library(openxlsx)
library(readxl)
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.1.4 ✔ readr 2.1.4
## ✔ forcats 1.0.0 ✔ stringr 1.5.0
## ✔ ggplot2 3.4.4 ✔ tibble 3.2.1
## ✔ lubridate 1.9.3 ✔ tidyr 1.3.0
## ✔ purrr 1.0.2
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(cowplot)
##
## Attaching package: 'cowplot'
##
## The following object is masked from 'package:lubridate':
##
## stamp
library(ggpubr)
##
## Attaching package: 'ggpubr'
##
## The following object is masked from 'package:cowplot':
##
## get_legend
library(cluster)
library(purrr)
library(dplyr)
library(readr)
Evidencia1 <- read_csv("Documents/Evidencia1.csv")
## Rows: 12510 Columns: 6
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (6): ent, mun, est, pea, ocupados, informales
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
summary(Evidencia1)
## ent mun est pea ocupados
## Min. : 0.00 Min. : 0.0 Min. :1 Min. : 0.063 Min. : 0.079
## 1st Qu.:14.00 1st Qu.: 22.0 1st Qu.:2 1st Qu.: 4.609 1st Qu.: 5.902
## Median :20.00 Median : 55.0 Median :3 Median :51.062 Median : 88.867
## Mean :19.17 Mean :107.3 Mean :3 Mean :35.629 Mean : 59.316
## 3rd Qu.:24.00 3rd Qu.:125.0 3rd Qu.:4 3rd Qu.:58.165 3rd Qu.: 98.198
## Max. :32.00 Max. :570.0 Max. :5 Max. :83.504 Max. :100.000
## informales
## Min. : 0.04
## 1st Qu.: 10.86
## Median : 56.72
## Mean : 48.83
## 3rd Qu.: 81.31
## Max. :100.00
subset_df <- subset(Evidencia1, pea >1000)
pea = scale(Evidencia1, center = TRUE, scale = TRUE)
summary(pea)
## ent mun est pea
## Min. :-2.5882 Min. :-0.8126 Min. :-1.4142 Min. :-1.3511
## 1st Qu.:-0.6983 1st Qu.:-0.6459 1st Qu.:-0.7071 1st Qu.:-1.1784
## Median : 0.1116 Median :-0.3959 Median : 0.0000 Median : 0.5863
## Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
## 3rd Qu.: 0.6516 3rd Qu.: 0.1344 3rd Qu.: 0.7071 3rd Qu.: 0.8561
## Max. : 1.7316 Max. : 3.5057 Max. : 1.4142 Max. : 1.8187
## ocupados informales
## Min. :-1.3378 Min. :-1.4112
## 1st Qu.:-1.2063 1st Qu.:-1.0981
## Median : 0.6673 Median : 0.2283
## Mean : 0.0000 Mean : 0.0000
## 3rd Qu.: 0.8781 3rd Qu.: 0.9394
## Max. : 0.9188 Max. : 1.4801
?kmeans
kmcluster = kmeans(pea,centers=4,nstart = 100)
kmcluster
## K-means clustering with 4 clusters of sizes 2502, 4266, 3240, 2502
##
## Cluster means:
## ent mun est pea ocupados informales
## 1 8.595842e-15 -4.265395e-16 -0.7070785 -1.2471947 -1.2217756 -1.1640590
## 2 6.890406e-01 3.760716e-01 -0.2327094 0.8111927 0.8171509 0.8608142
## 3 -9.072367e-01 -4.951610e-01 -0.2396211 0.7945673 0.8094208 0.6051642
## 4 8.595842e-15 -4.265395e-16 1.4141570 -1.1648541 -1.2196668 -1.0873261
##
## Clustering vector:
## [1] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [37] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [73] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [109] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [145] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [181] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [217] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [253] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [289] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [325] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [361] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [397] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [433] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [469] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [505] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [541] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [577] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [613] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [649] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [685] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [721] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [757] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [793] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [829] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [865] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [901] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [937] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [973] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1009] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1045] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1081] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [1117] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [1153] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1189] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1225] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1261] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [1297] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [1333] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1369] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1405] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1441] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [1477] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [1513] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1549] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1585] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1621] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [1657] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [1693] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1729] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1765] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1801] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [1837] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [1873] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [1909] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [1945] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [1981] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2017] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2053] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2089] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [2125] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [2161] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2197] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2233] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2269] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [2305] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [2341] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2377] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2413] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2449] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [2485] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [2521] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2557] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2593] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2629] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [2665] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [2701] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2737] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2773] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2809] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [2845] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [2881] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [2917] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [2953] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [2989] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3025] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3061] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3097] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [3133] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [3169] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3205] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3241] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3277] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [3313] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [3349] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3385] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3421] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3457] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [3493] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [3529] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3565] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3601] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3637] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [3673] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [3709] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3745] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3781] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3817] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [3853] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [3889] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [3925] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [3961] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [3997] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4033] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4069] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [4105] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [4141] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [4177] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4213] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4249] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [4285] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [4321] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [4357] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4393] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4429] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [4465] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [4501] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [4537] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4573] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4609] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [4645] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [4681] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [4717] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4753] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4789] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [4825] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [4861] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [4897] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [4933] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [4969] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [5005] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [5041] 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3
## [5077] 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1
## [5113] 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3
## [5149] 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3
## [5185] 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4
## [5221] 3 1 3 3 4 3 1 3 2 4 3 1 3 2 4 3 1 3 2 4 3 1 3 3 4 3 1 3 3 4 3 1 3 3 4 2
## [5257] 1 3 2 4 3 1 3 3 4 3 1 3 3 4 3 1 3 2 4 2 1 3 2 4 2 1 3 2 4 3 1 3 2 4 2 1
## [5293] 3 2 4 3 1 3 2 4 2 1 3 2 4 2 1 3 2 4 3 1 3 3 4 2 1 3 2 4 3 1 3 2 4 2 1 3
## [5329] 2 4 2 1 3 2 4 2 1 3 2 4 3 1 3 2 4 2 1 2 2 4 2 1 3 2 4 3 1 3 2 4 3 1 3 2
## [5365] 4 2 1 3 2 4 3 1 3 2 4 2 1 2 2 4 2 1 3 2 4 2 1 3 2 4 2 1 3 2 4 2 1 2 2 4
## [5401] 2 1 2 2 4 2 1 3 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 3 2 4 2 1 3 2 4 2
## [5437] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 3 2 4 2 1 3 2 4 2 1 2 2 4 2 1
## [5473] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [5509] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [5545] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [5581] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [5617] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [5653] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [5689] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [5725] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [5761] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [5797] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [5833] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [5869] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [5905] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [5941] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [5977] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6013] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6049] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6085] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [6121] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [6157] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6193] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6229] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6265] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [6301] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [6337] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6373] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6409] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6445] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [6481] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [6517] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6553] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6589] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6625] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [6661] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [6697] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6733] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6769] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6805] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [6841] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [6877] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [6913] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [6949] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [6985] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7021] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7057] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7093] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [7129] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [7165] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7201] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7237] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7273] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [7309] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [7345] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7381] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7417] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7453] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [7489] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [7525] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7561] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7597] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7633] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [7669] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [7705] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7741] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7777] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7813] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [7849] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [7885] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [7921] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [7957] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [7993] 2 2 4 2 1 2 2 4 3 1 3 3 4 3 1 3 2 4 3 1 3 2 4 3 1 3 2 4 3 1 3 2 4 2 1 2
## [8029] 2 4 2 1 3 2 4 2 1 2 2 4 3 1 3 2 4 2 1 3 2 4 2 1 3 2 4 2 1 2 2 4 2 1 3 2
## [8065] 4 2 1 2 2 4 2 1 3 2 4 3 1 3 3 4 2 1 3 2 4 2 1 3 2 4 2 1 3 2 4 2 1 3 2 4
## [8101] 2 1 2 2 4 2 1 3 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [8137] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [8173] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 3 1 3
## [8209] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [8245] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [8281] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [8317] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [8353] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [8389] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [8425] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [8461] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [8497] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [8533] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [8569] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [8605] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [8641] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [8677] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [8713] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [8749] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [8785] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [8821] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [8857] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [8893] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [8929] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [8965] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [9001] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9037] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9073] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 3 1 3 3 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [9109] 2 4 2 1 2 2 4 3 1 3 2 4 3 1 3 3 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [9145] 4 3 1 3 2 4 3 1 3 2 4 2 1 2 2 4 3 1 3 3 4 2 1 2 2 4 3 1 3 2 4 2 1 2 2 4
## [9181] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9217] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9253] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [9289] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [9325] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [9361] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9397] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9433] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [9469] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [9505] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [9541] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9577] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9613] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [9649] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [9685] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [9721] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9757] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9793] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [9829] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [9865] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [9901] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [9937] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [9973] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10009] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10045] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10081] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [10117] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [10153] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10189] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10225] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10261] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [10297] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [10333] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10369] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10405] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10441] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [10477] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [10513] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10549] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10585] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10621] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [10657] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [10693] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10729] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10765] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10801] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [10837] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [10873] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [10909] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [10945] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [10981] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11017] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11053] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11089] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [11125] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [11161] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11197] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11233] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11269] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [11305] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [11341] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11377] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11413] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11449] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [11485] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [11521] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11557] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11593] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11629] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [11665] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [11701] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11737] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11773] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11809] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [11845] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [11881] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [11917] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [11953] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [11989] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [12025] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [12061] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [12097] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [12133] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [12169] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [12205] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [12241] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [12277] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [12313] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2
## [12349] 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2
## [12385] 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
## [12421] 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2
## [12457] 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1
## [12493] 2 2 4 2 1 2 2 4 2 1 2 2 4 2 1 2 2 4
##
## Within cluster sum of squares by cluster:
## [1] 5022.676 12010.267 4961.419 5034.616
## (between_SS / total_SS = 64.0 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"
pea = Evidencia1 %>% mutate(cluster = kmcluster$cluster)
(g1=ggplot(pea, aes(x = ocupados, y = informales)) +
geom_point(aes(color=as.factor(cluster)), size=.01) +
theme_bw() +
theme(legend.position = "none")+
labs(title = "Kmenas con k=4")
)
