# 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"
## 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)## 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
##
##
## 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
## [1] 134041
## 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
## 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
## [1] -194.1977
## [1] 799.1277
## [1] 4
## 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
## [1] -5
## [1] 11
## 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
# 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"
## 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
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## 17966 -0.459527184 0.85195671 1
## 17967 -1.058114642 -0.82722356 4
## 17968 -0.102268064 -0.82722356 4
## 17969 -1.113688558 -0.40742849 4
## 17970 1.788855929 -0.82722356 3
## 17972 -0.977758600 -0.82722356 4
## 17973 0.267543203 -0.82722356 3
## 17974 -0.290736128 0.01236657 4
## 17976 0.367601035 -0.82722356 3
## 17977 -0.035418280 -0.82722356 4
## 17978 0.043760611 -0.82722356 4
## 17979 -0.646994670 0.43216164 4
## 17980 -0.144810712 0.01236657 4
## 17984 -0.874664958 -0.82722356 4
## 17985 2.113253951 -0.82722356 3
## 17986 -1.691731634 -0.82722356 4
## 17987 -0.590352024 -0.82722356 4
## 17988 -1.642592220 1.69154684 1
## 17990 -0.517802352 0.01236657 4
## 17991 -1.531422260 -0.40742849 4
## 17994 -0.769697168 0.43216164 4
## 17995 -1.349118750 -0.82722356 4
## 17997 -0.294430213 2.11134191 1
## 17999 -0.637066331 -0.40742849 4
## 18001 -0.528117912 -0.40742849 4
## 18004 -0.770641987 -0.82722356 4
## 18005 -1.047024641 -0.40742849 4
## 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
## 18013 -1.240418152 -0.40742849 4
## 18014 -0.789538358 -0.82722356 4
## 18015 -1.076949057 -0.82722356 4
## 18016 0.017689815 0.85195671 1
## 18017 -0.740511053 0.01236657 4
## 18018 -1.442237586 -0.40742849 4
## 18019 -1.582380506 -0.82722356 4
## 18022 2.318697771 -0.82722356 3
## 18024 -0.613151580 -0.40742849 4
## 18027 -1.106191965 -0.82722356 4
## 18030 -1.106099032 -0.40742849 4
## 18032 -1.365227132 -0.82722356 4
## 18033 -1.213622479 -0.82722356 4
## 18034 -0.510615536 -0.40742849 4
## 18035 -0.312193318 0.01236657 4
## 18036 -0.982921543 0.01236657 4
## 18037 -1.748296836 1.27175178 1
## 18040 -0.714076786 -0.40742849 4
## 18042 -0.798026235 -0.82722356 4
## 18043 -0.665111436 0.01236657 4
## 18044 -0.526600007 2.95093205 1
## 18045 -0.647165047 -0.82722356 4
## 18048 -1.286884638 -0.40742849 4
## 18050 -1.359651153 -0.82722356 4
## 18053 0.038184632 -0.82722356 4
## 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
## 18062 -0.332597268 0.01236657 4
## 18064 0.700982577 -0.40742849 3
## 18066 0.149580286 -0.82722356 4
## 18067 0.634876258 -0.82722356 3
## 18068 -1.190513147 -0.82722356 4
## 18069 0.703051885 0.85195671 2
## 18071 -0.417310833 -0.40742849 4
## 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
## 18095 -0.023739704 -0.40742849 4
## 18096 0.061087447 0.01236657 4
## 18097 0.965118731 1.27175178 2
## 18099 -0.777828803 -0.82722356 4
## 18101 -1.127783392 -0.40742849 4
## 18104 2.854797100 -0.82722356 3
## 18105 -1.117529788 -0.82722356 4
## 18106 0.847816671 -0.82722356 3
## 18108 -0.141609688 -0.82722356 4
## 18110 -0.356594626 -0.82722356 4
## 18112 -0.728047709 -0.40742849 4
## 18113 -1.347755733 -0.82722356 4
## 18114 -0.456962234 -0.82722356 4
## 18116 -0.722417520 2.11134191 1
## 18117 0.166432132 -0.82722356 4
## 18119 -0.698464047 -0.82722356 4
## 18120 -1.131965376 -0.82722356 4
## 18121 0.264507393 -0.40742849 3
## 18122 0.065124868 1.27175178 1
## 18123 0.005348316 -0.40742849 4
## 18125 -0.050241089 0.43216164 4
## 18126 -0.539176935 -0.82722356 4
## 18127 -1.100409469 0.01236657 4
## 18129 -1.123291632 -0.82722356 4
## 18130 0.367229303 0.01236657 3
## 18135 -0.975639729 0.85195671 1
## 18136 -0.200818316 0.01236657 4
## 18138 -0.874850824 -0.82722356 4
## 18142 1.337635380 -0.40742849 3
## 18143 1.277662637 -0.40742849 3
## 18145 2.611607005 0.43216164 2
## 18146 -1.323871960 -0.40742849 4
## 18147 -1.265045390 -0.40742849 4
## 18149 -0.556545075 0.01236657 4
## 18150 -0.650510634 0.01236657 4
## 18151 0.203326521 -0.40742849 3
## 18154 -0.584001605 -0.40742849 4
## 18155 -1.053137565 0.01236657 4
## 18156 0.456073223 -0.40742849 3
## 18158 -0.416071727 -0.40742849 4
## 18159 1.463962265 -0.82722356 3
## 18160 0.155961684 -0.40742849 4
## 18161 0.185130245 0.85195671 2
## 18164 0.655445422 -0.82722356 3
## 18165 0.053301729 -0.82722356 4
## 18167 1.039382500 0.01236657 3
## 18168 -0.612532027 1.27175178 1
## 18169 -0.565074256 -0.82722356 4
## 18170 0.203915096 0.01236657 4
## 18171 -0.294874743 0.85195671 1
## 18173 1.442649637 0.43216164 2
## 18174 -1.176263425 -0.82722356 4
## 18176 1.130642677 -0.82722356 3
## 18177 -0.435463740 1.27175178 1
## 18178 0.643379625 0.43216164 2
## 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")