Abarrotes Clusters & Data Explorer
Eduardo Leyva
2024-08-25
Contexto
El dueño de las 5 tiendas desea clasificar los clientes por cantidad de visitas y ticket promedio.El siguiente análisis tiene como objetivo determinar las cantidades de 13 componentes que se encuentran en cada uno de los tres tipos de ivnos.
Paso 1. Instalar paquetes y llamar librerías
library(cluster)## Warning: package 'cluster' was built under R version 4.4.1library(ggplot2)
library(data.table)
library(factoextra)## Warning: package 'factoextra' was built under R version 4.4.1## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBalibrary(DataExplorer)## Warning: package 'DataExplorer' was built under R version 4.4.1library(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, unionPaso 2. Obtener los datos
datos <- read.csv("C:\\Users\\eleyva1\\OneDrive - Steelcase Inc\\Documents\\LIT TEC\\abarrotes1.csv")
datos <- datos[datos$Visitas <= 210,]
str(datos)## 'data.frame': 4297 obs. of 3 variables:
## $ Cliente : chr "12346" "12347" "12349" "12350" ...
## $ Ticket_Promedio: num 1.04 68.74 605.1 65.3 169.26 ...
## $ Visitas : int 1 7 1 1 8 1 1 1 3 1 ...Paso 3. Entender la base de datos
summary(datos)## Cliente Ticket_Promedio Visitas
## Length:4297 Min. : 0.00 Min. : 1.000
## Class :character 1st Qu.: 27.92 1st Qu.: 1.000
## Mode :character Median : 51.11 Median : 2.000
## Mean : 68.47 Mean : 4.227
## 3rd Qu.: 88.29 3rd Qu.: 5.000
## Max. :3023.64 Max. :210.000introduce(datos)## rows columns discrete_columns continuous_columns all_missing_columns
## 1 4297 3 1 2 0
## total_missing_values complete_rows total_observations memory_usage
## 1 0 4297 12891 328136Paso 4. Escalar la base de datos
data <- select(datos, Ticket_Promedio, Visitas)
df <- scale(data)Paso 5. Cantidad de grupos
grupos <- 4Paso 6. Generar los segmentos
segmentos <- kmeans(df,grupos)
segmentos## K-means clustering with 4 clusters of sizes 147, 3418, 728, 4
##
## Cluster means:
## Ticket_Promedio Visitas
## 1 -0.1936183 3.6712198
## 2 -0.2487554 -0.1167083
## 3 1.0761485 -0.1955010
## 4 23.8179641 0.3910881
##
## Clustering vector:
## 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
## 2 2 3 2 3 2 3 2 2 3 2 3 2 2 2 2
## 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
## 2 3 2 3 2 3 2 2 2 2 3 2 2 3 2 2
## 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
## 2 3 3 2 2 2 2 2 3 2 2 2 1 3 3 2
## 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
## 2 2 2 2 3 2 3 2 2 3 3 2 2 1 3 2
## 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
## 2 3 2 3 2 3 3 2 3 2 2 3 2 3 2 2
## 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
## 2 3 2 2 2 2 1 3 3 1 3 2 3 3 2 3
## 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
## 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 2
## 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
## 2 2 2 2 2 2 2 3 3 2 3 2 2 2 3 2
## 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
## 2 2 2 2 2 2 2 2 3 2 4 2 3 1 2 2
## 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
## 2 3 2 2 3 2 2 2 3 2 2 2 2 2 2 3
## 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
## 2 2 3 1 2 3 2 2 2 2 3 2 2 2 2 2
## 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
## 3 2 2 3 2 2 2 2 2 3 2 2 2 2 2 2
## 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
## 2 3 2 2 3 2 2 3 2 2 2 2 2 2 1 2
## 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
## 2 2 2 2 2 2 2 3 3 2 3 2 2 2 2 2
## 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
## 2 2 2 2 2 2 2 3 2 2 3 2 3 2 2 2
## 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
## 2 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2
## 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
## 2 3 2 2 2 2 2 2 2 3 2 2 2 2 3 2
## 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
## 2 2 2 2 3 2 2 3 2 2 1 2 2 2 2 2
## 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
## 2 2 2 2 2 2 2 2 3 2 2 2 2 3 4 2
## 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
## 1 3 2 3 2 2 2 2 3 2 2 2 2 3 3 3
## 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
## 2 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
## 3 2 2 2 2 3 2 2 2 3 3 2 2 2 2 2
## 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
## 2 2 2 2 2 2 2 2 2 3 2 3 2 3 2 2
## 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
## 1 2 2 2 2 3 2 2 2 2 2 2 3 2 2 2
## 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
## 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 3
## 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
## 2 3 2 3 2 2 2 2 1 2 3 2 2 3 2 2
## 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
## 2 2 3 2 2 3 1 2 2 2 2 2 2 2 2 2
## 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
## 2 2 2 2 2 3 2 2 3 2 2 2 2 2 2 3
## 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
## 2 2 2 2 2 3 2 2 2 2 1 2 2 2 2 2
## 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
## 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2
## 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
## 2 1 2 2 2 2 2 2 2 3 2 2 1 2 2 2
## 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
## 2 2 2 3 3 2 2 2 2 2 2 2 3 2 3 2
## 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
## 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1
## 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
## 2 2 2 2 1 2 2 3 2 2 2 1 2 2 2 2
## 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
## 2 2 3 1 2 2 1 2 2 2 2 2 2 2 1 2
## 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
## 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
## 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2
## 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
## 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2
## 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
## 2 2 2 2 2 2 3 2 2 2 2 2 2 2 1 2
## 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
## 2 2 2 2 2 2 3 2 2 2 2 2 3 2 3 2
## 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
## 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 2
## 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
## 2 2 2 2 2 2 2 2 3 2 2 2 1 2 2 1
## 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
## 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3
## 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
## 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2
## 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
## 2 2 3 3 3 3 2 3 3 3 3 2 2 2 3 2
## 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
## 2 2 2 3 3 3 3 3 3 2 3 2 2 2 3 3
## 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
## 3 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2
## 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
## 2 2 2 2 2 1 2 2 2 2 2 1 2 2 3 3
## 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
## 2 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2
## 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
## 2 3 3 2 3 2 2 2 2 2 3 2 3 1 2 3
## 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
## 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2
## 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
## 2 2 2 2 2 2 2 2 3 2 2 2 3 2 3 2
## 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
## 2 2 2 2 2 2 2 3 3 2 2 3 2 3 2 2
## 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
## 2 2 2 3 2 1 2 2 2 3 2 3 2 2 2 2
## 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
## 2 2 2 2 2 3 3 2 3 3 3 2 2 3 2 2
## 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
## 1 2 2 2 3 2 2 2 2 2 2 2 3 2 3 3
## 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
## 1 2 2 2 2 2 3 2 2 3 2 2 2 2 2 2
## 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
## 2 2 2 2 2 3 3 2 2 2 2 3 2 3 2 2
## 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
## 2 2 2 2 2 2 2 2 2 3 2 2 2 3 1 2
## 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
## 2 2 3 2 2 3 2 2 2 2 2 2 2 2 1 2
## 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
## 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2
## 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
## 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3
## 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2
## 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
## 2 2 2 2 2 2 3 1 2 2 3 2 1 2 2 2
## 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
## 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2
## 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
## 2 2 3 3 2 2 2 3 2 2 2 2 2 2 2 2
## 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
## 3 2 2 2 3 2 2 3 2 2 2 2 2 2 3 3
## 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
## 2 3 1 2 2 2 2 2 2 2 2 2 2 3 2 2
## 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
## 2 2 2 2 2 3 2 1 2 2 2 2 2 2 2 2
## 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
## 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2 2
## 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
## 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2
## 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
## 2 2 2 1 2 2 2 2 3 2 2 2 2 2 2 2
## 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
## 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2
## 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1
## 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
## 2 2 2 3 2 2 2 2 2 3 2 2 2 3 3 2
## 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
## 1 3 2 2 2 1 1 2 1 2 2 2 2 2 2 2
## 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
## 2 2 2 2 2 2 3 2 2 1 2 3 2 2 2 3
## 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
## 4 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2
## 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
## 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 2
## 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
## 2 2 2 2 3 2 2 2 2 2 3 2 2 2 3 3
## 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
## 2 2 2 2 2 3 2 2 3 2 2 2 3 1 3 3
## 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
## 2 2 2 2 1 2 2 2 2 2 3 2 2 2 2 2
## 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
## 2 2 2 2 2 1 2 2 2 2 2 2 3 2 2 2
## 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
## 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2
## 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
## 2 2 2 3 2 2 2 3 2 2 2 2 3 2 2 2
## 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
## 2 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
## 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
## 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
## 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
## 2 2 2 2 3 2 2 2 3 2 2 2 3 2 2 2
## 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
## 2 2 2 1 2 2 2 2 2 2 2 2 2 3 2 2
## 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
## 2 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2
## 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
## 2 2 2 3 2 2 2 3 2 2 3 2 3 2 2 3
## 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
## 2 3 2 3 2 2 3 2 2 2 2 2 3 2 2 2
## 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
## 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3
## 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
## 3 3 2 2 3 2 2 3 3 2 2 2 2 2 2 2
## 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
## 2 2 2 2 2 2 2 1 2 3 3 2 2 1 3 2
## 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
## 2 2 2 2 2 2 2 3 3 3 2 3 2 2 3 2
## 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
## 3 2 2 1 2 1 3 2 2 2 3 3 2 2 2 2
## 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
## 2 3 2 2 2 2 2 3 3 2 2 2 2 2 3 2
## 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
## 2 1 2 2 2 2 2 2 2 2 2 2 2 3 2 2
## 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
## 3 2 2 3 2 2 3 2 2 2 2 2 2 1 2 3
## 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
## 3 2 3 2 3 2 2 2 2 2 2 2 2 2 1 3
## 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
## 3 2 2 3 2 2 2 2 3 2 1 2 2 2 2 2
## 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
## 2 2 3 2 2 3 1 2 2 2 2 2 2 3 2 2
## 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
## 2 2 2 3 2 2 2 3 2 3 3 2 2 2 1 2
## 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
## 2 2 2 2 2 2 3 2 2 3 2 2 3 2 3 3
## 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
## 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2
## 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
## 2 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2
## 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
## 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2
## 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
## 2 2 2 2 2 2 2 3 2 2 1 2 2 2 2 2
## 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
## 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 3
## 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
## 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1
## 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
## 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2
## 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
## 3 2 3 3 2 2 2 2 2 2 2 2 3 3 2 2
## 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
## 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2
## 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
## 2 3 2 2 2 2 2 2 2 2 3 2 3 1 3 2
## 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
## 3 2 3 2 2 2 2 3 3 2 3 2 3 2 2 2
## 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
## 2 2 2 2 3 2 2 2 1 3 2 2 1 2 2 2
## 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
## 2 2 2 3 3 2 2 2 2 2 2 1 2 2 3 3
## 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
## 2 3 3 2 2 2 2 2 3 1 2 2 2 2 3 2
## 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
## 2 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2
## 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
## 3 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2
## 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
## 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2
## 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032
## 2 2 3 2 2 2 3 2 2 2 1 2 2 2 3 3
## 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2
## 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064
## 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2
## 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112
## 2 2 3 2 3 2 2 2 2 2 2 3 2 2 3 2
## 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128
## 2 3 2 3 3 2 2 2 2 2 2 2 2 1 2 3
## 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144
## 3 2 2 2 2 2 3 2 2 2 2 1 2 2 2 2
## 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160
## 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2
## 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176
## 2 2 3 2 3 2 2 2 3 2 2 2 2 2 1 2
## 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192
## 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3
## 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224
## 3 3 2 2 2 2 2 3 2 2 2 2 2 2 3 3
## 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240
## 2 2 2 2 2 3 3 3 2 2 2 3 3 2 2 2
## 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256
## 2 2 2 2 2 2 3 2 3 2 2 3 1 3 2 2
## 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272
## 2 3 3 2 2 2 3 2 2 2 2 2 2 2 2 3
## 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288
## 3 2 1 2 3 3 2 2 2 3 2 3 3 2 1 2
## 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304
## 2 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3
## 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320
## 3 2 2 2 2 2 2 2 3 3 3 2 3 2 3 2
## 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336
## 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3
## 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352
## 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2
## 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368
## 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 3
## 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384
## 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2
## 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400
## 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2
## 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416
## 2 2 3 2 2 2 2 2 3 3 2 3 3 2 2 2
## 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432
## 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2
## 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448
## 2 3 3 2 2 2 2 2 2 3 3 3 2 3 2 2
## 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464
## 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480
## 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2 1
## 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496
## 2 3 2 2 2 2 2 2 2 2 3 3 2 3 3 2
## 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512
## 3 2 2 2 3 2 3 2 2 1 2 2 3 2 2 2
## 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528
## 2 2 2 2 2 2 3 2 2 3 2 2 2 3 2 3
## 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544
## 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2
## 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560
## 2 1 2 2 2 3 2 2 2 2 3 2 2 3 3 2
## 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576
## 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 2
## 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592
## 2 2 2 2 3 2 2 2 2 2 2 3 2 2 2 2
## 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608
## 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 2
## 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624
## 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2 3
## 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640
## 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3
## 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656
## 2 2 3 2 3 2 2 2 2 2 1 3 2 2 2 2
## 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672
## 2 2 3 2 2 2 2 2 1 2 3 1 2 2 2 2
## 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688
## 2 2 2 2 2 2 3 2 2 3 3 2 3 2 2 2
## 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704
## 2 3 2 2 2 3 2 2 2 2 2 3 2 2 2 2
## 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720
## 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2 2
## 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736
## 2 3 2 2 2 2 3 2 2 2 3 2 2 2 2 3
## 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752
## 3 2 2 1 2 2 2 2 2 3 3 2 2 2 2 2
## 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768
## 2 2 2 3 2 2 2 2 2 1 2 2 2 1 2 2
## 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800
## 2 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2
## 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816
## 1 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2
## 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832
## 2 2 2 2 2 2 3 2 2 3 3 2 2 2 2 2
## 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848
## 3 2 2 2 2 2 2 2 2 2 3 2 2 3 3 2
## 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864
## 3 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2
## 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896
## 3 2 2 1 2 2 3 3 2 2 2 2 3 3 2 2
## 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912
## 2 2 2 1 2 2 2 2 2 3 2 2 2 2 2 2
## 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928
## 3 2 2 3 3 3 3 2 2 2 2 3 2 2 2 2
## 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944
## 2 2 2 2 2 3 2 2 2 2 2 3 2 3 2 3
## 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960
## 2 2 2 2 2 2 3 2 1 2 2 2 2 2 2 2
## 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976
## 2 2 2 2 2 3 2 3 2 3 2 3 2 2 2 2
## 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992
## 2 2 2 2 1 2 3 2 2 3 2 2 3 2 2 2
## 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008
## 3 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2
## 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024
## 2 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2
## 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040
## 2 3 1 1 2 2 2 2 2 2 3 2 3 2 2 2
## 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056
## 2 3 3 2 2 2 2 2 3 2 1 3 2 2 2 2
## 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088
## 2 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2
## 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104
## 3 2 2 2 2 2 2 2 2 2 1 2 2 2 3 2
## 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120
## 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2
## 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136
## 2 2 2 2 2 2 2 3 2 2 1 2 3 2 2 2
## 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152
## 2 2 1 2 3 2 2 2 2 3 2 2 2 2 2 1
## 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168
## 3 2 2 2 2 3 3 3 2 2 3 3 3 2 2 2
## 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184
## 3 2 2 2 3 1 2 2 2 2 2 2 2 3 2 2
## 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200
## 1 1 2 2 2 2 3 2 2 3 2 2 2 2 2 2
## 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216
## 3 3 2 2 2 2 3 2 3 2 2 2 3 2 2 1
## 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232
## 2 2 2 2 3 2 2 3 2 2 2 3 2 3 3 2
## 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248
## 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3
## 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264
## 2 2 2 2 2 2 2 2 2 2 2 2 3 1 2 2
## 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296
## 2 2 3 2 2 2 2 2 2 2 2 3 2 3 3 2
## 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312
## 3 3 2 3 2 2 3 3 3 2 2 3 2 3 2 2
## 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328
## 2 2 3 2 2 2 2 1 2 2 2 1 2 2 1 3
## 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344
## 2 3 3 3 3 2 2 1 2 2 2 2 2 2 2 2
## 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360
## 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2
## 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376
## 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2
## 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392
## 2 2 2 2 2 2 2 2 1 2 3 2 2 2 2 2
## 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408
## 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424
## 2 3 3 2 3 2 2 2 3 2 2 2 2 2 1 2
## 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440
## 3 2 3 2 2 2 2 2 3 3 2 3 2 2 3 2
## 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456
## 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2
## 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472
## 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3
## 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488
## 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2
## 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520
## 2 2 3 2 2 2 3 2 2 2 2 2 2 2 2 2
## 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536
## 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 2
## 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552
## 2 2 2 2 1 2 2 1 2 2 3 3 2 3 3 2
## 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568
## 2 2 2 3 2 2 3 2 2 2 2 2 3 2 2 2
## 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584
## 2 2 2 2 2 3 2 2 2 3 2 2 3 2 3 1
## 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600
## 2 2 2 2 2 1 2 2 3 2 2 2 2 2 2 2
## 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616
## 2 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2
## 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632
## 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2 2
## 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648
## 2 2 2 1 3 1 2 2 2 2 2 2 2 1 2 3
## 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664
## 2 2 3 2 3 2 2 2 2 3 2 2 2 2 2 2
## 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680
## 3 2 2 2 2 2 2 2 3 2 1 2 2 2 2 3
## 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696
## 2 2 2 2 2 2 2 3 1 2 2 2 2 2 2 3
## 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712
## 3 2 2 2 3 2 2 2 2 2 3 2 2 2 2 2
## 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728
## 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
## 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744
## 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2
## 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760
## 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2
## 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776
## 2 3 2 2 2 3 2 2 2 2 2 2 3 2 2 3
## 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792
## 2 2 2 1 2 2 2 1 2 2 2 2 3 3 2 2
## 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808
## 2 2 2 3 2 2 3 3 2 2 3 2 2 2 3 2
## 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824
## 2 3 3 2 2 2 2 3 2 2 2 2 2 3 2 2
## 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840
## 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2
## 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856
## 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 2
## 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872
## 1 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2
## 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888
## 2 3 3 2 2 2 2 1 2 2 2 2 3 2 2 2
## 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904
## 2 2 2 2 2 2 2 3 3 2 2 2 2 2 1 2
## 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920
## 2 2 2 2 2 2 2 2 2 2 2 1 3 2 2 2
## 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936
## 2 3 2 2 3 2 2 2 2 3 2 3 2 2 2 2
## 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952
## 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2
## 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968
## 1 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2
## 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984
## 2 2 1 3 4 2 2 1 2 2 2 2 1 2 2 3
## 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000
## 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2
## 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016
## 2 2 2 3 3 2 2 2 3 2 2 2 2 2 2 3
## 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032
## 2 2 2 2 3 2 2 3 2 2 2 3 2 2 1 2
## 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048
## 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 2
## 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064
## 2 2 2 2 1 2 2 2 2 2 2 2 2 1 2 3
## 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080
## 2 2 2 3 2 2 3 2 3 2 3 2 2 2 2 2
## 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096
## 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 3
## 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112
## 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2
## 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128
## 2 2 2 2 1 2 3 2 3 2 2 2 3 2 2 2
## 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144
## 2 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2
## 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160
## 2 2 3 2 2 2 3 2 2 2 2 2 3 2 2 2
## 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176
## 1 3 2 3 2 1 3 2 2 3 3 2 1 2 2 2
## 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192
## 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2
## 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208
## 2 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2
## 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224
## 2 2 2 1 2 2 2 2 2 2 2 3 2 2 2 2
## 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240
## 3 2 2 3 2 2 3 1 2 2 2 3 2 2 2 2
## 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256
## 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2
## 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272
## 1 2 2 2 3 2 2 2 2 2 1 2 2 2 2 2
## 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288
## 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2
## 4289 4290 4291 4292 4293 4294 4295 4296 4297
## 2 2 2 2 2 2 2 2 2
##
## Within cluster sum of squares by cluster:
## [1] 1516.3857 962.5430 615.7657 111.7792
## (between_SS / total_SS = 62.7 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"Paso 7. Asignar el grupo al que pertenece cada observación
asignacion <- cbind(datos, cluster = segmentos$cluster)
asignacion## Cliente Ticket_Promedio Visitas cluster
## 1 12346 1.0400000 1 2
## 2 12347 68.7442857 7 2
## 3 12349 605.1000000 1 3
## 4 12350 65.3000000 1 2
## 5 12352 169.2637500 8 3
## 6 12353 24.3000000 1 2
## 7 12354 261.2200000 1 3
## 8 12355 54.6500000 1 2
## 9 12356 62.9566667 3 2
## 10 12357 438.6700000 1 3
## 11 12358 78.6050000 2 2
## 12 12360 152.6366667 3 3
## 13 12361 33.3500000 1 2
## 14 12362 104.8290000 10 2
## 15 12363 26.5850000 2 2
## 16 12364 40.5925000 4 2
## 17 12370 64.7000000 1 2
## 18 12371 122.0400000 2 3
## 19 12373 64.1500000 1 2
## 20 12374 139.2500000 1 3
## 21 12377 104.6750000 2 2
## 22 12378 656.4400000 1 3
## 23 12379 57.3250000 2 2
## 24 12380 87.8450000 4 2
## 25 12381 81.4880000 5 2
## 26 12383 61.1220000 5 2
## 27 12384 106.3700000 2 3
## 28 12386 11.9550000 2 2
## 29 12388 46.2950000 6 2
## 30 12390 127.9000000 1 3
## 31 12393 36.4750000 4 2
## 32 12394 63.3200000 1 2
## 33 12395 51.5950000 12 2
## 34 12397 218.5000000 2 3
## 35 12398 169.3800000 1 3
## 36 12399 31.1900000 4 2
## 37 12401 48.4000000 1 2
## 38 12402 36.2000000 1 2
## 39 12407 50.3180000 5 2
## 40 12408 63.4800000 5 2
## 41 12409 129.8733333 3 3
## 42 12410 82.3600000 2 2
## 43 12413 60.7800000 3 2
## 44 12414 51.4200000 3 2
## 45 12415 99.8609524 21 1
## 46 12417 113.8755556 9 3
## 47 12418 121.1900000 1 3
## 48 12421 50.8525000 4 2
## 49 12422 42.3833333 3 2
## 50 12423 45.5250000 8 2
## 51 12424 41.7100000 2 2
## 52 12425 92.3200000 1 2
## 53 12426 118.0900000 1 3
## 54 12427 47.4200000 3 2
## 55 12429 114.3300000 1 3
## 56 12430 68.4800000 1 2
## 57 12431 59.2993333 15 2
## 58 12432 227.8980000 5 3
## 59 12433 131.5642857 7 3
## 60 12434 91.8150000 2 2
## 61 12436 84.2800000 1 2
## 62 12437 44.3611111 18 1
## 63 12438 190.8500000 2 3
## 64 12441 40.7100000 1 2
## 65 12442 40.0800000 1 2
## 66 12444 223.8260000 5 3
## 67 12445 31.9500000 1 2
## 68 12446 248.1000000 1 3
## 69 12447 92.9300000 1 2
## 70 12448 130.9400000 1 3
## 71 12449 176.4225000 4 3
## 72 12450 6.4700000 2 2
## 73 12451 173.4660000 5 3
## 74 12452 49.3350000 2 2
## 75 12453 102.9100000 1 2
## 76 12454 109.2300000 1 3
## 77 12455 44.3100000 4 2
## 78 12456 151.0233333 3 3
## 79 12457 64.0480000 5 2
## 80 12458 82.2000000 2 2
## 81 12461 74.5300000 2 2
## 82 12462 145.3750000 2 3
## 83 12463 63.1525000 4 2
## 84 12464 42.8937500 8 2
## 85 12465 64.8600000 2 2
## 86 12468 66.7850000 2 2
## 87 12471 65.9390000 30 1
## 88 12472 116.1157143 7 3
## 89 12473 279.6840000 5 3
## 90 12474 67.5022222 18 1
## 91 12475 105.8800000 1 3
## 92 12476 102.3300000 11 2
## 93 12477 219.1600000 6 3
## 94 12478 163.3600000 1 3
## 95 12479 82.7300000 1 2
## 96 12480 120.6750000 4 3
## 97 12481 74.1050000 10 2
## 98 12483 48.7325000 8 2
## 99 12484 180.2716667 6 3
## 100 12488 68.4700000 3 2
## 101 12489 88.6200000 1 2
## 102 12490 65.9750000 10 2
## 103 12491 87.8000000 1 2
## 104 12492 33.4750000 2 2
## 105 12493 47.4000000 2 2
## 106 12494 42.4842857 7 2
## 107 12497 28.8400000 1 2
## 108 12498 32.1833333 3 2
## 109 12500 31.2590909 11 2
## 110 12501 359.4900000 1 3
## 111 12502 188.9020000 5 3
## 112 12504 40.5500000 2 2
## 113 12506 73.5000000 1 2
## 114 12507 34.0400000 3 2
## 115 12508 59.3550000 2 2
## 116 12509 38.9500000 1 2
## 117 12510 70.3450000 2 2
## 118 12512 43.8500000 2 2
## 119 12513 76.3200000 1 2
## 120 12514 168.1400000 1 3
## 121 12515 108.5000000 1 3
## 122 12516 35.4350000 2 2
## 123 12517 133.6360000 5 3
## 124 12518 70.3620000 5 2
## 125 12519 53.8400000 1 2
## 126 12520 99.9680000 5 2
## 127 12521 113.8400000 1 3
## 128 12522 30.0050000 2 2
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## 4297 18287 34.8500000 3 2Paso 8. Graficar los clusters
fviz_cluster(segmentos, data=df)
Paso 9. Optimizar la cantidad de grupos
La cantidad óptima de grupos corresponde al punto más alto de la siguiente gráfica.
set.seed(123)
optimizacion <- clusGap(df, FUN=kmeans, nstart=1, K.max =20)## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterations
## Warning: did not converge in 10 iterationsplot(optimizacion, xlab="Número de clusters k")
Paso 10. Comparar segmentos
promedio <- aggregate(asignacion, by=list(asignacion$cluster), FUN=mean)## Warning in mean.default(X[[i]], ...): argument is not numeric or logical:
## returning NA
## Warning in mean.default(X[[i]], ...): argument is not numeric or logical:
## returning NA
## Warning in mean.default(X[[i]], ...): argument is not numeric or logical:
## returning NA
## Warning in mean.default(X[[i]], ...): argument is not numeric or logical:
## returning NApromedio## Group.1 Cliente Ticket_Promedio Visitas cluster
## 1 1 NA 51.00839 30.258503 1
## 2 2 NA 46.03498 3.399356 2
## 3 3 NA 165.54217 2.840659 3
## 4 4 NA 2216.86856 7.000000 4Conclusión
La segmentación o clusters es un algoritmo útil para identificar cuáles son las tiendas que tuvieron mayores ventas.
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