TopCoder Statistics - Problem Statement

Problem Statement

You are given the int[] A. All elements of A are positive integers not exceeding 2000.

You can perform several operations on this array. In each operation you can take any element of A and replace it by any new value from the range [1,2000].

Using as few such operations as possible, convert A into an array that is sorted in non-decreasing order. Return the sorted array you produced. If there are multiple correct answers, return the lexicographically smallest one among them.

Definition

Class:: ArraySorting
Method:: arraySort
Parameters:: int[]
Returns:: int[]
Method signature:: int[] arraySort(int[] A)
(be sure your method is public)

Notes

Given two distinct arrays with the same number of elements, the lexicographically smaller one is the one that has a smaller value at the first index at which they differ.

Constraints

A will contain between 1 and 2000 elements,
Each element of A will be between 1 and 2000, inclusive.

Examples

{ 10, 8 }

Returns: {1, 8 }

The sequence is not sorted, so we need to make at least one change. There are multiple ways how to make it sorted in exactly one change. For example, we could produce {3, 8}, {10, 10}, or {10, 470}. The lexicographically smallest sorted sequence that can be produced in one step is obtained by changing the 10 to a 1.
{ 6, 9 }

Returns: {6, 9 }

This sequence is already sorted, so no changes are needed.
{ 9, 8, 10, 4 }

Returns: {1, 8, 10, 10 }

The minimum number of changes is two. The optimal way to perform the two changes is to replace the 9 by a 1 and to replace the 4 by a 10.
{ 3, 7, 7, 7, 6 }

Returns: {3, 7, 7, 7, 7 }

In this case, the input sequence can be turned into a non-decreasing sequence in a single operation: by changing the last element to a 7 (or something bigger).
{ 502 , 889 , 916 , 922 , 406 , 362 , 720 , 679 , 556 , 227 , 251 , 483 , 491 , 493 , 969 , 530 , 459 , 710 , 969 , 127 , 911 , 578 , 469 , 376 , 244 , 414 , 384 , 87 , 150 , 975 , 366 , 651 , 215 , 281 , 924 , 620 , 642 , 643 , 651 , 550 , 222 , 901 , 32 , 712 , 745 , 353 , 594 , 204 , 62 , 562 , 682 , 324 , 491 , 150 , 700 , 734 , 915 , 435 , 172 , 64 , 761 , 538 , 66 , 976 , 170 , 989 , 595 , 164 , 983 , 245 , 713 , 204 , 498 , 96 , 268 , 242 , 800 , 861 , 445 , 862 , 774 , 478 , 537 , 265 , 979 , 236 , 998 , 893 , 23 , 170 , 308 , 783 , 59 , 373 , 758 , 228 , 713 , 353 , 391 , 48 , 949 , 455 , 603 , 798 , 903 , 222 , 40 , 702 , 82 , 836 , 915 , 856 , 666 , 804 , 472 , 644 , 391 , 469 , 537 , 413 , 638 , 196 , 196 , 696 , 569 , 953 , 276 , 633 , 657 , 18 , 680 , 958 , 825 , 283 , 755 , 727 , 856 , 146 , 780 , 938 , 334 , 47 , 145 , 999 , 202 , 616 , 642 , 592 , 436 , 530 , 5 , 426 , 726 , 200 , 473 , 646 , 504 , 748 , 278 , 161 , 118 , 310 , 470 , 942 , 944 , 224 , 20 , 799 , 722 , 151 , 88 , 55 , 197 , 584 , 405 , 398 , 551 , 398 , 990 , 987 , 928 , 346 , 412 , 5 , 897 , 236 , 650 , 400 , 336 , 279 , 912 , 453 , 940 , 381 , 394 , 883 , 957 , 413 , 34 , 678 , 563 , 121 , 84 , 112 , 705 , 488 , 861 , 255 , 885 , 202 , 593 , 164 , 547 , 356 , 520 , 443 , 592 , 169 , 195 , 927 , 800 , 106 , 379 , 739 , 487 , 124 , 974 , 795 , 536 , 7 , 824 , 450 , 127 , 907 , 561 , 183 , 746 , 774 , 790 , 982 , 975 , 382 , 498 , 874 , 738 , 17 , 316 , 329 , 538 , 510 , 607 , 689 , 968 , 985 , 779 , 806 , 108 , 752 , 600 , 995 , 110 , 423 , 444 , 237 , 681 , 357 , 771 , 778 , 482 , 560 , 111 , 456 , 942 , 608 , 329 , 31 , 977 , 997 , 711 , 514 , 858 , 317 , 202 , 825 , 301 , 980 , 630 , 760 , 84 , 581 , 754 , 193 , 3 , 549 , 781 , 35 , 257 , 552 , 812 , 738 , 463 , 275 , 546 , 756 , 234 , 226 , 786 , 210 , 574 , 496 , 723 , 432 , 164 , 276 , 608 , 816 , 608 , 590 , 575 , 43 , 170 , 680 , 235 , 173 , 581 , 368 , 559 , 189 , 271 , 371 , 279 , 733 , 997 , 176 , 841 , 230 , 401 , 978 , 440 , 975 , 826 , 514 , 758 , 989 , 142 , 717 , 805 , 101 , 306 , 731 , 143 , 476 , 411 , 729 , 648 , 343 , 96 , 206 , 531 , 366 , 928 , 161 , 451 , 276 , 336 , 291 , 506 , 737 , 268 , 945 , 63 , 93 , 810 , 172 , 434 , 951 , 888 , 238 , 51 , 194 , 968 , 193 , 669 , 730 , 922 , 668 , 424 , 369 , 225 , 955 , 735 , 505 , 467 , 537 , 780 , 803 , 179 , 285 , 891 , 798 , 581 , 305 , 243 , 743 , 476 , 676 , 693 , 715 , 265 , 96 , 908 , 584 , 640 , 928 , 314 , 913 , 947 , 737 , 282 , 524 , 43 , 368 , 380 , 510 , 904 , 511 , 664 , 434 , 148 , 554 , 231 , 728 , 858 , 473 , 470 , 333 , 148 , 515 , 399 , 412 , 610 , 659 , 996 , 601 , 938 , 661 , 514 , 885 , 749 , 795 , 760 , 144 , 514 , 139 , 653 , 769 , 1 , 316 , 202 , 148 , 221 , 432 , 228 , 78 , 905 , 697 , 762 , 404 , 563 , 160 , 168 , 524 , 818 , 515 , 125 , 756 , 175 , 638 , 992 , 923 , 784 , 751 , 66 , 297 , 241 , 70 , 65 , 241 , 737 , 618 , 741 , 957 , 49 , 968 , 34 , 953 , 16 , 147 , 709 , 579 , 307 , 876 , 102 , 124 , 390 , 578 , 231 , 564 , 567 , 222 , 838 , 350 , 324 , 256 , 998 , 916 , 677 , 414 , 509 , 414 , 31 , 249 , 722 , 80 , 216 , 108 , 384 , 231 , 254 , 92 , 809 , 912 , 319 , 263 , 388 , 708 , 192 , 618 , 623 , 759 , 192 , 813 , 108 , 515 , 68 , 458 , 783 , 96 , 223 , 291 , 861 , 254 , 539 , 583 , 685 , 754 , 42 , 420 , 984 , 295 , 864 , 145 , 559 , 182 , 759 , 946 , 890 , 950 , 563 , 864 , 708 , 106 , 676 , 168 , 973 , 743 , 625 , 755 , 191 , 847 , 45 , 51 , 452 , 583 , 633 , 488 , 688 , 26 , 908 , 23 , 321 , 771 , 167 , 231 , 304 , 277 , 176 , 545 , 227 , 90 , 409 , 286 , 196 , 84 , 805 , 168 , 179 , 781 , 922 , 369 , 628 , 318 , 419 , 431 , 900 , 404 , 919 , 587 , 429 , 178 , 609 , 101 , 300 , 128 , 331 , 603 , 404 , 858 , 148 , 982 , 948 , 556 , 620 , 143 , 991 , 424 , 662 , 169 , 205 , 935 , 537 , 184 , 252 , 308 , 966 , 503 , 711 , 884 , 441 , 491 , 61 , 49 , 592 , 360 , 528 , 274 , 315 , 284 , 132 , 462 , 617 , 79 , 369 , 588 , 573 , 359 , 12 , 586 , 528 , 568 , 872 , 416 , 751 , 123 , 723 , 716 , 977 , 785 , 952 , 417 , 276 , 364 , 817 , 219 , 76 , 345 , 492 , 390 , 980 , 975 , 203 , 596 , 405 , 571 , 536 , 329 , 281 , 547 , 914 , 808 , 466 , 785 , 576 , 216 , 259 , 298 , 283 , 235 , 83 , 586 , 651 , 710 , 302 , 820 , 928 , 729 , 516 , 771 , 470 , 495 , 746 , 672 , 442 , 150 , 594 , 977 , 479 , 874 , 875 , 744 , 34 , 340 , 881 , 609 , 907 , 491 , 258 , 542 , 726 , 340 , 479 , 728 , 401 , 780 , 547 , 328 , 508 , 414 , 99 , 977 , 908 , 196 , 1000 , 702 , 345 , 945 , 678 , 175 , 171 , 905 , 271 , 204 , 244 , 503 , 164 , 503 , 993 , 421 , 44 , 718 , 113 , 874 , 798 , 513 , 654 , 696 , 841 , 513 , 110 , 291 , 842 , 369 , 486 , 193 , 70 , 182 , 138 , 100 , 709 , 308 , 4 , 331 , 863 , 599 , 833 , 26 , 453 , 825 , 798 , 848 , 543 , 910 , 722 , 692 , 423 , 727 , 387 , 615 , 239 , 848 , 257 , 432 , 217 , 94 , 625 , 638 , 275 , 114 , 89 , 335 , 773 , 444 , 665 , 635 , 43 , 497 , 12 , 847 , 322 , 809 , 695 , 216 , 719 , 416 , 907 , 493 , 142 , 645 , 459 , 732 , 845 , 67 , 164 , 413 , 160 , 140 , 50 , 434 , 605 , 491 , 121 , 377 , 934 , 785 , 363 , 328 , 282 , 374 , 175 , 955 , 534 , 869 , 170 , 252 , 284 , 428 , 96 , 777 , 72 , 906 , 860 , 268 , 972 , 375 , 680 , 131 , 866 , 82 , 917 , 470 , 572 , 37 , 198 , 505 , 173 , 560 , 833 , 454 , 285 , 7 , 760 , 819 , 875 , 929 , 422 , 510 , 356 , 518 , 638 , 780 , 775 , 497 , 47 , 747 , 872 , 79 , 877 , 737 , 160 , 793 , 559 , 731 , 181 , 756 , 587 , 354 , 668 , 419 , 159 , 952 , 777 , 919 , 122 , 3 , 847 , 544 , 512 , 555 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 32, 32, 32, 32, 32, 32, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 64, 64, 64, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 108, 108, 108, 108, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 142, 142, 142, 142, 142, 142, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 143, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 160, 168, 168, 168, 168, 168, 168, 175, 175, 175, 175, 175, 175, 175, 175, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 241, 249, 249, 249, 249, 249, 249, 249, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 277, 277, 277, 277, 277, 277, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 286, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 315, 315, 315, 315, 315, 315, 315, 315, 315, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 359, 364, 364, 364, 364, 364, 364, 390, 390, 390, 390, 390, 405, 405, 405, 405, 405, 405, 405, 405, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 466, 470, 470, 470, 470, 470, 470, 470, 470, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 479, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 543, 543, 543, 543, 543, 543, 543, 615, 615, 615, 615, 615, 615, 615, 625, 638, 638, 638, 638, 638, 638, 638, 665, 665, 665, 665, 665, 665, 665, 665, 695, 695, 719, 719, 719, 719, 719, 719, 719, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 732, 777, 777, 777, 860, 860, 860, 860, 860, 860, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 866, 872, 872, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 919, 919, 919, 919, 919, 919, 919 }
{ 1258 , 479 , 1921 , 984 , 1881 , 1804 , 1910 , 1483 , 553 , 377 , 1656 , 954 , 224 , 266 , 528 , 241 , 1300 , 1538 , 1411 , 785 , 572 , 514 , 1021 , 516 , 10 , 1665 , 984 , 1978 , 1240 , 1290 , 1573 , 497 , 120 , 1493 , 1481 , 353 , 1297 , 1742 , 1835 , 1849 , 118 , 1490 , 802 , 693 , 108 , 1681 , 934 , 1407 , 1571 , 696 , 191 , 142 , 1209 , 1563 , 1009 , 1218 , 1580 , 1993 , 1547 , 819 , 1634 , 1119 , 1668 , 1754 , 612 , 1148 , 106 , 1908 , 1241 , 1940 , 108 , 1359 , 1782 , 1261 , 51 , 1889 , 1294 , 1336 , 1295 , 864 , 31 , 1837 , 1357 , 1591 , 1751 , 717 , 809 , 1682 , 709 , 355 , 853 , 343 , 1474 , 520 , 448 , 437 , 19 , 905 , 696 , 1259 , 1196 , 803 , 969 , 977 , 63 , 1372 , 1217 , 1356 , 707 , 511 , 571 , 1090 , 699 , 279 , 680 , 802 , 996 , 1840 , 483 , 56 , 195 , 1335 , 750 , 20 , 1854 , 1549 , 808 , 224 , 453 , 1503 , 1483 , 1649 , 657 , 451 , 977 , 1071 , 174 , 194 , 779 , 1233 , 1056 , 1701 , 322 , 1755 , 1980 , 1353 , 908 , 1327 , 1193 , 1390 , 1734 , 1739 , 1077 , 836 , 1758 , 1282 , 384 , 565 , 1506 , 837 , 419 , 988 , 837 , 1075 , 1790 , 1813 , 145 , 1964 , 6 , 1275 , 1196 , 1414 , 976 , 1869 , 1520 , 955 , 1573 , 427 , 633 , 765 , 1816 , 718 , 503 , 892 , 1553 , 612 , 174 , 1937 , 1528 , 1679 , 1125 , 298 , 1018 , 1961 , 1372 , 1159 , 125 , 1869 , 1122 , 483 , 1143 , 669 , 1896 , 118 , 889 , 1415 , 1424 , 462 , 1841 , 408 , 1578 , 1656 , 1126 , 433 , 900 , 678 , 1396 , 1073 , 966 , 924 , 1103 , 90 , 1221 , 472 , 402 , 945 , 1630 , 527 , 1165 , 1104 , 1361 , 659 , 124 , 1256 , 1129 , 1013 , 670 , 904 , 1826 , 510 , 1312 , 1755 , 517 , 789 , 539 , 1416 , 1466 , 1935 , 840 , 784 , 1210 , 1942 , 1225 , 782 , 765 , 1627 , 1726 , 395 , 505 , 1242 , 1498 , 1865 , 1901 , 1621 , 1472 , 1381 , 985 , 141 , 284 , 1162 , 650 , 1947 , 1269 , 1518 , 735 , 1807 , 934 , 553 , 1741 , 1773 , 1336 , 950 , 67 , 560 , 84 , 831 , 538 , 1809 , 1225 , 1394 , 1403 , 1074 , 1610 , 1655 , 1047 , 1081 , 1035 , 383 , 1221 , 1318 , 1897 , 222 , 1617 , 1165 , 1740 , 351 , 971 , 1025 , 903 , 1064 , 797 , 238 , 365 , 1215 , 1150 , 448 , 46 , 39 , 609 , 1622 , 1433 , 11 , 1048 , 1042 , 1665 , 94 , 123 , 1051 , 828 , 1695 , 720 , 724 , 1917 , 336 , 1888 , 8 , 687 , 1211 , 1032 , 1589 , 274 , 180 , 179 , 638 , 1747 , 1680 , 1438 , 144 , 1718 , 46 , 117 , 1150 , 56 , 1164 , 544 , 72 , 1609 , 1018 , 1122 , 437 , 712 , 1841 , 1160 , 980 , 529 , 1400 , 1339 , 1215 , 610 , 370 , 1155 , 883 , 902 , 1685 , 1872 , 648 , 1364 , 1309 , 791 , 1434 , 1706 , 907 , 935 , 113 , 423 , 1478 , 184 , 31 , 495 , 1657 , 819 , 1559 , 1850 , 331 , 890 , 378 , 1730 , 229 , 1592 , 691 , 950 , 1098 , 1573 , 1851 , 783 , 1796 , 850 , 498 , 1457 , 1992 , 1931 , 1162 , 1251 , 866 , 1275 , 1673 , 695 , 1810 , 55 , 1542 , 1467 , 874 , 1452 , 1316 , 1556 , 341 , 45 , 1285 , 569 , 1636 , 1975 , 1519 , 1085 , 1899 , 1721 , 1867 , 46 , 923 , 365 , 1502 , 914 , 647 , 1016 , 516 , 1864 , 290 , 188 , 559 , 451 , 595 , 452 , 1917 , 1820 , 1903 , 1584 , 1375 , 243 , 1628 , 1011 , 1164 , 1615 , 985 , 682 , 700 , 1235 , 754 , 918 , 1632 , 1676 , 1634 , 1134 , 590 , 281 , 501 , 1457 , 144 , 790 , 1645 , 1054 , 1240 , 591 , 1857 , 1509 , 410 , 1759 , 1444 , 136 , 354 , 1072 , 1146 , 1517 , 1038 , 482 , 550 , 89 , 1716 , 1303 , 1007 , 1347 , 979 , 640 , 832 , 1920 , 920 , 1332 , 1376 , 1416 , 473 , 1372 , 821 , 65 , 1962 , 678 , 1573 , 723 , 436 , 1368 , 858 , 789 , 791 , 3 , 657 , 1829 , 484 , 1206 , 1917 , 551 , 509 , 923 , 250 , 1839 , 1915 , 1081 , 110 , 1186 , 765 , 1837 , 601 , 1237 , 1561 , 1422 , 1653 , 1874 , 451 , 1577 , 597 , 886 , 945 , 1806 , 27 , 1735 , 1809 , 1035 , 1563 , 644 , 241 , 1832 , 1547 , 1101 , 1106 , 1796 , 1291 , 1020 , 1228 , 1400 , 206 , 344 , 1236 , 1158 , 1933 , 796 , 579 , 1585 , 670 , 1029 , 1162 , 1618 , 267 , 458 , 1423 , 645 , 192 , 1583 , 1679 , 107 , 579 , 271 , 1938 , 125 , 1371 , 1043 , 272 , 661 , 415 , 1851 , 60 , 620 , 195 , 1648 , 1777 , 127 , 795 , 708 , 63 , 1816 , 88 , 1576 , 1433 , 706 , 33 , 1208 , 1350 , 225 , 1142 , 1381 , 331 , 1720 , 1651 , 620 , 1844 , 1022 , 14 , 467 , 34 , 428 , 318 , 446 , 1047 , 864 , 93 , 1176 , 1342 , 1239 , 235 , 1404 , 1407 , 322 , 980 , 1191 , 1028 , 1364 , 398 , 729 , 1588 , 1540 , 109 , 270 , 1259 , 112 , 1241 , 1455 , 1133 , 1255 , 1921 , 1166 , 1682 , 590 , 1611 , 1081 , 1453 , 55 , 608 , 1146 , 1646 , 842 , 550 , 1052 , 1515 , 1881 , 242 , 542 , 1244 , 640 , 1623 , 1184 , 531 , 83 , 1805 , 141 , 194 , 1046 , 1595 , 1678 , 300 , 1868 , 844 , 333 , 809 , 806 , 1765 , 614 , 1213 , 372 , 1759 , 1210 , 1213 , 308 , 261 , 728 , 540 , 854 , 1621 , 136 , 1845 , 1595 , 1671 , 375 , 1678 , 1827 , 516 , 1871 , 872 , 462 , 1901 , 1523 , 681 , 744 , 208 , 1842 , 1901 , 1972 , 455 , 1465 , 344 , 213 , 674 , 1908 , 873 , 1286 , 987 , 1764 , 140 , 960 , 1899 , 1984 , 554 , 1921 , 711 , 583 , 1748 , 1578 , 454 , 971 , 391 , 354 , 494 , 1424 , 1449 , 1053 , 1265 , 1701 , 1024 , 1719 , 1518 , 1719 , 283 , 543 , 1979 , 1155 , 181 , 965 , 919 , 320 , 1924 , 1169 , 655 , 830 , 1090 , 1717 , 1412 , 837 , 1294 , 217 , 1807 , 1685 , 922 , 652 , 1108 , 722 , 1704 , 372 , 775 , 1080 , 442 , 292 , 1150 , 724 , 1186 , 1128 , 1879 , 1366 , 93 , 1149 , 37 , 368 , 317 , 692 , 1197 , 1758 , 408 , 961 , 946 , 54 , 1177 , 1105 , 90 , 451 , 108 , 1197 , 1172 , 164 , 1920 , 1946 , 1243 , 361 , 589 , 392 , 1436 , 1775 , 1520 , 1666 , 1140 , 1964 , 814 , 1529 , 683 , 1483 , 220 , 232 , 1592 , 979 , 1192 , 538 , 1032 , 720 , 1994 , 1121 , 1170 , 101 , 669 , 342 , 264 , 940 , 639 , 1858 , 1652 , 1228 , 602 , 1088 , 1002 , 473 , 1105 , 493 , 436 , 1919 , 21 , 1470 , 1753 , 592 , 1701 , 1696 , 1923 , 1244 , 585 , 1306 , 1964 , 578 , 779 , 1133 , 1031 , 1799 , 1826 , 1646 , 739 , 465 , 1504 , 390 , 44 , 105 , 1829 , 1397 , 929 , 934 , 241 , 1716 , 1204 , 262 , 1185 , 1308 , 1205 , 886 , 1003 , 1127 , 481 , 1588 , 433 , 444 , 517 , 1563 , 1929 , 1547 , 1361 , 106 , 1193 , 99 , 922 , 1048 , 841 , 965 , 1504 , 669 , 361 , 432 , 1954 , 602 , 147 , 1157 , 1215 , 1683 , 816 , 419 , 920 , 1819 , 1898 , 1401 , 1758 , 682 , 1844 , 274 , 244 , 124 , 173 , 1956 , 230 , 1717 , 55 , 1151 , 764 , 1247 , 116 , 267 , 267 , 828 , 1050 , 221 , 1781 , 1548 , 1729 , 995 , 1230 , 545 , 1766 , 150 , 715 , 15 , 1902 , 472 , 696 , 97 , 1097 , 1291 , 221 , 1269 , 1246 , 450 , 985 , 1652 , 1952 , 100 , 898 , 419 , 366 , 1165 , 1599 , 1767 , 1737 , 1379 , 1314 , 1817 , 726 , 544 , 361 , 843 , 1045 , 1427 , 857 , 946 , 250 , 1904 , 1042 , 1347 , 1546 , 1614 , 967 , 1143 , 415 , 304 , 795 , 367 , 755 , 44 , 1137 , 1473 , 1560 , 735 , 1239 , 1648 , 114 , 553 , 1465 , 1191 , 1448 , 177 , 33 , 492 , 1604 , 1241 , 1789 , 1853 , 1144 , 1182 , 1551 , 689 , 1148 , 870 , 183 , 1562 , 1525 , 1329 , 280 , 279 , 1373 , 1417 , 1751 , 1284 , 151 , 1342 , 932 , 616 , 1894 , 396 , 158 , 1693 , 572 , 190 , 536 , 527 , 1430 , 324 , 732 , 925 , 1857 , 634 , 1965 , 1004 , 1855 , 148 , 918 , 1379 , 1476 , 1197 , 10 , 848 , 965 , 112 , 484 , 1468 , 1805 , 1415 , 435 , 1698 , 162 , 593 , 1742 , 1085 , 782 , 277 , 1964 , 564 , 952 , 695 , 1488 , 809 , 1680 , 1453 , 164 , 1535 , 1600 , 1433 , 1265 , 1075 , 982 , 1626 , 275 , 1946 , 1738 , 758 , 1765 , 1894 , 524 , 200 , 1592 , 1037 , 792 , 1685 , 121 , 1925 , 1962 , 436 , 488 , 913 , 1130 , 1976 , 73 , 810 , 1428 , 589 , 696 , 1379 , 21 , 1960 , 453 , 1002 , 1586 , 1079 , 1300 , 1675 , 188 , 1064 , 1568 , 1063 , 1615 , 1511 , 99 , 406 , 1196 , 572 , 331 , 1509 , 1007 , 818 , 421 , 489 , 1145 , 494 , 1650 , 572 , 1434 , 345 , 302 , 1454 , 656 , 755 , 808 , 241 , 185 , 459 , 267 , 725 , 1874 , 187 , 1787 , 1489 , 49 , 238 , 1894 , 1244 , 809 , 576 , 752 , 167 , 1746 , 1525 , 655 , 890 , 370 , 656 , 1814 , 1803 , 1000 , 115 , 1608 , 1656 , 1221 , 767 , 248 , 1406 , 1577 , 867 , 130 , 1451 , 1053 , 268 , 939 , 1453 , 505 , 1184 , 1049 , 1665 , 1760 , 1800 , 1832 , 1857 , 1676 , 838 , 746 , 45 , 1494 , 559 , 199 , 845 , 1026 , 1807 , 500 , 246 , 925 , 1100 , 3 , 502 , 318 , 484 , 1952 , 1722 , 752 , 1242 , 1174 , 1256 , 777 , 222 , 1273 , 888 , 374 , 1104 , 744 , 49 , 293 , 1490 , 446 , 1786 , 400 , 996 , 631 , 1425 , 802 , 1482 , 1671 , 79 , 933 , 1673 , 580 , 1250 , 509 , 883 , 971 , 1260 , 476 , 497 , 867 , 1252 , 718 , 139 , 492 , 1443 , 1594 , 1235 , 1844 , 1887 , 724 , 289 , 1672 , 1476 , 1284 , 654 , 900 , 438 , 488 , 922 , 868 , 1420 , 947 , 1799 , 1022 , 1455 , 1033 , 1992 , 714 , 1508 , 840 , 1932 , 1111 , 1558 , 423 , 1602 , 1352 , 16 , 837 , 1195 , 254 , 1912 , 1835 , 278 , 1387 , 1471 , 931 , 639 , 260 , 1418 , 1560 , 1127 , 1190 , 506 , 925 , 211 , 1960 , 1957 , 554 , 1025 , 1816 , 1394 , 957 , 926 , 1303 , 1731 , 528 , 654 , 1746 , 1716 , 1849 , 2000 , 1627 , 35 , 277 , 1366 , 1505 , 1559 , 4 , 1764 , 1329 , 1563 , 890 , 518 , 69 , 166 , 1080 , 380 , 474 , 1633 , 1405 , 289 , 1026 , 713 , 1567 , 328 , 443 , 94 , 1334 , 540 , 1809 , 1182 , 891 , 1787 , 1568 , 1519 , 1152 , 1073 , 1078 , 1507 , 836 , 758 , 1070 , 78 , 1627 , 1490 , 595 , 706 , 221 , 1069 , 338 , 1977 , 1709 , 1364 , 689 , 1275 , 43 , 1483 , 1720 , 1376 , 375 , 1880 , 909 , 1265 , 1667 , 477 , 1136 , 1170 , 1549 , 565 , 677 , 736 , 1322 , 98 , 1165 , 948 , 1939 , 1760 , 1653 , 511 , 1180 , 1990 , 488 , 888 , 1705 , 1528 , 163 , 100 , 1363 , 1882 , 1475 , 1737 , 1762 , 736 , 1353 , 1780 , 1564 , 488 , 1301 , 1464 , 1052 , 1977 , 199 , 373 , 426 , 1364 , 1672 , 716 , 1475 , 1324 , 1227 , 654 , 1666 , 1714 , 1541 , 1722 , 1593 , 55 , 1821 , 955 , 289 , 1296 , 691 , 402 , 383 , 44 , 533 , 1946 , 883 , 1833 , 1409 , 1935 , 162 , 1959 , 659 , 587 , 1322 , 683 , 1655 , 1148 , 358 , 881 , 1801 , 23 , 946 , 1694 , 1745 , 538 , 1748 , 1565 , 1845 , 388 , 1212 , 535 , 1141 , 1946 , 930 , 1673 , 1891 , 165 , 1506 , 1651 , 451 , 1667 , 1610 , 1109 , 605 , 931 , 143 , 259 , 431 , 501 , 1491 , 231 , 875 , 788 , 1924 , 619 , 1678 , 24 , 536 , 1522 , 763 , 99 , 56 , 1904 , 397 , 1338 , 1576 , 287 , 1502 , 1433 , 1938 , 1952 , 1099 , 1547 , 1412 , 56 , 829 , 1907 , 666 , 1259 , 407 , 157 , 1842 , 1281 , 1296 , 117 , 252 , 973 , 492 , 1139 , 494 , 1255 , 1589 , 902 , 1510 , 1985 , 239 , 1085 , 624 , 92 , 518 , 561 , 395 , 1968 , 459 , 158 , 375 , 1639 , 64 , 1041 , 1250 , 822 , 1549 , 1091 , 103 , 844 , 1207 , 706 , 1817 , 51 , 1844 , 310 , 1657 , 1784 , 1211 , 1166 , 1769 , 1801 , 602 , 392 , 244 , 1471 , 1304 , 638 , 1439 , 1762 , 796 , 1813 , 1752 , 1211 , 853 , 1001 , 33 , 753 , 91 , 487 , 1597 , 1650 , 1192 , 1413 , 52 , 1387 , 74 , 1708 , 1522 , 1637 , 873 , 1290 , 1789 , 1474 , 33 , 33 , 945 , 1336 , 670 , 735 , 1449 , 1817 , 899 , 1201 , 1380 , 104 , 553 , 1764 , 856 , 996 , 250 , 452 , 645 , 1793 , 216 , 1048 , 1179 , 642 , 755 , 700 , 630 , 1979 , 342 , 418 , 1452 , 726 , 450 , 748 , 62 , 1472 , 1834 , 1862 , 1640 , 733 , 1414 , 1019 , 836 , 1967 , 782 , 43 , 962 , 1383 , 495 , 1958 , 1175 , 1062 , 1357 , 705 , 55 , 111 , 1757 , 684 , 89 , 98 , 1102 , 1892 , 823 , 1551 , 992 , 1236 , 1374 , 825 , 1450 , 1014 , 1909 , 863 , 384 , 744 , 1181 , 1166 , 1139 , 494 , 548 , 1985 , 803 , 75 , 1046 , 159 , 779 , 1101 , 269 , 535 , 1784 , 709 , 984 , 1237 , 953 , 159 , 1140 , 1944 , 1394 , 513 , 768 , 1195 , 1526 , 1029 , 410 , 1910 , 124 , 1590 , 1427 , 1262 , 436 , 1974 , 1246 , 1590 , 48 , 644 , 1749 , 1179 , 96 , 369 , 1713 , 231 , 1430 , 1049 , 1468 , 382 , 1207 , 607 , 325 , 952 , 1119 , 1444 , 147 , 645 , 472 , 556 , 906 , 596 , 497 , 332 , 1857 , 1284 , 657 , 1455 , 874 , 1057 , 98 , 622 , 235 , 193 , 1342 , 299 , 423 , 771 , 1347 , 1890 , 1152 , 553 , 496 , 1828 , 1505 , 1967 , 1272 , 3 , 963 , 95 , 558 , 1868 , 690 , 1406 , 551 , 899 , 690 , 1207 , 353 , 1915 , 263 , 802 , 888 , 849 , 994 , 229 , 1148 , 1768 , 1352 , 846 , 1658 , 503 , 1751 , 505 , 683 , 1255 , 823 , 306 , 1609 , 1785 , 400 , 518 , 1652 , 1442 , 1923 , 554 , 340 , 964 , 1761 , 1044 , 878 , 375 , 197 , 117 , 1576 , 1190 , 346 , 1075 , 957 , 1697 , 1920 , 966 , 551 , 1670 , 1823 , 1585 , 1276 , 645 , 1890 , 884 , 430 , 290 , 1401 , 433 , 1731 , 1676 , 987 , 422 , 991 , 1099 , 1817 , 221 , 1473 , 13 , 337 , 1048 , 1202 , 682 , 122 , 510 , 730 , 394 , 1828 , 1633 , 63 , 1650 , 1217 , 1691 , 294 , 1107 , 574 , 1075 , 1748 , 327 , 1508 , 1478 , 354 , 846 , 251 , 1344 , 1944 , 67 , 1564 , 1416 , 79 , 1901 , 816 , 1632 , 934 , 1289 , 141 , 16 , 1682 , 320 , 1648 , 97 , 1969 , 1216 , 1787 , 263 , 674 , 712 , 1689 , 421 , 1038 , 1196 , 250 , 1391 , 41 , 500 , 1087 , 1984 , 566 , 1002 , 1752 , 644 , 1254 , 919 , 627 , 188 , 207 , 1120 , 555 , 1889 , 1439 , 554 , 1985 , 1408 , 121 , 1771 , 22 , 795 , 834 , 1710 , 1215 , 1872 , 1258 , 1465 , 1614 , 1650 , 1964 , 1052 , 1634 , 882 , 54 , 1737 , 1877 , 1307 , 655 , 504 , 1846 , 861 , 1623 , 400 , 1101 , 1061 , 1305 , 1437 , 820 , 1426 , 1207 , 1193 , 220 , 41 , 903 , 1786 , 264 , 512 , 1602 , 229 , 161 , 1566 , 1281 , 146 , 799 , 1334 , 1882 , 675 , 992 , 888 , 1178 , 838 , 101 , 1152 , 1589 , 1201 , 565 , 894 , 990 , 1736 , 671 , 196 , 929 , 890 , 588 , 183 , 1027 , 1203 , 694 , 629 , 1784 , 854 , 546 , 1064 , 1000 , 1344 , 749 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 174, 194, 194, 194, 194, 194, 322, 322, 322, 322, 322, 322, 322, 322, 322, 322, 322, 322, 322, 322, 384, 384, 384, 384, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 419, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 433, 433, 433, 433, 433, 433, 433, 433, 433, 433, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 510, 510, 510, 517, 517, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 553, 553, 553, 553, 553, 553, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 560, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 609, 610, 610, 610, 610, 610, 610, 610, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 691, 691, 691, 691, 691, 783, 783, 850, 850, 850, 850, 850, 850, 850, 866, 866, 866, 866, 866, 866, 866, 866, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 874, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 914, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 918, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 920, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 923, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1043, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1052, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1053, 1090, 1090, 1090, 1090, 1090, 1090, 1090, 1090, 1090, 1090, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1128, 1128, 1128, 1128, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1149, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1172, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1192, 1204, 1204, 1204, 1204, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1205, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1215, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1230, 1239, 1239, 1239, 1239, 1239, 1239, 1239, 1239, 1239, 1239, 1239, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1284, 1284, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1342, 1379, 1379, 1379, 1379, 1379, 1379, 1379, 1379, 1379, 1379, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1415, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1428, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1434, 1451, 1451, 1451, 1451, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1505, 1559, 1559, 1559, 1559, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1627, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1653, 1666, 1714, 1714, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1722, 1745, 1745, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1748, 1769, 1801, 1801, 1801, 1801, 1801, 1801, 1801, 1801, 1801, 1801, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1813, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1817, 1834, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1862, 1892, 1892, 1892, 1892, 1892, 1892, 1892, 1892, 1892, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 1910, 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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 97, 97, 97, 197, 197, 197, 239, 239, 239, 239, 239, 239, 239, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 334, 341, 341, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 385, 385, 385, 385, 385, 385, 385, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 390, 408, 408, 408, 408, 408, 408, 408, 408, 408, 408, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 438, 451, 451, 451, 505, 505, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 518, 538, 538, 538, 538, 538, 538, 538, 538, 538, 538, 538, 538, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 557, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 569, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 584, 584, 584, 584, 584, 587, 587, 587, 587, 587, 587, 587, 587, 587, 587, 594, 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1660 , 1550 , 1275 , 1533 , 372 , 457 , 759 , 1633 , 1245 , 1534 , 889 , 260 , 690 , 831 , 1957 , 842 , 90 , 970 , 1076 , 1181 , 581 , 1773 , 1759 , 60 , 481 , 558 , 9 , 957 , 1854 , 1923 , 1083 , 1513 , 1472 , 358 , 1045 , 196 , 814 , 155 , 1828 , 410 , 1689 , 716 , 1022 , 730 , 1546 , 978 , 1924 , 1635 , 1947 , 1351 , 1167 , 528 , 1123 , 1277 , 939 , 1955 , 187 , 947 , 1264 , 40 , 1221 , 346 , 1552 , 1045 , 1055 , 948 , 1240 , 221 , 1454 , 1067 , 630 , 1142 , 1782 , 1651 , 224 , 1679 , 981 , 147 , 1665 , 927 , 1849 , 831 , 1806 , 972 , 459 , 745 , 926 , 645 , 1691 , 189 , 1036 , 1264 , 887 , 939 , 308 , 1941 , 1886 , 1547 , 161 , 1340 , 965 , 1143 , 833 , 1098 , 1145 , 1056 , 776 , 125 , 1554 , 792 , 1404 , 1403 , 1974 , 1209 , 726 , 432 , 305 , 3 , 1429 , 348 , 544 , 464 , 1611 , 1782 , 1403 , 1918 , 74 , 1640 , 1816 , 235 , 1331 , 1132 , 1729 , 164 , 229 , 1225 , 1571 , 1356 , 1350 , 1477 , 147 , 1105 , 1231 , 472 , 313 , 308 , 903 , 618 , 662 , 683 , 965 , 1205 , 1147 , 927 , 986 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860 , 1270 , 567 , 995 , 301 , 1024 , 385 , 1810 , 1575 , 1776 , 10 , 1251 , 1094 , 751 , 1550 , 1446 , 362 , 650 , 179 , 343 , 1379 , 867 , 1805 , 933 , 1963 , 1566 , 621 , 428 , 1374 , 1163 , 1796 , 585 , 784 , 363 , 1932 , 1084 , 1738 , 316 , 893 , 1312 , 443 , 1255 , 562 , 1889 , 5 , 463 , 1334 , 366 , 1464 , 1513 , 1060 , 843 , 379 , 1216 , 127 , 693 , 1133 , 747 , 1120 , 506 , 261 , 915 , 1443 , 1045 , 1629 , 1374 , 128 , 1718 , 1689 , 1373 , 1029 , 483 , 979 , 1943 , 371 , 1335 , 757 , 57 , 52 , 221 , 1921 , 1112 , 1415 , 651 , 679 , 1541 , 1343 , 1812 , 640 , 462 , 669 , 900 , 1728 , 111 , 1944 , 1709 , 1484 , 424 , 1426 , 1524 , 148 , 455 , 7 , 1478 , 749 , 729 , 812 , 1505 , 785 , 863 , 1725 , 705 , 326 , 1491 , 1355 , 1005 , 1032 , 697 , 1168 , 23 , 1510 , 1836 , 922 , 1238 , 1947 , 1218 , 946 , 1430 , 1993 , 371 , 1306 , 492 , 1177 , 1664 , 1969 , 277 , 392 , 780 , 1782 , 1177 , 1994 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 59, 59, 59, 59, 59, 59, 59, 59, 59, 102, 130, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 276, 276, 276, 276, 276, 276, 276, 324, 324, 324, 324, 324, 324, 324, 324, 324, 429, 429, 429, 429, 429, 429, 429, 429, 429, 429, 429, 429, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 472, 578, 578, 578, 578, 578, 578, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 589, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 665, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 678, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 692, 713, 713, 713, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 811, 841, 863, 863, 863, 863, 863, 863, 863, 863, 863, 863, 863, 863, 863, 863, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 884, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 922, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 926, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 931, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 935, 945, 945, 945, 945, 945, 945, 945, 955, 955, 955, 977, 977, 977, 977, 977, 977, 1039, 1039, 1052, 1052, 1052, 1052, 1052, 1052, 1089, 1089, 1089, 1089, 1089, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1111, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1214, 1214, 1214, 1214, 1233, 1233, 1233, 1233, 1233, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1272, 1272, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 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1239 , 444 , 151 , 1162 , 1278 , 1344 , 873 , 457 , 195 , 1681 , 545 , 1601 , 982 , 269 , 162 , 1868 , 698 , 824 , 1809 , 1298 , 1878 , 502 , 1911 , 603 , 329 , 1003 , 162 , 907 , 656 , 887 , 1246 , 246 , 1330 , 1748 , 1407 , 959 , 1091 , 631 , 1416 , 1637 , 663 , 312 , 1590 , 1644 , 581 , 1751 , 1863 , 1278 , 575 , 23 , 927 , 804 , 525 , 838 , 1758 , 853 , 192 , 1919 , 1759 , 847 , 805 , 1356 , 1445 , 487 , 1104 , 1203 , 1445 , 546 , 1834 , 1212 , 535 , 496 , 1524 , 124 , 492 , 456 , 1874 , 354 , 85 , 800 , 377 , 1012 , 1603 , 901 , 201 , 1361 , 105 , 392 , 1279 , 216 , 1590 , 436 , 1571 , 1034 , 922 , 1026 , 589 , 718 , 1924 , 774 , 1930 , 458 , 1621 , 1805 , 581 , 112 , 260 , 806 , 466 , 344 , 1606 , 1194 , 1707 , 1560 , 94 , 1907 , 920 , 550 , 650 , 551 , 765 , 240 , 986 , 688 , 1625 , 259 , 1713 , 213 , 1328 , 1636 , 1338 , 1609 , 93 , 959 , 1413 , 1025 , 1070 , 24 , 1831 , 1887 , 720 , 1788 , 1080 , 426 , 1347 , 1525 , 685 , 619 , 75 , 1334 , 1169 , 839 , 1573 , 506 , 1878 , 1550 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98 , 1651 , 257 , 1241 , 1804 , 754 , 955 , 1624 , 1016 , 1955 , 157 , 554 , 1296 , 1832 , 1728 , 654 , 290 , 276 , 442 , 466 , 1374 , 810 , 1667 , 681 , 1497 , 235 , 816 , 1154 , 979 , 975 , 725 , 1077 , 625 , 981 , 317 , 429 , 1734 , 1623 , 52 , 750 , 1929 , 560 , 1655 , 1224 , 744 , 1383 , 229 , 1033 , 10 , 1022 , 1850 , 1735 , 1832 , 1516 , 415 , 1680 , 1750 , 1583 , 833 , 1081 , 557 , 1557 , 157 , 1181 , 890 , 825 , 1961 , 623 , 448 , 364 , 1724 , 728 , 1276 , 1379 , 1952 , 19 , 1113 , 532 , 1403 , 1122 , 1554 , 1253 , 856 , 1737 , 768 , 1623 , 1416 , 870 , 1557 , 249 , 1950 , 113 , 157 , 458 , 1645 , 1398 , 1282 , 1958 , 373 , 81 , 321 , 96 , 809 , 1948 , 1826 , 1112 , 1966 , 938 , 1643 , 1721 , 411 , 1196 , 973 , 1619 , 1284 , 92 , 1593 , 700 , 961 , 1149 , 1300 , 1262 , 1613 , 1808 , 1719 , 1257 , 1206 , 1001 , 1566 , 1578 , 1433 , 239 , 25 , 593 , 186 , 203 , 1704 , 152 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 93, 93, 93, 93, 93, 93, 93, 93, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 191, 191, 191, 191, 207, 207, 207, 207, 207, 207, 207, 207, 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907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 907, 943, 943, 1017, 1017, 1017, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1020, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1063, 1102, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1105, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1108, 1112, 1112, 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1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1348, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1350, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1364, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1373, 1407, 1407, 1407, 1407, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1445, 1445, 1445, 1445, 1445, 1445, 1445, 1445, 1445, 1445, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1524, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1571, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1606, 1625, 1625, 1625, 1625, 1625, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1636, 1685, 1685, 1706, 1706, 1706, 1706, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1710, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1756, 1756, 1756, 1756, 1756, 1756, 1756, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1797, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1841, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1845, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1886, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 1924, 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{ 633 , 204 , 222 , 876 , 102 , 654 , 785 , 427 , 151 , 438 , 789 , 23 , 239 , 899 , 90 , 453 , 548 , 906 , 432 , 555 , 793 , 498 , 329 , 81 , 950 , 875 , 795 , 708 , 713 , 357 , 746 , 345 , 560 , 319 , 220 , 13 , 324 , 5 }

Returns: {1, 204, 222, 222, 222, 222, 222, 427, 427, 438, 438, 438, 438, 438, 438, 453, 548, 548, 548, 555, 555, 555, 555, 555, 555, 555, 555, 708, 713, 713, 746, 746, 746, 746, 746, 746, 746, 746 }
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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 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1943 , 1688 , 564 , 516 , 1520 , 341 , 1989 , 473 , 184 , 1080 , 466 , 864 , 1571 , 125 , 1182 , 553 , 406 , 1080 , 1656 , 1992 , 1524 , 1697 , 836 , 924 , 132 , 904 , 1900 , 560 , 614 , 1622 , 622 , 556 , 1309 , 1185 , 1423 , 1181 , 1525 , 1764 , 5 , 60 , 843 , 823 , 1276 , 765 , 947 , 457 , 1669 , 1704 , 1888 , 1676 , 47 , 1411 , 1372 , 882 , 335 , 1504 , 1785 , 586 , 63 , 398 , 560 , 1036 , 1306 , 220 , 220 , 728 , 1400 , 97 , 491 , 1405 , 508 , 1686 , 579 , 1783 , 450 , 1525 , 591 , 119 , 1580 , 478 , 1794 , 1626 , 1889 , 1518 , 508 , 575 , 1021 , 644 , 1160 , 1435 , 1394 , 71 , 470 , 699 , 643 , 1041 , 1778 , 42 , 1489 , 621 , 1798 , 1997 , 306 , 376 , 131 , 755 , 252 , 722 , 1225 , 183 , 1199 , 1371 , 1809 , 1439 , 888 , 668 , 13 , 260 , 1311 , 1525 , 1694 , 1056 , 1947 , 515 , 1754 , 589 , 1907 , 1884 , 631 , 1748 , 504 , 780 , 1744 , 1161 , 1508 , 226 , 267 , 111 , 947 , 1492 , 294 , 498 , 1214 , 454 , 1936 , 101 , 1121 , 301 , 360 , 783 , 1825 , 405 , 1839 , 123 , 1271 , 1944 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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 42, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 163, 163, 163, 163, 163, 163, 163, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 187, 187, 187, 187, 187, 187, 187, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 240, 240, 240, 240, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 271, 271, 271, 271, 271, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 330, 330, 330, 330, 330, 348, 348, 348, 348, 348, 348, 348, 348, 348, 348, 348, 348, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 421, 443, 443, 443, 443, 443, 443, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 455, 485, 485, 485, 485, 485, 485, 485, 485, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 503, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 522, 522, 522, 522, 522, 522, 522, 522, 527, 527, 527, 527, 527, 527, 527, 527, 527, 527, 527, 527, 527, 527, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 529, 567, 567, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 571, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 595, 600, 600, 600, 600, 600, 600, 619, 619, 619, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 659, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 777, 777, 777, 777, 777, 777, 777, 777, 777, 778, 778, 778, 829, 829, 829, 829, 829, 829, 829, 829, 868, 868, 868, 868, 868, 892, 892, 892, 892, 892, 892, 892, 892, 899, 899, 899, 899, 899, 899, 899, 899, 906, 906, 906, 906, 906, 906, 1005, 1005, 1005, 1005, 1005, 1005, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1030, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1058, 1078, 1078, 1078, 1078, 1078, 1078, 1100, 1100, 1100, 1100, 1100, 1100, 1110, 1110, 1110, 1110, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1155, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1180, 1180, 1180, 1180, 1180, 1180, 1180, 1180, 1180, 1281, 1281, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1294, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1340, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1383, 1383, 1383, 1383, 1383, 1383, 1383, 1383, 1383, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1592, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1630, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1638, 1641, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1669, 1669, 1669, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1676, 1686, 1686, 1783, 1783, 1783, 1783, 1783, 1783, 1783, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1794, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1798, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1809, 1825, 1825, 1825, 1825, 1825, 1825, 1825, 1825, 1827, 1827, 1827, 1827, 1827, 1827, 1842, 1842, 1842, 1842, 1842, 1842, 1842, 1842, 1842, 1842, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1893, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1929, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1935, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1966, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969, 1969 }
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1336 , 1093 , 942 , 409 , 1104 , 245 , 612 , 623 , 1930 , 572 , 1790 , 1599 , 1095 , 982 , 1550 , 842 , 731 , 555 , 1882 , 577 , 1197 , 1539 , 616 , 1750 , 1495 , 808 , 212 , 141 , 676 , 1619 , 934 , 363 , 1063 , 227 , 772 , 166 , 823 , 1735 , 1141 , 1104 , 659 , 1282 , 702 , 105 , 263 , 603 , 946 , 994 , 1158 , 1179 , 1570 , 706 , 718 , 185 , 807 , 212 , 1345 , 1019 , 352 , 372 , 989 , 1637 , 735 , 404 , 216 , 1858 , 569 , 1390 , 1944 , 61 , 494 , 602 , 1342 , 1195 , 707 , 1605 , 150 , 4 , 950 , 1659 , 1535 , 519 , 364 , 252 , 1055 , 1170 , 815 , 399 , 540 , 1518 , 1123 , 1881 , 1507 , 1857 , 284 , 74 , 66 , 1204 , 1463 , 9 , 1265 , 1956 , 963 , 958 , 1503 , 21 , 914 , 1652 , 376 , 1863 , 1310 , 1910 , 733 , 25 , 161 , 1788 , 1546 , 1327 , 538 , 438 , 1197 , 1660 , 318 , 703 , 1868 , 601 , 1128 , 1933 , 156 , 590 , 294 , 1772 , 898 , 1256 , 730 , 400 , 1276 , 1995 , 403 , 1651 , 1858 , 64 , 1561 , 590 , 440 , 73 , 729 , 1985 , 1752 , 1267 , 422 , 948 , 1278 , 1091 , 2 , 1146 , 43 , 1129 , 1430 , 199 , 70 , 75 , 1970 , 967 , 1330 , 1051 , 1718 , 957 , 1046 , 472 , 960 , 903 , 887 , 872 , 1844 , 1326 , 944 , 573 , 1663 , 1047 , 191 , 436 , 1994 , 1820 , 1527 , 347 , 965 , 1921 , 1827 , 747 , 119 , 1897 , 821 , 89 , 1215 , 503 , 1491 , 1285 , 1811 , 536 , 108 , 770 , 1438 , 995 , 1641 , 1634 , 672 , 937 , 558 , 334 , 1983 , 1100 , 1122 , 329 , 919 , 648 , 675 , 236 , 920 , 854 , 982 , 1039 , 1102 , 154 , 1479 , 316 , 1008 , 969 , 1952 , 819 , 1505 , 60 , 1940 , 1294 , 1406 , 1581 , 927 , 77 , 869 , 1836 , 763 , 851 , 935 , 1884 , 1531 , 1854 , 883 , 558 , 89 , 1802 , 1411 , 1422 , 840 , 512 , 1927 , 670 , 1179 , 935 , 1639 , 1131 , 105 , 1495 , 1542 , 44 , 788 , 947 , 1976 , 67 , 1375 , 844 , 1902 , 137 , 47 , 837 , 20 , 1577 , 1042 , 1254 , 486 , 1130 , 1056 , 1896 , 903 , 247 , 759 , 829 , 917 , 290 , 1763 , 907 , 1772 , 1867 , 401 , 1313 , 263 , 1540 , 611 , 238 , 1606 , 1985 , 1082 , 1508 , 474 , 1480 , 696 , 845 , 1408 , 89 , 99 , 1894 , 1218 , 1154 , 141 , 472 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1386 , 22 , 1387 , 1992 , 46 , 1355 , 1051 , 682 , 646 , 363 , 921 , 1943 , 283 , 981 , 535 , 939 , 579 , 595 , 976 , 564 , 256 , 1504 , 782 , 1836 , 726 , 1709 , 1058 , 191 , 1056 , 720 , 1625 , 793 , 742 , 1011 , 1137 , 1139 , 365 , 539 , 1820 , 1363 , 902 , 741 , 1657 , 1536 , 73 , 191 , 474 , 651 , 786 , 1450 , 1567 , 1393 , 953 , 348 , 1228 , 31 , 408 , 637 , 221 , 1815 , 1356 , 197 , 608 , 449 , 1207 , 96 , 1587 , 1923 , 634 , 1759 , 1285 , 1887 , 851 , 941 , 1423 , 923 , 1484 , 248 , 1926 , 269 , 1697 , 1844 , 13 , 1002 , 191 , 1240 , 1384 , 598 , 228 , 1604 , 765 , 1583 , 1800 , 1724 , 384 , 1358 , 1819 , 1970 , 1280 , 804 , 80 , 917 , 1043 , 930 , 209 , 465 , 205 , 1692 , 712 , 482 , 312 , 761 , 325 , 324 , 114 , 515 , 1915 , 1497 , 1464 , 142 , 1452 , 580 , 77 , 1603 , 303 , 460 , 1312 , 121 , 781 , 591 , 1277 , 861 , 1859 , 319 , 142 , 68 , 1135 , 346 , 111 , 198 , 827 , 423 , 958 , 1151 , 1098 , 1423 , 17 , 1013 , 919 , 1833 , 1154 , 722 , 412 , 1230 , 676 , 1067 , 1689 , 1987 , 1539 , 470 , 930 , 815 , 1682 , 788 , 1485 , 1823 , 1207 , 619 , 169 , 1318 , 817 , 1347 , 92 , 126 , 850 , 1189 , 1549 , 1218 , 201 , 467 , 1050 , 1707 , 1541 , 1814 , 936 , 216 , 1232 , 977 , 203 , 770 , 1798 , 1132 , 1585 , 1479 , 271 , 1069 , 1653 , 1478 , 40 , 173 , 1147 , 856 , 1520 , 1590 , 981 , 369 , 1130 , 529 , 1938 , 1683 , 1348 , 988 , 1389 , 888 , 1153 , 324 , 1455 , 384 , 1652 , 9 , 1153 , 1449 , 1492 , 1089 , 1279 , 1763 , 510 , 932 , 1592 , 549 , 1104 , 1090 , 1404 , 623 , 679 , 736 , 1343 , 1808 , 1617 , 1281 , 1490 , 964 , 620 , 1230 , 203 , 124 , 1554 , 9 , 507 , 1205 , 18 , 11 , 1006 , 1509 , 1452 , 284 , 1271 , 313 , 1215 , 1214 , 861 , 671 , 303 , 616 , 1293 , 1333 , 1703 , 988 , 1141 , 1319 , 268 , 982 , 634 , 1239 , 212 , 836 , 1362 , 117 , 845 , 220 , 1673 , 1214 , 582 , 678 , 722 , 385 , 1314 , 345 , 697 , 880 , 1558 , 1557 , 1550 , 1861 , 524 , 843 , 1193 , 227 , 182 , 685 , 1545 , 801 , 19 , 179 , 39 , 582 , 1366 , 1752 , 698 , 562 , 323 , 722 , 1775 , 904 , 1400 , 497 , 1289 , 1065 , 1193 , 337 , 1944 , 750 , 1894 , 1494 , 610 , 769 , 688 , 155 , 1347 , 869 , 1191 , 892 , 1669 , 1209 , 1422 , 59 , 1790 , 1139 , 1810 , 839 , 53 , 132 , 1561 , 1827 , 1387 , 1312 , 675 , 1027 , 376 , 1867 , 1364 , 319 , 969 , 1609 , 1812 , 1930 , 377 , 851 , 84 , 1724 , 1719 , 1275 , 967 , 1387 , 835 , 740 , 1445 , 625 , 230 , 1606 , 1463 , 282 , 1737 , 1023 , 109 , 1476 , 334 , 1135 , 502 , 1061 , 1002 , 1865 , 1380 , 1970 , 1473 , 1543 , 1899 , 202 , 394 , 335 , 277 , 464 , 1961 , 1243 , 203 , 795 , 334 , 1999 , 1419 , 563 , 1605 , 1234 , 845 , 1693 , 256 , 1305 , 1168 , 942 , 439 , 22 , 2 , 1792 , 1886 , 1733 , 113 , 1711 , 1628 , 12 , 264 , 373 , 698 , 540 , 836 , 658 , 134 , 1038 , 1452 , 467 , 1037 , 1223 , 1029 , 993 , 456 , 225 , 685 , 1063 , 1529 , 205 , 4 , 1968 , 226 , 358 , 1759 , 463 , 442 , 1872 , 173 , 69 , 235 , 788 , 441 , 1284 , 1327 , 1629 , 293 , 1460 , 1018 , 1744 , 278 , 54 , 1318 , 1659 , 1398 , 125 , 1883 , 83 , 1188 , 1412 , 639 , 1543 , 1731 , 864 , 252 , 1841 , 1678 , 694 , 64 , 1851 , 762 , 650 , 638 , 1555 , 1933 , 317 , 1183 , 225 , 1776 , 200 , 321 , 406 , 606 , 1638 , 64 , 3 , 1763 , 1946 , 437 , 1302 , 1709 , 1075 , 844 , 1439 , 290 , 1096 , 1632 , 1968 , 1789 , 1695 , 170 , 902 , 345 , 1159 , 456 , 277 , 1475 , 1990 , 854 , 1603 , 542 , 1174 , 8 , 1499 , 1163 , 423 , 1501 , 1277 , 368 , 290 , 578 , 429 , 1716 , 1422 , 219 , 358 , 869 , 1850 , 325 , 1009 , 1545 , 846 , 1910 , 241 , 356 , 718 , 869 , 1831 , 1059 , 1722 , 1785 , 1600 , 895 , 144 , 1450 , 410 , 566 , 951 , 1686 , 1285 , 1592 , 264 , 1713 , 1307 , 37 , 1932 , 16 , 905 , 1781 , 340 , 1913 , 1677 , 1537 , 174 , 1917 , 1893 , 1243 , 786 , 75 , 302 , 859 , 1859 , 253 , 106 , 354 , 1703 , 515 , 919 , 1005 , 200 , 203 , 948 , 815 , 268 , 606 , 851 , 199 , 622 , 107 , 1979 , 1313 , 371 , 8 , 850 , 545 , 1924 , 1094 , 1787 , 1061 , 1168 , 440 , 1920 , 1378 , 1045 , 25 , 1731 , 1099 , 891 , 1001 , 103 , 1090 , 1555 , 1050 , 257 , 1822 , 7 , 1107 , 20 , 628 , 1214 , 351 , 1941 , 1584 , 358 , 1142 , 480 , 633 , 235 , 619 , 46 , 1402 , 1058 , 1965 , 1131 , 454 , 341 , 861 , 1552 , 1583 , 213 , 1654 , 672 , 1767 , 1055 , 1280 , 1941 , 1062 , 387 , 1960 , 41 , 1952 , 662 , 333 , 1535 , 1371 , 1474 , 15 , 356 , 1708 , 633 , 401 , 1461 , 42 , 717 , 591 , 496 , 1057 , 1803 , 47 , 639 , 15 , 53 , 1662 , 134 , 1459 , 942 , 74 , 872 , 1680 , 385 , 913 , 1631 , 1399 , 1597 , 1517 , 769 , 1071 , 1531 , 1124 , 1130 , 515 , 1876 , 943 , 909 , 592 , 1885 , 1756 , 2000 , 1688 , 154 , 990 , 54 , 558 , 1004 , 539 , 17 , 1945 , 964 , 1240 , 1976 , 1701 , 504 , 1606 , 1099 , 101 , 1122 , 219 , 1171 , 1005 , 1695 , 652 , 1871 , 1570 , 1594 , 1131 , 162 , 1479 , 886 , 161 , 1518 , 1040 , 1151 , 1923 , 1949 , 154 , 462 , 1965 , 450 , 1777 , 1557 , 777 , 1477 , 60 , 382 , 575 , 160 , 1855 , 794 , 1682 , 1211 , 840 , 686 , 1434 , 409 , 279 , 564 , 570 , 109 , 1802 , 1083 , 1978 , 1193 , 233 , 1901 , 1141 , 738 , 714 , 1106 , 1539 , 490 , 662 , 315 , 1967 , 1073 , 1048 , 893 , 1233 , 1254 , 38 , 1266 , 465 , 877 , 1951 , 250 , 1638 , 582 , 1165 , 207 , 1042 , 966 , 1641 , 1020 , 158 , 225 , 1272 , 1299 , 962 , 1985 , 756 , 852 , 826 , 1769 , 1166 , 1144 , 841 , 213 , 37 , 425 , 1467 , 426 , 43 , 283 , 1303 , 1993 , 884 , 940 , 926 , 48 , 1498 , 1968 , 1014 , 1491 , 1339 , 1523 , 1715 , 610 , 821 , 1029 , 946 , 1928 , 1880 , 123 , 1696 , 1046 , 1267 , 889 , 1610 , 1655 , 1665 , 1428 , 80 , 1707 , 62 , 1734 , 52 , 945 , 1025 , 977 , 993 , 875 , 1296 , 358 , 365 , 986 , 1880 , 79 , 1947 , 1053 , 1107 , 892 , 980 , 1339 , 1367 , 1028 , 736 , 633 , 1916 , 345 , 639 , 1580 , 125 , 718 , 1639 , 186 , 804 , 1690 , 1483 , 1828 , 1018 , 827 , 702 , 666 , 1536 , 1066 , 1651 , 1415 , 1497 , 1950 , 467 , 955 , 1193 , 1799 , 293 , 559 , 826 , 1028 , 1543 , 1093 , 1725 , 181 , 1024 , 1849 , 1251 , 662 , 386 , 406 , 703 , 1868 , 233 , 73 , 1046 , 1287 , 1090 , 581 , 704 , 1092 , 348 , 552 , 1041 , 1166 , 1507 , 234 , 964 , 1799 , 792 , 141 , 1179 , 687 , 1233 , 903 , 867 , 609 , 1103 , 469 , 1622 , 1488 , 874 , 677 , 1708 , 1459 , 749 , 1105 , 1097 , 1838 , 1686 , 1800 , 1281 , 385 , 704 , 322 , 1550 , 210 , 555 , 514 , 360 , 1698 , 1006 , 1538 , 384 , 591 , 792 , 1603 , 1199 , 1894 , 423 , 820 , 1734 , 1297 , 1848 , 1793 , 1107 , 596 , 897 , 203 , 785 , 934 , 354 , 66 , 1318 , 1057 , 739 , 1220 , 1266 , 1645 , 85 , 1978 , 1694 , 1090 , 1515 , 430 , 1680 , 659 , 384 , 1230 , 552 , 806 , 402 , 637 , 454 , 249 , 429 , 1560 , 1197 , 1678 , 114 , 1981 , 963 , 468 , 398 , 633 , 1524 , 1488 , 1852 , 1142 , 1132 , 1936 , 1119 , 1178 , 1377 , 985 , 1607 , 1409 , 1643 , 1990 , 638 , 547 , 795 , 1039 , 1535 , 1249 , 1640 , 1964 , 1160 , 836 , 1993 , 1274 , 816 , 955 , 1741 , 1566 , 1939 , 1616 , 1053 , 1790 , 1109 , 537 , 77 , 579 , 1714 , 1454 , 1564 , 1672 , 862 , 1558 , 1661 , 1851 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 70, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 128, 128, 172, 172, 172, 172, 172, 172, 172, 204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 216, 216, 216, 216, 216, 216, 254, 254, 254, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 285, 285, 285, 285, 285, 285, 285, 285, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 363, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 365, 408, 408, 408, 408, 408, 408, 408, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 449, 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{ 510 }

Returns: {510 }
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1789 , 690 , 1405 , 1867 , 1673 , 1866 , 481 , 1741 , 1414 , 1090 , 1641 , 341 , 589 , 214 , 1070 , 1097 , 1827 , 933 , 751 , 219 , 729 , 1384 , 734 , 1226 , 306 , 1979 , 752 , 832 , 1259 , 1896 , 489 , 1399 , 585 , 1893 , 1617 , 610 , 110 , 97 , 702 , 1523 , 1539 , 342 , 215 , 127 , 908 , 1637 , 1575 , 1086 , 921 , 677 , 1305 , 1649 , 61 , 390 , 874 , 718 , 368 , 1978 , 1549 , 1978 , 1873 , 37 , 1728 , 810 , 281 , 1696 , 1771 , 742 , 1793 , 472 , 616 , 1683 , 814 , 1183 , 1809 , 73 , 819 , 1736 , 1158 , 1739 , 412 , 814 , 1387 , 824 , 1203 , 612 , 1542 , 1922 , 589 , 1090 , 1899 , 462 , 1479 , 1978 , 1623 , 111 , 1674 , 1393 , 1205 , 1818 , 1864 , 1820 , 1500 , 1029 , 1002 , 1660 , 1101 , 1820 , 1395 , 259 , 1910 , 1807 , 1072 , 1296 , 630 , 627 , 1908 , 171 , 548 , 848 , 1613 , 799 , 1661 , 1443 , 776 , 1283 , 1905 , 801 , 1027 , 1109 , 618 , 1243 , 929 , 469 , 271 , 282 , 129 , 1724 , 454 , 1875 , 334 , 363 , 33 , 1757 , 11 , 663 , 735 , 270 , 1185 , 1283 , 1117 , 1149 , 433 , 778 , 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262 , 1925 , 227 , 1796 , 407 , 190 , 1871 , 1507 , 1982 , 1365 , 713 , 1453 , 1399 , 962 , 983 , 332 , 1616 , 1817 , 1705 , 1403 , 510 , 1347 , 1134 , 509 , 498 , 1273 , 1910 , 1519 , 1626 , 253 , 453 , 239 , 177 , 1032 , 35 , 935 , 1221 , 257 , 441 , 1202 , 1622 , 1505 , 1007 , 1020 , 467 , 1989 , 1351 , 82 , 157 , 1056 , 1837 , 1018 , 754 , 970 , 1527 , 1251 , 594 , 1436 , 1122 , 219 , 1688 , 1926 , 458 , 217 , 957 , 844 , 1151 , 177 , 1100 , 1944 , 1731 , 721 , 1448 , 737 , 92 , 266 , 1077 , 1795 , 348 , 1233 , 1202 , 184 , 251 , 307 , 1505 , 1777 , 1910 , 98 , 1564 , 1031 , 317 , 1603 , 956 , 774 , 171 , 1913 , 1617 , 1674 , 441 , 1068 , 1617 , 171 , 141 , 1416 , 1259 , 232 , 1682 , 335 , 378 , 381 , 1920 , 1931 , 916 , 522 , 238 , 772 , 298 , 147 , 869 , 213 , 1529 , 1185 , 167 , 836 , 310 , 338 , 1100 , 278 , 11 , 1541 , 1346 , 1979 , 63 , 1486 , 1394 , 1322 , 69 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 171, 171, 171, 171, 171, 171, 171, 171, 171, 213, 213, 213, 213, 213, 213, 213, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 352, 360, 360, 360, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 372, 394, 394, 394, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 425, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 427, 433, 433, 433, 433, 433, 433, 433, 433, 433, 472, 472, 472, 472, 511, 511, 511, 511, 511, 511, 511, 511, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 513, 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Returns: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000 }
{ 2000 , 1999 , 1998 , 1997 , 1996 , 1995 , 1994 , 1993 , 1992 , 1991 , 1990 , 1989 , 1988 , 1987 , 1986 , 1985 , 1984 , 1983 , 1982 , 1981 , 1980 , 1979 , 1978 , 1977 , 1976 , 1975 , 1974 , 1973 , 1972 , 1971 , 1970 , 1969 , 1968 , 1967 , 1966 , 1965 , 1964 , 1963 , 1962 , 1961 , 1960 , 1959 , 1958 , 1957 , 1956 , 1955 , 1954 , 1953 , 1952 , 1951 , 1950 , 1949 , 1948 , 1947 , 1946 , 1945 , 1944 , 1943 , 1942 , 1941 , 1940 , 1939 , 1938 , 1937 , 1936 , 1935 , 1934 , 1933 , 1932 , 1931 , 1930 , 1929 , 1928 , 1927 , 1926 , 1925 , 1924 , 1923 , 1922 , 1921 , 1920 , 1919 , 1918 , 1917 , 1916 , 1915 , 1914 , 1913 , 1912 , 1911 , 1910 , 1909 , 1908 , 1907 , 1906 , 1905 , 1904 , 1903 , 1902 , 1901 , 1900 , 1899 , 1898 , 1897 , 1896 , 1895 , 1894 , 1893 , 1892 , 1891 , 1890 , 1889 , 1888 , 1887 , 1886 , 1885 , 1884 , 1883 , 1882 , 1881 , 1880 , 1879 , 1878 , 1877 , 1876 , 1875 , 1874 , 1873 , 1872 , 1871 , 1870 , 1869 , 1868 , 1867 , 1866 , 1865 , 1864 , 1863 , 1862 , 1861 , 1860 , 1859 , 1858 , 1857 , 1856 , 1855 , 1854 , 1853 , 1852 , 1851 , 1850 , 1849 , 1848 , 1847 , 1846 , 1845 , 1844 , 1843 , 1842 , 1841 , 1840 , 1839 , 1838 , 1837 , 1836 , 1835 , 1834 , 1833 , 1832 , 1831 , 1830 , 1829 , 1828 , 1827 , 1826 , 1825 , 1824 , 1823 , 1822 , 1821 , 1820 , 1819 , 1818 , 1817 , 1816 , 1815 , 1814 , 1813 , 1812 , 1811 , 1810 , 1809 , 1808 , 1807 , 1806 , 1805 , 1804 , 1803 , 1802 , 1801 , 1800 , 1799 , 1798 , 1797 , 1796 , 1795 , 1794 , 1793 , 1792 , 1791 , 1790 , 1789 , 1788 , 1787 , 1786 , 1785 , 1784 , 1783 , 1782 , 1781 , 1780 , 1779 , 1778 , 1777 , 1776 , 1775 , 1774 , 1773 , 1772 , 1771 , 1770 , 1769 , 1768 , 1767 , 1766 , 1765 , 1764 , 1763 , 1762 , 1761 , 1760 , 1759 , 1758 , 1757 , 1756 , 1755 , 1754 , 1753 , 1752 , 1751 , 1750 , 1749 , 1748 , 1747 , 1746 , 1745 , 1744 , 1743 , 1742 , 1741 , 1740 , 1739 , 1738 , 1737 , 1736 , 1735 , 1734 , 1733 , 1732 , 1731 , 1730 , 1729 , 1728 , 1727 , 1726 , 1725 , 1724 , 1723 , 1722 , 1721 , 1720 , 1719 , 1718 , 1717 , 1716 , 1715 , 1714 , 1713 , 1712 , 1711 , 1710 , 1709 , 1708 , 1707 , 1706 , 1705 , 1704 , 1703 , 1702 , 1701 , 1700 , 1699 , 1698 , 1697 , 1696 , 1695 , 1694 , 1693 , 1692 , 1691 , 1690 , 1689 , 1688 , 1687 , 1686 , 1685 , 1684 , 1683 , 1682 , 1681 , 1680 , 1679 , 1678 , 1677 , 1676 , 1675 , 1674 , 1673 , 1672 , 1671 , 1670 , 1669 , 1668 , 1667 , 1666 , 1665 , 1664 , 1663 , 1662 , 1661 , 1660 , 1659 , 1658 , 1657 , 1656 , 1655 , 1654 , 1653 , 1652 , 1651 , 1650 , 1649 , 1648 , 1647 , 1646 , 1645 , 1644 , 1643 , 1642 , 1641 , 1640 , 1639 , 1638 , 1637 , 1636 , 1635 , 1634 , 1633 , 1632 , 1631 , 1630 , 1629 , 1628 , 1627 , 1626 , 1625 , 1624 , 1623 , 1622 , 1621 , 1620 , 1619 , 1618 , 1617 , 1616 , 1615 , 1614 , 1613 , 1612 , 1611 , 1610 , 1609 , 1608 , 1607 , 1606 , 1605 , 1604 , 1603 , 1602 , 1601 , 1600 , 1599 , 1598 , 1597 , 1596 , 1595 , 1594 , 1593 , 1592 , 1591 , 1590 , 1589 , 1588 , 1587 , 1586 , 1585 , 1584 , 1583 , 1582 , 1581 , 1580 , 1579 , 1578 , 1577 , 1576 , 1575 , 1574 , 1573 , 1572 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500, 500 }
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1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870}

Returns: {56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 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1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870 }
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Returns: {66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 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Returns: {1, 8 }
{63, 60, 84, 19, 40, 6, 81, 57, 81, 96, 46, 22, 59, 49, 20, 66, 53, 7, 23, 49, 68, 18, 42, 100, 67, 50, 78, 35, 11, 84, 49, 30, 37, 98, 40, 3, 81, 52, 41, 15, 51, 77, 8, 23, 44, 53, 25, 1, 12, 3, 95, 24, 35, 17, 24, 89, 53, 28, 83, 87, 44, 36, 33, 71, 98, 5, 43, 4, 25, 74, 14, 34, 36, 71, 53, 42, 4, 67, 68, 15, 11, 72, 88, 80, 50, 96, 29, 29, 15, 1, 41, 16, 99, 93, 47, 65, 97, 58, 62, 55, 54, 59, 36, 82, 58, 28, 48, 74, 5, 80, 99, 87, 75, 57, 87, 83, 91, 27, 46, 3, 8, 74, 68, 34, 67, 25, 47, 32, 55, 43, 23, 7, 48, 62, 84, 31, 87, 78, 69, 47, 69, 98, 2, 88, 65, 63, 41, 13, 45, 90, 64, 20, 96, 6, 95, 96, 61, 43, 62, 94, 27, 42, 55, 61, 32, 83, 10, 80, 40, 13, 87, 18, 76, 12, 59, 66, 91, 78, 66, 60, 68, 31, 38, 77, 62, 24, 40, 86, 9, 48, 21, 100, 74, 76, 50, 82, 65, 97, 21, 26 }

Returns: {1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 15, 15, 15, 15, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 28, 28, 28, 28, 28, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 48, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 66, 66, 66, 66, 66, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 74, 76, 76, 82, 82, 97, 97, 97 }
{2000, 2000, 2000, 1000, 2000, 2000 }

Returns: {2000, 2000, 2000, 2000, 2000, 2000 }
{2000 }

Returns: {2000 }
{3, 7, 7, 6, 7 }

Returns: {3, 7, 7, 7, 7 }
{2000, 1999, 1998, 1997 }

Returns: {1, 1, 1, 1997 }
{1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2 }

Returns: {1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2 }
{2000, 2000, 1 }

Returns: {2000, 2000, 2000 }
{1, 5, 6, 3, 3, 4, 5 }

Returns: {1, 1, 1, 3, 3, 4, 5 }
{5, 5, 5, 2, 2, 2, 2, 2, 2, 2 }

Returns: {1, 1, 1, 2, 2, 2, 2, 2, 2, 2 }
{2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986, 1985, 1984, 1983, 1982, 1981, 1980, 1979, 1978, 1977, 1976, 1975, 1974, 1973, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1965, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 1890, 1889, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1809, 1808, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1799, 1798, 1797, 1796, 1795, 1794, 1793, 1792, 1791, 1790, 1789, 1788, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1723, 1722, 1721, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1712, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1701, 1700, 1699, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 1639, 1638, 1637, 1636, 1635, 1634, 1633, 1632, 1631, 1630, 1629, 1628, 1627, 1626, 1625, 1624, 1623, 1622, 1621, 1620, 1619, 1618, 1617, 1616, 1615, 1614, 1613, 1612, 1611, 1610, 1609, 1608, 1607, 1606, 1605, 1604, 1603, 1602, 1601, 1600, 1599, 1598, 1597, 1596, 1595, 1594, 1593, 1592, 1591, 1590, 1589, 1588, 1587, 1586, 1585, 1584, 1583, 1582, 1581, 1580, 1579, 1578, 1577, 1576, 1575, 1574, 1573, 1572, 1571, 1570, 1569, 1568, 1567, 1566, 1565, 1564, 1563, 1562, 1561, 1560, 1559, 1558, 1557, 1556, 1555, 1554, 1553, 1552, 1551, 1550, 1549, 1548, 1547, 1546, 1545, 1544, 1543, 1542, 1541, 1540, 1539, 1538, 1537, 1536, 1535, 1534, 1533, 1532, 1531, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1521, 1520, 1519, 1518, 1517, 1516, 1515, 1514, 1513, 1512, 1511, 1510, 1509, 1508, 1507, 1506, 1505, 1504, 1503, 1502, 1501, 1500, 1499, 1498, 1497, 1496, 1495, 1494, 1493, 1492, 1491, 1490, 1489, 1488, 1487, 1486, 1485, 1484, 1483, 1482, 1481, 1480, 1479, 1478, 1477, 1476, 1475, 1474, 1473, 1472, 1471, 1470, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 1462, 1461, 1460, 1459, 1458, 1457, 1456, 1455, 1454, 1453, 1452, 1451, 1450, 1449, 1448, 1447, 1446, 1445, 1444, 1443, 1442, 1441, 1440, 1439, 1438, 1437, 1436, 1435, 1434, 1433, 1432, 1431, 1430, 1429, 1428, 1427, 1426, 1425, 1424, 1423, 1422, 1421, 1420, 1419, 1418, 1417, 1416, 1415, 1414, 1413, 1412, 1411, 1410, 1409, 1408, 1407, 1406, 1405, 1404, 1403, 1402, 1401, 1400, 1399, 1398, 1397, 1396, 1395, 1394, 1393, 1392, 1391, 1390, 1389, 1388, 1387, 1386, 1385, 1384, 1383, 1382, 1381, 1380, 1379, 1378, 1377, 1376, 1375, 1374, 1373, 1372, 1371, 1370, 1369, 1368, 1367, 1366, 1365, 1364, 1363, 1362, 1361, 1360, 1359, 1358, 1357, 1356, 1355, 1354, 1353, 1352, 1351, 1350, 1349, 1348, 1347, 1346, 1345, 1344, 1343, 1342, 1341, 1340, 1339, 1338, 1337, 1336, 1335, 1334, 1333, 1332, 1331, 1330, 1329, 1328, 1327, 1326, 1325, 1324, 1323, 1322, 1321, 1320, 1319, 1318, 1317, 1316, 1315, 1314, 1313, 1312, 1311, 1310, 1309, 1308, 1307, 1306, 1305, 1304, 1303, 1302, 1301, 1300, 1299, 1298, 1297, 1296, 1295, 1294, 1293, 1292, 1291, 1290, 1289, 1288, 1287, 1286, 1285, 1284, 1283, 1282, 1281, 1280, 1279, 1278, 1277, 1276, 1275, 1274, 1273, 1272, 1271, 1270, 1269, 1268, 1267, 1266, 1265, 1264, 1263, 1262, 1261, 1260, 1259, 1258, 1257, 1256, 1255, 1254, 1253, 1252, 1251, 1250, 1249, 1248, 1247, 1246, 1245, 1244, 1243, 1242, 1241, 1240, 1239, 1238, 1237, 1236, 1235, 1234, 1233, 1232, 1231, 1230, 1229, 1228, 1227, 1226, 1225, 1224, 1223, 1222, 1221, 1220, 1219, 1218, 1217, 1216, 1215, 1214, 1213, 1212, 1211, 1210, 1209, 1208, 1207, 1206, 1205, 1204, 1203, 1202, 1201, 1200, 1199, 1198, 1197, 1196, 1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187, 1186, 1185, 1184, 1183, 1182, 1181, 1180, 1179, 1178, 1177, 1176, 1175, 1174, 1173, 1172, 1171, 1170, 1169, 1168, 1167, 1166, 1165, 1164, 1163, 1162, 1161, 1160, 1159, 1158, 1157, 1156, 1155, 1154, 1153, 1152, 1151, 1150, 1149, 1148, 1147, 1146, 1145, 1144, 1143, 1142, 1141, 1140, 1139, 1138, 1137, 1136, 1135, 1134, 1133, 1132, 1131, 1130, 1129, 1128, 1127, 1126, 1125, 1124, 1123, 1122, 1121, 1120, 1119, 1118, 1117, 1116, 1115, 1114, 1113, 1112, 1111, 1110, 1109, 1108, 1107, 1106, 1105, 1104, 1103, 1102, 1101, 1100, 1099, 1098, 1097, 1096, 1095, 1094, 1093, 1092, 1091, 1090, 1089, 1088, 1087, 1086, 1085, 1084, 1083, 1082, 1081, 1080, 1079, 1078, 1077, 1076, 1075, 1074, 1073, 1072, 1071, 1070, 1069, 1068, 1067, 1066, 1065, 1064, 1063, 1062, 1061, 1060, 1059, 1058, 1057, 1056, 1055, 1054, 1053, 1052, 1051, 1050, 1049, 1048, 1047, 1046, 1045, 1044, 1043, 1042, 1041, 1040, 1039, 1038, 1037, 1036, 1035, 1034, 1033, 1032, 1031, 1030, 1029, 1028, 1027, 1026, 1025, 1024, 1023, 1022, 1021, 1020, 1019, 1018, 1017, 1016, 1015, 1014, 1013, 1012, 1011, 1010, 1009, 1008, 1007, 1006, 1005, 1004, 1003, 1002, 1001, 1000, 999, 998, 997, 996, 995, 994, 993, 992, 991, 990, 989, 988, 987, 986, 985, 984, 983, 982, 981, 980, 979, 978, 977, 976, 975, 974, 973, 972, 971, 970, 969, 968, 967, 966, 965, 964, 963, 962, 961, 960, 959, 958, 957, 956, 955, 954, 953, 952, 951, 950, 949, 948, 947, 946, 945, 944, 943, 942, 941, 940, 939, 938, 937, 936, 935, 934, 933, 932, 931, 930, 929, 928, 927, 926, 925, 924, 923, 922, 921, 920, 919, 918, 917, 916, 915, 914, 913, 912, 911, 910, 909, 908, 907, 906, 905, 904, 903, 902, 901, 900, 899, 898, 897, 896, 895, 894, 893, 892, 891, 890, 889, 888, 887, 886, 885, 884, 883, 882, 881, 880, 879, 878, 877, 876, 875, 874, 873, 872, 871, 870, 869, 868, 867, 866, 865, 864, 863, 862, 861, 860, 859, 858, 857, 856, 855, 854, 853, 852, 851, 850, 849, 848, 847, 846, 845, 844, 843, 842, 841, 840, 839, 838, 837, 836, 835, 834, 833, 832, 831, 830, 829, 828, 827, 826, 825, 824, 823, 822, 821, 820, 819, 818, 817, 816, 815, 814, 813, 812, 811, 810, 809, 808, 807, 806, 805, 804, 803, 802, 801, 800, 799, 798, 797, 796, 795, 794, 793, 792, 791, 790, 789, 788, 787, 786, 785, 784, 783, 782, 781, 780, 779, 778, 777, 776, 775, 774, 773, 772, 771, 770, 769, 768, 767, 766, 765, 764, 763, 762, 761, 760, 759, 758, 757, 756, 755, 754, 753, 752, 751, 750, 749, 748, 747, 746, 745, 744, 743, 742, 741, 740, 739, 738, 737, 736, 735, 734, 733, 732, 731, 730, 729, 728, 727, 726, 725, 724, 723, 722, 721, 720, 719, 718, 717, 716, 715, 714, 713, 712, 711, 710, 709, 708, 707, 706, 705, 704, 703, 702, 701, 700, 699, 698, 697, 696, 695, 694, 693, 692, 691, 690, 689, 688, 687, 686, 685, 684, 683, 682, 681, 680, 679, 678, 677, 676, 675, 674, 673, 672, 671, 670, 669, 668, 667, 666, 665, 664, 663, 662, 661, 660, 659, 658, 657, 656, 655, 654, 653, 652, 651, 650, 649, 648, 647, 646, 645, 644, 643, 642, 641, 640, 639, 638, 637, 636, 635, 634, 633, 632, 631, 630, 629, 628, 627, 626, 625, 624, 623, 622, 621, 620, 619, 618, 617, 616, 615, 614, 613, 612, 611, 610, 609, 608, 607, 606, 605, 604, 603, 602, 601, 600, 599, 598, 597, 596, 595, 594, 593, 592, 591, 590, 589, 588, 587, 586, 585, 584, 583, 582, 581, 580, 579, 578, 577, 576, 575, 574, 573, 572, 571, 570, 569, 568, 567, 566, 565, 564, 563, 562, 561, 560, 559, 558, 557, 556, 555, 554, 553, 552, 551, 550, 549, 548, 547, 546, 545, 544, 543, 542, 541, 540, 539, 538, 537, 536, 535, 534, 533, 532, 531, 530, 529, 528, 527, 526, 525, 524, 523, 522, 521, 520, 519, 518, 517, 516, 515, 514, 513, 512, 511, 510, 509, 508, 507, 506, 505, 504, 503, 502, 501, 500, 499, 498, 497, 496, 495, 494, 493, 492, 491, 490, 489, 488, 487, 486, 485, 484, 483, 482, 481, 480, 479, 478, 477, 476, 475, 474, 473, 472, 471, 470, 469, 468, 467, 466, 465, 464, 463, 462, 461, 460, 459, 458, 457, 456, 455, 454, 453, 452, 451, 450, 449, 448, 447, 446, 445, 444, 443, 442, 441, 440, 439, 438, 437, 436, 435, 434, 433, 432, 431, 430, 429, 428, 427, 426, 425, 424, 423, 422, 421, 420, 419, 418, 417, 416, 415, 414, 413, 412, 411, 410, 409, 408, 407, 406, 405, 404, 403, 402, 401, 400, 399, 398, 397, 396, 395, 394, 393, 392, 391, 390, 389, 388, 387, 386, 385, 384, 383, 382, 381, 380, 379, 378, 377, 376, 375, 374, 373, 372, 371, 370, 369, 368, 367, 366, 365, 364, 363, 362, 361, 360, 359, 358, 357, 356, 355, 354, 353, 352, 351, 350, 349, 348, 347, 346, 345, 344, 343, 342, 341, 340, 339, 338, 337, 336, 335, 334, 333, 332, 331, 330, 329, 328, 327, 326, 325, 324, 323, 322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 310, 309, 308, 307, 306, 305, 304, 303, 302, 301, 300, 299, 298, 297, 296, 295, 294, 293, 292, 291, 290, 289, 288, 287, 286, 285, 284, 283, 282, 281, 280, 279, 278, 277, 276, 275, 274, 273, 272, 271, 270, 269, 268, 267, 266, 265, 264, 263, 262, 261, 260, 259, 258, 257, 256, 255, 254, 253, 252, 251, 250, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 238, 237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215, 214, 213, 212, 211, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151, 150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{2000, 2000, 1999 }

Returns: {2000, 2000, 2000 }
{2, 5, 6, 3, 3, 4, 5 }

Returns: {2, 2, 2, 3, 3, 4, 5 }
{5, 9, 8, 7, 6, 1, 1, 1 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1 }
{3 }

Returns: {3 }
{2000, 1985, 1986, 2000, 1, 5, 7, 9, 180, 2000, 1525, 333, 2, 3, 898, 99, 255, 11, 25, 33, 200, 1 }

Returns: {1, 1, 1, 1, 1, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 25, 33, 200, 200 }
{7, 7, 7 }

Returns: {7, 7, 7 }
{33, 33, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 4, 7 }

Returns: {1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7 }
{4, 7, 3, 8, 9 }

Returns: {4, 7, 7, 8, 9 }
{1001, 2000, 1999 }

Returns: {1001, 1001, 1999 }
{1444, 1447, 1444 }

Returns: {1444, 1444, 1444 }
{1, 5, 3, 4 }

Returns: {1, 1, 3, 4 }
{2, 33, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 4, 7 }

Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7 }
{9, 9, 1, 1, 1, 1, 1, 1, 1, 1 }

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

Statistics

Problem Statement for "ArraySorting"

Problem Statement

Definition

Notes

Constraints

Examples