Statistics

Problem Statement for "Indivisible"

Problem Statement

Given a positive integer n, you are to find the largest subset S of {1,...,n} such that no member of S is divisible by another member of S. If there is more than one subset of the maximum size, choose the lexicographically earliest such subset. A subset S is lexicographically earlier than a subset T if the smallest element that is a member of one of the subsets, but not both, is a member of S. Return the subset S as a int[] in increasing order.

Definition

Class:
Indivisible
Method:
largestSubset
Parameters:
int
Returns:
int[]
Method signature:
int[] largestSubset(int n)
(be sure your method is public)

Constraints

  • n is between 1 and 1000, inclusive.

Examples

  1. 10

    Returns: {4, 5, 6, 7, 9 }

    There are several possible subsets of size 5, such as { 4,6,7,9,10 }, but { 4,5,6,7,9 } is the lexicographically earliest.

  2. 20

    Returns: {4, 6, 7, 9, 10, 11, 13, 15, 17, 19 }

  3. 100

    Returns: {16, 20, 24, 26, 28, 30, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99 }

  4. 1000

    Returns: {64, 80, 96, 104, 112, 120, 136, 144, 152, 156, 164, 168, 172, 176, 180, 184, 188, 196, 200, 204, 212, 216, 220, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 248, 250, 252, 254, 258, 260, 262, 264, 266, 268, 270, 274, 276, 278, 280, 282, 284, 286, 290, 292, 294, 296, 298, 300, 302, 306, 308, 310, 314, 316, 318, 322, 324, 326, 330, 332, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 412, 413, 414, 415, 417, 418, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 431, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 542, 543, 545, 546, 547, 549, 550, 551, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590, 591, 593, 594, 595, 597, 598, 599, 601, 602, 603, 605, 606, 607, 609, 610, 611, 613, 614, 615, 617, 618, 619, 621, 622, 623, 625, 626, 627, 629, 630, 631, 633, 634, 635, 637, 638, 639, 641, 642, 643, 645, 646, 647, 649, 650, 651, 653, 654, 655, 657, 658, 659, 661, 662, 663, 665, 666, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 911, 913, 915, 917, 919, 921, 923, 925, 927, 929, 931, 933, 935, 937, 939, 941, 943, 945, 947, 949, 951, 953, 955, 957, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999 }

  5. 1

    Returns: {1 }

  6. 5

    Returns: {2, 3, 5 }

  7. 24

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21, 23 }

  8. 2

    Returns: {1 }

  9. 3

    Returns: {2, 3 }

  10. 4

    Returns: {2, 3 }

  11. 6

    Returns: {2, 3, 5 }

  12. 7

    Returns: {2, 3, 5, 7 }

  13. 8

    Returns: {2, 3, 5, 7 }

  14. 9

    Returns: {4, 5, 6, 7, 9 }

  15. 11

    Returns: {4, 5, 6, 7, 9, 11 }

  16. 12

    Returns: {4, 5, 6, 7, 9, 11 }

  17. 13

    Returns: {4, 5, 6, 7, 9, 11, 13 }

  18. 14

    Returns: {4, 5, 6, 7, 9, 11, 13 }

  19. 15

    Returns: {4, 6, 7, 9, 10, 11, 13, 15 }

  20. 16

    Returns: {4, 6, 7, 9, 10, 11, 13, 15 }

  21. 17

    Returns: {4, 6, 7, 9, 10, 11, 13, 15, 17 }

  22. 18

    Returns: {4, 6, 7, 9, 10, 11, 13, 15, 17 }

  23. 19

    Returns: {4, 6, 7, 9, 10, 11, 13, 15, 17, 19 }

  24. 21

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21 }

  25. 22

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21 }

  26. 23

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21, 23 }

  27. 25

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21, 23, 25 }

  28. 26

    Returns: {4, 6, 9, 10, 11, 13, 14, 15, 17, 19, 21, 23, 25 }

  29. 27

    Returns: {8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 25, 27 }

  30. 28

    Returns: {8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 25, 27 }

  31. 29

    Returns: {8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 25, 27, 29 }

  32. 30

    Returns: {8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 25, 27, 29 }

  33. 37

    Returns: {8, 10, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37 }

  34. 45

    Returns: {8, 12, 14, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 35, 37, 39, 41, 43, 45 }

  35. 68

    Returns: {8, 12, 18, 20, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67 }

  36. 90

    Returns: {16, 20, 22, 24, 26, 28, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89 }

  37. 128

    Returns: {16, 20, 24, 28, 30, 34, 36, 38, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127 }

  38. 144

    Returns: {16, 24, 28, 34, 36, 38, 40, 42, 44, 46, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143 }

  39. 151

    Returns: {16, 24, 28, 34, 36, 38, 40, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 98, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151 }

  40. 177

    Returns: {16, 24, 28, 36, 40, 42, 44, 46, 50, 52, 54, 58, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 98, 99, 101, 102, 103, 105, 106, 107, 109, 110, 111, 113, 114, 115, 117, 118, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177 }

  41. 255

    Returns: {32, 40, 44, 48, 52, 56, 58, 60, 62, 66, 68, 70, 72, 74, 76, 78, 82, 84, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 117, 118, 119, 121, 122, 123, 125, 126, 127, 129, 130, 131, 133, 134, 135, 137, 138, 139, 141, 142, 143, 145, 146, 147, 149, 150, 151, 153, 154, 155, 157, 158, 159, 161, 162, 163, 165, 166, 167, 169, 170, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255 }

  42. 257

    Returns: {32, 40, 44, 48, 52, 56, 58, 60, 62, 66, 68, 70, 72, 74, 76, 78, 82, 84, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 117, 118, 119, 121, 122, 123, 125, 126, 127, 129, 130, 131, 133, 134, 135, 137, 138, 139, 141, 142, 143, 145, 146, 147, 149, 150, 151, 153, 154, 155, 157, 158, 159, 161, 162, 163, 165, 166, 167, 169, 170, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257 }

  43. 304

    Returns: {32, 40, 48, 52, 56, 60, 68, 70, 72, 74, 76, 78, 82, 84, 86, 88, 90, 92, 94, 98, 100, 102, 103, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 137, 138, 139, 141, 142, 143, 145, 146, 147, 149, 150, 151, 153, 154, 155, 157, 158, 159, 161, 162, 163, 165, 166, 167, 169, 170, 171, 173, 174, 175, 177, 178, 179, 181, 182, 183, 185, 186, 187, 189, 190, 191, 193, 194, 195, 197, 198, 199, 201, 202, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303 }

  44. 416

    Returns: {32, 48, 56, 68, 72, 76, 80, 84, 88, 92, 94, 98, 100, 102, 104, 106, 108, 110, 114, 116, 118, 120, 122, 124, 126, 130, 132, 134, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 153, 154, 155, 156, 157, 158, 159, 161, 162, 163, 164, 165, 166, 167, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 183, 185, 186, 187, 189, 190, 191, 193, 194, 195, 197, 198, 199, 201, 202, 203, 205, 206, 207, 209, 210, 211, 213, 214, 215, 217, 218, 219, 221, 222, 223, 225, 226, 227, 229, 230, 231, 233, 234, 235, 237, 238, 239, 241, 242, 243, 245, 246, 247, 249, 250, 251, 253, 254, 255, 257, 258, 259, 261, 262, 263, 265, 266, 267, 269, 270, 271, 273, 274, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 395, 397, 399, 401, 403, 405, 407, 409, 411, 413, 415 }

  45. 621

    Returns: {32, 48, 72, 80, 88, 100, 104, 108, 112, 116, 120, 124, 132, 136, 140, 142, 146, 148, 150, 152, 154, 156, 158, 162, 164, 166, 168, 170, 172, 174, 178, 180, 182, 184, 186, 188, 190, 194, 196, 198, 202, 204, 206, 209, 210, 211, 212, 213, 214, 215, 217, 218, 219, 220, 221, 222, 223, 225, 226, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 238, 239, 241, 242, 243, 244, 245, 246, 247, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 270, 271, 273, 274, 275, 276, 277, 278, 279, 281, 282, 283, 285, 286, 287, 289, 290, 291, 293, 294, 295, 297, 298, 299, 301, 302, 303, 305, 306, 307, 309, 310, 311, 313, 314, 315, 317, 318, 319, 321, 322, 323, 325, 326, 327, 329, 330, 331, 333, 334, 335, 337, 338, 339, 341, 342, 343, 345, 346, 347, 349, 350, 351, 353, 354, 355, 357, 358, 359, 361, 362, 363, 365, 366, 367, 369, 370, 371, 373, 374, 375, 377, 378, 379, 381, 382, 383, 385, 386, 387, 389, 390, 391, 393, 394, 395, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 413, 414, 415, 417, 419, 421, 423, 425, 427, 429, 431, 433, 435, 437, 439, 441, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499, 501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621 }

  46. 707

    Returns: {32, 48, 72, 80, 88, 104, 108, 112, 116, 120, 124, 132, 136, 140, 148, 152, 156, 158, 162, 164, 166, 168, 170, 172, 174, 178, 180, 182, 184, 186, 188, 190, 194, 196, 198, 200, 202, 204, 206, 210, 212, 214, 218, 220, 222, 226, 228, 230, 234, 236, 237, 238, 239, 241, 242, 243, 244, 245, 246, 247, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 270, 271, 273, 274, 275, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 289, 290, 291, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 317, 318, 319, 321, 322, 323, 325, 326, 327, 329, 330, 331, 333, 334, 335, 337, 338, 339, 341, 342, 343, 345, 346, 347, 349, 350, 351, 353, 354, 355, 357, 358, 359, 361, 362, 363, 365, 366, 367, 369, 370, 371, 373, 374, 375, 377, 378, 379, 381, 382, 383, 385, 386, 387, 389, 390, 391, 393, 394, 395, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 413, 414, 415, 417, 418, 419, 421, 422, 423, 425, 426, 427, 429, 430, 431, 433, 434, 435, 437, 438, 439, 441, 442, 443, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499, 501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707 }

  47. 812

    Returns: {64, 80, 88, 96, 104, 112, 120, 124, 132, 136, 140, 144, 148, 152, 156, 164, 168, 172, 180, 182, 184, 186, 188, 190, 194, 196, 198, 200, 202, 204, 206, 210, 212, 214, 216, 218, 220, 222, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 250, 252, 254, 258, 260, 262, 266, 268, 270, 271, 273, 274, 275, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 289, 290, 291, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 365, 366, 367, 369, 370, 371, 373, 374, 375, 377, 378, 379, 381, 382, 383, 385, 386, 387, 389, 390, 391, 393, 394, 395, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 413, 414, 415, 417, 418, 419, 421, 422, 423, 425, 426, 427, 429, 430, 431, 433, 434, 435, 437, 438, 439, 441, 442, 443, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811 }

  48. 888

    Returns: {64, 80, 88, 96, 104, 112, 120, 132, 136, 140, 144, 148, 152, 156, 164, 168, 172, 180, 184, 188, 196, 198, 200, 202, 204, 206, 210, 212, 214, 216, 218, 220, 222, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 248, 250, 252, 254, 258, 260, 262, 266, 268, 270, 274, 276, 278, 282, 284, 286, 290, 292, 294, 297, 298, 299, 300, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 413, 414, 415, 417, 418, 419, 421, 422, 423, 425, 426, 427, 429, 430, 431, 433, 434, 435, 437, 438, 439, 441, 442, 443, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 542, 543, 545, 546, 547, 549, 550, 551, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887 }

  49. 900

    Returns: {64, 80, 96, 104, 112, 120, 136, 140, 144, 148, 152, 156, 164, 168, 172, 176, 180, 184, 188, 196, 200, 202, 204, 206, 210, 212, 214, 216, 218, 220, 222, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 248, 250, 252, 254, 258, 260, 262, 264, 266, 268, 270, 274, 276, 278, 282, 284, 286, 290, 292, 294, 298, 300, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 401, 402, 403, 405, 406, 407, 409, 410, 411, 413, 414, 415, 417, 418, 419, 421, 422, 423, 425, 426, 427, 429, 430, 431, 433, 434, 435, 437, 438, 439, 441, 442, 443, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 542, 543, 545, 546, 547, 549, 550, 551, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590, 591, 593, 594, 595, 597, 598, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899 }

  50. 938

    Returns: {64, 80, 96, 104, 112, 120, 136, 140, 144, 148, 152, 156, 164, 168, 172, 176, 180, 184, 188, 196, 200, 204, 210, 212, 214, 216, 218, 220, 222, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 248, 250, 252, 254, 258, 260, 262, 264, 266, 268, 270, 274, 276, 278, 282, 284, 286, 290, 292, 294, 298, 300, 302, 306, 308, 310, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 412, 413, 414, 415, 417, 418, 419, 421, 422, 423, 425, 426, 427, 429, 430, 431, 433, 434, 435, 437, 438, 439, 441, 442, 443, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 542, 543, 545, 546, 547, 549, 550, 551, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590, 591, 593, 594, 595, 597, 598, 599, 601, 602, 603, 605, 606, 607, 609, 610, 611, 613, 614, 615, 617, 618, 619, 621, 622, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 911, 913, 915, 917, 919, 921, 923, 925, 927, 929, 931, 933, 935, 937 }

  51. 999

    Returns: {64, 80, 96, 104, 112, 120, 136, 144, 152, 156, 164, 168, 172, 176, 180, 184, 188, 196, 200, 204, 212, 216, 220, 226, 228, 230, 232, 234, 236, 238, 242, 244, 246, 248, 250, 252, 254, 258, 260, 262, 264, 266, 268, 270, 274, 276, 278, 280, 282, 284, 286, 290, 292, 294, 296, 298, 300, 302, 306, 308, 310, 314, 316, 318, 322, 324, 326, 330, 332, 334, 335, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371, 372, 373, 374, 375, 377, 378, 379, 380, 381, 382, 383, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 412, 413, 414, 415, 417, 418, 419, 420, 421, 422, 423, 425, 426, 427, 428, 429, 430, 431, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 445, 446, 447, 449, 450, 451, 453, 454, 455, 457, 458, 459, 461, 462, 463, 465, 466, 467, 469, 470, 471, 473, 474, 475, 477, 478, 479, 481, 482, 483, 485, 486, 487, 489, 490, 491, 493, 494, 495, 497, 498, 499, 501, 502, 503, 505, 506, 507, 509, 510, 511, 513, 514, 515, 517, 518, 519, 521, 522, 523, 525, 526, 527, 529, 530, 531, 533, 534, 535, 537, 538, 539, 541, 542, 543, 545, 546, 547, 549, 550, 551, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590, 591, 593, 594, 595, 597, 598, 599, 601, 602, 603, 605, 606, 607, 609, 610, 611, 613, 614, 615, 617, 618, 619, 621, 622, 623, 625, 626, 627, 629, 630, 631, 633, 634, 635, 637, 638, 639, 641, 642, 643, 645, 646, 647, 649, 650, 651, 653, 654, 655, 657, 658, 659, 661, 662, 663, 665, 666, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 911, 913, 915, 917, 919, 921, 923, 925, 927, 929, 931, 933, 935, 937, 939, 941, 943, 945, 947, 949, 951, 953, 955, 957, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999 }

  52. 2

    Returns: {1 }

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