# 1. Crear base de datos
df <- data.frame(x = c(2,2,8,5,7,6,1,4),
                 y = c(10,5,4,8,5,4,2,9))

# 2. Determinar el número de grupos
grupos <- 3

# 3. Realizar la clasificación
segmentos <- kmeans(df,grupos)
segmentos
## K-means clustering with 3 clusters of sizes 2, 3, 3
## 
## Cluster means:
##          x        y
## 1 1.500000 3.500000
## 2 7.000000 4.333333
## 3 3.666667 9.000000
## 
## Clustering vector:
## [1] 3 1 2 3 2 2 1 3
## 
## Within cluster sum of squares by cluster:
## [1] 5.000000 2.666667 6.666667
##  (between_SS / total_SS =  85.8 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
# 4. Revisar la asignación de grupos
asignacion <- cbind(df, cluster=segmentos$cluster)
asignacion
##   x  y cluster
## 1 2 10       3
## 2 2  5       1
## 3 8  4       2
## 4 5  8       3
## 5 7  5       2
## 6 6  4       2
## 7 1  2       1
## 8 4  9       3
# 5. Graficar asignaciones
# install.packages("ggplot2")
library(ggplot2)
# install.packages("factoextra")
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
fviz_cluster(segmentos, data = df,
             palette = c("red", "blue", "black"),
             ellipse.type = "euclid",
             star.plot = T,
             repel = T,
             ggtheme = theme())
## Too few points to calculate an ellipse
## Too few points to calculate an ellipse
## Too few points to calculate an ellipse

# 6. Optimizar la cantidad de grupos
library(cluster)
library(data.table)

set.seed(123)
optimizacion <- clusGap(df, FUN = kmeans, nstart = 1, K.max = 7)

Ejercicio

1. Importar la base de datos

# file.choose()
bd <- read.csv("/Users/danielatrevino/Downloads/ventas.csv")

2. Entender la base de datos

summary(bd)
##     BillNo            Itemname            Quantity            Date          
##  Length:522064      Length:522064      Min.   :-9600.00   Length:522064     
##  Class :character   Class :character   1st Qu.:    1.00   Class :character  
##  Mode  :character   Mode  :character   Median :    3.00   Mode  :character  
##                                        Mean   :   10.09                     
##                                        3rd Qu.:   10.00                     
##                                        Max.   :80995.00                     
##                                                                             
##      Hour               Price              CustomerID       Country         
##  Length:522064      Min.   :-11062.060   Min.   :12346    Length:522064     
##  Class :character   1st Qu.:     1.250   1st Qu.:13950    Class :character  
##  Mode  :character   Median :     2.080   Median :15265    Mode  :character  
##                     Mean   :     3.827   Mean   :15317                      
##                     3rd Qu.:     4.130   3rd Qu.:16837                      
##                     Max.   : 13541.330   Max.   :18287                      
##                                          NA's   :134041                     
##      Total          
##  Min.   :-11062.06  
##  1st Qu.:     3.75  
##  Median :     9.78  
##  Mean   :    19.69  
##  3rd Qu.:    17.40  
##  Max.   :168469.60  
## 
# install.packages("dplyr")
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:data.table':
## 
##     between, first, last
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
#count(bd,BillNo, sort = TRUE)
#count(bd,Itemname, sort = TRUE)
#count(bd,Quantity, sort = TRUE)
#count(bd,Date, sort = TRUE)
#count(bd,Hour, sort = TRUE)
#count(bd,Price, sort = TRUE)
#count(bd,Country, sort = TRUE)

Observaciones 1. Tenemos cantidades, precios y totales negativos 2. Fecha y hora no tienen formato adecuado 3. Tenemos NA’s en Customer ID

3. Limpiar la base de datos

# ¿Cuantos NA's tengo en la base de datos?
sum(is.na(bd))
## [1] 134041
# ¿Cuantos NA tengo por variable?
sapply(bd, function(x) sum(is.na(x)))
##     BillNo   Itemname   Quantity       Date       Hour      Price CustomerID 
##          0          0          0          0          0          0     134041 
##    Country      Total 
##          0          0
# Eliminar NA
bd <- na.omit(bd)

# Eliminar Totales negativos
bd <- bd[bd$Total > 0,]

# Identificar outliers
boxplot(bd$Total, horizontal = TRUE)

Observaciones 4. Tenemos presencia de datos fuera de lo normal (outliers)

# Obtener el total por ticket
ticket_promedio <- aggregate(Total ~ CustomerID + BillNo, data = bd, sum)

# Obtener el ticket promedio
ticket_promedio <- aggregate(Total ~ CustomerID,
data=ticket_promedio, mean)
colnames(ticket_promedio) <- c("CustomerID", "TicketPromedio")

#Obtener cantidad de visitas por Cliente
visitas <- group_by(bd, CustomerID) %>% summarise(Visitas=
n_distinct(BillNo))

# Juntar las tablas de ticket promedio y visitas
objetos <- merge(ticket_promedio, visitas, by="CustomerID")
# Llamar a los renglones como Customer ID
rownames(objetos) <- objetos$CustomerID
objetos <- subset(objetos, select = -c(CustomerID))
#Eliminar datos fuera de lo normal

# Los dtaos fuera de lo normal estan fuera de los siguientes limites:
# Limite inferior = Q1 - 1.5*IQR
# Limite superior = Q3 + 1.5*IQR
# Q1: Cuartil 1, Q3: Cuartil 3, IQR: Rango Intercuartil

# Columna de ticket promedio
IQR_TP <- IQR(objetos$TicketPromedio)
IQR_TP
## [1] 248.3318
summary(objetos)
##  TicketPromedio        Visitas       
##  Min.   :    3.45   Min.   :  1.000  
##  1st Qu.:  178.30   1st Qu.:  1.000  
##  Median :  292.00   Median :  2.000  
##  Mean   :  415.62   Mean   :  4.227  
##  3rd Qu.:  426.63   3rd Qu.:  5.000  
##  Max.   :84236.25   Max.   :209.000
LI_TP <- 178.30 - 1.5*IQR_TP
LI_TP
## [1] -194.1977
LS_TP <- 426.63 + 1.5*IQR_TP
LS_TP
## [1] 799.1277
objetos <- objetos[objetos$TicketPromedio <= 799.13,]
# Columna de visiras
IQR_V <- IQR(objetos$Visitas)
IQR_V
## [1] 4
summary(objetos)
##  TicketPromedio      Visitas       
##  Min.   :  3.45   Min.   :  1.000  
##  1st Qu.:172.93   1st Qu.:  1.000  
##  Median :272.22   Median :  2.000  
##  Mean   :298.08   Mean   :  4.125  
##  3rd Qu.:390.07   3rd Qu.:  5.000  
##  Max.   :798.83   Max.   :209.000
LI_V <- 1 - 1.5*IQR_V
LI_V
## [1] -5
LS_V <- 5 + 1.5*IQR_V
LS_V
## [1] 11
objetos <- objetos[objetos$Visitas <= 11,]
summary(objetos)
##  TicketPromedio      Visitas      
##  Min.   :  3.45   Min.   : 1.000  
##  1st Qu.:168.66   1st Qu.: 1.000  
##  Median :267.12   Median : 2.000  
##  Mean   :293.86   Mean   : 2.971  
##  3rd Qu.:384.49   3rd Qu.: 4.000  
##  Max.   :797.45   Max.   :11.000
#install.packages("ggplot2")
library(ggplot2)
#install.packages("factoextra")
library(factoextra)

4. Asignación de grupos (k-NN)

# 0. Normalizar variables
objetos <- as.data.frame(scale(objetos))

# 1. Crear base de datos
df <- objetos

# 2. Determinar el número de grupos
grupos <- 4

# 3. Realizar la clasificación
segmentos <- kmeans(df, grupos)
segmentos
## K-means clustering with 4 clusters of sizes 520, 408, 896, 1944
## 
## Cluster means:
##   TicketPromedio    Visitas
## 1     -0.2808639  1.8142562
## 2      1.1987719  1.0206979
## 3      1.0509054 -0.5456423
## 4     -0.6608338 -0.4480260
## 
## Clustering vector:
## 12347 12350 12352 12353 12355 12358 12361 12362 12363 12364 12370 12373 12374 
##     2     3     1     4     3     3     4     2     4     2     4     3     3 
## 12379 12380 12381 12383 12384 12386 12388 12390 12393 12394 12399 12401 12402 
##     3     2     2     2     4     4     2     3     2     3     4     4     4 
## 12407 12408 12410 12413 12414 12417 12418 12421 12422 12423 12425 12426 12427 
##     2     2     3     4     4     1     3     4     4     1     3     3     4 
## 12429 12430 12434 12436 12441 12442 12445 12447 12448 12450 12452 12453 12455 
##     3     4     3     3     4     4     4     3     3     4     4     3     4 
## 12457 12458 12461 12462 12463 12464 12465 12468 12473 12475 12476 12478 12479 
##     2     3     3     3     2     1     3     3     2     3     2     3     3 
## 12481 12483 12484 12488 12489 12490 12491 12492 12493 12494 12498 12500 12502 
##     2     1     2     3     3     2     3     4     4     1     4     1     2 
## 12504 12506 12507 12508 12509 12510 12512 12513 12515 12516 12517 12518 12519 
##     4     4     3     4     4     3     4     3     3     3     2     2     3 
## 12520 12521 12522 12523 12524 12526 12527 12528 12530 12531 12532 12535 12538 
##     2     3     4     1     2     3     4     1     2     4     3     3     3 
## 12541 12544 12545 12546 12547 12548 12551 12552 12553 12556 12558 12559 12560 
##     4     3     3     3     4     4     4     4     1     4     4     4     3 
## 12561 12562 12564 12565 12566 12571 12572 12573 12574 12576 12577 12579 12580 
##     4     2     3     4     3     4     3     4     4     1     4     3     3 
## 12581 12584 12586 12589 12591 12592 12593 12594 12596 12598 12599 12600 12601 
##     4     1     4     4     3     4     4     1     4     1     1     1     1 
## 12602 12603 12604 12609 12610 12612 12613 12614 12615 12616 12617 12618 12619 
##     4     3     4     3     2     3     2     4     2     3     3     4     1 
## 12620 12622 12623 12624 12626 12627 12628 12633 12637 12638 12639 12640 12641 
##     3     4     4     4     2     2     4     2     2     3     3     3     4 
## 12642 12643 12644 12645 12646 12648 12649 12650 12651 12654 12657 12658 12659 
##     3     2     3     2     3     4     4     4     4     1     2     3     4 
## 12660 12662 12665 12670 12672 12673 12674 12676 12679 12680 12684 12685 12686 
##     4     1     4     2     4     4     2     1     4     4     1     2     4 
## 12689 12690 12691 12693 12694 12695 12697 12701 12702 12703 12705 12707 12708 
##     3     3     1     4     3     4     4     3     4     4     2     3     1 
## 12710 12715 12716 12717 12718 12719 12721 12722 12723 12724 12725 12726 12727 
##     3     3     3     3     4     4     2     4     1     4     3     1     2 
## 12728 12729 12732 12733 12734 12735 12736 12738 12739 12740 12743 12747 12750 
##     4     3     4     3     4     3     4     4     3     3     4     1     4 
## 12756 12759 12763 12775 12778 12779 12782 12783 12784 12785 12787 12789 12790 
##     4     3     4     1     1     2     2     2     4     4     4     4     3 
## 12791 12792 12793 12794 12795 12797 12802 12808 12809 12811 12812 12814 12815 
##     4     3     4     3     3     4     3     4     3     4     4     4     3 
## 12816 12817 12820 12821 12822 12823 12824 12826 12827 12828 12829 12831 12832 
##     4     4     4     4     3     2     3     1     4     1     4     4     4 
## 12833 12834 12836 12837 12838 12840 12842 12843 12844 12845 12849 12851 12852 
##     3     4     2     4     3     2     3     1     4     4     3     4     4 
## 12853 12854 12855 12856 12857 12863 12864 12865 12866 12867 12868 12871 12872 
##     1     3     4     2     3     3     4     3     3     2     1     4     4 
## 12873 12875 12878 12879 12881 12882 12883 12884 12885 12886 12888 12890 12891 
##     3     4     3     4     4     3     4     4     3     3     4     3     4 
## 12893 12895 12897 12902 12904 12906 12908 12909 12910 12912 12913 12915 12916 
##     4     4     4     4     4     2     3     2     1     2     2     4     2 
## 12917 12919 12920 12922 12923 12924 12925 12928 12929 12930 12933 12935 12936 
##     3     1     4     3     4     4     3     2     4     4     4     1     4 
## 12937 12938 12940 12942 12944 12945 12947 12948 12949 12950 12951 12952 12953 
##     2     4     3     4     4     3     1     1     2     3     1     2     3 
## 12955 12956 12957 12962 12963 12965 12966 12968 12970 12974 12976 12977 12981 
##     1     4     2     4     1     3     4     4     4     4     3     4     4 
## 12982 12984 12985 12987 12988 12990 12991 12993 12994 12995 12997 12999 13000 
##     3     4     3     4     3     4     4     4     4     4     4     4     4 
## 13002 13003 13005 13006 13008 13011 13012 13014 13015 13016 13017 13021 13023 
##     4     4     4     4     4     4     1     1     2     4     4     1     3 
## 13026 13028 13029 13030 13032 13033 13034 13035 13037 13038 13040 13043 13044 
##     1     3     3     3     3     4     4     3     4     4     3     3     3 
## 13045 13046 13047 13048 13049 13052 13055 13058 13059 13060 13061 13062 13064 
##     4     4     1     2     3     3     3     4     4     4     4     3     4 
## 13065 13066 13067 13068 13070 13072 13077 13079 13080 13082 13083 13085 13091 
##     4     4     4     4     4     4     4     4     4     1     4     4     3 
## 13092 13095 13097 13099 13101 13103 13104 13106 13107 13108 13109 13110 13115 
##     1     4     2     4     4     4     1     4     2     3     3     1     2 
## 13116 13117 13118 13120 13121 13122 13126 13127 13130 13131 13132 13133 13134 
##     3     1     1     4     4     3     1     4     4     3     4     4     2 
## 13136 13137 13138 13139 13140 13141 13142 13144 13145 13146 13147 13149 13153 
##     2     2     1     2     4     2     4     4     4     4     4     2     3 
## 13155 13157 13158 13159 13160 13161 13162 13165 13166 13167 13168 13169 13170 
##     4     2     4     2     4     4     2     3     3     4     2     3     4 
## 13171 13173 13176 13177 13178 13182 13183 13184 13185 13186 13187 13188 13189 
##     4     4     3     4     1     4     1     1     4     3     4     4     4 
## 13192 13193 13194 13196 13198 13200 13203 13207 13208 13209 13210 13211 13212 
##     3     4     4     2     2     4     4     4     1     2     3     3     4 
## 13213 13216 13217 13218 13220 13221 13223 13226 13227 13228 13229 13232 13233 
##     1     3     4     4     4     3     4     4     4     3     4     1     4 
## 13236 13238 13239 13240 13242 13243 13244 13245 13246 13247 13248 13249 13253 
##     3     4     3     4     4     3     4     3     1     4     4     4     3 
## 13255 13258 13259 13260 13261 13262 13265 13268 13270 13271 13272 13273 13276 
##     4     4     4     3     3     4     2     1     3     4     4     4     4 
## 13277 13278 13279 13280 13282 13283 13284 13285 13291 13292 13294 13295 13296 
##     4     3     4     4     3     4     4     2     3     4     3     4     4 
## 13297 13298 13299 13300 13301 13302 13304 13305 13307 13308 13309 13310 13311 
##     2     3     4     3     4     4     4     1     4     3     1     3     4 
## 13313 13314 13317 13318 13320 13321 13322 13323 13324 13325 13327 13329 13330 
##     1     4     2     4     2     4     4     1     2     3     2     3     3 
## 13332 13336 13338 13341 13343 13345 13347 13348 13349 13350 13351 13352 13354 
##     3     3     3     3     3     3     3     4     4     3     3     3     3 
## 13355 13356 13357 13358 13359 13362 13363 13364 13366 13368 13369 13370 13372 
##     3     3     3     3     3     2     3     4     4     4     4     3     3 
## 13375 13376 13379 13381 13382 13384 13385 13388 13389 13390 13391 13394 13395 
##     3     3     4     2     4     2     3     3     4     3     4     1     4 
## 13396 13397 13398 13402 13403 13404 13405 13410 13411 13414 13416 13417 13419 
##     3     1     3     4     4     4     4     1     4     3     3     4     4 
## 13420 13425 13426 13427 13428 13429 13430 13431 13434 13435 13436 13437 13439 
##     4     3     1     4     4     4     3     3     4     2     4     2     4 
## 13441 13447 13448 13449 13450 13451 13452 13453 13455 13456 13460 13461 13462 
##     4     3     2     4     1     2     4     4     3     1     4     3     4 
## 13464 13466 13467 13470 13471 13473 13474 13475 13476 13477 13479 13481 13482 
##     3     4     3     4     2     4     4     2     3     1     4     2     4 
## 13483 13484 13485 13486 13487 13489 13491 13492 13493 13494 13495 13496 13497 
##     4     4     3     3     4     4     1     3     4     4     2     3     4 
## 13499 13500 13502 13503 13504 13506 13507 13508 13509 13510 13512 13513 13514 
##     1     3     4     4     4     4     2     4     1     2     4     4     4 
## 13515 13516 13517 13518 13519 13520 13521 13522 13523 13524 13525 13527 13529 
##     4     3     3     3     4     2     3     4     2     1     4     1     4 
## 13531 13532 13533 13536 13538 13539 13544 13546 13548 13549 13551 13557 13558 
##     4     4     4     2     1     4     4     4     3     1     4     4     4 
## 13560 13561 13562 13563 13564 13565 13566 13568 13569 13570 13573 13575 13577 
##     4     4     3     3     3     4     3     4     4     4     4     1     2 
## 13579 13581 13583 13584 13587 13588 13589 13590 13591 13592 13593 13594 13596 
##     4     4     3     4     3     1     4     1     3     4     2     3     3 
## 13598 13600 13601 13602 13603 13606 13607 13610 13611 13614 13615 13617 13618 
##     4     4     3     3     4     4     3     1     3     2     3     4     4 
## 13621 13623 13626 13627 13629 13630 13631 13632 13634 13636 13637 13638 13642 
##     4     1     4     2     2     1     1     2     1     1     4     4     3 
## 13643 13644 13645 13647 13649 13650 13651 13652 13654 13655 13656 13657 13658 
##     4     2     4     2     4     1     4     3     2     3     4     4     2 
## 13659 13662 13663 13666 13667 13669 13670 13672 13673 13675 13678 13681 13682 
##     3     4     4     4     4     4     3     4     4     4     4     4     4 
## 13684 13685 13686 13690 13692 13697 13699 13700 13703 13704 13705 13706 13707 
##     4     2     4     4     3     4     4     1     4     1     4     3     3 
## 13708 13710 13711 13712 13715 13716 13717 13718 13719 13720 13721 13722 13723 
##     4     4     4     4     1     4     1     4     1     4     3     3     4 
## 13725 13726 13727 13728 13730 13731 13732 13735 13736 13737 13739 13740 13741 
##     1     3     4     1     3     4     3     2     3     3     4     3     4 
## 13743 13744 13745 13747 13748 13750 13751 13752 13753 13754 13755 13758 13759 
##     1     3     4     4     1     2     4     1     3     4     1     2     3 
## 13760 13761 13762 13764 13769 13771 13772 13774 13778 13780 13781 13782 13784 
##     4     3     4     3     1     2     3     3     4     4     4     1     1 
## 13786 13787 13790 13791 13792 13799 13800 13801 13803 13804 13805 13806 13807 
##     4     4     3     3     4     3     3     3     4     1     3     4     4 
## 13808 13810 13811 13812 13813 13814 13816 13817 13819 13821 13822 13823 13824 
##     2     3     4     4     2     3     4     4     3     4     4     3     2 
## 13826 13827 13828 13831 13832 13833 13835 13837 13838 13841 13842 13844 13845 
##     4     4     4     2     4     3     4     4     4     4     1     3     4 
## 13846 13848 13849 13856 13858 13859 13860 13862 13863 13865 13866 13867 13869 
##     4     3     3     4     4     4     1     1     4     4     4     3     2 
## 13870 13873 13874 13875 13876 13877 13882 13883 13884 13885 13886 13887 13888 
##     1     4     3     2     4     4     1     2     1     4     4     3     4 
## 13889 13890 13892 13894 13895 13897 13898 13899 13900 13901 13904 13908 13911 
##     3     1     4     4     2     4     4     4     4     2     4     2     1 
## 13914 13917 13918 13922 13923 13924 13925 13926 13927 13928 13929 13930 13931 
##     4     4     3     4     3     1     4     4     3     4     3     4     3 
## 13932 13933 13936 13937 13938 13939 13940 13946 13947 13948 13949 13950 13951 
##     4     4     3     4     4     4     4     4     4     4     2     4     4 
## 13953 13954 13955 13956 13959 13960 13962 13963 13967 13971 13972 13973 13974 
##     2     4     4     1     4     4     4     4     4     1     4     4     3 
## 13975 13976 13978 13980 13982 13984 13986 13988 13989 13990 13991 13992 13993 
##     2     3     4     4     2     1     4     2     3     4     1     4     1 
## 13994 13995 14000 14001 14002 14004 14005 14006 14009 14012 14013 14014 14019 
##     2     1     3     3     4     2     2     4     3     3     4     3     3 
## 14020 14021 14022 14023 14024 14027 14029 14030 14032 14034 14035 14036 14037 
##     4     4     3     4     4     4     4     1     1     4     1     3     4 
## 14038 14039 14041 14044 14045 14046 14047 14048 14050 14052 14053 14054 14055 
##     3     4     4     4     2     4     1     3     3     4     4     4     3 
## 14059 14064 14066 14067 14068 14071 14073 14075 14076 14077 14078 14079 14080 
##     4     1     4     4     4     1     4     4     4     1     1     3     4 
## 14081 14082 14083 14087 14089 14090 14093 14098 14099 14100 14102 14104 14107 
##     3     4     1     4     4     4     3     4     1     4     1     4     1 
## 14108 14109 14111 14112 14113 14114 14116 14117 14121 14124 14126 14127 14128 
##     4     4     4     2     2     4     1     4     2     3     4     4     4 
## 14129 14130 14132 14133 14138 14139 14140 14141 14142 14143 14147 14148 14149 
##     1     3     1     4     3     3     3     4     4     4     4     4     3 
## 14150 14152 14154 14155 14157 14158 14159 14161 14162 14163 14165 14167 14171 
##     3     4     3     4     4     3     1     3     4     2     4     4     3 
## 14173 14174 14176 14177 14178 14179 14184 14185 14188 14193 14195 14196 14198 
##     4     4     4     4     1     3     3     4     1     3     3     3     4 
## 14199 14201 14204 14205 14206 14208 14209 14210 14211 14214 14215 14216 14218 
##     4     1     4     4     3     4     1     1     1     1     1     2     4 
## 14219 14220 14221 14222 14223 14224 14226 14227 14229 14231 14232 14233 14234 
##     4     4     1     3     3     4     2     1     3     4     2     2     4 
## 14235 14236 14237 14238 14239 14240 14241 14242 14243 14246 14247 14248 14250 
##     2     4     4     4     1     3     4     4     1     3     4     4     3 
## 14251 14256 14257 14259 14261 14262 14264 14265 14267 14270 14271 14272 14273 
##     2     3     2     4     3     1     4     4     3     3     4     4     4 
## 14276 14280 14284 14285 14287 14288 14289 14290 14291 14292 14293 14295 14297 
##     3     4     4     2     4     3     1     2     1     2     4     4     2 
## 14299 14300 14301 14304 14305 14307 14309 14311 14312 14314 14315 14317 14320 
##     1     4     3     3     3     2     1     4     1     4     2     3     4 
## 14321 14323 14326 14327 14329 14331 14332 14333 14334 14335 14336 14338 14339 
##     1     4     4     4     2     4     4     3     1     4     2     4     4 
## 14340 14341 14342 14344 14345 14346 14348 14349 14350 14351 14352 14353 14354 
##     4     1     4     1     4     3     3     4     4     4     4     4     4 
## 14355 14356 14357 14359 14360 14362 14364 14368 14371 14373 14375 14377 14379 
##     4     3     4     4     2     4     2     4     4     4     4     4     4 
## 14381 14382 14383 14385 14386 14387 14388 14389 14390 14393 14395 14396 14400 
##     4     3     3     4     4     3     1     3     2     4     1     4     3 
## 14403 14404 14406 14407 14408 14409 14410 14412 14413 14414 14416 14418 14419 
##     2     1     4     2     1     1     1     3     4     1     4     3     1 
## 14420 14421 14422 14423 14424 14426 14427 14428 14431 14432 14434 14436 14437 
##     3     3     2     4     4     1     4     1     3     2     1     4     4 
## 14438 14440 14441 14443 14446 14447 14448 14449 14450 14451 14452 14453 14456 
##     4     2     2     2     4     1     4     4     4     3     4     4     1 
## 14457 14460 14461 14462 14463 14465 14466 14467 14470 14472 14473 14474 14475 
##     4     4     3     1     4     3     1     4     4     1     4     3     4 
## 14476 14477 14479 14480 14481 14482 14483 14484 14485 14487 14489 14491 14493 
##     4     2     4     4     4     1     4     4     4     1     3     4     2 
## 14494 14495 14496 14497 14498 14499 14500 14501 14502 14503 14504 14505 14506 
##     4     4     4     3     2     4     4     4     1     2     4     2     2 
## 14507 14508 14511 14512 14513 14514 14515 14517 14518 14520 14522 14523 14524 
##     1     4     1     4     4     3     1     4     4     4     4     4     1 
## 14525 14528 14529 14530 14532 14533 14536 14537 14538 14539 14540 14541 14542 
##     2     3     4     2     4     1     4     3     4     4     3     1     4 
## 14546 14547 14548 14549 14550 14551 14552 14553 14554 14555 14557 14561 14565 
##     2     2     3     4     3     4     4     1     2     4     3     3     2 
## 14567 14569 14570 14572 14573 14576 14577 14578 14581 14582 14583 14584 14585 
##     3     4     4     2     1     4     4     4     4     4     1     4     4 
## 14586 14587 14589 14591 14592 14593 14594 14595 14597 14598 14600 14601 14603 
##     4     1     4     2     4     4     4     1     3     4     3     4     3 
## 14608 14609 14616 14618 14619 14620 14621 14622 14623 14624 14625 14626 14628 
##     2     4     4     4     3     4     2     4     1     4     3     2     3 
## 14629 14631 14632 14633 14636 14638 14639 14640 14641 14642 14643 14644 14645 
##     3     3     4     3     4     3     2     1     4     4     3     3     4 
## 14647 14649 14651 14652 14653 14655 14656 14657 14658 14659 14660 14661 14662 
##     4     2     3     4     1     2     4     4     4     1     4     4     4 
## 14664 14665 14666 14669 14670 14672 14673 14675 14676 14681 14682 14684 14687 
##     4     2     4     3     4     3     2     3     2     4     4     1     3 
## 14689 14690 14691 14692 14693 14696 14697 14698 14699 14700 14701 14703 14704 
##     4     4     2     4     4     1     4     1     4     3     1     4     1 
## 14705 14708 14710 14711 14712 14713 14714 14715 14716 14719 14720 14722 14723 
##     4     3     4     1     4     1     4     4     4     2     4     4     1 
## 14725 14727 14729 14730 14731 14732 14737 14738 14739 14740 14741 14744 14745 
##     3     4     4     1     4     1     3     1     2     3     1     1     1 
## 14747 14748 14752 14753 14754 14755 14756 14757 14758 14759 14760 14761 14762 
##     3     1     3     3     4     1     3     3     2     3     4     4     4 
## 14764 14765 14766 14768 14770 14772 14775 14776 14778 14779 14780 14782 14784 
##     4     4     2     4     3     4     3     1     3     4     4     4     4 
## 14785 14788 14789 14790 14792 14793 14794 14795 14798 14799 14801 14803 14804 
##     4     3     4     4     4     4     1     4     4     4     4     4     3 
## 14805 14806 14808 14810 14813 14815 14816 14817 14818 14819 14820 14821 14823 
##     4     4     1     1     4     3     4     3     4     4     4     4     4 
## 14824 14828 14829 14830 14834 14836 14837 14840 14841 14842 14844 14847 14850 
##     4     3     4     4     1     4     2     4     2     2     2     4     3 
## 14851 14852 14853 14854 14855 14856 14857 14859 14860 14861 14862 14863 14865 
##     4     2     4     2     4     3     3     2     4     4     3     4     4 
## 14867 14868 14869 14870 14871 14873 14875 14878 14880 14881 14882 14883 14885 
##     4     1     3     3     4     3     3     1     4     4     4     1     3 
## 14886 14888 14889 14890 14891 14893 14894 14896 14897 14898 14901 14902 14903 
##     3     3     4     4     4     3     3     4     2     1     1     3     2 
## 14904 14905 14907 14908 14910 14912 14913 14915 14916 14920 14921 14923 14924 
##     3     4     2     4     4     3     4     4     4     3     3     3     4 
## 14929 14946 14947 14948 14950 14951 14952 14953 14954 14957 14958 14959 14960 
##     4     4     4     1     3     4     2     4     3     4     4     4     4 
## 14961 14962 14963 14964 14965 14966 14967 14968 14970 14971 14972 14973 14974 
##     2     4     1     4     4     4     3     4     2     3     4     3     4 
## 14975 14976 14978 14981 14984 14985 14987 14988 14995 14997 14998 15000 15002 
##     4     1     2     4     4     4     4     3     4     4     4     3     2 
## 15006 15007 15009 15010 15012 15014 15016 15017 15018 15019 15021 15022 15023 
##     3     4     3     4     4     4     4     4     4     4     1     4     2 
## 15024 15025 15026 15027 15028 15030 15031 15033 15034 15035 15036 15038 15041 
##     1     3     4     4     4     4     4     1     2     4     4     1     4 
## 15042 15043 15045 15047 15048 15049 15050 15051 15052 15053 15054 15057 15058 
##     4     3     3     3     4     4     3     3     4     4     4     3     1 
## 15059 15060 15062 15063 15065 15067 15068 15070 15071 15073 15074 15075 15079 
##     1     4     4     3     2     3     4     4     3     3     3     3     4 
## 15081 15083 15087 15088 15089 15090 15091 15092 15093 15095 15096 15097 15099 
##     1     4     4     3     2     3     3     4     2     2     4     4     3 
## 15100 15101 15103 15104 15105 15106 15107 15109 15110 15111 15114 15115 15116 
##     4     4     3     3     1     1     1     3     4     3     1     3     2 
## 15117 15118 15119 15120 15121 15122 15124 15127 15128 15129 15130 15132 15133 
##     1     4     4     3     4     3     4     3     2     1     3     1     4 
## 15134 15135 15136 15139 15140 15142 15143 15145 15146 15147 15148 15149 15150 
##     1     4     2     4     1     3     4     4     3     3     4     3     2 
## 15153 15154 15156 15157 15158 15160 15163 15164 15165 15167 15168 15172 15174 
##     3     4     4     3     3     4     4     4     3     4     4     2     4 
## 15175 15178 15179 15180 15181 15182 15184 15185 15186 15192 15193 15197 15198 
##     4     4     2     4     4     4     4     4     4     3     3     3     4 
## 15199 15201 15203 15204 15205 15206 15208 15210 15211 15212 15213 15214 15215 
##     4     1     1     4     3     4     1     3     3     4     4     1     4 
## 15216 15218 15219 15220 15221 15222 15223 15224 15225 15226 15227 15230 15232 
##     4     1     4     1     3     3     3     4     3     4     1     4     4 
## 15234 15236 15237 15238 15239 15240 15241 15243 15244 15246 15247 15252 15253 
##     4     4     2     3     3     2     1     4     4     4     3     3     1 
## 15254 15256 15257 15258 15260 15261 15262 15263 15264 15265 15266 15267 15269 
##     4     4     4     4     1     4     4     4     3     3     4     2     3 
## 15270 15272 15274 15275 15276 15277 15279 15280 15281 15286 15287 15288 15289 
##     1     3     3     3     4     4     4     4     1     4     4     2     4 
## 15292 15296 15297 15299 15300 15303 15304 15306 15307 15308 15312 15313 15314 
##     4     2     4     2     3     3     1     3     4     4     4     4     3 
## 15315 15316 15318 15319 15320 15322 15325 15326 15327 15329 15330 15332 15334 
##     4     4     4     4     4     3     4     4     4     3     3     2     4 
## 15335 15339 15342 15343 15344 15345 15346 15347 15348 15349 15350 15351 15353 
##     4     4     3     3     4     3     4     4     4     4     4     1     3 
## 15355 15356 15360 15361 15363 15364 15365 15366 15367 15368 15370 15374 15376 
##     4     1     3     3     3     3     1     4     2     3     1     4     3 
## 15379 15380 15381 15384 15385 15386 15389 15392 15393 15394 15395 15396 15397 
##     2     2     4     4     4     3     3     2     4     2     4     4     4 
## 15398 15399 15400 15402 15405 15406 15407 15408 15410 15411 15412 15414 15415 
##     3     4     1     4     3     4     4     4     2     2     4     4     3 
## 15417 15419 15421 15422 15423 15424 15426 15427 15428 15429 15432 15433 15434 
##     3     4     4     4     4     4     1     3     4     4     4     4     1 
## 15435 15436 15437 15438 15440 15442 15443 15444 15445 15447 15448 15449 15450 
##     4     3     4     4     4     3     2     3     4     4     3     4     3 
## 15452 15453 15454 15456 15457 15458 15460 15462 15463 15466 15467 15468 15469 
##     4     1     4     4     4     4     4     4     4     3     4     4     4 
## 15471 15472 15473 15475 15478 15483 15488 15489 15491 15492 15493 15494 15497 
##     3     3     1     3     3     4     4     3     2     3     2     3     3 
## 15500 15503 15504 15505 15506 15507 15508 15510 15511 15512 15514 15516 15517 
##     4     4     4     2     4     3     1     4     1     4     1     4     4 
## 15518 15520 15521 15522 15523 15524 15525 15526 15527 15528 15529 15530 15532 
##     1     3     1     4     3     3     4     4     1     4     1     2     2 
## 15533 15535 15537 15539 15540 15541 15543 15544 15545 15549 15550 15551 15552 
##     4     4     4     3     4     4     4     1     4     3     4     3     4 
## 15553 15554 15556 15557 15561 15562 15563 15565 15567 15568 15569 15571 15572 
##     3     4     4     3     4     4     2     4     4     4     1     4     1 
## 15573 15574 15577 15578 15579 15582 15584 15585 15587 15589 15592 15593 15594 
##     4     4     4     4     4     4     4     3     4     4     3     4     2 
## 15596 15597 15598 15599 15602 15603 15604 15605 15606 15607 15608 15609 15610 
##     1     3     4     3     1     4     4     1     1     4     4     4     4 
## 15612 15618 15619 15620 15621 15622 15623 15624 15625 15626 15628 15630 15632 
##     4     4     3     3     2     1     4     4     2     3     1     3     1 
## 15634 15636 15637 15639 15641 15643 15644 15645 15646 15648 15649 15651 15652 
##     4     3     4     3     2     4     4     3     4     3     3     4     3 
## 15653 15654 15655 15656 15657 15658 15659 15660 15661 15663 15664 15667 15668 
##     3     3     3     4     4     1     4     1     4     4     3     4     4 
## 15669 15670 15671 15673 15674 15675 15677 15678 15679 15680 15681 15683 15687 
##     4     4     1     2     2     4     3     3     4     3     1     4     1 
## 15689 15690 15691 15692 15695 15696 15699 15700 15701 15703 15704 15705 15706 
##     4     4     4     4     4     1     4     3     2     4     2     4     4 
## 15707 15708 15709 15712 15713 15714 15716 15717 15720 15721 15722 15723 15724 
##     4     2     4     1     4     4     4     4     3     3     2     4     4 
## 15725 15727 15729 15730 15732 15733 15734 15737 15739 15740 15743 15744 15745 
##     3     2     4     3     4     4     3     1     3     4     4     4     4 
## 15746 15747 15748 15750 15752 15753 15754 15755 15756 15757 15758 15759 15762 
##     4     4     4     1     1     4     4     2     4     3     4     4     4 
## 15763 15764 15766 15768 15773 15774 15775 15776 15777 15780 15781 15783 15785 
##     3     2     4     4     3     4     4     4     4     4     4     4     2 
## 15787 15789 15790 15793 15795 15796 15797 15799 15800 15801 15802 15803 15806 
##     4     3     4     4     3     1     2     4     3     3     3     3     4 
## 15807 15809 15810 15811 15812 15813 15814 15815 15819 15820 15821 15822 15823 
##     4     1     2     2     2     3     2     2     2     4     4     3     4 
## 15825 15826 15829 15830 15831 15834 15835 15836 15837 15839 15840 15841 15843 
##     3     3     4     3     4     2     4     4     3     3     4     4     4 
## 15844 15845 15847 15850 15852 15853 15855 15857 15858 15860 15861 15862 15863 
##     4     2     4     4     4     4     1     4     1     1     1     4     4 
## 15864 15865 15866 15869 15870 15872 15874 15877 15880 15881 15882 15883 15885 
##     1     4     4     4     3     4     2     4     3     1     4     4     4 
## 15886 15888 15889 15891 15894 15895 15897 15898 15899 15900 15901 15903 15904 
##     4     4     4     3     4     4     4     1     4     3     4     2     4 
## 15906 15907 15909 15910 15912 15916 15917 15918 15919 15920 15921 15922 15923 
##     1     4     4     1     4     1     4     4     4     4     3     3     4 
## 15925 15930 15932 15933 15935 15937 15938 15940 15942 15944 15945 15948 15949 
##     4     3     1     3     4     4     1     4     3     3     4     3     4 
## 15950 15951 15952 15953 15957 15958 15963 15965 15967 15969 15970 15973 15974 
##     2     3     4     1     3     4     4     4     4     4     4     4     2 
## 15975 15976 15977 15981 15983 15984 15985 15986 15987 15988 15990 15992 15993 
##     3     4     3     1     2     1     3     4     1     4     3     4     2 
## 15994 15996 15998 16003 16005 16006 16007 16008 16009 16010 16012 16014 16015 
##     3     1     2     2     4     4     2     4     4     4     3     4     4 
## 16016 16017 16018 16019 16020 16022 16023 16024 16025 16026 16027 16030 16031 
##     1     4     4     1     4     3     4     4     3     4     1     3     4 
## 16034 16036 16037 16038 16040 16042 16043 16045 16048 16049 16050 16052 16053 
##     4     3     4     4     3     1     4     2     4     3     4     3     3 
## 16054 16055 16056 16057 16059 16062 16063 16065 16066 16070 16071 16072 16073 
##     3     4     3     1     1     4     3     3     1     3     3     3     4 
## 16076 16078 16079 16080 16081 16083 16084 16085 16086 16091 16092 16093 16094 
##     1     4     3     4     2     3     3     1     1     4     4     4     4 
## 16096 16097 16098 16099 16102 16103 16104 16105 16106 16107 16109 16110 16112 
##     4     4     1     4     3     1     4     3     4     2     4     3     4 
## 16113 16114 16115 16116 16117 16119 16120 16121 16122 16123 16124 16125 16127 
##     4     4     1     3     4     4     2     3     4     4     4     4     3 
## 16128 16131 16134 16135 16136 16139 16140 16141 16142 16143 16144 16145 16146 
##     2     2     4     3     4     4     3     3     3     2     4     1     4 
## 16147 16148 16149 16150 16153 16156 16157 16159 16160 16162 16163 16164 16169 
##     3     4     4     2     2     1     4     3     3     4     3     4     2 
## 16170 16171 16172 16173 16174 16175 16177 16178 16179 16181 16183 16184 16185 
##     1     4     1     1     3     4     3     4     4     4     3     1     4 
## 16188 16189 16190 16193 16198 16200 16201 16202 16203 16204 16205 16206 16207 
##     4     4     4     4     3     3     2     3     4     3     4     4     3 
## 16208 16209 16211 16212 16213 16214 16215 16217 16218 16221 16224 16225 16226 
##     3     2     3     3     4     3     4     4     2     4     2     1     4 
## 16227 16229 16230 16232 16233 16235 16236 16239 16242 16243 16244 16245 16247 
##     4     3     4     4     4     1     3     4     2     4     3     3     4 
## 16248 16249 16250 16255 16256 16257 16261 16265 16266 16268 16271 16272 16274 
##     4     2     4     1     3     4     4     2     1     3     1     3     3 
## 16275 16278 16279 16282 16283 16284 16287 16292 16293 16295 16297 16298 16302 
##     3     3     3     4     1     3     4     4     1     2     4     4     4 
## 16305 16306 16308 16309 16311 16313 16315 16316 16317 16318 16319 16320 16321 
##     3     1     2     3     4     4     4     1     3     3     3     3     1 
## 16322 16323 16324 16325 16327 16330 16332 16337 16338 16339 16340 16341 16342 
##     4     4     4     4     2     4     1     4     4     4     3     2     4 
## 16343 16344 16345 16347 16348 16349 16350 16351 16352 16354 16356 16357 16358 
##     4     4     3     3     1     4     4     4     4     4     4     4     2 
## 16359 16360 16361 16362 16363 16364 16365 16366 16367 16368 16369 16370 16372 
##     1     2     4     1     4     3     1     3     3     4     3     2     4 
## 16374 16376 16377 16378 16379 16383 16384 16385 16386 16387 16389 16392 16394 
##     4     3     3     4     2     3     4     4     4     4     2     4     1 
## 16395 16399 16400 16402 16403 16404 16405 16406 16407 16409 16411 16412 16413 
##     1     4     4     4     4     3     4     4     1     2     4     4     4 
## 16414 16415 16416 16418 16419 16423 16424 16425 16426 16427 16429 16430 16431 
##     4     4     3     4     1     3     4     4     1     4     4     4     4 
## 16432 16433 16434 16438 16440 16441 16442 16444 16445 16447 16448 16449 16450 
##     4     4     1     1     2     4     4     4     4     4     4     3     4 
## 16451 16454 16455 16456 16457 16460 16461 16462 16463 16464 16466 16468 16469 
##     4     4     1     2     4     4     4     4     2     3     1     4     4 
## 16470 16471 16473 16474 16475 16477 16478 16479 16480 16482 16483 16484 16485 
##     4     4     4     1     4     1     4     4     3     4     4     4     3 
## 16488 16491 16493 16495 16496 16497 16498 16499 16500 16503 16504 16505 16506 
##     4     3     2     4     3     2     4     4     1     2     3     3     4 
## 16509 16510 16511 16513 16515 16516 16517 16518 16519 16520 16526 16527 16528 
##     3     4     4     4     2     4     4     4     4     3     4     4     4 
## 16529 16531 16533 16535 16536 16539 16542 16545 16546 16549 16550 16551 16552 
##     3     1     3     3     3     2     4     3     3     1     2     4     4 
## 16554 16555 16556 16557 16560 16561 16565 16566 16567 16569 16570 16571 16572 
##     4     4     2     4     3     4     4     1     3     4     1     3     3 
## 16573 16574 16581 16582 16583 16584 16586 16587 16589 16591 16593 16594 16595 
##     3     3     4     4     4     3     3     4     4     4     4     4     3 
## 16596 16597 16598 16600 16601 16602 16603 16609 16610 16611 16612 16613 16614 
##     4     4     4     1     4     3     4     2     4     4     4     3     3 
## 16616 16617 16618 16619 16620 16621 16623 16624 16625 16627 16628 16629 16633 
##     4     4     2     4     4     4     4     3     3     3     2     4     2 
## 16634 16637 16638 16639 16641 16642 16643 16644 16647 16648 16650 16653 16654 
##     4     4     1     3     4     3     3     3     4     4     3     3     4 
## 16655 16657 16658 16659 16660 16665 16666 16667 16668 16669 16670 16671 16674 
##     2     4     4     4     4     4     4     4     1     3     1     3     4 
## 16676 16679 16680 16681 16682 16685 16686 16688 16689 16690 16692 16693 16696 
##     2     4     4     1     1     4     2     4     4     4     3     4     4 
## 16697 16706 16708 16709 16710 16711 16712 16714 16715 16716 16717 16718 16719 
##     4     4     3     2     1     2     1     3     4     3     2     3     1 
## 16720 16721 16723 16725 16726 16727 16728 16730 16732 16734 16735 16737 16738 
##     4     4     4     1     1     4     4     4     3     4     2     3     4 
## 16739 16742 16743 16744 16747 16748 16750 16752 16753 16755 16756 16757 16758 
##     3     3     1     1     3     1     1     4     4     3     4     4     3 
## 16759 16761 16762 16763 16765 16766 16767 16768 16769 16770 16771 16773 16774 
##     4     4     3     3     4     3     1     4     3     1     2     4     4 
## 16775 16776 16777 16778 16780 16781 16784 16788 16789 16790 16791 16792 16793 
##     1     3     4     4     4     4     4     4     4     1     1     4     4 
## 16794 16795 16796 16801 16803 16804 16805 16806 16807 16808 16809 16810 16811 
##     1     3     4     2     3     4     4     4     3     4     1     4     4 
## 16812 16813 16816 16817 16818 16820 16823 16824 16825 16826 16828 16829 16830 
##     3     1     4     1     1     3     3     4     3     3     4     4     3 
## 16832 16833 16834 16835 16836 16837 16838 16841 16842 16846 16847 16848 16849 
##     4     4     3     4     4     1     4     1     3     4     4     4     4 
## 16850 16851 16852 16855 16856 16858 16859 16861 16863 16866 16869 16871 16872 
##     3     4     4     4     4     3     3     4     4     4     4     2     4 
## 16875 16877 16878 16880 16881 16882 16883 16884 16885 16887 16889 16891 16892 
##     2     1     4     1     3     4     4     4     4     4     3     1     1 
## 16893 16895 16897 16898 16899 16900 16903 16905 16906 16907 16909 16910 16912 
##     4     4     4     4     1     4     3     2     4     1     3     1     1 
## 16913 16914 16915 16916 16917 16918 16919 16921 16924 16926 16927 16929 16930 
##     4     4     1     4     3     1     1     4     4     4     4     1     4 
## 16932 16933 16934 16936 16938 16942 16943 16947 16948 16949 16950 16951 16952 
##     4     4     3     4     2     1     4     3     4     1     3     3     4 
## 16953 16954 16955 16956 16957 16959 16960 16961 16963 16965 16966 16967 16968 
##     4     1     4     4     4     4     4     4     4     4     1     4     4 
## 16969 16971 16976 16978 16979 16980 16982 16983 16985 16987 16988 16989 16990 
##     4     3     4     3     1     3     3     1     2     1     4     1     4 
## 16992 16996 16997 16998 16999 17001 17002 17004 17006 17007 17010 17011 17014 
##     2     1     4     4     4     1     3     3     4     1     4     4     4 
## 17015 17018 17019 17022 17024 17025 17026 17027 17029 17030 17031 17033 17034 
##     3     3     4     4     4     4     4     1     3     4     4     3     4 
## 17035 17038 17040 17041 17042 17043 17045 17046 17047 17048 17049 17050 17051 
##     4     4     3     3     1     2     4     3     3     4     2     2     4 
## 17052 17053 17054 17058 17059 17060 17061 17062 17063 17064 17069 17070 17071 
##     3     3     1     3     2     4     1     4     1     4     1     4     1 
## 17073 17075 17076 17078 17079 17080 17081 17083 17085 17086 17088 17090 17091 
##     2     4     4     4     4     4     4     3     1     1     2     1     1 
## 17092 17094 17095 17096 17097 17100 17101 17102 17105 17109 17110 17111 17114 
##     2     4     3     4     1     3     2     4     3     1     4     4     1 
## 17115 17117 17118 17119 17120 17122 17123 17124 17125 17126 17128 17131 17133 
##     4     4     4     4     4     4     3     4     4     1     4     2     2 
## 17134 17135 17138 17140 17142 17144 17146 17147 17148 17152 17153 17154 17155 
##     4     1     3     3     3     3     4     2     4     3     4     3     4 
## 17157 17158 17159 17160 17162 17163 17164 17165 17166 17169 17171 17172 17173 
##     4     3     3     2     1     4     1     4     4     3     4     4     2 
## 17174 17175 17176 17179 17180 17181 17183 17186 17187 17188 17189 17190 17191 
##     4     2     4     4     4     4     2     4     4     1     4     4     1 
## 17193 17194 17198 17201 17203 17204 17205 17206 17211 17212 17213 17214 17217 
##     1     4     4     3     2     2     3     4     1     4     2     1     4 
## 17218 17219 17221 17222 17223 17226 17227 17228 17229 17230 17231 17232 17233 
##     1     4     4     3     4     3     1     1     4     2     1     4     4 
## 17234 17235 17236 17237 17239 17242 17245 17247 17248 17250 17251 17252 17253 
##     4     4     1     4     3     3     4     4     4     4     4     4     4 
## 17254 17255 17256 17259 17262 17263 17265 17266 17267 17268 17272 17274 17277 
##     4     4     4     4     1     4     4     4     4     4     2     4     3 
## 17278 17279 17282 17284 17286 17287 17288 17289 17290 17291 17293 17295 17297 
##     4     4     3     1     4     1     1     4     4     3     1     4     4 
## 17298 17299 17301 17302 17303 17309 17311 17312 17314 17320 17321 17323 17324 
##     4     4     4     1     4     4     3     4     1     3     3     1     4 
## 17325 17329 17330 17331 17333 17334 17337 17339 17341 17343 17344 17345 17347 
##     4     4     4     4     3     4     2     4     4     4     4     4     4 
## 17348 17349 17350 17351 17356 17357 17358 17359 17360 17361 17362 17364 17365 
##     1     4     2     4     4     4     4     4     4     4     4     1     2 
## 17367 17368 17370 17371 17372 17373 17374 17375 17376 17379 17382 17383 17384 
##     4     1     4     4     1     4     4     4     4     3     4     4     4 
## 17385 17386 17387 17388 17391 17392 17394 17397 17398 17400 17403 17405 17406 
##     4     2     3     4     4     4     4     3     4     2     4     3     3 
## 17408 17409 17410 17411 17412 17414 17415 17418 17420 17422 17423 17425 17427 
##     4     3     1     4     1     3     3     4     4     1     3     3     4 
## 17429 17430 17431 17432 17433 17434 17436 17438 17440 17442 17446 17447 17449 
##     4     4     3     4     4     1     4     3     4     2     4     4     1 
## 17451 17453 17454 17455 17456 17457 17458 17459 17460 17461 17462 17463 17464 
##     1     4     4     4     4     2     4     3     1     4     3     2     4 
## 17466 17468 17469 17470 17472 17475 17480 17481 17483 17486 17489 17490 17491 
##     3     4     2     1     4     4     3     4     4     3     4     1     1 
## 17492 17495 17496 17498 17499 17500 17501 17502 17503 17504 17505 17506 17507 
##     3     4     4     4     3     3     4     4     4     1     3     4     4 
## 17508 17509 17510 17512 17513 17514 17515 17516 17517 17519 17520 17521 17522 
##     3     2     4     1     3     4     4     1     4     1     3     4     1 
## 17523 17524 17525 17526 17527 17528 17530 17531 17534 17535 17536 17537 17538 
##     4     4     3     4     4     2     1     4     4     4     4     3     4 
## 17540 17542 17545 17548 17549 17550 17551 17552 17554 17555 17556 17557 17560 
##     4     4     4     4     4     4     4     4     2     4     4     4     4 
## 17561 17562 17564 17566 17567 17569 17571 17572 17573 17574 17578 17579 17580 
##     4     1     4     3     2     3     2     4     4     4     4     4     4 
## 17582 17584 17585 17588 17589 17590 17591 17593 17594 17595 17596 17600 17601 
##     4     3     4     3     2     3     1     2     3     4     2     4     4 
## 17603 17604 17608 17609 17612 17614 17615 17616 17618 17619 17620 17621 17623 
##     3     4     4     1     1     3     4     4     4     4     4     3     3 
## 17624 17625 17628 17629 17630 17631 17633 17634 17636 17637 17639 17640 17642 
##     3     2     4     1     4     4     2     1     4     4     4     3     3 
## 17643 17644 17646 17647 17648 17650 17651 17653 17654 17655 17656 17658 17660 
##     4     1     3     4     2     4     1     4     4     1     2     4     4 
## 17663 17664 17666 17667 17668 17669 17670 17671 17673 17674 17676 17678 17680 
##     1     4     3     2     4     2     4     2     1     4     1     4     4 
## 17682 17684 17685 17691 17692 17693 17694 17695 17696 17697 17698 17700 17701 
##     2     4     2     4     4     4     4     3     1     3     4     2     3 
## 17702 17703 17704 17705 17707 17708 17709 17711 17712 17714 17715 17716 17718 
##     2     4     3     1     4     4     4     4     3     4     3     1     4 
## 17720 17722 17723 17724 17725 17731 17732 17733 17734 17736 17737 17738 17739 
##     4     2     2     3     1     4     4     3     4     4     4     2     2 
## 17742 17744 17746 17747 17749 17750 17752 17754 17758 17759 17760 17761 17763 
##     4     2     4     4     3     1     4     2     2     4     4     3     4 
## 17764 17765 17767 17768 17769 17770 17771 17772 17774 17775 17777 17779 17781 
##     3     4     4     3     1     1     4     4     4     4     4     4     4 
## 17783 17785 17786 17787 17788 17789 17791 17793 17795 17796 17797 17799 17800 
##     4     4     4     2     3     4     4     3     4     4     4     1     1 
## 17802 17805 17806 17812 17813 17816 17817 17819 17824 17827 17828 17830 17831 
##     3     3     3     4     2     4     4     2     4     2     2     4     4 
## 17832 17835 17836 17837 17838 17839 17843 17848 17849 17852 17854 17855 17856 
##     4     4     4     1     2     3     4     1     4     4     4     4     2 
## 17859 17860 17861 17862 17863 17864 17866 17867 17869 17871 17873 17874 17877 
##     4     4     1     3     2     4     3     1     1     4     2     1     4 
## 17878 17879 17880 17881 17883 17884 17885 17886 17887 17888 17889 17890 17891 
##     3     4     3     4     4     4     4     4     4     1     4     4     4 
## 17892 17893 17894 17895 17896 17897 17898 17899 17900 17901 17904 17905 17906 
##     4     4     1     4     4     4     4     4     4     4     4     4     4 
## 17908 17911 17912 17913 17914 17917 17921 17923 17924 17925 17926 17928 17929 
##     4     3     1     4     3     4     4     4     2     4     4     4     4 
## 17930 17931 17932 17934 17935 17936 17937 17939 17940 17941 17942 17946 17947 
##     2     4     3     3     4     3     2     4     1     4     4     4     4 
## 17948 17950 17951 17955 17956 17957 17958 17960 17962 17964 17966 17967 17968 
##     3     4     3     4     4     4     3     4     4     4     1     4     4 
## 17969 17970 17972 17973 17974 17976 17977 17978 17979 17980 17984 17985 17986 
##     4     3     4     3     4     3     4     4     4     4     4     3     4 
## 17987 17988 17990 17991 17994 17995 17997 17999 18001 18004 18005 18006 18008 
##     4     1     4     4     4     4     1     4     4     4     4     3     1 
## 18009 18010 18011 18013 18014 18015 18016 18017 18018 18019 18022 18024 18027 
##     4     4     4     4     4     4     1     4     4     4     3     4     4 
## 18030 18032 18033 18034 18035 18036 18037 18040 18042 18043 18044 18045 18048 
##     4     4     4     4     4     4     1     4     4     4     1     4     4 
## 18050 18053 18055 18056 18058 18059 18061 18062 18064 18066 18067 18068 18069 
##     4     4     2     3     4     4     1     4     3     4     3     4     2 
## 18071 18072 18074 18075 18077 18078 18080 18081 18082 18084 18085 18086 18088 
##     4     4     3     1     1     4     3     4     3     4     3     4     4 
## 18093 18094 18095 18096 18097 18099 18101 18104 18105 18106 18108 18110 18112 
##     2     2     4     4     2     4     4     3     4     3     4     4     4 
## 18113 18114 18116 18117 18119 18120 18121 18122 18123 18125 18126 18127 18129 
##     4     4     1     4     4     4     3     1     4     4     4     4     4 
## 18130 18135 18136 18138 18142 18143 18145 18146 18147 18149 18150 18151 18154 
##     3     1     4     4     3     3     2     4     4     4     4     3     4 
## 18155 18156 18158 18159 18160 18161 18164 18165 18167 18168 18169 18170 18171 
##     4     3     4     3     4     2     3     4     3     1     4     4     1 
## 18173 18174 18176 18177 18178 18179 18180 18181 18183 18184 18185 18188 18189 
##     2     4     3     1     2     1     1     3     4     4     4     3     3 
## 18190 18191 18193 18196 18200 18202 18203 18204 18205 18209 18210 18211 18212 
##     4     4     4     3     4     3     4     3     4     4     2     1     4 
## 18213 18215 18216 18217 18218 18219 18220 18221 18222 18224 18226 18227 18228 
##     4     4     3     4     3     1     4     1     3     4     1     4     3 
## 18230 18231 18232 18233 18235 18236 18237 18239 18240 18242 18245 18246 18248 
##     2     2     4     3     3     1     1     1     3     2     1     4     3 
## 18249 18250 18252 18255 18257 18259 18260 18261 18262 18263 18265 18268 18269 
##     4     3     4     4     1     3     2     4     4     3     3     4     4 
## 18270 18272 18273 18274 18276 18277 18278 18280 18281 18282 18287 
##     4     2     4     4     3     4     4     4     4     4     3 
## 
## Within cluster sum of squares by cluster:
## [1] 493.9095 407.2512 582.7638 790.6125
##  (between_SS / total_SS =  69.8 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
# 4. Revisar la asignación de grupos
asignacion <- cbind(df, cluster=segmentos$cluster)
asignacion
##       TicketPromedio     Visitas cluster
## 12347    1.994078480  1.69154684       2
## 12350    0.251187001 -0.82722356       3
## 12352    0.120182490  2.11134191       1
## 12353   -1.269196396 -0.82722356       4
## 12355    1.025628421 -0.82722356       3
## 12358    1.797777494 -0.40742849       3
## 12361   -0.644067281 -0.82722356       4
## 12362    1.417328500  2.95093205       2
## 12363   -0.110632031 -0.40742849       4
## 12364    0.213239371  0.43216164       2
## 12370   -0.103197393 -0.82722356       4
## 12373    0.438292048 -0.82722356       3
## 12374    2.782247428 -0.82722356       3
## 12379    0.819441137 -0.40742849       3
## 12380    2.399812765  0.43216164       2
## 12381    0.465936509  0.85195671       2
## 12383    0.472441817  0.85195671       2
## 12384   -0.007569367 -0.40742849       4
## 12386   -0.575606660 -0.40742849       4
## 12388    1.050679019  1.27175178       2
## 12390    1.585952277 -0.82722356       3
## 12393    0.630663296  0.43216164       2
## 12394    0.540394405 -0.82722356       3
## 12399   -0.103429726  0.43216164       4
## 12401   -1.298315393 -0.82722356       4
## 12402   -0.422886812 -0.82722356       4
## 12407    0.295943519  0.85195671       2
## 12408    1.758621736  0.85195671       2
## 12410    0.327175193 -0.40742849       3
## 12413   -0.254987912  0.01236657       4
## 12414   -0.659122422  0.01236657       4
## 12417    0.691413923  2.53113698       1
## 12418    2.321609671 -0.82722356       3
## 12421   -0.570588279  0.43216164       4
## 12422   -0.161104960  0.01236657       4
## 12423   -0.380672010  2.11134191       1
## 12425    2.994568287 -0.82722356       3
## 12426    1.789723304 -0.82722356       3
## 12427   -0.115175421  0.01236657       4
## 12429    0.892920139 -0.82722356       3
## 12430   -0.232064446 -0.82722356       4
## 12434    0.676634139 -0.40742849       3
## 12436    1.332988732 -0.82722356       3
## 12441   -0.745364219 -0.82722356       4
## 12442   -0.754595561 -0.82722356       4
## 12445   -0.994114803 -0.82722356       4
## 12447    1.131510052 -0.82722356       3
## 12448    0.963982884 -0.82722356       3
## 12450   -1.207612814 -0.40742849       4
## 12452   -0.486793718 -0.40742849       4
## 12453    2.560199584 -0.82722356       3
## 12455   -0.631118621  0.43216164       4
## 12457    0.621097396  0.85195671       2
## 12458    1.114224519 -0.40742849       3
## 12461    0.740881799 -0.40742849       3
## 12462    1.864472389 -0.40742849       3
## 12463    0.262307979  0.43216164       2
## 12464   -0.881936963  2.11134191       1
## 12465    0.478532024 -0.40742849       3
## 12468    0.439345288 -0.40742849       3
## 12473    3.059683322  0.85195671       2
## 12475    2.661124789 -0.82722356       3
## 12476    2.018614394  3.37072712       2
## 12478    2.398496215 -0.82722356       3
## 12479    1.445685447 -0.82722356       3
## 12481    1.646618920  2.95093205       2
## 12483    0.103872754  2.11134191       1
## 12484    2.869129429  1.27175178       2
## 12488    0.861364233  0.01236657       3
## 12489    0.254470632 -0.82722356       3
## 12490    1.536096836  2.95093205       2
## 12491    1.031823952 -0.82722356       3
## 12492   -1.005235782 -0.40742849       4
## 12493   -0.476973800 -0.40742849       4
## 12494   -0.717705597  1.69154684       1
## 12498   -0.986886683  0.01236657       4
## 12500    0.577533799  3.37072712       1
## 12502    2.793671987  0.85195671       2
## 12504   -0.327320740 -0.40742849       4
## 12506   -1.365227132 -0.82722356       4
## 12507    0.874065072  0.01236657       3
## 12508   -0.586851549 -0.40742849       4
## 12509   -0.727087401 -0.82722356       4
## 12510    1.223172938 -0.40742849       3
## 12512   -1.393014090 -0.40742849       4
## 12513    1.972863211 -0.82722356       3
## 12515    0.556626697 -0.82722356       3
## 12516    2.243855752 -0.40742849       3
## 12517    1.280686056  0.85195671       2
## 12518    0.728106614  0.85195671       2
## 12519    0.291086223 -0.82722356       3
## 12520    1.443529402  0.85195671       2
## 12521    1.894737560 -0.82722356       3
## 12522   -1.223597285 -0.40742849       4
## 12523   -0.812546308  3.37072712       1
## 12524    1.653328681  2.11134191       2
## 12526    0.898537421  0.01236657       3
## 12527   -1.100450773  0.01236657       4
## 12528    0.175890643  1.27175178       1
## 12530    0.754078281  0.43216164       2
## 12531   -1.044794250 -0.82722356       4
## 12532    0.346784049 -0.82722356       3
## 12535    0.398485759 -0.40742849       3
## 12538    0.434264952 -0.82722356       3
## 12541    0.205711800  0.01236657       4
## 12544    0.488475852 -0.82722356       3
## 12545    1.278375123 -0.40742849       3
## 12546    1.777456151 -0.40742849       3
## 12547   -1.176882978 -0.40742849       4
## 12548   -1.230784101 -0.82722356       4
## 12551   -0.779749418 -0.82722356       4
## 12552   -0.464334916 -0.40742849       4
## 12553    0.466964967  2.95093205       1
## 12556    0.049553432 -0.40742849       4
## 12558   -0.148053040 -0.82722356       4
## 12559   -0.080552726 -0.40742849       4
## 12560    2.586509940  0.01236657       3
## 12561   -0.340796021 -0.82722356       4
## 12562    1.526528281  1.69154684       2
## 12564    1.010139592 -0.82722356       3
## 12565   -0.916546750 -0.82722356       4
## 12566    0.358059917 -0.82722356       3
## 12571   -0.210968661 -0.40742849       4
## 12572    1.340423369 -0.40742849       3
## 12573   -0.825968082 -0.82722356       4
## 12574   -0.467184861 -0.82722356       4
## 12576   -0.190145480  0.85195671       1
## 12577   -0.462125177  0.01236657       4
## 12579    0.908037235 -0.82722356       3
## 12580    0.754883700 -0.82722356       3
## 12581   -0.595680181 -0.82722356       4
## 12584   -0.211034059  2.53113698       1
## 12586   -0.600450740 -0.82722356       4
## 12589    0.182664424 -0.40742849       4
## 12591    0.985047690 -0.82722356       3
## 12592   -0.465016425 -0.40742849       4
## 12593   -0.957148133  0.01236657       4
## 12594    0.247605983  2.95093205       1
## 12596    0.094656901 -0.40742849       4
## 12598    0.520599682  2.11134191       1
## 12599   -0.906687005  1.69154684       1
## 12600   -0.210355304  2.95093205       1
## 12601   -1.105560021  0.85195671       1
## 12602   -0.871938925 -0.82722356       4
## 12603    2.759138096 -0.82722356       3
## 12604   -1.033208606 -0.40742849       4
## 12609    0.506546151  0.01236657       3
## 12610    0.780954496  0.85195671       2
## 12612    2.541303213 -0.82722356       3
## 12613    2.323443548  0.85195671       2
## 12614    0.134711011 -0.82722356       4
## 12615    1.728186188  0.43216164       2
## 12616    0.389037573 -0.40742849       3
## 12617    0.382098578 -0.82722356       3
## 12618   -0.722069021 -0.82722356       4
## 12619    0.686003159  2.53113698       1
## 12620    0.945520200  0.01236657       3
## 12622   -0.704783489 -0.82722356       4
## 12623    0.069657932 -0.82722356       4
## 12624    0.165471824 -0.40742849       4
## 12626    2.736889254  2.53113698       2
## 12627    2.143240323  1.69154684       2
## 12628   -0.196419489  0.01236657       4
## 12633    1.531152802  0.43216164       2
## 12637    2.843010101  2.11134191       2
## 12638    2.340877773 -0.82722356       3
## 12639    1.191049108 -0.82722356       3
## 12640    0.605117055  0.01236657       3
## 12641   -0.668849407 -0.82722356       4
## 12642    0.271962682  0.01236657       3
## 12643    1.633038315  1.27175178       2
## 12644    1.140307706 -0.82722356       3
## 12645    0.928947154  0.43216164       2
## 12646    2.351998752 -0.40742849       3
## 12648    0.149890063 -0.82722356       4
## 12649   -0.532940100  0.01236657       4
## 12650    0.127524195 -0.82722356       4
## 12651   -1.114308111 -0.82722356       4
## 12654   -1.074681493  0.85195671       1
## 12657    0.724494619  0.43216164       2
## 12658    2.429845604 -0.82722356       3
## 12659   -1.252592371 -0.82722356       4
## 12660   -0.302073950 -0.82722356       4
## 12662    0.347713379  3.37072712       1
## 12665   -1.430280211 -0.82722356       4
## 12670    1.891825660  0.85195671       2
## 12672   -0.421028152 -0.82722356       4
## 12673    0.070649217 -0.40742849       4
## 12674    1.231629838  0.43216164       2
## 12676   -0.445820603  1.27175178       1
## 12679   -0.096661108  0.43216164       4
## 12680   -0.484207083  0.43216164       4
## 12684    0.200587211  1.69154684       1
## 12685    1.135784968  1.27175178       2
## 12686   -1.268329021 -0.82722356       4
## 12689    2.044204754 -0.40742849       3
## 12690    0.589524968 -0.82722356       3
## 12691   -0.751043456  1.27175178       1
## 12693   -0.494894375  0.43216164       4
## 12694    0.873435193 -0.40742849       3
## 12695   -0.918993985  0.43216164       4
## 12697    0.156994272  0.01236657       4
## 12701    0.650519974 -0.40742849       3
## 12702   -0.463777319 -0.82722356       4
## 12703   -0.063855769 -0.82722356       4
## 12705    2.907479768  2.53113698       2
## 12707    1.917908847 -0.82722356       3
## 12708   -0.139806788  2.95093205       1
## 12710    0.552331128  0.01236657       3
## 12715    0.371752041 -0.82722356       3
## 12716    1.442866480 -0.40742849       3
## 12717    1.373135775 -0.40742849       3
## 12718   -0.344513340 -0.82722356       4
## 12719    0.177305289 -0.40742849       4
## 12721    0.922090766  1.27175178       2
## 12722   -0.275386699  0.43216164       4
## 12723   -0.922159902  0.85195671       1
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## 15057    2.793523295 -0.40742849       3
## 15058   -0.623740306  3.37072712       1
## 15059   -0.899722441  2.53113698       1
## 15060   -1.351147787  0.43216164       4
## 15062   -0.290519284  0.43216164       4
## 15063    0.476704342 -0.82722356       3
## 15065    3.070974678  0.43216164       2
## 15067    1.782639746  0.01236657       3
## 15068   -0.106419070 -0.40742849       4
## 15070   -1.162633256 -0.82722356       4
## 15071    1.221624055 -0.40742849       3
## 15073    0.334227773  0.01236657       3
## 15074    2.819048884 -0.82722356       3
## 15075    2.968732922 -0.82722356       3
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## 15081   -1.195097840  0.85195671       1
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## 15087    0.081057709 -0.82722356       4
## 15088    1.773026346 -0.40742849       3
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## 15090    0.541881332 -0.82722356       3
## 15091    1.157655194 -0.82722356       3
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## 15096   -0.461361061 -0.82722356       4
## 15097   -0.283611267 -0.82722356       4
## 15099    0.722543027 -0.82722356       3
## 15100   -0.011503529  0.01236657       4
## 15101   -0.836965150 -0.40742849       4
## 15103    0.358245782 -0.40742849       3
## 15104    1.362169684 -0.40742849       3
## 15105    0.214128872  1.69154684       1
## 15106   -0.057945232  0.85195671       1
## 15107   -1.490686642  1.27175178       1
## 15109    1.183924247 -0.82722356       3
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## 15111    1.416525146  0.01236657       3
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## 15116    0.274652576  0.43216164       2
## 15117    0.102221645  0.85195671       1
## 15118   -0.303932609 -0.82722356       4
## 15119   -0.170109132 -0.82722356       4
## 15120    0.402481876 -0.82722356       3
## 15121   -0.402689379 -0.40742849       4
## 15122    1.553446389  0.01236657       3
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## 15128    0.457807971  0.43216164       2
## 15129    0.121080842  3.37072712       1
## 15130    0.224608171 -0.82722356       3
## 15132   -0.608839490  0.85195671       1
## 15133    0.208272620  0.01236657       4
## 15134   -0.745681740  2.11134191       1
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## 15136    0.172348864  0.43216164       2
## 15139   -1.266222540 -0.40742849       4
## 15140    0.263091272  1.69154684       1
## 15142    1.269360624 -0.82722356       3
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## 15145    0.029898109  0.43216164       4
## 15146    2.290632014 -0.40742849       3
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## 15149    1.406034046 -0.82722356       3
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## 15165    1.201271735 -0.82722356       3
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## 15179    0.914046901  0.85195671       2
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## 15192    0.336107084  0.01236657       3
## 15193    1.272954033 -0.82722356       3
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## 15214   -0.533910734  2.11134191       1
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## 15216   -1.222110357 -0.82722356       4
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## 15227   -0.309632498  0.85195671       1
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## 15281   -0.215164413  2.53113698       1
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## 15287   -0.312947108 -0.40742849       4
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## 15292   -0.699579242 -0.82722356       4
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## 15326    0.110610394 -0.82722356       4
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## 15329    0.347217737  0.01236657       3
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## 15348   -0.841456910 -0.82722356       4
## 15349   -0.352846330 -0.40742849       4
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## 15351   -0.085752547  1.69154684       1
## 15353    0.586427203 -0.40742849       3
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## 15356   -0.106604936  2.95093205       1
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## 15376    0.726508167  0.01236657       3
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## 15397   -1.238218739 -0.82722356       4
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## 15408   -0.165276618 -0.82722356       4
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## 15412   -0.640164096 -0.82722356       4
## 15414   -0.220292936  0.01236657       4
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## 15422   -1.517946980 -0.40742849       4
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## 15426   -0.027128659  0.85195671       1
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## 15432   -0.759985673 -0.82722356       4
## 15433   -0.168560249 -0.40742849       4
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## 15436    0.497624586  0.01236657       3
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## 15440   -1.028231529  0.01236657       4
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## 15445   -1.117405877 -0.82722356       4
## 15447   -0.859238085 -0.82722356       4
## 15448    1.243958946 -0.82722356       3
## 15449    0.191957721  0.01236657       4
## 15450    0.842488514 -0.82722356       3
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## 15453   -0.591785847  1.69154684       1
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## 15456   -0.897010175  0.01236657       4
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## 15466    0.251992420 -0.82722356       3
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## 15473   -0.252952237  1.69154684       1
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## 15504   -1.493288765 -0.82722356       4
## 15505    2.653764498  0.85195671       2
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## 15514    0.510869881  3.37072712       1
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## 15518   -0.316284950  2.11134191       1
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## 15585    1.000226742 -0.82722356       3
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## 15594    0.374825024  0.85195671       2
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## 15599    0.539093343 -0.40742849       3
## 15602   -0.927154877  2.53113698       1
## 15603   -1.520239326 -0.82722356       4
## 15604   -0.479947655 -0.82722356       4
## 15605   -0.335864378  0.85195671       1
## 15606    0.189617187  2.53113698       1
## 15607   -1.171554821 -0.82722356       4
## 15608   -0.126616502  0.43216164       4
## 15609    0.028643514 -0.82722356       4
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## 15619    0.263578063 -0.82722356       3
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## 15622    0.733034126  2.53113698       1
## 15623    0.044442119 -0.82722356       4
## 15624   -0.909654222  0.43216164       4
## 15625    0.555790300  0.43216164       2
## 15626    0.272871360 -0.40742849       3
## 15628    0.155252639  2.53113698       1
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## 15632    0.723681455  2.11134191       1
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## 15636    0.424537968 -0.40742849       3
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## 15639    0.814484712 -0.82722356       3
## 15641    1.102453010  0.43216164       2
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## 15644   -0.561356937  0.43216164       4
## 15645    1.971128462 -0.82722356       3
## 15646   -0.896142800  0.01236657       4
## 15648    0.215717584 -0.40742849       3
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## 15651   -0.485874714  0.01236657       4
## 15652    0.271880075 -0.82722356       3
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## 15654    1.037183087 -0.40742849       3
## 15655    1.653049882 -0.82722356       3
## 15656   -0.661259881  0.43216164       4
## 15657   -1.634732746 -0.82722356       4
## 15658   -0.551629953  0.85195671       1
## 15659    0.078021899 -0.82722356       4
## 15660   -0.718578872  2.53113698       1
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## 15663   -0.964747984 -0.82722356       4
## 15664    0.573540497 -0.82722356       3
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## 15668   -1.347755733 -0.82722356       4
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## 15670   -0.748461985 -0.82722356       4
## 15671    0.531163063  1.69154684       1
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## 15674    1.210998719  0.85195671       2
## 15675   -1.152121505  0.01236657       4
## 15677    2.251290390 -0.82722356       3
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## 15679   -0.610487501  0.43216164       4
## 15680    0.933686735  0.01236657       3
## 15681   -0.053434885  0.85195671       1
## 15683   -0.620214485 -0.82722356       4
## 15687    0.239828526  2.53113698       1
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## 15690   -1.077878387 -0.40742849       4
## 15691   -0.973049996 -0.82722356       4
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## 15695   -0.550576713 -0.40742849       4
## 15696    0.298629282  2.11134191       1
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## 15700    0.337552708 -0.40742849       3
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## 15703   -0.510243804 -0.82722356       4
## 15704    1.731949974  0.43216164       2
## 15705   -0.934018149 -0.82722356       4
## 15706   -0.177915502  0.43216164       4
## 15707   -0.356006051  0.43216164       4
## 15708    1.157009089  1.69154684       2
## 15709   -0.995044133 -0.82722356       4
## 15712   -0.491830685  0.85195671       1
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## 15714   -0.795609978 -0.40742849       4
## 15716   -0.087693076  0.43216164       4
## 15717   -0.889410323 -0.82722356       4
## 15720    1.888851805 -0.82722356       3
## 15721    1.321031356 -0.82722356       3
## 15722    0.933389350  0.85195671       2
## 15723   -0.562286267 -0.82722356       4
## 15724   -1.144511327 -0.40742849       4
## 15725    0.752095711 -0.82722356       3
## 15727    2.763174042  1.69154684       2
## 15729   -1.293978521 -0.82722356       4
## 15730    0.494217044  0.01236657       3
## 15732   -0.909483845 -0.40742849       4
## 15733   -0.815063947 -0.82722356       4
## 15734    2.328703554 -0.40742849       3
## 15737   -0.887303842  2.11134191       1
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## 15740   -0.861034789 -0.82722356       4
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## 15746   -0.600822472 -0.82722356       4
## 15747    0.190966436  0.01236657       4
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## 15750    0.088771146  2.11134191       1
## 15752    0.513682814  1.69154684       1
## 15753   -1.329912603 -0.82722356       4
## 15754   -0.873570415  0.01236657       4
## 15755    0.620698817  1.27175178       2
## 15756   -0.995106088  0.43216164       4
## 15757    0.392507071 -0.40742849       3
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## 15759   -1.298026268  0.01236657       4
## 15762   -0.012277971 -0.40742849       4
## 15763    1.546424787 -0.40742849       3
## 15764    1.566260813  1.27175178       2
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## 15773    2.117776689 -0.82722356       3
## 15774   -0.142848794 -0.82722356       4
## 15775   -1.170687447 -0.82722356       4
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## 16212    0.317912873 -0.40742849       3
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## 16214    0.374168298  0.01236657       3
## 16215   -0.319111661 -0.82722356       4
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## 16218    0.909577268  1.69154684       2
## 16221   -0.034509602  0.01236657       4
## 16224    0.185669256  0.43216164       2
## 16225   -0.462141698  0.85195671       1
## 16226   -1.293730700  0.01236657       4
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## 16229    1.310003310 -0.40742849       3
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## 16232   -0.285841658  0.43216164       4
## 16233   -0.712259430  0.01236657       4
## 16235   -0.745909426  0.85195671       1
## 16236    0.857109968 -0.82722356       3
## 16239   -0.537504142 -0.40742849       4
## 16242    1.368515679  1.69154684       2
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## 16244    2.896524004 -0.40742849       3
## 16245    1.098859601  0.01236657       3
## 16247   -1.110838614 -0.82722356       4
## 16248   -0.873054120 -0.82722356       4
## 16249    0.409879341  0.85195671       2
## 16250   -0.614204820 -0.40742849       4
## 16255    0.208368134  2.11134191       1
## 16256    2.841104976 -0.82722356       3
## 16257   -1.529718489 -0.82722356       4
## 16261   -0.663846515  0.43216164       4
## 16265    1.929074572  2.53113698       2
## 16266   -1.057760612  1.69154684       1
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## 16271   -0.049618438  0.85195671       1
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## 16274    0.397091764 -0.82722356       3
## 16275    1.648093457 -0.82722356       3
## 16278    1.688426366 -0.82722356       3
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## 16283    0.125801837  0.85195671       1
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## 16292    0.052000667 -0.82722356       4
## 16293   -0.427229879  2.95093205       1
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## 16297    0.049832231 -0.82722356       4
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## 16302   -0.375676863 -0.82722356       4
## 16305    0.417351152 -0.82722356       3
## 16306   -1.167723918  1.27175178       1
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## 16315   -0.418116252 -0.82722356       4
## 16316    0.455414947  2.11134191       1
## 16317    0.950146197  0.01236657       3
## 16318    0.212464930 -0.82722356       3
## 16319    0.684874196 -0.82722356       3
## 16320    1.396307062 -0.40742849       3
## 16321   -1.357606628  0.85195671       1
## 16322   -0.808403751 -0.40742849       4
## 16323   -0.535025929 -0.82722356       4
## 16324   -0.935298559  0.01236657       4
## 16325   -0.593387835  0.01236657       4
## 16327    2.148898908  1.27175178       2
## 16330   -1.300359918  0.01236657       4
## 16332   -0.410495749  1.69154684       1
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## 16338   -0.489798550 -0.82722356       4
## 16339   -1.139400014 -0.82722356       4
## 16340    1.581181718 -0.82722356       3
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## 16342   -1.321223370  0.43216164       4
## 16343   -0.672938457 -0.40742849       4
## 16344   -1.194230466 -0.82722356       4
## 16345    1.744372014 -0.82722356       3
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## 16348   -0.520023893  1.69154684       1
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## 16350   -0.091317462  0.43216164       4
## 16351   -0.867106410 -0.82722356       4
## 16352   -0.288939424 -0.40742849       4
## 16354   -0.594503030 -0.40742849       4
## 16356   -1.383256128  0.01236657       4
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## 16358    1.319761272  0.43216164       2
## 16359   -0.615278712  2.53113698       1
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## 16361   -0.431777399  0.43216164       4
## 16362   -0.910140571  0.85195671       1
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## 16364    0.369645560 -0.40742849       3
## 16365   -0.760185307  2.53113698       1
## 16366    0.207198728 -0.82722356       3
## 16367    0.671522826 -0.40742849       3
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## 16369    1.387984398  0.01236657       3
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## 16372   -0.680837760 -0.40742849       4
## 16374   -0.355262587 -0.40742849       4
## 16376    1.236927018 -0.40742849       3
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## 16378   -1.071042651  0.01236657       4
## 16379    1.520961153  0.43216164       2
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## 16566   -1.058969625  0.85195671       1
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## 16765   -1.609950620 -0.82722356       4
## 16766    1.728201677 -0.40742849       3
## 16767    1.322563342  3.37072712       1
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## 16794   -1.063064872  2.95093205       1
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## 16806   -0.579184579  0.43216164       4
## 16807    0.495683320  0.01236657       3
## 16808   -0.927141109 -0.40742849       4
## 16809   -0.687200570  0.85195671       1
## 16810    0.097166091 -0.82722356       4
## 16811   -0.125904016 -0.40742849       4
## 16812    1.149229271 -0.82722356       3
## 16813   -0.771707618  2.95093205       1
## 16816   -1.174621609  0.43216164       4
## 16817   -0.715901025  2.53113698       1
## 16818    0.065980039  3.37072712       1
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## 16823    0.399755843 -0.82722356       3
## 16824   -0.393643904 -0.40742849       4
## 16825    0.580727314 -0.40742849       3
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## 16828   -1.422535797 -0.40742849       4
## 16829   -0.598715992 -0.82722356       4
## 16830    0.198586939 -0.82722356       3
## 16832   -1.409318663  0.01236657       4
## 16833   -0.106713357  0.43216164       4
## 16834    0.741005710 -0.82722356       3
## 16835   -1.260367763 -0.40742849       4
## 16836   -1.040364445 -0.40742849       4
## 16837   -0.034607229  3.37072712       1
## 16838    0.003520634 -0.40742849       4
## 16841    0.110156055  1.27175178       1
## 16842    0.790177577  0.01236657       3
## 16846   -0.492772405 -0.82722356       4
## 16847   -0.622135100 -0.82722356       4
## 16848   -0.077052251 -0.82722356       4
## 16849   -1.048821345 -0.82722356       4
## 16850    0.238857893 -0.82722356       3
## 16851   -1.113378782  0.01236657       4
## 16852   -1.371701462 -0.40742849       4
## 16855   -0.803292437 -0.40742849       4
## 16856   -1.601276876 -0.82722356       4
## 16858    0.507000490 -0.82722356       3
## 16859    0.495941467 -0.40742849       3
## 16861   -1.282330922 -0.40742849       4
## 16863   -0.263042102 -0.40742849       4
## 16866   -1.391578792  0.01236657       4
## 16869   -0.542119813  0.43216164       4
## 16871    1.083391425  1.27175178       2
## 16872   -0.416236941  0.01236657       4
## 16875    0.775985680  0.85195671       2
## 16877   -0.939057181  1.27175178       1
## 16878   -1.738198120 -0.82722356       4
## 16880   -0.476097575  1.69154684       1
## 16881    0.855870861 -0.82722356       3
## 16882   -0.364400996  0.01236657       4
## 16883   -0.963353990 -0.40742849       4
## 16884   -0.489055086 -0.40742849       4
## 16885   -0.846847023  0.01236657       4
## 16887   -0.613213535 -0.82722356       4
## 16889    1.439634478  0.01236657       3
## 16891   -0.817294338  0.85195671       1
## 16892   -1.169398776  0.85195671       1
## 16893   -0.916484795 -0.82722356       4
## 16895   -0.462909944 -0.82722356       4
## 16897   -0.922928148 -0.40742849       4
## 16898   -0.769815916  0.01236657       4
## 16899   -0.497274491  1.27175178       1
## 16900    0.011440589  0.01236657       4
## 16903    0.491821439 -0.82722356       3
## 16905    0.925287365  1.69154684       2
## 16906   -0.922602882  0.43216164       4
## 16907   -0.604230015  0.85195671       1
## 16909    0.528375074 -0.82722356       3
## 16910   -0.651145676  2.11134191       1
## 16912   -0.370067091  3.37072712       1
## 16913   -1.117777609 -0.82722356       4
## 16914   -0.529078219 -0.82722356       4
## 16915   -1.178659031  1.27175178       1
## 16916   -0.035480236 -0.40742849       4
## 16917    0.605075752 -0.82722356       3
## 16918   -0.716947382  1.27175178       1
## 16919   -0.358199832  3.37072712       1
## 16921   -0.768659417 -0.82722356       4
## 16924   -0.071909960  0.01236657       4
## 16926   -0.394077591 -0.82722356       4
## 16927   -0.699104251  0.01236657       4
## 16929   -0.674080205  1.69154684       1
## 16930   -1.034695533  0.01236657       4
## 16932   -0.817294338 -0.82722356       4
## 16933   -0.075844122 -0.40742849       4
## 16934    1.125159632 -0.40742849       3
## 16936   -0.193156509 -0.82722356       4
## 16938    2.417733340  0.43216164       2
## 16942   -0.498479178  2.53113698       1
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## 16947    0.697760901 -0.82722356       3
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## 16949   -0.492410999  1.27175178       1
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## 16951    0.818181379  0.01236657       3
## 16952   -1.301382181 -0.40742849       4
## 16953   -1.691731634 -0.82722356       4
## 16954   -0.385245517  2.53113698       1
## 16955   -1.017239624  0.43216164       4
## 16956    0.092209666 -0.82722356       4
## 16957   -0.529945593 -0.40742849       4
## 16959   -1.093553081 -0.82722356       4
## 16960   -0.773450628  0.01236657       4
## 16961   -0.369791108 -0.82722356       4
## 16963   -1.135682695 -0.82722356       4
## 16965   -0.574119732 -0.82722356       4
## 16966    0.086713344  1.69154684       1
## 16967    0.155899728 -0.82722356       4
## 16968   -0.459347514 -0.40742849       4
## 16969   -0.477386836  0.01236657       4
## 16971    0.392507071 -0.82722356       3
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## 17466    0.543863902 -0.40742849       3
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## 17504    0.242533908  2.53113698       1
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## 17516   -0.868865941  0.85195671       1
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## 17562   -0.827207188  1.69154684       1
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## 17988   -1.642592220  1.69154684       1
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## 17995   -1.349118750 -0.82722356       4
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## 18006    0.934430199 -0.82722356       3
## 18008   -0.363829630  2.53113698       1
## 18009   -0.226240646 -0.82722356       4
## 18010   -0.737619805 -0.82722356       4
## 18011   -1.183760018 -0.82722356       4
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## 18015   -1.076949057 -0.82722356       4
## 18016    0.017689815  0.85195671       1
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## 18018   -1.442237586 -0.40742849       4
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## 18022    2.318697771 -0.82722356       3
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## 18043   -0.665111436  0.01236657       4
## 18044   -0.526600007  2.95093205       1
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## 18048   -1.286884638 -0.40742849       4
## 18050   -1.359651153 -0.82722356       4
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## 18055    2.382567504  2.95093205       2
## 18056    0.432406293 -0.82722356       3
## 18058   -0.766367070 -0.82722356       4
## 18059   -1.187704506  0.01236657       4
## 18061   -0.507511574  2.95093205       1
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## 18072   -0.287576407 -0.82722356       4
## 18074    1.212733468 -0.82722356       3
## 18075   -0.202480783  2.95093205       1
## 18077   -0.337608139  3.37072712       1
## 18078   -0.779346708 -0.40742849       4
## 18080    1.994299749 -0.40742849       3
## 18081   -1.111313605  0.01236657       4
## 18082    2.537152207 -0.82722356       3
## 18084   -1.260027009 -0.82722356       4
## 18085    0.316704745 -0.40742849       3
## 18086   -1.192743539 -0.82722356       4
## 18088   -0.781793943 -0.82722356       4
## 18093    1.442153994  0.43216164       2
## 18094    0.849940853  1.69154684       2
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## 18101   -1.127783392 -0.40742849       4
## 18104    2.854797100 -0.82722356       3
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## 18110   -0.356594626 -0.82722356       4
## 18112   -0.728047709 -0.40742849       4
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## 18116   -0.722417520  2.11134191       1
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## 18119   -0.698464047 -0.82722356       4
## 18120   -1.131965376 -0.82722356       4
## 18121    0.264507393 -0.40742849       3
## 18122    0.065124868  1.27175178       1
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## 18125   -0.050241089  0.43216164       4
## 18126   -0.539176935 -0.82722356       4
## 18127   -1.100409469  0.01236657       4
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## 18130    0.367229303  0.01236657       3
## 18135   -0.975639729  0.85195671       1
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## 18142    1.337635380 -0.40742849       3
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## 18151    0.203326521 -0.40742849       3
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## 18161    0.185130245  0.85195671       2
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## 18171   -0.294874743  0.85195671       1
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## 18174   -1.176263425 -0.82722356       4
## 18176    1.130642677 -0.82722356       3
## 18177   -0.435463740  1.27175178       1
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## 18179    0.031008142  1.27175178       1
## 18180    0.083236471  1.27175178       1
## 18181    0.551050718 -0.82722356       3
## 18183    0.137406067 -0.40742849       4
## 18184   -1.512061225 -0.82722356       4
## 18185    0.064391730 -0.82722356       4
## 18188    2.311903338  0.01236657       3
## 18189    1.556709369 -0.40742849       3
## 18190   -0.939408261 -0.40742849       4
## 18191   -0.533167270 -0.82722356       4
## 18193   -0.310375962 -0.82722356       4
## 18196    0.314164577 -0.40742849       3
## 18200   -0.805770650 -0.82722356       4
## 18202    1.064433099  0.01236657       3
## 18203   -0.826711546 -0.82722356       4
## 18204    2.296744938  0.01236657       3
## 18205   -0.217938634 -0.40742849       4
## 18209   -0.958800274 -0.82722356       4
## 18210    0.886208313  1.27175178       2
## 18211   -1.077048186  0.85195671       1
## 18212   -0.281504786 -0.82722356       4
## 18213   -0.380261556 -0.82722356       4
## 18215    0.033971671 -0.82722356       4
## 18216    1.164098547 -0.82722356       3
## 18217    0.105437125 -0.40742849       4
## 18218    0.230370015 -0.40742849       3
## 18219   -0.538266192  2.95093205       1
## 18220    0.070773127 -0.82722356       4
## 18221   -0.529933202  0.85195671       1
## 18222    0.924021706 -0.82722356       3
## 18224   -0.835818977 -0.82722356       4
## 18226    1.123996562  3.37072712       1
## 18227   -1.239767622 -0.82722356       4
## 18228    0.595348768 -0.40742849       3
## 18230    0.666641632  1.69154684       2
## 18231    0.760794237  0.85195671       2
## 18232   -0.902157629  0.43216164       4
## 18233    0.905435112 -0.82722356       3
## 18235    1.889450707  0.01236657       3
## 18236   -0.909607755  1.27175178       1
## 18237   -0.597476885  0.85195671       1
## 18239    0.114402059  0.85195671       1
## 18240    0.797508956 -0.82722356       3
## 18242    1.637266766  0.43216164       2
## 18245    0.451444276  1.69154684       1
## 18246    0.025979436 -0.40742849       4
## 18248    0.670066876 -0.40742849       3
## 18249   -1.229916727 -0.82722356       4
## 18250    0.343314552 -0.82722356       3
## 18252   -0.189098436 -0.40742849       4
## 18255   -1.180600297 -0.82722356       4
## 18257   -0.010241190  2.11134191       1
## 18259    3.009024527  0.01236657       3
## 18260    0.908739396  1.27175178       2
## 18261   -0.816179142 -0.40742849       4
## 18262   -0.894490659 -0.82722356       4
## 18263    0.684791589  0.01236657       3
## 18265    0.662291484 -0.40742849       3
## 18268   -1.662612637 -0.82722356       4
## 18269   -0.776032099 -0.82722356       4
## 18270   -0.943466334 -0.40742849       4
## 18272    1.358307803  1.27175178       2
## 18273   -1.399302554  0.01236657       4
## 18274   -0.730680810 -0.82722356       4
## 18276    0.260232476 -0.82722356       3
## 18277   -1.136735935 -0.82722356       4
## 18278   -0.743195783 -0.82722356       4
## 18280   -0.701685723 -0.82722356       4
## 18281   -1.319875842 -0.82722356       4
## 18282   -1.269041507 -0.40742849       4
## 18287    1.973709933  0.01236657       3
# 5. Graficar asignaciones
# install.packages("ggplot2")
library(ggplot2)
# install.packages("factoextra")
library(factoextra)

fviz_cluster(segmentos, data = df,
             palette = c("red", "blue", "black", "pink"),
             ellipse.type = "euclid",
             star.plot = T,
             repel = T,
             ggtheme = theme())

# 6. Optimizar la cantidad de grupos
library(cluster)
library(data.table)

set.seed(123)
optimizacion <- clusGap(df, FUN = kmeans, nstart = 1, K.max = 7)
plot(optimizacion, xlab = "Número de clusters K")

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