Penerapan dan Evaluasi Metode Clustering K-Means, Hierarchical Clustering, DBSCAN, dan Fuzzy C-Means untuk Segmentasi Perilaku Pengguna E-Commerce pada Dataset Online Shoppers Purchasing Intention
Nadia Zahra Yuvina (24031554192)
2026-04-27
Import Library
Pada tahap awal, dilakukan import beberapa library yang digunakan untuk proses analisis data, mulai dari preprocessing hingga visualisasi.
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## combineImport Dataset
Dataset yang digunakan berasal dari UCI Machine Learning Repository, yaitu Online Shoppers Purchasing Intention Dataset.
data <- read.csv("online_shoppers_intention.csv")
str(data)## 'data.frame': 12330 obs. of 18 variables:
## $ Administrative : int 0 0 0 0 0 0 0 1 0 0 ...
## $ Administrative_Duration: num 0 0 0 0 0 0 0 0 0 0 ...
## $ Informational : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Informational_Duration : num 0 0 0 0 0 0 0 0 0 0 ...
## $ ProductRelated : int 1 2 1 2 10 19 1 0 2 3 ...
## $ ProductRelated_Duration: num 0 64 0 2.67 627.5 ...
## $ BounceRates : num 0.2 0 0.2 0.05 0.02 ...
## $ ExitRates : num 0.2 0.1 0.2 0.14 0.05 ...
## $ PageValues : num 0 0 0 0 0 0 0 0 0 0 ...
## $ SpecialDay : num 0 0 0 0 0 0 0.4 0 0.8 0.4 ...
## $ Month : chr "Feb" "Feb" "Feb" "Feb" ...
## $ OperatingSystems : int 1 2 4 3 3 2 2 1 2 2 ...
## $ Browser : int 1 2 1 2 3 2 4 2 2 4 ...
## $ Region : int 1 1 9 2 1 1 3 1 2 1 ...
## $ TrafficType : int 1 2 3 4 4 3 3 5 3 2 ...
## $ VisitorType : chr "Returning_Visitor" "Returning_Visitor" "Returning_Visitor" "Returning_Visitor" ...
## $ Weekend : logi FALSE FALSE FALSE FALSE TRUE FALSE ...
## $ Revenue : logi FALSE FALSE FALSE FALSE FALSE FALSE ...head(data)## Administrative Administrative_Duration Informational Informational_Duration
## 1 0 0 0 0
## 2 0 0 0 0
## 3 0 0 0 0
## 4 0 0 0 0
## 5 0 0 0 0
## 6 0 0 0 0
## ProductRelated ProductRelated_Duration BounceRates ExitRates PageValues
## 1 1 0.000000 0.20000000 0.2000000 0
## 2 2 64.000000 0.00000000 0.1000000 0
## 3 1 0.000000 0.20000000 0.2000000 0
## 4 2 2.666667 0.05000000 0.1400000 0
## 5 10 627.500000 0.02000000 0.0500000 0
## 6 19 154.216667 0.01578947 0.0245614 0
## SpecialDay Month OperatingSystems Browser Region TrafficType
## 1 0 Feb 1 1 1 1
## 2 0 Feb 2 2 1 2
## 3 0 Feb 4 1 9 3
## 4 0 Feb 3 2 2 4
## 5 0 Feb 3 3 1 4
## 6 0 Feb 2 2 1 3
## VisitorType Weekend Revenue
## 1 Returning_Visitor FALSE FALSE
## 2 Returning_Visitor FALSE FALSE
## 3 Returning_Visitor FALSE FALSE
## 4 Returning_Visitor FALSE FALSE
## 5 Returning_Visitor TRUE FALSE
## 6 Returning_Visitor FALSE FALSEPreprocessing Data
Tahap preprocessing dilakukan untuk memastikan data siap digunakan dalam proses clustering.
Pilih Variabel Numerik Untuk Clustering
Dipilih 7 variabel numerik yang merepresentasikan aktivitas pengguna, yaitu Administrative, Administrative_Duration, ProductRelated, ProductRelated_Duration, BounceRates, ExitRates, dan PageValues. Variabel ini digunakan karena relevan untuk mengukur perilaku pengguna dan dapat digunakan dalam perhitungan jarak pada clustering. Variabel lain tidak digunakan karena bersifat kategorikal atau merupakan target (Revenue), sehingga tidak sesuai untuk proses clustering.
data_clust <- data[, c(
"Administrative",
"Administrative_Duration",
"ProductRelated",
"ProductRelated_Duration",
"BounceRates",
"ExitRates",
"PageValues"
)]
head(data_clust)## Administrative Administrative_Duration ProductRelated ProductRelated_Duration
## 1 0 0 1 0.000000
## 2 0 0 2 64.000000
## 3 0 0 1 0.000000
## 4 0 0 2 2.666667
## 5 0 0 10 627.500000
## 6 0 0 19 154.216667
## BounceRates ExitRates PageValues
## 1 0.20000000 0.2000000 0
## 2 0.00000000 0.1000000 0
## 3 0.20000000 0.2000000 0
## 4 0.05000000 0.1400000 0
## 5 0.02000000 0.0500000 0
## 6 0.01578947 0.0245614 0Cek Missing Value
Dilakukan pengecekan missing value untuk mengetahui apakah terdapat nilai yang hilang pada dataset.
colSums(is.na(data_clust))## Administrative Administrative_Duration ProductRelated
## 0 0 0
## ProductRelated_Duration BounceRates ExitRates
## 0 0 0
## PageValues
## 0total_na <- sum(is.na(data_clust))
total_na## [1] 0Berdasarkan hasil pengecekan, tidak ditemukan missing value sehingga tidak dilakukan proses penanganan lebih lanjut.
Statistika Deskriptif
Statistik deskriptif dilakukan untuk mengetahui gambaran umum data seperti nilai minimum, maksimum, rata-rata, dan distribusi masing-masing variabel.
summary(data_clust)## Administrative Administrative_Duration ProductRelated
## Min. : 0.000 Min. : 0.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.: 0.00 1st Qu.: 7.00
## Median : 1.000 Median : 7.50 Median : 18.00
## Mean : 2.315 Mean : 80.82 Mean : 31.73
## 3rd Qu.: 4.000 3rd Qu.: 93.26 3rd Qu.: 38.00
## Max. :27.000 Max. :3398.75 Max. :705.00
## ProductRelated_Duration BounceRates ExitRates PageValues
## Min. : 0.0 Min. :0.000000 Min. :0.00000 Min. : 0.000
## 1st Qu.: 184.1 1st Qu.:0.000000 1st Qu.:0.01429 1st Qu.: 0.000
## Median : 598.9 Median :0.003112 Median :0.02516 Median : 0.000
## Mean : 1194.7 Mean :0.022191 Mean :0.04307 Mean : 5.889
## 3rd Qu.: 1464.2 3rd Qu.:0.016813 3rd Qu.:0.05000 3rd Qu.: 0.000
## Max. :63973.5 Max. :0.200000 Max. :0.20000 Max. :361.764Standarisasi Data (Z-Score)
Data dilakukan standarisasi menggunakan metode Z-score. Proses ini bertujuan untuk menyamakan skala antar variabel agar tidak ada variabel yang mendominasi dalam proses clustering.
data_scaled <- scale(data_clust)
summary(data_scaled)## Administrative Administrative_Duration ProductRelated
## Min. :-0.6970 Min. :-0.45717 Min. :-0.7135
## 1st Qu.:-0.6970 1st Qu.:-0.45717 1st Qu.:-0.5561
## Median :-0.3959 Median :-0.41475 Median :-0.3087
## Mean : 0.0000 Mean : 0.00000 Mean : 0.0000
## 3rd Qu.: 0.5072 3rd Qu.: 0.07036 3rd Qu.: 0.1409
## Max. : 7.4312 Max. :18.76880 Max. :15.1380
## ProductRelated_Duration BounceRates ExitRates PageValues
## Min. :-0.6243 Min. :-0.4577 Min. :-0.8863 Min. :-0.3172
## 1st Qu.:-0.5281 1st Qu.:-0.4577 1st Qu.:-0.5924 1st Qu.:-0.3172
## Median :-0.3113 Median :-0.3935 Median :-0.3687 Median :-0.3172
## Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
## 3rd Qu.: 0.1408 3rd Qu.:-0.1109 3rd Qu.: 0.1425 3rd Qu.:-0.3172
## Max. :32.8054 Max. : 3.6670 Max. : 3.2292 Max. :19.1656Visualisasi Awal (Scatter Plot)
Visualisasi awal dilakukan menggunakan scatter plot untuk melihat hubungan antar variabel. Selain itu, digunakan juga scatter matrix untuk melihat pola distribusi data secara keseluruhan. Visualisasi ini membantu dalam memahami karakteristik data sebelum dilakukan proses clustering.
# Scatter plot 1
plot(data_scaled[, "ProductRelated"],
data_scaled[, "PageValues"],
main = "Scatter Plot: ProductRelated vs PageValues",
xlab = "ProductRelated",
ylab = "PageValues",
col = "blue", pch = 16)
# Scatter plot 2
plot(data_scaled[, "BounceRates"],
data_scaled[, "ExitRates"],
main = "Scatter Plot: BounceRates vs ExitRates",
xlab = "BounceRates",
ylab = "ExitRates",
col = "red", pch = 16)
# Scatter plot 3
plot(data_scaled[, "Administrative"],
data_scaled[, "Administrative_Duration"],
main = "Administrative vs Duration",
xlab = "Administrative",
ylab = "Administrative_Duration",
col = "green", pch = 16)
# # Scatter plot 4
plot(data_scaled[, "ProductRelated_Duration"],
data_scaled[, "ExitRates"],
main = "ProductRelated_Duration vs ExitRates",
xlab = "ProductRelated_Duration",
ylab = "ExitRates",
col = "purple", pch = 16)
Scatter Matrix
pairs(data_scaled,
main = "Scatter Plot Matrix")
Clustering
K-Means Clustering (Elbow Method)
wss <- numeric(10)
for (i in 1:10) {
wss[i] <- kmeans(data_scaled, centers = i, nstart = 25)$tot.withinss
}
plot(1:10, wss, type = "b", pch = 19,
xlab = "Jumlah Cluster (k)",
ylab = "Within Sum of Squares",
main = "Elbow Method")
Berdasarkan grafik Elbow Method, terlihat bahwa nilai Within Sum of Squares (WSS) mengalami penurunan yang cukup besar dari k = 1 hingga k = 3. Setelah itu, penurunannya mulai melandai dan tidak terlalu drastis. Titik “siku” elbow pada grafik terlihat berada di sekitar k = 3. Hal ini menunjukkan bahwa penggunaan 3 cluster sudah cukup optimal, karena penambahan jumlah cluster setelah itu tidak memberikan peningkatan yang besar terhadap kualitas cluster.
set.seed(123)
kmeans_result <- kmeans(data_scaled, centers = 3, nstart = 25)
kmeans_result$cluster## [1] 3 1 3 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1
## [37] 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 1 1 1 3 3 1 1 1 1 1 2 1 3 1 2 3 1 3 3 1
## [73] 1 1 1 1 2 1 3 3 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [109] 1 2 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 3 1 1 3 1 1 1 1 1 3 1 3 1 1 3
## [145] 1 1 1 1 1 1 1 3 3 1 1 1 3 1 3 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3 1
## [181] 1 3 3 1 1 1 1 2 2 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [217] 1 1 1 1 1 3 3 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [253] 3 3 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1
## [289] 2 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [325] 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 2 1 1 3 1 1 3
## [361] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 3 2 1 1 1 1 1 1 1 1 1 1 1
## [397] 1 1 3 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 2 1 3 1 1 3 1 1
## [433] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1
## [469] 3 1 1 1 3 1 1 1 1 2 2 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1
## [505] 1 1 1 1 1 1 2 2 3 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [541] 3 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 2
## [577] 1 3 1 1 1 1 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2
## [613] 2 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 2 1 1 1 1 1 1
## [649] 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [685] 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [721] 3 1 2 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1
## [757] 1 1 1 1 2 1 1 3 1 1 1 1 1 2 1 1 2 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [793] 1 1 1 1 2 1 1 2 1 1 1 1 3 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1
## [829] 2 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 1 1 1 2
## [865] 1 1 2 1 1 1 3 1 3 1 1 3 1 2 1 1 1 1 2 1 2 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1
## [901] 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 3 1 2 1 1 1 1 3 1 2 2 3 1 1
## [937] 1 1 1 1 1 1 3 1 2 3 1 3 2 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [973] 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1 1 1 1 3 1 1 1
## [1009] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 2 1 1 1 1 1 1 1 3 3 1 2 1 1 1 2 1 1
## [1045] 1 1 1 3 1 1 1 2 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1081] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 2 1 1 1 1 1 1 1 1 1 1
## [1117] 1 2 3 3 1 1 1 3 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 3 3 1 1 2 1 1 1 1 1
## [1153] 1 1 3 3 1 1 1 1 1 1 3 1 1 1 1 1 1 3 3 1 3 1 1 1 3 1 1 1 3 1 2 1 1 2 1 1
## [1189] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 3 1 1 1 2 1 1 1 1 1
## [1225] 1 1 1 1 1 1 1 2 1 2 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1261] 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1 2 1 2 1 3 1 1 1 3 1 3 1 1 1 3
## [1297] 1 1 1 1 1 1 2 2 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [1333] 3 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 2 3 3 1 3 1
## [1369] 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 3 3 1 1 1 3 1 3 1 1 1 3 1 1 1
## [1405] 1 1 1 1 3 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [1441] 1 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 3
## [1477] 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 2 2 1 1 2 1 2 3 1 1 3 3 1 1 1 1 1 1 2 1 1
## [1513] 2 1 1 3 1 1 3 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1549] 1 1 1 1 1 1 2 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 2 3 1 1 3 1 1 2 1 1 1 1
## [1585] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 3 1 1 3 1 1 1 1 1 1
## [1621] 1 3 1 1 1 1 1 3 1 2 1 1 1 1 1 1 1 1 3 1 1 1 1 1 2 1 2 1 1 1 1 1 1 3 1 1
## [1657] 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1 1 1
## [1693] 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [1729] 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1
## [1765] 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1
## [1801] 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1
## [1837] 1 2 1 3 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1
## [1873] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 1 2 2 1 1 1 1 1 1
## [1909] 1 1 3 1 1 1 1 3 1 1 1 2 1 1 1 2 1 3 1 1 1 1 1 3 1 3 1 2 1 1 1 1 1 1 2 3
## [1945] 1 1 1 1 1 3 3 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [1981] 1 1 1 1 1 1 1 1 2 2 1 1 1 3 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 3 1 2 2 1 1 2
## [2017] 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 2 2 1 1 1 1 1 3 1 2 2 1 1 1 2 1 1 1 1 1 2
## [2053] 3 1 1 1 3 3 1 1 1 3 1 1 2 1 1 1 3 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2089] 1 3 1 1 1 2 1 1 1 3 1 1 1 1 3 2 3 1 3 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [2125] 1 1 1 1 1 1 3 1 2 2 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 2 3 1 1 1 3 1 1 1 1
## [2161] 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 3 3 1 2 1 1 1 3 1 1 1 1 1 2 3 1 1 1 1 1 1
## [2197] 1 1 1 1 2 1 2 1 1 1 1 1 1 2 3 1 1 2 1 1 1 1 1 2 1 3 1 1 1 1 1 2 1 3 1 1
## [2233] 1 1 1 3 3 3 2 1 3 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 3 1 1 1 1
## [2269] 3 1 1 1 3 1 1 1 3 2 1 1 1 1 3 3 2 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [2305] 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 3 1 3 3 3 1 1 1 1 1 3 3 3 1 1 1 1 1 3
## [2341] 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1
## [2377] 1 3 1 1 3 1 1 1 1 1 1 1 1 2 1 2 1 3 1 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1
## [2413] 1 1 2 2 3 1 3 1 3 1 1 3 1 1 1 1 2 1 3 1 1 3 1 3 1 1 3 1 1 1 1 1 1 1 2 3
## [2449] 1 1 3 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1 3 1 1 1 1
## [2485] 2 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 3 1 1 1 1 3 1
## [2521] 3 3 1 1 1 2 1 1 3 1 1 1 1 3 1 2 3 1 2 1 3 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1
## [2557] 1 2 1 1 2 1 3 1 2 1 2 1 2 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [2593] 1 3 1 1 3 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 3 2 2 1 3 1 3 1 1 1 1 1 1
## [2629] 1 1 1 2 1 2 1 1 1 2 3 1 1 3 1 1 1 2 1 1 2 1 2 1 1 1 3 1 1 3 1 1 1 1 1 2
## [2665] 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 3 3 1 3 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1
## [2701] 1 1 3 2 3 1 1 3 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 3 1
## [2737] 1 1 1 3 1 1 1 3 1 1 2 1 3 1 1 3 1 3 1 1 3 2 1 2 1 3 1 1 1 1 1 1 3 1 1 1
## [2773] 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 3 1 1 1 1 1 1 1
## [2809] 1 1 1 1 3 1 3 3 1 1 1 1 3 2 1 1 2 2 1 1 1 1 3 1 3 1 1 1 1 1 1 2 1 1 1 3
## [2845] 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [2881] 3 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 3 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1
## [2917] 1 3 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 1 1 3 1 1 1
## [2953] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 1 3 1 1 3 1 3 1 1 1 1 1 1
## [2989] 1 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1
## [3025] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1
## [3061] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 2 1 2 1
## [3097] 1 1 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
## [3133] 1 1 1 1 1 3 3 1 1 3 3 2 1 1 1 1 2 1 1 1 1 1 1 1 2 3 1 1 1 1 2 1 2 1 1 3
## [3169] 1 2 3 1 1 3 1 1 1 1 1 2 1 3 1 1 1 2 1 3 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1
## [3205] 1 1 2 1 1 1 1 1 3 2 1 2 1 1 1 1 1 1 1 3 1 3 1 2 2 1 1 3 1 1 1 1 1 1 1 1
## [3241] 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 2 1 2 3 1 2 3 1 1 1
## [3277] 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [3313] 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2 1 3 3 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
## [3349] 2 1 1 3 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 3 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3385] 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 3 1 1 1 1
## [3421] 1 1 2 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [3457] 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 2
## [3493] 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 3 1 2 1 2 1
## [3529] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 2 1 1
## [3565] 1 1 3 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 3 1 1
## [3601] 1 1 2 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 3 1 1 1 1
## [3637] 1 3 1 1 1 1 2 1 1 3 1 1 1 3 3 1 1 1 2 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 3 3
## [3673] 3 1 1 1 1 3 1 1 2 1 1 3 1 1 1 3 1 2 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3709] 1 1 1 1 2 2 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [3745] 1 1 3 1 1 1 1 1 2 1 1 3 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1
## [3781] 1 1 1 3 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2 2 1 1 1
## [3817] 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
## [3853] 2 1 3 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 2 1 2 1 1 1 2 1 1 1 2 1 1 1
## [3889] 1 2 1 3 1 1 1 1 2 2 1 1 1 3 1 1 1 1 1 1 1 3 1 1 2 3 1 1 1 1 1 1 1 1 1 1
## [3925] 1 3 1 1 1 1 1 1 3 1 1 2 2 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 3 1 1 1
## [3961] 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 1
## [3997] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 2 1 1 2 1
## [4033] 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 2 1 1 2 1 1 2 1 1 2 1 1
## [4069] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1
## [4105] 1 2 1 1 2 2 1 1 2 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1 3 1 2 1 1 1 2 1 3 1 1 1
## [4141] 1 1 3 1 1 1 2 1 1 1 2 1 3 1 1 1 1 2 1 1 1 1 2 3 1 1 1 3 1 1 3 1 2 2 1 1
## [4177] 3 1 3 1 1 2 3 1 1 1 3 1 3 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1
## [4213] 1 1 1 1 1 1 1 1 2 1 1 1 3 1 2 1 1 1 2 3 1 1 2 1 1 1 1 1 3 1 1 1 1 2 1 1
## [4249] 1 1 1 1 1 2 1 3 1 2 1 1 2 1 1 2 1 1 1 1 2 1 3 1 2 2 1 2 1 1 2 1 1 1 1 1
## [4285] 1 2 1 1 1 1 1 3 1 1 3 1 1 1 3 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [4321] 1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 2 2 1 1
## [4357] 3 1 2 2 1 1 1 1 1 3 1 1 1 3 1 1 2 1 3 1 3 3 2 1 1 1 1 1 2 1 1 1 1 1 1 1
## [4393] 1 1 1 1 1 2 2 3 1 2 1 3 1 3 1 1 2 3 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 3 1
## [4429] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 3
## [4465] 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 2 1 1 2 3 1 1
## [4501] 1 1 1 1 1 2 1 3 1 2 1 1 3 1 1 2 2 1 1 1 1 2 1 1 3 3 1 1 1 1 1 1 1 1 1 1
## [4537] 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [4573] 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3
## [4609] 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 3 2 3 1 3 1 2 1
## [4645] 1 2 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 3 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
## [4681] 2 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4717] 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 2
## [4753] 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1
## [4789] 2 1 1 1 1 2 1 1 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 3 1 1 1 1 2 3 1 1 2 2 1 1
## [4825] 1 1 1 1 2 1 1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 1 1 1
## [4861] 1 3 3 1 3 1 1 1 1 2 2 2 1 1 2 1 1 1 1 1 1 1 1 3 2 1 1 3 1 2 1 1 1 1 1 1
## [4897] 3 2 1 1 1 1 1 2 2 1 1 1 1 3 1 1 1 3 1 3 1 1 1 3 1 1 1 1 3 1 3 1 1 3 1 1
## [4933] 1 2 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4969] 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 2 1 1 1 1 1
## [5005] 2 1 1 3 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 2 2 1 2 2 1 1 1 1 1 1 3 2
## [5041] 1 1 1 3 1 2 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1
## [5077] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 3 3 1 1 1 1 1 2 1 1 1 1 3 1 3 1 2
## [5113] 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 3 1 1 3 3 1 1 1 1 1 1 2 2 3
## [5149] 1 1 2 1 2 2 1 3 3 1 1 1 1 2 1 3 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 2 1
## [5185] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1
## [5221] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1
## [5257] 3 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3 1 1 1 2 3 1 1 3 1 1 3 1 1 1 3 1 1 1 3 3
## [5293] 3 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1
## [5329] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1
## [5365] 1 1 1 1 2 1 1 2 3 1 2 1 1 3 3 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5401] 1 2 1 1 1 3 1 3 1 1 2 1 1 2 1 3 1 1 1 2 1 1 1 1 1 2 1 1 1 3 3 1 3 1 2 1
## [5437] 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 3 1 2 1 1 1
## [5473] 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 2 1 1 2 3 1 1 3 1 1 1
## [5509] 1 2 1 1 1 2 1 1 1 2 1 2 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1
## [5545] 1 1 2 1 1 1 2 1 1 1 2 2 1 3 1 1 1 2 1 1 1 1 1 1 3 2 1 2 1 1 1 2 1 1 1 1
## [5581] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 2 2 1 1 2 3 1 1 2 1 1 1 2 1 1 1 1 1 1 1
## [5617] 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [5653] 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1
## [5689] 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [5725] 1 3 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 2 1
## [5761] 1 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5797] 1 1 1 1 3 1 1 1 1 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 1 1 1 1 1 1 3 2 1 2 1 1
## [5833] 1 1 1 1 2 1 1 1 1 1 1 1 1 2 3 1 1 3 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 1
## [5869] 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 3 1 3 1 1 1 1 2 1 2 1 2 3 1 1 1 2 1 2 1
## [5905] 3 1 1 3 1 2 1 1 1 1 1 1 2 2 1 1 1 1 2 1 3 1 2 1 1 1 1 1 1 3 1 1 1 2 1 2
## [5941] 1 1 2 1 1 1 1 1 2 3 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [5977] 1 3 2 3 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 2 1 1 1 1 1 1 2 2 2 1 1 1 2
## [6013] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
## [6049] 1 3 1 2 1 2 1 1 1 1 1 2 1 1 1 1 3 1 2 2 1 1 3 1 2 1 2 3 1 1 1 1 1 1 1 1
## [6085] 1 1 2 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6121] 1 1 1 1 1 1 1 2 1 1 3 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 3 1
## [6157] 1 1 1 1 1 2 1 1 1 2 1 2 1 1 2 3 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 3 2 2
## [6193] 1 1 2 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6229] 1 2 1 1 3 3 1 1 1 1 2 1 2 2 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 3 2 1 1
## [6265] 1 1 1 1 3 1 1 2 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 3 1 1 1 1 2 1 1 1
## [6301] 1 2 1 2 2 1 2 1 1 1 1 2 1 1 1 3 1 1 1 1 1 3 2 1 2 1 1 1 2 1 1 1 1 1 1 2
## [6337] 1 2 1 1 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 2
## [6373] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [6409] 1 1 1 2 1 2 1 1 1 3 1 1 1 2 2 1 1 2 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
## [6445] 2 1 1 1 1 1 2 1 2 1 2 1 1 2 1 1 3 1 2 1 1 3 1 2 1 1 1 1 1 2 2 3 2 2 1 1
## [6481] 1 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 2 1 2 1 1
## [6517] 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 2 1 1 1 2 2 1
## [6553] 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 1 1 2 1 1 1 1 1 3 1 1 1 1 1 1 2 2 1 1
## [6589] 1 1 1 1 2 1 1 1 2 1 1 1 1 2 2 2 1 1 1 2 1 1 1 3 1 2 1 1 1 1 1 2 1 1 1 1
## [6625] 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 2 1 1 3 2 2 1 2 1 1 1 1 1 1 2 3 1 1 1 1
## [6661] 1 2 1 1 1 1 2 1 1 3 1 2 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2 3 2 1 1 1 1
## [6697] 1 1 1 1 3 1 3 1 1 1 1 1 2 1 1 1 1 2 1 1 3 1 3 2 1 1 1 1 1 1 1 2 1 1 1 1
## [6733] 1 2 1 1 1 1 1 1 1 2 1 3 1 1 1 1 2 1 1 1 2 1 1 3 1 2 3 1 1 1 2 1 1 2 1 1
## [6769] 1 1 2 2 1 1 1 1 1 1 1 2 1 2 1 1 3 1 1 2 1 1 1 2 1 2 1 3 1 2 1 1 1 3 2 1
## [6805] 1 1 1 1 1 2 3 1 1 3 1 1 1 1 1 2 2 1 1 1 2 1 1 3 1 1 3 2 1 2 1 1 1 1 2 1
## [6841] 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1 1 1 1 1
## [6877] 2 1 1 1 1 1 2 2 1 2 1 1 1 1 1 2 2 2 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1
## [6913] 1 1 1 1 1 1 2 1 1 2 1 3 1 1 1 1 1 3 2 1 1 1 2 1 2 1 1 2 1 2 2 1 1 1 1 1
## [6949] 2 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1
## [6985] 1 1 1 1 1 1 1 1 2 1 3 1 1 2 2 1 1 1 1 1 1 3 1 2 1 1 1 2 1 1 1 1 1 1 1 1
## [7021] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 1 2 1 1 1 1 1 1 1 2 1 1
## [7057] 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 2
## [7093] 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [7129] 2 2 1 1 1 1 2 1 1 1 1 1 2 3 1 1 1 2 1 2 1 1 1 3 1 1 1 1 1 1 1 1 2 3 1 1
## [7165] 2 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 2 1 1 3 2 1 1 1 1 1 1 1 2 1 1 2 1 1
## [7201] 1 1 1 1 1 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2
## [7237] 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 3 1 1 1 1 1
## [7273] 2 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 3 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2
## [7309] 1 2 1 1 1 1 2 2 1 1 3 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1
## [7345] 3 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 3 1 2 2 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1
## [7381] 1 1 2 1 2 3 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 2 3 1 1 1 1 2 1
## [7417] 1 2 1 2 1 1 1 1 2 1 1 1 1 3 1 1 2 1 1 3 1 1 1 1 1 1 1 2 3 1 1 1 1 2 1 1
## [7453] 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 3 1 1 2 1 2 1
## [7489] 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [7525] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 3 1 2 1 1 1
## [7561] 1 1 1 2 1 1 1 3 1 1 1 1 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1
## [7597] 1 1 1 1 3 3 3 1 1 1 2 2 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1
## [7633] 1 1 1 3 1 1 1 1 1 1 3 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 3
## [7669] 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7705] 3 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 1 1 1 1 2 1 1 2 1 3 1 1 2 1 1 2
## [7741] 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 3 2 2 1 1 1 1 2 1 2 3 1 1 1 1
## [7777] 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1 1 2 2 1 1 1
## [7813] 1 1 1 1 3 1 1 2 1 1 1 3 2 1 3 3 2 1 2 1 1 1 1 1 1 3 1 1 2 1 1 2 1 1 1 3
## [7849] 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 3 2 3 1 1 1 1 1 2 1 1 2 1 1 1 1 3 1 1 1 1
## [7885] 1 3 3 1 1 3 1 1 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## [7921] 1 3 1 1 1 2 1 2 3 1 2 1 1 1 1 1 1 1 2 1 1 1 2 3 2 1 1 1 1 1 1 1 1 2 1 1
## [7957] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2
## [7993] 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 2 1 1 1 3 1 1 1 1 2 1
## [8029] 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1
## [8065] 3 1 2 3 1 3 1 2 1 1 3 1 2 1 1 3 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1
## [8101] 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 2 2 1 2 2 1 2 1 1 2 1 1 1 1 1 2 1 3 1 1
## [8137] 1 2 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1
## [8173] 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 2 1 1 1 1 3 1 2 1 1 1 1 1 2 1 1 1 1
## [8209] 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 3 2 1 3 2 1 2 1 1 1 2 1 1 1 2 1 1 1 3 1
## [8245] 1 1 1 3 2 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 2 2 2
## [8281] 1 2 2 1 2 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 2 1 1 1 1 1 1 3
## [8317] 3 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 2 1 1 1 1 1 1 2 1 2 1 1 2 1 1
## [8353] 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 3 2 1 1 2 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 1
## [8389] 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 2 2 2 1 1 1 1 2
## [8425] 1 1 1 1 1 1 3 1 1 1 3 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1
## [8461] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 3 2 2 2 1 1 1 3 1 1 1 1
## [8497] 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 2 1 2 1 2 1 1 1 2 1 1 1 3
## [8533] 1 1 1 2 3 1 1 1 1 3 1 1 3 1 1 1 2 3 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1
## [8569] 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 2 2 2 1 2 1 1 1 1 2 2 1 1 1 1 1 2 1 2 1
## [8605] 1 1 1 1 2 2 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 2 1 2 1 1 1 3 1 1 1
## [8641] 1 3 1 3 1 1 1 1 1 1 3 3 1 1 3 2 3 1 2 1 2 3 1 1 2 1 1 1 3 1 1 1 1 2 1 1
## [8677] 1 2 2 1 1 2 1 2 3 2 1 2 1 1 1 2 1 3 2 1 1 1 1 1 3 2 1 1 1 1 1 2 1 1 1 1
## [8713] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 1 2 1 1 1 1 3 2 3 1 1 1
## [8749] 1 1 1 1 3 3 1 1 2 1 1 3 1 2 1 1 2 1 3 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1
## [8785] 2 2 1 2 1 1 3 1 2 1 2 1 3 1 2 2 1 3 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
## [8821] 1 1 1 1 1 2 2 1 3 1 2 2 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 2
## [8857] 1 1 1 1 1 1 1 1 1 3 1 1 3 1 2 1 2 3 2 1 1 2 2 2 1 3 3 2 1 2 1 1 1 1 1 1
## [8893] 1 1 1 1 1 1 1 1 1 2 1 3 1 1 2 2 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 2 1 2
## [8929] 1 2 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 2 1 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1
## [8965] 1 2 1 3 1 2 3 3 2 1 1 2 2 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 2 1 1 2
## [9001] 3 1 3 2 1 2 1 3 1 1 1 2 1 1 1 2 1 2 2 2 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 2
## [9037] 1 1 1 1 1 2 1 2 1 1 3 1 1 3 2 1 2 1 1 3 1 1 2 2 3 1 1 1 1 1 1 1 1 2 2 1
## [9073] 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1
## [9109] 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 2 1 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9145] 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 2 1 1 2 2 1 1 3 2 1 1 1 1 1 1 1 1 2 1 1
## [9181] 3 2 2 1 1 1 1 3 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1
## [9217] 1 1 2 1 1 1 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 3 2 2 2 1
## [9253] 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1
## [9289] 1 1 1 2 1 1 1 3 1 1 2 1 1 1 1 1 1 1 3 2 1 1 1 2 1 1 1 1 1 1 1 1 3 1 1 1
## [9325] 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 3 1 1 3 1 1 1 1 1 1 1 2 1 2 1 1 1 1
## [9361] 1 1 1 1 1 3 1 1 2 1 1 2 2 1 1 1 1 1 2 1 1 1 2 1 3 1 2 1 1 1 1 1 1 1 2 1
## [9397] 1 1 2 2 2 1 2 1 3 1 3 1 1 1 1 1 2 1 1 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
## [9433] 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 3 2 2 2
## [9469] 1 1 1 1 1 3 1 2 2 1 1 1 1 2 3 2 2 1 2 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 2
## [9505] 3 1 1 2 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
## [9541] 1 1 1 2 1 2 3 3 2 1 1 3 3 1 1 1 1 3 2 2 1 3 2 2 2 1 1 1 3 3 1 2 2 1 1 1
## [9577] 2 3 1 3 1 3 2 1 2 2 1 1 1 1 1 1 1 2 2 2 1 1 2 1 3 2 1 2 1 1 1 2 1 1 1 1
## [9613] 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1
## [9649] 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 3 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1 1 2
## [9685] 1 1 1 3 2 2 2 1 1 1 3 2 1 1 1 1 1 1 1 1 2 2 1 2 1 2 1 3 1 2 2 3 1 1 3 2
## [9721] 2 1 1 1 1 1 1 2 1 1 1 2 1 2 1 1 2 2 1 2 1 1 2 1 1 1 2 1 2 1 1 1 1 1 1 2
## [9757] 1 1 1 2 1 1 1 1 2 1 1 1 1 3 1 2 1 1 1 1 3 1 1 1 2 3 1 1 1 1 1 1 1 1 2 1
## [9793] 1 2 1 1 1 1 1 1 1 1 2 2 1 3 2 1 1 1 2 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1
## [9829] 3 1 3 1 1 1 3 1 1 2 1 1 1 3 1 1 1 2 1 1 1 2 1 2 1 1 1 2 1 1 1 2 2 3 1 1
## [9865] 3 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1
## [9901] 1 2 1 1 2 1 1 3 1 1 1 1 1 2 2 2 1 1 2 2 2 1 2 1 1 1 1 1 3 1 2 1 1 2 1 1
## [9937] 3 3 1 2 1 1 1 3 3 1 1 1 3 3 1 2 1 1 1 1 2 1 2 2 1 1 1 2 1 1 1 1 1 2 3 2
## [9973] 1 1 1 2 2 1 1 1 3 2 2 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 2 1 2 1 1 1 1 1 3 1
## [10009] 1 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 3 1 1 1 1 2 1
## [10045] 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 3 3 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1
## [10081] 1 1 2 1 1 1 3 2 1 2 1 1 1 3 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 3
## [10117] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 1 1 1 3 1 1 1 1 1
## [10153] 1 1 1 1 1 1 2 2 1 1 1 2 1 3 3 1 2 1 2 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1
## [10189] 1 1 1 1 3 1 1 2 1 2 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 3 1
## [10225] 1 2 1 1 2 1 1 3 1 1 1 1 1 1 2 3 1 1 1 1 2 2 1 1 1 1 3 2 1 1 1 1 1 1 1 1
## [10261] 1 3 1 2 1 1 1 1 1 3 1 1 1 1 2 3 1 1 1 1 2 1 3 3 2 1 1 1 2 1 1 1 1 1 2 1
## [10297] 2 1 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1 1
## [10333] 1 2 1 1 1 3 1 2 1 3 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1 2 1 2 2 1 2 1 2
## [10369] 1 1 1 1 2 1 1 3 1 1 1 1 1 2 1 2 2 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1
## [10405] 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10441] 2 1 1 1 1 1 1 1 1 2 1 2 1 1 2 2 1 1 1 2 1 1 1 2 1 1 1 3 1 1 1 1 2 3 1 1
## [10477] 3 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 3 1 1 1 1 3 1 3 2 2 1
## [10513] 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1 3 1 1 1 2 1 2 1 2 1 1 1 1 1
## [10549] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 2 3 1 1 1 2 3 1 1 3 1 1 1
## [10585] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 2 1 1 1 2 1 1 1
## [10621] 2 2 1 2 1 1 1 1 2 1 1 3 1 3 1 2 1 1 2 1 2 2 1 1 2 1 1 1 2 1 1 1 1 3 1 1
## [10657] 1 2 1 1 1 1 1 2 1 2 1 1 2 1 1 1 2 1 2 3 1 1 2 1 1 3 2 2 1 1 1 1 1 2 1 3
## [10693] 2 3 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 2 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1
## [10729] 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 2 1 1 1 1 1 1 1 1 1 2 3
## [10765] 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 3 1 3 1 3 1 1 1 3 1 1 3 1 3 3 1 1 1 1
## [10801] 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 1 2 1 2
## [10837] 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 2 1 1
## [10873] 1 1 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 3 1 1 1 1
## [10909] 2 1 1 1 2 1 1 1 2 3 1 2 1 1 1 3 2 1 1 2 1 1 2 1 1 1 1 1 1 2 1 1 3 2 1 1
## [10945] 1 1 1 1 1 1 1 3 1 3 2 1 2 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1
## [10981] 1 3 1 1 1 1 1 2 3 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [11017] 1 1 1 1 3 1 3 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1
## [11053] 1 1 1 2 2 1 2 1 1 1 1 3 1 2 1 1 2 2 1 2 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 2
## [11089] 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 2 2 1 1 1 2 1 3 1 1 2 1 1 2 1 2 1 1 3 2 1
## [11125] 2 1 1 2 1 1 2 1 1 1 1 1 3 2 1 3 3 1 3 1 1 1 1 3 1 1 1 1 2 1 3 1 1 1 1 1
## [11161] 1 1 1 1 2 1 3 3 2 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1
## [11197] 1 1 1 2 2 2 1 1 2 3 1 2 1 1 1 1 1 1 2 1 1 1 2 2 1 1 3 1 1 1 1 2 1 1 3 1
## [11233] 2 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 2 2 1 2 1 2 2 2 1 2 1 1 1 1 1 1 3 1 1
## [11269] 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1 1 2 3 1 1 1 1 2 1 1
## [11305] 1 1 1 1 2 1 1 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 2 1 1 1 1
## [11341] 1 1 2 1 2 1 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 2 1 1 1 2 1 1 1 2
## [11377] 1 1 3 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 2 1 3 1 1 1 2 1 3 1 3 1 2 2 2 1 1 1
## [11413] 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 2 2
## [11449] 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
## [11485] 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 3 2 2 2 1 1 1 1 1 2
## [11521] 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1 1 3 2 2 1 1 2 1 1 2 2 1 1 1 1 2 2
## [11557] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 3 2 3 3 1 1 1 1 1 1 1 1 1 2
## [11593] 1 1 2 1 2 2 2 1 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1
## [11629] 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1
## [11665] 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 3 3 1
## [11701] 1 2 1 1 1 1 3 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 3 1 2
## [11737] 2 1 2 1 1 1 1 2 1 1 1 3 1 3 2 1 1 2 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1 1
## [11773] 1 2 1 3 2 1 1 2 1 1 1 1 1 1 1 2 1 1 3 1 1 1 2 2 1 2 1 2 1 3 1 1 2 1 2 1
## [11809] 1 1 1 1 1 3 1 1 1 1 1 1 1 3 2 1 1 1 1 3 2 2 2 1 1 2 1 1 3 1 1 2 1 1 1 1
## [11845] 1 2 1 1 1 1 2 2 2 2 2 2 1 2 2 1 1 1 1 1 3 3 2 1 1 2 1 2 1 1 1 1 1 1 1 1
## [11881] 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1
## [11917] 2 2 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 3 3 1 1 1 1 1 1 1 1 1 1 3 1
## [11953] 1 1 1 1 1 1 1 1 1 2 1 3 2 2 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 1
## [11989] 2 3 1 2 1 3 2 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 2 1 2 1 1 1 2
## [12025] 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1
## [12061] 1 3 1 3 1 2 1 2 1 2 1 1 1 1 1 1 3 1 2 1 1 3 1 1 1 1 1 1 1 2 3 1 1 2 1 2
## [12097] 2 1 2 1 1 1 2 2 1 1 2 1 1 1 1 2 1 1 1 1 3 1 1 1 2 1 2 1 1 1 1 1 1 2 2 2
## [12133] 1 1 1 1 1 1 1 2 1 2 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 3 1 2 3 1 1 1 1 1
## [12169] 1 2 1 2 2 1 3 3 2 1 2 2 3 1 2 1 2 3 1 1 2 1 2 2 1 1 2 2 1 3 1 1 3 1 1 1
## [12205] 2 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 2 1 1
## [12241] 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 2 1 1 1 1 2 2 1 1 1 2 1 1 1 1 2 1 2 1 1 1
## [12277] 1 1 2 1 1 1 2 1 1 2 1 2 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2
## [12313] 2 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1fviz_cluster(kmeans_result, data = data_scaled)
Hierarchical Clustering (Dendrogram)
dist_matrix <- dist(data_scaled)hc <- hclust(dist_matrix, method = "ward.D2")plot(hc, labels = FALSE, main = "Dendrogram")
rect.hclust(hc, k = 3, border = "red")
Pada dendrogram yang dihasilkan, terlihat bagaimana data digabungkan secara bertahap berdasarkan tingkat kemiripan. Semakin tinggi posisi penggabungan, semakin besar perbedaan antar kelompok data tersebut. Dengan melihat pemotongan dendrogram yang ditandai dengan kotak merah, data dapat dibagi menjadi 3 cluster utama. Hal ini konsisten dengan hasil dari metode K-Means sebelumnya. Struktur dendrogram juga menunjukkan bahwa terdapat beberapa kelompok data yang cukup berbeda satu sama lain, yang mengindikasikan adanya pembagian yang cukup jelas dalam data.
hc_cluster <- cutree(hc, k = 3)
hc_cluster## [1] 1 2 1 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 2 3 2 2 3 2 2 2 2 2 2
## [37] 2 2 2 2 3 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 3 2 2 2 2 3 2 1 3 3 1 2 1 1 2
## [73] 2 2 2 2 3 2 1 1 2 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 3 3 2 2 3 2 2 2
## [109] 2 3 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 3 2 2 2 1 2 3 2 2 2 2 3 1 2 2 1
## [145] 2 2 2 2 2 2 2 1 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 3 3 2 2 1 2
## [181] 2 1 1 2 2 2 2 3 3 3 1 3 2 2 2 3 2 3 3 3 3 2 3 2 2 3 3 2 3 2 2 2 2 3 2 2
## [217] 2 2 2 2 3 2 2 2 3 2 3 2 2 2 2 3 2 2 2 2 3 3 2 2 3 2 2 2 2 2 2 2 3 3 3 3
## [253] 1 2 2 3 2 3 2 2 3 1 2 2 2 3 2 2 2 2 2 1 2 3 2 2 3 2 2 2 2 3 3 2 3 2 1 3
## [289] 3 2 2 2 2 1 3 3 2 3 1 2 3 2 1 2 2 2 2 2 2 3 3 2 2 2 3 3 2 3 2 2 2 2 2 2
## [325] 3 3 2 2 2 2 1 2 2 3 3 2 2 2 2 2 2 1 2 2 1 3 2 3 2 2 2 2 3 3 3 2 1 2 3 1
## [361] 2 2 2 3 2 3 2 3 3 2 3 2 2 3 2 2 3 3 2 3 2 2 2 1 3 2 2 2 2 2 3 2 2 3 2 3
## [397] 3 3 1 3 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 2 2 2 1 2 2 1 2 2 3 2 1 2 2 1 2 2
## [433] 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 2 2 2 2 2 2 2 1 3 1 2 3 2 2 2 2 3 3 3
## [469] 1 2 3 2 2 2 2 2 3 3 3 1 3 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 2 2 3 3
## [505] 2 3 2 2 2 2 3 3 1 3 2 1 2 3 2 3 2 3 2 2 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 2
## [541] 1 2 2 2 3 2 2 3 3 2 2 2 3 2 1 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3
## [577] 2 1 2 3 2 2 2 2 3 1 3 2 2 1 2 1 2 3 2 3 2 2 2 2 3 3 2 3 2 2 3 2 2 3 3 3
## [613] 3 3 3 2 3 2 3 3 3 3 2 2 2 2 2 2 2 3 3 2 3 2 2 3 2 3 1 2 2 3 3 2 3 2 2 3
## [649] 2 3 2 2 3 2 3 3 2 2 1 1 2 2 3 2 2 3 2 2 2 2 1 2 2 2 3 2 2 2 2 2 2 3 2 2
## [685] 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 2 2 3 3 2 3 2 3 3 3 2 2 2 2 2 2 2 3 3 2 2
## [721] 1 2 3 2 1 2 2 1 2 2 2 2 2 2 3 3 2 2 2 3 3 2 2 1 2 2 3 2 2 2 2 3 3 3 2 3
## [757] 2 2 3 2 3 2 2 1 2 2 2 2 2 3 2 2 3 3 1 2 2 3 2 3 2 2 3 3 2 2 2 2 3 2 2 2
## [793] 3 3 2 2 3 2 2 3 2 2 3 2 1 1 3 2 2 3 3 2 2 2 2 3 3 2 2 2 2 2 1 2 2 3 3 2
## [829] 3 2 3 1 2 3 3 3 2 3 3 2 2 2 3 2 3 2 3 2 3 3 2 3 2 3 3 3 2 3 2 2 2 2 2 3
## [865] 2 2 3 2 2 3 1 3 1 3 3 2 2 3 2 2 2 2 3 2 3 3 2 3 2 1 2 2 2 2 3 2 3 1 2 2
## [901] 2 3 2 3 2 3 3 2 2 3 3 2 3 2 2 2 3 2 3 3 2 3 1 2 3 3 2 2 2 1 2 3 3 1 3 2
## [937] 2 2 2 3 3 3 1 2 3 1 3 1 3 3 2 2 3 2 3 3 1 2 2 2 2 2 3 2 2 3 3 2 3 2 3 3
## [973] 3 2 1 3 2 2 2 3 2 2 2 3 2 2 3 2 2 2 2 3 2 1 2 2 3 2 2 2 2 3 2 3 1 2 2 2
## [1009] 2 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 3 3 2 2 2 3 2 3 2 1 2 3 3 2 2 2 3 3 3
## [1045] 2 2 2 1 2 3 3 3 2 2 3 2 2 2 3 1 2 2 2 3 3 2 2 3 2 3 2 2 2 3 2 2 3 2 2 2
## [1081] 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 2 3 3 2 2 2 2 3 2 3 2 3
## [1117] 2 3 1 1 2 2 2 1 2 2 2 3 2 2 2 3 2 1 2 2 2 2 2 3 2 3 1 1 2 3 3 3 2 3 2 2
## [1153] 3 2 1 2 2 3 2 2 2 2 2 2 2 2 2 2 2 1 1 3 1 2 2 2 1 2 2 2 1 2 3 3 3 3 2 2
## [1189] 3 2 3 2 2 2 2 3 3 2 2 2 3 2 3 2 2 2 2 3 3 2 3 3 2 1 1 2 2 2 3 3 2 3 2 2
## [1225] 2 2 2 2 2 2 2 3 2 3 2 2 1 2 2 2 2 3 2 2 2 3 2 3 2 2 2 3 2 2 3 2 2 2 3 3
## [1261] 2 2 3 2 3 1 2 3 2 2 2 2 3 3 2 2 3 3 2 2 2 3 2 3 2 1 2 2 2 1 2 1 2 2 2 2
## [1297] 2 2 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 2 3 2 3 3 2 3 3 1 2 2 3 3 2 2
## [1333] 1 3 2 2 3 2 2 3 2 2 2 2 2 2 3 2 2 2 2 3 2 3 2 2 1 3 2 3 2 3 3 1 2 3 1 2
## [1369] 3 3 2 2 2 2 2 2 2 3 2 3 2 1 2 2 2 2 2 2 3 1 1 2 2 3 1 2 1 3 2 2 2 2 2 2
## [1405] 2 3 2 2 2 2 3 2 1 3 2 2 3 3 2 2 3 2 2 3 2 3 2 3 2 2 2 3 3 2 2 2 1 2 2 2
## [1441] 2 2 3 2 2 2 2 2 3 3 2 2 1 1 2 2 2 2 2 2 2 3 2 3 3 2 2 2 3 2 3 3 3 1 2 1
## [1477] 2 2 2 3 2 2 2 2 3 2 2 3 2 2 3 3 3 2 2 3 3 3 1 3 3 1 2 2 2 2 2 2 3 3 2 3
## [1513] 3 2 2 1 3 3 1 3 2 2 2 2 3 2 3 2 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2
## [1549] 3 2 3 2 3 2 3 2 3 2 2 2 1 2 2 2 2 2 3 2 2 2 2 3 3 1 2 2 1 2 2 3 2 2 3 2
## [1585] 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2 3 2 2 1 2 1 3 2 2 2 2 2 3 2 3
## [1621] 3 1 3 3 2 2 3 2 3 3 2 2 2 2 2 3 2 3 2 2 2 2 2 3 3 2 3 2 2 2 3 2 2 2 3 2
## [1657] 2 2 2 2 2 2 2 2 3 2 3 2 2 3 2 2 3 2 2 2 2 3 3 2 2 3 2 2 3 2 2 2 2 2 3 2
## [1693] 2 2 2 2 3 1 3 3 2 2 2 2 3 2 2 3 2 3 3 2 2 2 2 2 2 2 2 3 2 2 3 2 2 2 3 2
## [1729] 2 1 2 3 3 2 2 2 2 2 2 3 2 2 2 3 3 2 2 3 2 2 2 3 2 3 2 3 2 2 2 2 2 3 3 2
## [1765] 2 2 2 2 2 2 3 2 2 3 3 1 2 3 2 2 2 2 3 3 2 2 2 2 2 3 2 2 2 3 2 1 3 2 3 2
## [1801] 2 2 3 2 1 2 2 2 2 3 2 2 3 2 2 2 3 2 2 2 2 2 3 3 3 3 3 2 2 3 2 2 2 3 2 3
## [1837] 2 3 2 1 2 2 3 2 2 3 3 2 2 3 2 3 2 2 2 3 3 2 2 2 3 2 2 2 3 3 1 2 2 2 3 2
## [1873] 2 3 2 2 3 2 3 2 3 2 3 2 2 3 2 2 2 1 2 3 2 2 2 3 1 2 2 2 3 3 2 3 3 3 2 2
## [1909] 2 2 1 3 2 3 3 1 2 2 2 3 2 3 2 3 2 1 2 2 2 2 2 1 2 1 2 3 3 2 2 3 2 3 3 2
## [1945] 3 2 3 2 2 1 1 2 2 3 2 2 2 3 3 2 3 2 2 3 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 3
## [1981] 2 2 3 3 3 2 3 2 3 3 2 2 2 1 2 3 3 3 2 3 3 3 2 2 2 2 3 2 3 2 3 3 3 2 2 3
## [2017] 3 3 2 2 2 2 2 2 3 2 2 3 2 1 3 3 3 3 3 2 3 2 2 2 3 3 2 2 3 3 2 2 2 2 2 3
## [2053] 1 2 2 2 1 1 3 2 2 1 3 3 3 3 2 3 2 3 3 3 2 3 2 3 2 2 2 3 3 2 2 2 2 2 2 2
## [2089] 2 1 2 3 2 3 2 3 3 1 3 2 2 2 1 3 1 2 1 3 2 3 3 3 3 2 2 3 2 2 2 2 3 2 3 2
## [2125] 2 3 2 2 3 2 1 3 3 3 2 2 2 2 2 2 3 2 1 3 3 2 2 2 2 2 3 1 2 3 2 2 2 2 2 2
## [2161] 3 3 2 2 3 2 2 2 2 3 2 2 1 3 3 1 2 2 3 2 2 3 1 2 2 3 3 2 3 1 3 2 2 3 2 2
## [2197] 2 2 2 2 3 3 3 3 3 2 2 2 3 3 1 2 2 3 3 3 3 3 2 3 2 2 3 2 2 2 2 3 2 1 3 3
## [2233] 2 2 3 1 1 2 3 2 2 2 3 3 3 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 1 2 2 2 2
## [2269] 2 2 2 3 1 2 3 3 1 3 3 2 3 2 1 1 3 1 2 2 2 2 3 2 3 1 2 2 2 2 2 2 3 3 2 2
## [2305] 3 3 2 2 2 3 2 3 3 3 2 3 2 2 3 3 2 1 3 1 2 1 2 2 3 2 2 2 1 1 2 3 3 3 3 2
## [2341] 2 2 3 1 2 2 3 3 3 3 2 2 1 2 2 2 1 3 2 2 2 2 2 1 2 2 3 2 2 3 3 3 3 2 2 2
## [2377] 3 1 2 3 1 2 2 2 3 2 2 3 3 3 3 3 3 1 2 3 2 3 2 3 3 2 2 2 2 2 3 2 3 2 3 2
## [2413] 3 2 3 3 1 2 1 3 1 3 3 1 2 2 3 2 3 2 2 2 2 1 2 1 2 2 2 2 2 3 2 2 2 2 3 2
## [2449] 2 2 2 3 2 2 3 2 1 3 2 2 2 3 2 2 3 3 3 2 3 3 2 2 3 3 2 2 3 2 2 2 2 3 3 2
## [2485] 3 2 3 2 2 3 2 3 2 2 2 2 2 3 2 2 2 3 2 3 2 3 2 3 2 2 2 2 2 1 2 2 2 2 1 2
## [2521] 1 2 2 2 3 3 2 2 1 2 2 2 2 1 2 3 2 3 3 3 1 2 3 2 2 2 2 2 2 1 2 2 2 3 1 3
## [2557] 2 3 3 3 3 3 1 2 3 2 3 2 3 2 2 2 2 2 3 2 2 3 3 3 2 3 2 3 3 2 2 3 2 3 3 2
## [2593] 2 2 2 3 2 2 3 3 2 2 3 2 3 2 3 2 3 2 2 2 2 2 3 1 3 3 2 1 2 1 2 3 2 3 3 2
## [2629] 2 2 2 3 3 3 3 2 3 3 2 2 2 2 2 2 2 3 2 2 3 2 3 2 2 2 1 2 2 2 2 3 3 2 2 3
## [2665] 3 2 3 2 3 2 2 2 2 2 2 3 1 2 2 2 1 1 2 1 2 2 1 3 1 2 2 2 3 2 2 2 2 2 2 2
## [2701] 2 2 2 3 1 2 2 1 3 2 3 3 1 2 2 2 2 3 2 2 2 2 3 2 2 3 3 2 3 2 2 3 3 2 2 3
## [2737] 2 2 3 1 3 3 2 1 3 3 3 2 2 3 3 1 3 2 2 3 2 3 2 3 2 1 2 2 2 3 3 2 1 2 2 2
## [2773] 2 2 2 3 3 2 2 3 2 2 3 3 3 2 2 2 2 3 3 2 2 1 3 2 1 2 2 2 2 3 3 2 2 2 2 2
## [2809] 2 2 2 2 2 2 2 2 2 3 2 2 1 3 2 3 3 3 2 3 2 3 1 2 2 2 3 2 2 3 2 3 2 2 3 1
## [2845] 3 2 2 2 2 2 3 2 2 2 2 2 3 2 2 3 3 1 3 2 2 3 2 2 2 2 2 2 2 3 2 2 3 2 3 2
## [2881] 2 3 2 3 3 2 3 3 2 2 3 3 2 2 3 2 1 2 2 2 2 3 3 3 2 3 2 3 2 2 2 2 3 3 2 2
## [2917] 2 2 1 2 2 3 2 2 2 3 2 3 1 3 3 2 2 3 3 2 2 2 3 3 2 3 3 2 3 2 2 2 1 2 2 2
## [2953] 2 2 2 2 3 2 3 2 3 2 2 2 3 2 2 3 3 3 3 2 3 2 3 2 2 2 2 1 2 2 2 2 3 2 3 2
## [2989] 3 2 2 2 3 2 2 3 3 3 2 2 2 3 2 3 1 2 3 2 2 2 2 3 2 2 3 3 3 2 2 3 2 3 2 2
## [3025] 2 2 2 2 2 3 2 3 3 3 2 2 2 3 2 3 2 3 2 2 2 2 2 2 1 3 2 2 2 2 3 2 2 2 2 3
## [3061] 2 2 2 3 2 2 3 2 2 1 3 2 2 3 2 3 3 2 3 3 2 2 2 3 3 2 2 3 2 3 1 3 3 2 3 2
## [3097] 2 3 3 2 1 2 2 2 3 3 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2 3 3 2 2 2 2 3 2 3 3 2
## [3133] 2 3 2 2 2 1 2 3 2 1 2 3 2 2 3 2 3 3 2 2 2 3 3 3 3 1 3 2 2 2 3 2 3 2 2 1
## [3169] 3 3 1 3 3 1 2 2 2 2 3 3 2 1 2 2 3 3 2 1 3 2 3 3 2 3 3 3 3 3 3 2 3 2 3 2
## [3205] 3 3 3 3 2 2 2 2 2 3 2 3 2 3 2 3 3 3 2 1 2 2 2 3 3 2 2 1 2 2 2 3 3 3 2 2
## [3241] 3 2 2 2 3 2 3 2 3 2 2 3 2 3 3 2 2 2 2 2 3 2 2 3 2 1 3 2 3 1 2 3 1 2 2 2
## [3277] 2 3 2 2 3 1 2 2 2 1 3 2 1 3 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2
## [3313] 3 3 2 2 2 3 3 2 2 3 2 2 3 2 3 2 3 3 1 1 2 2 2 2 3 2 3 2 3 3 2 2 2 3 2 3
## [3349] 3 2 3 2 2 2 2 3 2 3 2 3 3 1 2 2 3 3 2 1 2 3 3 2 3 2 3 3 2 2 2 2 3 3 2 2
## [3385] 2 2 2 2 3 2 2 2 3 2 2 2 2 3 3 2 2 2 2 2 2 3 2 3 2 2 3 3 3 3 2 2 2 2 2 2
## [3421] 3 3 3 2 2 2 2 2 2 3 3 1 2 2 2 3 2 2 1 3 2 3 2 2 2 2 2 2 3 2 2 2 2 3 2 3
## [3457] 2 3 2 2 3 2 2 2 2 1 2 2 2 2 2 2 2 1 3 2 2 2 3 2 2 2 3 2 2 1 3 2 3 2 1 3
## [3493] 2 3 2 2 2 2 2 3 3 2 2 3 2 3 2 2 2 3 3 3 3 2 3 3 2 3 2 2 2 3 1 2 3 3 3 2
## [3529] 2 3 3 2 2 2 3 2 2 3 2 2 3 3 3 2 2 2 3 2 3 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2
## [3565] 3 2 1 2 2 2 2 3 2 2 2 2 2 1 3 2 2 3 3 2 2 2 2 2 2 2 2 3 2 2 2 1 3 1 2 2
## [3601] 3 2 3 3 3 2 2 2 2 2 2 2 2 3 2 3 2 2 2 3 2 2 2 2 2 2 2 2 3 2 3 1 2 3 3 2
## [3637] 3 2 3 3 2 2 3 2 3 2 3 2 2 1 1 2 2 2 3 2 2 2 2 2 2 2 2 1 3 3 2 3 2 2 2 2
## [3673] 2 2 3 2 2 1 2 2 3 2 3 2 3 2 3 2 2 3 2 3 2 2 2 2 2 3 2 3 2 2 2 3 2 2 3 2
## [3709] 3 2 2 2 3 3 3 3 3 2 3 3 2 1 2 2 3 3 2 2 2 3 2 2 3 2 2 2 3 2 3 2 2 3 2 2
## [3745] 3 3 2 2 2 3 3 2 3 2 2 1 2 3 2 3 2 2 2 2 3 3 2 2 2 2 2 2 3 2 2 1 2 2 3 3
## [3781] 2 3 3 1 2 2 2 2 3 2 3 2 2 2 2 3 2 3 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 3
## [3817] 2 3 2 2 2 2 3 3 2 3 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1
## [3853] 3 3 1 2 2 3 2 2 2 2 3 3 2 3 2 3 2 2 1 3 3 2 3 3 3 2 3 2 3 3 3 2 3 2 2 2
## [3889] 3 3 2 1 2 2 2 3 3 3 3 3 2 2 2 2 2 3 2 2 2 1 2 2 3 1 2 2 3 3 2 2 3 2 2 3
## [3925] 3 2 2 2 2 3 3 2 1 2 2 3 3 3 3 2 2 2 2 2 3 2 2 3 1 2 2 3 3 2 1 3 1 2 2 2
## [3961] 2 3 2 2 2 2 3 3 2 3 2 2 2 2 2 2 3 2 3 2 2 3 2 2 1 2 2 2 3 2 3 3 1 2 2 2
## [3997] 2 3 3 2 3 2 3 2 2 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 2 3 2 3 3 3 2 2 3 2
## [4033] 2 2 3 3 2 3 2 1 2 2 3 2 2 2 2 2 2 3 3 2 3 1 2 2 3 2 2 3 3 3 3 2 2 3 2 3
## [4069] 3 3 3 2 3 2 2 2 2 3 2 2 2 3 2 2 3 2 2 2 1 2 2 2 3 3 1 2 2 2 3 2 2 3 2 2
## [4105] 2 3 2 2 3 3 2 3 3 2 3 3 2 2 2 2 3 2 3 2 3 2 2 3 2 3 3 3 3 3 3 2 1 3 2 2
## [4141] 3 2 1 2 2 2 3 3 2 2 3 2 1 3 2 2 2 3 2 2 3 2 3 1 2 3 2 1 3 2 1 2 3 3 2 2
## [4177] 1 2 1 2 3 3 1 3 3 3 1 2 2 3 2 3 2 3 3 3 2 3 2 3 2 2 2 2 2 2 3 3 2 2 2 3
## [4213] 3 2 2 3 2 2 2 2 3 2 3 2 1 2 3 3 2 3 3 1 2 2 3 2 2 2 2 2 1 2 2 2 2 3 3 3
## [4249] 3 3 3 3 3 3 2 2 2 3 3 3 3 2 2 3 2 2 3 2 3 2 2 2 3 3 2 3 2 2 3 2 2 2 3 2
## [4285] 2 3 3 2 2 2 2 2 2 3 2 3 2 3 1 3 2 3 2 3 2 2 2 3 2 2 2 2 3 2 2 2 3 3 2 2
## [4321] 3 3 2 3 2 2 3 2 1 3 2 3 3 3 2 2 2 2 2 3 2 3 2 1 2 2 3 2 3 2 2 2 3 3 3 2
## [4357] 1 3 3 3 3 2 3 2 2 1 2 2 2 2 2 3 3 2 1 3 2 2 3 3 2 3 2 3 3 2 2 2 3 3 2 2
## [4393] 2 3 2 2 2 3 3 1 2 3 2 1 2 1 3 2 3 2 2 3 2 2 2 2 2 3 2 3 2 3 2 3 3 2 1 2
## [4429] 3 2 3 3 3 3 3 2 3 2 3 3 2 3 2 3 3 2 3 2 2 3 2 3 2 3 2 2 2 1 3 2 2 1 3 1
## [4465] 2 3 3 2 1 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 1 3 2 2 3 2 3 3 1 2 2
## [4501] 3 2 3 2 2 3 3 1 2 3 3 3 2 2 3 3 3 2 3 3 2 3 2 2 1 1 2 2 2 3 2 3 3 2 2 2
## [4537] 3 1 2 3 3 2 3 2 3 3 3 2 3 3 3 2 1 2 2 2 3 2 3 2 2 2 2 2 2 2 2 3 3 2 2 2
## [4573] 2 3 3 2 3 2 3 2 3 2 2 2 3 3 2 2 2 2 2 3 2 3 2 2 2 2 3 2 2 3 2 3 2 2 3 1
## [4609] 3 3 2 3 2 3 2 3 3 2 2 2 2 3 3 3 2 1 2 2 2 3 3 2 3 2 2 2 2 3 2 2 2 3 3 3
## [4645] 2 3 2 3 2 2 2 3 2 2 2 3 2 3 3 2 2 2 2 3 3 2 2 2 2 2 3 3 2 2 3 2 2 2 3 3
## [4681] 3 3 3 3 2 2 2 2 3 2 2 2 1 3 3 2 3 3 2 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2
## [4717] 3 2 2 3 3 2 2 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 2 3 2 3 2 2 2 2 3 2 3
## [4753] 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 2 3 2 2 2 2 3 2
## [4789] 3 2 3 3 2 3 2 3 2 2 3 1 2 2 3 2 2 3 2 3 2 3 2 2 2 2 3 2 3 1 2 2 3 3 2 2
## [4825] 2 2 2 2 3 2 2 3 3 3 2 2 3 2 2 2 2 3 2 2 3 3 3 1 2 2 3 2 2 2 3 2 2 2 2 2
## [4861] 2 1 1 2 2 3 2 2 2 3 3 3 2 2 3 2 2 3 3 3 3 2 2 1 3 2 2 1 3 3 2 2 3 2 2 2
## [4897] 1 3 2 3 3 3 3 3 3 2 2 3 2 2 2 2 2 1 2 1 2 3 3 2 3 2 3 3 2 2 1 2 3 2 2 2
## [4933] 3 3 2 2 3 3 2 2 2 3 2 2 2 3 2 2 3 3 3 2 3 3 1 3 2 2 2 2 2 2 2 3 2 2 3 3
## [4969] 3 2 2 2 2 2 3 3 2 2 2 2 2 3 2 2 2 3 2 3 2 2 3 2 2 2 3 2 3 2 3 2 2 2 2 2
## [5005] 3 3 3 1 3 3 2 2 2 2 2 1 2 2 2 3 2 2 2 3 2 2 2 3 3 2 3 3 2 2 3 2 2 2 1 3
## [5041] 2 2 3 1 2 3 2 3 2 2 2 3 2 2 2 2 1 2 3 3 2 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2
## [5077] 2 2 2 2 2 2 3 2 2 3 2 2 3 3 3 3 2 2 3 1 1 2 2 3 3 2 3 2 2 3 2 1 2 1 2 3
## [5113] 3 3 3 3 3 2 1 2 2 2 2 3 2 2 2 3 3 2 3 2 3 1 1 3 2 1 1 3 3 2 2 2 3 3 3 1
## [5149] 2 3 3 3 3 3 2 1 2 2 2 2 2 3 2 1 2 2 2 2 2 2 2 2 3 2 3 1 2 2 3 2 3 2 3 2
## [5185] 2 3 3 3 3 2 3 2 3 2 3 3 2 2 1 1 2 2 2 3 2 2 2 3 3 1 2 2 2 2 3 3 3 3 3 2
## [5221] 2 2 3 2 2 3 3 2 2 2 2 2 2 3 1 3 2 3 2 3 2 3 3 2 3 2 2 2 3 3 2 3 2 3 1 2
## [5257] 2 2 2 3 3 3 2 3 1 2 2 3 2 2 1 1 3 2 2 3 1 3 2 1 3 3 2 2 2 2 1 3 2 3 2 1
## [5293] 2 2 2 3 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 2 3 2 1 2 2 2 2
## [5329] 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3 2 2 2
## [5365] 3 3 2 2 3 3 2 3 1 2 3 2 2 1 1 2 2 3 2 2 2 2 2 2 2 3 2 2 2 3 3 2 3 2 2 3
## [5401] 2 3 2 2 2 2 2 1 3 2 3 2 2 3 2 2 2 3 2 3 2 2 3 2 2 3 2 2 3 2 1 2 2 3 3 3
## [5437] 2 2 2 3 3 2 2 2 2 2 3 3 2 3 2 3 2 2 2 2 2 3 3 2 3 3 2 2 3 3 2 3 3 2 2 2
## [5473] 2 3 3 2 3 3 2 3 3 2 3 3 2 3 2 2 3 2 3 3 3 3 3 2 3 3 2 2 3 2 2 2 1 2 2 3
## [5509] 3 3 2 3 3 3 2 3 2 3 2 3 3 2 2 3 3 2 3 3 2 2 3 3 3 3 2 3 3 2 2 2 2 2 3 3
## [5545] 2 3 3 2 2 2 3 2 2 2 3 3 3 1 2 2 2 3 2 3 2 3 2 2 2 3 2 3 3 2 3 3 2 2 2 2
## [5581] 2 2 2 3 2 3 3 2 2 2 2 2 3 2 1 2 3 3 2 2 3 1 2 3 3 2 2 2 3 2 2 2 2 2 2 2
## [5617] 3 3 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 2 3 3 3 2 2 3 3 3 3 3 2 3 3 3 3
## [5653] 3 2 2 2 2 1 3 3 2 2 2 2 2 3 2 3 3 1 2 2 2 3 3 2 2 2 2 3 2 2 2 3 3 2 2 2
## [5689] 3 3 3 2 2 3 2 2 2 3 2 2 3 2 2 3 2 2 2 3 3 3 3 3 3 2 2 2 3 2 2 3 2 2 2 2
## [5725] 2 1 2 3 3 2 3 2 3 2 2 3 2 3 3 2 2 3 2 2 3 3 3 2 3 2 3 3 2 2 3 3 3 3 3 3
## [5761] 3 3 3 2 2 2 2 2 2 3 2 2 3 3 2 3 3 2 2 2 3 3 3 2 3 2 2 3 3 2 3 2 2 2 2 2
## [5797] 2 2 2 2 1 2 3 3 2 3 3 3 2 3 2 2 3 3 2 3 3 3 3 2 2 3 2 3 3 2 2 3 3 3 2 3
## [5833] 3 3 2 2 3 3 2 2 2 2 2 2 3 3 2 2 2 1 2 3 2 2 3 2 2 2 2 1 2 3 2 2 3 2 2 2
## [5869] 2 3 2 2 2 2 3 2 2 3 2 3 2 2 2 3 1 3 2 2 2 2 3 3 2 3 2 3 2 2 2 3 3 2 3 3
## [5905] 2 2 3 2 3 3 3 2 2 3 3 2 3 3 3 2 2 2 3 2 1 2 3 2 3 3 2 2 2 1 3 3 2 3 2 3
## [5941] 3 2 3 2 2 2 2 2 3 2 2 3 3 2 3 1 3 3 2 2 2 3 3 3 2 3 3 2 2 3 3 3 3 2 2 2
## [5977] 3 2 3 1 2 3 2 3 3 2 2 2 3 3 3 2 2 3 2 2 3 2 3 2 2 2 3 2 3 3 3 3 2 3 3 3
## [6013] 3 2 3 3 3 2 2 2 3 2 3 3 2 3 2 3 3 3 3 3 2 2 3 2 2 2 3 2 2 3 2 2 2 2 3 2
## [6049] 2 2 3 3 2 3 3 2 2 2 3 3 3 3 2 2 1 2 3 3 2 3 2 3 3 3 3 1 2 3 3 2 3 2 3 2
## [6085] 2 3 3 2 2 3 3 2 3 2 2 2 3 2 3 3 2 2 3 3 3 3 2 2 3 2 3 3 3 2 2 2 3 3 2 3
## [6121] 2 2 2 2 2 3 2 3 2 3 1 2 2 3 2 2 3 2 2 3 2 3 2 2 3 3 3 1 3 3 3 3 3 3 2 2
## [6157] 3 3 3 3 3 3 3 3 2 3 3 3 2 3 3 1 2 2 2 3 3 2 3 2 3 2 3 2 2 2 3 3 2 1 3 3
## [6193] 3 2 3 2 2 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 2 3 2 2
## [6229] 2 3 2 3 2 2 3 3 2 2 3 3 3 3 3 3 3 2 2 3 3 2 2 3 3 3 2 2 2 3 3 2 1 3 3 3
## [6265] 2 2 3 2 1 2 3 3 2 3 2 2 3 2 3 2 2 3 2 2 3 2 2 2 3 3 2 2 2 3 2 2 3 3 3 3
## [6301] 3 3 2 3 3 2 3 3 2 2 3 3 3 3 2 2 2 3 3 3 3 2 3 2 3 3 3 2 3 3 3 2 3 2 2 3
## [6337] 2 3 2 2 2 2 2 3 2 2 2 3 3 2 3 3 2 3 3 3 2 2 3 2 3 3 3 2 2 2 2 3 2 2 3 3
## [6373] 2 2 3 1 2 2 2 3 3 2 2 2 3 2 3 2 2 3 2 3 2 2 3 2 2 2 3 2 2 3 2 3 2 3 3 2
## [6409] 3 3 2 3 2 3 2 2 3 2 3 2 2 3 3 3 2 3 3 2 2 3 3 3 2 2 2 3 3 2 2 2 2 3 2 3
## [6445] 3 3 2 2 3 3 3 2 3 3 3 2 3 3 2 3 1 3 3 2 2 1 2 3 2 3 2 3 2 3 3 2 3 3 2 2
## [6481] 2 2 3 2 3 2 2 3 3 3 3 3 2 3 3 3 2 2 2 3 3 2 3 2 3 3 2 1 2 3 2 3 2 3 2 2
## [6517] 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 2 1 2 3 2 3 3 2 3 2 3 3 3 3 2
## [6553] 2 3 3 3 2 3 2 3 2 3 3 2 2 3 3 3 3 2 2 3 3 3 3 2 3 1 2 2 2 2 3 3 3 3 2 2
## [6589] 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 3 2 3 2 3 2 2 3 2 2 3 3 3 3 3 2 3 2 2 2 2
## [6625] 2 3 2 3 2 2 1 3 2 3 2 2 2 2 3 3 3 3 2 2 3 3 2 3 2 3 3 2 2 2 3 2 3 2 2 2
## [6661] 2 3 2 3 2 3 3 2 2 1 3 3 3 2 3 3 2 3 3 3 3 2 2 2 3 3 2 3 3 3 1 3 2 3 3 3
## [6697] 2 2 2 3 1 2 2 2 2 3 3 3 3 3 2 3 2 3 3 3 2 2 1 3 2 2 3 2 3 3 3 3 3 3 2 2
## [6733] 2 3 2 2 2 3 2 2 3 3 3 1 3 2 2 2 3 3 2 3 3 2 2 1 3 3 1 2 3 2 3 3 3 3 2 3
## [6769] 3 2 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 1 2 3 2 3 2 2 3 3
## [6805] 3 2 2 2 2 3 1 3 3 2 2 3 3 3 2 3 3 2 3 2 3 2 2 2 2 2 1 3 2 3 3 2 3 2 3 2
## [6841] 3 3 3 3 2 2 3 2 3 3 3 2 3 2 3 3 1 2 3 2 3 3 3 3 3 2 3 2 3 3 3 3 2 3 2 2
## [6877] 3 3 3 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 3 2 3 2 2 3 3 2 2 2 3 3
## [6913] 3 2 3 2 2 2 3 3 2 3 2 1 3 3 2 3 2 1 3 2 2 3 3 2 3 3 3 3 3 3 3 2 3 3 2 2
## [6949] 3 3 3 2 2 2 2 3 3 3 3 3 2 3 3 2 3 2 2 2 3 3 2 3 3 2 3 2 2 2 2 3 2 3 3 2
## [6985] 2 2 2 2 2 3 2 2 3 2 1 3 3 3 3 3 2 2 2 3 2 1 2 3 2 3 3 3 2 3 2 3 2 2 3 2
## [7021] 3 2 3 3 3 2 3 2 2 2 3 2 2 2 2 2 3 2 3 3 3 3 2 1 2 3 2 2 2 2 2 2 2 3 2 3
## [7057] 2 3 3 3 2 3 2 3 3 3 2 2 3 3 2 2 3 3 2 3 2 2 2 3 3 2 3 2 3 3 3 3 2 3 3 3
## [7093] 3 2 3 2 3 3 2 2 2 3 2 3 2 2 3 2 3 2 2 2 2 3 3 3 2 2 3 3 2 3 3 2 3 2 2 2
## [7129] 3 3 3 3 2 2 3 3 3 2 2 2 3 1 3 3 3 3 3 3 3 3 2 1 3 2 3 2 2 2 3 2 3 1 2 2
## [7165] 3 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 2 3 3 2 2 1 3 2 2 3 3 2 3 3 3 3 2 3 3 2
## [7201] 3 2 2 3 2 2 3 3 3 2 1 3 1 2 3 2 2 2 2 3 2 3 2 3 3 3 3 3 2 3 3 2 2 3 2 3
## [7237] 3 2 2 2 3 2 3 3 2 3 3 2 2 2 3 3 2 2 2 2 2 3 3 2 3 3 2 3 2 1 1 3 3 2 3 2
## [7273] 3 2 2 1 1 2 3 2 3 3 3 3 3 2 3 3 1 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 2 3 3
## [7309] 3 3 3 2 2 3 3 3 2 3 1 3 3 3 2 3 2 2 3 3 2 3 3 3 2 2 3 3 2 2 3 3 3 3 2 3
## [7345] 1 2 2 2 2 3 3 2 2 3 2 3 2 2 3 2 1 3 3 3 3 2 3 3 2 2 3 3 2 3 2 2 2 3 3 2
## [7381] 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3 2 2 2 2 3 3 1 3 3 3 3 3 2
## [7417] 3 3 2 3 2 3 3 3 3 3 2 3 2 1 2 3 3 2 2 1 2 3 2 2 2 3 2 3 1 3 2 2 3 3 2 3
## [7453] 2 2 2 2 2 3 3 3 3 2 2 1 2 2 2 3 3 3 3 3 3 3 3 2 1 2 3 3 3 1 2 2 3 3 3 2
## [7489] 2 2 2 2 2 2 3 2 2 2 3 3 3 2 3 3 3 3 2 3 3 3 2 3 2 2 2 3 2 2 3 3 2 2 3 3
## [7525] 2 2 2 3 2 2 2 3 3 2 2 3 2 3 3 3 2 3 3 2 2 3 3 3 2 3 3 2 3 3 2 2 3 3 3 3
## [7561] 3 2 2 3 3 2 3 1 2 2 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 2 2 2 3 3 2 3 2 3 2
## [7597] 3 2 2 3 1 1 1 2 3 2 3 3 2 2 2 3 3 3 3 3 3 3 2 3 3 2 3 3 2 3 3 2 3 3 3 3
## [7633] 3 2 2 1 2 3 2 2 3 2 1 3 3 2 3 3 2 3 3 3 2 2 3 3 2 2 3 2 2 3 3 3 2 2 2 1
## [7669] 3 3 2 3 3 3 3 3 3 2 2 3 3 2 2 2 2 2 3 2 2 3 2 2 3 2 2 3 3 3 3 2 2 3 2 3
## [7705] 1 2 3 2 3 3 2 2 3 3 3 2 2 2 3 3 2 2 2 3 3 3 2 3 3 3 3 3 3 1 2 3 3 2 3 3
## [7741] 2 2 2 3 2 1 3 3 3 3 3 2 2 2 2 3 2 3 3 3 2 2 3 3 2 2 3 3 3 3 3 1 2 3 3 3
## [7777] 2 2 2 3 3 2 3 3 2 2 2 3 3 3 2 3 3 3 2 2 3 3 3 2 2 3 3 3 3 3 2 3 3 3 2 2
## [7813] 3 2 3 3 2 3 3 3 2 3 2 2 3 2 1 2 3 3 3 2 3 3 3 3 3 2 3 3 3 3 2 3 2 2 3 1
## [7849] 2 2 3 2 3 3 2 3 3 3 3 3 3 3 2 1 3 1 2 2 2 3 3 3 2 2 3 2 3 3 3 2 2 2 3 3
## [7885] 3 2 1 3 2 2 3 2 3 3 3 3 2 3 3 3 3 2 2 2 3 3 2 2 3 3 3 3 2 2 3 3 2 2 2 2
## [7921] 2 1 2 2 3 3 2 3 1 2 3 2 3 2 2 2 2 3 3 2 3 3 3 2 3 2 3 2 2 2 3 2 3 3 3 2
## [7957] 3 2 2 3 2 3 2 3 3 3 2 2 2 2 3 3 2 2 3 3 3 3 3 3 2 2 1 2 2 2 2 2 2 3 2 3
## [7993] 2 2 3 2 3 1 3 3 2 2 2 2 3 2 3 2 3 3 3 1 2 2 2 2 2 3 2 2 2 1 2 2 2 2 3 2
## [8029] 3 2 3 2 2 3 2 2 3 2 3 3 3 3 2 2 3 3 2 2 1 2 3 3 1 3 3 2 3 2 2 3 2 2 2 2
## [8065] 1 2 3 2 2 1 2 3 2 3 1 2 3 2 3 1 2 3 2 2 3 2 2 3 3 2 2 3 3 3 3 3 3 3 2 2
## [8101] 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 2 3 2 2 3 2 2 3 3 2 3 2 1 2 2
## [8137] 3 3 3 2 2 2 3 2 3 3 3 2 3 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2 3 2 1 2 2 2 2 2
## [8173] 3 3 2 3 3 2 2 2 2 2 3 2 2 3 2 2 3 1 3 2 2 3 3 1 2 3 2 3 2 2 2 3 2 2 3 2
## [8209] 2 2 2 2 3 2 3 2 3 2 2 2 2 1 2 2 1 3 3 1 3 3 3 2 3 3 3 3 2 2 3 2 3 2 1 3
## [8245] 3 3 2 1 3 2 2 3 3 2 3 2 3 2 2 2 3 2 3 2 2 2 3 2 2 3 3 2 2 2 3 2 2 3 3 3
## [8281] 3 3 3 2 3 2 2 3 2 3 2 3 2 3 2 2 3 2 2 3 2 3 2 3 2 2 3 1 3 3 2 2 3 2 2 1
## [8317] 1 2 1 2 2 2 2 2 2 2 3 3 3 2 3 2 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 2 2
## [8353] 3 2 3 3 2 2 2 2 2 3 2 3 2 2 3 1 3 2 2 3 3 2 3 3 3 3 2 3 2 3 3 3 2 3 2 2
## [8389] 2 3 3 2 3 2 2 2 2 3 3 2 2 3 2 2 2 2 3 2 3 2 2 2 3 2 2 3 3 3 3 2 2 2 2 3
## [8425] 3 2 2 2 2 2 1 2 2 3 1 3 3 2 3 2 2 3 2 2 3 3 3 2 2 2 2 3 3 3 3 3 2 2 3 2
## [8461] 2 2 2 2 2 3 3 2 2 2 2 2 3 2 3 2 2 3 2 3 2 2 3 2 1 3 3 3 3 2 3 1 2 2 2 2
## [8497] 3 3 3 3 2 2 3 2 3 3 3 2 2 2 3 3 2 2 3 3 2 3 2 3 2 3 2 3 2 2 2 3 2 3 2 1
## [8533] 2 3 2 3 1 2 2 2 3 2 3 3 1 3 3 3 3 1 3 2 2 2 2 3 2 3 2 3 3 2 2 2 2 2 2 2
## [8569] 2 2 3 2 2 3 3 2 2 3 2 3 2 3 3 2 3 3 3 3 3 2 2 2 2 3 3 2 3 2 2 2 3 2 3 2
## [8605] 2 2 2 3 3 3 2 2 3 2 2 2 3 2 3 3 2 2 2 3 2 2 2 3 2 3 3 3 3 3 3 3 1 2 2 2
## [8641] 2 1 2 1 2 3 2 2 3 2 2 1 3 2 1 3 1 2 3 2 3 1 3 3 3 2 3 2 1 2 3 2 3 3 2 3
## [8677] 3 3 3 2 2 3 3 3 1 3 2 3 3 2 2 3 3 1 3 2 3 2 2 3 1 3 2 3 3 3 3 3 2 3 2 2
## [8713] 2 2 3 2 2 2 3 3 2 3 2 3 2 3 3 2 2 2 2 2 1 3 3 2 3 3 3 3 3 2 1 3 2 2 2 3
## [8749] 2 2 2 2 2 2 2 2 3 2 3 1 2 3 3 3 3 3 1 2 3 3 3 2 3 2 2 2 2 3 3 3 3 2 2 2
## [8785] 3 3 2 3 3 3 1 3 3 2 3 2 2 2 3 3 2 1 3 3 3 3 2 3 3 2 2 2 2 2 3 3 3 2 3 2
## [8821] 3 2 2 2 3 3 3 2 1 2 3 3 2 3 3 2 3 2 3 3 3 2 3 2 2 2 3 2 1 3 3 2 3 2 2 3
## [8857] 2 2 3 2 3 3 2 2 2 2 3 2 1 3 3 2 3 1 3 2 2 3 3 3 2 2 1 3 3 3 2 2 2 2 3 2
## [8893] 2 2 3 3 2 2 2 3 3 3 2 1 3 2 3 3 3 2 2 2 1 3 1 3 3 3 3 3 2 3 2 2 2 3 2 3
## [8929] 2 3 2 2 3 2 2 2 2 2 1 2 2 2 3 1 2 2 2 3 2 2 2 3 3 3 2 2 2 3 2 2 2 3 2 2
## [8965] 2 3 2 1 3 3 2 1 3 2 2 3 3 3 1 1 3 2 2 2 3 3 2 2 2 3 3 2 1 3 2 2 3 3 2 3
## [9001] 1 2 1 3 2 3 2 1 2 2 2 3 2 2 3 3 3 3 3 3 2 2 3 2 3 2 2 3 3 2 2 3 3 2 3 3
## [9037] 2 2 2 2 3 3 3 3 3 3 1 2 2 1 3 2 3 2 3 2 2 3 3 3 1 2 2 2 3 3 3 3 2 3 3 2
## [9073] 3 3 2 2 2 3 3 2 2 2 3 2 2 2 2 2 2 2 2 3 2 2 2 3 2 3 2 3 3 3 3 2 3 2 3 2
## [9109] 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 2 2 3 2 3 2 2 2 2 3 2 2 2 2 3 2 3 2
## [9145] 2 2 3 3 2 3 2 3 2 3 3 2 3 2 2 3 3 2 2 3 3 2 2 1 3 2 2 2 2 2 2 2 2 3 2 3
## [9181] 1 3 3 2 2 2 2 1 2 2 2 2 3 2 2 3 3 3 2 3 2 2 3 3 3 2 2 2 3 3 3 2 2 3 3 3
## [9217] 3 2 3 2 2 2 2 3 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 2 2 3 2 2 3 2 1 3 3 3 2
## [9253] 3 3 3 3 2 3 3 2 3 3 2 3 2 2 2 2 3 2 2 3 2 3 2 2 1 3 3 3 3 2 2 3 3 2 3 2
## [9289] 2 2 2 3 3 3 3 1 2 3 3 3 3 3 2 2 2 2 1 3 2 2 2 3 2 2 3 2 3 3 3 2 1 2 3 2
## [9325] 3 2 2 2 2 2 3 2 3 3 3 3 3 2 2 2 3 2 2 2 3 1 3 3 3 2 2 3 2 3 2 3 2 3 2 2
## [9361] 2 3 3 2 3 1 3 2 3 2 3 3 3 2 3 2 3 2 3 2 2 2 3 3 1 2 3 3 2 3 2 2 2 2 3 2
## [9397] 2 2 3 3 3 2 3 2 1 2 1 2 2 2 2 2 3 2 2 3 1 2 3 3 2 3 3 2 3 3 2 2 2 2 2 2
## [9433] 2 3 2 1 2 2 3 2 2 3 3 2 2 2 3 1 3 2 2 2 3 2 2 3 3 3 3 1 3 2 2 2 1 3 3 3
## [9469] 2 2 2 2 2 2 2 3 3 2 2 2 2 3 2 3 3 2 3 3 3 2 3 3 2 2 1 2 2 2 3 3 2 2 2 3
## [9505] 1 3 2 3 2 3 2 3 2 2 2 2 2 2 3 1 2 2 3 2 2 2 3 3 3 2 3 2 3 2 2 2 3 3 3 3
## [9541] 3 3 2 3 2 3 1 2 3 3 2 1 1 2 2 2 2 1 3 3 3 2 3 3 3 3 2 2 1 2 3 3 3 3 2 2
## [9577] 3 1 3 1 3 1 3 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 1 3 2 3 3 2 2 3 3 2 3 2
## [9613] 2 2 2 2 3 2 2 3 2 2 2 2 2 2 2 3 2 2 3 1 2 3 2 3 2 2 2 3 2 2 3 3 2 2 3 2
## [9649] 2 3 2 3 3 3 3 2 3 2 2 2 2 2 3 2 3 2 2 3 2 3 3 2 2 1 3 3 2 2 2 2 2 2 3 3
## [9685] 2 3 3 2 3 3 3 2 2 2 1 3 2 2 3 2 2 2 2 2 3 3 2 3 3 3 2 1 2 3 3 1 3 2 1 3
## [9721] 3 2 3 3 2 3 2 3 2 2 2 3 3 3 2 2 3 3 2 3 2 2 3 2 3 3 3 2 3 2 3 3 2 2 2 3
## [9757] 3 2 2 3 2 3 3 2 3 2 3 2 2 1 2 3 2 3 3 2 1 3 2 2 3 1 2 2 3 3 2 2 3 3 3 2
## [9793] 3 3 2 2 3 2 2 2 2 2 3 3 2 1 3 3 3 2 3 3 2 2 3 2 3 2 3 1 3 3 2 2 2 2 2 2
## [9829] 2 3 1 3 3 3 1 3 2 3 3 2 2 2 3 2 2 3 3 3 3 3 2 3 2 2 2 3 2 2 2 3 3 2 2 3
## [9865] 1 2 2 2 2 3 2 2 3 3 3 3 3 2 1 2 3 3 2 3 2 3 3 3 2 2 3 2 3 2 3 2 1 2 2 2
## [9901] 2 3 3 2 3 3 2 1 3 2 2 3 2 3 3 3 2 2 3 3 3 2 3 2 2 2 3 2 1 2 3 2 2 3 3 3
## [9937] 2 1 2 3 3 2 2 1 2 3 2 2 1 1 2 3 3 2 2 2 3 2 3 3 2 2 3 3 3 2 3 3 3 3 1 3
## [9973] 2 3 2 3 3 3 3 2 1 3 3 2 2 2 3 2 3 2 2 2 3 1 2 2 2 2 3 3 3 2 2 3 3 2 2 2
## [10009] 2 1 3 2 3 3 3 2 2 2 2 2 2 3 2 2 3 3 3 2 2 2 2 3 2 3 3 3 3 1 3 2 2 2 3 2
## [10045] 3 2 3 3 3 2 3 2 2 3 2 3 3 3 3 3 1 2 2 3 2 2 3 3 2 2 2 2 3 3 2 2 2 3 2 3
## [10081] 2 3 3 2 2 3 1 3 2 3 2 3 2 1 2 2 2 3 2 2 2 3 3 2 2 3 3 3 2 2 3 2 2 3 3 1
## [10117] 2 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 2 3 3 3 2 3 2 3 2 2 2 2 3 2 1 2 2 2 2 2
## [10153] 2 3 2 2 2 2 3 3 3 2 2 3 3 1 1 2 3 2 3 3 3 3 2 3 3 3 2 3 3 2 2 2 3 2 3 2
## [10189] 2 3 2 3 2 3 3 3 2 3 3 2 2 3 3 3 2 3 3 2 3 2 2 2 3 2 2 3 2 2 2 2 3 3 1 2
## [10225] 2 3 3 2 3 2 3 2 2 2 2 3 2 2 3 2 2 2 2 2 3 3 2 3 2 2 1 3 2 2 3 2 3 2 3 3
## [10261] 2 1 2 3 2 2 3 2 2 1 2 2 2 2 3 2 2 3 2 3 3 3 1 1 3 3 2 2 3 3 2 2 2 2 3 2
## [10297] 3 3 3 2 2 3 3 3 3 2 2 3 2 2 3 3 3 3 2 2 2 3 3 3 2 2 2 3 3 2 2 3 2 3 2 2
## [10333] 2 3 3 3 2 1 2 3 3 1 2 2 2 2 3 3 3 3 3 3 3 2 3 2 2 3 3 2 3 3 3 3 2 3 2 3
## [10369] 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 3 3 3 3 3 2 2 3 2 3 2 2 2 2 2 2 3 2 3 3 2
## [10405] 2 3 3 3 2 3 2 3 3 2 3 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 3 2 2 3 3
## [10441] 3 2 3 2 2 2 3 2 2 3 3 3 2 3 3 3 3 2 2 3 3 2 2 3 2 3 3 1 2 3 2 2 3 1 2 2
## [10477] 1 3 2 2 2 3 2 2 2 3 2 3 2 2 2 3 3 2 2 3 2 2 2 3 3 1 3 2 3 3 1 3 1 3 3 3
## [10513] 2 3 3 3 3 3 2 3 2 3 3 2 2 3 2 2 2 2 3 2 2 3 2 3 3 2 3 2 3 2 3 2 2 3 2 3
## [10549] 3 3 3 2 3 3 2 2 3 2 3 3 2 3 2 2 2 2 2 3 3 1 3 3 1 2 2 2 3 1 2 2 1 2 3 2
## [10585] 2 2 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 2 2 2 3 2 2 2
## [10621] 3 3 2 3 2 3 3 2 3 2 2 1 3 2 2 3 3 3 3 2 3 3 3 3 3 2 2 2 3 2 2 2 2 2 3 3
## [10657] 2 3 2 2 2 3 2 3 3 3 3 2 3 2 2 2 3 3 3 1 2 2 3 3 2 1 3 3 2 3 2 2 2 3 2 2
## [10693] 3 2 3 1 3 2 2 2 3 2 2 3 2 3 2 2 2 3 2 2 3 2 3 3 2 3 2 3 3 2 3 2 2 2 2 2
## [10729] 2 2 2 3 3 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 1 3 3 3 2 3 2 3 2 3 2 3 1
## [10765] 3 3 3 3 2 2 2 2 3 2 3 3 2 3 3 2 3 1 2 1 2 2 2 3 2 1 2 2 1 2 1 1 2 2 2 2
## [10801] 2 3 3 3 3 2 2 3 2 2 3 3 3 2 2 3 3 2 2 3 2 2 2 3 3 3 2 3 2 2 2 1 2 3 3 3
## [10837] 2 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 2 2 3 2 1 3 2 2
## [10873] 2 3 2 3 2 3 3 2 2 3 3 3 3 3 2 3 3 3 2 2 2 2 3 3 2 3 3 2 2 2 3 2 3 2 2 2
## [10909] 3 3 2 2 3 3 2 2 3 1 2 3 3 2 3 2 3 2 3 3 2 2 3 3 2 2 3 3 2 3 3 3 1 3 2 2
## [10945] 2 3 2 3 3 2 2 1 2 1 3 3 3 2 2 1 2 2 2 1 2 2 2 3 2 2 3 2 3 3 2 2 2 3 3 2
## [10981] 3 2 3 3 2 3 2 3 1 3 3 2 3 3 2 3 2 2 2 3 2 3 2 2 3 2 2 2 3 3 2 2 2 2 2 2
## [11017] 3 2 2 2 2 2 1 2 3 3 3 2 2 3 2 2 2 3 3 2 3 3 3 1 2 2 3 1 3 2 2 1 2 2 2 2
## [11053] 3 2 2 3 3 2 3 2 3 2 3 1 2 3 2 3 3 3 2 3 2 2 2 2 2 3 3 1 1 2 1 2 2 3 2 3
## [11089] 2 3 3 2 2 3 3 2 3 3 2 3 2 2 3 3 3 3 3 2 3 2 1 2 2 3 2 2 3 2 3 3 3 1 3 2
## [11125] 3 2 2 3 2 2 3 2 2 2 2 2 1 3 2 1 2 3 2 2 2 2 3 1 3 3 2 3 3 3 2 2 3 3 2 2
## [11161] 2 3 2 2 3 3 1 2 3 3 2 3 3 2 3 2 2 2 2 2 3 2 3 3 3 2 3 2 2 3 2 2 3 3 2 3
## [11197] 3 2 3 3 3 3 2 3 3 1 3 3 3 2 2 2 2 2 3 3 3 2 3 3 3 2 1 2 2 2 3 3 3 3 1 2
## [11233] 3 3 2 3 2 3 3 2 1 2 3 2 2 2 3 2 2 3 3 2 3 2 3 3 3 3 3 3 2 2 3 3 3 1 3 2
## [11269] 2 3 3 2 2 3 3 2 3 3 3 2 3 3 2 3 3 2 1 2 2 3 2 3 2 3 2 3 1 2 3 3 3 3 2 2
## [11305] 2 2 2 3 3 2 3 3 3 3 3 3 3 2 3 3 2 3 3 2 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2
## [11341] 2 2 3 3 3 2 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 3 2 2 3 3 2 3 2 3
## [11377] 2 3 1 3 2 2 3 3 2 3 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 3 2 2 1 3 3 3 3 2 2 3
## [11413] 2 2 2 3 2 3 2 1 2 3 2 3 2 3 3 2 3 2 2 3 3 2 3 3 3 2 1 2 2 2 3 3 2 2 3 3
## [11449] 3 2 3 3 2 2 2 2 2 2 2 3 3 2 2 2 1 2 2 2 3 3 3 3 3 3 3 2 3 3 2 3 2 3 2 2
## [11485] 3 2 2 2 2 2 2 3 3 2 3 3 2 3 2 3 2 3 2 3 3 3 2 2 2 3 1 3 3 3 3 3 2 3 3 3
## [11521] 2 2 2 1 2 2 3 2 2 2 3 2 2 3 2 3 2 3 3 2 1 3 3 2 2 3 2 2 3 3 3 3 3 2 3 3
## [11557] 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 3 3 3 2 2 2 3 2 1 3 3 3 3 3 2 2 2 3 3
## [11593] 2 3 3 2 3 3 3 2 3 3 3 3 2 2 3 2 3 2 2 3 2 3 2 3 2 1 2 3 2 1 2 2 1 3 3 2
## [11629] 3 3 2 3 3 3 2 3 2 2 3 3 3 2 3 3 2 3 3 2 3 2 3 3 2 3 2 3 2 2 1 2 2 2 2 2
## [11665] 3 2 2 2 2 3 2 3 2 2 3 2 3 2 2 3 2 1 3 2 2 2 2 2 3 2 2 3 2 3 3 3 2 1 1 3
## [11701] 2 3 3 2 2 2 1 2 3 3 2 2 3 3 2 2 3 2 2 3 2 2 3 2 3 2 2 2 2 3 2 2 2 1 2 3
## [11737] 3 3 3 2 3 3 2 3 2 2 2 1 2 1 3 2 2 3 3 3 2 2 2 2 2 2 2 1 3 2 3 3 2 3 3 2
## [11773] 2 3 3 2 3 2 3 3 3 3 3 3 2 2 2 3 3 2 1 2 2 3 3 3 2 3 2 3 2 1 2 2 3 2 3 2
## [11809] 2 3 2 2 2 1 2 3 3 2 2 2 2 1 3 2 3 3 3 1 3 3 3 2 3 3 3 2 1 3 2 3 3 2 2 2
## [11845] 2 3 2 3 3 2 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 1 3 2 3 3 3 3 2 2 2 2 2 3 2 3
## [11881] 2 2 2 2 2 2 3 2 3 2 3 2 2 3 2 3 3 3 3 2 2 3 2 3 3 3 3 3 2 2 2 3 3 2 3 2
## [11917] 3 3 1 2 3 2 3 2 3 2 3 3 2 3 2 3 2 2 1 2 3 3 1 1 2 3 2 2 2 2 3 2 3 3 2 3
## [11953] 2 2 2 2 2 2 2 2 2 3 2 2 3 3 2 2 2 1 2 3 2 3 2 3 2 3 3 3 2 2 2 3 2 2 3 3
## [11989] 3 1 2 3 3 1 3 2 2 2 1 3 2 3 3 2 2 3 3 3 2 3 2 2 1 3 2 2 2 3 2 3 2 2 2 3
## [12025] 2 2 2 3 2 2 2 2 2 3 2 2 3 2 2 2 3 2 3 2 2 3 2 2 3 3 2 3 3 3 2 2 2 2 2 2
## [12061] 2 1 3 2 2 3 2 3 2 3 3 2 2 2 3 2 1 2 3 2 2 1 2 2 2 2 2 2 3 3 1 2 2 3 3 3
## [12097] 3 2 3 2 3 2 3 3 3 2 3 2 3 3 2 3 2 3 3 3 1 3 2 2 3 2 3 2 2 2 2 2 3 3 3 3
## [12133] 2 3 2 2 2 2 2 3 2 3 2 3 2 3 2 3 3 2 2 3 3 2 2 3 2 2 3 1 2 3 2 3 2 3 3 3
## [12169] 3 3 3 3 3 2 1 1 3 2 3 3 1 2 3 2 3 1 2 2 3 3 3 3 3 2 3 3 2 1 3 3 1 3 2 2
## [12205] 3 2 2 3 2 3 3 3 2 2 2 2 3 2 3 2 1 3 2 3 3 2 2 3 2 3 3 2 2 3 3 3 3 3 2 2
## [12241] 2 2 3 3 3 3 2 3 2 2 3 2 3 2 2 3 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2
## [12277] 3 2 3 2 2 2 3 2 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 3 3 2 2 3
## [12313] 3 3 2 2 2 3 2 2 2 1 3 2 2 3 2 2 3 2fviz_cluster(list(data = data_scaled, cluster = hc_cluster))
DBSCAN (parameter epsilon dan MinPts)
minPts <- 4
eps <- 1.5
kNNdistplot(data_scaled, k = minPts)
abline(h = eps, col = "red")
Penentuan parameter epsilon (eps) dilakukan menggunakan grafik kNN distance. Pada grafik tersebut, terlihat adanya perubahan yang cukup tajam pada bagian akhir kurva. Titik sebelum terjadinya kenaikan tajam tersebut dipilih sebagai nilai epsilon, yaitu sekitar 1.5. Garis merah pada grafik digunakan untuk membantu menandai batas nilai epsilon yang dipilih. Nilai MinPts ditentukan sebesar 4 dengan mempertimbangkan aturan praktis dalam DBSCAN, yaitu minimal 4 titik untuk membentuk suatu area yang cukup padat. Nilai ini dipilih agar model tidak terlalu sensitif terhadap noise, namun tetap mampu menangkap pola kepadatan utama dalam data.
dbscan_result <- dbscan(data_scaled, eps = eps, minPts = minPts)
dbscan_result$cluster## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [37] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [73] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [109] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [145] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [181] 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [217] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [253] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [289] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [325] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [361] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [397] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [433] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [469] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
## [505] 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [541] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [577] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [613] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [649] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [685] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [721] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [757] 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [793] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [829] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [865] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [901] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [937] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [973] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1009] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1045] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1081] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
## [1117] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1153] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1189] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1225] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1261] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1297] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1333] 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1369] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1405] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1441] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1477] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1
## [1513] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1549] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1
## [1585] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1621] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1657] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1693] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1729] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1765] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1801] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1837] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1873] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1909] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1945] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [1981] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2017] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2053] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2089] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2125] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2161] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2197] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2233] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2269] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2305] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2341] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2377] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2413] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2449] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2485] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2521] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2557] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
## [2593] 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2629] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1
## [2665] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2701] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2737] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2773] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2809] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2845] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2881] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2917] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2953] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [2989] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3025] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3061] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3097] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3133] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3169] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1
## [3205] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3241] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3277] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3313] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3349] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3385] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3421] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3457] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3493] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1
## [3529] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3565] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3601] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3637] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3673] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3709] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3745] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3781] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3817] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3853] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3889] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3925] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3961] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3997] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4033] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4069] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4105] 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4141] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4177] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4213] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4249] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4285] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4321] 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4357] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4393] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4429] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4465] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4501] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4537] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4573] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4609] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4645] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1
## [4681] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4717] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4753] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4789] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4825] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4861] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4897] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4933] 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [4969] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5005] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5041] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5077] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5113] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5149] 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5185] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5221] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5257] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5293] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5329] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5365] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5401] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5437] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
## [5473] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5509] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5545] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5581] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5617] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5653] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5689] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5725] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5761] 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5797] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5833] 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5869] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5905] 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5941] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [5977] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6013] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6049] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6085] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6121] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6157] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6193] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6229] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6265] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6301] 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6337] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6373] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6409] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6445] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6481] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6517] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
## [6553] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6589] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6625] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6661] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1
## [6697] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6733] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1
## [6769] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6805] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6841] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6877] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6913] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1
## [6949] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [6985] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
## [7021] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7057] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7093] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7129] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7165] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7201] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7237] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7273] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7309] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7345] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7381] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7417] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7453] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7489] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7525] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7561] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7597] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7633] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1
## [7669] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7705] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7741] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7777] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1
## [7813] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7849] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7885] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7921] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7957] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [7993] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8029] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8065] 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8101] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8137] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8173] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8209] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8245] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8281] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1
## [8317] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1
## [8353] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8389] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8425] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8461] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8497] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8533] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
## [8569] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8605] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
## [8641] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8677] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8713] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8749] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8785] 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8821] 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8857] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8893] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8929] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [8965] 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9001] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9037] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9073] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9109] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9145] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9181] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9217] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1
## [9253] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9289] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9325] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9361] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9397] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9433] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
## [9469] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9505] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9541] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9577] 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9613] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9649] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9685] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9721] 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9757] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9793] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9829] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9865] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9901] 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [9937] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0
## [9973] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10009] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10045] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10081] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
## [10117] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10153] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10189] 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10225] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10261] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10297] 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10333] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10369] 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10405] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10441] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10477] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10513] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10549] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10585] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10621] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10657] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10693] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
## [10729] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10765] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10801] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1
## [10837] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10873] 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10909] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10945] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [10981] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11017] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11053] 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11089] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11125] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11161] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11197] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11233] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11269] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11305] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11341] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11377] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11413] 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11449] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11485] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11521] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11557] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11593] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11629] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11665] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11701] 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0
## [11737] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11773] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11809] 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11845] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11881] 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11917] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11953] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [11989] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12025] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12061] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12097] 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12133] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12169] 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12205] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12241] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12277] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [12313] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1fviz_cluster(dbscan_result, data = data_scaled)
Fuzzy C-Means
fuzzy_result <- cmeans(data_scaled, centers = 3, m = 2)
fuzzy_result$cluster## [1] 2 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1
## [37] 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 1 2 2 3 1 1 1 1 3 1 2 1 3 2 1 2 2 1
## [73] 1 1 1 1 3 1 2 2 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1
## [109] 1 3 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 2 1 1 2 1 3 1 1 1 2 1 2 1 1 2
## [145] 1 1 1 1 1 1 1 2 2 1 1 1 2 1 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1
## [181] 1 2 2 1 1 1 1 3 3 3 2 3 1 1 1 1 3 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [217] 1 1 1 1 1 2 2 1 3 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 3 1 3 1
## [253] 2 2 1 1 1 3 1 1 1 2 1 1 1 3 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1
## [289] 3 1 1 1 1 2 1 1 1 1 2 1 3 1 2 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1
## [325] 3 1 1 1 1 1 2 1 1 3 1 1 1 1 1 1 1 2 2 1 2 1 1 3 1 1 1 1 3 3 1 1 2 1 3 2
## [361] 1 1 1 3 1 3 1 3 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 2 3 1 1 1 1 1 3 1 1 3 1 3
## [397] 1 1 2 3 3 1 3 1 3 1 3 1 3 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 3 1 2 1 1 2 1 1
## [433] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 2 1 3 1 1 1 1 1 3 1
## [469] 2 1 1 1 2 1 1 1 3 3 3 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 3
## [505] 1 1 1 1 1 1 3 3 2 3 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1
## [541] 2 1 1 1 3 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 3 3
## [577] 1 2 1 3 1 1 1 1 1 2 1 1 1 2 1 2 1 3 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 3
## [613] 3 3 1 1 3 1 3 3 1 1 1 2 1 1 1 1 1 1 3 1 3 1 1 3 2 1 2 1 1 3 1 1 3 1 1 1
## [649] 1 3 1 1 1 1 1 3 1 1 2 2 1 1 1 1 1 3 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1
## [685] 1 1 1 1 1 1 1 1 3 1 1 3 3 3 3 1 1 3 3 1 3 1 1 3 1 2 1 1 1 1 1 1 1 1 1 1
## [721] 2 1 3 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 2 1 1 1 1 1 1 1 3 3 3 1 3
## [757] 1 1 1 1 3 1 1 2 1 1 1 1 1 3 1 1 3 3 2 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [793] 1 1 1 1 3 1 1 3 1 1 3 1 2 2 1 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 2 2 1 1 1 1
## [829] 3 1 1 2 1 1 1 3 1 3 1 1 1 1 3 1 3 1 1 1 3 1 1 3 2 3 3 3 1 1 1 1 1 1 1 3
## [865] 1 1 3 1 1 1 2 3 2 3 1 2 1 3 1 1 1 1 3 1 3 1 1 1 1 2 1 1 1 1 3 1 1 2 1 1
## [901] 1 1 1 1 1 3 3 1 1 1 3 1 3 1 1 1 3 1 3 3 1 1 2 1 3 3 1 1 1 2 1 3 3 2 1 1
## [937] 1 1 1 3 1 3 2 1 3 2 1 2 3 1 1 1 3 1 1 3 2 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1
## [973] 1 1 2 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 3 1 1 1 1 3 1 3 2 1 1 1
## [1009] 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 3 3 1 1 1 1 1 1 1 2 2 3 3 1 1 1 3 1 3
## [1045] 1 1 1 2 1 3 3 3 1 1 3 2 1 1 3 2 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1
## [1081] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1 2 3 3 1 1 1 1 1 1 3 1 1
## [1117] 1 3 2 2 1 1 1 2 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 3 1 3 2 2 1 1 3 1 1 1 1 1
## [1153] 3 1 2 2 1 3 1 1 1 1 2 1 1 1 1 1 1 2 2 1 2 1 1 1 2 1 1 1 2 1 3 1 1 3 1 1
## [1189] 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 1 1 1 1 1 2 2 1 1 1 3 1 1 3 1 1
## [1225] 1 1 1 1 1 1 1 3 1 3 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1
## [1261] 1 1 1 1 1 2 1 3 1 1 1 1 3 3 1 1 3 3 1 1 1 3 1 3 1 2 1 1 1 2 1 2 1 1 1 2
## [1297] 1 1 1 1 1 3 3 3 1 2 1 1 1 1 1 3 3 1 1 1 1 1 3 1 3 3 1 3 3 2 1 1 1 1 1 1
## [1333] 2 1 1 1 2 1 1 3 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 1 2 1 1 3 1 1 3 2 2 1 2 1
## [1369] 3 3 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 1 1 3 2 2 1 1 3 2 1 2 3 1 1 2 1 1 1
## [1405] 1 1 1 1 2 2 1 1 2 3 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 2 1 1 1
## [1441] 1 1 1 1 1 1 1 1 3 3 1 1 2 2 1 1 1 1 1 1 1 3 1 3 3 1 1 1 1 1 3 3 1 2 1 2
## [1477] 1 1 1 3 1 1 1 2 3 1 1 3 1 1 3 3 3 1 1 3 3 3 2 3 1 2 2 1 1 1 1 1 1 3 1 3
## [1513] 3 1 1 2 3 1 2 3 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
## [1549] 1 1 1 1 1 1 3 1 3 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 3 2 1 1 2 1 1 3 1 1 3 1
## [1585] 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 2 1 2 3 1 2 1 1 1 1 1 1
## [1621] 1 2 1 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 2 1 1 1 1 3 3 1 3 1 1 1 1 1 1 2 1 1
## [1657] 1 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1 3 1 1 1 1 3 3 1 1 3 1 2 3 1 1 1 1 1 3 1
## [1693] 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 3 3 1 2 1 1 1 1 1 1 1 1 1 3 1 1 2 3 1
## [1729] 1 2 1 3 3 1 1 1 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 1
## [1765] 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 3 1 3 1 1 1 1 1 1 3 1 1 1 3 1 2 3 1 3 1
## [1801] 1 1 1 1 2 1 1 1 1 3 1 1 3 1 1 1 1 2 1 1 1 1 3 3 1 3 3 1 1 1 1 1 1 3 1 1
## [1837] 1 3 1 2 1 1 1 1 1 3 3 1 1 3 1 3 1 1 1 3 3 1 1 1 3 1 1 1 1 3 2 1 1 1 1 1
## [1873] 1 1 1 1 3 1 3 1 3 1 1 1 1 1 2 1 1 2 1 3 1 1 1 3 2 1 1 1 3 3 1 3 1 1 1 1
## [1909] 1 1 2 3 1 3 3 2 1 1 1 3 1 3 1 3 1 2 1 1 1 1 1 2 1 2 1 3 1 1 1 1 1 1 3 2
## [1945] 3 1 1 1 1 2 2 1 1 1 1 1 1 3 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3
## [1981] 1 1 3 1 3 1 1 1 3 3 1 1 1 2 1 1 3 3 1 1 3 1 1 1 1 1 3 1 3 2 1 3 3 1 1 3
## [2017] 1 3 1 1 1 1 1 1 3 1 1 1 1 2 1 3 3 1 1 1 3 1 1 1 3 3 1 1 1 3 1 1 1 1 1 3
## [2053] 2 1 1 1 2 2 1 1 1 2 1 1 3 1 1 1 2 3 3 3 1 3 1 1 1 1 1 3 3 1 1 1 1 1 1 1
## [2089] 1 2 1 1 1 3 1 1 3 2 3 1 1 1 2 3 2 1 2 3 1 3 3 3 1 1 1 3 1 1 1 1 1 1 1 1
## [2125] 1 1 1 1 3 1 2 1 3 3 1 1 1 1 1 1 3 1 2 3 3 1 1 1 2 1 3 2 1 1 1 2 1 1 1 1
## [2161] 1 1 1 1 3 1 2 1 1 3 1 1 2 3 3 2 2 1 3 1 1 3 2 1 1 3 3 1 3 2 3 1 1 3 1 1
## [2197] 1 1 1 1 3 3 3 1 3 1 1 1 3 3 2 1 1 3 3 1 3 3 1 3 1 2 1 1 1 1 1 3 1 2 1 3
## [2233] 1 1 3 2 2 2 3 1 2 1 3 3 3 1 1 3 1 1 1 1 1 1 3 3 3 1 1 3 1 1 3 2 1 1 1 1
## [2269] 2 1 1 1 2 1 3 3 2 3 3 1 1 1 2 2 3 2 1 1 1 1 3 1 3 2 1 1 1 1 1 1 3 3 1 1
## [2305] 1 1 1 1 1 1 1 3 3 1 1 1 1 1 3 3 1 2 1 2 2 2 1 1 1 1 1 2 2 2 1 3 3 1 3 2
## [2341] 1 1 1 2 1 1 3 1 1 1 1 2 2 1 1 1 2 1 1 1 1 1 1 2 1 1 3 1 1 3 3 3 1 1 1 1
## [2377] 3 2 1 1 2 1 1 1 3 1 1 1 3 3 1 3 1 2 1 1 1 3 1 3 3 1 1 1 1 1 3 1 3 1 1 1
## [2413] 1 1 3 3 2 1 2 1 2 3 1 2 1 1 1 1 3 1 2 1 1 2 1 2 1 1 2 1 1 3 1 1 1 1 3 2
## [2449] 1 1 2 3 1 1 3 1 2 3 1 1 1 1 1 1 3 1 1 1 3 3 1 1 3 3 1 1 3 1 1 2 1 1 1 1
## [2485] 3 1 3 1 1 3 1 3 2 1 1 1 1 1 1 1 1 1 1 3 1 3 1 3 1 1 1 1 1 2 1 1 1 1 2 1
## [2521] 2 2 1 1 3 3 1 1 2 1 1 1 1 2 1 3 2 3 3 3 2 1 3 1 2 1 1 1 1 2 1 1 1 3 2 3
## [2557] 1 3 1 3 3 3 2 1 3 1 3 1 3 2 1 1 1 1 1 1 2 1 1 3 1 3 1 1 3 1 1 3 1 3 3 1
## [2593] 1 2 1 1 2 1 1 3 1 1 3 1 3 1 3 1 3 1 1 1 1 1 3 2 3 3 1 2 1 2 1 3 1 3 3 1
## [2629] 1 1 1 3 1 3 1 1 1 3 2 1 1 2 1 1 1 3 1 1 3 1 3 1 1 1 2 1 1 2 1 3 1 1 1 3
## [2665] 3 1 3 1 3 1 1 1 1 1 1 1 2 1 1 1 2 2 1 2 1 2 2 1 2 1 1 1 3 1 1 1 1 1 1 1
## [2701] 1 1 2 3 2 1 1 2 1 1 3 1 2 1 1 1 1 3 1 1 1 1 1 1 3 3 3 1 1 1 1 3 1 1 2 3
## [2737] 1 1 3 2 1 3 1 2 1 1 3 1 2 3 3 2 1 2 1 3 2 3 1 3 1 2 1 1 1 3 3 1 2 1 1 1
## [2773] 1 1 1 1 3 1 2 3 1 1 3 3 1 1 1 1 1 1 1 1 1 2 1 1 2 2 2 1 2 1 3 1 1 1 1 1
## [2809] 1 1 3 1 2 1 2 2 1 3 1 1 2 3 1 3 3 3 1 3 1 1 2 1 2 1 1 1 1 1 1 3 1 1 1 2
## [2845] 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 2 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1
## [2881] 2 3 1 1 3 1 3 3 1 1 3 3 1 1 3 1 2 1 1 1 1 3 3 1 1 3 1 1 1 1 1 1 3 1 1 1
## [2917] 1 2 2 1 1 1 1 1 1 1 1 1 2 3 1 1 1 3 3 1 1 1 3 3 1 3 3 1 1 1 1 1 2 1 1 1
## [2953] 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 3 3 3 3 1 3 1 3 1 2 1 1 2 1 2 1 1 3 1 1 1
## [2989] 3 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 1
## [3025] 1 1 1 1 1 3 1 3 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2 1 2 1 1 1 3 1 1 1 1 3
## [3061] 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 2 3 3 1 3 1
## [3097] 1 1 1 1 2 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 3 3 1 1 1 1 3 1 1 3 1
## [3133] 1 1 1 1 1 2 2 3 1 2 2 3 1 1 3 1 3 3 1 1 1 3 1 1 3 2 3 1 1 1 3 1 3 1 1 2
## [3169] 1 3 2 3 3 2 1 1 1 1 1 3 1 2 1 1 1 3 1 2 3 1 3 3 1 1 1 3 1 3 1 1 3 1 3 1
## [3205] 1 1 3 3 1 1 1 1 2 3 1 3 1 1 1 3 3 1 1 2 1 2 1 3 3 1 1 2 1 1 1 1 3 1 1 1
## [3241] 3 1 1 1 3 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 2 3 1 3 2 1 3 2 1 1 1
## [3277] 1 3 1 1 3 2 1 1 1 2 1 1 2 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1
## [3313] 1 3 1 1 1 1 1 2 1 3 1 1 1 1 1 1 3 3 2 2 1 1 1 1 3 1 3 1 3 3 1 1 1 1 1 1
## [3349] 3 1 3 2 1 1 1 3 1 1 1 3 1 2 1 1 3 3 1 2 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1
## [3385] 1 1 1 1 1 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3 1 3 1 1 3 3 3 3 1 2 1 1 1 1
## [3421] 3 1 3 1 1 1 1 1 1 3 3 2 1 1 1 3 1 1 2 3 1 3 1 1 1 1 1 1 3 1 1 1 1 3 1 1
## [3457] 1 1 1 1 1 1 2 1 1 2 1 1 3 1 1 1 1 2 3 1 1 1 3 1 1 1 3 1 1 2 1 1 3 1 2 3
## [3493] 1 1 1 1 1 1 1 3 3 1 1 3 1 3 1 1 1 3 3 3 3 1 1 3 1 3 1 1 1 1 2 1 3 1 3 1
## [3529] 1 3 3 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 2 1 1 3 1 1
## [3565] 1 1 2 1 1 1 1 3 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 3 2 1 1
## [3601] 1 1 3 1 3 2 2 1 2 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 2 1 1 1 1
## [3637] 3 2 3 1 1 1 3 1 1 2 1 1 1 2 2 1 1 1 3 1 1 1 1 1 1 1 1 2 1 3 1 3 1 1 2 2
## [3673] 2 1 3 1 1 2 1 1 3 1 1 2 3 1 3 2 1 3 1 3 2 2 1 1 1 3 1 1 1 1 1 3 1 1 1 1
## [3709] 1 1 1 1 3 3 1 1 3 1 1 1 1 2 1 1 3 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 2
## [3745] 3 1 2 1 1 3 3 1 3 1 1 2 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 2 1 1 1 3
## [3781] 1 3 1 2 1 2 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 3 3 3 1 3 1 3 3 1 1 3
## [3817] 2 3 1 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2
## [3853] 3 3 2 1 1 1 1 1 1 1 3 3 1 3 1 1 1 1 2 1 1 1 3 3 3 1 3 1 3 1 3 1 3 1 1 1
## [3889] 3 3 1 2 1 1 1 3 3 3 3 1 1 2 1 1 1 3 1 1 1 2 1 1 3 2 1 1 3 3 1 1 3 1 1 3
## [3925] 1 2 1 1 1 3 1 1 2 1 1 3 3 3 3 1 2 1 1 1 1 1 1 3 2 1 1 1 3 1 2 3 2 1 1 1
## [3961] 1 3 1 1 1 1 3 3 2 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 2 2 1 1 3 1 3 1 2 1 1 1
## [3997] 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2 3 1 1 3 3 1 1 3 1
## [4033] 1 1 1 1 1 1 1 2 1 1 3 1 1 1 1 1 1 3 1 1 3 2 1 1 3 1 1 3 3 3 3 1 1 3 1 1
## [4069] 3 3 3 1 3 1 1 3 1 1 1 2 1 1 1 1 3 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
## [4105] 1 3 1 1 3 3 1 3 3 1 3 3 1 1 1 1 3 1 1 1 1 1 1 1 2 1 3 1 1 1 3 1 2 1 1 1
## [4141] 1 1 2 1 1 1 3 1 1 1 3 1 2 3 1 1 1 3 1 1 1 1 3 2 1 3 1 2 1 1 2 1 3 3 1 1
## [4177] 2 1 2 1 3 3 2 1 3 3 2 1 2 3 1 3 1 3 3 1 1 1 1 3 1 1 1 1 1 1 3 3 1 1 1 1
## [4213] 1 1 1 1 1 1 1 1 3 1 3 1 2 1 3 1 1 1 3 2 1 1 3 1 1 1 1 1 2 1 1 1 1 3 3 3
## [4249] 3 1 1 1 1 3 1 2 1 3 1 3 3 1 1 3 1 1 1 1 3 1 2 1 3 3 1 3 1 1 3 1 1 1 1 1
## [4285] 1 3 1 1 1 1 1 1 1 1 2 3 1 3 2 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1
## [4321] 3 3 1 3 1 1 3 1 2 3 1 3 3 3 1 1 1 1 1 1 1 3 1 2 1 1 3 1 1 2 1 1 3 3 1 1
## [4357] 2 1 3 3 1 1 1 1 1 2 1 1 1 2 1 1 3 1 2 3 2 2 3 1 1 3 1 3 3 1 1 1 3 3 1 1
## [4393] 1 1 1 1 1 3 3 2 1 3 1 2 1 2 1 1 3 2 1 1 1 1 1 1 1 3 1 3 1 1 1 3 3 1 2 1
## [4429] 1 1 3 3 1 3 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1 3 1 1 1 1 1 1 1 2 1 1 1 2 3 2
## [4465] 1 1 3 1 2 3 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 2 3 1 1 3 1 3 3 2 1 1
## [4501] 1 1 1 1 1 3 1 2 1 3 1 3 2 1 1 3 3 1 3 1 1 3 1 1 2 2 1 1 1 1 1 1 3 1 1 1
## [4537] 1 2 1 1 3 1 3 1 3 1 3 1 1 3 1 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1
## [4573] 1 3 3 1 3 1 3 1 3 1 1 1 1 3 1 1 1 1 1 3 1 3 1 1 1 1 3 1 1 3 1 3 1 1 1 2
## [4609] 3 1 1 1 1 3 1 3 3 1 1 2 1 3 3 1 1 2 1 1 1 3 3 1 1 1 1 1 2 3 2 1 2 3 3 1
## [4645] 1 3 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 2 1 3 3 1 1 1 1 1 3 1 1 1 3 1 1 1 3 3
## [4681] 3 3 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 3 1 1 3 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1
## [4717] 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 2 1 2 1 1 1 1 3 1 1 1 1 1 1 3 1 3
## [4753] 1 1 1 1 2 1 3 1 3 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 2 3 1
## [4789] 3 1 1 1 1 3 1 3 1 1 3 2 1 1 3 1 1 1 1 3 1 1 1 2 1 1 1 1 3 2 1 1 3 3 1 1
## [4825] 1 1 1 1 3 1 1 3 3 3 1 1 3 1 2 1 1 3 1 1 3 3 1 2 1 1 3 1 1 1 3 1 1 1 1 1
## [4861] 1 2 2 1 2 1 1 1 1 3 3 3 1 1 3 1 1 1 1 1 3 1 1 2 3 1 1 2 1 3 1 1 3 1 1 1
## [4897] 2 3 1 3 3 3 3 3 3 1 1 1 1 2 1 1 1 2 1 2 1 1 3 2 3 1 3 3 2 1 2 1 3 2 1 1
## [4933] 1 3 1 1 3 3 1 1 1 1 1 1 1 3 1 1 1 3 1 1 3 3 2 1 1 1 1 1 1 1 1 3 1 1 1 3
## [4969] 3 1 1 1 2 1 1 1 1 1 2 1 1 3 1 1 1 3 1 3 1 2 3 2 3 1 3 1 1 1 3 1 1 1 1 1
## [5005] 3 3 3 2 3 3 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 2 3 3 1 3 3 1 1 1 1 1 1 2 3
## [5041] 1 1 1 2 1 3 1 1 1 1 1 3 1 1 1 1 2 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 3
## [5077] 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 3 2 2 1 1 1 1 1 3 1 1 1 1 2 1 2 1 3
## [5113] 1 1 1 3 1 1 2 1 1 1 1 3 1 1 1 3 3 1 3 1 1 2 2 3 1 2 2 3 3 1 1 1 1 3 3 2
## [5149] 1 3 3 1 3 3 1 2 2 1 1 1 1 3 1 2 1 1 1 1 1 1 2 1 1 1 3 2 1 1 3 1 1 1 3 1
## [5185] 1 3 1 1 3 1 3 1 1 1 3 3 1 1 2 2 1 1 1 3 1 1 1 3 3 2 1 1 1 1 1 1 1 3 1 1
## [5221] 1 1 3 1 1 1 1 1 1 2 1 1 1 1 2 1 1 3 1 3 1 1 1 1 3 1 1 1 1 3 1 3 1 1 2 1
## [5257] 2 1 1 1 1 3 1 3 2 1 1 1 1 1 2 2 1 1 1 3 2 1 1 2 1 3 2 1 1 1 2 1 1 3 2 2
## [5293] 2 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 3 1 1 1 2 1 1 1 1
## [5329] 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 2 1 2 1 1 3 1 1 1
## [5365] 1 1 1 1 3 3 1 3 2 1 3 1 1 2 2 2 1 3 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1 1 1
## [5401] 1 3 1 1 1 2 1 2 3 1 3 1 1 3 1 2 1 1 1 3 1 1 3 1 1 3 1 1 1 2 2 1 2 3 3 1
## [5437] 1 1 1 1 3 1 1 3 1 1 3 3 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 1 2 3 3 1 1 1
## [5473] 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 3 1 1 3 2 1 1 2 1 1 1
## [5509] 3 3 1 3 1 3 1 1 1 3 1 3 3 1 1 3 1 1 3 3 1 1 3 1 3 1 1 3 3 1 1 1 1 1 1 1
## [5545] 1 3 3 1 1 1 3 1 1 1 3 3 3 2 1 1 1 3 1 3 1 3 1 1 2 3 1 3 1 1 1 3 1 1 1 1
## [5581] 1 1 1 3 1 3 1 1 1 1 1 1 1 1 2 1 3 3 1 1 3 2 1 1 3 1 1 1 3 1 1 1 1 1 1 1
## [5617] 1 3 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 1 3 1 3 3 3 1 1 1 3 3 3 1 1 1 1 3 1
## [5653] 1 1 1 1 1 2 3 1 1 1 1 1 1 3 1 3 1 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1
## [5689] 1 3 3 1 1 1 2 1 1 3 1 1 1 1 1 3 1 1 1 3 3 3 3 3 3 1 1 1 3 1 1 3 1 1 1 1
## [5725] 1 2 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 3 1 1 3 1 1 3 3 3 3 3 3
## [5761] 3 1 3 1 1 1 1 1 1 3 1 1 3 3 1 1 3 1 1 1 3 1 3 1 1 1 1 3 3 1 1 1 1 1 1 1
## [5797] 1 1 1 1 2 1 1 1 1 3 3 3 1 3 1 1 3 3 1 3 1 3 3 1 1 3 1 1 1 1 2 3 3 3 1 1
## [5833] 1 3 1 1 3 1 1 1 1 1 1 1 3 3 2 1 1 2 1 1 1 1 1 1 1 1 1 2 1 3 1 1 3 1 1 1
## [5869] 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3 2 3 2 1 1 1 3 3 1 3 1 3 2 1 1 1 3 1 3 3
## [5905] 2 1 1 2 3 3 1 1 1 1 3 1 3 3 3 1 1 1 3 1 2 1 3 1 1 1 1 1 1 2 3 1 1 3 1 3
## [5941] 1 1 3 1 1 1 1 1 3 2 1 3 1 1 1 2 3 1 1 1 1 1 3 1 1 3 3 1 1 3 3 3 3 1 1 1
## [5977] 1 2 3 2 1 3 1 3 1 1 1 1 1 1 3 1 1 3 1 1 3 2 3 1 1 1 3 1 1 3 3 3 1 3 3 3
## [6013] 1 1 3 1 1 1 1 1 3 1 3 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1
## [6049] 1 2 3 3 1 3 1 1 1 1 1 3 3 3 1 1 2 1 3 3 1 3 2 3 3 1 3 2 3 1 3 1 3 1 3 1
## [6085] 1 1 3 1 2 3 1 1 3 1 1 1 3 1 3 1 1 1 3 3 3 3 1 1 1 1 3 1 1 1 1 1 3 3 1 3
## [6121] 1 1 1 1 1 3 1 3 1 1 2 1 1 3 1 1 3 1 1 1 1 1 1 1 3 3 3 2 1 1 1 3 3 1 2 1
## [6157] 1 3 1 3 1 3 3 1 1 3 1 3 1 3 3 2 1 1 1 1 1 1 3 1 3 1 1 1 1 1 3 3 1 2 3 3
## [6193] 1 1 3 1 1 3 1 3 3 3 1 1 3 3 3 1 3 1 1 1 1 3 3 1 1 1 1 1 3 3 3 3 1 1 1 1
## [6229] 1 3 1 1 2 2 3 3 1 1 3 1 3 3 3 1 1 1 1 3 3 1 1 1 1 3 1 1 1 1 1 1 2 3 1 1
## [6265] 1 1 3 1 2 1 3 3 1 3 1 1 1 1 3 1 1 1 1 1 3 1 1 1 3 1 1 2 1 3 1 1 3 3 3 1
## [6301] 1 3 1 3 3 1 3 1 1 1 3 3 1 1 1 2 1 1 3 3 1 2 3 1 3 3 3 1 3 1 3 1 3 1 1 3
## [6337] 1 3 1 1 1 1 2 1 1 1 1 3 1 1 3 1 1 1 3 3 1 1 3 1 3 1 3 1 1 1 1 3 1 2 1 3
## [6373] 1 1 1 2 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 3 1
## [6409] 1 1 1 3 1 3 1 1 1 2 3 1 1 3 3 3 1 3 1 1 1 3 1 1 1 2 1 3 1 1 1 1 1 1 1 3
## [6445] 3 1 1 1 3 1 3 1 3 1 3 1 3 3 1 1 2 1 3 1 1 2 1 3 1 1 1 1 1 3 3 2 3 3 1 1
## [6481] 1 1 3 1 1 1 1 3 3 1 3 1 1 1 3 1 1 1 1 1 3 1 3 1 1 1 1 2 1 1 1 3 1 3 1 1
## [6517] 2 1 3 3 1 3 1 1 1 1 1 1 1 1 1 3 1 1 3 1 3 1 2 1 1 1 3 3 1 3 1 3 3 3 3 1
## [6553] 1 1 3 1 1 3 1 3 1 1 3 1 1 1 3 1 3 1 1 3 1 1 3 1 1 2 1 1 1 1 1 3 3 3 1 1
## [6589] 1 1 3 3 3 3 1 1 3 1 3 1 1 3 3 3 1 1 1 3 1 1 1 2 1 3 1 1 3 1 1 3 1 1 1 1
## [6625] 1 3 1 3 1 1 2 1 1 3 1 1 1 1 3 1 3 3 1 2 3 3 1 3 1 3 3 1 1 1 3 2 1 1 1 1
## [6661] 1 3 1 1 1 1 3 1 1 2 1 3 1 1 3 1 1 1 1 1 3 1 1 1 3 3 1 3 1 3 2 3 1 3 1 1
## [6697] 1 1 1 1 2 1 2 1 1 1 3 3 3 1 3 3 1 3 1 3 2 1 2 3 1 1 1 1 3 1 3 3 3 3 1 1
## [6733] 1 3 1 1 1 1 1 1 1 3 3 2 3 1 1 1 3 1 1 3 3 3 1 2 3 3 2 1 1 1 3 1 3 3 1 1
## [6769] 1 1 3 3 3 1 1 1 3 3 3 3 3 3 1 1 2 1 3 3 1 3 1 3 1 3 1 2 1 3 1 3 1 2 3 3
## [6805] 1 1 1 1 1 3 2 3 3 2 1 1 3 3 1 3 3 1 1 1 3 1 1 2 1 1 2 3 1 3 3 1 3 1 3 1
## [6841] 1 1 3 1 1 1 1 1 3 3 1 1 3 1 1 3 2 1 3 1 3 1 3 3 1 1 1 1 3 3 3 3 1 3 1 1
## [6877] 3 3 1 1 1 1 3 3 1 3 3 1 1 1 1 3 3 3 1 1 1 3 3 1 3 1 1 1 1 3 3 1 1 1 3 3
## [6913] 1 1 3 1 1 1 3 1 1 3 1 2 1 1 1 1 1 2 3 1 1 3 3 1 3 1 1 3 1 3 3 1 1 1 1 1
## [6949] 3 3 3 1 1 1 1 3 3 3 3 3 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1
## [6985] 1 1 1 1 1 3 1 1 3 1 2 1 1 3 3 1 1 1 1 1 1 2 1 3 1 3 1 3 1 3 1 1 1 1 3 1
## [7021] 3 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 3 1 3 3 1 1 1 2 1 3 1 1 1 1 1 1 1 3 1 3
## [7057] 1 3 1 3 1 3 1 3 3 3 1 1 1 3 1 2 1 3 1 1 1 1 1 3 3 1 3 1 1 1 3 3 1 3 3 3
## [7093] 3 1 3 1 3 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 3 3 1 1 3 1 1 3 3 1 1 1 1 1
## [7129] 3 3 3 1 1 1 3 3 3 1 1 1 3 2 3 3 3 3 3 3 1 3 1 2 1 1 3 1 1 1 3 1 3 2 1 1
## [7165] 3 1 1 3 3 3 1 1 1 1 3 1 3 3 1 3 1 3 3 1 1 2 3 1 1 1 1 1 3 1 3 1 1 3 3 1
## [7201] 1 1 1 3 1 1 3 1 1 1 2 1 2 1 1 1 1 1 1 3 1 1 1 1 3 3 3 3 1 3 1 1 1 3 1 3
## [7237] 3 1 1 1 3 1 1 3 1 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 2 2 3 3 1 3 1
## [7273] 3 1 1 2 2 1 1 1 3 1 3 3 3 2 3 1 2 1 3 1 3 3 3 1 1 1 1 1 1 3 1 3 3 1 1 3
## [7309] 1 3 1 1 1 1 3 3 1 1 2 3 3 3 1 3 1 1 3 1 1 1 1 3 1 1 3 3 1 1 1 1 3 3 1 3
## [7345] 2 1 1 1 1 3 3 1 1 3 1 1 1 1 3 1 2 1 3 3 1 1 3 1 1 1 3 3 1 3 1 1 1 3 1 1
## [7381] 1 1 3 1 3 1 3 3 3 3 1 3 3 1 1 1 1 3 3 1 3 1 3 1 1 1 1 1 3 2 3 3 1 3 3 1
## [7417] 3 3 1 3 1 3 1 3 3 3 1 1 1 2 1 3 3 1 1 2 1 1 1 1 1 3 1 3 2 1 1 1 1 3 1 1
## [7453] 1 1 1 1 1 3 1 1 1 1 1 2 1 1 1 3 1 3 1 1 3 3 1 1 2 1 3 1 3 2 1 1 3 1 3 1
## [7489] 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1 1 3 1 1 1 3 3 1 1 1 1 1 3 1 1 1 1 1 1 1 3
## [7525] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 3 1 1 1 1 1 1 3 3 1 3 3 2 1 3 1 1 3
## [7561] 1 1 1 3 1 1 3 2 1 1 1 1 3 3 3 3 3 3 1 3 1 3 1 3 3 1 1 1 1 3 1 1 1 1 1 1
## [7597] 1 1 1 1 2 2 2 1 1 1 3 3 1 1 1 3 3 1 1 3 3 3 1 3 1 1 1 3 1 3 3 1 3 1 1 3
## [7633] 3 1 1 2 1 3 1 1 1 1 2 3 1 1 3 3 1 3 3 1 1 1 3 3 1 1 1 1 1 3 3 3 1 1 1 2
## [7669] 1 3 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 2 1 1 1 3 1 1 3 1 1 1 1 1 3 1 1 3 1 3
## [7705] 2 1 3 1 3 1 1 1 1 1 3 1 2 1 3 3 1 1 1 1 1 1 1 3 3 1 1 3 1 2 1 1 3 1 3 3
## [7741] 1 1 1 3 1 2 3 1 3 3 3 1 1 1 1 1 1 3 3 1 1 2 3 3 1 1 1 3 3 3 3 2 1 3 3 1
## [7777] 1 1 1 1 3 1 3 1 1 1 1 1 3 3 1 3 1 1 1 1 3 1 3 1 1 3 3 3 3 1 1 3 3 3 1 1
## [7813] 3 1 1 1 2 1 3 3 1 1 1 2 3 1 2 2 3 3 3 1 3 1 1 1 1 2 1 1 3 1 1 3 1 1 3 2
## [7849] 1 1 3 1 3 1 1 1 3 3 1 3 1 3 1 2 3 2 1 1 1 1 1 3 1 1 3 1 3 1 3 2 1 1 1 1
## [7885] 3 2 2 1 1 2 3 1 3 3 3 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 1 1 1
## [7921] 1 2 1 1 3 3 1 3 2 1 3 1 1 1 1 1 1 3 3 1 3 3 3 2 3 1 3 1 1 1 1 1 1 3 1 1
## [7957] 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 3 3 1 1 2 1 1 1 1 1 1 1 1 3
## [7993] 1 1 3 1 1 2 3 3 1 2 1 1 1 1 3 1 1 3 1 2 1 1 1 1 1 3 1 1 1 2 1 1 1 1 3 1
## [8029] 3 1 1 1 1 3 1 1 3 1 1 1 3 3 1 1 3 1 1 1 2 1 3 3 2 3 3 1 3 1 1 1 1 1 1 1
## [8065] 2 1 3 2 1 2 1 3 1 1 2 1 3 1 1 2 1 3 1 1 1 1 1 1 3 1 1 1 3 3 3 3 1 1 1 1
## [8101] 1 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 3 3 1 3 3 1 3 1 1 3 1 1 1 1 1 3 1 2 1 1
## [8137] 1 3 1 1 1 1 1 1 1 3 1 2 3 1 1 1 1 1 1 1 1 3 1 1 1 1 2 1 1 1 2 1 1 1 1 1
## [8173] 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 2 3 1 1 1 3 2 1 3 1 3 1 1 1 3 1 1 3 1
## [8209] 1 1 1 1 3 1 1 1 3 1 1 1 1 2 1 1 2 3 3 2 3 3 3 1 1 3 3 3 1 1 3 1 3 1 2 1
## [8245] 1 3 1 2 3 2 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 3 3 3
## [8281] 1 3 3 1 3 1 1 3 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 3 1 1 3 2 3 1 1 1 3 1 1 2
## [8317] 2 1 2 1 1 1 1 1 1 1 1 3 1 1 3 1 3 1 1 1 1 3 3 1 1 3 1 3 3 3 3 1 1 3 1 1
## [8353] 1 1 1 3 1 1 1 1 1 3 1 1 1 1 3 2 3 1 1 3 1 1 1 3 1 3 1 3 1 3 3 3 1 1 1 1
## [8389] 1 3 3 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3 1 1 3 3 3 3 1 1 1 1 3
## [8425] 3 1 1 1 1 1 2 1 1 3 2 3 3 1 3 1 1 1 1 1 1 1 3 1 1 1 1 3 3 3 3 1 1 1 3 1
## [8461] 1 2 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 2 3 3 3 1 1 1 2 1 1 1 1
## [8497] 3 3 1 3 1 1 1 1 1 3 1 1 1 1 3 3 2 1 3 3 1 3 1 3 1 3 1 3 1 1 1 3 1 1 1 2
## [8533] 1 3 1 3 2 1 1 1 1 2 3 3 2 1 1 3 3 2 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1
## [8569] 1 1 3 1 1 1 3 1 1 1 1 3 1 1 3 1 3 3 3 3 3 1 1 1 1 3 3 1 3 1 1 1 3 1 3 1
## [8605] 1 1 1 1 3 3 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 3 3 1 3 3 3 3 2 1 1 1
## [8641] 1 2 1 2 1 3 1 1 3 1 2 2 3 1 2 3 2 1 3 1 3 2 3 1 3 1 3 1 2 1 3 1 3 3 1 1
## [8677] 1 3 3 1 1 3 1 3 2 3 1 3 3 1 1 3 1 2 3 1 1 3 1 1 2 3 1 1 3 1 1 3 1 1 1 1
## [8713] 1 1 1 1 1 1 1 3 1 1 1 3 1 3 3 1 1 1 1 1 2 3 3 1 1 3 3 3 1 1 2 3 2 1 1 3
## [8749] 1 1 1 1 2 2 1 1 3 1 3 2 1 3 1 3 3 1 2 2 3 3 3 1 1 1 1 1 1 1 3 1 1 1 1 1
## [8785] 3 3 1 3 1 1 2 3 3 1 3 1 2 1 3 3 1 2 1 3 1 1 1 1 3 1 1 1 1 1 3 1 3 1 3 1
## [8821] 3 1 1 1 3 3 3 1 2 1 3 3 1 3 3 1 3 1 1 1 3 1 3 1 1 1 3 1 2 1 3 1 1 1 1 3
## [8857] 1 1 3 1 3 1 1 1 1 2 3 1 2 3 3 1 3 2 3 1 1 3 3 3 1 2 2 3 1 3 1 1 1 1 1 1
## [8893] 1 1 3 3 1 1 1 3 3 3 1 2 1 1 3 3 1 1 1 1 2 1 2 1 1 3 1 3 1 3 1 1 1 3 1 3
## [8929] 1 3 1 1 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1 3 1 1 1 3 3 1 1 1 1 3 1 1 1 1 1 1
## [8965] 1 3 1 2 1 3 1 2 3 1 1 3 3 3 2 2 1 1 1 1 1 3 1 1 1 3 1 1 2 3 1 1 3 3 1 3
## [9001] 2 1 2 3 1 3 1 2 1 1 1 3 1 1 1 3 3 3 3 3 1 1 3 1 1 1 1 3 3 1 1 3 1 1 1 3
## [9037] 1 1 1 1 3 3 1 3 3 3 2 1 1 2 3 1 3 1 3 2 1 3 3 3 2 1 1 1 1 1 1 3 1 3 3 1
## [9073] 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 1 3 1
## [9109] 1 1 3 1 1 3 3 3 1 1 1 1 1 1 3 1 3 3 1 1 3 2 3 1 1 1 1 3 1 1 1 1 1 1 3 1
## [9145] 1 1 1 3 1 1 3 3 1 3 3 1 3 1 1 1 3 1 1 3 3 1 1 2 3 1 1 1 1 1 1 1 1 3 1 3
## [9181] 2 3 3 1 1 1 1 2 1 1 1 1 1 1 1 3 3 3 1 3 1 1 3 1 3 1 1 1 3 1 3 1 1 3 3 1
## [9217] 3 1 3 1 1 1 2 3 3 1 1 1 1 1 1 1 1 3 1 3 1 3 3 3 1 1 3 1 1 1 1 2 3 3 3 1
## [9253] 3 3 3 3 1 1 3 1 1 1 1 3 1 1 3 1 3 1 1 3 1 1 1 1 2 3 3 3 3 1 1 3 1 1 1 1
## [9289] 1 1 1 3 1 3 1 2 1 3 3 1 3 3 1 1 1 1 2 3 1 1 1 3 1 1 3 1 1 3 1 1 2 1 3 1
## [9325] 3 1 1 1 1 1 3 1 3 3 3 3 3 1 1 1 3 1 2 1 3 2 3 3 3 1 1 3 1 3 1 3 1 1 1 1
## [9361] 1 1 1 1 1 2 3 1 3 1 1 3 3 1 3 1 1 1 3 1 1 1 3 3 2 1 3 3 1 3 1 1 1 1 3 1
## [9397] 1 1 3 3 3 1 3 1 2 1 2 1 1 1 1 1 3 1 1 3 2 1 1 3 1 3 1 1 3 1 1 1 1 1 1 1
## [9433] 1 1 1 2 1 1 1 1 1 3 1 1 1 1 1 2 3 1 1 1 3 1 1 3 1 3 3 2 3 1 1 1 2 3 3 3
## [9469] 1 1 1 1 1 2 1 3 3 1 1 1 1 3 2 3 3 1 3 3 3 1 3 3 1 1 2 1 1 1 1 3 1 1 1 3
## [9505] 2 1 1 3 1 3 1 1 1 1 1 1 1 1 3 2 1 1 1 1 3 1 1 3 1 1 3 1 3 1 1 1 3 3 1 3
## [9541] 3 3 1 3 1 3 2 2 3 1 1 2 2 1 1 1 1 2 3 3 1 2 3 3 3 1 1 1 2 2 1 3 3 3 1 1
## [9577] 3 2 3 2 1 2 3 1 3 3 1 1 1 1 1 1 3 3 3 3 3 3 3 1 2 3 1 3 1 1 1 3 1 1 1 1
## [9613] 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 3 1 3 1 1 1 3 1 1 1 3 1 1 3 1
## [9649] 1 3 1 3 3 3 3 1 3 1 1 1 1 1 3 1 3 1 2 1 1 3 3 1 1 2 3 1 1 1 1 1 1 1 3 3
## [9685] 1 1 1 2 3 3 3 1 1 1 2 3 1 1 1 1 1 1 1 1 3 3 1 3 1 3 1 2 3 3 3 2 3 1 2 3
## [9721] 3 1 1 3 1 1 1 3 1 1 3 3 3 3 1 1 3 3 1 3 1 1 3 1 1 1 3 1 3 1 3 1 1 1 1 3
## [9757] 1 1 1 3 1 1 1 1 3 1 1 1 1 2 1 3 1 3 1 1 2 1 1 1 3 2 1 1 3 1 1 1 3 1 3 1
## [9793] 1 3 1 1 1 1 1 1 1 1 3 3 1 2 3 3 3 1 3 3 1 1 1 1 3 1 3 2 3 1 1 1 1 1 1 1
## [9829] 2 3 2 3 1 3 2 1 1 3 3 1 1 2 3 1 1 3 1 1 3 3 1 3 1 1 1 3 1 3 1 3 3 2 1 1
## [9865] 2 1 1 1 1 3 1 1 3 3 1 3 1 1 2 1 3 3 1 3 1 1 1 3 1 1 1 1 1 1 3 1 2 1 1 1
## [9901] 1 3 3 1 3 1 1 2 1 1 1 3 1 3 3 3 1 1 3 3 3 1 3 1 1 1 1 1 2 1 3 1 1 3 1 3
## [9937] 2 2 1 3 1 1 1 2 2 1 1 1 2 2 1 3 3 1 1 1 3 1 3 3 1 1 3 3 1 1 3 1 1 3 2 3
## [9973] 1 1 1 3 3 3 3 1 2 3 3 1 1 1 1 1 1 1 1 1 3 2 1 1 1 1 3 3 3 1 1 3 1 1 2 1
## [10009] 1 2 1 1 3 3 3 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 3 1 3 3 3 3 2 1 1 3 1 3 1
## [10045] 3 1 3 1 3 1 1 1 1 3 1 1 1 1 3 1 2 2 1 3 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 3
## [10081] 1 1 3 1 1 1 2 3 1 3 1 1 1 2 1 1 1 3 1 1 1 3 3 1 1 3 3 1 1 1 3 1 1 3 3 2
## [10117] 1 3 1 3 1 1 1 1 1 1 1 1 1 3 3 3 1 3 3 3 1 3 1 3 1 1 1 1 3 1 2 1 1 1 1 1
## [10153] 1 3 1 1 1 1 3 3 3 1 1 3 3 2 2 1 3 1 3 1 3 1 1 1 3 3 1 3 3 1 1 1 3 1 3 1
## [10189] 1 3 1 1 2 1 3 3 1 3 3 1 1 1 3 3 1 3 3 1 3 1 1 1 3 1 1 1 1 1 1 1 1 3 2 1
## [10225] 1 3 1 1 3 1 1 2 1 1 1 3 1 1 3 2 1 3 1 1 3 3 1 3 1 1 2 3 1 1 3 1 3 1 1 3
## [10261] 1 2 1 3 1 1 3 1 1 2 1 1 1 1 3 2 1 1 1 3 3 1 2 2 3 1 1 1 3 3 1 1 1 1 3 1
## [10297] 3 3 3 1 1 3 3 3 3 1 1 1 1 1 1 1 3 3 1 1 1 1 3 3 1 1 1 3 3 1 1 3 1 3 1 1
## [10333] 1 3 3 1 1 2 1 3 3 2 1 1 1 1 1 1 3 1 3 3 3 1 1 1 1 3 1 1 3 3 3 3 3 3 1 3
## [10369] 1 1 1 1 3 1 1 2 1 3 1 1 1 3 1 3 3 3 1 3 1 1 1 1 3 1 1 1 1 1 1 3 1 3 3 1
## [10405] 1 3 3 1 1 3 1 1 3 1 3 3 1 1 1 3 3 1 1 1 3 1 1 1 1 1 3 3 1 1 1 3 1 1 3 1
## [10441] 3 1 1 1 1 1 1 1 1 3 1 3 1 1 3 3 3 1 1 3 1 1 1 3 1 3 1 2 1 3 1 1 3 2 1 1
## [10477] 2 1 1 1 1 3 1 1 1 3 1 1 1 1 1 3 3 1 1 3 1 1 1 3 1 2 1 1 1 3 2 3 2 3 3 1
## [10513] 1 1 1 3 1 3 1 1 1 3 3 1 1 3 1 1 1 1 3 2 1 1 2 1 1 1 3 1 3 1 3 1 1 1 1 3
## [10549] 3 1 1 1 3 1 1 1 3 1 3 1 1 1 1 1 1 1 1 3 1 2 1 3 2 1 1 1 3 2 1 1 2 1 1 1
## [10585] 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 1 2 3 1 1 1 1 3 3 1 1 1 3 1 1 1
## [10621] 3 3 1 3 1 1 1 1 3 1 1 2 1 2 1 3 1 1 3 1 3 3 1 3 3 1 1 1 3 1 1 1 1 2 3 1
## [10657] 1 3 1 1 1 1 1 3 3 3 1 1 3 1 1 1 3 3 3 2 1 1 3 3 1 2 3 3 1 1 1 1 1 3 1 2
## [10693] 3 2 1 2 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 3 1 3 3 1 3 1 1 3 1 3 1 1 1 1 1
## [10729] 1 1 1 3 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 3 3 3 1 1 1 3 1 3 1 3 2
## [10765] 3 1 1 1 1 1 1 1 3 1 3 3 1 3 3 1 3 2 1 2 1 2 1 3 1 2 1 1 2 1 2 2 1 1 1 1
## [10801] 1 3 3 3 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 3 1 1 3 1 1 1 2 1 3 3 3
## [10837] 1 1 3 1 1 2 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 3 3 1 1 1 1 2 3 1 1
## [10873] 1 3 1 3 1 3 1 1 1 3 3 1 1 3 1 3 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 2 3 1 1 1
## [10909] 3 3 1 1 3 1 1 1 3 2 1 3 1 1 1 2 3 1 1 3 1 1 3 1 1 1 3 3 1 3 3 1 2 3 1 1
## [10945] 1 1 1 1 3 1 1 2 1 2 3 3 3 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 3 3 1 1 1 3 3 1
## [10981] 1 2 3 1 1 3 1 3 2 1 1 1 3 1 1 3 1 1 1 3 1 3 1 1 3 1 1 1 1 1 1 1 1 3 1 1
## [11017] 1 1 1 1 2 1 2 1 3 3 3 1 1 3 1 1 1 3 3 1 1 1 3 2 1 1 1 2 1 1 1 2 1 1 1 1
## [11053] 1 1 1 3 3 1 3 1 1 1 1 2 1 3 1 3 3 3 1 3 1 1 1 1 1 1 1 2 2 1 2 1 1 3 1 3
## [11089] 1 3 1 1 1 3 3 1 3 1 1 3 1 1 1 3 3 3 1 1 3 1 2 1 1 3 1 1 3 1 3 3 3 2 3 1
## [11125] 3 1 1 3 3 1 3 1 1 1 1 1 2 3 1 2 2 1 2 1 1 1 1 2 3 1 1 3 3 1 2 1 1 1 1 1
## [11161] 1 3 1 1 3 3 2 2 3 3 1 3 3 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 3 3 1 3
## [11197] 1 1 1 3 3 3 1 1 3 2 3 3 1 1 1 1 1 1 3 3 3 1 3 3 1 1 2 1 1 1 3 3 3 1 2 1
## [11233] 3 1 1 1 1 3 3 1 2 1 3 1 1 1 1 1 1 3 3 1 3 1 3 3 3 3 3 1 1 1 1 1 3 2 3 1
## [11269] 1 3 3 1 1 1 3 1 3 3 3 1 3 1 1 1 3 1 2 1 1 3 1 1 1 3 1 3 2 1 1 3 3 3 1 1
## [11305] 1 1 1 1 3 1 1 3 3 3 3 3 3 1 1 3 1 3 1 1 1 1 1 1 1 2 1 1 1 1 3 3 1 1 1 1
## [11341] 1 1 3 3 3 1 3 3 1 3 1 3 1 1 1 1 3 1 3 1 1 1 1 1 3 1 1 3 1 1 1 3 1 3 1 3
## [11377] 1 1 2 1 1 1 3 1 1 3 1 1 1 1 1 1 3 1 3 1 2 1 1 3 3 1 2 1 2 1 3 3 3 1 1 3
## [11413] 1 1 1 3 1 3 1 2 1 1 1 1 1 3 3 1 1 1 1 1 3 1 3 3 3 1 2 3 1 1 3 1 1 1 3 3
## [11449] 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 2 1 1 1 3 1 3 3 3 1 1 1 3 3 1 3 1 3 1 1
## [11485] 3 1 1 1 1 1 1 1 1 1 1 3 1 3 1 3 1 3 1 1 3 1 2 1 1 3 2 3 3 3 1 3 1 3 3 3
## [11521] 1 1 1 2 1 1 3 1 1 1 3 1 1 3 1 3 1 3 3 1 2 3 3 1 1 3 1 1 3 3 1 3 1 1 3 3
## [11557] 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 3 3 3 1 1 2 3 2 2 3 1 1 3 3 1 1 1 1 3
## [11593] 1 3 3 1 3 3 3 1 3 3 3 3 1 1 1 1 1 1 1 3 1 3 1 1 1 2 1 3 1 2 1 1 2 3 1 1
## [11629] 1 3 1 3 1 3 1 1 1 1 1 3 3 1 3 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 2 1 1 1 1 1
## [11665] 3 1 1 1 1 3 1 1 2 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 3 3 3 1 2 2 1
## [11701] 1 3 3 1 1 1 2 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 1 2 1 3
## [11737] 3 3 3 1 3 1 1 3 1 1 1 2 1 2 3 1 1 3 1 3 1 1 1 1 1 1 1 2 3 1 1 1 1 3 1 1
## [11773] 1 3 1 2 3 1 3 3 1 1 1 1 1 1 1 3 1 1 2 1 1 3 3 3 1 3 1 3 1 2 1 1 3 1 3 1
## [11809] 1 1 1 1 1 2 1 1 3 1 1 1 1 2 3 1 1 3 3 2 3 3 3 1 1 3 3 1 2 1 1 3 1 1 1 1
## [11845] 1 3 1 3 1 1 3 3 3 3 3 3 1 3 3 1 1 3 3 3 2 2 3 1 3 3 1 3 1 1 1 1 1 3 1 1
## [11881] 1 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1 3 3 1 1 1 3 1 1 3 3 3 3 1 1 1 1 3 1 3 1
## [11917] 3 3 2 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 2 1 3 3 2 2 1 1 1 1 1 1 1 1 3 3 2 1
## [11953] 1 1 1 1 1 1 1 1 1 3 1 2 3 3 1 1 1 2 1 1 1 1 1 1 1 3 3 1 1 1 1 3 1 1 3 1
## [11989] 3 2 1 3 3 2 3 1 1 1 2 3 1 3 1 1 1 3 1 1 1 3 1 1 2 3 1 1 1 3 1 3 1 1 1 3
## [12025] 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 1 3 1 1 3 1 1 3 1 1 1 3 3 1 1 2 1 1 1
## [12061] 1 2 1 2 1 3 1 3 1 3 1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 1 1 1 1 3 2 1 1 3 3 3
## [12097] 3 1 3 1 1 1 3 3 1 1 3 1 3 3 1 3 1 3 3 3 2 3 1 1 3 1 3 1 1 1 1 1 3 3 3 3
## [12133] 1 3 1 1 1 1 1 3 1 3 1 3 1 3 1 3 3 1 1 1 3 1 1 1 1 1 3 2 1 3 2 3 1 3 1 3
## [12169] 3 3 3 3 3 1 2 2 3 1 3 3 2 1 3 1 3 2 1 1 3 3 3 3 3 1 3 3 1 2 1 1 2 1 1 1
## [12205] 3 1 1 3 1 3 1 3 1 1 1 1 3 1 1 1 2 3 1 3 1 1 1 3 1 1 3 1 1 3 1 3 3 3 1 1
## [12241] 1 1 3 1 3 1 1 3 1 1 3 1 1 1 1 3 1 1 3 1 3 3 1 1 1 3 3 1 3 3 3 3 3 3 1 1
## [12277] 3 1 3 1 1 1 3 1 1 3 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 1 1 1 3
## [12313] 3 3 1 1 1 3 1 1 1 2 3 1 1 3 1 1 1 1fviz_cluster(list(data = data_scaled, cluster = fuzzy_result$cluster))
Evaluasi
# SILHOUETTE K-MEANS
sil_kmeans <- silhouette(kmeans_result$cluster, dist(data_scaled))
mean(sil_kmeans[, 3])## [1] 0.5048775# SILHOUETTE HIERARCHICAL
sil_hc <- silhouette(hc_cluster, dist(data_scaled))
mean(sil_hc[, 3])## [1] 0.3152517# SILHOUETTE DBSCAN
dbscan_cluster <- dbscan_result$cluster
data_dbscan <- data_scaled[dbscan_cluster != 0, ]
cluster_dbscan <- dbscan_cluster[dbscan_cluster != 0]
sil_dbscan <- silhouette(cluster_dbscan, dist(data_dbscan))
mean(sil_dbscan[, 3])## [1] 0.6008589# SILHOUETTE FUZZY C-MEANS
sil_fuzzy <- silhouette(fuzzy_result$cluster, dist(data_scaled))
mean(sil_fuzzy[, 3])## [1] 0.4208797hasil <- data.frame(
Metode = c("K-Means", "Hierarchical", "DBSCAN", "Fuzzy C-Means"),
Silhouette = c(
mean(sil_kmeans[, 3]),
mean(sil_hc[, 3]),
mean(sil_dbscan[, 3]),
mean(sil_fuzzy[, 3])
)
)
hasil## Metode Silhouette
## 1 K-Means 0.5048775
## 2 Hierarchical 0.3152517
## 3 DBSCAN 0.6008589
## 4 Fuzzy C-Means 0.4208797barplot(hasil$Silhouette,
names.arg = hasil$Metode,
col = "skyblue",
main = "Perbandingan Silhouette Score",
ylab = "Nilai Silhouette")
Berdasarkan hasil evaluasi menggunakan Silhouette Score, masing-masing metode menghasilkan nilai yang berbeda. Metode K-Means memperoleh nilai sebesar 0,5048775 yang menunjukkan kualitas clustering cukup baik. Metode Hierarchical Clustering menghasilkan nilai sebesar 0,3152517 yang tergolong sedang dan menunjukkan adanya overlap antar cluster. Metode Fuzzy C-Means memperoleh nilai sebesar 0,4208226 yang masih cukup baik, namun belum seoptimal K-Means. Sementara itu, metode DBSCAN menghasilkan nilai tertinggi yaitu sebesar 0,6008589, yang menunjukkan bahwa kualitas cluster yang terbentuk paling baik dibandingkan metode lainnya.
Visualisasi Clustering
Visualisasi clustering dibuat untuk memvisualisasikan hasil clustering. Visualisasi menampilkan hasil dari berbagai metode clustering, sehingga memudahkan dalam membandingkan pola cluster yang terbentuk.
p1 <- fviz_cluster(kmeans_result, data = data_scaled, main = "K-Means")
p2 <- fviz_cluster(list(data = data_scaled, cluster = hc_cluster), main = "Hierarchical")
p3 <- fviz_cluster(dbscan_result, data = data_scaled, main = "DBSCAN")
p4 <- fviz_cluster(list(data = data_scaled, cluster = fuzzy_result$cluster), main = "Fuzzy C-Means")
grid.arrange(p1, p2, p3, p4, ncol = 2)
Berdasarkan hasil visualisasi clustering, terlihat bahwa masing-masing metode menghasilkan pola pengelompokan yang berbeda.
Pada metode K-Means, data terbagi menjadi tiga cluster dengan pola yang relatif jelas. Terlihat bahwa satu cluster mendominasi area dengan nilai dimensi tinggi (kanan atas), yang menunjukkan kelompok pengguna dengan aktivitas tinggi, seperti sering melihat produk dan memiliki nilai PageValues yang besar. Sementara itu, dua cluster lainnya berada di area kiri dengan nilai lebih rendah, yang mengindikasikan pengguna dengan aktivitas sedang hingga rendah. Pola ini menunjukkan bahwa K-Means cukup baik dalam memisahkan data berdasarkan intensitas aktivitas pengguna, meskipun bentuk cluster cenderung mengikuti pola linier data.
Pada Hierarchical Clustering, hasil yang diperoleh secara umum mirip dengan K-Means, namun terlihat bahwa batas antar cluster tidak sejelas K-Means. Beberapa data masih tampak “menyatu” antar kelompok, sehingga pemisahannya kurang tegas. Hal ini menunjukkan bahwa meskipun hierarchical mampu menangkap struktur data, hasilnya masih kurang optimal dalam membedakan kelompok pengguna secara jelas.
Berbeda dengan itu, metode DBSCAN menghasilkan pola yang cukup mencolok. Cluster yang terbentuk tidak mengikuti bentuk tertentu (tidak bulat atau linier), melainkan mengikuti kepadatan data. Terlihat bahwa terdapat beberapa kelompok kecil yang padat, serta sejumlah titik berwarna hitam yang dikategorikan sebagai noise. Titik-titik ini merupakan data yang tidak memiliki cukup tetangga di sekitarnya, sehingga dianggap sebagai perilaku yang tidak umum. Justru di sini keunggulan DBSCAN terlihat, karena mampu memisahkan data “normal” dan “tidak normal” secara lebih realistis dibanding metode lain.
Pada metode Fuzzy C-Means, hasil clustering terlihat lebih “halus” dibanding K-Means. Hal ini karena setiap data sebenarnya memiliki derajat keanggotaan pada lebih dari satu cluster, meskipun pada visualisasi tetap ditampilkan dalam satu cluster dominan. Dari grafik terlihat bahwa pola pembagian mirip dengan K-Means, namun transisi antar cluster terasa lebih gradual dan tidak terlalu kaku.
Jika dikaitkan dengan hasil evaluasi sebelumnya, metode DBSCAN memiliki nilai silhouette tertinggi, yang menunjukkan kualitas cluster terbaik. Hal ini juga didukung oleh visualisasi, dimana DBSCAN mampu membentuk cluster yang lebih sesuai dengan distribusi data sebenarnya serta mengidentifikasi noise yang tidak terdeteksi oleh metode lain.
Dari hasil clustering, dapat disimpulkan bahwa perilaku pengguna e-commerce tidak sepenuhnya homogen. Terdapat kelompok pengguna aktif (banyak interaksi & potensi pembelian tinggi), pengguna dengan aktivitas sedang, dan pengguna pasif atau bahkan tidak konsisten (noise).
Keberadaan noise pada DBSCAN menunjukkan bahwa dalam data nyata, selalu ada pengguna dengan perilaku yang “tidak biasa”, misalnya hanya membuka satu halaman atau memiliki pola akses yang sangat berbeda. Ini menjadi insight penting karena metode berbasis centroid seperti K-Means tidak mampu mendeteksi hal tersebut. Hasil ini bisa dimanfaatkan untuk mengidentifikasi pelanggan potensial (cluster aktivitas tinggi), meningkatkan engagement pada pengguna pasif dan mendeteksi perilaku anomali dalam sistem e-commerce. Hal ini menunjukkan bahwa pendekatan berbasis kepadatan seperti DBSCAN lebih mampu merepresentasikan pola data yang kompleks dan tidak terstruktur dibandingkan metode berbasis centroid. Secara keseluruhan, metode DBSCAN memberikan hasil clustering yang paling representatif terhadap pola data, sehingga lebih direkomendasikan untuk kasus segmentasi perilaku pengguna e-commerce dengan karakteristik data yang kompleks dan tidak seragam.