85, 42, 42, 5, 15, 0, 13, 89, 16, 10, 4, 2, 1~
## $ gender         <chr> "여성", "여성", "남성", "남성", "여성", "여성", "여성",~
## $ index          <chr> "train", "train", "train", "train", "train", "train", "~
#결치값 확인
colSums(is.na(full))
##        cust_id       총구매액     최대구매액       환불금액     주구매상품 
##              0              0              0           3906              0 
##     주구매지점       내점일수 내점당구매건수   주말방문비율       구매주기 
##              0              0              0              0              0 
##         gender          index 
##           2482              0
full$환불금액<-ifelse(is.na(full$환불금액),0,full$환불금액)
names(full)
##  [1] "cust_id"        "총구매액"       "최대구매액"     "환불금액"      
##  [5] "주구매상품"     "주구매지점"     "내점일수"       "내점당구매건수"
##  [9] "주말방문비율"   "구매주기"       "gender"         "index"
full %>% rename(total='총구매액',max='최대구매액',refund='환불금액',product='주구매상품',
                store='주구매지점',day='내점일수',count='내점당구매건수',week='주말방문비율',
                cycle='구매주기') %>% select(cust_id,gender,index,total,max,refund,product,store,day,
                                         count,week,cycle)->data
data %>% glimpse
## Rows: 5,982
## Columns: 12
## $ cust_id <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ~
## $ gender  <chr> "여성", "여성", "남성", "남성", "여성", "여성", "여성", "여성"~
## $ index   <chr> "train", "train", "train", "train", "train", "train", "train",~
## $ total   <dbl> 68282840, 2136000, 3197000, 16077620, 29050000, 11379000, 1005~
## $ max     <int> 11264000, 2136000, 1639000, 4935000, 24000000, 9552000, 761200~
## $ refund  <dbl> 6860000, 300000, 0, 0, 0, 462000, 4582000, 29524000, 0, 0, 224~
## $ product <chr> "기타", "스포츠", "남성 캐주얼", "기타", "보석", "디자이너", "~
## $ store   <chr> "강남점", "잠실점", "관악점", "광주점", "본  점", "일산점", "~
## $ day     <int> 19, 2, 2, 18, 2, 3, 5, 63, 18, 1, 25, 3, 2, 27, 84, 152, 26, 2~
## $ count   <dbl> 3.894737, 1.500000, 2.000000, 2.444444, 1.500000, 1.666667, 2.~
## $ week    <dbl> 0.52702703, 0.00000000, 0.00000000, 0.31818182, 0.00000000, 0.~
## $ cycle   <int> 17, 1, 1, 16, 85, 42, 42, 5, 15, 0, 13, 89, 16, 10, 4, 2, 13, ~
#data scaling
#record() selected for the step shouldbe numeric
library(recipes)
## 
## 다음의 패키지를 부착합니다: 'recipes'
## The following object is masked from 'package:stringr':
## 
##     fixed
## The following object is masked from 'package:stats':
## 
##     step
#YeoJohnson(수치형데어터)
recipe(gender~.,data=data) %>% step_YeoJohnson(total,refund,max,day,count,cycle,week) %>% 
  step_center(total,refund,max,day,count,cycle,week) %>%
  step_scale(total,refund,max,day,count,cycle,week) %>% 
  prep() %>% juice()->data1
data1 %>% glimpse  
## Rows: 5,982
## Columns: 12
## $ cust_id <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ~
## $ index   <fct> train, train, train, train, train, train, train, train, train,~
## $ total   <dbl> -0.1109616, -0.5964776, -0.5864340, -0.4794213, -0.3820895, -0~
## $ max     <dbl> -0.25879992, -0.58005471, -0.59931645, -0.47681619, 0.15253819~
## $ refund  <dbl> 1.3776676, 1.2130535, -0.7281455, -0.7281455, -0.7281455, 1.23~
## $ product <fct> 기타, 스포츠, 남성 캐주얼, 기타, 보석, 디자이너, 시티웨어, 명~
## $ store   <fct> 강남점, 잠실점, 관악점, 광주점, 본  점, 일산점, 강남점, 본  점~
## $ day     <dbl> 0.6267964, -0.9872986, -0.9872986, 0.5877041, -0.9872986, -0.7~
## $ count   <dbl> 0.92059492, -0.89611526, -0.32407144, 0.06726813, -0.89611526,~
## $ week    <dbl> 0.96145636, -1.31805060, -1.31805060, 0.32838074, -1.31805060,~
## $ cycle   <dbl> 0.28905563, -1.19528222, -1.19528222, 0.24219137, 1.78728765, ~
## $ gender  <fct> 여성, 여성, 남성, 남성, 여성, 여성, 여성, 여성, 여성, 남성, 여~
data1 %>% filter(index=="train")->train  
data1 %>% filter(index=="test")->test  
train %>% glimpse
## Rows: 3,500
## Columns: 12
## $ cust_id <int> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ~
## $ index   <fct> train, train, train, train, train, train, train, train, train,~
## $ total   <dbl> -0.1109616, -0.5964776, -0.5864340, -0.4794213, -0.3820895, -0~
## $ max     <dbl> -0.25879992, -0.58005471, -0.59931645, -0.47681619, 0.15253819~
## $ refund  <dbl> 1.3776676, 1.2130535, -0.7281455, -0.7281455, -0.7281455, 1.23~
## $ product <fct> 기타, 스포츠, 남성 캐주얼, 기타, 보석, 디자이너, 시티웨어, 명~
## $ store   <fct> 강남점, 잠실점, 관악점, 광주점, 본  점, 일산점, 강남점, 본  점~
## $ day     <dbl> 0.6267964, -0.9872986, -0.9872986, 0.5877041, -0.9872986, -0.7~
## $ count   <dbl> 0.92059492, -0.89611526, -0.32407144, 0.06726813, -0.89611526,~
## $ week    <dbl> 0.96145636, -1.31805060, -1.31805060, 0.32838074, -1.31805060,~
## $ cycle   <dbl> 0.28905563, -1.19528222, -1.19528222, 0.24219137, 1.78728765, ~
## $ gender  <fct> 여성, 여성, 남성, 남성, 여성, 여성, 여성, 여성, 여성, 남성, 여~
test %>% glimpse
## Rows: 2,482
## Columns: 12
## $ cust_id <int> 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509, 35~
## $ index   <fct> test, test, test, test, test, test, test, test, test, test, te~
## $ total   <dbl> -0.09362559, 1.34110143, 1.31143858, -0.54778996, -0.59980489,~
## $ max     <dbl> 0.089468448, 0.600495747, -0.141104076, -0.466459765, -0.60829~
## $ refund  <dbl> 1.3542376, 1.4520226, 1.4362696, -0.7281455, -0.7281455, -0.72~
## $ product <fct> 골프, 농산물, 가공식품, 주방용품, 수산품, 화장품, 기타, 스포츠~
## $ store   <fct> 부산본점, 잠실점, 본  점, 부산본점, 청량리점, 잠실점, 본  점, ~
## $ day     <dbl> 0.350041555, 1.681756600, 1.753892157, -0.355633693, -0.718899~
## $ count   <dbl> -0.94789213, 0.05850302, 2.69882364, -0.32407144, 0.23337268, ~
## $ week    <dbl> 1.50343319, 0.50775219, -0.76870129, -1.31805060, -0.53138813,~
## $ cycle   <dbl> 0.63632110, -0.79121394, -0.79121394, 1.17671309, -0.24672284,~
## $ gender  <fct> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA~
library(caret)
## 필요한 패키지를 로딩중입니다: lattice
## 
## 다음의 패키지를 부착합니다: 'caret'
## The following object is masked from 'package:purrr':
## 
##     lift
#cv=교차검증
ctrl<-trainControl(method = "cv",summaryFunction = twoClassSummary,
                   classProbs = TRUE)
ctrl %>% glimpse
## List of 27
##  $ method           : chr "cv"
##  $ number           : num 10
##  $ repeats          : logi NA
##  $ search           : chr "grid"
##  $ p                : num 0.75
##  $ initialWindow    : NULL
##  $ horizon          : num 1
##  $ fixedWindow      : logi TRUE
##  $ skip             : num 0
##  $ verboseIter      : logi FALSE
##  $ returnData       : logi TRUE
##  $ returnResamp     : chr "final"
##  $ savePredictions  : logi FALSE
##  $ classProbs       : logi TRUE
##  $ summaryFunction  :function (data, lev = NULL, model = NULL)  
##  $ selectionFunction: chr "best"
##  $ preProcOptions   :List of 6
##   ..$ thresh   : num 0.95
##   ..$ ICAcomp  : num 3
##   ..$ k        : num 5
##   ..$ freqCut  : num 19
##   ..$ uniqueCut: num 10
##   ..$ cutoff   : num 0.9
##  $ sampling         : NULL
##  $ index            : NULL
##  $ indexOut         : NULL
##  $ indexFinal       : NULL
##  $ timingSamps      : num 0
##  $ predictionBounds : logi [1:2] FALSE FALSE
##  $ seeds            : logi NA
##  $ adaptive         :List of 4
##   ..$ min     : num 5
##   ..$ alpha   : num 0.05
##   ..$ method  : chr "gls"
##   ..$ complete: logi TRUE
##  $ trim             : logi FALSE
##  $ allowParallel    : logi TRUE
train(gender~.,data=train,method="rpart",metric="ROC",
      trControl=ctrl)->rpartfit
rpartfit
## CART 
## 
## 3500 samples
##   11 predictor
##    2 classes: '남성', '여성' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 3150, 3149, 3150, 3151, 3151, 3149, ... 
## Resampling results across tuning parameters:
## 
##   cp           ROC        Sens       Spec     
##   0.005319149  0.6297784  0.3449861  0.8081228
##   0.006838906  0.6302788  0.4064712  0.7756169
##   0.007598784  0.6146416  0.3889718  0.7838214
## 
## ROC was used to select the optimal model using the largest value.
## The final value used for the model was cp = 0.006838906.
train(gender~.,data=train,method="knn",metric="ROC",
      trControl=ctrl)->rpartfit01
train(gender~.,data=train,method="glm",metric="ROC",
      trControl=ctrl)->rpartfit02    
## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type == :
## prediction from a rank-deficient fit may be misleading
#names(getModelinfo())
predict(rpartfit,test,type='prob')->pred_fit
head(pred_fit)
##        남성      여성
## 1 0.2635710 0.7364290
## 2 0.2635710 0.7364290
## 3 0.2635710 0.7364290
## 4 0.5528302 0.4471698
## 5 0.5528302 0.4471698
## 6 0.3072289 0.6927711
bind_cols(x_test,pred_fit) %>% select(cust_id,"남성","여성")
##      cust_id      남성      여성
## 1       3500 0.2635710 0.7364290
## 2       3501 0.2635710 0.7364290
## 3       3502 0.2635710 0.7364290
## 4       3503 0.5528302 0.4471698
## 5       3504 0.5528302 0.4471698
## 6       3505 0.3072289 0.6927711
## 7       3506 0.2635710 0.7364290
## 8       3507 0.5528302 0.4471698
## 9       3508 0.3072289 0.6927711
## 10      3509 0.2635710 0.7364290
## 11      3510 0.2635710 0.7364290
## 12      3511 0.5528302 0.4471698
## 13      3512 0.2635710 0.7364290
## 14      3513 0.2635710 0.7364290
## 15      3514 0.5528302 0.4471698
## 16      3515 0.2275862 0.7724138
## 17      3516 0.2635710 0.7364290
## 18      3517 0.3072289 0.6927711
## 19      3518 0.4065934 0.5934066
## 20      3519 0.5930736 0.4069264
## 21      3520 0.5930736 0.4069264
## 22      3521 0.4065934 0.5934066
## 23      3522 0.5528302 0.4471698
## 24      3523 0.2635710 0.7364290
## 25      3524 0.2275862 0.7724138
## 26      3525 0.5528302 0.4471698
## 27      3526 0.2275862 0.7724138
## 28      3527 0.8666667 0.1333333
## 29      3528 0.5528302 0.4471698
## 30      3529 0.5528302 0.4471698
## 31      3530 0.2635710 0.7364290
## 32      3531 0.5528302 0.4471698
## 33      3532 0.2635710 0.7364290
## 34      3533 0.2635710 0.7364290
## 35      3534 0.5528302 0.4471698
## 36      3535 0.5930736 0.4069264
## 37      3536 0.5930736 0.4069264
## 38      3537 0.2989691 0.7010309
## 39      3538 0.5528302 0.4471698
## 40      3539 0.5528302 0.4471698
## 41      3540 0.2635710 0.7364290
## 42      3541 0.2635710 0.7364290
## 43      3542 0.1718750 0.8281250
## 44      3543 0.4065934 0.5934066
## 45      3544 0.5930736 0.4069264
## 46      3545 0.2635710 0.7364290
## 47      3546 0.2635710 0.7364290
## 48      3547 0.2635710 0.7364290
## 49      3548 0.5528302 0.4471698
## 50      3549 0.2635710 0.7364290
## 51      3550 0.5930736 0.4069264
## 52      3551 0.5930736 0.4069264
## 53      3552 0.5970149 0.4029851
## 54      3553 0.2635710 0.7364290
## 55      3554 0.3072289 0.6927711
## 56      3555 0.2635710 0.7364290
## 57      3556 0.7826087 0.2173913
## 58      3557 0.3072289 0.6927711
## 59      3558 0.2635710 0.7364290
## 60      3559 0.2635710 0.7364290
## 61      3560 0.3333333 0.6666667
## 62      3561 0.2635710 0.7364290
## 63      3562 0.2635710 0.7364290
## 64      3563 0.2635710 0.7364290
## 65      3564 0.2989691 0.7010309
## 66      3565 0.5528302 0.4471698
## 67      3566 0.2635710 0.7364290
## 68      3567 0.5528302 0.4471698
## 69      3568 0.2635710 0.7364290
## 70      3569 0.5930736 0.4069264
## 71      3570 0.2635710 0.7364290
## 72      3571 0.5528302 0.4471698
## 73      3572 0.5528302 0.4471698
## 74      3573 0.5930736 0.4069264
## 75      3574 0.5970149 0.4029851
## 76      3575 0.5528302 0.4471698
## 77      3576 0.5528302 0.4471698
## 78      3577 0.2635710 0.7364290
## 79      3578 0.2635710 0.7364290
## 80      3579 0.2635710 0.7364290
## 81      3580 0.5528302 0.4471698
## 82      3581 0.5528302 0.4471698
## 83      3582 0.5528302 0.4471698
## 84      3583 0.4065934 0.5934066
## 85      3584 0.4065934 0.5934066
## 86      3585 0.2635710 0.7364290
## 87      3586 0.2635710 0.7364290
## 88      3587 0.2635710 0.7364290
## 89      3588 0.2635710 0.7364290
## 90      3589 0.3072289 0.6927711
## 91      3590 0.2635710 0.7364290
## 92      3591 0.2635710 0.7364290
## 93      3592 0.5528302 0.4471698
## 94      3593 0.5970149 0.4029851
## 95      3594 0.2635710 0.7364290
## 96      3595 0.2275862 0.7724138
## 97      3596 0.2989691 0.7010309
## 98      3597 0.2635710 0.7364290
## 99      3598 0.2635710 0.7364290
## 100     3599 0.5528302 0.4471698
## 101     3600 0.2635710 0.7364290
## 102     3601 0.2635710 0.7364290
## 103     3602 0.4065934 0.5934066
## 104     3603 0.2635710 0.7364290
## 105     3604 0.5930736 0.4069264
## 106     3605 0.1718750 0.8281250
## 107     3606 0.2275862 0.7724138
## 108     3607 0.1718750 0.8281250
## 109     3608 0.2635710 0.7364290
## 110     3609 0.2635710 0.7364290
## 111     3610 0.5528302 0.4471698
## 112     3611 0.5528302 0.4471698
## 113     3612 0.5528302 0.4471698
## 114     3613 0.2635710 0.7364290
## 115     3614 0.5528302 0.4471698
## 116     3615 0.2635710 0.7364290
## 117     3616 0.5528302 0.4471698
## 118     3617 0.5930736 0.4069264
## 119     3618 0.5930736 0.4069264
## 120     3619 0.2635710 0.7364290
## 121     3620 0.2635710 0.7364290
## 122     3621 0.2275862 0.7724138
## 123     3622 0.4065934 0.5934066
## 124     3623 0.5528302 0.4471698
## 125     3624 0.2635710 0.7364290
## 126     3625 0.5528302 0.4471698
## 127     3626 0.4065934 0.5934066
## 128     3627 0.2635710 0.7364290
## 129     3628 0.5930736 0.4069264
## 130     3629 0.1718750 0.8281250
## 131     3630 0.2635710 0.7364290
## 132     3631 0.5970149 0.4029851
## 133     3632 0.2635710 0.7364290
## 134     3633 0.2635710 0.7364290
## 135     3634 0.2635710 0.7364290
## 136     3635 0.2635710 0.7364290
## 137     3636 0.4065934 0.5934066
## 138     3637 0.2635710 0.7364290
## 139     3638 0.2989691 0.7010309
## 140     3639 0.5528302 0.4471698
## 141     3640 0.5528302 0.4471698
## 142     3641 0.2635710 0.7364290
## 143     3642 0.5930736 0.4069264
## 144     3643 0.2635710 0.7364290
## 145     3644 0.2635710 0.7364290
## 146     3645 0.2635710 0.7364290
## 147     3646 0.1718750 0.8281250
## 148     3647 0.3333333 0.6666667
## 149     3648 0.5930736 0.4069264
## 150     3649 0.2275862 0.7724138
## 151     3650 0.2635710 0.7364290
## 152     3651 0.4065934 0.5934066
## 153     3652 0.2635710 0.7364290
## 154     3653 0.5970149 0.4029851
## 155     3654 0.5528302 0.4471698
## 156     3655 0.4065934 0.5934066
## 157     3656 0.4065934 0.5934066
## 158     3657 0.5970149 0.4029851
## 159     3658 0.2635710 0.7364290
## 160     3659 0.2635710 0.7364290
## 161     3660 0.2635710 0.7364290
## 162     3661 0.5930736 0.4069264
## 163     3662 0.2635710 0.7364290
## 164     3663 0.5528302 0.4471698
## 165     3664 0.3333333 0.6666667
## 166     3665 0.5930736 0.4069264
## 167     3666 0.7826087 0.2173913
## 168     3667 0.2635710 0.7364290
## 169     3668 0.1718750 0.8281250
## 170     3669 0.5528302 0.4471698
## 171     3670 0.2635710 0.7364290
## 172     3671 0.5930736 0.4069264
## 173     3672 0.2635710 0.7364290
## 174     3673 0.5970149 0.4029851
## 175     3674 0.3333333 0.6666667
## 176     3675 0.2635710 0.7364290
## 177     3676 0.2275862 0.7724138
## 178     3677 0.5970149 0.4029851
## 179     3678 0.2275862 0.7724138
## 180     3679 0.2275862 0.7724138
## 181     3680 0.2635710 0.7364290
## 182     3681 0.5528302 0.4471698
## 183     3682 0.5528302 0.4471698
## 184     3683 0.2635710 0.7364290
## 185     3684 0.2635710 0.7364290
## 186     3685 0.4065934 0.5934066
## 187     3686 0.2635710 0.7364290
## 188     3687 0.2142857 0.7857143
## 189     3688 0.2635710 0.7364290
## 190     3689 0.5930736 0.4069264
## 191     3690 0.2635710 0.7364290
## 192     3691 0.2635710 0.7364290
## 193     3692 0.2635710 0.7364290
## 194     3693 0.2635710 0.7364290
## 195     3694 0.2635710 0.7364290
## 196     3695 0.5528302 0.4471698
## 197     3696 0.5970149 0.4029851
## 198     3697 0.2989691 0.7010309
## 199     3698 0.2635710 0.7364290
## 200     3699 0.2275862 0.7724138
## 201     3700 0.2635710 0.7364290
## 202     3701 0.2635710 0.7364290
## 203     3702 0.2989691 0.7010309
## 204     3703 0.2142857 0.7857143
## 205     3704 0.5528302 0.4471698
## 206     3705 0.5528302 0.4471698
## 207     3706 0.2635710 0.7364290
## 208     3707 0.2635710 0.7364290
## 209     3708 0.2635710 0.7364290
## 210     3709 0.2635710 0.7364290
## 211     3710 0.2635710 0.7364290
## 212     3711 0.2635710 0.7364290
## 213     3712 0.5528302 0.4471698
## 214     3713 0.2635710 0.7364290
## 215     3714 0.4065934 0.5934066
## 216     3715 0.2635710 0.7364290
## 217     3716 0.2989691 0.7010309
## 218     3717 0.2989691 0.7010309
## 219     3718 0.2635710 0.7364290
## 220     3719 0.2635710 0.7364290
## 221     3720 0.5970149 0.4029851
## 222     3721 0.5930736 0.4069264
## 223     3722 0.2635710 0.7364290
## 224     3723 0.5970149 0.4029851
## 225     3724 0.2275862 0.7724138
## 226     3725 0.4065934 0.5934066
## 227     3726 0.5528302 0.4471698
## 228     3727 0.5528302 0.4471698
## 229     3728 0.5528302 0.4471698
## 230     3729 0.5930736 0.4069264
## 231     3730 0.3072289 0.6927711
## 232     3731 0.3333333 0.6666667
## 233     3732 0.4065934 0.5934066
## 234     3733 0.5930736 0.4069264
## 235     3734 0.2635710 0.7364290
## 236     3735 0.2635710 0.7364290
## 237     3736 0.2635710 0.7364290
## 238     3737 0.5970149 0.4029851
## 239     3738 0.2635710 0.7364290
## 240     3739 0.2142857 0.7857143
## 241     3740 0.5528302 0.4471698
## 242     3741 0.5528302 0.4471698
## 243     3742 0.3333333 0.6666667
## 244     3743 0.2635710 0.7364290
## 245     3744 0.2635710 0.7364290
## 246     3745 0.2635710 0.7364290
## 247     3746 0.5930736 0.4069264
## 248     3747 0.2635710 0.7364290
## 249     3748 0.2635710 0.7364290
## 250     3749 0.5528302 0.4471698
## 251     3750 0.2275862 0.7724138
## 252     3751 0.5528302 0.4471698
## 253     3752 0.2635710 0.7364290
## 254     3753 0.7826087 0.2173913
## 255     3754 0.4065934 0.5934066
## 256     3755 0.3380282 0.6619718
## 257     3756 0.5528302 0.4471698
## 258     3757 0.2275862 0.7724138
## 259     3758 0.5970149 0.4029851
## 260     3759 0.2635710 0.7364290
## 261     3760 0.2635710 0.7364290
## 262     3761 0.5528302 0.4471698
## 263     3762 0.2635710 0.7364290
## 264     3763 0.2635710 0.7364290
## 265     3764 0.5528302 0.4471698
## 266     3765 0.2635710 0.7364290
## 267     3766 0.5528302 0.4471698
## 268     3767 0.4065934 0.5934066
## 269     3768 0.2635710 0.7364290
## 270     3769 0.2635710 0.7364290
## 271     3770 0.5528302 0.4471698
## 272     3771 0.2635710 0.7364290
## 273     3772 0.5930736 0.4069264
## 274     3773 0.5930736 0.4069264
## 275     3774 0.2635710 0.7364290
## 276     3775 0.5528302 0.4471698
## 277     3776 0.5930736 0.4069264
## 278     3777 0.2635710 0.7364290
## 279     3778 0.3072289 0.6927711
## 280     3779 0.3072289 0.6927711
## 281     3780 0.3072289 0.6927711
## 282     3781 0.4065934 0.5934066
## 283     3782 0.5930736 0.4069264
## 284     3783 0.2275862 0.7724138
## 285     3784 0.3072289 0.6927711
## 286     3785 0.5930736 0.4069264
## 287     3786 0.2635710 0.7364290
## 288     3787 0.4065934 0.5934066
## 289     3788 0.3072289 0.6927711
## 290     3789 0.2635710 0.7364290
## 291     3790 0.2635710 0.7364290
## 292     3791 0.1718750 0.8281250
## 293     3792 0.5528302 0.4471698
## 294     3793 0.5528302 0.4471698
## 295     3794 0.2635710 0.7364290
## 296     3795 0.3380282 0.6619718
## 297     3796 0.2635710 0.7364290
## 298     3797 0.4065934 0.5934066
## 299     3798 0.2142857 0.7857143
## 300     3799 0.3072289 0.6927711
## 301     3800 0.2635710 0.7364290
## 302     3801 0.2635710 0.7364290
## 303     3802 0.1718750 0.8281250
## 304     3803 0.2635710 0.7364290
## 305     3804 0.2635710 0.7364290
## 306     3805 0.5528302 0.4471698
## 307     3806 0.5528302 0.4471698
## 308     3807 0.2635710 0.7364290
## 309     3808 0.2142857 0.7857143
## 310     3809 0.2635710 0.7364290
## 311     3810 0.2635710 0.7364290
## 312     3811 0.5528302 0.4471698
## 313     3812 0.4065934 0.5934066
## 314     3813 0.5528302 0.4471698
## 315     3814 0.2635710 0.7364290
## 316     3815 0.7826087 0.2173913
## 317     3816 0.2635710 0.7364290
## 318     3817 0.2635710 0.7364290
## 319     3818 0.1718750 0.8281250
## 320     3819 0.2635710 0.7364290
## 321     3820 0.2635710 0.7364290
## 322     3821 0.2142857 0.7857143
## 323     3822 0.2635710 0.7364290
## 324     3823 0.2635710 0.7364290
## 325     3824 0.1718750 0.8281250
## 326     3825 0.2142857 0.7857143
## 327     3826 0.1718750 0.8281250
## 328     3827 0.2989691 0.7010309
## 329     3828 0.2635710 0.7364290
## 330     3829 0.4065934 0.5934066
## 331     3830 0.5528302 0.4471698
## 332     3831 0.2635710 0.7364290
## 333     3832 0.2635710 0.7364290
## 334     3833 0.2635710 0.7364290
## 335     3834 0.1718750 0.8281250
## 336     3835 0.2635710 0.7364290
## 337     3836 0.2635710 0.7364290
## 338     3837 0.2635710 0.7364290
## 339     3838 0.5528302 0.4471698
## 340     3839 0.2635710 0.7364290
## 341     3840 0.5930736 0.4069264
## 342     3841 0.2635710 0.7364290
## 343     3842 0.2635710 0.7364290
## 344     3843 0.2635710 0.7364290
## 345     3844 0.5528302 0.4471698
## 346     3845 0.2635710 0.7364290
## 347     3846 0.2635710 0.7364290
## 348     3847 0.2635710 0.7364290
## 349     3848 0.2635710 0.7364290
## 350     3849 0.5930736 0.4069264
## 351     3850 0.2635710 0.7364290
## 352     3851 0.2635710 0.7364290
## 353     3852 0.4065934 0.5934066
## 354     3853 0.2275862 0.7724138
## 355     3854 0.2275862 0.7724138
## 356     3855 0.2635710 0.7364290
## 357     3856 0.4065934 0.5934066
## 358     3857 0.2635710 0.7364290
## 359     3858 0.2635710 0.7364290
## 360     3859 0.5528302 0.4471698
## 361     3860 0.7826087 0.2173913
## 362     3861 0.2635710 0.7364290
## 363     3862 0.2635710 0.7364290
## 364     3863 0.2989691 0.7010309
## 365     3864 0.3380282 0.6619718
## 366     3865 0.5930736 0.4069264
## 367     3866 0.2275862 0.7724138
## 368     3867 0.2275862 0.7724138
## 369     3868 0.5528302 0.4471698
## 370     3869 0.5930736 0.4069264
## 371     3870 0.2635710 0.7364290
## 372     3871 0.2635710 0.7364290
## 373     3872 0.5528302 0.4471698
## 374     3873 0.5970149 0.4029851
## 375     3874 0.5930736 0.4069264
## 376     3875 0.2635710 0.7364290
## 377     3876 0.2635710 0.7364290
## 378     3877 0.2635710 0.7364290
## 379     3878 0.5970149 0.4029851
## 380     3879 0.5528302 0.4471698
## 381     3880 0.5970149 0.4029851
## 382     3881 0.2635710 0.7364290
## 383     3882 0.2635710 0.7364290
## 384     3883 0.3072289 0.6927711
## 385     3884 0.2635710 0.7364290
## 386     3885 0.5528302 0.4471698
## 387     3886 0.3380282 0.6619718
## 388     3887 0.2635710 0.7364290
## 389     3888 0.2635710 0.7364290
## 390     3889 0.2635710 0.7364290
## 391     3890 0.5528302 0.4471698
## 392     3891 0.2635710 0.7364290
## 393     3892 0.2635710 0.7364290
## 394     3893 0.2635710 0.7364290
## 395     3894 0.2635710 0.7364290
## 396     3895 0.2635710 0.7364290
## 397     3896 0.2635710 0.7364290
## 398     3897 0.2635710 0.7364290
## 399     3898 0.5528302 0.4471698
## 400     3899 0.2635710 0.7364290
## 401     3900 0.5930736 0.4069264
## 402     3901 0.2635710 0.7364290
## 403     3902 0.2635710 0.7364290
## 404     3903 0.3072289 0.6927711
## 405     3904 0.2635710 0.7364290
## 406     3905 0.2635710 0.7364290
## 407     3906 0.4065934 0.5934066
## 408     3907 0.2635710 0.7364290
## 409     3908 0.2275862 0.7724138
## 410     3909 0.3380282 0.6619718
## 411     3910 0.2635710 0.7364290
## 412     3911 0.2635710 0.7364290
## 413     3912 0.5528302 0.4471698
## 414     3913 0.5930736 0.4069264
## 415     3914 0.2635710 0.7364290
## 416     3915 0.2635710 0.7364290
## 417     3916 0.2635710 0.7364290
## 418     3917 0.5930736 0.4069264
## 419     3918 0.5528302 0.4471698
## 420     3919 0.2635710 0.7364290
## 421     3920 0.4065934 0.5934066
## 422     3921 0.2635710 0.7364290
## 423     3922 0.4065934 0.5934066
## 424     3923 0.7826087 0.2173913
## 425     3924 0.5528302 0.4471698
## 426     3925 0.2635710 0.7364290
## 427     3926 0.2635710 0.7364290
## 428     3927 0.2635710 0.7364290
## 429     3928 0.3333333 0.6666667
## 430     3929 0.5528302 0.4471698
## 431     3930 0.5930736 0.4069264
## 432     3931 0.2635710 0.7364290
## 433     3932 0.5528302 0.4471698
## 434     3933 0.5528302 0.4471698
## 435     3934 0.2635710 0.7364290
## 436     3935 0.2635710 0.7364290
## 437     3936 0.2635710 0.7364290
## 438     3937 0.2635710 0.7364290
## 439     3938 0.5970149 0.4029851
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## 1809    5308 0.2635710 0.7364290
## 1810    5309 0.5930736 0.4069264
## 1811    5310 0.2635710 0.7364290
## 1812    5311 0.2989691 0.7010309
## 1813    5312 0.2635710 0.7364290
## 1814    5313 0.2635710 0.7364290
## 1815    5314 0.5528302 0.4471698
## 1816    5315 0.2635710 0.7364290
## 1817    5316 0.3072289 0.6927711
## 1818    5317 0.2635710 0.7364290
## 1819    5318 0.3380282 0.6619718
## 1820    5319 0.2275862 0.7724138
## 1821    5320 0.2635710 0.7364290
## 1822    5321 0.3072289 0.6927711
## 1823    5322 0.2635710 0.7364290
## 1824    5323 0.5528302 0.4471698
## 1825    5324 0.4065934 0.5934066
## 1826    5325 0.5970149 0.4029851
## 1827    5326 0.2635710 0.7364290
## 1828    5327 0.4065934 0.5934066
## 1829    5328 0.2635710 0.7364290
## 1830    5329 0.5528302 0.4471698
## 1831    5330 0.2635710 0.7364290
## 1832    5331 0.2635710 0.7364290
## 1833    5332 0.2635710 0.7364290
## 1834    5333 0.2635710 0.7364290
## 1835    5334 0.5528302 0.4471698
## 1836    5335 0.2635710 0.7364290
## 1837    5336 0.5528302 0.4471698
## 1838    5337 0.2635710 0.7364290
## 1839    5338 0.2635710 0.7364290
## 1840    5339 0.2635710 0.7364290
## 1841    5340 0.2635710 0.7364290
## 1842    5341 0.2635710 0.7364290
## 1843    5342 0.5930736 0.4069264
## 1844    5343 0.5970149 0.4029851
## 1845    5344 0.5528302 0.4471698
## 1846    5345 0.2635710 0.7364290
## 1847    5346 0.4065934 0.5934066
## 1848    5347 0.5528302 0.4471698
## 1849    5348 0.2635710 0.7364290
## 1850    5349 0.3072289 0.6927711
## 1851    5350 0.2635710 0.7364290
## 1852    5351 0.2635710 0.7364290
## 1853    5352 0.2989691 0.7010309
## 1854    5353 0.5930736 0.4069264
## 1855    5354 0.5528302 0.4471698
## 1856    5355 0.5528302 0.4471698
## 1857    5356 0.5930736 0.4069264
## 1858    5357 0.5970149 0.4029851
## 1859    5358 0.2635710 0.7364290
## 1860    5359 0.2989691 0.7010309
## 1861    5360 0.2635710 0.7364290
## 1862    5361 0.2635710 0.7364290
## 1863    5362 0.2635710 0.7364290
## 1864    5363 0.5930736 0.4069264
## 1865    5364 0.2635710 0.7364290
## 1866    5365 0.5930736 0.4069264
## 1867    5366 0.4065934 0.5934066
## 1868    5367 0.5930736 0.4069264
## 1869    5368 0.4065934 0.5934066
## 1870    5369 0.2635710 0.7364290
## 1871    5370 0.2635710 0.7364290
## 1872    5371 0.5930736 0.4069264
## 1873    5372 0.4065934 0.5934066
## 1874    5373 0.5930736 0.4069264
## 1875    5374 0.2635710 0.7364290
## 1876    5375 0.2635710 0.7364290
## 1877    5376 0.8666667 0.1333333
## 1878    5377 0.5528302 0.4471698
## 1879    5378 0.1718750 0.8281250
## 1880    5379 0.2635710 0.7364290
## 1881    5380 0.5528302 0.4471698
## 1882    5381 0.2635710 0.7364290
## 1883    5382 0.2635710 0.7364290
## 1884    5383 0.2635710 0.7364290
## 1885    5384 0.5930736 0.4069264
## 1886    5385 0.2635710 0.7364290
## 1887    5386 0.1718750 0.8281250
## 1888    5387 0.5528302 0.4471698
## 1889    5388 0.2635710 0.7364290
## 1890    5389 0.5528302 0.4471698
## 1891    5390 0.4065934 0.5934066
## 1892    5391 0.2635710 0.7364290
## 1893    5392 0.2275862 0.7724138
## 1894    5393 0.2635710 0.7364290
## 1895    5394 0.4065934 0.5934066
## 1896    5395 0.4065934 0.5934066
## 1897    5396 0.5528302 0.4471698
## 1898    5397 0.2635710 0.7364290
## 1899    5398 0.2635710 0.7364290
## 1900    5399 0.2635710 0.7364290
## 1901    5400 0.2635710 0.7364290
## 1902    5401 0.5528302 0.4471698
## 1903    5402 0.3333333 0.6666667
## 1904    5403 0.2635710 0.7364290
## 1905    5404 0.2275862 0.7724138
## 1906    5405 0.2635710 0.7364290
## 1907    5406 0.4065934 0.5934066
## 1908    5407 0.2635710 0.7364290
## 1909    5408 0.2635710 0.7364290
## 1910    5409 0.2635710 0.7364290
## 1911    5410 0.5930736 0.4069264
## 1912    5411 0.1718750 0.8281250
## 1913    5412 0.3333333 0.6666667
## 1914    5413 0.2635710 0.7364290
## 1915    5414 0.2635710 0.7364290
## 1916    5415 0.5528302 0.4471698
## 1917    5416 0.5528302 0.4471698
## 1918    5417 0.3072289 0.6927711
## 1919    5418 0.2635710 0.7364290
## 1920    5419 0.2635710 0.7364290
## 1921    5420 0.5528302 0.4471698
## 1922    5421 0.2635710 0.7364290
## 1923    5422 0.2635710 0.7364290
## 1924    5423 0.2635710 0.7364290
## 1925    5424 0.5528302 0.4471698
## 1926    5425 0.2635710 0.7364290
## 1927    5426 0.2989691 0.7010309
## 1928    5427 0.5528302 0.4471698
## 1929    5428 0.2635710 0.7364290
## 1930    5429 0.5528302 0.4471698
## 1931    5430 0.2635710 0.7364290
## 1932    5431 0.2635710 0.7364290
## 1933    5432 0.2635710 0.7364290
## 1934    5433 0.5930736 0.4069264
## 1935    5434 0.2635710 0.7364290
## 1936    5435 0.2635710 0.7364290
## 1937    5436 0.2635710 0.7364290
## 1938    5437 0.5930736 0.4069264
## 1939    5438 0.5528302 0.4471698
## 1940    5439 0.5528302 0.4471698
## 1941    5440 0.5970149 0.4029851
## 1942    5441 0.2635710 0.7364290
## 1943    5442 0.5930736 0.4069264
## 1944    5443 0.2635710 0.7364290
## 1945    5444 0.2635710 0.7364290
## 1946    5445 0.2635710 0.7364290
## 1947    5446 0.2635710 0.7364290
## 1948    5447 0.2635710 0.7364290
## 1949    5448 0.5930736 0.4069264
## 1950    5449 0.4065934 0.5934066
## 1951    5450 0.5930736 0.4069264
## 1952    5451 0.2635710 0.7364290
## 1953    5452 0.2635710 0.7364290
## 1954    5453 0.1718750 0.8281250
## 1955    5454 0.2635710 0.7364290
## 1956    5455 0.2635710 0.7364290
## 1957    5456 0.5528302 0.4471698
## 1958    5457 0.2635710 0.7364290
## 1959    5458 0.3072289 0.6927711
## 1960    5459 0.5528302 0.4471698
## 1961    5460 0.5528302 0.4471698
## 1962    5461 0.2635710 0.7364290
## 1963    5462 0.4065934 0.5934066
## 1964    5463 0.7826087 0.2173913
## 1965    5464 0.2635710 0.7364290
## 1966    5465 0.2635710 0.7364290
## 1967    5466 0.2635710 0.7364290
## 1968    5467 0.2635710 0.7364290
## 1969    5468 0.2635710 0.7364290
## 1970    5469 0.4065934 0.5934066
## 1971    5470 0.2635710 0.7364290
## 1972    5471 0.5930736 0.4069264
## 1973    5472 0.2635710 0.7364290
## 1974    5473 0.5930736 0.4069264
## 1975    5474 0.2635710 0.7364290
## 1976    5475 0.2635710 0.7364290
## 1977    5476 0.2635710 0.7364290
## 1978    5477 0.2635710 0.7364290
## 1979    5478 0.4065934 0.5934066
## 1980    5479 0.2635710 0.7364290
## 1981    5480 0.2635710 0.7364290
## 1982    5481 0.2635710 0.7364290
## 1983    5482 0.4065934 0.5934066
## 1984    5483 0.2635710 0.7364290
## 1985    5484 0.2635710 0.7364290
## 1986    5485 0.3072289 0.6927711
## 1987    5486 0.2635710 0.7364290
## 1988    5487 0.2635710 0.7364290
## 1989    5488 0.3072289 0.6927711
## 1990    5489 0.2635710 0.7364290
## 1991    5490 0.5528302 0.4471698
## 1992    5491 0.2635710 0.7364290
## 1993    5492 0.3072289 0.6927711
## 1994    5493 0.2635710 0.7364290
## 1995    5494 0.2635710 0.7364290
## 1996    5495 0.5528302 0.4471698
## 1997    5496 0.5528302 0.4471698
## 1998    5497 0.5528302 0.4471698
## 1999    5498 0.2635710 0.7364290
## 2000    5499 0.4065934 0.5934066
## 2001    5500 0.1718750 0.8281250
## 2002    5501 0.5528302 0.4471698
## 2003    5502 0.5528302 0.4471698
## 2004    5503 0.2635710 0.7364290
## 2005    5504 0.2635710 0.7364290
## 2006    5505 0.2989691 0.7010309
## 2007    5506 0.3072289 0.6927711
## 2008    5507 0.4065934 0.5934066
## 2009    5508 0.5930736 0.4069264
## 2010    5509 0.2635710 0.7364290
## 2011    5510 0.2635710 0.7364290
## 2012    5511 0.5528302 0.4471698
## 2013    5512 0.2275862 0.7724138
## 2014    5513 0.5528302 0.4471698
## 2015    5514 0.2635710 0.7364290
## 2016    5515 0.2635710 0.7364290
## 2017    5516 0.2635710 0.7364290
## 2018    5517 0.5528302 0.4471698
## 2019    5518 0.5528302 0.4471698
## 2020    5519 0.5528302 0.4471698
## 2021    5520 0.5528302 0.4471698
## 2022    5521 0.2635710 0.7364290
## 2023    5522 0.5930736 0.4069264
## 2024    5523 0.5528302 0.4471698
## 2025    5524 0.2635710 0.7364290
## 2026    5525 0.5930736 0.4069264
## 2027    5526 0.4065934 0.5934066
## 2028    5527 0.2635710 0.7364290
## 2029    5528 0.5528302 0.4471698
## 2030    5529 0.2635710 0.7364290
## 2031    5530 0.2635710 0.7364290
## 2032    5531 0.2635710 0.7364290
## 2033    5532 0.2635710 0.7364290
## 2034    5533 0.5528302 0.4471698
## 2035    5534 0.2635710 0.7364290
## 2036    5535 0.2635710 0.7364290
## 2037    5536 0.5970149 0.4029851
## 2038    5537 0.2635710 0.7364290
## 2039    5538 0.5930736 0.4069264
## 2040    5539 0.5528302 0.4471698
## 2041    5540 0.3380282 0.6619718
## 2042    5541 0.5930736 0.4069264
## 2043    5542 0.5528302 0.4471698
## 2044    5543 0.2142857 0.7857143
## 2045    5544 0.4065934 0.5934066
## 2046    5545 0.2275862 0.7724138
## 2047    5546 0.2635710 0.7364290
## 2048    5547 0.2635710 0.7364290
## 2049    5548 0.2635710 0.7364290
## 2050    5549 0.2635710 0.7364290
## 2051    5550 0.2635710 0.7364290
## 2052    5551 0.2275862 0.7724138
## 2053    5552 0.3072289 0.6927711
## 2054    5553 0.5930736 0.4069264
## 2055    5554 0.5930736 0.4069264
## 2056    5555 0.2635710 0.7364290
## 2057    5556 0.2635710 0.7364290
## 2058    5557 0.5930736 0.4069264
## 2059    5558 0.5930736 0.4069264
## 2060    5559 0.5528302 0.4471698
## 2061    5560 0.2635710 0.7364290
## 2062    5561 0.2635710 0.7364290
## 2063    5562 0.5930736 0.4069264
## 2064    5563 0.3072289 0.6927711
## 2065    5564 0.4065934 0.5934066
## 2066    5565 0.2635710 0.7364290
## 2067    5566 0.4065934 0.5934066
## 2068    5567 0.2635710 0.7364290
## 2069    5568 0.2635710 0.7364290
## 2070    5569 0.2635710 0.7364290
## 2071    5570 0.5528302 0.4471698
## 2072    5571 0.5930736 0.4069264
## 2073    5572 0.2635710 0.7364290
## 2074    5573 0.3380282 0.6619718
## 2075    5574 0.3072289 0.6927711
## 2076    5575 0.2635710 0.7364290
## 2077    5576 0.2635710 0.7364290
## 2078    5577 0.2635710 0.7364290
## 2079    5578 0.2635710 0.7364290
## 2080    5579 0.5930736 0.4069264
## 2081    5580 0.3072289 0.6927711
## 2082    5581 0.2635710 0.7364290
## 2083    5582 0.5930736 0.4069264
## 2084    5583 0.2635710 0.7364290
## 2085    5584 0.5930736 0.4069264
## 2086    5585 0.3072289 0.6927711
## 2087    5586 0.3072289 0.6927711
## 2088    5587 0.5930736 0.4069264
## 2089    5588 0.2635710 0.7364290
## 2090    5589 0.7826087 0.2173913
## 2091    5590 0.5930736 0.4069264
## 2092    5591 0.2635710 0.7364290
## 2093    5592 0.5930736 0.4069264
## 2094    5593 0.4065934 0.5934066
## 2095    5594 0.3072289 0.6927711
## 2096    5595 0.5970149 0.4029851
## 2097    5596 0.4065934 0.5934066
## 2098    5597 0.5930736 0.4069264
## 2099    5598 0.2635710 0.7364290
## 2100    5599 0.2635710 0.7364290
## 2101    5600 0.5528302 0.4471698
## 2102    5601 0.3380282 0.6619718
## 2103    5602 0.2635710 0.7364290
## 2104    5603 0.5930736 0.4069264
## 2105    5604 0.5930736 0.4069264
## 2106    5605 0.5528302 0.4471698
## 2107    5606 0.5528302 0.4471698
## 2108    5607 0.2635710 0.7364290
## 2109    5608 0.2635710 0.7364290
## 2110    5609 0.5528302 0.4471698
## 2111    5610 0.5528302 0.4471698
## 2112    5611 0.2635710 0.7364290
## 2113    5612 0.2635710 0.7364290
## 2114    5613 0.2635710 0.7364290
## 2115    5614 0.5528302 0.4471698
## 2116    5615 0.2635710 0.7364290
## 2117    5616 0.5930736 0.4069264
## 2118    5617 0.2635710 0.7364290
## 2119    5618 0.2635710 0.7364290
## 2120    5619 0.4065934 0.5934066
## 2121    5620 0.5528302 0.4471698
## 2122    5621 0.2635710 0.7364290
## 2123    5622 0.2989691 0.7010309
## 2124    5623 0.2635710 0.7364290
## 2125    5624 0.2635710 0.7364290
## 2126    5625 0.5930736 0.4069264
## 2127    5626 0.2635710 0.7364290
## 2128    5627 0.2635710 0.7364290
## 2129    5628 0.2275862 0.7724138
## 2130    5629 0.2635710 0.7364290
## 2131    5630 0.4065934 0.5934066
## 2132    5631 0.2635710 0.7364290
## 2133    5632 0.5970149 0.4029851
## 2134    5633 0.2635710 0.7364290
## 2135    5634 0.2635710 0.7364290
## 2136    5635 0.2635710 0.7364290
## 2137    5636 0.5528302 0.4471698
## 2138    5637 0.2635710 0.7364290
## 2139    5638 0.5930736 0.4069264
## 2140    5639 0.2635710 0.7364290
## 2141    5640 0.5528302 0.4471698
## 2142    5641 0.3072289 0.6927711
## 2143    5642 0.2635710 0.7364290
## 2144    5643 0.2635710 0.7364290
## 2145    5644 0.5528302 0.4471698
## 2146    5645 0.2635710 0.7364290
## 2147    5646 0.5930736 0.4069264
## 2148    5647 0.5528302 0.4471698
## 2149    5648 0.2635710 0.7364290
## 2150    5649 0.5970149 0.4029851
## 2151    5650 0.2635710 0.7364290
## 2152    5651 0.2635710 0.7364290
## 2153    5652 0.4065934 0.5934066
## 2154    5653 0.3072289 0.6927711
## 2155    5654 0.5970149 0.4029851
## 2156    5655 0.5528302 0.4471698
## 2157    5656 0.5528302 0.4471698
## 2158    5657 0.3072289 0.6927711
## 2159    5658 0.2635710 0.7364290
## 2160    5659 0.5930736 0.4069264
## 2161    5660 0.2635710 0.7364290
## 2162    5661 0.2989691 0.7010309
## 2163    5662 0.4065934 0.5934066
## 2164    5663 0.5528302 0.4471698
## 2165    5664 0.4065934 0.5934066
## 2166    5665 0.2635710 0.7364290
## 2167    5666 0.5528302 0.4471698
## 2168    5667 0.5930736 0.4069264
## 2169    5668 0.2275862 0.7724138
## 2170    5669 0.2635710 0.7364290
## 2171    5670 0.2635710 0.7364290
## 2172    5671 0.5930736 0.4069264
## 2173    5672 0.3072289 0.6927711
## 2174    5673 0.2635710 0.7364290
## 2175    5674 0.5930736 0.4069264
## 2176    5675 0.2635710 0.7364290
## 2177    5676 0.2635710 0.7364290
## 2178    5677 0.2635710 0.7364290
## 2179    5678 0.5528302 0.4471698
## 2180    5679 0.4065934 0.5934066
## 2181    5680 0.2635710 0.7364290
## 2182    5681 0.2635710 0.7364290
## 2183    5682 0.2635710 0.7364290
## 2184    5683 0.2635710 0.7364290
## 2185    5684 0.5528302 0.4471698
## 2186    5685 0.2635710 0.7364290
## 2187    5686 0.4065934 0.5934066
## 2188    5687 0.5528302 0.4471698
## 2189    5688 0.5528302 0.4471698
## 2190    5689 0.2142857 0.7857143
## 2191    5690 0.5970149 0.4029851
## 2192    5691 0.2635710 0.7364290
## 2193    5692 0.5528302 0.4471698
## 2194    5693 0.5930736 0.4069264
## 2195    5694 0.2635710 0.7364290
## 2196    5695 0.5930736 0.4069264
## 2197    5696 0.7826087 0.2173913
## 2198    5697 0.2635710 0.7364290
## 2199    5698 0.5528302 0.4471698
## 2200    5699 0.1718750 0.8281250
## 2201    5700 0.5528302 0.4471698
## 2202    5701 0.1718750 0.8281250
## 2203    5702 0.4065934 0.5934066
## 2204    5703 0.2635710 0.7364290
## 2205    5704 0.2635710 0.7364290
## 2206    5705 0.2635710 0.7364290
## 2207    5706 0.5528302 0.4471698
## 2208    5707 0.1718750 0.8281250
## 2209    5708 0.5528302 0.4471698
## 2210    5709 0.5930736 0.4069264
## 2211    5710 0.4065934 0.5934066
## 2212    5711 0.5930736 0.4069264
## 2213    5712 0.2635710 0.7364290
## 2214    5713 0.5930736 0.4069264
## 2215    5714 0.2275862 0.7724138
## 2216    5715 0.5528302 0.4471698
## 2217    5716 0.2635710 0.7364290
## 2218    5717 0.2635710 0.7364290
## 2219    5718 0.2635710 0.7364290
## 2220    5719 0.5930736 0.4069264
## 2221    5720 0.2635710 0.7364290
## 2222    5721 0.5528302 0.4471698
## 2223    5722 0.2635710 0.7364290
## 2224    5723 0.2635710 0.7364290
## 2225    5724 0.2635710 0.7364290
## 2226    5725 0.2635710 0.7364290
## 2227    5726 0.2635710 0.7364290
## 2228    5727 0.2635710 0.7364290
## 2229    5728 0.2989691 0.7010309
## 2230    5729 0.2635710 0.7364290
## 2231    5730 0.2635710 0.7364290
## 2232    5731 0.2635710 0.7364290
## 2233    5732 0.5528302 0.4471698
## 2234    5733 0.4065934 0.5934066
## 2235    5734 0.5930736 0.4069264
## 2236    5735 0.2635710 0.7364290
## 2237    5736 0.4065934 0.5934066
## 2238    5737 0.5528302 0.4471698
## 2239    5738 0.2635710 0.7364290
## 2240    5739 0.2635710 0.7364290
## 2241    5740 0.2635710 0.7364290
## 2242    5741 0.2635710 0.7364290
## 2243    5742 0.3072289 0.6927711
## 2244    5743 0.2635710 0.7364290
## 2245    5744 0.2635710 0.7364290
## 2246    5745 0.5930736 0.4069264
## 2247    5746 0.2635710 0.7364290
## 2248    5747 0.2635710 0.7364290
## 2249    5748 0.2635710 0.7364290
## 2250    5749 0.2635710 0.7364290
## 2251    5750 0.2635710 0.7364290
## 2252    5751 0.5930736 0.4069264
## 2253    5752 0.4065934 0.5934066
## 2254    5753 0.2635710 0.7364290
## 2255    5754 0.5528302 0.4471698
## 2256    5755 0.2635710 0.7364290
## 2257    5756 0.2635710 0.7364290
## 2258    5757 0.5930736 0.4069264
## 2259    5758 0.2635710 0.7364290
## 2260    5759 0.5528302 0.4471698
## 2261    5760 0.3072289 0.6927711
## 2262    5761 0.2635710 0.7364290
## 2263    5762 0.5930736 0.4069264
## 2264    5763 0.2635710 0.7364290
## 2265    5764 0.2635710 0.7364290
## 2266    5765 0.2635710 0.7364290
## 2267    5766 0.2635710 0.7364290
## 2268    5767 0.2635710 0.7364290
## 2269    5768 0.2635710 0.7364290
## 2270    5769 0.5528302 0.4471698
## 2271    5770 0.5930736 0.4069264
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