library(meanShiftR)
library(e1071)
## Warning: package 'e1071' was built under R version 4.5.3
library(skimr)
## Warning: package 'skimr' was built under R version 4.5.3
library(cluster)
## Warning: package 'cluster' was built under R version 4.5.3
library(factoextra)
## Warning: package 'factoextra' was built under R version 4.5.3
## Loading required package: ggplot2
##
## Attaching package: 'ggplot2'
## The following object is masked from 'package:e1071':
##
## element
## Welcome to factoextra!
## Want to learn more? See two factoextra-related books at https://www.datanovia.com/en/product/practical-guide-to-principal-component-methods-in-r/
library(dbscan)
## Warning: package 'dbscan' was built under R version 4.5.3
##
## Attaching package: 'dbscan'
## The following object is masked from 'package:stats':
##
## as.dendrogram
library(flexclust)
## Warning: package 'flexclust' was built under R version 4.5.3
##
## Attaching package: 'flexclust'
## The following object is masked from 'package:e1071':
##
## bclust
library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.5.3
## Warning: package 'forcats' was built under R version 4.5.3
## Warning: package 'lubridate' was built under R version 4.5.3
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.2.0 ✔ readr 2.1.6
## ✔ forcats 1.0.1 ✔ stringr 1.6.0
## ✔ lubridate 1.9.5 ✔ tibble 3.3.1
## ✔ purrr 1.2.1 ✔ tidyr 1.3.2
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## ✖ ggplot2::element() masks e1071::element()
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(ggplot2)
library(factoextra)
set.seed(123)
df = read.csv("marketing_campaign.csv", sep = ";")
#Cek data
str(df)
## 'data.frame': 2240 obs. of 29 variables:
## $ ID : int 5524 2174 4141 6182 5324 7446 965 6177 4855 5899 ...
## $ Year_Birth : int 1957 1954 1965 1984 1981 1967 1971 1985 1974 1950 ...
## $ Education : chr "Graduation" "Graduation" "Graduation" "Graduation" ...
## $ Marital_Status : chr "Single" "Single" "Together" "Together" ...
## $ Income : int 58138 46344 71613 26646 58293 62513 55635 33454 30351 5648 ...
## $ Kidhome : int 0 1 0 1 1 0 0 1 1 1 ...
## $ Teenhome : int 0 1 0 0 0 1 1 0 0 1 ...
## $ Dt_Customer : chr "04/09/2012" "08/03/2014" "21/08/2013" "10/02/2014" ...
## $ Recency : int 58 38 26 26 94 16 34 32 19 68 ...
## $ MntWines : int 635 11 426 11 173 520 235 76 14 28 ...
## $ MntFruits : int 88 1 49 4 43 42 65 10 0 0 ...
## $ MntMeatProducts : int 546 6 127 20 118 98 164 56 24 6 ...
## $ MntFishProducts : int 172 2 111 10 46 0 50 3 3 1 ...
## $ MntSweetProducts : int 88 1 21 3 27 42 49 1 3 1 ...
## $ MntGoldProds : int 88 6 42 5 15 14 27 23 2 13 ...
## $ NumDealsPurchases : int 3 2 1 2 5 2 4 2 1 1 ...
## $ NumWebPurchases : int 8 1 8 2 5 6 7 4 3 1 ...
## $ NumCatalogPurchases: int 10 1 2 0 3 4 3 0 0 0 ...
## $ NumStorePurchases : int 4 2 10 4 6 10 7 4 2 0 ...
## $ NumWebVisitsMonth : int 7 5 4 6 5 6 6 8 9 20 ...
## $ AcceptedCmp3 : int 0 0 0 0 0 0 0 0 0 1 ...
## $ AcceptedCmp4 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ AcceptedCmp5 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ AcceptedCmp1 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ AcceptedCmp2 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Complain : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Z_CostContact : int 3 3 3 3 3 3 3 3 3 3 ...
## $ Z_Revenue : int 11 11 11 11 11 11 11 11 11 11 ...
## $ Response : int 1 0 0 0 0 0 0 0 1 0 ...
head(df)
## ID Year_Birth Education Marital_Status Income Kidhome Teenhome Dt_Customer
## 1 5524 1957 Graduation Single 58138 0 0 04/09/2012
## 2 2174 1954 Graduation Single 46344 1 1 08/03/2014
## 3 4141 1965 Graduation Together 71613 0 0 21/08/2013
## 4 6182 1984 Graduation Together 26646 1 0 10/02/2014
## 5 5324 1981 PhD Married 58293 1 0 19/01/2014
## 6 7446 1967 Master Together 62513 0 1 09/09/2013
## Recency MntWines MntFruits MntMeatProducts MntFishProducts MntSweetProducts
## 1 58 635 88 546 172 88
## 2 38 11 1 6 2 1
## 3 26 426 49 127 111 21
## 4 26 11 4 20 10 3
## 5 94 173 43 118 46 27
## 6 16 520 42 98 0 42
## MntGoldProds NumDealsPurchases NumWebPurchases NumCatalogPurchases
## 1 88 3 8 10
## 2 6 2 1 1
## 3 42 1 8 2
## 4 5 2 2 0
## 5 15 5 5 3
## 6 14 2 6 4
## NumStorePurchases NumWebVisitsMonth AcceptedCmp3 AcceptedCmp4 AcceptedCmp5
## 1 4 7 0 0 0
## 2 2 5 0 0 0
## 3 10 4 0 0 0
## 4 4 6 0 0 0
## 5 6 5 0 0 0
## 6 10 6 0 0 0
## AcceptedCmp1 AcceptedCmp2 Complain Z_CostContact Z_Revenue Response
## 1 0 0 0 3 11 1
## 2 0 0 0 3 11 0
## 3 0 0 0 3 11 0
## 4 0 0 0 3 11 0
## 5 0 0 0 3 11 0
## 6 0 0 0 3 11 0
summary(df)
## ID Year_Birth Education Marital_Status
## Min. : 0 Min. :1893 Length:2240 Length:2240
## 1st Qu.: 2828 1st Qu.:1959 Class :character Class :character
## Median : 5458 Median :1970 Mode :character Mode :character
## Mean : 5592 Mean :1969
## 3rd Qu.: 8428 3rd Qu.:1977
## Max. :11191 Max. :1996
##
## Income Kidhome Teenhome Dt_Customer
## Min. : 1730 Min. :0.0000 Min. :0.0000 Length:2240
## 1st Qu.: 35303 1st Qu.:0.0000 1st Qu.:0.0000 Class :character
## Median : 51382 Median :0.0000 Median :0.0000 Mode :character
## Mean : 52247 Mean :0.4442 Mean :0.5062
## 3rd Qu.: 68522 3rd Qu.:1.0000 3rd Qu.:1.0000
## Max. :666666 Max. :2.0000 Max. :2.0000
## NA's :24
## Recency MntWines MntFruits MntMeatProducts
## Min. : 0.00 Min. : 0.00 Min. : 0.0 Min. : 0.0
## 1st Qu.:24.00 1st Qu.: 23.75 1st Qu.: 1.0 1st Qu.: 16.0
## Median :49.00 Median : 173.50 Median : 8.0 Median : 67.0
## Mean :49.11 Mean : 303.94 Mean : 26.3 Mean : 166.9
## 3rd Qu.:74.00 3rd Qu.: 504.25 3rd Qu.: 33.0 3rd Qu.: 232.0
## Max. :99.00 Max. :1493.00 Max. :199.0 Max. :1725.0
##
## MntFishProducts MntSweetProducts MntGoldProds NumDealsPurchases
## Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000
## 1st Qu.: 3.00 1st Qu.: 1.00 1st Qu.: 9.00 1st Qu.: 1.000
## Median : 12.00 Median : 8.00 Median : 24.00 Median : 2.000
## Mean : 37.53 Mean : 27.06 Mean : 44.02 Mean : 2.325
## 3rd Qu.: 50.00 3rd Qu.: 33.00 3rd Qu.: 56.00 3rd Qu.: 3.000
## Max. :259.00 Max. :263.00 Max. :362.00 Max. :15.000
##
## NumWebPurchases NumCatalogPurchases NumStorePurchases NumWebVisitsMonth
## Min. : 0.000 Min. : 0.000 Min. : 0.00 Min. : 0.000
## 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 3.00 1st Qu.: 3.000
## Median : 4.000 Median : 2.000 Median : 5.00 Median : 6.000
## Mean : 4.085 Mean : 2.662 Mean : 5.79 Mean : 5.317
## 3rd Qu.: 6.000 3rd Qu.: 4.000 3rd Qu.: 8.00 3rd Qu.: 7.000
## Max. :27.000 Max. :28.000 Max. :13.00 Max. :20.000
##
## AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1
## Min. :0.00000 Min. :0.00000 Min. :0.00000 Min. :0.00000
## 1st Qu.:0.00000 1st Qu.:0.00000 1st Qu.:0.00000 1st Qu.:0.00000
## Median :0.00000 Median :0.00000 Median :0.00000 Median :0.00000
## Mean :0.07277 Mean :0.07455 Mean :0.07277 Mean :0.06429
## 3rd Qu.:0.00000 3rd Qu.:0.00000 3rd Qu.:0.00000 3rd Qu.:0.00000
## Max. :1.00000 Max. :1.00000 Max. :1.00000 Max. :1.00000
##
## AcceptedCmp2 Complain Z_CostContact Z_Revenue
## Min. :0.00000 Min. :0.000000 Min. :3 Min. :11
## 1st Qu.:0.00000 1st Qu.:0.000000 1st Qu.:3 1st Qu.:11
## Median :0.00000 Median :0.000000 Median :3 Median :11
## Mean :0.01339 Mean :0.009375 Mean :3 Mean :11
## 3rd Qu.:0.00000 3rd Qu.:0.000000 3rd Qu.:3 3rd Qu.:11
## Max. :1.00000 Max. :1.000000 Max. :3 Max. :11
##
## Response
## Min. :0.0000
## 1st Qu.:0.0000
## Median :0.0000
## Mean :0.1491
## 3rd Qu.:0.0000
## Max. :1.0000
##
ncol(df)
## [1] 29
na = colSums(is.na(df))
data.frame(Kolom = names(na), Jumlah_NA = na)
## Kolom Jumlah_NA
## ID ID 0
## Year_Birth Year_Birth 0
## Education Education 0
## Marital_Status Marital_Status 0
## Income Income 24
## Kidhome Kidhome 0
## Teenhome Teenhome 0
## Dt_Customer Dt_Customer 0
## Recency Recency 0
## MntWines MntWines 0
## MntFruits MntFruits 0
## MntMeatProducts MntMeatProducts 0
## MntFishProducts MntFishProducts 0
## MntSweetProducts MntSweetProducts 0
## MntGoldProds MntGoldProds 0
## NumDealsPurchases NumDealsPurchases 0
## NumWebPurchases NumWebPurchases 0
## NumCatalogPurchases NumCatalogPurchases 0
## NumStorePurchases NumStorePurchases 0
## NumWebVisitsMonth NumWebVisitsMonth 0
## AcceptedCmp3 AcceptedCmp3 0
## AcceptedCmp4 AcceptedCmp4 0
## AcceptedCmp5 AcceptedCmp5 0
## AcceptedCmp1 AcceptedCmp1 0
## AcceptedCmp2 AcceptedCmp2 0
## Complain Complain 0
## Z_CostContact Z_CostContact 0
## Z_Revenue Z_Revenue 0
## Response Response 0
df_clean <- df %>% select(-ID, -Year_Birth, -Dt_Customer,-Education, -Marital_Status, -Z_CostContact, -Z_Revenue)
df_clean$Income[is.na(df_clean$Income)] <-
median(df_clean$Income, na.rm = TRUE)
colnames(df_clean)
## [1] "Income" "Kidhome" "Teenhome"
## [4] "Recency" "MntWines" "MntFruits"
## [7] "MntMeatProducts" "MntFishProducts" "MntSweetProducts"
## [10] "MntGoldProds" "NumDealsPurchases" "NumWebPurchases"
## [13] "NumCatalogPurchases" "NumStorePurchases" "NumWebVisitsMonth"
## [16] "AcceptedCmp3" "AcceptedCmp4" "AcceptedCmp5"
## [19] "AcceptedCmp1" "AcceptedCmp2" "Complain"
## [22] "Response"
df_scaled = scale(df_clean)
wss <- sapply(1:10, function(k){
kmeans(df_scaled, centers = k, nstart = 25)$tot.withinss
})
plot(1:10, wss, type="b",
xlab="Jumlah Cluster (k)",
ylab="WSS",
main="Elbow Method")
avg_sil <- function(k){
km <- kmeans(df_scaled, centers = k, nstart = 25)
ss <- silhouette(km$cluster, dist(df_scaled))
mean(ss[,3])
}
k_values <- 2:10
sil_values <- sapply(k_values, avg_sil)
plot(k_values, sil_values, type="b", pch=19,
xlab="Jumlah Cluster (K)",
ylab="Average Silhouette",
main="Silhouette Method")
kmeans_result <- kmeans(df_scaled, centers = 3, nstart = 25)
table(kmeans_result$cluster)
##
## 1 2 3
## 531 1061 648
pca <- prcomp(df_scaled)
pca_data <- as.data.frame(pca$x)
pca_data$cluster <- as.factor(kmeans_result$cluster)
ggplot(pca_data, aes(x = PC1, y = PC2, color = cluster)) +
geom_point(size = 3) +
labs(title = "Visualisasi K-Means Clustering") +
theme_minimal()
df_final <- df_clean
df_final$cluster <- as.factor(kmeans_result$cluster)
table(df_final$cluster)
##
## 1 2 3
## 531 1061 648
cluster_profile_df <- df_final %>%
group_by(cluster) %>%
summarise(across(where(is.numeric), \(x) mean(x, na.rm = TRUE)))
# Tampilkan
print(cluster_profile_df, width = Inf)
## # A tibble: 3 × 23
## cluster Income Kidhome Teenhome Recency MntWines MntFruits MntMeatProducts
## <fct> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 78093. 0.0339 0.126 49.5 622. 68.3 479.
## 2 2 35314. 0.793 0.456 49.3 44.5 4.89 23.9
## 3 3 58761. 0.210 0.900 48.4 468. 27.0 145.
## MntFishProducts MntSweetProducts MntGoldProds NumDealsPurchases
## <dbl> <dbl> <dbl> <dbl>
## 1 101. 70.5 76.6 1.21
## 2 7.25 4.95 15.5 2.10
## 3 34.8 27.6 64.0 3.60
## NumWebPurchases NumCatalogPurchases NumStorePurchases NumWebVisitsMonth
## <dbl> <dbl> <dbl> <dbl>
## 1 5.02 6.15 8.28 2.71
## 2 2.16 0.566 3.24 6.47
## 3 6.47 3.24 7.92 5.57
## AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1 AcceptedCmp2 Complain
## <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 0.0847 0.134 0.290 0.234 0.0358 0.00377
## 2 0.0716 0.00943 0 0.000943 0.00189 0.0123
## 3 0.0648 0.133 0.0139 0.0293 0.0139 0.00926
## Response
## <dbl>
## 1 0.309
## 2 0.0905
## 3 0.114
cluster_profile_df
## # A tibble: 3 × 23
## cluster Income Kidhome Teenhome Recency MntWines MntFruits MntMeatProducts
## <fct> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 78093. 0.0339 0.126 49.5 622. 68.3 479.
## 2 2 35314. 0.793 0.456 49.3 44.5 4.89 23.9
## 3 3 58761. 0.210 0.900 48.4 468. 27.0 145.
## # ℹ 15 more variables: MntFishProducts <dbl>, MntSweetProducts <dbl>,
## # MntGoldProds <dbl>, NumDealsPurchases <dbl>, NumWebPurchases <dbl>,
## # NumCatalogPurchases <dbl>, NumStorePurchases <dbl>,
## # NumWebVisitsMonth <dbl>, AcceptedCmp3 <dbl>, AcceptedCmp4 <dbl>,
## # AcceptedCmp5 <dbl>, AcceptedCmp1 <dbl>, AcceptedCmp2 <dbl>, Complain <dbl>,
## # Response <dbl>
kmedian_model <- kcca(df_scaled, k = 3, family = kccaFamily("kmedians"))
kmedian_model
## kcca object of family 'kmedians'
##
## call:
## kcca(x = df_scaled, k = 3, family = kccaFamily("kmedians"))
##
## cluster sizes:
##
## 1 2 3
## 978 598 664
df_clean$cluster_kmedian <- clusters(kmedian_model)
table(df_clean$cluster_kmedian)
##
## 1 2 3
## 978 598 664
fviz_cluster(list(data = df_scaled, cluster = df_clean$cluster_kmedian))
# Mencariari eps
kNNdistplot(df_scaled, k = 4)
abline(h = 2, col = "red", lty = 2)
db_model <- dbscan(df_scaled, eps = 2, minPts = 4)
db_model
## DBSCAN clustering for 2240 objects.
## Parameters: eps = 2, minPts = 4
## Using euclidean distances and borderpoints = TRUE
## The clustering contains 14 cluster(s) and 801 noise points.
##
## 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
## 801 1238 69 4 7 25 6 26 34 5 4 8 5 4 4
##
## Available fields: cluster, eps, minPts, metric, borderPoints
df_clean$cluster_dbscan <- db_model$cluster
table(df_clean$cluster_dbscan)
##
## 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
## 801 1238 69 4 7 25 6 26 34 5 4 8 5 4 4
fviz_cluster(db_model, data = df_scaled, stand = FALSE)
C_values <- 2:10
best_sil_fcm <- -Inf
best_C <- NA
best_fcm_result <- NULL
for (c in C_values) {
set.seed(123)
fcm <- cmeans(df_scaled, centers = c, m = 2, iter.max = 100)
hard_cl <- fcm$cluster
if (length(unique(hard_cl)) >= 2) {
sil <- silhouette(hard_cl, dist(df_scaled))
avg_sil <- mean(sil[, 3])
if (avg_sil > best_sil_fcm) {
best_sil_fcm <- avg_sil
best_C <- c
best_fcm_result <- fcm
}
}
}
cat("cluster terbaik (C):", best_C, "\n")
## cluster terbaik (C): 2
cat("Silhouette score:", best_sil_fcm, "\n")
## Silhouette score: 0.2656615
pc_values <- c()
pe_values <- c()
for (c in C_values) {
set.seed(123)
fcm <- cmeans(df_scaled, centers = c, m = 2, iter.max = 100)
U <- fcm$membership
n <- nrow(U)
pc <- sum(U^2) / n
pe <- -sum(U * log(U + 1e-10)) / n
pc_values <- c(pc_values, pc)
pe_values <- c(pe_values, pe)
}
plot(C_values, pc_values, type = "b", main = "Partition Coefficient (semakin tinggi semakin baik)")
plot(C_values, pe_values, type = "b", main = "Partition Entropy (semakin rendah semakin baik)")
fcm_result <- cmeans(df_scaled, centers = 3, m = 2, iter.max = 100)
print(fcm_result)
## Fuzzy c-means clustering with 3 clusters
##
## Cluster centers:
## Income Kidhome Teenhome Recency MntWines MntFruits
## 1 0.4080762 -0.4142531 0.03608234 -0.005362214 0.4429080 0.3421791
## 2 0.4163372 -0.4194286 0.02797972 -0.005045658 0.4511389 0.3535143
## 3 -0.5676705 0.5992291 -0.10333370 0.019552153 -0.6098092 -0.4440450
## MntMeatProducts MntFishProducts MntSweetProducts MntGoldProds
## 1 0.3887377 0.3526202 0.3395327 0.3278800
## 2 0.4016245 0.3646235 0.3506998 0.3342209
## 3 -0.5120466 -0.4576408 -0.4409188 -0.4600382
## NumDealsPurchases NumWebPurchases NumCatalogPurchases NumStorePurchases
## 1 0.01951444 0.3835771 0.4402543 0.4729304
## 2 0.01319022 0.3860770 0.4512117 0.4801776
## 3 -0.09024572 -0.5542656 -0.5984873 -0.6321861
## NumWebVisitsMonth AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1
## 1 -0.3183891 0.04408613 0.1042138 0.1408463 0.1239496
## 2 -0.3279885 0.04426933 0.1051919 0.1461670 0.1282213
## 3 0.4149405 -0.12397501 -0.1836970 -0.2080798 -0.1898359
## AcceptedCmp2 Complain Response
## 1 0.03205518 0.01357141 0.1101936
## 2 0.03270044 0.01368520 0.1130967
## 3 -0.06966600 -0.04734516 -0.2142622
##
## Memberships:
## 1 2 3
## [1,] 0.40090672 0.40401692 0.1950764
## [2,] 0.12134134 0.11968485 0.7589738
## [3,] 0.42248743 0.42398895 0.1535236
## [4,] 0.10085126 0.09960250 0.7995462
## [5,] 0.32454456 0.32150975 0.3539457
## [6,] 0.40972456 0.40558954 0.1846859
## [7,] 0.41706440 0.41166125 0.1712743
## [8,] 0.11337182 0.11183695 0.7747912
## [9,] 0.22523272 0.22335056 0.5514167
## [10,] 0.28308992 0.28168750 0.4352226
## [11,] 0.14926615 0.14771034 0.7030235
## [12,] 0.17960268 0.17766553 0.6427318
## [13,] 0.39430367 0.39757588 0.2081205
## [14,] 0.22208557 0.21793953 0.5599749
## [15,] 0.17107368 0.16921819 0.6597081
## [16,] 0.38405743 0.38579171 0.2301509
## [17,] 0.11032355 0.10863516 0.7810413
## [18,] 0.31502322 0.31256760 0.3724092
## [19,] 0.39042298 0.39166330 0.2179137
## [20,] 0.14856187 0.14686224 0.7045759
## [21,] 0.28214242 0.27879679 0.4390608
## [22,] 0.34267005 0.34285024 0.3144797
## [23,] 0.35030346 0.34829534 0.3014012
## [24,] 0.38170915 0.37718448 0.2411064
## [25,] 0.33166213 0.32770606 0.3406318
## [26,] 0.19343171 0.19126788 0.6153004
## [27,] 0.23207529 0.22853101 0.5393937
## [28,] 0.34966564 0.34989993 0.3004344
## [29,] 0.17318946 0.17123488 0.6555757
## [30,] 0.39206199 0.39485813 0.2130799
## [31,] 0.18203510 0.17988006 0.6380848
## [32,] 0.32493435 0.32259716 0.3524685
## [33,] 0.29804204 0.29558973 0.4063682
## [34,] 0.33780349 0.33510663 0.3270899
## [35,] 0.40752863 0.41017742 0.1822940
## [36,] 0.11024432 0.10869792 0.7810578
## [37,] 0.40984311 0.40818405 0.1819728
## [38,] 0.12324202 0.12171698 0.7550410
## [39,] 0.22418532 0.22142894 0.5543857
## [40,] 0.37725394 0.37808750 0.2446586
## [41,] 0.40485765 0.40775608 0.1873863
## [42,] 0.13560677 0.13411202 0.7302812
## [43,] 0.21381643 0.21149886 0.5746847
## [44,] 0.28791824 0.28552542 0.4265563
## [45,] 0.14729086 0.14566147 0.7070477
## [46,] 0.38621124 0.38872695 0.2250618
## [47,] 0.27196530 0.26975484 0.4582799
## [48,] 0.17171677 0.17002750 0.6582557
## [49,] 0.21826225 0.21615520 0.5655825
## [50,] 0.37274981 0.37140002 0.2558502
## [51,] 0.40089805 0.39876990 0.2003320
## [52,] 0.39962255 0.40279113 0.1975863
## [53,] 0.07928446 0.07828449 0.8424311
## [54,] 0.38005083 0.38203796 0.2379112
## [55,] 0.36367652 0.36064329 0.2756802
## [56,] 0.39222803 0.39522250 0.2125495
## [57,] 0.40954406 0.41351313 0.1769428
## [58,] 0.15939157 0.15776496 0.6828435
## [59,] 0.08975126 0.08859215 0.8216566
## [60,] 0.34580864 0.33961416 0.3145772
## [61,] 0.38238479 0.38408209 0.2335331
## [62,] 0.36161029 0.35822849 0.2801612
## [63,] 0.39787711 0.39535682 0.2067661
## [64,] 0.37173534 0.36743468 0.2608300
## [65,] 0.41165580 0.41515590 0.1731883
## [66,] 0.21863671 0.21686583 0.5644975
## [67,] 0.16488411 0.16303158 0.6720843
## [68,] 0.38035038 0.38158013 0.2380695
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## [70,] 0.37211089 0.37129245 0.2565967
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## [72,] 0.13038502 0.12868169 0.7409333
## [73,] 0.41227127 0.41297239 0.1747563
## [74,] 0.34467534 0.34251866 0.3128060
## [75,] 0.24122351 0.23885484 0.5199217
## [76,] 0.10956858 0.10835858 0.7820728
## [77,] 0.39660940 0.39948146 0.2039091
## [78,] 0.39226613 0.39513679 0.2125971
## [79,] 0.32305987 0.32258815 0.3543520
## [80,] 0.35326195 0.35209214 0.2946459
## [81,] 0.16025439 0.15826570 0.6814799
## [82,] 0.14887421 0.14737453 0.7037513
## [83,] 0.13478136 0.13315493 0.7320637
## [84,] 0.32493435 0.32259716 0.3524685
## [85,] 0.40557054 0.40857946 0.1858500
## [86,] 0.15494656 0.15304469 0.6920087
## [87,] 0.27811743 0.27561357 0.4462690
## [88,] 0.34465006 0.34354117 0.3118088
## [89,] 0.39745556 0.40093155 0.2016129
## [90,] 0.29275029 0.28930908 0.4179406
## [91,] 0.32972945 0.32826194 0.3420086
## [92,] 0.12101091 0.11945175 0.7595373
## [93,] 0.39914531 0.40107067 0.1997840
## [94,] 0.10693228 0.10571310 0.7873546
## [95,] 0.14114589 0.13946199 0.7193921
## [96,] 0.10071356 0.09952951 0.7997569
## [97,] 0.35803970 0.35561278 0.2863475
## [98,] 0.10937808 0.10777173 0.7828502
## [99,] 0.38681578 0.38861425 0.2245700
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## [101,] 0.21816817 0.21534994 0.5664819
## [102,] 0.16394978 0.16144516 0.6746051
## [103,] 0.40166181 0.40454290 0.1937953
## [104,] 0.43788989 0.44305569 0.1190544
## [105,] 0.39257365 0.39525867 0.2121677
## [106,] 0.15719717 0.15565050 0.6871523
## [107,] 0.18403797 0.18114379 0.6348182
## [108,] 0.40206557 0.40237158 0.1955628
## [109,] 0.12009164 0.11852894 0.7613794
## [110,] 0.38097049 0.38235197 0.2366775
## [111,] 0.42957457 0.43306273 0.1373627
## [112,] 0.37633616 0.37674515 0.2469187
## [113,] 0.35914042 0.35669311 0.2841665
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## [115,] 0.30340370 0.29964478 0.3969515
## [116,] 0.12476199 0.12286045 0.7523776
## [117,] 0.38164380 0.38417330 0.2341829
## [118,] 0.35413262 0.35351936 0.2923480
## [119,] 0.14892734 0.14700090 0.7040718
## [120,] 0.09002365 0.08893004 0.8210463
## [121,] 0.42770528 0.42420740 0.1480873
## [122,] 0.23822145 0.23614077 0.5256378
## [123,] 0.16960063 0.16810906 0.6622903
## [124,] 0.12608318 0.12473160 0.7491852
## [125,] 0.37910155 0.38069110 0.2402073
## [126,] 0.39208649 0.39266724 0.2152463
## [127,] 0.38713833 0.38977362 0.2230880
## [128,] 0.11159719 0.10987563 0.7785272
## [129,] 0.31742249 0.31134509 0.3712324
## [130,] 0.37641813 0.37212302 0.2514588
## [131,] 0.39540510 0.39317110 0.2114238
## [132,] 0.33161603 0.32786559 0.3405184
## [133,] 0.40830401 0.40992981 0.1817662
## [134,] 0.41545241 0.41603692 0.1685107
## [135,] 0.20618655 0.20279346 0.5910200
## [136,] 0.38915772 0.39054700 0.2202953
## [137,] 0.12462302 0.12326718 0.7521098
## [138,] 0.18517346 0.18325101 0.6315755
## [139,] 0.28546206 0.28363071 0.4309072
## [140,] 0.10925117 0.10772387 0.7830250
## [141,] 0.40971894 0.41376021 0.1765208
## [142,] 0.37946502 0.37765899 0.2428760
## [143,] 0.41674396 0.42106189 0.1621941
## [144,] 0.43517523 0.43081086 0.1340139
## [145,] 0.27624156 0.27368797 0.4500705
## [146,] 0.36160811 0.35775163 0.2806403
## [147,] 0.21895667 0.21709216 0.5639512
## [148,] 0.31697876 0.31638464 0.3666366
## [149,] 0.25486145 0.25254784 0.4925907
## [150,] 0.24957881 0.24689948 0.5035217
## [151,] 0.36649693 0.36319313 0.2703099
## [152,] 0.35302390 0.35080325 0.2961729
## [153,] 0.33987672 0.33400334 0.3261199
## [154,] 0.16047982 0.15844444 0.6810757
## [155,] 0.40807850 0.40552057 0.1864009
## [156,] 0.37606708 0.37685639 0.2470765
## [157,] 0.29013104 0.28549176 0.4243772
## [158,] 0.24250017 0.24009948 0.5174003
## [159,] 0.30542897 0.30251969 0.3920513
## [160,] 0.41629390 0.42100351 0.1627026
## [161,] 0.20045461 0.19869051 0.6008549
## [162,] 0.40560245 0.40657066 0.1878269
## [163,] 0.16407796 0.16216136 0.6737607
## [164,] 0.40297380 0.40361711 0.1934091
## [165,] 0.35125009 0.35156329 0.2971866
## [166,] 0.19970329 0.19764608 0.6026506
## [167,] 0.36767360 0.36776624 0.2645602
## [168,] 0.32414638 0.32232615 0.3535275
## [169,] 0.39799961 0.40158015 0.2004202
## [170,] 0.15246879 0.15038970 0.6971415
## [171,] 0.09507192 0.09375875 0.8111693
## [172,] 0.11324884 0.11191320 0.7748380
## [173,] 0.21444001 0.21268859 0.5728714
## [174,] 0.15674092 0.15452972 0.6887294
## [175,] 0.30520871 0.30311541 0.3916759
## [176,] 0.41903100 0.42233938 0.1586296
## [177,] 0.38363155 0.38535858 0.2310099
## [178,] 0.14077732 0.13893366 0.7202890
## [179,] 0.23165584 0.22993969 0.5384045
## [180,] 0.38681578 0.38861425 0.2245700
## [181,] 0.24930018 0.24543569 0.5052641
## [182,] 0.12452804 0.12305911 0.7524129
## [183,] 0.41705428 0.41915502 0.1637907
## [184,] 0.12929900 0.12787310 0.7428279
## [185,] 0.18302005 0.18095298 0.6360270
## [186,] 0.12246566 0.12115733 0.7563770
## [187,] 0.18083047 0.17824984 0.6409197
## [188,] 0.39157832 0.38606556 0.2223561
## [189,] 0.41242035 0.41701058 0.1705691
## [190,] 0.13892143 0.13702269 0.7240559
## [191,] 0.25759058 0.25589321 0.4865162
## [192,] 0.41458162 0.41896384 0.1664545
## [193,] 0.32104586 0.32055196 0.3584022
## [194,] 0.15076438 0.14902782 0.7002078
## [195,] 0.21943691 0.21529265 0.5652704
## [196,] 0.12585694 0.12424006 0.7499030
## [197,] 0.40524482 0.40491789 0.1898373
## [198,] 0.38314893 0.38543111 0.2314200
## [199,] 0.39346119 0.39619158 0.2103472
## [200,] 0.31305168 0.31107430 0.3758740
## [201,] 0.36185042 0.35940749 0.2787421
## [202,] 0.39867648 0.40227383 0.1990497
## [203,] 0.42850448 0.42989005 0.1416055
## [204,] 0.37750728 0.37918511 0.2433076
## [205,] 0.11271062 0.11118640 0.7761030
## [206,] 0.29455439 0.29313406 0.4123115
## [207,] 0.25638668 0.25469490 0.4889184
## [208,] 0.26156456 0.25752127 0.4809142
## [209,] 0.21925667 0.21657144 0.5641719
## [210,] 0.38307112 0.38342296 0.2335059
## [211,] 0.31464986 0.31044494 0.3749052
## [212,] 0.41427411 0.41772356 0.1680023
## [213,] 0.26734955 0.26416102 0.4684894
## [214,] 0.32604632 0.32328233 0.3506714
## [215,] 0.39240249 0.39533019 0.2122673
## [216,] 0.30507341 0.30200633 0.3929203
## [217,] 0.20737404 0.20555409 0.5870719
## [218,] 0.38326497 0.38483262 0.2319024
## [219,] 0.25798653 0.25328571 0.4887278
## [220,] 0.40146537 0.40138133 0.1971533
## [221,] 0.20806654 0.20619233 0.5857411
## [222,] 0.40736884 0.40994408 0.1826871
## [223,] 0.38131111 0.37910016 0.2395887
## [224,] 0.13421128 0.13234087 0.7334478
## [225,] 0.41552729 0.41455272 0.1699200
## [226,] 0.13208777 0.13018544 0.7377268
## [227,] 0.35118654 0.34830495 0.3005085
## [228,] 0.37321626 0.36977036 0.2570134
## [229,] 0.41386928 0.41867152 0.1674592
## [230,] 0.11259454 0.11136822 0.7760372
## [231,] 0.32177901 0.31927395 0.3589470
## [232,] 0.38181924 0.38335572 0.2348250
## [233,] 0.11176198 0.11053402 0.7777040
## [234,] 0.20692595 0.20492217 0.5881519
## [235,] 0.41854248 0.41863854 0.1628190
## [236,] 0.08249853 0.08144656 0.8360549
## [237,] 0.09867272 0.09755987 0.8037674
## [238,] 0.40134711 0.39833615 0.2003167
## [239,] 0.13619937 0.13453811 0.7292625
## [240,] 0.22762724 0.22492702 0.5474457
## [241,] 0.38953859 0.39215414 0.2183073
## [242,] 0.40296099 0.40497557 0.1920634
## [243,] 0.13489242 0.13347273 0.7316349
## [244,] 0.38347368 0.38583688 0.2306894
## [245,] 0.38884085 0.38723082 0.2239283
## [246,] 0.10821183 0.10675041 0.7850378
## [247,] 0.36415539 0.36486356 0.2709810
## [248,] 0.42310847 0.42463428 0.1522572
## [249,] 0.39820711 0.40178466 0.2000082
## [250,] 0.40758103 0.40927845 0.1831405
## [251,] 0.08689271 0.08581142 0.8272959
## [252,] 0.08130950 0.08032043 0.8383701
## [253,] 0.36031278 0.36123906 0.2784482
## [254,] 0.25628349 0.25346395 0.4902526
## [255,] 0.39136080 0.38984441 0.2187948
## [256,] 0.09147940 0.09038295 0.8181377
## [257,] 0.37250279 0.37077049 0.2567267
## [258,] 0.34067113 0.33650288 0.3228260
## [259,] 0.18284690 0.18057316 0.6365799
## [260,] 0.18602689 0.18428268 0.6296904
## [261,] 0.27379988 0.27221534 0.4539848
## [262,] 0.38986253 0.38729655 0.2228409
## [263,] 0.21574017 0.21284086 0.5714190
## [264,] 0.12828489 0.12691124 0.7448039
## [265,] 0.28891850 0.28603665 0.4250449
## [266,] 0.13433983 0.13223860 0.7334216
## [267,] 0.38724572 0.38964883 0.2231054
## [268,] 0.29954468 0.29754443 0.4029109
## [269,] 0.39531509 0.39849822 0.2061867
## [270,] 0.14292460 0.14132861 0.7157468
## [271,] 0.40256379 0.40511929 0.1923169
## [272,] 0.32168055 0.32112777 0.3571917
## [273,] 0.28739585 0.28309667 0.4295075
## [274,] 0.12142132 0.11960967 0.7589690
## [275,] 0.09946744 0.09794249 0.8025901
## [276,] 0.39913740 0.39615314 0.2047095
## [277,] 0.39848084 0.40119488 0.2003243
## [278,] 0.38374041 0.38596493 0.2302947
## [279,] 0.37805242 0.37966808 0.2422795
## [280,] 0.40839838 0.40588831 0.1857133
## [281,] 0.10790879 0.10648516 0.7856060
## [282,] 0.35118654 0.34830495 0.3005085
## [283,] 0.31502322 0.31256760 0.3724092
## [284,] 0.38330839 0.37915600 0.2375356
## [285,] 0.13979024 0.13786854 0.7223412
## [286,] 0.11482618 0.11348005 0.7716938
## [287,] 0.41627590 0.42062332 0.1631008
## [288,] 0.35963851 0.35903470 0.2813268
## [289,] 0.39070296 0.39387428 0.2154228
## [290,] 0.28013166 0.27594836 0.4439200
## [291,] 0.27790135 0.27609662 0.4460020
## [292,] 0.10886466 0.10740743 0.7837279
## [293,] 0.38843587 0.39119685 0.2203673
## [294,] 0.19021161 0.18853227 0.6212561
## [295,] 0.16117749 0.15935664 0.6794659
## [296,] 0.34662017 0.34640741 0.3069724
## [297,] 0.11938807 0.11806181 0.7625501
## [298,] 0.10093142 0.09966598 0.7994026
## [299,] 0.40133134 0.40223500 0.1964337
## [300,] 0.37566354 0.37408814 0.2502483
## [301,] 0.13310808 0.13103000 0.7358619
## [302,] 0.39337451 0.38851892 0.2181066
## [303,] 0.17193793 0.17016322 0.6578989
## [304,] 0.16437625 0.16195081 0.6736729
## [305,] 0.10191292 0.10057544 0.7975116
## [306,] 0.38779540 0.39049762 0.2217070
## [307,] 0.26452585 0.26242454 0.4730496
## [308,] 0.38293931 0.38447138 0.2325893
## [309,] 0.34921884 0.34719557 0.3035856
## [310,] 0.26750728 0.26432975 0.4681630
## [311,] 0.16168480 0.15982203 0.6784932
## [312,] 0.17801674 0.17621976 0.6457635
## [313,] 0.38466864 0.38651972 0.2288116
## [314,] 0.43282801 0.43906249 0.1281095
## [315,] 0.26426174 0.26072478 0.4750135
## [316,] 0.14283242 0.14098967 0.7161779
## [317,] 0.09441360 0.09294071 0.8126457
## [318,] 0.34893640 0.34682246 0.3042411
## [319,] 0.11525908 0.11370833 0.7710326
## [320,] 0.35201813 0.35126620 0.2967157
## [321,] 0.40996353 0.40770854 0.1823279
## [322,] 0.12399823 0.12267734 0.7533244
## [323,] 0.16140218 0.15951531 0.6790825
## [324,] 0.41207405 0.41068956 0.1772364
## [325,] 0.35801201 0.35348646 0.2885015
## [326,] 0.41547177 0.41796536 0.1665629
## [327,] 0.11276461 0.11138830 0.7758471
## [328,] 0.15171873 0.15016891 0.6981124
## [329,] 0.20393220 0.20206821 0.5939996
## [330,] 0.14457377 0.14268557 0.7127407
## [331,] 0.12968262 0.12833653 0.7419809
## [332,] 0.19023415 0.18809734 0.6216685
## [333,] 0.38212537 0.38042410 0.2374505
## [334,] 0.28180280 0.28029532 0.4379019
## [335,] 0.09261070 0.09148962 0.8158997
## [336,] 0.40459099 0.40585383 0.1895552
## [337,] 0.37543834 0.37693901 0.2476226
## [338,] 0.13688493 0.13541869 0.7276964
## [339,] 0.39769049 0.40040629 0.2019032
## [340,] 0.38900362 0.39179405 0.2192023
## [341,] 0.40381992 0.40735590 0.1888242
## [342,] 0.22474289 0.22218129 0.5530758
## [343,] 0.34287519 0.34249635 0.3146285
## [344,] 0.38562777 0.38063165 0.2337406
## [345,] 0.27503430 0.27350749 0.4514582
## [346,] 0.38907681 0.39178621 0.2191370
## [347,] 0.10776469 0.10626649 0.7859688
## [348,] 0.38515669 0.38754429 0.2272990
## [349,] 0.10443418 0.10292066 0.7926452
## [350,] 0.25563315 0.25395969 0.4904072
## [351,] 0.41517367 0.41371050 0.1711158
## [352,] 0.37931781 0.38087343 0.2398088
## [353,] 0.39166498 0.39219037 0.2161447
## [354,] 0.40962739 0.41316554 0.1772071
## [355,] 0.37715931 0.37446495 0.2483757
## [356,] 0.31961456 0.31894724 0.3614382
## [357,] 0.29483334 0.29246367 0.4127030
## [358,] 0.40254427 0.40639700 0.1910587
## [359,] 0.34012475 0.34006252 0.3198127
## [360,] 0.34589534 0.34205404 0.3120506
## [361,] 0.38672965 0.38947326 0.2237971
## [362,] 0.39146434 0.38523581 0.2232999
## [363,] 0.19156269 0.18985684 0.6185805
## [364,] 0.12828489 0.12691124 0.7448039
## [365,] 0.31604607 0.31189599 0.3720579
## [366,] 0.40581130 0.40198449 0.1922042
## [367,] 0.40344452 0.40692925 0.1896262
## [368,] 0.11252345 0.11119437 0.7762822
## [369,] 0.39970968 0.40297825 0.1973121
## [370,] 0.35804583 0.35356309 0.2883911
## [371,] 0.10153417 0.10038008 0.7980857
## [372,] 0.23572294 0.23225847 0.5320186
## [373,] 0.25967157 0.25799660 0.4823318
## [374,] 0.38079174 0.37987426 0.2393340
## [375,] 0.24352478 0.24108668 0.5153885
## [376,] 0.18101151 0.17849320 0.6404953
## [377,] 0.29432001 0.29280304 0.4128770
## [378,] 0.13811807 0.13666193 0.7252200
## [379,] 0.40531912 0.40501604 0.1896648
## [380,] 0.14417305 0.14269028 0.7131367
## [381,] 0.17281657 0.17134474 0.6558387
## [382,] 0.12671331 0.12541191 0.7478748
## [383,] 0.30336788 0.30001774 0.3966144
## [384,] 0.25486145 0.25254784 0.4925907
## [385,] 0.16367709 0.16211441 0.6742085
## [386,] 0.14033865 0.13880771 0.7208536
## [387,] 0.35109435 0.34938627 0.2995194
## [388,] 0.41738087 0.41860300 0.1640161
## [389,] 0.18119559 0.17840811 0.6403963
## [390,] 0.38751718 0.38561166 0.2268712
## [391,] 0.39005099 0.39304517 0.2169038
## [392,] 0.24277918 0.24015848 0.5170623
## [393,] 0.41000175 0.41443626 0.1755620
## [394,] 0.24198665 0.23888786 0.5191255
## [395,] 0.41436523 0.41190101 0.1737338
## [396,] 0.41785647 0.42209041 0.1600531
## [397,] 0.17197994 0.16932662 0.6586934
## [398,] 0.21186841 0.21004813 0.5780835
## [399,] 0.11129148 0.11007446 0.7786341
## [400,] 0.24369485 0.24162525 0.5146799
## [401,] 0.14606895 0.14401568 0.7099154
## [402,] 0.41052235 0.41326870 0.1762090
## [403,] 0.20460313 0.20167059 0.5937263
## [404,] 0.30362877 0.30054520 0.3958260
## [405,] 0.33478529 0.33308818 0.3321265
## [406,] 0.11436513 0.11283208 0.7728028
## [407,] 0.22630933 0.22425994 0.5494307
## [408,] 0.25390309 0.25015082 0.4959461
## [409,] 0.14213109 0.14058556 0.7172834
## [410,] 0.33989591 0.33572267 0.3243814
## [411,] 0.22817332 0.22616887 0.5456578
## [412,] 0.40088700 0.40096623 0.1981468
## [413,] 0.38470420 0.38524008 0.2300557
## [414,] 0.31878826 0.31681603 0.3643957
## [415,] 0.42643550 0.42602013 0.1475444
## [416,] 0.39847769 0.40096310 0.2005592
## [417,] 0.26705970 0.26520791 0.4677324
## [418,] 0.35246491 0.35290912 0.2946260
## [419,] 0.38599328 0.38847370 0.2255330
## [420,] 0.33890627 0.33637921 0.3247145
## [421,] 0.12035824 0.11892523 0.7607165
## [422,] 0.10071356 0.09952951 0.7997569
## [423,] 0.12906613 0.12773672 0.7431971
## [424,] 0.38023187 0.38179313 0.2379750
## [425,] 0.38738122 0.38960935 0.2230094
## [426,] 0.23163435 0.22931532 0.5390503
## [427,] 0.38211992 0.38443286 0.2334472
## [428,] 0.36038044 0.36050415 0.2791154
## [429,] 0.11937766 0.11803826 0.7625841
## [430,] 0.39686298 0.39855773 0.2045793
## [431,] 0.35155011 0.35196346 0.2964864
## [432,] 0.33804375 0.33581182 0.3261444
## [433,] 0.36272112 0.36250058 0.2747783
## [434,] 0.42581310 0.42769057 0.1464963
## [435,] 0.11198824 0.11065993 0.7773518
## [436,] 0.19330589 0.19064983 0.6160443
## [437,] 0.41112392 0.40801003 0.1808660
## [438,] 0.32280075 0.31836569 0.3588336
## [439,] 0.13681188 0.13513791 0.7280502
## [440,] 0.16228402 0.16065228 0.6770637
## [441,] 0.10303792 0.10188156 0.7950805
## [442,] 0.26300993 0.25898786 0.4780022
## [443,] 0.19774534 0.19583396 0.6064207
## [444,] 0.13811807 0.13666193 0.7252200
## [445,] 0.20367395 0.20171323 0.5946128
## [446,] 0.17325887 0.17142834 0.6553128
## [447,] 0.17962687 0.17746778 0.6429053
## [448,] 0.37440854 0.37620154 0.2493899
## [449,] 0.14303217 0.14145423 0.7155136
## [450,] 0.37600384 0.37254410 0.2514521
## [451,] 0.41838104 0.41723570 0.1643833
## [452,] 0.42041737 0.41985062 0.1597320
## [453,] 0.13660791 0.13505555 0.7283365
## [454,] 0.36294093 0.36047641 0.2765827
## [455,] 0.41678488 0.41491629 0.1682988
## [456,] 0.30035091 0.29730499 0.4023441
## [457,] 0.37987617 0.38192480 0.2381990
## [458,] 0.31112900 0.30942171 0.3794493
## [459,] 0.32682587 0.32254589 0.3506282
## [460,] 0.40358718 0.40775453 0.1886583
## [461,] 0.35952345 0.35870375 0.2817728
## [462,] 0.38915544 0.39176052 0.2190840
## [463,] 0.20680900 0.20338632 0.5898047
## [464,] 0.38724572 0.38964883 0.2231054
## [465,] 0.09587906 0.09456961 0.8095513
## [466,] 0.40089274 0.40309630 0.1960110
## [467,] 0.37567135 0.37682484 0.2475038
## [468,] 0.13893079 0.13748799 0.7235812
## [469,] 0.36169708 0.35799860 0.2803043
## [470,] 0.36254918 0.36012713 0.2773237
## [471,] 0.40603687 0.40901244 0.1849507
## [472,] 0.22032221 0.21852700 0.5611508
## [473,] 0.35920589 0.35840583 0.2823883
## [474,] 0.14442721 0.14261582 0.7129570
## [475,] 0.11623555 0.11498916 0.7687753
## [476,] 0.42567825 0.42585137 0.1484704
## [477,] 0.16220141 0.16017880 0.6776198
## [478,] 0.35247512 0.34725415 0.3002707
## [479,] 0.37490115 0.36957425 0.2555246
## [480,] 0.30979186 0.30685789 0.3833502
## [481,] 0.09419373 0.09305977 0.8127465
## [482,] 0.08747778 0.08641886 0.8261034
## [483,] 0.30779187 0.30623991 0.3859682
## [484,] 0.26634532 0.26133394 0.4723207
## [485,] 0.39942954 0.40167697 0.1988935
## [486,] 0.40280077 0.40589492 0.1913043
## [487,] 0.38617565 0.38260135 0.2312230
## [488,] 0.39561800 0.39138174 0.2130003
## [489,] 0.12730432 0.12596112 0.7467346
## [490,] 0.24062174 0.23811495 0.5212633
## [491,] 0.40987203 0.41254873 0.1775792
## [492,] 0.22665802 0.22400107 0.5493409
## [493,] 0.38475912 0.38680205 0.2284388
## [494,] 0.34890431 0.34582670 0.3052690
## [495,] 0.35894095 0.35766338 0.2833957
## [496,] 0.40180256 0.39755666 0.2006408
## [497,] 0.24240294 0.23942960 0.5181675
## [498,] 0.38956690 0.38997130 0.2204618
## [499,] 0.42571363 0.42587996 0.1484064
## [500,] 0.40082304 0.40162345 0.1975535
## [501,] 0.15380680 0.15196642 0.6942268
## [502,] 0.22524974 0.22260630 0.5521440
## [503,] 0.29445745 0.29221554 0.4133270
## [504,] 0.38213014 0.38199336 0.2358765
## [505,] 0.19330589 0.19064983 0.6160443
## [506,] 0.41135335 0.41142866 0.1772180
## [507,] 0.40162958 0.40440822 0.1939622
## [508,] 0.42020596 0.42570921 0.1540848
## [509,] 0.18101763 0.17873819 0.6402442
## [510,] 0.39646491 0.39588654 0.2076485
## [511,] 0.28128536 0.27932205 0.4393926
## [512,] 0.42734947 0.43066827 0.1419823
## [513,] 0.33472408 0.33243708 0.3328388
## [514,] 0.39722929 0.40056901 0.2022017
## [515,] 0.29714995 0.29155726 0.4112928
## [516,] 0.41614911 0.42058794 0.1632629
## [517,] 0.17264109 0.17021660 0.6571423
## [518,] 0.11717975 0.11590234 0.7669179
## [519,] 0.41930251 0.42109563 0.1596019
## [520,] 0.38074411 0.38265468 0.2366012
## [521,] 0.09846033 0.09706540 0.8044743
## [522,] 0.38012717 0.38121924 0.2386536
## [523,] 0.30834035 0.30370814 0.3879515
## [524,] 0.37167196 0.37236884 0.2559592
## [525,] 0.25582878 0.25365992 0.4905113
## [526,] 0.12122795 0.11991324 0.7588588
## [527,] 0.41651886 0.41886068 0.1646205
## [528,] 0.38090883 0.37862721 0.2404640
## [529,] 0.38651621 0.38880254 0.2246812
## [530,] 0.30674501 0.30228346 0.3909715
## [531,] 0.40616850 0.40326652 0.1905650
## [532,] 0.42518793 0.42928520 0.1455269
## [533,] 0.33063678 0.32824196 0.3411213
## [534,] 0.23210248 0.22827788 0.5396196
## [535,] 0.07720168 0.07623154 0.8465668
## [536,] 0.28404626 0.27875302 0.4372007
## [537,] 0.23394541 0.23102350 0.5350311
## [538,] 0.38190394 0.38367969 0.2344164
## [539,] 0.33334361 0.32949987 0.3371565
## [540,] 0.10137310 0.10005931 0.7985676
## [541,] 0.09843332 0.09715390 0.8044128
## [542,] 0.21705615 0.21302022 0.5699236
## [543,] 0.25862022 0.25560810 0.4857717
## [544,] 0.37418594 0.37515337 0.2506607
## [545,] 0.41891797 0.41896794 0.1621141
## [546,] 0.16144426 0.15972496 0.6788308
## [547,] 0.39233235 0.39530617 0.2123615
## [548,] 0.12283685 0.12129920 0.7558640
## [549,] 0.28359043 0.28158125 0.4348283
## [550,] 0.10769957 0.10625672 0.7860437
## [551,] 0.18763140 0.18540815 0.6269605
## [552,] 0.28878070 0.28723231 0.4239870
## [553,] 0.35914394 0.35251410 0.2883420
## [554,] 0.20692490 0.20461290 0.5884622
## [555,] 0.39804044 0.40119408 0.2007655
## [556,] 0.22401465 0.22066546 0.5553199
## [557,] 0.40142689 0.40250669 0.1960664
## [558,] 0.38875028 0.39161434 0.2196354
## [559,] 0.18804335 0.18580248 0.6261542
## [560,] 0.35517347 0.35566425 0.2891623
## [561,] 0.16346430 0.16171804 0.6748177
## [562,] 0.39361012 0.39695824 0.2094316
## [563,] 0.41093460 0.41082623 0.1782392
## [564,] 0.40124884 0.40333273 0.1954184
## [565,] 0.33595605 0.33094554 0.3330984
## [566,] 0.27677992 0.27140320 0.4518169
## [567,] 0.39652755 0.39264609 0.2108264
## [568,] 0.12238333 0.12087005 0.7567466
## [569,] 0.17957417 0.17717836 0.6432475
## [570,] 0.13474289 0.13309304 0.7321641
## [571,] 0.33184432 0.32680694 0.3413487
## [572,] 0.09766465 0.09631068 0.8060247
## [573,] 0.12028647 0.11860091 0.7611126
## [574,] 0.29962372 0.29443184 0.4059444
## [575,] 0.08706469 0.08597868 0.8269566
## [576,] 0.34866309 0.34862448 0.3027124
## [577,] 0.18081828 0.17804309 0.6411386
## [578,] 0.13980356 0.13789393 0.7223025
## [579,] 0.11565859 0.11389806 0.7704434
## [580,] 0.24537851 0.24201234 0.5126092
## [581,] 0.29352671 0.29095381 0.4155195
## [582,] 0.33166213 0.32770606 0.3406318
## [583,] 0.11960089 0.11802589 0.7623732
## [584,] 0.18201324 0.17975794 0.6382288
## [585,] 0.08400275 0.08293380 0.8330634
## [586,] 0.18824534 0.18576432 0.6259903
## [587,] 0.37217085 0.37344234 0.2543868
## [588,] 0.42230159 0.42136514 0.1563333
## [589,] 0.34420502 0.34168570 0.3141093
## [590,] 0.22203912 0.21993865 0.5580222
## [591,] 0.32211615 0.32161074 0.3562731
## [592,] 0.37789134 0.38015421 0.2419544
## [593,] 0.40014815 0.40410923 0.1957426
## [594,] 0.16581611 0.16416047 0.6700234
## [595,] 0.37271347 0.37140093 0.2558856
## [596,] 0.23395908 0.23191706 0.5341239
## [597,] 0.12106865 0.11972344 0.7592079
## [598,] 0.13213151 0.13040689 0.7374616
## [599,] 0.08796204 0.08681540 0.8252226
## [600,] 0.09733752 0.09603843 0.8066241
## [601,] 0.17744720 0.17512798 0.6474248
## [602,] 0.41587874 0.41280055 0.1713207
## [603,] 0.42022809 0.42503939 0.1547325
## [604,] 0.37034212 0.36625375 0.2634041
## [605,] 0.15594109 0.15354968 0.6905092
## [606,] 0.26136200 0.25916981 0.4794682
## [607,] 0.22418532 0.22142894 0.5543857
## [608,] 0.17670451 0.17501348 0.6482820
## [609,] 0.17887445 0.17642420 0.6447014
## [610,] 0.38357979 0.38525408 0.2311661
## [611,] 0.23647705 0.23313794 0.5303850
## [612,] 0.30037225 0.29749416 0.4021336
## [613,] 0.11184778 0.11062032 0.7775319
## [614,] 0.17801674 0.17621976 0.6457635
## [615,] 0.40613278 0.40779882 0.1860684
## [616,] 0.26966101 0.26555925 0.4647797
## [617,] 0.19568579 0.19386408 0.6104501
## [618,] 0.31851476 0.31748077 0.3640045
## [619,] 0.16204739 0.16001218 0.6779404
## [620,] 0.32765101 0.32439839 0.3479506
## [621,] 0.32084234 0.31470647 0.3644512
## [622,] 0.20493835 0.20276880 0.5922929
## [623,] 0.37263615 0.37340648 0.2539574
## [624,] 0.09178535 0.09072004 0.8174946
## [625,] 0.39498517 0.39727143 0.2077434
## [626,] 0.14761164 0.14604728 0.7063411
## [627,] 0.40184546 0.40447152 0.1936830
## [628,] 0.38977748 0.39091410 0.2193084
## [629,] 0.17572203 0.17350702 0.6507709
## [630,] 0.15309904 0.15120331 0.6956977
## [631,] 0.38994568 0.39070083 0.2193535
## [632,] 0.41453851 0.41573316 0.1697283
## [633,] 0.40124884 0.40333273 0.1954184
## [634,] 0.30436049 0.30283623 0.3928033
## [635,] 0.39281130 0.39552220 0.2116665
## [636,] 0.20256369 0.20076177 0.5966745
## [637,] 0.40778279 0.41094356 0.1812737
## [638,] 0.37489260 0.37280836 0.2522990
## [639,] 0.41256698 0.41301862 0.1744144
## [640,] 0.39630509 0.39666951 0.2070254
## [641,] 0.41738087 0.41860300 0.1640161
## [642,] 0.40830263 0.41136543 0.1803319
## [643,] 0.40289309 0.40135204 0.1957549
## [644,] 0.34780560 0.34590175 0.3062927
## [645,] 0.37846425 0.38011214 0.2414236
## [646,] 0.24988025 0.24643509 0.5036847
## [647,] 0.38115439 0.38318408 0.2356615
## [648,] 0.22534123 0.22282749 0.5518313
## [649,] 0.43162018 0.43338065 0.1349992
## [650,] 0.39596130 0.39209710 0.2119416
## [651,] 0.39387866 0.39668469 0.2094367
## [652,] 0.11313458 0.11183860 0.7750268
## [653,] 0.41775567 0.41857867 0.1636657
## [654,] 0.25824512 0.25530406 0.4864508
## [655,] 0.30038883 0.29582286 0.4037883
## [656,] 0.32405156 0.32333994 0.3526085
## [657,] 0.24658124 0.24272854 0.5106902
## [658,] 0.25628349 0.25346395 0.4902526
## [659,] 0.41695722 0.41938069 0.1636621
## [660,] 0.30542677 0.30320735 0.3913659
## [661,] 0.36470053 0.35932742 0.2759720
## [662,] 0.12671331 0.12541191 0.7478748
## [663,] 0.41860508 0.42155900 0.1598359
## [664,] 0.18198973 0.17994257 0.6380677
## [665,] 0.19217839 0.19025977 0.6175618
## [666,] 0.18498318 0.18307490 0.6319419
## [667,] 0.18528428 0.18290755 0.6318082
## [668,] 0.09482599 0.09367517 0.8114988
## [669,] 0.10377466 0.10260276 0.7936226
## [670,] 0.22680441 0.22339649 0.5497991
## [671,] 0.42927336 0.43169420 0.1390324
## [672,] 0.36524441 0.36156506 0.2731905
## [673,] 0.40047084 0.40224709 0.1972821
## [674,] 0.43648437 0.43809717 0.1254185
## [675,] 0.35804583 0.35356309 0.2883911
## [676,] 0.17776086 0.17628086 0.6459583
## [677,] 0.37698287 0.37684646 0.2461707
## [678,] 0.39727497 0.39870480 0.2040202
## [679,] 0.29397314 0.29224192 0.4137849
## [680,] 0.39505913 0.39630053 0.2086403
## [681,] 0.40334644 0.40249520 0.1941584
## [682,] 0.40071030 0.40389220 0.1953975
## [683,] 0.35484261 0.35387502 0.2912824
## [684,] 0.26371843 0.25927561 0.4770060
## [685,] 0.40413438 0.40666882 0.1891968
## [686,] 0.41279106 0.41067122 0.1765377
## [687,] 0.40308115 0.40711154 0.1898073
## [688,] 0.35187891 0.35234357 0.2957775
## [689,] 0.38028317 0.38197745 0.2377394
## [690,] 0.40064750 0.40320650 0.1961460
## [691,] 0.34887717 0.34724486 0.3038780
## [692,] 0.40546378 0.40685601 0.1876802
## [693,] 0.31574240 0.31225453 0.3720031
## [694,] 0.17700107 0.17510595 0.6478930
## [695,] 0.25415747 0.25166006 0.4941825
## [696,] 0.30166651 0.29888030 0.3994532
## [697,] 0.16541188 0.16355642 0.6710317
## [698,] 0.22017626 0.21785460 0.5619691
## [699,] 0.40229014 0.40037529 0.1973346
## [700,] 0.39530543 0.39727309 0.2074215
## [701,] 0.39870211 0.39599242 0.2053055
## [702,] 0.35192060 0.35168212 0.2963973
## [703,] 0.37289331 0.37252558 0.2545811
## [704,] 0.36973739 0.37080387 0.2594587
## [705,] 0.13744948 0.13549782 0.7270527
## [706,] 0.37931781 0.38087343 0.2398088
## [707,] 0.18487317 0.18310323 0.6320236
## [708,] 0.34990899 0.34551923 0.3045718
## [709,] 0.35285575 0.35162228 0.2955220
## [710,] 0.28180280 0.28029532 0.4379019
## [711,] 0.12207143 0.12077033 0.7571582
## [712,] 0.42844684 0.42507674 0.1464764
## [713,] 0.14357246 0.14187603 0.7145515
## [714,] 0.41477452 0.40907898 0.1761465
## [715,] 0.17048506 0.16809569 0.6614192
## [716,] 0.39824496 0.40140077 0.2003543
## [717,] 0.38889659 0.39127449 0.2198289
## [718,] 0.07808928 0.07711589 0.8447948
## [719,] 0.40009359 0.40094529 0.1989611
## [720,] 0.15480654 0.15297044 0.6922230
## [721,] 0.39007846 0.38684971 0.2230718
## [722,] 0.38151294 0.38047525 0.2380118
## [723,] 0.09591809 0.09480481 0.8092771
## [724,] 0.38708648 0.38984752 0.2230660
## [725,] 0.28738896 0.28568205 0.4269290
## [726,] 0.21925667 0.21657144 0.5641719
## [727,] 0.39745359 0.40034151 0.2022049
## [728,] 0.40426904 0.40823003 0.1875009
## [729,] 0.28675545 0.28404019 0.4292044
## [730,] 0.39085250 0.39233994 0.2168076
## [731,] 0.14357669 0.14186739 0.7145559
## [732,] 0.31030564 0.30671118 0.3829832
## [733,] 0.36367652 0.36064329 0.2756802
## [734,] 0.27729635 0.27394474 0.4487589
## [735,] 0.36036132 0.36056500 0.2790737
## [736,] 0.37551085 0.37696488 0.2475243
## [737,] 0.40570835 0.40868080 0.1856109
## [738,] 0.37514736 0.37150328 0.2533494
## [739,] 0.11196148 0.11076104 0.7772775
## [740,] 0.42201310 0.42522423 0.1527627
## [741,] 0.40267124 0.40169360 0.1956352
## [742,] 0.11978627 0.11804459 0.7621691
## [743,] 0.24091407 0.23812345 0.5209625
## [744,] 0.10643836 0.10500018 0.7885615
## [745,] 0.38687996 0.38887021 0.2242498
## [746,] 0.39658284 0.39918762 0.2042295
## [747,] 0.11522391 0.11380926 0.7709668
## [748,] 0.41001100 0.41417843 0.1758106
## [749,] 0.24941184 0.24766911 0.5029190
## [750,] 0.38387374 0.38494055 0.2311857
## [751,] 0.41052045 0.41463246 0.1748471
## [752,] 0.35070726 0.34677345 0.3025193
## [753,] 0.41860508 0.42155900 0.1598359
## [754,] 0.37401728 0.37544205 0.2505407
## [755,] 0.43245118 0.43969769 0.1278511
## [756,] 0.42160607 0.42571008 0.1526838
## [757,] 0.39061324 0.38902571 0.2203610
## [758,] 0.37777897 0.37509677 0.2471243
## [759,] 0.18325610 0.18128858 0.6354553
## [760,] 0.22397960 0.22097815 0.5550422
## [761,] 0.13691696 0.13528297 0.7278001
## [762,] 0.36105100 0.35675247 0.2821965
## [763,] 0.41752836 0.42268285 0.1597888
## [764,] 0.28421296 0.28266559 0.4331214
## [765,] 0.38262432 0.38415870 0.2332170
## [766,] 0.26520042 0.26086741 0.4739322
## [767,] 0.39094323 0.39378842 0.2152683
## [768,] 0.40859956 0.41206957 0.1793309
## [769,] 0.27806469 0.27459254 0.4473428
## [770,] 0.35265934 0.34518540 0.3021553
## [771,] 0.41652195 0.41714354 0.1663345
## [772,] 0.40492856 0.40801710 0.1870543
## [773,] 0.34629063 0.34409506 0.3096143
## [774,] 0.12213942 0.12034256 0.7575180
## [775,] 0.27790833 0.27638467 0.4457070
## [776,] 0.14468494 0.14296525 0.7123498
## [777,] 0.17590122 0.17313342 0.6509654
## [778,] 0.38216070 0.38350387 0.2343354
## [779,] 0.18269561 0.18049763 0.6368068
## [780,] 0.40121568 0.40414094 0.1946434
## [781,] 0.39157637 0.39413677 0.2142869
## [782,] 0.12833395 0.12662107 0.7450450
## [783,] 0.10694962 0.10577708 0.7872733
## [784,] 0.14298586 0.14151850 0.7154956
## [785,] 0.10380630 0.10263535 0.7935583
## [786,] 0.14778404 0.14616749 0.7060485
## [787,] 0.19401524 0.19161478 0.6143700
## [788,] 0.36794059 0.36750867 0.2645507
## [789,] 0.33971869 0.33807900 0.3222023
## [790,] 0.30016250 0.29529143 0.4045461
## [791,] 0.39685350 0.40045883 0.2026877
## [792,] 0.36664341 0.36752076 0.2658358
## [793,] 0.27239846 0.27053028 0.4570713
## [794,] 0.22458533 0.22078139 0.5546333
## [795,] 0.28023438 0.27639057 0.4433750
## [796,] 0.32012100 0.31806780 0.3618112
## [797,] 0.40277823 0.40009519 0.1971266
## [798,] 0.39988458 0.39902246 0.2010930
## [799,] 0.41835469 0.42395360 0.1576917
## [800,] 0.11766569 0.11617273 0.7661616
## [801,] 0.39866194 0.39321500 0.2081231
## [802,] 0.13615977 0.13440505 0.7294352
## [803,] 0.13509729 0.13292182 0.7319809
## [804,] 0.39897293 0.40199878 0.1990283
## [805,] 0.35339389 0.35383504 0.2927711
## [806,] 0.33264164 0.32877699 0.3385814
## [807,] 0.26410664 0.26137518 0.4745182
## [808,] 0.37224802 0.36634570 0.2614063
## [809,] 0.35358601 0.35222102 0.2941930
## [810,] 0.41206215 0.41587493 0.1720629
## [811,] 0.21590799 0.21380849 0.5702835
## [812,] 0.23077137 0.22886690 0.5403617
## [813,] 0.38573366 0.38742579 0.2268406
## [814,] 0.41572924 0.41510514 0.1691656
## [815,] 0.40276787 0.40675401 0.1904781
## [816,] 0.37861805 0.37373819 0.2476438
## [817,] 0.14823306 0.14651153 0.7052554
## [818,] 0.35075632 0.34981578 0.2994279
## [819,] 0.39990674 0.39569464 0.2043986
## [820,] 0.09701616 0.09583853 0.8071453
## [821,] 0.37930010 0.38114874 0.2395512
## [822,] 0.08414472 0.08310843 0.8327469
## [823,] 0.34127732 0.34103808 0.3176846
## [824,] 0.20692490 0.20461290 0.5884622
## [825,] 0.35517347 0.35566425 0.2891623
## [826,] 0.39974909 0.40169064 0.1985603
## [827,] 0.35921776 0.35895452 0.2818277
## [828,] 0.21812751 0.21572679 0.5661457
## [829,] 0.41998307 0.42274672 0.1572702
## [830,] 0.12775713 0.12641095 0.7458319
## [831,] 0.14086379 0.13894010 0.7201961
## [832,] 0.37686690 0.37492715 0.2482060
## [833,] 0.36080761 0.35636912 0.2828233
## [834,] 0.13401467 0.13248630 0.7334990
## [835,] 0.15355098 0.15169749 0.6947515
## [836,] 0.41353145 0.41619745 0.1702711
## [837,] 0.23254863 0.22914962 0.5383018
## [838,] 0.40702306 0.41028610 0.1826908
## [839,] 0.17912424 0.17662482 0.6442509
## [840,] 0.37229416 0.37124520 0.2564606
## [841,] 0.15728774 0.15510162 0.6876106
## [842,] 0.32816296 0.32296067 0.3488764
## [843,] 0.16047982 0.15844444 0.6810757
## [844,] 0.16196745 0.16007822 0.6779543
## [845,] 0.41186823 0.41597396 0.1721578
## [846,] 0.35943959 0.36029509 0.2802653
## [847,] 0.40640603 0.40911429 0.1844797
## [848,] 0.41502131 0.40835851 0.1766202
## [849,] 0.24631320 0.24209269 0.5115941
## [850,] 0.21392925 0.21215396 0.5739168
## [851,] 0.31743966 0.31277689 0.3697834
## [852,] 0.38170915 0.37718448 0.2411064
## [853,] 0.38501201 0.38737504 0.2276129
## [854,] 0.25767997 0.25560579 0.4867142
## [855,] 0.34435764 0.34327051 0.3123719
## [856,] 0.37966174 0.38059353 0.2397447
## [857,] 0.20878686 0.20629838 0.5849148
## [858,] 0.35139575 0.35048356 0.2981207
## [859,] 0.10391504 0.10249934 0.7935856
## [860,] 0.39434884 0.39645848 0.2091927
## [861,] 0.10726589 0.10600987 0.7867242
## [862,] 0.24360544 0.24003018 0.5163644
## [863,] 0.20411140 0.20226400 0.5936246
## [864,] 0.29739529 0.29468417 0.4079205
## [865,] 0.27554159 0.27237433 0.4520841
## [866,] 0.35113755 0.34431491 0.3045475
## [867,] 0.32891005 0.32388864 0.3472013
## [868,] 0.18084968 0.17938387 0.6397665
## [869,] 0.39956654 0.39724408 0.2031894
## [870,] 0.09366564 0.09251987 0.8138145
## [871,] 0.34884407 0.34898996 0.3021660
## [872,] 0.39239466 0.39266071 0.2149446
## [873,] 0.10494580 0.10357778 0.7914764
## [874,] 0.14855855 0.14605542 0.7053860
## [875,] 0.40779367 0.40972637 0.1824800
## [876,] 0.37325888 0.37499856 0.2517426
## [877,] 0.33391759 0.33040270 0.3356797
## [878,] 0.11405732 0.11254168 0.7734010
## [879,] 0.41952934 0.42472607 0.1557446
## [880,] 0.19339550 0.19140837 0.6151961
## [881,] 0.28677586 0.28511177 0.4281124
## [882,] 0.19096042 0.18829260 0.6207470
## [883,] 0.18896790 0.18748346 0.6235486
## [884,] 0.14051284 0.13858602 0.7209011
## [885,] 0.40308115 0.40711154 0.1898073
## [886,] 0.40773993 0.41205294 0.1802071
## [887,] 0.24054862 0.23810862 0.5213428
## [888,] 0.10005372 0.09859394 0.8013523
## [889,] 0.33876800 0.33577220 0.3254598
## [890,] 0.41944034 0.42232892 0.1582307
## [891,] 0.25408892 0.25222719 0.4936839
## [892,] 0.28765009 0.28303511 0.4293148
## [893,] 0.40305490 0.40611997 0.1908251
## [894,] 0.09907309 0.09797702 0.8029499
## [895,] 0.37725394 0.37808750 0.2446586
## [896,] 0.38123718 0.38097855 0.2377843
## [897,] 0.39970180 0.40089578 0.1994024
## [898,] 0.40144356 0.40444803 0.1941084
## [899,] 0.25277452 0.24947533 0.4977501
## [900,] 0.13944192 0.13764913 0.7229090
## [901,] 0.41864672 0.42294208 0.1584112
## [902,] 0.22477198 0.22045416 0.5547739
## [903,] 0.41145434 0.41455945 0.1739862
## [904,] 0.36302529 0.36034196 0.2766327
## [905,] 0.29790006 0.29444322 0.4076567
## [906,] 0.39217509 0.39483359 0.2129913
## [907,] 0.38025657 0.38185431 0.2378891
## [908,] 0.10634295 0.10514041 0.7885166
## [909,] 0.16385144 0.16213782 0.6740107
## [910,] 0.25523249 0.25220764 0.4925599
## [911,] 0.40849875 0.41245254 0.1790487
## [912,] 0.40768863 0.41106983 0.1812415
## [913,] 0.37988854 0.37885409 0.2412574
## [914,] 0.24559827 0.24340904 0.5109927
## [915,] 0.38305686 0.38524903 0.2316941
## [916,] 0.41745789 0.42208339 0.1604587
## [917,] 0.39963571 0.39968305 0.2006812
## [918,] 0.37418594 0.37515337 0.2506607
## [919,] 0.35538440 0.34959353 0.2950221
## [920,] 0.39372733 0.39631816 0.2099545
## [921,] 0.31875371 0.31802276 0.3632235
## [922,] 0.39043700 0.39306528 0.2164977
## [923,] 0.23317629 0.23118826 0.5356355
## [924,] 0.13796379 0.13599056 0.7260457
## [925,] 0.38248829 0.38467420 0.2328375
## [926,] 0.32468387 0.32187705 0.3534391
## [927,] 0.38206447 0.38401940 0.2339161
## [928,] 0.39763064 0.40073453 0.2016348
## [929,] 0.41000175 0.41443626 0.1755620
## [930,] 0.41396900 0.41611447 0.1699165
## [931,] 0.41928936 0.42224284 0.1584678
## [932,] 0.19111481 0.18921895 0.6196662
## [933,] 0.37461679 0.37325991 0.2521233
## [934,] 0.13213985 0.13075420 0.7371059
## [935,] 0.38262432 0.38415870 0.2332170
## [936,] 0.11547840 0.11407728 0.7704443
## [937,] 0.40575246 0.40799808 0.1862495
## [938,] 0.38701314 0.38764180 0.2253451
## [939,] 0.43285286 0.42984862 0.1372985
## [940,] 0.37523375 0.37372767 0.2510386
## [941,] 0.38265973 0.38213119 0.2352091
## [942,] 0.40993589 0.40450456 0.1855596
## [943,] 0.38416969 0.38644753 0.2293828
## [944,] 0.37818730 0.38009556 0.2417171
## [945,] 0.19513962 0.19289867 0.6119617
## [946,] 0.35858286 0.35834606 0.2830711
## [947,] 0.43302542 0.43202407 0.1349505
## [948,] 0.30522163 0.30114891 0.3936295
## [949,] 0.16891560 0.16719342 0.6638910
## [950,] 0.39441959 0.38981575 0.2157647
## [951,] 0.14575999 0.14421140 0.7100286
## [952,] 0.27326772 0.27095065 0.4557816
## [953,] 0.25889047 0.25600053 0.4851090
## [954,] 0.18689965 0.18526958 0.6278308
## [955,] 0.14822152 0.14639341 0.7053851
## [956,] 0.16201005 0.15979130 0.6781986
## [957,] 0.37205996 0.37152207 0.2564180
## [958,] 0.41373152 0.41047197 0.1757965
## [959,] 0.15524919 0.15298285 0.6917680
## [960,] 0.30925161 0.30256157 0.3881868
## [961,] 0.41814163 0.42151192 0.1603465
## [962,] 0.37507104 0.36777407 0.2571549
## [963,] 0.23486715 0.23286073 0.5322721
## [964,] 0.24753447 0.24390935 0.5085562
## [965,] 0.26329456 0.25972615 0.4769793
## [966,] 0.40492628 0.40498582 0.1900879
## [967,] 0.38246219 0.38444842 0.2330894
## [968,] 0.08180403 0.08065684 0.8375391
## [969,] 0.21015008 0.20835983 0.5814901
## [970,] 0.35226357 0.35043069 0.2973057
## [971,] 0.40351459 0.40733962 0.1891458
## [972,] 0.19311082 0.19097437 0.6159148
## [973,] 0.31974426 0.31914261 0.3611131
## [974,] 0.40427654 0.39821653 0.1975069
## [975,] 0.40889424 0.41308979 0.1780160
## [976,] 0.39513080 0.39765027 0.2072189
## [977,] 0.39018179 0.39275827 0.2170599
## [978,] 0.28675545 0.28404019 0.4292044
## [979,] 0.13731271 0.13522210 0.7274652
## [980,] 0.37498684 0.37420227 0.2508109
## [981,] 0.15293942 0.15112617 0.6959344
## [982,] 0.23912339 0.23746932 0.5234073
## [983,] 0.11252706 0.11123068 0.7762423
## [984,] 0.42850448 0.42989005 0.1416055
## [985,] 0.37732069 0.37923662 0.2434427
## [986,] 0.35627197 0.34935084 0.2943772
## [987,] 0.41638711 0.42118376 0.1624291
## [988,] 0.37988118 0.38162935 0.2384895
## [989,] 0.40893742 0.41311335 0.1779492
## [990,] 0.16770803 0.16560366 0.6666883
## [991,] 0.35498246 0.35557112 0.2894464
## [992,] 0.11667363 0.11543453 0.7678918
## [993,] 0.32272172 0.32075045 0.3565278
## [994,] 0.40248395 0.40384685 0.1936692
## [995,] 0.19989154 0.19723410 0.6028744
## [996,] 0.16541188 0.16355642 0.6710317
## [997,] 0.38929204 0.39091502 0.2197929
## [998,] 0.15246879 0.15038970 0.6971415
## [999,] 0.37313707 0.37345917 0.2534038
## [1000,] 0.32082910 0.31493840 0.3642325
## [1001,] 0.36630197 0.36615732 0.2675407
## [1002,] 0.37286214 0.37426885 0.2528690
## [1003,] 0.35274946 0.35220510 0.2950454
## [1004,] 0.11403115 0.11269266 0.7732762
## [1005,] 0.26459778 0.26003390 0.4753683
## [1006,] 0.36180587 0.36116999 0.2770241
## [1007,] 0.43172556 0.43205454 0.1362199
## [1008,] 0.39658284 0.39918762 0.2042295
## [1009,] 0.26067770 0.25841983 0.4809025
## [1010,] 0.10872544 0.10732401 0.7839505
## [1011,] 0.37557903 0.37698271 0.2474383
## [1012,] 0.26288740 0.25979286 0.4773197
## [1013,] 0.25080126 0.24802010 0.5011786
## [1014,] 0.20138307 0.19866546 0.5999515
## [1015,] 0.14005357 0.13803518 0.7219112
## [1016,] 0.38670028 0.38534709 0.2279526
## [1017,] 0.39660159 0.39996715 0.2034313
## [1018,] 0.30075409 0.29797849 0.4012674
## [1019,] 0.15899800 0.15739369 0.6836083
## [1020,] 0.21021513 0.20790738 0.5818775
## [1021,] 0.11195690 0.11050428 0.7775388
## [1022,] 0.13699955 0.13552491 0.7274755
## [1023,] 0.36192268 0.36054143 0.2775359
## [1024,] 0.18317666 0.18064712 0.6361762
## [1025,] 0.12840175 0.12698513 0.7446131
## [1026,] 0.42714294 0.42814809 0.1447090
## [1027,] 0.28424714 0.28271376 0.4330391
## [1028,] 0.16549727 0.16383271 0.6706700
## [1029,] 0.22760467 0.22508574 0.5473096
## [1030,] 0.41709762 0.41802768 0.1648747
## [1031,] 0.39060821 0.39347993 0.2159119
## [1032,] 0.39204223 0.39513938 0.2128184
## [1033,] 0.41946040 0.42398757 0.1565520
## [1034,] 0.16101722 0.15942876 0.6795540
## [1035,] 0.39745556 0.40093155 0.2016129
## [1036,] 0.27082400 0.26730848 0.4618675
## [1037,] 0.15619614 0.15379409 0.6900098
## [1038,] 0.16165698 0.15941000 0.6789330
## [1039,] 0.28686332 0.28541208 0.4277246
## [1040,] 0.38720666 0.38297624 0.2298171
## [1041,] 0.37212557 0.37161837 0.2562561
## [1042,] 0.31931065 0.31862447 0.3620649
## [1043,] 0.30596206 0.30475475 0.3892832
## [1044,] 0.37958798 0.38105169 0.2393603
## [1045,] 0.23485565 0.23306554 0.5320788
## [1046,] 0.22125507 0.21821438 0.5605305
## [1047,] 0.23858490 0.23561175 0.5258034
## [1048,] 0.41419732 0.41769759 0.1681051
## [1049,] 0.33372047 0.33216226 0.3341173
## [1050,] 0.36202982 0.36021570 0.2777545
## [1051,] 0.39660159 0.39996715 0.2034313
## [1052,] 0.25327251 0.25132238 0.4954051
## [1053,] 0.40078277 0.40366670 0.1955505
## [1054,] 0.24471365 0.24252406 0.5127623
## [1055,] 0.10023452 0.09910055 0.8006649
## [1056,] 0.40552162 0.40734669 0.1871317
## [1057,] 0.27443424 0.27047500 0.4550908
## [1058,] 0.24993251 0.24623605 0.5038314
## [1059,] 0.42412701 0.42747420 0.1483988
## [1060,] 0.39844162 0.40155580 0.2000026
## [1061,] 0.34435890 0.34309897 0.3125421
## [1062,] 0.37966369 0.37931669 0.2410196
## [1063,] 0.39418895 0.39524815 0.2105629
## [1064,] 0.26140262 0.25930943 0.4792879
## [1065,] 0.38097564 0.37719979 0.2418246
## [1066,] 0.13855028 0.13675434 0.7246954
## [1067,] 0.38252773 0.38469471 0.2327776
## [1068,] 0.40006262 0.40119290 0.1987445
## [1069,] 0.19095247 0.18906841 0.6199791
## [1070,] 0.34593301 0.34609122 0.3079758
## [1071,] 0.11547840 0.11407728 0.7704443
## [1072,] 0.41166012 0.41409746 0.1742424
## [1073,] 0.40724770 0.40248871 0.1902636
## [1074,] 0.21082303 0.20802318 0.5811538
## [1075,] 0.33875903 0.33564135 0.3255996
## [1076,] 0.39089662 0.39389072 0.2152127
## [1077,] 0.38607676 0.38769693 0.2262263
## [1078,] 0.14162172 0.13985820 0.7185201
## [1079,] 0.27020377 0.26680102 0.4629952
## [1080,] 0.10537142 0.10419403 0.7904345
## [1081,] 0.40975942 0.41361117 0.1766294
## [1082,] 0.29858367 0.29620869 0.4052076
## [1083,] 0.40878761 0.41240784 0.1788046
## [1084,] 0.17736698 0.17574071 0.6468923
## [1085,] 0.39097444 0.39363040 0.2153952
## [1086,] 0.38779136 0.38552715 0.2266815
## [1087,] 0.17711607 0.17509200 0.6477919
## [1088,] 0.35227344 0.35273667 0.2949899
## [1089,] 0.12364003 0.12230395 0.7540560
## [1090,] 0.38712681 0.38971772 0.2231555
## [1091,] 0.39394567 0.39670723 0.2093471
## [1092,] 0.15416792 0.15237155 0.6934605
## [1093,] 0.41930251 0.42109563 0.1596019
## [1094,] 0.16827267 0.16604797 0.6656794
## [1095,] 0.20508707 0.20226494 0.5926480
## [1096,] 0.40044281 0.39517434 0.2043828
## [1097,] 0.39774137 0.39531742 0.2069412
## [1098,] 0.41145503 0.41471202 0.1738329
## [1099,] 0.10336293 0.10222102 0.7944161
## [1100,] 0.43667705 0.43663464 0.1266883
## [1101,] 0.37425933 0.37619802 0.2495426
## [1102,] 0.36598083 0.36115164 0.2728675
## [1103,] 0.29669997 0.29378589 0.4095141
## [1104,] 0.17629861 0.17368386 0.6500175
## [1105,] 0.11151922 0.11022335 0.7782574
## [1106,] 0.39052696 0.39270170 0.2167713
## [1107,] 0.21855510 0.21568083 0.5657641
## [1108,] 0.18804335 0.18580248 0.6261542
## [1109,] 0.35244393 0.35117015 0.2963859
## [1110,] 0.30696473 0.30327475 0.3897605
## [1111,] 0.40759452 0.41063648 0.1817690
## [1112,] 0.37523435 0.37631618 0.2484495
## [1113,] 0.15642036 0.15454207 0.6890376
## [1114,] 0.39387866 0.39668469 0.2094367
## [1115,] 0.12720048 0.12569428 0.7471052
## [1116,] 0.36842473 0.36841695 0.2631583
## [1117,] 0.28078184 0.27926517 0.4399530
## [1118,] 0.35009701 0.34969417 0.3002088
## [1119,] 0.18344551 0.18135957 0.6351949
## [1120,] 0.34550586 0.34221306 0.3122811
## [1121,] 0.42747784 0.42701581 0.1455064
## [1122,] 0.12133198 0.11983531 0.7588327
## [1123,] 0.24952955 0.24538823 0.5050822
## [1124,] 0.19864888 0.19664482 0.6047063
## [1125,] 0.29205794 0.28620759 0.4217345
## [1126,] 0.30913835 0.30618407 0.3846776
## [1127,] 0.39835723 0.39839942 0.2032434
## [1128,] 0.22711493 0.22519333 0.5476917
## [1129,] 0.19075922 0.18886225 0.6203785
## [1130,] 0.39986751 0.40200442 0.1981281
## [1131,] 0.35999207 0.35804800 0.2819599
## [1132,] 0.14416228 0.14249246 0.7133453
## [1133,] 0.12017380 0.11881547 0.7610107
## [1134,] 0.39237974 0.39482735 0.2127929
## [1135,] 0.37483049 0.37631125 0.2488583
## [1136,] 0.23297744 0.23006665 0.5369559
## [1137,] 0.12891592 0.12708106 0.7440030
## [1138,] 0.40334282 0.40646163 0.1901955
## [1139,] 0.18203510 0.17988006 0.6380848
## [1140,] 0.27913545 0.27429484 0.4465697
## [1141,] 0.42770528 0.42420740 0.1480873
## [1142,] 0.10161323 0.10037924 0.7980075
## [1143,] 0.11268716 0.11138121 0.7759316
## [1144,] 0.18159696 0.17888169 0.6395214
## [1145,] 0.41553526 0.41931000 0.1651547
## [1146,] 0.14586833 0.14408499 0.7100467
## [1147,] 0.29308086 0.29142861 0.4154905
## [1148,] 0.33789237 0.33600638 0.3261013
## [1149,] 0.31560303 0.31158564 0.3728113
## [1150,] 0.27130792 0.26973732 0.4589548
## [1151,] 0.41692992 0.41712607 0.1659440
## [1152,] 0.40669807 0.40862645 0.1846755
## [1153,] 0.18232128 0.18021669 0.6374620
## [1154,] 0.39378676 0.39672312 0.2094901
## [1155,] 0.32129420 0.31806041 0.3606454
## [1156,] 0.17421523 0.17204705 0.6537377
## [1157,] 0.33340808 0.33130999 0.3352819
## [1158,] 0.38091378 0.38302532 0.2360609
## [1159,] 0.39918806 0.40188330 0.1989286
## [1160,] 0.43218872 0.43554990 0.1322614
## [1161,] 0.27983592 0.27481939 0.4453447
## [1162,] 0.33789237 0.33600638 0.3261013
## [1163,] 0.34473950 0.34244051 0.3128200
## [1164,] 0.42478383 0.42873114 0.1464850
## [1165,] 0.20863638 0.20481599 0.5865476
## [1166,] 0.39718976 0.39268691 0.2101233
## [1167,] 0.25152634 0.24865766 0.4998160
## [1168,] 0.22561361 0.22289799 0.5514884
## [1169,] 0.41046153 0.41408715 0.1754513
## [1170,] 0.41614842 0.42102400 0.1628276
## [1171,] 0.27348103 0.27177956 0.4547394
## [1172,] 0.20367395 0.20171323 0.5946128
## [1173,] 0.40898136 0.41231015 0.1787085
## [1174,] 0.32741713 0.32488968 0.3476932
## [1175,] 0.10778714 0.10651601 0.7856969
## [1176,] 0.27015583 0.26608278 0.4637614
## [1177,] 0.13216894 0.13056398 0.7372671
## [1178,] 0.38135561 0.37760418 0.2410402
## [1179,] 0.12728618 0.12541921 0.7472946
## [1180,] 0.39161479 0.39477898 0.2136062
## [1181,] 0.33535319 0.33488898 0.3297578
## [1182,] 0.23327440 0.22921489 0.5375107
## [1183,] 0.36394781 0.36284487 0.2732073
## [1184,] 0.19717367 0.19464036 0.6081860
## [1185,] 0.12879372 0.12743771 0.7437686
## [1186,] 0.15763977 0.15609663 0.6862636
## [1187,] 0.16900015 0.16685754 0.6641423
## [1188,] 0.37858592 0.37845175 0.2429623
## [1189,] 0.19819965 0.19516163 0.6066387
## [1190,] 0.26616872 0.26338748 0.4704438
## [1191,] 0.40294432 0.40677713 0.1902785
## [1192,] 0.37533527 0.37555472 0.2491100
## [1193,] 0.24902997 0.24588949 0.5050805
## [1194,] 0.27072620 0.26710973 0.4621641
## [1195,] 0.10037473 0.09870040 0.8009249
## [1196,] 0.40839838 0.40588831 0.1857133
## [1197,] 0.27806469 0.27459254 0.4473428
## [1198,] 0.35263499 0.35162564 0.2957394
## [1199,] 0.40846241 0.40987731 0.1816603
## [1200,] 0.39042532 0.39257208 0.2170026
## [1201,] 0.23923772 0.23607887 0.5246834
## [1202,] 0.34688364 0.34691170 0.3062047
## [1203,] 0.24943209 0.24495750 0.5056104
## [1204,] 0.27379988 0.27221534 0.4539848
## [1205,] 0.39425042 0.39601771 0.2097319
## [1206,] 0.35336090 0.35138018 0.2952589
## [1207,] 0.39206199 0.39485813 0.2130799
## [1208,] 0.20649745 0.20441143 0.5890911
## [1209,] 0.29724544 0.29516542 0.4075891
## [1210,] 0.17273267 0.16982306 0.6574443
## [1211,] 0.32696435 0.32449231 0.3485433
## [1212,] 0.34559486 0.34570201 0.3087031
## [1213,] 0.39737177 0.39851399 0.2041142
## [1214,] 0.39001799 0.39250963 0.2174724
## [1215,] 0.25084305 0.24663127 0.5025257
## [1216,] 0.25255173 0.24978142 0.4976668
## [1217,] 0.39431700 0.39241261 0.2132704
## [1218,] 0.17189490 0.16942206 0.6586830
## [1219,] 0.41785647 0.42209041 0.1600531
## [1220,] 0.17616827 0.17345750 0.6503742
## [1221,] 0.16857695 0.16670247 0.6647206
## [1222,] 0.10602636 0.10486258 0.7891111
## [1223,] 0.38929364 0.39131626 0.2193901
## [1224,] 0.26000350 0.25781979 0.4821767
## [1225,] 0.16054568 0.15824750 0.6812068
## [1226,] 0.41810886 0.41681690 0.1650742
## [1227,] 0.37160801 0.37076190 0.2576301
## [1228,] 0.28343879 0.28185548 0.4347057
## [1229,] 0.34459155 0.33864582 0.3167626
## [1230,] 0.10385295 0.10226495 0.7938821
## [1231,] 0.19029950 0.18735078 0.6223497
## [1232,] 0.14264760 0.14115287 0.7161995
## [1233,] 0.23481797 0.23127500 0.5339070
## [1234,] 0.09683239 0.09566019 0.8075074
## [1235,] 0.09146208 0.09038795 0.8181500
## [1236,] 0.37830735 0.37816755 0.2435251
## [1237,] 0.25972738 0.25642370 0.4838489
## [1238,] 0.35805477 0.35868602 0.2832592
## [1239,] 0.10303792 0.10188156 0.7950805
## [1240,] 0.13854865 0.13624938 0.7252020
## [1241,] 0.12571004 0.12435857 0.7499314
## [1242,] 0.21175835 0.20973708 0.5785046
## [1243,] 0.39168950 0.39354238 0.2147681
## [1244,] 0.37915381 0.37961152 0.2412347
## [1245,] 0.23128057 0.22846496 0.5402545
## [1246,] 0.30313998 0.30191409 0.3949459
## [1247,] 0.17605517 0.17412699 0.6498178
## [1248,] 0.15593208 0.15414761 0.6899203
## [1249,] 0.11659848 0.11535860 0.7680429
## [1250,] 0.38161975 0.38044986 0.2379304
## [1251,] 0.37346840 0.37475427 0.2517773
## [1252,] 0.38658135 0.38604026 0.2273784
## [1253,] 0.39118663 0.39260994 0.2162034
## [1254,] 0.38396682 0.38469797 0.2313352
## [1255,] 0.40334644 0.40249520 0.1941584
## [1256,] 0.31181103 0.30839594 0.3797930
## [1257,] 0.36928170 0.36764907 0.2630692
## [1258,] 0.40926239 0.41155116 0.1791865
## [1259,] 0.25789667 0.25590446 0.4861989
## [1260,] 0.38141579 0.38388293 0.2347013
## [1261,] 0.26140262 0.25930943 0.4792879
## [1262,] 0.38518596 0.38693207 0.2278820
## [1263,] 0.38735298 0.38934846 0.2232986
## [1264,] 0.10670100 0.10516882 0.7881302
## [1265,] 0.24570867 0.24334723 0.5109441
## [1266,] 0.37425933 0.37619802 0.2495426
## [1267,] 0.35126288 0.34955794 0.2991792
## [1268,] 0.15275568 0.15103222 0.6962121
## [1269,] 0.23942629 0.23586525 0.5247085
## [1270,] 0.42163877 0.42554611 0.1528151
## [1271,] 0.37403512 0.37338297 0.2525819
## [1272,] 0.41357320 0.41392066 0.1725061
## [1273,] 0.30563697 0.30388395 0.3904791
## [1274,] 0.33158805 0.32825060 0.3401614
## [1275,] 0.15964133 0.15790742 0.6824513
## [1276,] 0.37413674 0.37295813 0.2529051
## [1277,] 0.26019273 0.25851041 0.4812969
## [1278,] 0.32291763 0.32225654 0.3548258
## [1279,] 0.38712144 0.38888332 0.2239952
## [1280,] 0.31665931 0.31066976 0.3726709
## [1281,] 0.38488864 0.38739574 0.2277156
## [1282,] 0.35745624 0.35793154 0.2846122
## [1283,] 0.12014550 0.11857109 0.7612834
## [1284,] 0.35199449 0.34874048 0.2992650
## [1285,] 0.34725808 0.34603491 0.3067070
## [1286,] 0.09241216 0.09134054 0.8162473
## [1287,] 0.34786316 0.34612053 0.3060163
## [1288,] 0.18028909 0.17804617 0.6416647
## [1289,] 0.37903865 0.38105776 0.2399036
## [1290,] 0.41084319 0.41254468 0.1766121
## [1291,] 0.18803964 0.18615226 0.6258081
## [1292,] 0.13489242 0.13347273 0.7316349
## [1293,] 0.14720518 0.14546178 0.7073330
## [1294,] 0.15343506 0.15164278 0.6949222
## [1295,] 0.16296146 0.16081466 0.6762239
## [1296,] 0.30658470 0.30251365 0.3909016
## [1297,] 0.16341716 0.16178851 0.6747943
## [1298,] 0.38305827 0.38145463 0.2354871
## [1299,] 0.38419500 0.38687829 0.2289267
## [1300,] 0.18473594 0.18249038 0.6327737
## [1301,] 0.31581221 0.31494338 0.3692444
## [1302,] 0.37818730 0.38009556 0.2417171
## [1303,] 0.18151122 0.17950345 0.6389853
## [1304,] 0.22586134 0.22232285 0.5518158
## [1305,] 0.39528084 0.39790300 0.2068162
## [1306,] 0.38907601 0.38473706 0.2261869
## [1307,] 0.28546149 0.28142005 0.4331185
## [1308,] 0.38356439 0.38495208 0.2314835
## [1309,] 0.35093952 0.35115195 0.2979085
## [1310,] 0.39787466 0.39717494 0.2049504
## [1311,] 0.42298250 0.41913118 0.1578863
## [1312,] 0.40158074 0.40440275 0.1940165
## [1313,] 0.27408859 0.26894413 0.4569673
## [1314,] 0.39225446 0.39405993 0.2136856
## [1315,] 0.28225025 0.27935722 0.4383925
## [1316,] 0.12801421 0.12622995 0.7457558
## [1317,] 0.37607368 0.37178657 0.2521397
## [1318,] 0.11426892 0.11275370 0.7729774
## [1319,] 0.09441360 0.09294071 0.8126457
## [1320,] 0.13727593 0.13581857 0.7269055
## [1321,] 0.41872102 0.42369534 0.1575836
## [1322,] 0.33055666 0.32388179 0.3455616
## [1323,] 0.40422056 0.40721445 0.1885650
## [1324,] 0.33018040 0.32981394 0.3400057
## [1325,] 0.16003948 0.15831609 0.6816444
## [1326,] 0.38900525 0.38862653 0.2223682
## [1327,] 0.18979838 0.18766266 0.6225390
## [1328,] 0.11047846 0.10899617 0.7805254
## [1329,] 0.30469255 0.30358674 0.3917207
## [1330,] 0.38582532 0.38736027 0.2268144
## [1331,] 0.14526923 0.14363479 0.7110960
## [1332,] 0.31478080 0.31234127 0.3728779
## [1333,] 0.38404935 0.38535533 0.2305953
## [1334,] 0.39969299 0.40323708 0.1970699
## [1335,] 0.35942934 0.36005098 0.2805197
## [1336,] 0.34833355 0.34192379 0.3097427
## [1337,] 0.40485232 0.40929639 0.1858513
## [1338,] 0.20244648 0.19999230 0.5975612
## [1339,] 0.18875668 0.18626794 0.6249754
## [1340,] 0.27670526 0.27423204 0.4490627
## [1341,] 0.32684673 0.32443740 0.3487159
## [1342,] 0.34270562 0.33763281 0.3196616
## [1343,] 0.34664226 0.34559333 0.3077644
## [1344,] 0.19595676 0.19386537 0.6101779
## [1345,] 0.12413046 0.12282385 0.7530457
## [1346,] 0.14357246 0.14187603 0.7145515
## [1347,] 0.18152388 0.17916955 0.6393066
## [1348,] 0.38172508 0.37856591 0.2397090
## [1349,] 0.37536953 0.37379438 0.2508361
## [1350,] 0.40334282 0.40646163 0.1901955
## [1351,] 0.40901230 0.41229285 0.1786948
## [1352,] 0.39672057 0.39938563 0.2038938
## [1353,] 0.14085706 0.13945574 0.7196872
## [1354,] 0.31412932 0.30954388 0.3763268
## [1355,] 0.39447814 0.39695600 0.2085659
## [1356,] 0.40002697 0.40176404 0.1982090
## [1357,] 0.26444745 0.26256579 0.4729868
## [1358,] 0.41604155 0.41671154 0.1672469
## [1359,] 0.39296350 0.39626435 0.2107721
## [1360,] 0.10527656 0.10360858 0.7911149
## [1361,] 0.34307161 0.33862668 0.3183017
## [1362,] 0.25781025 0.25603048 0.4861593
## [1363,] 0.31222927 0.30873583 0.3790349
## [1364,] 0.41745128 0.41992170 0.1626270
## [1365,] 0.34046953 0.33817870 0.3213518
## [1366,] 0.39847533 0.40047752 0.2010472
## [1367,] 0.32335286 0.31600273 0.3606444
## [1368,] 0.15666863 0.15509163 0.6882397
## [1369,] 0.13744948 0.13549782 0.7270527
## [1370,] 0.32951262 0.32615881 0.3443286
## [1371,] 0.28532003 0.28092882 0.4337511
## [1372,] 0.15594050 0.15380715 0.6902524
## [1373,] 0.19568579 0.19386408 0.6104501
## [1374,] 0.34503203 0.34289614 0.3120718
## [1375,] 0.40712566 0.40381693 0.1890574
## [1376,] 0.30959244 0.30508660 0.3853210
## [1377,] 0.31277440 0.30928146 0.3779441
## [1378,] 0.28605905 0.28452389 0.4294171
## [1379,] 0.32809093 0.32528385 0.3466252
## [1380,] 0.30508344 0.29839719 0.3965194
## [1381,] 0.23076395 0.22676992 0.5424661
## [1382,] 0.17557043 0.17265127 0.6517783
## [1383,] 0.16509841 0.16310958 0.6717920
## [1384,] 0.11974322 0.11819377 0.7620630
## [1385,] 0.13513741 0.13367932 0.7311833
## [1386,] 0.38071400 0.38249922 0.2367868
## [1387,] 0.13739758 0.13588572 0.7267167
## [1388,] 0.14162172 0.13985820 0.7185201
## [1389,] 0.12336642 0.12176933 0.7548642
## [1390,] 0.43245118 0.43969769 0.1278511
## [1391,] 0.29208229 0.28848531 0.4194324
## [1392,] 0.13279787 0.13112359 0.7360785
## [1393,] 0.12636243 0.12496859 0.7486690
## [1394,] 0.14885857 0.14689229 0.7042491
## [1395,] 0.11885663 0.11745584 0.7636875
## [1396,] 0.37757182 0.37508945 0.2473387
## [1397,] 0.14393339 0.14221529 0.7138513
## [1398,] 0.08617551 0.08510293 0.8287216
## [1399,] 0.40839838 0.40588831 0.1857133
## [1400,] 0.32182877 0.31854719 0.3596240
## [1401,] 0.24903229 0.24513543 0.5058323
## [1402,] 0.39990674 0.39569464 0.2043986
## [1403,] 0.23629421 0.23277736 0.5309284
## [1404,] 0.31810489 0.31455845 0.3673367
## [1405,] 0.34106715 0.33787295 0.3210599
## [1406,] 0.14751847 0.14529037 0.7071912
## [1407,] 0.28404626 0.27875302 0.4372007
## [1408,] 0.44236361 0.44353912 0.1140973
## [1409,] 0.37563967 0.36901372 0.2553466
## [1410,] 0.24342838 0.24080367 0.5157680
## [1411,] 0.41544731 0.41434479 0.1702079
## [1412,] 0.36415539 0.36486356 0.2709810
## [1413,] 0.14212490 0.14041493 0.7174602
## [1414,] 0.38351704 0.38593349 0.2305495
## [1415,] 0.17761413 0.17538213 0.6470037
## [1416,] 0.36585459 0.36353120 0.2706142
## [1417,] 0.18344551 0.18135957 0.6351949
## [1418,] 0.31374766 0.31098063 0.3752717
## [1419,] 0.17864527 0.17678629 0.6445684
## [1420,] 0.16316287 0.16104677 0.6757904
## [1421,] 0.20196430 0.20019226 0.5978434
## [1422,] 0.38075949 0.38241811 0.2368224
## [1423,] 0.38079174 0.37987426 0.2393340
## [1424,] 0.20222966 0.19964725 0.5981231
## [1425,] 0.18498318 0.18307490 0.6319419
## [1426,] 0.11438395 0.11294306 0.7726730
## [1427,] 0.10406887 0.10290525 0.7930259
## [1428,] 0.11192204 0.11068173 0.7773962
## [1429,] 0.09058773 0.08925222 0.8201601
## [1430,] 0.35790563 0.35736984 0.2847245
## [1431,] 0.10023452 0.09910055 0.8006649
## [1432,] 0.09190203 0.09084309 0.8172549
## [1433,] 0.38311395 0.38513468 0.2317514
## [1434,] 0.11210412 0.11054480 0.7773511
## [1435,] 0.30243715 0.29873291 0.3988299
## [1436,] 0.25572679 0.25368675 0.4905865
## [1437,] 0.24903229 0.24513543 0.5058323
## [1438,] 0.18812370 0.18624967 0.6256266
## [1439,] 0.28424476 0.28222055 0.4335347
## [1440,] 0.11405732 0.11254168 0.7734010
## [1441,] 0.10664404 0.10507840 0.7882776
## [1442,] 0.14857083 0.14680295 0.7046262
## [1443,] 0.22498804 0.22295078 0.5520612
## [1444,] 0.39124939 0.39368783 0.2150628
## [1445,] 0.38404340 0.38639893 0.2295577
## [1446,] 0.34917582 0.34784030 0.3029839
## [1447,] 0.40135208 0.40470636 0.1939416
## [1448,] 0.36274867 0.36126604 0.2759853
## [1449,] 0.43684325 0.44371357 0.1194432
## [1450,] 0.41024824 0.40555494 0.1841968
## [1451,] 0.12694487 0.12503847 0.7480167
## [1452,] 0.40183470 0.40559931 0.1925660
## [1453,] 0.40009441 0.40335980 0.1965458
## [1454,] 0.12272434 0.12132733 0.7559483
## [1455,] 0.34744917 0.34389735 0.3086535
## [1456,] 0.41946040 0.42398757 0.1565520
## [1457,] 0.28541208 0.28232312 0.4322648
## [1458,] 0.12298014 0.12111835 0.7559015
## [1459,] 0.38186452 0.38397534 0.2341601
## [1460,] 0.38074664 0.38080369 0.2384497
## [1461,] 0.36023008 0.35797817 0.2817917
## [1462,] 0.34354278 0.34339442 0.3130628
## [1463,] 0.31875371 0.31802276 0.3632235
## [1464,] 0.10189615 0.10060817 0.7974957
## [1465,] 0.13829849 0.13683387 0.7248676
## [1466,] 0.38759968 0.38789132 0.2245090
## [1467,] 0.35499006 0.34909876 0.2959112
## [1468,] 0.39658284 0.39918762 0.2042295
## [1469,] 0.18288417 0.18089254 0.6362233
## [1470,] 0.43371876 0.43627564 0.1300056
## [1471,] 0.14029467 0.13844533 0.7212600
## [1472,] 0.14079291 0.13888284 0.7203242
## [1473,] 0.18406628 0.18162934 0.6343044
## [1474,] 0.36938332 0.36996230 0.2606544
## [1475,] 0.42173315 0.42235049 0.1559164
## [1476,] 0.20057169 0.19736963 0.6020587
## [1477,] 0.40158074 0.40440275 0.1940165
## [1478,] 0.25215952 0.24899002 0.4988505
## [1479,] 0.26041007 0.25733990 0.4822500
## [1480,] 0.37514800 0.37418594 0.2506661
## [1481,] 0.37966174 0.38059353 0.2397447
## [1482,] 0.41587874 0.41280055 0.1713207
## [1483,] 0.11768940 0.11641408 0.7658965
## [1484,] 0.09159141 0.09051456 0.8178940
## [1485,] 0.39374066 0.39605812 0.2102012
## [1486,] 0.41935318 0.41892430 0.1617225
## [1487,] 0.39428723 0.39686788 0.2088449
## [1488,] 0.31888164 0.31724952 0.3638688
## [1489,] 0.39445068 0.39614016 0.2094092
## [1490,] 0.26838487 0.26465074 0.4669644
## [1491,] 0.36527605 0.36417776 0.2705462
## [1492,] 0.22033502 0.21703007 0.5626349
## [1493,] 0.37847473 0.38050808 0.2410172
## [1494,] 0.34777361 0.34466163 0.3075648
## [1495,] 0.12409567 0.12259905 0.7533053
## [1496,] 0.39798148 0.40140160 0.2006169
## [1497,] 0.09319123 0.09207683 0.8147319
## [1498,] 0.35435989 0.35284162 0.2927985
## [1499,] 0.42172840 0.42352361 0.1547480
## [1500,] 0.42461628 0.42868776 0.1466960
## [1501,] 0.32248918 0.31886206 0.3586488
## [1502,] 0.09190203 0.09084309 0.8172549
## [1503,] 0.31192660 0.30926281 0.3788106
## [1504,] 0.34139610 0.33968440 0.3189195
## [1505,] 0.36713380 0.36713056 0.2657356
## [1506,] 0.36758194 0.36753430 0.2648838
## [1507,] 0.35761405 0.35568659 0.2866994
## [1508,] 0.37598259 0.37675159 0.2472658
## [1509,] 0.38688010 0.38940930 0.2237106
## [1510,] 0.40998433 0.40702529 0.1829904
## [1511,] 0.40351459 0.40733962 0.1891458
## [1512,] 0.18101151 0.17849320 0.6404953
## [1513,] 0.41329499 0.41601718 0.1706878
## [1514,] 0.39344544 0.39642178 0.2101328
## [1515,] 0.26390307 0.26181360 0.4742833
## [1516,] 0.23520426 0.23234309 0.5324526
## [1517,] 0.37806146 0.37449153 0.2474470
## [1518,] 0.16346430 0.16171804 0.6748177
## [1519,] 0.09655516 0.09534716 0.8080977
## [1520,] 0.24164032 0.23971629 0.5186434
## [1521,] 0.40281759 0.40594759 0.1912348
## [1522,] 0.39714621 0.40057719 0.2022766
## [1523,] 0.12382676 0.12240809 0.7537652
## [1524,] 0.12035824 0.11892523 0.7607165
## [1525,] 0.21703990 0.21548552 0.5674746
## [1526,] 0.34450935 0.34265914 0.3128315
## [1527,] 0.39361826 0.39707958 0.2093022
## [1528,] 0.13310453 0.13124498 0.7356505
## [1529,] 0.37538588 0.37720041 0.2474137
## [1530,] 0.18825408 0.18568850 0.6260574
## [1531,] 0.37670654 0.37596972 0.2473237
## [1532,] 0.30532440 0.30272656 0.3919490
## [1533,] 0.41244586 0.41039692 0.1771572
## [1534,] 0.25457712 0.25196351 0.4934594
## [1535,] 0.16883157 0.16701124 0.6641572
## [1536,] 0.24750897 0.24500724 0.5074838
## [1537,] 0.15892237 0.15740945 0.6836682
## [1538,] 0.40095139 0.40390214 0.1951465
## [1539,] 0.36009144 0.35840467 0.2815039
## [1540,] 0.38714125 0.38707412 0.2257846
## [1541,] 0.14547523 0.14374628 0.7107785
## [1542,] 0.40831737 0.40706707 0.1846156
## [1543,] 0.39820937 0.40161263 0.2001780
## [1544,] 0.23604155 0.23370741 0.5302510
## [1545,] 0.37581712 0.37199129 0.2521916
## [1546,] 0.10093142 0.09966598 0.7994026
## [1547,] 0.20821459 0.20598685 0.5857986
## [1548,] 0.26835817 0.26597457 0.4656673
## [1549,] 0.42099859 0.41693173 0.1620697
## [1550,] 0.11630996 0.11484083 0.7688492
## [1551,] 0.28058350 0.27777851 0.4416380
## [1552,] 0.41662178 0.41896014 0.1644181
## [1553,] 0.39210274 0.39363333 0.2142639
## [1554,] 0.37958798 0.38105169 0.2393603
## [1555,] 0.41775567 0.41857867 0.1636657
## [1556,] 0.13991302 0.13814660 0.7219404
## [1557,] 0.31108267 0.30910384 0.3798135
## [1558,] 0.11834520 0.11707597 0.7645788
## [1559,] 0.19363226 0.19154620 0.6148215
## [1560,] 0.42299926 0.42456103 0.1524397
## [1561,] 0.11405732 0.11254168 0.7734010
## [1562,] 0.33264164 0.32877699 0.3385814
## [1563,] 0.13643331 0.13502702 0.7285397
## [1564,] 0.39615510 0.39895944 0.2048855
## [1565,] 0.10685644 0.10548788 0.7876557
## [1566,] 0.33348202 0.32781594 0.3387020
## [1567,] 0.38460056 0.38417456 0.2312249
## [1568,] 0.41640644 0.41742793 0.1661656
## [1569,] 0.33499720 0.33228265 0.3327201
## [1570,] 0.35071035 0.34893007 0.3003596
## [1571,] 0.38405743 0.38579171 0.2301509
## [1572,] 0.31931065 0.31862447 0.3620649
## [1573,] 0.38949608 0.39245399 0.2180499
## [1574,] 0.09538924 0.09429878 0.8103120
## [1575,] 0.31192660 0.30926281 0.3788106
## [1576,] 0.25389357 0.24966554 0.4964409
## [1577,] 0.25822908 0.25662502 0.4851459
## [1578,] 0.37695686 0.37821903 0.2448241
## [1579,] 0.18101763 0.17873819 0.6402442
## [1580,] 0.37530923 0.37010527 0.2545855
## [1581,] 0.18100790 0.17929673 0.6396954
## [1582,] 0.40224706 0.40469750 0.1930554
## [1583,] 0.40549051 0.40786311 0.1866464
## [1584,] 0.22428208 0.22114278 0.5545751
## [1585,] 0.39880313 0.40138613 0.1998107
## [1586,] 0.28546206 0.28363071 0.4309072
## [1587,] 0.25440997 0.25152953 0.4940605
## [1588,] 0.36931963 0.36802936 0.2626510
## [1589,] 0.24288280 0.24025162 0.5168656
## [1590,] 0.39397220 0.39671250 0.2093153
## [1591,] 0.19819965 0.19516163 0.6066387
## [1592,] 0.39072034 0.39329954 0.2159801
## [1593,] 0.25134022 0.24960990 0.4990499
## [1594,] 0.27408859 0.26894413 0.4569673
## [1595,] 0.23720033 0.23397707 0.5288226
## [1596,] 0.33557586 0.33230283 0.3321213
## [1597,] 0.19401524 0.19161478 0.6143700
## [1598,] 0.29476686 0.29269510 0.4125380
## [1599,] 0.39351880 0.39619965 0.2102816
## [1600,] 0.18082896 0.17909428 0.6400768
## [1601,] 0.36026441 0.35507010 0.2846655
## [1602,] 0.38992359 0.39292921 0.2171472
## [1603,] 0.38826179 0.38888782 0.2228504
## [1604,] 0.13329245 0.13150422 0.7352033
## [1605,] 0.11774068 0.11616039 0.7660989
## [1606,] 0.14002248 0.13823403 0.7217435
## [1607,] 0.42234233 0.42377683 0.1538808
## [1608,] 0.34567022 0.34436166 0.3099681
## [1609,] 0.32971518 0.32400201 0.3462828
## [1610,] 0.38097564 0.37719979 0.2418246
## [1611,] 0.40381992 0.40735590 0.1888242
## [1612,] 0.18160616 0.17964719 0.6387467
## [1613,] 0.38167945 0.38326105 0.2350595
## [1614,] 0.20748910 0.20493338 0.5875775
## [1615,] 0.22159417 0.21941953 0.5589863
## [1616,] 0.39485924 0.39710377 0.2080370
## [1617,] 0.10487634 0.10371914 0.7914045
## [1618,] 0.27495600 0.27207156 0.4529724
## [1619,] 0.31412932 0.30954388 0.3763268
## [1620,] 0.37873442 0.37752451 0.2437411
## [1621,] 0.29606865 0.29361608 0.4103153
## [1622,] 0.14590012 0.14421080 0.7098891
## [1623,] 0.40358718 0.40775453 0.1886583
## [1624,] 0.32718066 0.32444688 0.3483725
## [1625,] 0.21950734 0.21577113 0.5647215
## [1626,] 0.26019254 0.25607453 0.4837329
## [1627,] 0.38550817 0.38493059 0.2295612
## [1628,] 0.38590811 0.38643180 0.2276601
## [1629,] 0.23679500 0.23471490 0.5284901
## [1630,] 0.08663435 0.08554459 0.8278211
## [1631,] 0.41695722 0.41938069 0.1636621
## [1632,] 0.14247435 0.14027112 0.7172545
## [1633,] 0.12667225 0.12469782 0.7486299
## [1634,] 0.11249144 0.11127775 0.7762308
## [1635,] 0.34589534 0.34205404 0.3120506
## [1636,] 0.36010697 0.35676903 0.2831240
## [1637,] 0.37737792 0.37152376 0.2510983
## [1638,] 0.41648234 0.42092669 0.1625910
## [1639,] 0.14125990 0.13932192 0.7194182
## [1640,] 0.14545744 0.14394057 0.7106020
## [1641,] 0.11598240 0.11446293 0.7695547
## [1642,] 0.34930581 0.34929759 0.3013966
## [1643,] 0.34371561 0.34086228 0.3154221
## [1644,] 0.15719717 0.15565050 0.6871523
## [1645,] 0.38015213 0.38137027 0.2384776
## [1646,] 0.22429609 0.22225069 0.5534532
## [1647,] 0.32421897 0.31726891 0.3585121
## [1648,] 0.38635836 0.38674571 0.2268959
## [1649,] 0.39330914 0.39528042 0.2114104
## [1650,] 0.16453072 0.16192037 0.6735489
## [1651,] 0.18188022 0.17998448 0.6381353
## [1652,] 0.39642042 0.39882702 0.2047526
## [1653,] 0.24760197 0.24520129 0.5071967
## [1654,] 0.35325951 0.35401740 0.2927231
## [1655,] 0.16467997 0.16237927 0.6729408
## [1656,] 0.11131683 0.11003293 0.7786502
## [1657,] 0.28420965 0.27964839 0.4361420
## [1658,] 0.42644780 0.42666608 0.1468861
## [1659,] 0.39342274 0.39028883 0.2162884
## [1660,] 0.38214906 0.38429851 0.2335524
## [1661,] 0.32979202 0.32658609 0.3436219
## [1662,] 0.23259709 0.23063835 0.5367646
## [1663,] 0.43512413 0.43367114 0.1312047
## [1664,] 0.10649258 0.10480481 0.7887026
## [1665,] 0.19023415 0.18809734 0.6216685
## [1666,] 0.12004827 0.11867261 0.7612791
## [1667,] 0.38965816 0.38748226 0.2228596
## [1668,] 0.19984807 0.19742477 0.6027272
## [1669,] 0.38994568 0.39070083 0.2193535
## [1670,] 0.39118663 0.39260994 0.2162034
## [1671,] 0.33349576 0.33258667 0.3339176
## [1672,] 0.39476975 0.39804588 0.2071844
## [1673,] 0.39218651 0.39458857 0.2132249
## [1674,] 0.39498517 0.39727143 0.2077434
## [1675,] 0.41926091 0.42285160 0.1578875
## [1676,] 0.21891303 0.21673095 0.5643560
## [1677,] 0.17226725 0.16994364 0.6577891
## [1678,] 0.12848990 0.12713400 0.7443761
## [1679,] 0.25863709 0.25552980 0.4858331
## [1680,] 0.10203255 0.10082988 0.7971376
## [1681,] 0.39759741 0.40098527 0.2014173
## [1682,] 0.17474761 0.17216902 0.6530834
## [1683,] 0.13862187 0.13664719 0.7247309
## [1684,] 0.15636875 0.15486867 0.6887626
## [1685,] 0.29211982 0.28703212 0.4208481
## [1686,] 0.17647159 0.17447497 0.6490534
## [1687,] 0.39956653 0.40269337 0.1977401
## [1688,] 0.34585029 0.34551431 0.3086354
## [1689,] 0.41844460 0.41883401 0.1627214
## [1690,] 0.42020596 0.42570921 0.1540848
## [1691,] 0.38129798 0.37524470 0.2434573
## [1692,] 0.43587154 0.44130822 0.1228202
## [1693,] 0.11595658 0.11471612 0.7693273
## [1694,] 0.12843115 0.12709505 0.7444738
## [1695,] 0.17473941 0.17278150 0.6524791
## [1696,] 0.39554531 0.39648407 0.2079706
## [1697,] 0.15967121 0.15783674 0.6824920
## [1698,] 0.36719576 0.36760518 0.2651991
## [1699,] 0.15883720 0.15694023 0.6842226
## [1700,] 0.39666255 0.39886874 0.2044687
## [1701,] 0.40222880 0.40291327 0.1948579
## [1702,] 0.10385295 0.10226495 0.7938821
## [1703,] 0.09935960 0.09807161 0.8025688
## [1704,] 0.36561957 0.36153209 0.2728483
## [1705,] 0.24993468 0.24786367 0.5022016
## [1706,] 0.15476071 0.15281635 0.6924229
## [1707,] 0.38802442 0.38825104 0.2237245
## [1708,] 0.26480193 0.25955636 0.4756417
## [1709,] 0.38049109 0.38126823 0.2382407
## [1710,] 0.31210067 0.30850739 0.3793919
## [1711,] 0.35907513 0.35990975 0.2810151
## [1712,] 0.37705356 0.37821971 0.2447267
## [1713,] 0.22624422 0.22356854 0.5501872
## [1714,] 0.38798612 0.39067836 0.2213355
## [1715,] 0.09350449 0.09232809 0.8141674
## [1716,] 0.32340961 0.32128985 0.3553005
## [1717,] 0.42826028 0.42629040 0.1454493
## [1718,] 0.09546066 0.09413027 0.8104091
## [1719,] 0.19387410 0.19075659 0.6153693
## [1720,] 0.38355536 0.38335746 0.2330872
## [1721,] 0.31571562 0.31510926 0.3691751
## [1722,] 0.37729655 0.37886659 0.2438369
## [1723,] 0.38082791 0.38300453 0.2361676
## [1724,] 0.40199315 0.40539478 0.1926121
## [1725,] 0.28345078 0.28084569 0.4357035
## [1726,] 0.23465359 0.23267509 0.5326713
## [1727,] 0.27886508 0.27597996 0.4451550
## [1728,] 0.18144479 0.17911778 0.6394374
## [1729,] 0.40831737 0.40706707 0.1846156
## [1730,] 0.39869359 0.40109923 0.2002072
## [1731,] 0.10319020 0.10165750 0.7951523
## [1732,] 0.18498318 0.18307490 0.6319419
## [1733,] 0.26268131 0.26071942 0.4765993
## [1734,] 0.39596888 0.39943226 0.2045989
## [1735,] 0.40261120 0.40315197 0.1942368
## [1736,] 0.40183012 0.40253396 0.1956359
## [1737,] 0.36105100 0.35675247 0.2821965
## [1738,] 0.39375385 0.39596789 0.2102783
## [1739,] 0.33908232 0.33697514 0.3239425
## [1740,] 0.13262623 0.13117778 0.7361960
## [1741,] 0.31291469 0.31053898 0.3765463
## [1742,] 0.27109408 0.26750323 0.4614027
## [1743,] 0.28147805 0.27925582 0.4392661
## [1744,] 0.39813577 0.40055113 0.2013131
## [1745,] 0.36618857 0.36280195 0.2710095
## [1746,] 0.40116381 0.40500041 0.1938358
## [1747,] 0.15811067 0.15632377 0.6855656
## [1748,] 0.41705428 0.41915502 0.1637907
## [1749,] 0.41638774 0.41745228 0.1661600
## [1750,] 0.37677142 0.37841225 0.2448163
## [1751,] 0.37122860 0.37008719 0.2586842
## [1752,] 0.33184432 0.32680694 0.3413487
## [1753,] 0.15306734 0.15149990 0.6954328
## [1754,] 0.34585394 0.34372452 0.3104215
## [1755,] 0.10443418 0.10292066 0.7926452
## [1756,] 0.18364654 0.18136363 0.6349898
## [1757,] 0.13216793 0.13021803 0.7376140
## [1758,] 0.25089878 0.24875530 0.5003459
## [1759,] 0.12974034 0.12795038 0.7423093
## [1760,] 0.38576391 0.38687637 0.2273597
## [1761,] 0.41616266 0.41706501 0.1667723
## [1762,] 0.09681772 0.09566060 0.8075217
## [1763,] 0.40431016 0.40139630 0.1942935
## [1764,] 0.43507199 0.43676846 0.1281595
## [1765,] 0.12057578 0.11917991 0.7602443
## [1766,] 0.42726578 0.42770304 0.1450312
## [1767,] 0.12691316 0.12552281 0.7475640
## [1768,] 0.40485232 0.40929639 0.1858513
## [1769,] 0.18302005 0.18095298 0.6360270
## [1770,] 0.30707824 0.30458493 0.3883368
## [1771,] 0.23143625 0.22937403 0.5391897
## [1772,] 0.24198665 0.23888786 0.5191255
## [1773,] 0.40552162 0.40734669 0.1871317
## [1774,] 0.40972950 0.41439339 0.1758771
## [1775,] 0.17520610 0.17280011 0.6519938
## [1776,] 0.27886508 0.27597996 0.4451550
## [1777,] 0.16025439 0.15826570 0.6814799
## [1778,] 0.21336007 0.21023333 0.5764066
## [1779,] 0.13189886 0.13035228 0.7377489
## [1780,] 0.38559129 0.38703281 0.2273759
## [1781,] 0.09288174 0.09175847 0.8153598
## [1782,] 0.13504264 0.13290908 0.7320483
## [1783,] 0.40186998 0.40378685 0.1943432
## [1784,] 0.39568560 0.39356667 0.2107477
## [1785,] 0.29235330 0.28943460 0.4182121
## [1786,] 0.20090838 0.19765936 0.6014323
## [1787,] 0.35193956 0.34651351 0.3015469
## [1788,] 0.08819772 0.08707634 0.8247259
## [1789,] 0.35816398 0.35810921 0.2837268
## [1790,] 0.42957457 0.43306273 0.1373627
## [1791,] 0.15728774 0.15510162 0.6876106
## [1792,] 0.16296146 0.16081466 0.6762239
## [1793,] 0.39486782 0.39769867 0.2074335
## [1794,] 0.12382676 0.12240809 0.7537652
## [1795,] 0.29356539 0.29117756 0.4152570
## [1796,] 0.11028823 0.10885695 0.7808548
## [1797,] 0.37924700 0.37579648 0.2449565
## [1798,] 0.11125714 0.10986682 0.7788760
## [1799,] 0.36119067 0.36026010 0.2785492
## [1800,] 0.38015213 0.38137027 0.2384776
## [1801,] 0.41030067 0.41308149 0.1766178
## [1802,] 0.39339347 0.39519334 0.2114132
## [1803,] 0.19193097 0.18903430 0.6190347
## [1804,] 0.32177901 0.31927395 0.3589470
## [1805,] 0.26038180 0.25831508 0.4813031
## [1806,] 0.40998433 0.40702529 0.1829904
## [1807,] 0.34809824 0.34768798 0.3042138
## [1808,] 0.18284690 0.18057316 0.6365799
## [1809,] 0.38440342 0.38681327 0.2287833
## [1810,] 0.39226605 0.39448836 0.2132456
## [1811,] 0.10391504 0.10249934 0.7935856
## [1812,] 0.37866248 0.37588338 0.2454541
## [1813,] 0.37548723 0.37628404 0.2482287
## [1814,] 0.37435844 0.37624708 0.2493945
## [1815,] 0.41197108 0.41532430 0.1727046
## [1816,] 0.14189651 0.14044350 0.7176600
## [1817,] 0.38944232 0.38927492 0.2212828
## [1818,] 0.40325077 0.40633095 0.1904183
## [1819,] 0.35616798 0.35217032 0.2916617
## [1820,] 0.14790939 0.14617236 0.7059182
## [1821,] 0.37813965 0.37816032 0.2437000
## [1822,] 0.11566928 0.11401648 0.7703142
## [1823,] 0.10527656 0.10360858 0.7911149
## [1824,] 0.42120119 0.42319711 0.1556017
## [1825,] 0.38659865 0.38818804 0.2252133
## [1826,] 0.10705083 0.10586788 0.7870813
## [1827,] 0.33066240 0.32533319 0.3440044
## [1828,] 0.39033347 0.39290614 0.2167604
## [1829,] 0.40192365 0.40532261 0.1927537
## [1830,] 0.24913353 0.24701813 0.5038483
## [1831,] 0.13003401 0.12843976 0.7415262
## [1832,] 0.24073730 0.23667524 0.5225875
## [1833,] 0.38664563 0.38447027 0.2288841
## [1834,] 0.12083242 0.11896034 0.7602072
## [1835,] 0.28962900 0.28698383 0.4233872
## [1836,] 0.15133518 0.14918204 0.6994828
## [1837,] 0.39820423 0.40158569 0.2002101
## [1838,] 0.32284408 0.31998767 0.3571682
## [1839,] 0.37046738 0.36781116 0.2617215
## [1840,] 0.38330138 0.38344069 0.2332579
## [1841,] 0.12856118 0.12686723 0.7445716
## [1842,] 0.37183062 0.37335533 0.2548141
## [1843,] 0.13201553 0.13053278 0.7374517
## [1844,] 0.42235720 0.42646204 0.1511808
## [1845,] 0.28693395 0.28215538 0.4309107
## [1846,] 0.36456851 0.36526586 0.2701656
## [1847,] 0.29824300 0.29688180 0.4048752
## [1848,] 0.18078345 0.17868762 0.6405289
## [1849,] 0.34659672 0.34089818 0.3125051
## [1850,] 0.11022848 0.10897427 0.7807972
## [1851,] 0.35270612 0.35320064 0.2940932
## [1852,] 0.13922770 0.13782111 0.7229512
## [1853,] 0.40990577 0.41377056 0.1763237
## [1854,] 0.37784119 0.37947456 0.2426843
## [1855,] 0.41854105 0.42183818 0.1596208
## [1856,] 0.37357424 0.37351027 0.2529155
## [1857,] 0.21014826 0.20815878 0.5816930
## [1858,] 0.19481785 0.19268007 0.6125021
## [1859,] 0.41410132 0.41888069 0.1670180
## [1860,] 0.35170409 0.34917567 0.2991202
## [1861,] 0.40656297 0.40385095 0.1895861
## [1862,] 0.18857909 0.18669690 0.6247240
## [1863,] 0.40044281 0.39517434 0.2043828
## [1864,] 0.39846921 0.40116402 0.2003668
## [1865,] 0.39447814 0.39695600 0.2085659
## [1866,] 0.34764222 0.34637031 0.3059875
## [1867,] 0.13410632 0.13220403 0.7336896
## [1868,] 0.09252637 0.09145765 0.8160160
## [1869,] 0.25355942 0.25079624 0.4956443
## [1870,] 0.38033487 0.38251631 0.2371488
## [1871,] 0.09464633 0.09349479 0.8118589
## [1872,] 0.40233437 0.40510631 0.1925593
## [1873,] 0.13171705 0.12990137 0.7383816
## [1874,] 0.37404028 0.37021232 0.2557474
## [1875,] 0.24820853 0.24550851 0.5062830
## [1876,] 0.20082481 0.19878712 0.6003881
## [1877,] 0.37543598 0.37594466 0.2486194
## [1878,] 0.38718522 0.38998042 0.2228344
## [1879,] 0.42957967 0.42962380 0.1407965
## [1880,] 0.39771161 0.39894283 0.2033456
## [1881,] 0.39188235 0.39424993 0.2138677
## [1882,] 0.27732573 0.27572148 0.4469528
## [1883,] 0.20076054 0.19727518 0.6019643
## [1884,] 0.39674974 0.39743615 0.2058141
## [1885,] 0.20695761 0.20483036 0.5882120
## [1886,] 0.30560350 0.30227996 0.3921165
## [1887,] 0.15956452 0.15761403 0.6828214
## [1888,] 0.38702304 0.38930249 0.2236745
## [1889,] 0.39803701 0.39821359 0.2037494
## [1890,] 0.31193293 0.31019350 0.3778736
## [1891,] 0.39820711 0.40178466 0.2000082
## [1892,] 0.38029496 0.38245088 0.2372542
## [1893,] 0.09228304 0.09115231 0.8165646
## [1894,] 0.35524703 0.35423504 0.2905179
## [1895,] 0.38137525 0.38303807 0.2355867
## [1896,] 0.25952223 0.25454990 0.4859279
## [1897,] 0.25759058 0.25589321 0.4865162
## [1898,] 0.39246178 0.39504145 0.2124968
## [1899,] 0.35164967 0.35186005 0.2964903
## [1900,] 0.38562777 0.38063165 0.2337406
## [1901,] 0.13892143 0.13702269 0.7240559
## [1902,] 0.18274342 0.18077927 0.6364773
## [1903,] 0.35915692 0.35712278 0.2837203
## [1904,] 0.11329654 0.11186898 0.7748345
## [1905,] 0.32991798 0.32751006 0.3425720
## [1906,] 0.41745789 0.42208339 0.1604587
## [1907,] 0.41251131 0.41243759 0.1750511
## [1908,] 0.10398453 0.10272489 0.7932906
## [1909,] 0.16536507 0.16342560 0.6712093
## [1910,] 0.25931454 0.25764455 0.4830409
## [1911,] 0.39205435 0.39503915 0.2129065
## [1912,] 0.39814844 0.39963969 0.2022119
## [1913,] 0.40889424 0.41308979 0.1780160
## [1914,] 0.37775584 0.37862880 0.2436154
## [1915,] 0.38258051 0.38104323 0.2363763
## [1916,] 0.34196922 0.34155148 0.3164793
## [1917,] 0.19595676 0.19386537 0.6101779
## [1918,] 0.11611319 0.11468192 0.7692049
## [1919,] 0.21021513 0.20790738 0.5818775
## [1920,] 0.12188905 0.12037868 0.7577323
## [1921,] 0.24429995 0.24155960 0.5141404
## [1922,] 0.38479742 0.38644904 0.2287535
## [1923,] 0.35642617 0.35707860 0.2864952
## [1924,] 0.40100525 0.40397084 0.1950239
## [1925,] 0.35035990 0.35057229 0.2990678
## [1926,] 0.16428090 0.16267384 0.6730453
## [1927,] 0.34287519 0.34249635 0.3146285
## [1928,] 0.40668961 0.40988749 0.1834229
## [1929,] 0.41541962 0.41873388 0.1658465
## [1930,] 0.37797925 0.37507757 0.2469432
## [1931,] 0.18025511 0.17793804 0.6418069
## [1932,] 0.37809558 0.37368660 0.2482178
## [1933,] 0.09613438 0.09489196 0.8089737
## [1934,] 0.17036457 0.16877806 0.6608574
## [1935,] 0.43175084 0.43616881 0.1320803
## [1936,] 0.09664447 0.09530774 0.8080478
## [1937,] 0.36947417 0.36711785 0.2634080
## [1938,] 0.36699793 0.36458581 0.2684163
## [1939,] 0.19441730 0.19205882 0.6135239
## [1940,] 0.13015727 0.12875400 0.7410887
## [1941,] 0.37086351 0.37196686 0.2571696
## [1942,] 0.17669397 0.17443809 0.6488679
## [1943,] 0.10291347 0.10176305 0.7953235
## [1944,] 0.39910415 0.40243251 0.1984633
## [1945,] 0.15645632 0.15465855 0.6888851
## [1946,] 0.41596734 0.41975947 0.1642732
## [1947,] 0.38405402 0.38642262 0.2295234
## [1948,] 0.41816076 0.42166004 0.1601792
## [1949,] 0.10737091 0.10576120 0.7868679
## [1950,] 0.20057169 0.19736963 0.6020587
## [1951,] 0.24076898 0.23806951 0.5211615
## [1952,] 0.41278275 0.41028931 0.1769279
## [1953,] 0.42374177 0.42920891 0.1470493
## [1954,] 0.38796240 0.38939620 0.2226414
## [1955,] 0.35232732 0.34888472 0.2987880
## [1956,] 0.40528523 0.40844823 0.1862665
## [1957,] 0.09722620 0.09612273 0.8066511
## [1958,] 0.34038323 0.33789835 0.3217184
## [1959,] 0.38782007 0.39024257 0.2219374
## [1960,] 0.16453072 0.16192037 0.6735489
## [1961,] 0.41082931 0.41293920 0.1762315
## [1962,] 0.35013660 0.35033836 0.2995250
## [1963,] 0.18663150 0.18416352 0.6292050
## [1964,] 0.24535306 0.24269972 0.5119472
## [1965,] 0.20603294 0.20279506 0.5911720
## [1966,] 0.40595479 0.41029139 0.1837538
## [1967,] 0.43510562 0.43479042 0.1301040
## [1968,] 0.42961223 0.43387298 0.1365148
## [1969,] 0.39115024 0.39412671 0.2147230
## [1970,] 0.38090557 0.38229125 0.2368032
## [1971,] 0.37158587 0.37015842 0.2582557
## [1972,] 0.26369942 0.26198890 0.4743117
## [1973,] 0.29235330 0.28943460 0.4182121
## [1974,] 0.33056391 0.32447900 0.3449571
## [1975,] 0.22680441 0.22339649 0.5497991
## [1976,] 0.34576711 0.34544189 0.3087910
## [1977,] 0.37947484 0.38051121 0.2400140
## [1978,] 0.18052243 0.17802993 0.6414476
## [1979,] 0.22684129 0.22495148 0.5482072
## [1980,] 0.27254229 0.27097460 0.4564831
## [1981,] 0.20101888 0.19885608 0.6001250
## [1982,] 0.23143625 0.22937403 0.5391897
## [1983,] 0.38657078 0.38938894 0.2240403
## [1984,] 0.26785100 0.26450134 0.4676477
## [1985,] 0.30426295 0.30058992 0.3951471
## [1986,] 0.21381643 0.21149886 0.5746847
## [1987,] 0.24036765 0.23659023 0.5230421
## [1988,] 0.35390188 0.35194946 0.2941487
## [1989,] 0.10982800 0.10837368 0.7817983
## [1990,] 0.38161857 0.37629331 0.2420881
## [1991,] 0.39068936 0.39312429 0.2161863
## [1992,] 0.22601773 0.22252705 0.5514552
## [1993,] 0.39426021 0.39691557 0.2088242
## [1994,] 0.38345850 0.38492192 0.2316196
## [1995,] 0.14829292 0.14654976 0.7051573
## [1996,] 0.37266219 0.37391653 0.2534213
## [1997,] 0.37744137 0.37870091 0.2438577
## [1998,] 0.41090175 0.40158929 0.1875090
## [1999,] 0.30158294 0.29938419 0.3990329
## [2000,] 0.37450484 0.37019515 0.2553000
## [2001,] 0.10590892 0.10473604 0.7893550
## [2002,] 0.10524233 0.10408475 0.7906729
## [2003,] 0.23743324 0.23535650 0.5272103
## [2004,] 0.21132629 0.20931023 0.5793635
## [2005,] 0.16165698 0.15941000 0.6789330
## [2006,] 0.20361095 0.20107377 0.5953153
## [2007,] 0.41869675 0.42242219 0.1588811
## [2008,] 0.33143270 0.32902693 0.3395404
## [2009,] 0.33657436 0.33258053 0.3308451
## [2010,] 0.39972076 0.39541969 0.2048595
## [2011,] 0.40253932 0.40634858 0.1911121
## [2012,] 0.17819287 0.17602768 0.6457795
## [2013,] 0.37717377 0.37898146 0.2438448
## [2014,] 0.37220815 0.37280798 0.2549839
## [2015,] 0.40230815 0.40542302 0.1922688
## [2016,] 0.11630996 0.11484083 0.7688492
## [2017,] 0.26329268 0.26126867 0.4754386
## [2018,] 0.14688155 0.14499075 0.7081277
## [2019,] 0.31807721 0.31740280 0.3645200
## [2020,] 0.21867976 0.21645922 0.5648610
## [2021,] 0.08455561 0.08342704 0.8320174
## [2022,] 0.08808201 0.08699321 0.8249248
## [2023,] 0.25934891 0.25548777 0.4851633
## [2024,] 0.41776077 0.41622043 0.1660188
## [2025,] 0.41644295 0.41820787 0.1653492
## [2026,] 0.08690238 0.08578896 0.8273087
## [2027,] 0.16117749 0.15935664 0.6794659
## [2028,] 0.19340777 0.19136361 0.6152286
## [2029,] 0.37106299 0.37019324 0.2587438
## [2030,] 0.19399419 0.19207324 0.6139326
## [2031,] 0.37531844 0.37504090 0.2496407
## [2032,] 0.41224437 0.41106975 0.1766859
## [2033,] 0.11953802 0.11809450 0.7623675
## [2034,] 0.40169386 0.40328122 0.1950249
## [2035,] 0.31768835 0.31627096 0.3660407
## [2036,] 0.37872723 0.37362444 0.2476483
## [2037,] 0.40542365 0.40607307 0.1885033
## [2038,] 0.41278538 0.41149881 0.1757158
## [2039,] 0.15377528 0.15215808 0.6940666
## [2040,] 0.38824087 0.39024361 0.2215155
## [2041,] 0.40714876 0.40819505 0.1846562
## [2042,] 0.37095511 0.37087297 0.2581719
## [2043,] 0.11204981 0.11071832 0.7772319
## [2044,] 0.13419892 0.13268820 0.7331129
## [2045,] 0.32567157 0.32339780 0.3509306
## [2046,] 0.16434319 0.16204583 0.6736110
## [2047,] 0.23673748 0.23298262 0.5302799
## [2048,] 0.38572701 0.38771146 0.2265615
## [2049,] 0.37919723 0.38129683 0.2395059
## [2050,] 0.41463264 0.41888786 0.1664795
## [2051,] 0.14653679 0.14473159 0.7087316
## [2052,] 0.33857322 0.33664031 0.3247865
## [2053,] 0.43140382 0.43052508 0.1380711
## [2054,] 0.10107693 0.09958626 0.7993368
## [2055,] 0.19152886 0.18939567 0.6190755
## [2056,] 0.17964449 0.17744537 0.6429101
## [2057,] 0.38032233 0.38169696 0.2379807
## [2058,] 0.42299926 0.42456103 0.1524397
## [2059,] 0.39224675 0.39108135 0.2166719
## [2060,] 0.37749424 0.37692097 0.2455848
## [2061,] 0.10886466 0.10740743 0.7837279
## [2062,] 0.13023297 0.12861764 0.7411494
## [2063,] 0.43684325 0.44371357 0.1194432
## [2064,] 0.17474505 0.17258852 0.6526664
## [2065,] 0.41775567 0.41857867 0.1636657
## [2066,] 0.39600747 0.39700107 0.2069915
## [2067,] 0.20653348 0.20409493 0.5893716
## [2068,] 0.39614686 0.39580924 0.2080439
## [2069,] 0.16692835 0.16502996 0.6680417
## [2070,] 0.12149419 0.12016295 0.7583429
## [2071,] 0.37100824 0.36293027 0.2660615
## [2072,] 0.39517289 0.39684705 0.2079801
## [2073,] 0.10705083 0.10586788 0.7870813
## [2074,] 0.39418895 0.39524815 0.2105629
## [2075,] 0.41307314 0.41734854 0.1695783
## [2076,] 0.37813699 0.37813297 0.2437300
## [2077,] 0.10022068 0.09909394 0.8006854
## [2078,] 0.20396413 0.20173240 0.5943035
## [2079,] 0.16462234 0.16232407 0.6730536
## [2080,] 0.24052076 0.23643546 0.5230438
## [2081,] 0.13073527 0.12908906 0.7401757
## [2082,] 0.33684047 0.33297237 0.3301872
## [2083,] 0.32854646 0.32277926 0.3486743
## [2084,] 0.42461628 0.42868776 0.1466960
## [2085,] 0.39196687 0.39507683 0.2129563
## [2086,] 0.42041737 0.41985062 0.1597320
## [2087,] 0.41465690 0.41799438 0.1673487
## [2088,] 0.40151000 0.40398023 0.1945098
## [2089,] 0.17546824 0.17363789 0.6508939
## [2090,] 0.19884609 0.19643978 0.6047141
## [2091,] 0.31955817 0.31684531 0.3635965
## [2092,] 0.16062747 0.15885507 0.6805175
## [2093,] 0.37139698 0.36710676 0.2614963
## [2094,] 0.37849897 0.38051363 0.2409874
## [2095,] 0.37106299 0.37019324 0.2587438
## [2096,] 0.16679346 0.16481923 0.6683873
## [2097,] 0.38903793 0.39216519 0.2187969
## [2098,] 0.23031726 0.22643978 0.5432430
## [2099,] 0.37129737 0.37222261 0.2564800
## [2100,] 0.34421569 0.34405148 0.3117328
## [2101,] 0.15288805 0.15093718 0.6961748
## [2102,] 0.42571363 0.42587996 0.1484064
## [2103,] 0.23217413 0.23035467 0.5374712
## [2104,] 0.37853491 0.37887949 0.2425856
## [2105,] 0.18019229 0.17808690 0.6417208
## [2106,] 0.14778404 0.14616749 0.7060485
## [2107,] 0.26785100 0.26450134 0.4676477
## [2108,] 0.36751864 0.36663069 0.2658507
## [2109,] 0.25772877 0.25288600 0.4893852
## [2110,] 0.38812195 0.39059337 0.2212847
## [2111,] 0.35941814 0.35529861 0.2852833
## [2112,] 0.37652697 0.37619229 0.2472807
## [2113,] 0.13593937 0.13418018 0.7298804
## [2114,] 0.22653130 0.22324151 0.5502272
## [2115,] 0.32836304 0.32356162 0.3480753
## [2116,] 0.42588322 0.42556021 0.1485566
## [2117,] 0.12071269 0.11929525 0.7599921
## [2118,] 0.42306773 0.42436605 0.1525662
## [2119,] 0.41179979 0.41587653 0.1723237
## [2120,] 0.10948142 0.10831374 0.7822048
## [2121,] 0.10504756 0.10367034 0.7912821
## [2122,] 0.13265239 0.13107343 0.7362742
## [2123,] 0.19986227 0.19661813 0.6035196
## [2124,] 0.38916080 0.38943333 0.2214059
## [2125,] 0.27219157 0.27000438 0.4578041
## [2126,] 0.35805477 0.35868602 0.2832592
## [2127,] 0.39157832 0.38606556 0.2223561
## [2128,] 0.38620094 0.38805042 0.2257486
## [2129,] 0.39320651 0.39317861 0.2136149
## [2130,] 0.17732607 0.17564051 0.6470334
## [2131,] 0.12608318 0.12473160 0.7491852
## [2132,] 0.38232681 0.38408024 0.2335929
## [2133,] 0.32507216 0.32439722 0.3505306
## [2134,] 0.14252260 0.14090764 0.7165698
## [2135,] 0.39856769 0.40130127 0.2001310
## [2136,] 0.32164995 0.31695307 0.3613970
## [2137,] 0.29701112 0.29461129 0.4083776
## [2138,] 0.10694962 0.10577708 0.7872733
## [2139,] 0.30466126 0.30118486 0.3941539
## [2140,] 0.25922722 0.25669634 0.4840764
## [2141,] 0.12492578 0.12359379 0.7514804
## [2142,] 0.09740239 0.09599095 0.8066067
## [2143,] 0.17949305 0.17687037 0.6436366
## [2144,] 0.20518340 0.20291269 0.5919039
## [2145,] 0.36617078 0.36538831 0.2684409
## [2146,] 0.38600555 0.38741280 0.2265817
## [2147,] 0.13398369 0.13253815 0.7334782
## [2148,] 0.24185852 0.23889136 0.5192501
## [2149,] 0.26190628 0.25740184 0.4806919
## [2150,] 0.22650165 0.22345204 0.5500463
## [2151,] 0.12175916 0.12002756 0.7582133
## [2152,] 0.38260464 0.38468475 0.2327106
## [2153,] 0.15175955 0.14996122 0.6982792
## [2154,] 0.29701112 0.29461129 0.4083776
## [2155,] 0.14545744 0.14394057 0.7106020
## [2156,] 0.11915368 0.11770648 0.7631398
## [2157,] 0.17167028 0.16885850 0.6594712
## [2158,] 0.23325218 0.23068413 0.5360637
## [2159,] 0.37242477 0.37051841 0.2570568
## [2160,] 0.32973836 0.32515942 0.3451022
## [2161,] 0.40009678 0.40149621 0.1984070
## [2162,] 0.23440071 0.23143812 0.5341612
## [2163,] 0.34502599 0.34030095 0.3146731
## [2164,] 0.40148864 0.40512063 0.1933907
## [2165,] 0.13524769 0.13378741 0.7309649
## [2166,] 0.15308932 0.15141449 0.6954962
## [2167,] 0.41197108 0.41532430 0.1727046
## [2168,] 0.34926511 0.34968648 0.3010484
## [2169,] 0.37220008 0.37383875 0.2539612
## [2170,] 0.14468071 0.14284400 0.7124753
## [2171,] 0.35802385 0.35607258 0.2859036
## [2172,] 0.35262634 0.35282188 0.2945518
## [2173,] 0.40218016 0.40478781 0.1930320
## [2174,] 0.39663663 0.39693321 0.2064302
## [2175,] 0.36299834 0.36222700 0.2747747
## [2176,] 0.38426694 0.38663385 0.2290992
## [2177,] 0.40730252 0.41167927 0.1810182
## [2178,] 0.32073379 0.31615197 0.3631142
## [2179,] 0.35308838 0.35185686 0.2950548
## [2180,] 0.26371843 0.25927561 0.4770060
## [2181,] 0.09607800 0.09482963 0.8090924
## [2182,] 0.34131305 0.33872169 0.3199653
## [2183,] 0.28424476 0.28222055 0.4335347
## [2184,] 0.12619176 0.12463249 0.7491757
## [2185,] 0.22553431 0.22277941 0.5516863
## [2186,] 0.39036388 0.39098866 0.2186475
## [2187,] 0.39430508 0.39491234 0.2107826
## [2188,] 0.39658067 0.39970928 0.2037100
## [2189,] 0.39856769 0.40130127 0.2001310
## [2190,] 0.15104290 0.14943724 0.6995199
## [2191,] 0.40905642 0.41326004 0.1776835
## [2192,] 0.11534439 0.11382292 0.7708327
## [2193,] 0.20354731 0.20158791 0.5948648
## [2194,] 0.38356426 0.38582317 0.2306126
## [2195,] 0.39082775 0.39180352 0.2173687
## [2196,] 0.14510039 0.14317409 0.7117255
## [2197,] 0.19198093 0.18946377 0.6185553
## [2198,] 0.35559361 0.35375186 0.2906545
## [2199,] 0.33918490 0.33768463 0.3231305
## [2200,] 0.13373026 0.13177577 0.7344940
## [2201,] 0.13685349 0.13532269 0.7278238
## [2202,] 0.40076787 0.39871026 0.2005219
## [2203,] 0.33557586 0.33230283 0.3321213
## [2204,] 0.41862975 0.42174736 0.1596229
## [2205,] 0.19595676 0.19386537 0.6101779
## [2206,] 0.21461790 0.21168063 0.5737015
## [2207,] 0.39065775 0.39159345 0.2177488
## [2208,] 0.26668422 0.26439413 0.4689216
## [2209,] 0.17777102 0.17550655 0.6467224
## [2210,] 0.14923470 0.14728075 0.7034846
## [2211,] 0.34391927 0.33923922 0.3168415
## [2212,] 0.41387819 0.41818184 0.1679400
## [2213,] 0.11313815 0.11155227 0.7753096
## [2214,] 0.42906158 0.43564659 0.1352918
## [2215,] 0.23831776 0.23638955 0.5252927
## [2216,] 0.14727358 0.14553807 0.7071884
## [2217,] 0.09683239 0.09566019 0.8075074
## [2218,] 0.39361826 0.39707958 0.2093022
## [2219,] 0.11249144 0.11127775 0.7762308
## [2220,] 0.25716191 0.25351827 0.4893198
## [2221,] 0.38289281 0.37809513 0.2390121
## [2222,] 0.38238479 0.38408209 0.2335331
## [2223,] 0.18013762 0.17819273 0.6416696
## [2224,] 0.23791929 0.23517006 0.5269106
## [2225,] 0.36709434 0.36527158 0.2676341
## [2226,] 0.34307161 0.33862668 0.3183017
## [2227,] 0.33994548 0.33721883 0.3228357
## [2228,] 0.36427564 0.35805874 0.2776656
## [2229,] 0.34229066 0.34256328 0.3151461
## [2230,] 0.19038426 0.18877831 0.6208374
## [2231,] 0.25838047 0.25653511 0.4850844
## [2232,] 0.38569176 0.38401496 0.2302933
## [2233,] 0.18780740 0.18588509 0.6263075
## [2234,] 0.33972526 0.33983879 0.3204360
## [2235,] 0.12399823 0.12267734 0.7533244
## [2236,] 0.39387447 0.39470594 0.2114196
## [2237,] 0.31888164 0.31724952 0.3638688
## [2238,] 0.37361802 0.37374725 0.2526347
## [2239,] 0.43849536 0.43921503 0.1222896
## [2240,] 0.24902922 0.24611472 0.5048561
##
## Closest hard clustering:
## [1] 2 3 2 3 3 1 1 3 3 3 3 3 2 3 3 2 3 3 2 3 3 2 1 1 3 3 3 2 3 2 3 3 3 1 2 3 1
## [38] 3 3 2 2 3 3 3 3 2 3 3 3 1 1 2 3 2 1 2 2 3 3 1 2 1 1 1 2 3 3 2 1 1 2 3 2 1
## [75] 3 3 2 2 3 1 3 3 3 3 2 3 3 1 2 3 3 3 2 3 3 3 1 3 2 1 3 3 2 2 2 3 3 2 3 2 2
## [112] 2 1 2 3 3 2 1 3 3 1 3 3 3 2 2 2 3 3 1 1 3 2 2 3 2 3 3 3 3 2 1 2 1 3 1 3 3
## [149] 3 3 1 1 1 3 1 2 3 3 3 2 3 2 3 2 2 3 2 3 2 3 3 3 3 3 3 2 2 3 3 2 3 3 2 3 3
## [186] 3 3 1 2 3 3 2 3 3 3 3 1 2 2 3 1 2 2 2 3 3 3 3 3 2 3 2 3 3 2 3 3 2 3 1 3 2
## [223] 1 3 1 3 1 1 2 3 3 2 3 3 2 3 3 1 3 3 2 2 3 2 1 3 2 2 2 2 3 3 2 3 1 3 1 1 3
## [260] 3 3 1 3 3 3 3 2 3 2 3 2 3 3 3 3 1 2 2 2 1 3 1 3 1 3 3 2 1 2 3 3 3 2 3 3 1
## [297] 3 3 2 1 3 1 3 3 3 2 3 2 1 3 3 3 2 2 3 3 3 1 3 1 1 3 3 1 1 2 3 3 3 3 3 3 1
## [334] 3 3 2 2 3 2 2 2 3 1 1 3 2 3 2 3 3 1 2 2 2 1 3 3 2 1 1 2 1 3 3 3 1 2 3 2 1
## [371] 3 3 3 1 3 3 3 3 1 3 3 3 3 3 3 3 1 2 3 1 2 3 2 3 1 2 3 3 3 3 3 2 3 3 1 3 3
## [408] 3 3 1 3 2 2 3 1 2 3 2 2 1 3 3 3 2 2 3 2 2 3 2 2 1 1 2 3 3 1 3 3 3 3 3 3 3
## [445] 3 3 3 2 3 1 1 1 3 1 1 3 2 3 3 2 1 2 3 2 3 2 2 3 1 1 2 3 1 3 3 2 3 1 1 3 3
## [482] 3 3 3 2 2 1 1 3 3 2 3 2 1 1 1 3 2 2 2 3 3 3 1 3 2 2 2 3 1 3 2 1 2 3 2 3 3
## [519] 2 2 3 2 3 2 3 3 2 1 2 3 1 2 3 3 3 3 3 2 3 3 3 3 3 2 2 3 2 3 3 3 3 3 1 3 2
## [556] 3 2 2 3 2 3 2 1 2 1 3 1 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 2 1 1 3 3 2
## [593] 2 3 1 3 3 3 3 3 3 1 2 1 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 2 3 2 3 2 2 3
## [630] 3 2 2 2 3 2 3 2 1 2 2 2 2 1 1 2 3 2 3 2 1 2 3 2 3 3 3 3 3 2 3 1 3 2 3 3 3
## [667] 3 3 3 3 2 1 2 2 1 3 1 2 3 2 1 2 1 3 2 1 2 2 2 2 1 2 3 3 3 3 3 3 1 2 1 1 1
## [704] 2 3 2 3 1 1 3 3 1 3 1 3 2 2 3 2 3 1 1 3 2 3 3 2 2 3 2 3 3 1 3 2 2 2 1 3 2
## [741] 1 3 3 3 2 2 3 2 3 2 2 1 2 2 2 2 1 1 3 3 3 1 2 3 2 3 2 2 3 1 2 2 1 3 3 3 3
## [778] 2 3 2 2 3 3 3 3 3 3 1 1 3 2 2 3 3 3 3 1 1 2 3 1 3 3 2 2 3 3 1 1 2 3 3 2 1
## [815] 2 1 3 1 1 3 2 3 1 3 2 2 1 3 2 3 3 1 1 3 3 2 3 2 3 1 3 3 3 3 2 2 2 1 3 3 3
## [852] 1 2 3 1 2 3 1 3 2 3 3 3 3 3 1 3 3 1 3 2 2 3 3 2 2 3 3 2 3 3 3 3 3 2 2 3 3
## [889] 1 2 3 3 2 3 2 1 2 2 3 3 2 3 2 1 3 2 2 3 3 3 2 2 1 3 2 2 2 2 1 2 3 2 3 3 2
## [926] 3 2 2 2 2 2 3 1 3 2 3 2 2 1 1 1 1 2 2 3 1 1 3 3 1 3 3 3 3 3 3 1 1 3 3 2 1
## [963] 3 3 3 2 2 3 3 1 2 3 3 1 2 2 2 3 3 1 3 3 3 2 2 1 2 2 2 3 2 3 3 2 3 3 2 3 2
## [1000] 3 1 2 1 3 3 1 2 2 3 3 2 3 3 3 3 1 2 3 3 3 3 3 1 3 3 2 3 3 3 2 2 2 2 3 2 3
## [1037] 3 3 3 1 1 3 3 2 3 3 3 2 3 1 2 3 2 3 3 2 3 3 2 2 1 1 2 3 1 3 2 2 3 2 3 2 1
## [1074] 3 1 2 2 3 3 3 2 3 2 3 2 1 3 2 3 2 2 3 2 3 3 1 1 2 3 1 2 1 3 3 3 2 3 3 1 3
## [1111] 2 2 3 2 3 1 3 1 3 1 1 3 3 3 3 3 2 3 3 2 1 3 3 2 2 3 3 2 3 3 1 3 3 3 2 3 3
## [1148] 1 3 3 2 2 3 2 3 3 3 2 2 2 3 1 1 2 3 1 3 3 2 2 3 3 2 3 3 3 3 1 3 2 1 3 1 3
## [1185] 3 3 3 1 3 3 2 2 3 3 3 1 3 1 2 2 3 2 3 3 2 1 2 3 3 3 3 2 2 2 3 3 1 3 2 3 3
## [1222] 3 2 3 3 1 1 3 1 3 3 3 3 3 3 1 3 2 3 3 3 3 2 2 3 3 3 3 3 1 2 1 2 2 1 3 1 2
## [1259] 3 2 3 2 2 3 3 2 1 3 3 2 1 2 3 3 3 1 3 3 2 3 2 2 3 1 1 3 1 3 2 2 3 3 3 3 3
## [1296] 3 3 1 2 3 3 2 3 3 2 1 3 2 2 1 1 2 3 2 3 3 1 3 3 3 2 3 2 3 3 1 3 3 3 2 3 3
## [1333] 2 2 2 1 2 3 3 3 3 1 1 3 3 3 3 1 1 2 2 2 3 3 2 2 3 2 2 3 1 3 3 2 1 2 3 3 3
## [1370] 3 3 3 3 1 1 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 3 3 3 3 3 1 3 3 1 3 3 1 3 3 1 3
## [1407] 3 2 1 3 1 2 3 2 3 1 3 3 3 3 3 2 1 3 3 3 3 3 3 1 3 3 2 3 3 3 3 3 3 3 3 3 3
## [1444] 2 2 1 2 1 2 1 3 2 2 3 1 2 3 3 2 2 1 1 3 3 3 2 1 2 3 2 3 3 3 2 2 3 2 3 3 1
## [1481] 2 1 3 3 2 1 2 3 2 3 1 3 2 1 3 2 3 1 2 2 3 3 3 1 1 1 1 2 2 1 2 3 2 2 3 3 1
## [1518] 3 3 3 2 2 3 3 3 1 2 3 2 3 1 3 1 3 3 3 3 2 1 1 3 1 2 3 1 3 3 3 1 3 3 2 2 2
## [1555] 2 3 3 3 3 2 3 3 3 2 3 3 1 2 1 1 2 3 2 3 3 3 3 2 3 1 3 2 2 3 2 3 3 1 3 2 3
## [1592] 2 3 3 3 1 3 3 2 3 1 2 2 3 3 3 2 1 3 1 2 3 2 3 3 2 3 3 3 1 3 3 2 3 3 3 1 2
## [1629] 3 3 2 3 3 3 1 1 1 2 3 3 3 1 1 3 2 3 3 2 2 3 3 2 3 2 3 3 3 2 1 2 3 3 1 3 3
## [1666] 3 1 3 2 2 3 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 2 1 2 2 1 2 3 3 3 2 3 2 3 2 2 3
## [1703] 3 1 3 3 2 3 2 3 2 2 3 2 3 3 1 3 3 1 3 2 2 2 3 3 3 3 1 2 3 3 3 2 2 2 1 2 1
## [1740] 3 3 3 3 2 1 2 3 2 2 2 1 3 3 1 3 3 3 3 3 2 2 3 1 2 3 2 3 2 3 3 3 3 2 2 3 3
## [1777] 3 3 3 2 3 3 2 1 3 3 1 3 1 2 3 3 2 3 3 3 1 3 1 2 2 2 3 3 3 1 1 3 2 2 3 1 2
## [1814] 2 2 3 1 2 1 3 2 3 3 2 2 3 3 2 2 3 3 3 1 3 3 3 2 3 1 2 3 2 3 2 3 2 3 3 1 3
## [1851] 2 3 2 2 2 1 3 3 2 1 1 3 1 2 2 1 3 3 3 2 3 2 3 1 3 3 2 2 2 2 2 3 3 2 3 3 3
## [1888] 2 2 3 2 2 3 1 2 3 3 2 2 1 3 3 1 3 3 2 1 3 3 3 2 2 2 2 1 1 3 3 3 3 3 2 2 2
## [1925] 2 3 1 2 2 1 3 1 3 3 2 3 1 1 3 3 2 3 3 2 3 2 2 2 3 3 3 1 2 2 1 2 3 1 2 3 2
## [1962] 2 3 3 3 2 1 2 2 2 1 3 3 3 3 1 2 3 3 3 3 3 2 3 3 3 3 1 3 1 2 3 2 2 3 2 2 1
## [1999] 3 1 3 3 3 3 3 3 2 3 1 1 2 3 2 2 2 3 3 3 3 3 3 3 3 1 2 3 3 3 1 3 1 1 3 2 3
## [2036] 1 2 1 3 2 2 1 3 3 3 3 3 2 2 2 3 1 1 3 3 3 2 2 1 1 3 3 2 3 2 2 3 1 3 3 1 2
## [2073] 3 2 2 1 3 3 3 3 3 1 3 2 2 1 2 2 3 3 3 3 1 2 1 3 2 3 2 1 3 2 3 2 3 3 3 1 3
## [2110] 2 1 1 3 3 3 1 3 2 2 3 3 3 3 2 3 2 1 2 1 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 1 2
## [2147] 3 3 3 3 3 2 3 3 3 3 3 3 1 3 2 3 1 2 3 3 2 2 2 3 1 2 2 2 1 2 2 3 1 3 3 1 3
## [2184] 3 3 2 2 2 2 3 2 3 3 2 2 3 3 1 1 3 3 1 1 2 3 3 2 3 3 3 1 2 3 2 3 3 3 2 3 3
## [2221] 1 2 3 3 1 1 1 1 2 3 3 1 3 2 3 2 3 2 2 3
##
## Available components:
## [1] "centers" "size" "cluster" "membership" "iter"
## [6] "withinerror" "call"
table(fcm_result$cluster)
##
## 1 2 3
## 404 673 1163
fcm_result$centers
## Income Kidhome Teenhome Recency MntWines MntFruits
## 1 0.4080762 -0.4142531 0.03608234 -0.005362214 0.4429080 0.3421791
## 2 0.4163372 -0.4194286 0.02797972 -0.005045658 0.4511389 0.3535143
## 3 -0.5676705 0.5992291 -0.10333370 0.019552153 -0.6098092 -0.4440450
## MntMeatProducts MntFishProducts MntSweetProducts MntGoldProds
## 1 0.3887377 0.3526202 0.3395327 0.3278800
## 2 0.4016245 0.3646235 0.3506998 0.3342209
## 3 -0.5120466 -0.4576408 -0.4409188 -0.4600382
## NumDealsPurchases NumWebPurchases NumCatalogPurchases NumStorePurchases
## 1 0.01951444 0.3835771 0.4402543 0.4729304
## 2 0.01319022 0.3860770 0.4512117 0.4801776
## 3 -0.09024572 -0.5542656 -0.5984873 -0.6321861
## NumWebVisitsMonth AcceptedCmp3 AcceptedCmp4 AcceptedCmp5 AcceptedCmp1
## 1 -0.3183891 0.04408613 0.1042138 0.1408463 0.1239496
## 2 -0.3279885 0.04426933 0.1051919 0.1461670 0.1282213
## 3 0.4149405 -0.12397501 -0.1836970 -0.2080798 -0.1898359
## AcceptedCmp2 Complain Response
## 1 0.03205518 0.01357141 0.1101936
## 2 0.03270044 0.01368520 0.1130967
## 3 -0.06966600 -0.04734516 -0.2142622
df_final$fcm_cluster <- as.factor(fcm_result$cluster)
fcm_profile <- df_final %>%
group_by(fcm_cluster) %>%
summarise(across(where(is.numeric), \(x) mean(x, na.rm = TRUE)))
fcm_profile
## # A tibble: 3 × 23
## fcm_cluster Income Kidhome Teenhome Recency MntWines MntFruits MntMeatProducts
## <fct> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 58956. 0.181 0.926 48.2 496. 20.5 130.
## 2 2 75387. 0.0475 0.262 49.6 606. 66.2 429.
## 3 3 36509. 0.765 0.502 49.1 62.3 5.24 28.3
## # ℹ 15 more variables: MntFishProducts <dbl>, MntSweetProducts <dbl>,
## # MntGoldProds <dbl>, NumDealsPurchases <dbl>, NumWebPurchases <dbl>,
## # NumCatalogPurchases <dbl>, NumStorePurchases <dbl>,
## # NumWebVisitsMonth <dbl>, AcceptedCmp3 <dbl>, AcceptedCmp4 <dbl>,
## # AcceptedCmp5 <dbl>, AcceptedCmp1 <dbl>, AcceptedCmp2 <dbl>, Complain <dbl>,
## # Response <dbl>
pca_data$fcm_cluster <- as.factor(fcm_result$cluster)
ggplot(pca_data, aes(x = PC1, y = PC2, color = fcm_cluster)) +
geom_point(size = 3) +
labs(title = "Fuzzy C-Means (Hard Assignment)") +
theme_minimal()
bandwidth_values <- seq(1.0, 3.0, by = 0.5)
n_dim <- ncol(df_scaled)
sil_scores <- numeric(length(bandwidth_values))
for (i in seq_along(bandwidth_values)) {
bw_vec <- rep(bandwidth_values[i], n_dim)
set.seed(123)
ms <- meanShift(df_scaled, bandwidth = bw_vec)
cl <- ms$assignment
if (length(unique(cl)) >= 2 && sum(cl != 0) > 0) {
non_noise <- cl != 0
sil <- silhouette(cl[non_noise], dist(df_scaled[non_noise, ]))
sil_scores[i] <- mean(sil[, 3])
} else {
sil_scores[i] <- NA
}
}
df_plot <- data.frame(bandwidth = bandwidth_values, silhouette = sil_scores)
df_plot <- na.omit(df_plot)
ggplot(df_plot, aes(x = bandwidth, y = silhouette)) +
geom_line() + geom_point() +
labs(title = "Mean Shift: Silhouette vs Bandwidth", x = "Bandwidth", y = "Silhouette") +
theme_minimal()
bandwidth <- 2.75
bw_vec <- rep(bandwidth, n_dim)
ms_result <- meanShift(df_scaled, bandwidth = bw_vec)
ms_result$assignment
## [,1]
## [1,] 1
## [2,] 1
## [3,] 1
## [4,] 1
## [5,] 1
## [6,] 1
## [7,] 1
## [8,] 1
## [9,] 1
## [10,] 1
## [11,] 1
## [12,] 1
## [13,] 1
## [14,] 1
## [15,] 1
## [16,] 1
## [17,] 1
## [18,] 1
## [19,] 1
## [20,] 1
## [21,] 1
## [22,] 2
## [23,] 1
## [24,] 1
## [25,] 1
## [26,] 1
## [27,] 1
## [28,] 1
## [29,] 1
## [30,] 1
## [31,] 1
## [32,] 1
## [33,] 1
## [34,] 1
## [35,] 1
## [36,] 1
## [37,] 1
## [38,] 1
## [39,] 1
## [40,] 1
## [41,] 1
## [42,] 1
## [43,] 1
## [44,] 1
## [45,] 1
## [46,] 1
## [47,] 1
## [48,] 1
## [49,] 1
## [50,] 1
## [51,] 1
## [52,] 1
## [53,] 1
## [54,] 1
## [55,] 1
## [56,] 1
## [57,] 1
## [58,] 1
## [59,] 1
## [60,] 1
## [61,] 1
## [62,] 1
## [63,] 1
## [64,] 1
## [65,] 1
## [66,] 1
## [67,] 1
## [68,] 1
## [69,] 1
## [70,] 1
## [71,] 1
## [72,] 1
## [73,] 1
## [74,] 1
## [75,] 1
## [76,] 1
## [77,] 1
## [78,] 1
## [79,] 1
## [80,] 1
## [81,] 1
## [82,] 1
## [83,] 1
## [84,] 1
## [85,] 1
## [86,] 1
## [87,] 1
## [88,] 1
## [89,] 1
## [90,] 1
## [91,] 1
## [92,] 1
## [93,] 1
## [94,] 1
## [95,] 1
## [96,] 1
## [97,] 1
## [98,] 1
## [99,] 1
## [100,] 1
## [101,] 1
## [102,] 1
## [103,] 1
## [104,] 1
## [105,] 1
## [106,] 1
## [107,] 1
## [108,] 1
## [109,] 1
## [110,] 1
## [111,] 1
## [112,] 1
## [113,] 1
## [114,] 1
## [115,] 1
## [116,] 1
## [117,] 1
## [118,] 1
## [119,] 1
## [120,] 1
## [121,] 1
## [122,] 1
## [123,] 1
## [124,] 1
## [125,] 1
## [126,] 1
## [127,] 1
## [128,] 1
## [129,] 1
## [130,] 1
## [131,] 1
## [132,] 1
## [133,] 1
## [134,] 1
## [135,] 1
## [136,] 1
## [137,] 1
## [138,] 1
## [139,] 1
## [140,] 1
## [141,] 1
## [142,] 1
## [143,] 1
## [144,] 1
## [145,] 1
## [146,] 1
## [147,] 1
## [148,] 1
## [149,] 1
## [150,] 1
## [151,] 1
## [152,] 1
## [153,] 1
## [154,] 1
## [155,] 1
## [156,] 1
## [157,] 1
## [158,] 1
## [159,] 1
## [160,] 1
## [161,] 1
## [162,] 1
## [163,] 1
## [164,] 1
## [165,] 3
## [166,] 1
## [167,] 1
## [168,] 1
## [169,] 1
## [170,] 1
## [171,] 1
## [172,] 1
## [173,] 1
## [174,] 1
## [175,] 1
## [176,] 1
## [177,] 1
## [178,] 1
## [179,] 1
## [180,] 1
## [181,] 1
## [182,] 1
## [183,] 1
## [184,] 1
## [185,] 1
## [186,] 1
## [187,] 1
## [188,] 1
## [189,] 1
## [190,] 1
## [191,] 1
## [192,] 1
## [193,] 1
## [194,] 1
## [195,] 1
## [196,] 1
## [197,] 1
## [198,] 1
## [199,] 1
## [200,] 1
## [201,] 1
## [202,] 1
## [203,] 1
## [204,] 1
## [205,] 1
## [206,] 1
## [207,] 1
## [208,] 1
## [209,] 1
## [210,] 1
## [211,] 1
## [212,] 1
## [213,] 1
## [214,] 1
## [215,] 1
## [216,] 1
## [217,] 1
## [218,] 1
## [219,] 1
## [220,] 1
## [221,] 1
## [222,] 1
## [223,] 1
## [224,] 1
## [225,] 1
## [226,] 1
## [227,] 1
## [228,] 1
## [229,] 1
## [230,] 1
## [231,] 1
## [232,] 1
## [233,] 1
## [234,] 1
## [235,] 1
## [236,] 1
## [237,] 1
## [238,] 1
## [239,] 1
## [240,] 1
## [241,] 1
## [242,] 1
## [243,] 1
## [244,] 1
## [245,] 1
## [246,] 1
## [247,] 1
## [248,] 1
## [249,] 1
## [250,] 1
## [251,] 1
## [252,] 1
## [253,] 4
## [254,] 1
## [255,] 1
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## [2156,] 1
## [2157,] 1
## [2158,] 1
## [2159,] 1
## [2160,] 1
## [2161,] 1
## [2162,] 1
## [2163,] 1
## [2164,] 1
## [2165,] 1
## [2166,] 1
## [2167,] 1
## [2168,] 1
## [2169,] 1
## [2170,] 1
## [2171,] 1
## [2172,] 1
## [2173,] 1
## [2174,] 1
## [2175,] 1
## [2176,] 1
## [2177,] 1
## [2178,] 1
## [2179,] 1
## [2180,] 1
## [2181,] 1
## [2182,] 1
## [2183,] 1
## [2184,] 1
## [2185,] 1
## [2186,] 1
## [2187,] 1
## [2188,] 1
## [2189,] 1
## [2190,] 1
## [2191,] 1
## [2192,] 1
## [2193,] 1
## [2194,] 1
## [2195,] 1
## [2196,] 1
## [2197,] 1
## [2198,] 1
## [2199,] 1
## [2200,] 1
## [2201,] 1
## [2202,] 1
## [2203,] 1
## [2204,] 1
## [2205,] 1
## [2206,] 1
## [2207,] 1
## [2208,] 1
## [2209,] 1
## [2210,] 1
## [2211,] 1
## [2212,] 1
## [2213,] 1
## [2214,] 1
## [2215,] 1
## [2216,] 1
## [2217,] 1
## [2218,] 1
## [2219,] 1
## [2220,] 1
## [2221,] 1
## [2222,] 1
## [2223,] 1
## [2224,] 1
## [2225,] 1
## [2226,] 1
## [2227,] 1
## [2228,] 1
## [2229,] 1
## [2230,] 1
## [2231,] 1
## [2232,] 1
## [2233,] 1
## [2234,] 5
## [2235,] 1
## [2236,] 1
## [2237,] 1
## [2238,] 1
## [2239,] 1
## [2240,] 1
df_final$ms_cluster <- as.factor(ms_result$assignment)
pca_data$ms_cluster <- as.factor(ms_result$assignment)
ggplot(pca_data, aes(x = PC1, y = PC2, color = ms_cluster)) +
geom_point(size = 3) +
labs(title = paste("Mean Shift (bandwidth =", bandwidth, ")")) +
theme_minimal()
ms_profile <- df_final %>%
filter(ms_cluster != 0) %>%
group_by(ms_cluster) %>%
summarise(across(where(is.numeric), ~ mean(.x, na.rm = TRUE)))
ms_profile
## # A tibble: 5 × 23
## ms_cluster Income Kidhome Teenhome Recency MntWines MntFruits MntMeatProducts
## <fct> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 1 51773. 0.445 0.507 49.1 302. 26.3 165.
## 2 2 2447 1 0 42 1 1 1725
## 3 3 159023 0 0.5 59.5 37.5 9 1602
## 4 4 89213 0 0.286 42.6 1025. 44.4 271.
## 5 5 666666 1 0 23 9 14 18
## # ℹ 15 more variables: MntFishProducts <dbl>, MntSweetProducts <dbl>,
## # MntGoldProds <dbl>, NumDealsPurchases <dbl>, NumWebPurchases <dbl>,
## # NumCatalogPurchases <dbl>, NumStorePurchases <dbl>,
## # NumWebVisitsMonth <dbl>, AcceptedCmp3 <dbl>, AcceptedCmp4 <dbl>,
## # AcceptedCmp5 <dbl>, AcceptedCmp1 <dbl>, AcceptedCmp2 <dbl>, Complain <dbl>,
## # Response <dbl>
hitung_silhouette <- function(cluster, data){
if(length(unique(cluster)) < 2){
return(NA)
}
sil <- silhouette(cluster, dist(data))
return(mean(sil[,3]))
}
sil_kmeans <- hitung_silhouette(kmeans_result$cluster, df_scaled)
sil_fcm <- hitung_silhouette(fcm_result$cluster, df_scaled)
sil_meanshift<- hitung_silhouette(ms_result$assignment, df_scaled)
sil_kmedian <- hitung_silhouette(df_clean$cluster_kmedian, df_scaled)
sil_dbscan <- hitung_silhouette(db_model$cluster, df_scaled)
hasil_eval <- data.frame(
Metode = c("KMeans", "Fuzzy C-Means", "Mean Shift", "K-Medians", "DBSCAN"),
Silhouette = c(sil_kmeans, sil_fcm, sil_meanshift, sil_kmedian, sil_dbscan)
)
print(hasil_eval)
## Metode Silhouette
## 1 KMeans 0.20621082
## 2 Fuzzy C-Means 0.19240086
## 3 Mean Shift 0.52312402
## 4 K-Medians 0.17924498
## 5 DBSCAN -0.06286973