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[[514,130,38]] d ≤
n
514
k
130
d
38
kd²/n
365.214
w
24
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 38, d_Z ≤ 38 · w_X = 24, w_Z = 24 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 38 · witness weight 38 (claimed upper_bound)
witness operator (support, 38 qubits)
[72, 82, 92, 97, 121, 134, 174, 187, 211, 216, 226, 236, 258, 268, 276, 286, 306, 314, 315, 322, 336, 338, 341, 348, 369, 387, 391, 410, 414, 432, 453, 460, 463, 465, 479, 486, 487, 495]
d_Z 38 · witness weight 38 (claimed upper_bound)
witness operator (support, 38 qubits)
[40, 63, 72, 86, 90, 99, 109, 110, 112, 145, 147, 148, 158, 167, 171, 185, 194, 217, 260, 289, 310, 320, 337, 349, 352, 365, 369, 381, 385, 398, 401, 413, 430, 440, 461, 490, 495, 512]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Diagnostics

computed by the verifier from the parity checks, the layout, and the stored witnesses; shown as evidence, not used for ranking
girth H_X 4 · H_Z 4 (shortest cycle of each side’s Tanner graph; longer is friendlier to belief propagation)
check weights H_X 24 · H_Z 24
qubit degrees H_X 12 · H_Z 12
trapping sets H_X (1,12)×514 (2,16)×1028 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_X
(1,12): 514 (2,16): 1028 (2,18): 1542 (2,20): 18504 (2,22): 25186
trapping sets H_Z (1,12)×514 (2,16)×1028 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)
full (size, syndrome weight): count census for H_Z
(1,12): 514 (2,16): 1028 (2,18): 1542 (2,20): 18504 (2,22): 25186

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty known parameter set; see provenance notes
construction Cyclic generalized-bicycle code on the ring x257 - 1 with a(x) = x8 + x43 + x82 + x89 + x95 + x100 + x143 + x165 + x208 + x213 + x219 + x226, b(x) = x9 + x21 + x57 + x77 + x97 + x103 + x132 + x155 + x184 + x190 + x210 + x230; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]. a and b are low-weight codewords of the ideal of a divisor of x257 - 1 of degree 65, fixing k = 2 deg gcd(a, b, x^m - 1) = 130.
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-12
notes Designed-divisor construction: the divisor is a product of cyclotomic-coset minimal polynomials over GF(2^ord_2(m)), so its degree and hence k are chosen rather than inherited, and a and b are drawn from its ideal by information-set decoding. Distance is a witness-backed upper bound: both witnesses are orbit-fold logicals (the fold the PR gate runs, verify/heuristic_distance.py), constant on the orbits of the code's block reflections and lighter than anything 24 random information-set seeds at 2,000,000 trials each or 300,000,000 GPU trials per side found; both re-verified against these matrices.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

[[514,130,38]] weight-24 cyclic generalized-bicycle from a designed divisor

Direction & hypothesis

No board entry at n <= 514 reaches k >= 110 and d >= 41 at any row weight, so the opening was dimension and distance together at moderate blocklength. A residue construction cannot aim there: it fixes k between 20 and 34 whatever the ring. Since k = 2 deg gcd(a, b, x^m - 1), choosing a divisor of x^m - 1 and drawing a and b from its ideal selects the dimension instead, and here a degree-65 divisor gives k = 130.

Two facts govern the construction, both checked rather than assumed. x^m - 1 is squarefree over GF(2) only for odd m, which makes m = 257 usable and the even moduli of a residue sweep unusable. And the generators are low-weight codewords of the cyclic code the divisor generates, found by information-set decoding inside that ideal.

What was searched

The divisor is a product of cyclotomic-coset minimal polynomials over GF(2^16), so its degree is chosen; sampling sparse polynomials and taking gcds with x^m - 1 lands on a target degree almost never and kept 0 of 12 draws in an earlier attempt. Sweeping deg g / m from 0.04 to 0.30 over many coset subsets at nine odd moduli produced 299 priced candidates, 245 undominated after folding, 137 distinct shapes.

Evidence trail

The claim is a witness-backed upper bound with a weight-38 X witness and a weight-38 Z witness, both orbit-fold logicals.

random information set, 24 seeds x 2e6 X 52, Z 51 (median 55) verify/ris_gpu.py, 3e8 trials per side, 2 seeds X 49, Z 47 verify/heuristic_distance.estimate, 3e7 fast trials 52 PR gate orbit fold (#3354, 2026-10-12) X 42 verify/heuristic_distance.orbit_fold_min_logical X 40, Z 40 (2e5 trials per partition, seeds 41, 42) same fold X 38, Z 38 (2e6 trials per partition, seeds 51, 52) same fold, one process per partition and side X 38, Z 38 (1e7 trials each, 8 partitions) research/foldbound.py nothing to fold (257 is prime) verify/validate_candidate.py passed at 38, not refuted

The code has an order-2 symmetry the gate's fold reads from the matrices: the reflection i -> 51 - i on the first block and j -> 30 - j on the second, both mod 257, together with its compositions with the cyclic shift. Logicals constant on its orbits are unions of mirror pairs, and the lightest ones sit in a subspace random information sets do not sample: 48 million CPU trials and 600 million GPU trials on the full code never went below 47. research/foldbound.py folds over cyclic-shift subgroups, of which x^257 - 1 has none. The gate's fold refuted the original claim of 51 with a weight-42 X logical; the same fold reached 40 at 2e5 trials per partition and 38 at 2e6, and a tenfold deeper pass, one process per partition and side, found nothing below 38 in sixteen independent runs. The earlier steps each bought two in weight, so the true distance may still be lower; the claim is the best bound found. Both witnesses were re-verified against the committed matrices, in the kernel of the opposite checks and outside the row space of their own side.

Dead ends

Row weight is this construction's price and the schema is its ceiling. schema/code.schema.json caps each check's support at 32 entries, so a heavier code cannot be submitted whatever it scores. Two candidates from this sweep passed full 24-seed gates at row weights 48 and 58, one of them scoring kd^2/n = 1493.1, and neither is submittable. Rebuilding the heavier one under the cap is impossible: the lightest codewords in its degree-101 divisor's ideal are weight 26 to 34, so any pair of generators sums to at least 52. A Gilbert-Varshamov estimate suggesting weight 16 was reachable is wrong for a cyclic ideal, which is structured rather than random.

Every distance in this family falls as search depth rises, so triage figures are not findings. This code was screened at 60 by a 20,000-trial reading and gated at 51; a sibling went 86, then 82, then 74 across three budgets; and one candidate's score fell from 571.4 to 115.7 once folded.

Tools

Claude Opus 5 under Claude Code. verify/gf2_fast for the random information-set search, research/foldbound.py for the symmetric fold, verify/validate_candidate.py for the gate. The divisor construction and its sweep are described above in enough detail to rewrite; they are not committed here. The 24-seed scan took 6,198s on eight cores.

Reproduction

ring x^257 - 1 H_X = [circ(a) | circ(b)] H_Z = [circ(b)^T | circ(a)^T]

n = 2m = 514 and k = 2 deg gcd(a, b, x^m - 1) = 130. The exponents of a and b are in codes/514-130-38.json under provenance.construction.

Parity checks

X-checks 257 (max weight 24) · Z-checks 257 (max weight 24)
H_X (257 checks, sparse supports)
[8, 43, 82, 89, 95, 100, 143, 165, 208, 213, 219, 226, 266, 278, 314, 334, 354, 360, 389, 412, 441, 447, 467, 487] [9, 44, 83, 90, 96, 101, 144, 166, 209, 214, 220, 227, 267, 279, 315, 335, 355, 361, 390, 413, 442, 448, 468, 488] [10, 45, 84, 91, 97, 102, 145, 167, 210, 215, 221, 228, 268, 280, 316, 336, 356, 362, 391, 414, 443, 449, 469, 489] [11, 46, 85, 92, 98, 103, 146, 168, 211, 216, 222, 229, 269, 281, 317, 337, 357, 363, 392, 415, 444, 450, 470, 490] [12, 47, 86, 93, 99, 104, 147, 169, 212, 217, 223, 230, 270, 282, 318, 338, 358, 364, 393, 416, 445, 451, 471, 491] [13, 48, 87, 94, 100, 105, 148, 170, 213, 218, 224, 231, 271, 283, 319, 339, 359, 365, 394, 417, 446, 452, 472, 492] [14, 49, 88, 95, 101, 106, 149, 171, 214, 219, 225, 232, 272, 284, 320, 340, 360, 366, 395, 418, 447, 453, 473, 493] [15, 50, 89, 96, 102, 107, 150, 172, 215, 220, 226, 233, 273, 285, 321, 341, 361, 367, 396, 419, 448, 454, 474, 494] [16, 51, 90, 97, 103, 108, 151, 173, 216, 221, 227, 234, 274, 286, 322, 342, 362, 368, 397, 420, 449, 455, 475, 495] [17, 52, 91, 98, 104, 109, 152, 174, 217, 222, 228, 235, 275, 287, 323, 343, 363, 369, 398, 421, 450, 456, 476, 496] [18, 53, 92, 99, 105, 110, 153, 175, 218, 223, 229, 236, 276, 288, 324, 344, 364, 370, 399, 422, 451, 457, 477, 497] [19, 54, 93, 100, 106, 111, 154, 176, 219, 224, 230, 237, 277, 289, 325, 345, 365, 371, 400, 423, 452, 458, 478, 498] [20, 55, 94, 101, 107, 112, 155, 177, 220, 225, 231, 238, 278, 290, 326, 346, 366, 372, 401, 424, 453, 459, 479, 499] [21, 56, 95, 102, 108, 113, 156, 178, 221, 226, 232, 239, 279, 291, 327, 347, 367, 373, 402, 425, 454, 460, 480, 500] [22, 57, 96, 103, 109, 114, 157, 179, 222, 227, 233, 240, 280, 292, 328, 348, 368, 374, 403, 426, 455, 461, 481, 501] [23, 58, 97, 104, 110, 115, 158, 180, 223, 228, 234, 241, 281, 293, 329, 349, 369, 375, 404, 427, 456, 462, 482, 502] [24, 59, 98, 105, 111, 116, 159, 181, 224, 229, 235, 242, 282, 294, 330, 350, 370, 376, 405, 428, 457, 463, 483, 503] [25, 60, 99, 106, 112, 117, 160, 182, 225, 230, 236, 243, 283, 295, 331, 351, 371, 377, 406, 429, 458, 464, 484, 504] [26, 61, 100, 107, 113, 118, 161, 183, 226, 231, 237, 244, 284, 296, 332, 352, 372, 378, 407, 430, 459, 465, 485, 505] [27, 62, 101, 108, 114, 119, 162, 184, 227, 232, 238, 245, 285, 297, 333, 353, 373, 379, 408, 431, 460, 466, 486, 506] [28, 63, 102, 109, 115, 120, 163, 185, 228, 233, 239, 246, 286, 298, 334, 354, 374, 380, 409, 432, 461, 467, 487, 507] [29, 64, 103, 110, 116, 121, 164, 186, 229, 234, 240, 247, 287, 299, 335, 355, 375, 381, 410, 433, 462, 468, 488, 508] [30, 65, 104, 111, 117, 122, 165, 187, 230, 235, 241, 248, 288, 300, 336, 356, 376, 382, 411, 434, 463, 469, 489, 509] [31, 66, 105, 112, 118, 123, 166, 188, 231, 236, 242, 249, 289, 301, 337, 357, 377, 383, 412, 435, 464, 470, 490, 510] [32, 67, 106, 113, 119, 124, 167, 189, 232, 237, 243, 250, 290, 302, 338, 358, 378, 384, 413, 436, 465, 471, 491, 511] [33, 68, 107, 114, 120, 125, 168, 190, 233, 238, 244, 251, 291, 303, 339, 359, 379, 385, 414, 437, 466, 472, 492, 512] [34, 69, 108, 115, 121, 126, 169, 191, 234, 239, 245, 252, 292, 304, 340, 360, 380, 386, 415, 438, 467, 473, 493, 513] [35, 70, 109, 116, 122, 127, 170, 192, 235, 240, 246, 253, 257, 293, 305, 341, 361, 381, 387, 416, 439, 468, 474, 494] [36, 71, 110, 117, 123, 128, 171, 193, 236, 241, 247, 254, 258, 294, 306, 342, 362, 382, 388, 417, 440, 469, 475, 495] [37, 72, 111, 118, 124, 129, 172, 194, 237, 242, 248, 255, 259, 295, 307, 343, 363, 383, 389, 418, 441, 470, 476, 496] [38, 73, 112, 119, 125, 130, 173, 195, 238, 243, 249, 256, 260, 296, 308, 344, 364, 384, 390, 419, 442, 471, 477, 497] [0, 39, 74, 113, 120, 126, 131, 174, 196, 239, 244, 250, 261, 297, 309, 345, 365, 385, 391, 420, 443, 472, 478, 498] [1, 40, 75, 114, 121, 127, 132, 175, 197, 240, 245, 251, 262, 298, 310, 346, 366, 386, 392, 421, 444, 473, 479, 499] [2, 41, 76, 115, 122, 128, 133, 176, 198, 241, 246, 252, 263, 299, 311, 347, 367, 387, 393, 422, 445, 474, 480, 500] [3, 42, 77, 116, 123, 129, 134, 177, 199, 242, 247, 253, 264, 300, 312, 348, 368, 388, 394, 423, 446, 475, 481, 501] [4, 43, 78, 117, 124, 130, 135, 178, 200, 243, 248, 254, 265, 301, 313, 349, 369, 389, 395, 424, 447, 476, 482, 502] [5, 44, 79, 118, 125, 131, 136, 179, 201, 244, 249, 255, 266, 302, 314, 350, 370, 390, 396, 425, 448, 477, 483, 503] [6, 45, 80, 119, 126, 132, 137, 180, 202, 245, 250, 256, 267, 303, 315, 351, 371, 391, 397, 426, 449, 478, 484, 504] [0, 7, 46, 81, 120, 127, 133, 138, 181, 203, 246, 251, 268, 304, 316, 352, 372, 392, 398, 427, 450, 479, 485, 505] [1, 8, 47, 82, 121, 128, 134, 139, 182, 204, 247, 252, 269, 305, 317, 353, 373, 393, 399, 428, 451, 480, 486, 506] [2, 9, 48, 83, 122, 129, 135, 140, 183, 205, 248, 253, 270, 306, 318, 354, 374, 394, 400, 429, 452, 481, 487, 507] [3, 10, 49, 84, 123, 130, 136, 141, 184, 206, 249, 254, 271, 307, 319, 355, 375, 395, 401, 430, 453, 482, 488, 508] [4, 11, 50, 85, 124, 131, 137, 142, 185, 207, 250, 255, 272, 308, 320, 356, 376, 396, 402, 431, 454, 483, 489, 509] [5, 12, 51, 86, 125, 132, 138, 143, 186, 208, 251, 256, 273, 309, 321, 357, 377, 397, 403, 432, 455, 484, 490, 510] [0, 6, 13, 52, 87, 126, 133, 139, 144, 187, 209, 252, 274, 310, 322, 358, 378, 398, 404, 433, 456, 485, 491, 511] [1, 7, 14, 53, 88, 127, 134, 140, 145, 188, 210, 253, 275, 311, 323, 359, 379, 399, 405, 434, 457, 486, 492, 512] [2, 8, 15, 54, 89, 128, 135, 141, 146, 189, 211, 254, 276, 312, 324, 360, 380, 400, 406, 435, 458, 487, 493, 513] [3, 9, 16, 55, 90, 129, 136, 142, 147, 190, 212, 255, 257, 277, 313, 325, 361, 381, 401, 407, 436, 459, 488, 494] [4, 10, 17, 56, 91, 130, 137, 143, 148, 191, 213, 256, 258, 278, 314, 326, 362, 382, 402, 408, 437, 460, 489, 495] [0, 5, 11, 18, 57, 92, 131, 138, 144, 149, 192, 214, 259, 279, 315, 327, 363, 383, 403, 409, 438, 461, 490, 496] [1, 6, 12, 19, 58, 93, 132, 139, 145, 150, 193, 215, 260, 280, 316, 328, 364, 384, 404, 410, 439, 462, 491, 497] [2, 7, 13, 20, 59, 94, 133, 140, 146, 151, 194, 216, 261, 281, 317, 329, 365, 385, 405, 411, 440, 463, 492, 498] [3, 8, 14, 21, 60, 95, 134, 141, 147, 152, 195, 217, 262, 282, 318, 330, 366, 386, 406, 412, 441, 464, 493, 499] [4, 9, 15, 22, 61, 96, 135, 142, 148, 153, 196, 218, 263, 283, 319, 331, 367, 387, 407, 413, 442, 465, 494, 500] [5, 10, 16, 23, 62, 97, 136, 143, 149, 154, 197, 219, 264, 284, 320, 332, 368, 388, 408, 414, 443, 466, 495, 501] [6, 11, 17, 24, 63, 98, 137, 144, 150, 155, 198, 220, 265, 285, 321, 333, 369, 389, 409, 415, 444, 467, 496, 502] [7, 12, 18, 25, 64, 99, 138, 145, 151, 156, 199, 221, 266, 286, 322, 334, 370, 390, 410, 416, 445, 468, 497, 503] [8, 13, 19, 26, 65, 100, 139, 146, 152, 157, 200, 222, 267, 287, 323, 335, 371, 391, 411, 417, 446, 469, 498, 504] [9, 14, 20, 27, 66, 101, 140, 147, 153, 158, 201, 223, 268, 288, 324, 336, 372, 392, 412, 418, 447, 470, 499, 505] [10, 15, 21, 28, 67, 102, 141, 148, 154, 159, 202, 224, 269, 289, 325, 337, 373, 393, 413, 419, 448, 471, 500, 506] [11, 16, 22, 29, 68, 103, 142, 149, 155, 160, 203, 225, 270, 290, 326, 338, 374, 394, 414, 420, 449, 472, 501, 507] [12, 17, 23, 30, 69, 104, 143, 150, 156, 161, 204, 226, 271, 291, 327, 339, 375, 395, 415, 421, 450, 473, 502, 508] [13, 18, 24, 31, 70, 105, 144, 151, 157, 162, 205, 227, 272, 292, 328, 340, 376, 396, 416, 422, 451, 474, 503, 509] [14, 19, 25, 32, 71, 106, 145, 152, 158, 163, 206, 228, 273, 293, 329, 341, 377, 397, 417, 423, 452, 475, 504, 510] [15, 20, 26, 33, 72, 107, 146, 153, 159, 164, 207, 229, 274, 294, 330, 342, 378, 398, 418, 424, 453, 476, 505, 511] [16, 21, 27, 34, 73, 108, 147, 154, 160, 165, 208, 230, 275, 295, 331, 343, 379, 399, 419, 425, 454, 477, 506, 512] [17, 22, 28, 35, 74, 109, 148, 155, 161, 166, 209, 231, 276, 296, 332, 344, 380, 400, 420, 426, 455, 478, 507, 513] [18, 23, 29, 36, 75, 110, 149, 156, 162, 167, 210, 232, 257, 277, 297, 333, 345, 381, 401, 421, 427, 456, 479, 508] [19, 24, 30, 37, 76, 111, 150, 157, 163, 168, 211, 233, 258, 278, 298, 334, 346, 382, 402, 422, 428, 457, 480, 509] [20, 25, 31, 38, 77, 112, 151, 158, 164, 169, 212, 234, 259, 279, 299, 335, 347, 383, 403, 423, 429, 458, 481, 510] [21, 26, 32, 39, 78, 113, 152, 159, 165, 170, 213, 235, 260, 280, 300, 336, 348, 384, 404, 424, 430, 459, 482, 511] [22, 27, 33, 40, 79, 114, 153, 160, 166, 171, 214, 236, 261, 281, 301, 337, 349, 385, 405, 425, 431, 460, 483, 512] [23, 28, 34, 41, 80, 115, 154, 161, 167, 172, 215, 237, 262, 282, 302, 338, 350, 386, 406, 426, 432, 461, 484, 513] [24, 29, 35, 42, 81, 116, 155, 162, 168, 173, 216, 238, 257, 263, 283, 303, 339, 351, 387, 407, 427, 433, 462, 485] [25, 30, 36, 43, 82, 117, 156, 163, 169, 174, 217, 239, 258, 264, 284, 304, 340, 352, 388, 408, 428, 434, 463, 486] [26, 31, 37, 44, 83, 118, 157, 164, 170, 175, 218, 240, 259, 265, 285, 305, 341, 353, 389, 409, 429, 435, 464, 487] [27, 32, 38, 45, 84, 119, 158, 165, 171, 176, 219, 241, 260, 266, 286, 306, 342, 354, 390, 410, 430, 436, 465, 488] [28, 33, 39, 46, 85, 120, 159, 166, 172, 177, 220, 242, 261, 267, 287, 307, 343, 355, 391, 411, 431, 437, 466, 489] [29, 34, 40, 47, 86, 121, 160, 167, 173, 178, 221, 243, 262, 268, 288, 308, 344, 356, 392, 412, 432, 438, 467, 490] [30, 35, 41, 48, 87, 122, 161, 168, 174, 179, 222, 244, 263, 269, 289, 309, 345, 357, 393, 413, 433, 439, 468, 491] [31, 36, 42, 49, 88, 123, 162, 169, 175, 180, 223, 245, 264, 270, 290, 310, 346, 358, 394, 414, 434, 440, 469, 492] [32, 37, 43, 50, 89, 124, 163, 170, 176, 181, 224, 246, 265, 271, 291, 311, 347, 359, 395, 415, 435, 441, 470, 493] [33, 38, 44, 51, 90, 125, 164, 171, 177, 182, 225, 247, 266, 272, 292, 312, 348, 360, 396, 416, 436, 442, 471, 494] [34, 39, 45, 52, 91, 126, 165, 172, 178, 183, 226, 248, 267, 273, 293, 313, 349, 361, 397, 417, 437, 443, 472, 495] [35, 40, 46, 53, 92, 127, 166, 173, 179, 184, 227, 249, 268, 274, 294, 314, 350, 362, 398, 418, 438, 444, 473, 496] [36, 41, 47, 54, 93, 128, 167, 174, 180, 185, 228, 250, 269, 275, 295, 315, 351, 363, 399, 419, 439, 445, 474, 497] [37, 42, 48, 55, 94, 129, 168, 175, 181, 186, 229, 251, 270, 276, 296, 316, 352, 364, 400, 420, 440, 446, 475, 498] [38, 43, 49, 56, 95, 130, 169, 176, 182, 187, 230, 252, 271, 277, 297, 317, 353, 365, 401, 421, 441, 447, 476, 499] [39, 44, 50, 57, 96, 131, 170, 177, 183, 188, 231, 253, 272, 278, 298, 318, 354, 366, 402, 422, 442, 448, 477, 500] [40, 45, 51, 58, 97, 132, 171, 178, 184, 189, 232, 254, 273, 279, 299, 319, 355, 367, 403, 423, 443, 449, 478, 501] [41, 46, 52, 59, 98, 133, 172, 179, 185, 190, 233, 255, 274, 280, 300, 320, 356, 368, 404, 424, 444, 450, 479, 502] [42, 47, 53, 60, 99, 134, 173, 180, 186, 191, 234, 256, 275, 281, 301, 321, 357, 369, 405, 425, 445, 451, 480, 503] [0, 43, 48, 54, 61, 100, 135, 174, 181, 187, 192, 235, 276, 282, 302, 322, 358, 370, 406, 426, 446, 452, 481, 504] [1, 44, 49, 55, 62, 101, 136, 175, 182, 188, 193, 236, 277, 283, 303, 323, 359, 371, 407, 427, 447, 453, 482, 505] [2, 45, 50, 56, 63, 102, 137, 176, 183, 189, 194, 237, 278, 284, 304, 324, 360, 372, 408, 428, 448, 454, 483, 506] [3, 46, 51, 57, 64, 103, 138, 177, 184, 190, 195, 238, 279, 285, 305, 325, 361, 373, 409, 429, 449, 455, 484, 507] [4, 47, 52, 58, 65, 104, 139, 178, 185, 191, 196, 239, 280, 286, 306, 326, 362, 374, 410, 430, 450, 456, 485, 508] [5, 48, 53, 59, 66, 105, 140, 179, 186, 192, 197, 240, 281, 287, 307, 327, 363, 375, 411, 431, 451, 457, 486, 509] [6, 49, 54, 60, 67, 106, 141, 180, 187, 193, 198, 241, 282, 288, 308, 328, 364, 376, 412, 432, 452, 458, 487, 510] [7, 50, 55, 61, 68, 107, 142, 181, 188, 194, 199, 242, 283, 289, 309, 329, 365, 377, 413, 433, 453, 459, 488, 511] [8, 51, 56, 62, 69, 108, 143, 182, 189, 195, 200, 243, 284, 290, 310, 330, 366, 378, 414, 434, 454, 460, 489, 512] [9, 52, 57, 63, 70, 109, 144, 183, 190, 196, 201, 244, 285, 291, 311, 331, 367, 379, 415, 435, 455, 461, 490, 513] [10, 53, 58, 64, 71, 110, 145, 184, 191, 197, 202, 245, 257, 286, 292, 312, 332, 368, 380, 416, 436, 456, 462, 491] [11, 54, 59, 65, 72, 111, 146, 185, 192, 198, 203, 246, 258, 287, 293, 313, 333, 369, 381, 417, 437, 457, 463, 492] [12, 55, 60, 66, 73, 112, 147, 186, 193, 199, 204, 247, 259, 288, 294, 314, 334, 370, 382, 418, 438, 458, 464, 493] [13, 56, 61, 67, 74, 113, 148, 187, 194, 200, 205, 248, 260, 289, 295, 315, 335, 371, 383, 419, 439, 459, 465, 494] [14, 57, 62, 68, 75, 114, 149, 188, 195, 201, 206, 249, 261, 290, 296, 316, 336, 372, 384, 420, 440, 460, 466, 495] [15, 58, 63, 69, 76, 115, 150, 189, 196, 202, 207, 250, 262, 291, 297, 317, 337, 373, 385, 421, 441, 461, 467, 496] [16, 59, 64, 70, 77, 116, 151, 190, 197, 203, 208, 251, 263, 292, 298, 318, 338, 374, 386, 422, 442, 462, 468, 497] [17, 60, 65, 71, 78, 117, 152, 191, 198, 204, 209, 252, 264, 293, 299, 319, 339, 375, 387, 423, 443, 463, 469, 498] [18, 61, 66, 72, 79, 118, 153, 192, 199, 205, 210, 253, 265, 294, 300, 320, 340, 376, 388, 424, 444, 464, 470, 499] [19, 62, 67, 73, 80, 119, 154, 193, 200, 206, 211, 254, 266, 295, 301, 321, 341, 377, 389, 425, 445, 465, 471, 500] [20, 63, 68, 74, 81, 120, 155, 194, 201, 207, 212, 255, 267, 296, 302, 322, 342, 378, 390, 426, 446, 466, 472, 501] [21, 64, 69, 75, 82, 121, 156, 195, 202, 208, 213, 256, 268, 297, 303, 323, 343, 379, 391, 427, 447, 467, 473, 502] [0, 22, 65, 70, 76, 83, 122, 157, 196, 203, 209, 214, 269, 298, 304, 324, 344, 380, 392, 428, 448, 468, 474, 503] [1, 23, 66, 71, 77, 84, 123, 158, 197, 204, 210, 215, 270, 299, 305, 325, 345, 381, 393, 429, 449, 469, 475, 504] [2, 24, 67, 72, 78, 85, 124, 159, 198, 205, 211, 216, 271, 300, 306, 326, 346, 382, 394, 430, 450, 470, 476, 505] [3, 25, 68, 73, 79, 86, 125, 160, 199, 206, 212, 217, 272, 301, 307, 327, 347, 383, 395, 431, 451, 471, 477, 506] [4, 26, 69, 74, 80, 87, 126, 161, 200, 207, 213, 218, 273, 302, 308, 328, 348, 384, 396, 432, 452, 472, 478, 507] [5, 27, 70, 75, 81, 88, 127, 162, 201, 208, 214, 219, 274, 303, 309, 329, 349, 385, 397, 433, 453, 473, 479, 508] [6, 28, 71, 76, 82, 89, 128, 163, 202, 209, 215, 220, 275, 304, 310, 330, 350, 386, 398, 434, 454, 474, 480, 509] [7, 29, 72, 77, 83, 90, 129, 164, 203, 210, 216, 221, 276, 305, 311, 331, 351, 387, 399, 435, 455, 475, 481, 510] [8, 30, 73, 78, 84, 91, 130, 165, 204, 211, 217, 222, 277, 306, 312, 332, 352, 388, 400, 436, 456, 476, 482, 511] [9, 31, 74, 79, 85, 92, 131, 166, 205, 212, 218, 223, 278, 307, 313, 333, 353, 389, 401, 437, 457, 477, 483, 512] [10, 32, 75, 80, 86, 93, 132, 167, 206, 213, 219, 224, 279, 308, 314, 334, 354, 390, 402, 438, 458, 478, 484, 513] [11, 33, 76, 81, 87, 94, 133, 168, 207, 214, 220, 225, 257, 280, 309, 315, 335, 355, 391, 403, 439, 459, 479, 485] [12, 34, 77, 82, 88, 95, 134, 169, 208, 215, 221, 226, 258, 281, 310, 316, 336, 356, 392, 404, 440, 460, 480, 486] [13, 35, 78, 83, 89, 96, 135, 170, 209, 216, 222, 227, 259, 282, 311, 317, 337, 357, 393, 405, 441, 461, 481, 487] [14, 36, 79, 84, 90, 97, 136, 171, 210, 217, 223, 228, 260, 283, 312, 318, 338, 358, 394, 406, 442, 462, 482, 488] [15, 37, 80, 85, 91, 98, 137, 172, 211, 218, 224, 229, 261, 284, 313, 319, 339, 359, 395, 407, 443, 463, 483, 489] [16, 38, 81, 86, 92, 99, 138, 173, 212, 219, 225, 230, 262, 285, 314, 320, 340, 360, 396, 408, 444, 464, 484, 490] [17, 39, 82, 87, 93, 100, 139, 174, 213, 220, 226, 231, 263, 286, 315, 321, 341, 361, 397, 409, 445, 465, 485, 491] [18, 40, 83, 88, 94, 101, 140, 175, 214, 221, 227, 232, 264, 287, 316, 322, 342, 362, 398, 410, 446, 466, 486, 492] [19, 41, 84, 89, 95, 102, 141, 176, 215, 222, 228, 233, 265, 288, 317, 323, 343, 363, 399, 411, 447, 467, 487, 493] [20, 42, 85, 90, 96, 103, 142, 177, 216, 223, 229, 234, 266, 289, 318, 324, 344, 364, 400, 412, 448, 468, 488, 494] [21, 43, 86, 91, 97, 104, 143, 178, 217, 224, 230, 235, 267, 290, 319, 325, 345, 365, 401, 413, 449, 469, 489, 495] [22, 44, 87, 92, 98, 105, 144, 179, 218, 225, 231, 236, 268, 291, 320, 326, 346, 366, 402, 414, 450, 470, 490, 496] [23, 45, 88, 93, 99, 106, 145, 180, 219, 226, 232, 237, 269, 292, 321, 327, 347, 367, 403, 415, 451, 471, 491, 497] [24, 46, 89, 94, 100, 107, 146, 181, 220, 227, 233, 238, 270, 293, 322, 328, 348, 368, 404, 416, 452, 472, 492, 498] [25, 47, 90, 95, 101, 108, 147, 182, 221, 228, 234, 239, 271, 294, 323, 329, 349, 369, 405, 417, 453, 473, 493, 499] [26, 48, 91, 96, 102, 109, 148, 183, 222, 229, 235, 240, 272, 295, 324, 330, 350, 370, 406, 418, 454, 474, 494, 500] [27, 49, 92, 97, 103, 110, 149, 184, 223, 230, 236, 241, 273, 296, 325, 331, 351, 371, 407, 419, 455, 475, 495, 501] [28, 50, 93, 98, 104, 111, 150, 185, 224, 231, 237, 242, 274, 297, 326, 332, 352, 372, 408, 420, 456, 476, 496, 502] [29, 51, 94, 99, 105, 112, 151, 186, 225, 232, 238, 243, 275, 298, 327, 333, 353, 373, 409, 421, 457, 477, 497, 503] [30, 52, 95, 100, 106, 113, 152, 187, 226, 233, 239, 244, 276, 299, 328, 334, 354, 374, 410, 422, 458, 478, 498, 504] [31, 53, 96, 101, 107, 114, 153, 188, 227, 234, 240, 245, 277, 300, 329, 335, 355, 375, 411, 423, 459, 479, 499, 505] [32, 54, 97, 102, 108, 115, 154, 189, 228, 235, 241, 246, 278, 301, 330, 336, 356, 376, 412, 424, 460, 480, 500, 506] [33, 55, 98, 103, 109, 116, 155, 190, 229, 236, 242, 247, 279, 302, 331, 337, 357, 377, 413, 425, 461, 481, 501, 507] [34, 56, 99, 104, 110, 117, 156, 191, 230, 237, 243, 248, 280, 303, 332, 338, 358, 378, 414, 426, 462, 482, 502, 508] [35, 57, 100, 105, 111, 118, 157, 192, 231, 238, 244, 249, 281, 304, 333, 339, 359, 379, 415, 427, 463, 483, 503, 509] [36, 58, 101, 106, 112, 119, 158, 193, 232, 239, 245, 250, 282, 305, 334, 340, 360, 380, 416, 428, 464, 484, 504, 510] [37, 59, 102, 107, 113, 120, 159, 194, 233, 240, 246, 251, 283, 306, 335, 341, 361, 381, 417, 429, 465, 485, 505, 511] [38, 60, 103, 108, 114, 121, 160, 195, 234, 241, 247, 252, 284, 307, 336, 342, 362, 382, 418, 430, 466, 486, 506, 512] [39, 61, 104, 109, 115, 122, 161, 196, 235, 242, 248, 253, 285, 308, 337, 343, 363, 383, 419, 431, 467, 487, 507, 513] [40, 62, 105, 110, 116, 123, 162, 197, 236, 243, 249, 254, 257, 286, 309, 338, 344, 364, 384, 420, 432, 468, 488, 508] [41, 63, 106, 111, 117, 124, 163, 198, 237, 244, 250, 255, 258, 287, 310, 339, 345, 365, 385, 421, 433, 469, 489, 509] [42, 64, 107, 112, 118, 125, 164, 199, 238, 245, 251, 256, 259, 288, 311, 340, 346, 366, 386, 422, 434, 470, 490, 510] [0, 43, 65, 108, 113, 119, 126, 165, 200, 239, 246, 252, 260, 289, 312, 341, 347, 367, 387, 423, 435, 471, 491, 511] [1, 44, 66, 109, 114, 120, 127, 166, 201, 240, 247, 253, 261, 290, 313, 342, 348, 368, 388, 424, 436, 472, 492, 512] [2, 45, 67, 110, 115, 121, 128, 167, 202, 241, 248, 254, 262, 291, 314, 343, 349, 369, 389, 425, 437, 473, 493, 513] [3, 46, 68, 111, 116, 122, 129, 168, 203, 242, 249, 255, 257, 263, 292, 315, 344, 350, 370, 390, 426, 438, 474, 494] [4, 47, 69, 112, 117, 123, 130, 169, 204, 243, 250, 256, 258, 264, 293, 316, 345, 351, 371, 391, 427, 439, 475, 495] [0, 5, 48, 70, 113, 118, 124, 131, 170, 205, 244, 251, 259, 265, 294, 317, 346, 352, 372, 392, 428, 440, 476, 496] [1, 6, 49, 71, 114, 119, 125, 132, 171, 206, 245, 252, 260, 266, 295, 318, 347, 353, 373, 393, 429, 441, 477, 497] [2, 7, 50, 72, 115, 120, 126, 133, 172, 207, 246, 253, 261, 267, 296, 319, 348, 354, 374, 394, 430, 442, 478, 498] [3, 8, 51, 73, 116, 121, 127, 134, 173, 208, 247, 254, 262, 268, 297, 320, 349, 355, 375, 395, 431, 443, 479, 499] [4, 9, 52, 74, 117, 122, 128, 135, 174, 209, 248, 255, 263, 269, 298, 321, 350, 356, 376, 396, 432, 444, 480, 500] [5, 10, 53, 75, 118, 123, 129, 136, 175, 210, 249, 256, 264, 270, 299, 322, 351, 357, 377, 397, 433, 445, 481, 501] [0, 6, 11, 54, 76, 119, 124, 130, 137, 176, 211, 250, 265, 271, 300, 323, 352, 358, 378, 398, 434, 446, 482, 502] [1, 7, 12, 55, 77, 120, 125, 131, 138, 177, 212, 251, 266, 272, 301, 324, 353, 359, 379, 399, 435, 447, 483, 503] [2, 8, 13, 56, 78, 121, 126, 132, 139, 178, 213, 252, 267, 273, 302, 325, 354, 360, 380, 400, 436, 448, 484, 504] [3, 9, 14, 57, 79, 122, 127, 133, 140, 179, 214, 253, 268, 274, 303, 326, 355, 361, 381, 401, 437, 449, 485, 505] [4, 10, 15, 58, 80, 123, 128, 134, 141, 180, 215, 254, 269, 275, 304, 327, 356, 362, 382, 402, 438, 450, 486, 506] [5, 11, 16, 59, 81, 124, 129, 135, 142, 181, 216, 255, 270, 276, 305, 328, 357, 363, 383, 403, 439, 451, 487, 507] [6, 12, 17, 60, 82, 125, 130, 136, 143, 182, 217, 256, 271, 277, 306, 329, 358, 364, 384, 404, 440, 452, 488, 508] [0, 7, 13, 18, 61, 83, 126, 131, 137, 144, 183, 218, 272, 278, 307, 330, 359, 365, 385, 405, 441, 453, 489, 509] [1, 8, 14, 19, 62, 84, 127, 132, 138, 145, 184, 219, 273, 279, 308, 331, 360, 366, 386, 406, 442, 454, 490, 510] [2, 9, 15, 20, 63, 85, 128, 133, 139, 146, 185, 220, 274, 280, 309, 332, 361, 367, 387, 407, 443, 455, 491, 511] [3, 10, 16, 21, 64, 86, 129, 134, 140, 147, 186, 221, 275, 281, 310, 333, 362, 368, 388, 408, 444, 456, 492, 512] [4, 11, 17, 22, 65, 87, 130, 135, 141, 148, 187, 222, 276, 282, 311, 334, 363, 369, 389, 409, 445, 457, 493, 513] [5, 12, 18, 23, 66, 88, 131, 136, 142, 149, 188, 223, 257, 277, 283, 312, 335, 364, 370, 390, 410, 446, 458, 494] [6, 13, 19, 24, 67, 89, 132, 137, 143, 150, 189, 224, 258, 278, 284, 313, 336, 365, 371, 391, 411, 447, 459, 495] [7, 14, 20, 25, 68, 90, 133, 138, 144, 151, 190, 225, 259, 279, 285, 314, 337, 366, 372, 392, 412, 448, 460, 496] [8, 15, 21, 26, 69, 91, 134, 139, 145, 152, 191, 226, 260, 280, 286, 315, 338, 367, 373, 393, 413, 449, 461, 497] [9, 16, 22, 27, 70, 92, 135, 140, 146, 153, 192, 227, 261, 281, 287, 316, 339, 368, 374, 394, 414, 450, 462, 498] [10, 17, 23, 28, 71, 93, 136, 141, 147, 154, 193, 228, 262, 282, 288, 317, 340, 369, 375, 395, 415, 451, 463, 499] [11, 18, 24, 29, 72, 94, 137, 142, 148, 155, 194, 229, 263, 283, 289, 318, 341, 370, 376, 396, 416, 452, 464, 500] [12, 19, 25, 30, 73, 95, 138, 143, 149, 156, 195, 230, 264, 284, 290, 319, 342, 371, 377, 397, 417, 453, 465, 501] [13, 20, 26, 31, 74, 96, 139, 144, 150, 157, 196, 231, 265, 285, 291, 320, 343, 372, 378, 398, 418, 454, 466, 502] [14, 21, 27, 32, 75, 97, 140, 145, 151, 158, 197, 232, 266, 286, 292, 321, 344, 373, 379, 399, 419, 455, 467, 503] [15, 22, 28, 33, 76, 98, 141, 146, 152, 159, 198, 233, 267, 287, 293, 322, 345, 374, 380, 400, 420, 456, 468, 504] [16, 23, 29, 34, 77, 99, 142, 147, 153, 160, 199, 234, 268, 288, 294, 323, 346, 375, 381, 401, 421, 457, 469, 505] [17, 24, 30, 35, 78, 100, 143, 148, 154, 161, 200, 235, 269, 289, 295, 324, 347, 376, 382, 402, 422, 458, 470, 506] [18, 25, 31, 36, 79, 101, 144, 149, 155, 162, 201, 236, 270, 290, 296, 325, 348, 377, 383, 403, 423, 459, 471, 507] [19, 26, 32, 37, 80, 102, 145, 150, 156, 163, 202, 237, 271, 291, 297, 326, 349, 378, 384, 404, 424, 460, 472, 508] [20, 27, 33, 38, 81, 103, 146, 151, 157, 164, 203, 238, 272, 292, 298, 327, 350, 379, 385, 405, 425, 461, 473, 509] [21, 28, 34, 39, 82, 104, 147, 152, 158, 165, 204, 239, 273, 293, 299, 328, 351, 380, 386, 406, 426, 462, 474, 510] [22, 29, 35, 40, 83, 105, 148, 153, 159, 166, 205, 240, 274, 294, 300, 329, 352, 381, 387, 407, 427, 463, 475, 511] [23, 30, 36, 41, 84, 106, 149, 154, 160, 167, 206, 241, 275, 295, 301, 330, 353, 382, 388, 408, 428, 464, 476, 512] [24, 31, 37, 42, 85, 107, 150, 155, 161, 168, 207, 242, 276, 296, 302, 331, 354, 383, 389, 409, 429, 465, 477, 513] [25, 32, 38, 43, 86, 108, 151, 156, 162, 169, 208, 243, 257, 277, 297, 303, 332, 355, 384, 390, 410, 430, 466, 478] [26, 33, 39, 44, 87, 109, 152, 157, 163, 170, 209, 244, 258, 278, 298, 304, 333, 356, 385, 391, 411, 431, 467, 479] [27, 34, 40, 45, 88, 110, 153, 158, 164, 171, 210, 245, 259, 279, 299, 305, 334, 357, 386, 392, 412, 432, 468, 480] [28, 35, 41, 46, 89, 111, 154, 159, 165, 172, 211, 246, 260, 280, 300, 306, 335, 358, 387, 393, 413, 433, 469, 481] [29, 36, 42, 47, 90, 112, 155, 160, 166, 173, 212, 247, 261, 281, 301, 307, 336, 359, 388, 394, 414, 434, 470, 482] [30, 37, 43, 48, 91, 113, 156, 161, 167, 174, 213, 248, 262, 282, 302, 308, 337, 360, 389, 395, 415, 435, 471, 483] [31, 38, 44, 49, 92, 114, 157, 162, 168, 175, 214, 249, 263, 283, 303, 309, 338, 361, 390, 396, 416, 436, 472, 484] [32, 39, 45, 50, 93, 115, 158, 163, 169, 176, 215, 250, 264, 284, 304, 310, 339, 362, 391, 397, 417, 437, 473, 485] [33, 40, 46, 51, 94, 116, 159, 164, 170, 177, 216, 251, 265, 285, 305, 311, 340, 363, 392, 398, 418, 438, 474, 486] [34, 41, 47, 52, 95, 117, 160, 165, 171, 178, 217, 252, 266, 286, 306, 312, 341, 364, 393, 399, 419, 439, 475, 487] [35, 42, 48, 53, 96, 118, 161, 166, 172, 179, 218, 253, 267, 287, 307, 313, 342, 365, 394, 400, 420, 440, 476, 488] [36, 43, 49, 54, 97, 119, 162, 167, 173, 180, 219, 254, 268, 288, 308, 314, 343, 366, 395, 401, 421, 441, 477, 489] [37, 44, 50, 55, 98, 120, 163, 168, 174, 181, 220, 255, 269, 289, 309, 315, 344, 367, 396, 402, 422, 442, 478, 490] [38, 45, 51, 56, 99, 121, 164, 169, 175, 182, 221, 256, 270, 290, 310, 316, 345, 368, 397, 403, 423, 443, 479, 491] [0, 39, 46, 52, 57, 100, 122, 165, 170, 176, 183, 222, 271, 291, 311, 317, 346, 369, 398, 404, 424, 444, 480, 492] [1, 40, 47, 53, 58, 101, 123, 166, 171, 177, 184, 223, 272, 292, 312, 318, 347, 370, 399, 405, 425, 445, 481, 493] [2, 41, 48, 54, 59, 102, 124, 167, 172, 178, 185, 224, 273, 293, 313, 319, 348, 371, 400, 406, 426, 446, 482, 494] [3, 42, 49, 55, 60, 103, 125, 168, 173, 179, 186, 225, 274, 294, 314, 320, 349, 372, 401, 407, 427, 447, 483, 495] [4, 43, 50, 56, 61, 104, 126, 169, 174, 180, 187, 226, 275, 295, 315, 321, 350, 373, 402, 408, 428, 448, 484, 496] [5, 44, 51, 57, 62, 105, 127, 170, 175, 181, 188, 227, 276, 296, 316, 322, 351, 374, 403, 409, 429, 449, 485, 497] [6, 45, 52, 58, 63, 106, 128, 171, 176, 182, 189, 228, 277, 297, 317, 323, 352, 375, 404, 410, 430, 450, 486, 498] [7, 46, 53, 59, 64, 107, 129, 172, 177, 183, 190, 229, 278, 298, 318, 324, 353, 376, 405, 411, 431, 451, 487, 499] [8, 47, 54, 60, 65, 108, 130, 173, 178, 184, 191, 230, 279, 299, 319, 325, 354, 377, 406, 412, 432, 452, 488, 500] [9, 48, 55, 61, 66, 109, 131, 174, 179, 185, 192, 231, 280, 300, 320, 326, 355, 378, 407, 413, 433, 453, 489, 501] [10, 49, 56, 62, 67, 110, 132, 175, 180, 186, 193, 232, 281, 301, 321, 327, 356, 379, 408, 414, 434, 454, 490, 502] [11, 50, 57, 63, 68, 111, 133, 176, 181, 187, 194, 233, 282, 302, 322, 328, 357, 380, 409, 415, 435, 455, 491, 503] [12, 51, 58, 64, 69, 112, 134, 177, 182, 188, 195, 234, 283, 303, 323, 329, 358, 381, 410, 416, 436, 456, 492, 504] [13, 52, 59, 65, 70, 113, 135, 178, 183, 189, 196, 235, 284, 304, 324, 330, 359, 382, 411, 417, 437, 457, 493, 505] [14, 53, 60, 66, 71, 114, 136, 179, 184, 190, 197, 236, 285, 305, 325, 331, 360, 383, 412, 418, 438, 458, 494, 506] [15, 54, 61, 67, 72, 115, 137, 180, 185, 191, 198, 237, 286, 306, 326, 332, 361, 384, 413, 419, 439, 459, 495, 507] [16, 55, 62, 68, 73, 116, 138, 181, 186, 192, 199, 238, 287, 307, 327, 333, 362, 385, 414, 420, 440, 460, 496, 508] [17, 56, 63, 69, 74, 117, 139, 182, 187, 193, 200, 239, 288, 308, 328, 334, 363, 386, 415, 421, 441, 461, 497, 509] [18, 57, 64, 70, 75, 118, 140, 183, 188, 194, 201, 240, 289, 309, 329, 335, 364, 387, 416, 422, 442, 462, 498, 510] [19, 58, 65, 71, 76, 119, 141, 184, 189, 195, 202, 241, 290, 310, 330, 336, 365, 388, 417, 423, 443, 463, 499, 511] [20, 59, 66, 72, 77, 120, 142, 185, 190, 196, 203, 242, 291, 311, 331, 337, 366, 389, 418, 424, 444, 464, 500, 512] [21, 60, 67, 73, 78, 121, 143, 186, 191, 197, 204, 243, 292, 312, 332, 338, 367, 390, 419, 425, 445, 465, 501, 513] [22, 61, 68, 74, 79, 122, 144, 187, 192, 198, 205, 244, 257, 293, 313, 333, 339, 368, 391, 420, 426, 446, 466, 502] [23, 62, 69, 75, 80, 123, 145, 188, 193, 199, 206, 245, 258, 294, 314, 334, 340, 369, 392, 421, 427, 447, 467, 503] [24, 63, 70, 76, 81, 124, 146, 189, 194, 200, 207, 246, 259, 295, 315, 335, 341, 370, 393, 422, 428, 448, 468, 504] [25, 64, 71, 77, 82, 125, 147, 190, 195, 201, 208, 247, 260, 296, 316, 336, 342, 371, 394, 423, 429, 449, 469, 505] [26, 65, 72, 78, 83, 126, 148, 191, 196, 202, 209, 248, 261, 297, 317, 337, 343, 372, 395, 424, 430, 450, 470, 506] [27, 66, 73, 79, 84, 127, 149, 192, 197, 203, 210, 249, 262, 298, 318, 338, 344, 373, 396, 425, 431, 451, 471, 507] [28, 67, 74, 80, 85, 128, 150, 193, 198, 204, 211, 250, 263, 299, 319, 339, 345, 374, 397, 426, 432, 452, 472, 508] [29, 68, 75, 81, 86, 129, 151, 194, 199, 205, 212, 251, 264, 300, 320, 340, 346, 375, 398, 427, 433, 453, 473, 509] [30, 69, 76, 82, 87, 130, 152, 195, 200, 206, 213, 252, 265, 301, 321, 341, 347, 376, 399, 428, 434, 454, 474, 510] [31, 70, 77, 83, 88, 131, 153, 196, 201, 207, 214, 253, 266, 302, 322, 342, 348, 377, 400, 429, 435, 455, 475, 511] [32, 71, 78, 84, 89, 132, 154, 197, 202, 208, 215, 254, 267, 303, 323, 343, 349, 378, 401, 430, 436, 456, 476, 512] [33, 72, 79, 85, 90, 133, 155, 198, 203, 209, 216, 255, 268, 304, 324, 344, 350, 379, 402, 431, 437, 457, 477, 513] [34, 73, 80, 86, 91, 134, 156, 199, 204, 210, 217, 256, 257, 269, 305, 325, 345, 351, 380, 403, 432, 438, 458, 478] [0, 35, 74, 81, 87, 92, 135, 157, 200, 205, 211, 218, 258, 270, 306, 326, 346, 352, 381, 404, 433, 439, 459, 479] [1, 36, 75, 82, 88, 93, 136, 158, 201, 206, 212, 219, 259, 271, 307, 327, 347, 353, 382, 405, 434, 440, 460, 480] [2, 37, 76, 83, 89, 94, 137, 159, 202, 207, 213, 220, 260, 272, 308, 328, 348, 354, 383, 406, 435, 441, 461, 481] [3, 38, 77, 84, 90, 95, 138, 160, 203, 208, 214, 221, 261, 273, 309, 329, 349, 355, 384, 407, 436, 442, 462, 482] [4, 39, 78, 85, 91, 96, 139, 161, 204, 209, 215, 222, 262, 274, 310, 330, 350, 356, 385, 408, 437, 443, 463, 483] [5, 40, 79, 86, 92, 97, 140, 162, 205, 210, 216, 223, 263, 275, 311, 331, 351, 357, 386, 409, 438, 444, 464, 484] [6, 41, 80, 87, 93, 98, 141, 163, 206, 211, 217, 224, 264, 276, 312, 332, 352, 358, 387, 410, 439, 445, 465, 485] [7, 42, 81, 88, 94, 99, 142, 164, 207, 212, 218, 225, 265, 277, 313, 333, 353, 359, 388, 411, 440, 446, 466, 486]
H_Z (257 checks, sparse supports)
[27, 47, 67, 73, 102, 125, 154, 160, 180, 200, 236, 248, 288, 295, 301, 306, 349, 371, 414, 419, 425, 432, 471, 506] [28, 48, 68, 74, 103, 126, 155, 161, 181, 201, 237, 249, 289, 296, 302, 307, 350, 372, 415, 420, 426, 433, 472, 507] [29, 49, 69, 75, 104, 127, 156, 162, 182, 202, 238, 250, 290, 297, 303, 308, 351, 373, 416, 421, 427, 434, 473, 508] [30, 50, 70, 76, 105, 128, 157, 163, 183, 203, 239, 251, 291, 298, 304, 309, 352, 374, 417, 422, 428, 435, 474, 509] [31, 51, 71, 77, 106, 129, 158, 164, 184, 204, 240, 252, 292, 299, 305, 310, 353, 375, 418, 423, 429, 436, 475, 510] [32, 52, 72, 78, 107, 130, 159, 165, 185, 205, 241, 253, 293, 300, 306, 311, 354, 376, 419, 424, 430, 437, 476, 511] [33, 53, 73, 79, 108, 131, 160, 166, 186, 206, 242, 254, 294, 301, 307, 312, 355, 377, 420, 425, 431, 438, 477, 512] [34, 54, 74, 80, 109, 132, 161, 167, 187, 207, 243, 255, 295, 302, 308, 313, 356, 378, 421, 426, 432, 439, 478, 513] [35, 55, 75, 81, 110, 133, 162, 168, 188, 208, 244, 256, 257, 296, 303, 309, 314, 357, 379, 422, 427, 433, 440, 479] [0, 36, 56, 76, 82, 111, 134, 163, 169, 189, 209, 245, 258, 297, 304, 310, 315, 358, 380, 423, 428, 434, 441, 480] [1, 37, 57, 77, 83, 112, 135, 164, 170, 190, 210, 246, 259, 298, 305, 311, 316, 359, 381, 424, 429, 435, 442, 481] [2, 38, 58, 78, 84, 113, 136, 165, 171, 191, 211, 247, 260, 299, 306, 312, 317, 360, 382, 425, 430, 436, 443, 482] [3, 39, 59, 79, 85, 114, 137, 166, 172, 192, 212, 248, 261, 300, 307, 313, 318, 361, 383, 426, 431, 437, 444, 483] [4, 40, 60, 80, 86, 115, 138, 167, 173, 193, 213, 249, 262, 301, 308, 314, 319, 362, 384, 427, 432, 438, 445, 484] [5, 41, 61, 81, 87, 116, 139, 168, 174, 194, 214, 250, 263, 302, 309, 315, 320, 363, 385, 428, 433, 439, 446, 485] [6, 42, 62, 82, 88, 117, 140, 169, 175, 195, 215, 251, 264, 303, 310, 316, 321, 364, 386, 429, 434, 440, 447, 486] [7, 43, 63, 83, 89, 118, 141, 170, 176, 196, 216, 252, 265, 304, 311, 317, 322, 365, 387, 430, 435, 441, 448, 487] [8, 44, 64, 84, 90, 119, 142, 171, 177, 197, 217, 253, 266, 305, 312, 318, 323, 366, 388, 431, 436, 442, 449, 488] [9, 45, 65, 85, 91, 120, 143, 172, 178, 198, 218, 254, 267, 306, 313, 319, 324, 367, 389, 432, 437, 443, 450, 489] [10, 46, 66, 86, 92, 121, 144, 173, 179, 199, 219, 255, 268, 307, 314, 320, 325, 368, 390, 433, 438, 444, 451, 490] [11, 47, 67, 87, 93, 122, 145, 174, 180, 200, 220, 256, 269, 308, 315, 321, 326, 369, 391, 434, 439, 445, 452, 491] [0, 12, 48, 68, 88, 94, 123, 146, 175, 181, 201, 221, 270, 309, 316, 322, 327, 370, 392, 435, 440, 446, 453, 492] [1, 13, 49, 69, 89, 95, 124, 147, 176, 182, 202, 222, 271, 310, 317, 323, 328, 371, 393, 436, 441, 447, 454, 493] [2, 14, 50, 70, 90, 96, 125, 148, 177, 183, 203, 223, 272, 311, 318, 324, 329, 372, 394, 437, 442, 448, 455, 494] [3, 15, 51, 71, 91, 97, 126, 149, 178, 184, 204, 224, 273, 312, 319, 325, 330, 373, 395, 438, 443, 449, 456, 495] [4, 16, 52, 72, 92, 98, 127, 150, 179, 185, 205, 225, 274, 313, 320, 326, 331, 374, 396, 439, 444, 450, 457, 496] [5, 17, 53, 73, 93, 99, 128, 151, 180, 186, 206, 226, 275, 314, 321, 327, 332, 375, 397, 440, 445, 451, 458, 497] [6, 18, 54, 74, 94, 100, 129, 152, 181, 187, 207, 227, 276, 315, 322, 328, 333, 376, 398, 441, 446, 452, 459, 498] [7, 19, 55, 75, 95, 101, 130, 153, 182, 188, 208, 228, 277, 316, 323, 329, 334, 377, 399, 442, 447, 453, 460, 499] [8, 20, 56, 76, 96, 102, 131, 154, 183, 189, 209, 229, 278, 317, 324, 330, 335, 378, 400, 443, 448, 454, 461, 500] [9, 21, 57, 77, 97, 103, 132, 155, 184, 190, 210, 230, 279, 318, 325, 331, 336, 379, 401, 444, 449, 455, 462, 501] [10, 22, 58, 78, 98, 104, 133, 156, 185, 191, 211, 231, 280, 319, 326, 332, 337, 380, 402, 445, 450, 456, 463, 502] [11, 23, 59, 79, 99, 105, 134, 157, 186, 192, 212, 232, 281, 320, 327, 333, 338, 381, 403, 446, 451, 457, 464, 503] [12, 24, 60, 80, 100, 106, 135, 158, 187, 193, 213, 233, 282, 321, 328, 334, 339, 382, 404, 447, 452, 458, 465, 504] [13, 25, 61, 81, 101, 107, 136, 159, 188, 194, 214, 234, 283, 322, 329, 335, 340, 383, 405, 448, 453, 459, 466, 505] [14, 26, 62, 82, 102, 108, 137, 160, 189, 195, 215, 235, 284, 323, 330, 336, 341, 384, 406, 449, 454, 460, 467, 506] [15, 27, 63, 83, 103, 109, 138, 161, 190, 196, 216, 236, 285, 324, 331, 337, 342, 385, 407, 450, 455, 461, 468, 507] [16, 28, 64, 84, 104, 110, 139, 162, 191, 197, 217, 237, 286, 325, 332, 338, 343, 386, 408, 451, 456, 462, 469, 508] [17, 29, 65, 85, 105, 111, 140, 163, 192, 198, 218, 238, 287, 326, 333, 339, 344, 387, 409, 452, 457, 463, 470, 509] [18, 30, 66, 86, 106, 112, 141, 164, 193, 199, 219, 239, 288, 327, 334, 340, 345, 388, 410, 453, 458, 464, 471, 510] [19, 31, 67, 87, 107, 113, 142, 165, 194, 200, 220, 240, 289, 328, 335, 341, 346, 389, 411, 454, 459, 465, 472, 511] [20, 32, 68, 88, 108, 114, 143, 166, 195, 201, 221, 241, 290, 329, 336, 342, 347, 390, 412, 455, 460, 466, 473, 512] [21, 33, 69, 89, 109, 115, 144, 167, 196, 202, 222, 242, 291, 330, 337, 343, 348, 391, 413, 456, 461, 467, 474, 513] [22, 34, 70, 90, 110, 116, 145, 168, 197, 203, 223, 243, 257, 292, 331, 338, 344, 349, 392, 414, 457, 462, 468, 475] [23, 35, 71, 91, 111, 117, 146, 169, 198, 204, 224, 244, 258, 293, 332, 339, 345, 350, 393, 415, 458, 463, 469, 476] [24, 36, 72, 92, 112, 118, 147, 170, 199, 205, 225, 245, 259, 294, 333, 340, 346, 351, 394, 416, 459, 464, 470, 477] [25, 37, 73, 93, 113, 119, 148, 171, 200, 206, 226, 246, 260, 295, 334, 341, 347, 352, 395, 417, 460, 465, 471, 478] [26, 38, 74, 94, 114, 120, 149, 172, 201, 207, 227, 247, 261, 296, 335, 342, 348, 353, 396, 418, 461, 466, 472, 479] [27, 39, 75, 95, 115, 121, 150, 173, 202, 208, 228, 248, 262, 297, 336, 343, 349, 354, 397, 419, 462, 467, 473, 480] [28, 40, 76, 96, 116, 122, 151, 174, 203, 209, 229, 249, 263, 298, 337, 344, 350, 355, 398, 420, 463, 468, 474, 481] [29, 41, 77, 97, 117, 123, 152, 175, 204, 210, 230, 250, 264, 299, 338, 345, 351, 356, 399, 421, 464, 469, 475, 482] [30, 42, 78, 98, 118, 124, 153, 176, 205, 211, 231, 251, 265, 300, 339, 346, 352, 357, 400, 422, 465, 470, 476, 483] [31, 43, 79, 99, 119, 125, 154, 177, 206, 212, 232, 252, 266, 301, 340, 347, 353, 358, 401, 423, 466, 471, 477, 484] [32, 44, 80, 100, 120, 126, 155, 178, 207, 213, 233, 253, 267, 302, 341, 348, 354, 359, 402, 424, 467, 472, 478, 485] [33, 45, 81, 101, 121, 127, 156, 179, 208, 214, 234, 254, 268, 303, 342, 349, 355, 360, 403, 425, 468, 473, 479, 486] [34, 46, 82, 102, 122, 128, 157, 180, 209, 215, 235, 255, 269, 304, 343, 350, 356, 361, 404, 426, 469, 474, 480, 487] [35, 47, 83, 103, 123, 129, 158, 181, 210, 216, 236, 256, 270, 305, 344, 351, 357, 362, 405, 427, 470, 475, 481, 488] [0, 36, 48, 84, 104, 124, 130, 159, 182, 211, 217, 237, 271, 306, 345, 352, 358, 363, 406, 428, 471, 476, 482, 489] [1, 37, 49, 85, 105, 125, 131, 160, 183, 212, 218, 238, 272, 307, 346, 353, 359, 364, 407, 429, 472, 477, 483, 490] [2, 38, 50, 86, 106, 126, 132, 161, 184, 213, 219, 239, 273, 308, 347, 354, 360, 365, 408, 430, 473, 478, 484, 491] [3, 39, 51, 87, 107, 127, 133, 162, 185, 214, 220, 240, 274, 309, 348, 355, 361, 366, 409, 431, 474, 479, 485, 492] [4, 40, 52, 88, 108, 128, 134, 163, 186, 215, 221, 241, 275, 310, 349, 356, 362, 367, 410, 432, 475, 480, 486, 493] [5, 41, 53, 89, 109, 129, 135, 164, 187, 216, 222, 242, 276, 311, 350, 357, 363, 368, 411, 433, 476, 481, 487, 494] [6, 42, 54, 90, 110, 130, 136, 165, 188, 217, 223, 243, 277, 312, 351, 358, 364, 369, 412, 434, 477, 482, 488, 495] [7, 43, 55, 91, 111, 131, 137, 166, 189, 218, 224, 244, 278, 313, 352, 359, 365, 370, 413, 435, 478, 483, 489, 496] [8, 44, 56, 92, 112, 132, 138, 167, 190, 219, 225, 245, 279, 314, 353, 360, 366, 371, 414, 436, 479, 484, 490, 497] [9, 45, 57, 93, 113, 133, 139, 168, 191, 220, 226, 246, 280, 315, 354, 361, 367, 372, 415, 437, 480, 485, 491, 498] [10, 46, 58, 94, 114, 134, 140, 169, 192, 221, 227, 247, 281, 316, 355, 362, 368, 373, 416, 438, 481, 486, 492, 499] [11, 47, 59, 95, 115, 135, 141, 170, 193, 222, 228, 248, 282, 317, 356, 363, 369, 374, 417, 439, 482, 487, 493, 500] [12, 48, 60, 96, 116, 136, 142, 171, 194, 223, 229, 249, 283, 318, 357, 364, 370, 375, 418, 440, 483, 488, 494, 501] [13, 49, 61, 97, 117, 137, 143, 172, 195, 224, 230, 250, 284, 319, 358, 365, 371, 376, 419, 441, 484, 489, 495, 502] [14, 50, 62, 98, 118, 138, 144, 173, 196, 225, 231, 251, 285, 320, 359, 366, 372, 377, 420, 442, 485, 490, 496, 503] [15, 51, 63, 99, 119, 139, 145, 174, 197, 226, 232, 252, 286, 321, 360, 367, 373, 378, 421, 443, 486, 491, 497, 504] [16, 52, 64, 100, 120, 140, 146, 175, 198, 227, 233, 253, 287, 322, 361, 368, 374, 379, 422, 444, 487, 492, 498, 505] [17, 53, 65, 101, 121, 141, 147, 176, 199, 228, 234, 254, 288, 323, 362, 369, 375, 380, 423, 445, 488, 493, 499, 506] [18, 54, 66, 102, 122, 142, 148, 177, 200, 229, 235, 255, 289, 324, 363, 370, 376, 381, 424, 446, 489, 494, 500, 507] [19, 55, 67, 103, 123, 143, 149, 178, 201, 230, 236, 256, 290, 325, 364, 371, 377, 382, 425, 447, 490, 495, 501, 508] [0, 20, 56, 68, 104, 124, 144, 150, 179, 202, 231, 237, 291, 326, 365, 372, 378, 383, 426, 448, 491, 496, 502, 509] [1, 21, 57, 69, 105, 125, 145, 151, 180, 203, 232, 238, 292, 327, 366, 373, 379, 384, 427, 449, 492, 497, 503, 510] [2, 22, 58, 70, 106, 126, 146, 152, 181, 204, 233, 239, 293, 328, 367, 374, 380, 385, 428, 450, 493, 498, 504, 511] [3, 23, 59, 71, 107, 127, 147, 153, 182, 205, 234, 240, 294, 329, 368, 375, 381, 386, 429, 451, 494, 499, 505, 512] [4, 24, 60, 72, 108, 128, 148, 154, 183, 206, 235, 241, 295, 330, 369, 376, 382, 387, 430, 452, 495, 500, 506, 513] [5, 25, 61, 73, 109, 129, 149, 155, 184, 207, 236, 242, 257, 296, 331, 370, 377, 383, 388, 431, 453, 496, 501, 507] [6, 26, 62, 74, 110, 130, 150, 156, 185, 208, 237, 243, 258, 297, 332, 371, 378, 384, 389, 432, 454, 497, 502, 508] [7, 27, 63, 75, 111, 131, 151, 157, 186, 209, 238, 244, 259, 298, 333, 372, 379, 385, 390, 433, 455, 498, 503, 509] [8, 28, 64, 76, 112, 132, 152, 158, 187, 210, 239, 245, 260, 299, 334, 373, 380, 386, 391, 434, 456, 499, 504, 510] [9, 29, 65, 77, 113, 133, 153, 159, 188, 211, 240, 246, 261, 300, 335, 374, 381, 387, 392, 435, 457, 500, 505, 511] [10, 30, 66, 78, 114, 134, 154, 160, 189, 212, 241, 247, 262, 301, 336, 375, 382, 388, 393, 436, 458, 501, 506, 512] [11, 31, 67, 79, 115, 135, 155, 161, 190, 213, 242, 248, 263, 302, 337, 376, 383, 389, 394, 437, 459, 502, 507, 513] [12, 32, 68, 80, 116, 136, 156, 162, 191, 214, 243, 249, 257, 264, 303, 338, 377, 384, 390, 395, 438, 460, 503, 508] [13, 33, 69, 81, 117, 137, 157, 163, 192, 215, 244, 250, 258, 265, 304, 339, 378, 385, 391, 396, 439, 461, 504, 509] [14, 34, 70, 82, 118, 138, 158, 164, 193, 216, 245, 251, 259, 266, 305, 340, 379, 386, 392, 397, 440, 462, 505, 510] [15, 35, 71, 83, 119, 139, 159, 165, 194, 217, 246, 252, 260, 267, 306, 341, 380, 387, 393, 398, 441, 463, 506, 511] [16, 36, 72, 84, 120, 140, 160, 166, 195, 218, 247, 253, 261, 268, 307, 342, 381, 388, 394, 399, 442, 464, 507, 512] [17, 37, 73, 85, 121, 141, 161, 167, 196, 219, 248, 254, 262, 269, 308, 343, 382, 389, 395, 400, 443, 465, 508, 513] [18, 38, 74, 86, 122, 142, 162, 168, 197, 220, 249, 255, 257, 263, 270, 309, 344, 383, 390, 396, 401, 444, 466, 509] [19, 39, 75, 87, 123, 143, 163, 169, 198, 221, 250, 256, 258, 264, 271, 310, 345, 384, 391, 397, 402, 445, 467, 510] [0, 20, 40, 76, 88, 124, 144, 164, 170, 199, 222, 251, 259, 265, 272, 311, 346, 385, 392, 398, 403, 446, 468, 511] [1, 21, 41, 77, 89, 125, 145, 165, 171, 200, 223, 252, 260, 266, 273, 312, 347, 386, 393, 399, 404, 447, 469, 512] [2, 22, 42, 78, 90, 126, 146, 166, 172, 201, 224, 253, 261, 267, 274, 313, 348, 387, 394, 400, 405, 448, 470, 513] [3, 23, 43, 79, 91, 127, 147, 167, 173, 202, 225, 254, 257, 262, 268, 275, 314, 349, 388, 395, 401, 406, 449, 471] [4, 24, 44, 80, 92, 128, 148, 168, 174, 203, 226, 255, 258, 263, 269, 276, 315, 350, 389, 396, 402, 407, 450, 472] [5, 25, 45, 81, 93, 129, 149, 169, 175, 204, 227, 256, 259, 264, 270, 277, 316, 351, 390, 397, 403, 408, 451, 473] [0, 6, 26, 46, 82, 94, 130, 150, 170, 176, 205, 228, 260, 265, 271, 278, 317, 352, 391, 398, 404, 409, 452, 474] [1, 7, 27, 47, 83, 95, 131, 151, 171, 177, 206, 229, 261, 266, 272, 279, 318, 353, 392, 399, 405, 410, 453, 475] [2, 8, 28, 48, 84, 96, 132, 152, 172, 178, 207, 230, 262, 267, 273, 280, 319, 354, 393, 400, 406, 411, 454, 476] [3, 9, 29, 49, 85, 97, 133, 153, 173, 179, 208, 231, 263, 268, 274, 281, 320, 355, 394, 401, 407, 412, 455, 477] [4, 10, 30, 50, 86, 98, 134, 154, 174, 180, 209, 232, 264, 269, 275, 282, 321, 356, 395, 402, 408, 413, 456, 478] [5, 11, 31, 51, 87, 99, 135, 155, 175, 181, 210, 233, 265, 270, 276, 283, 322, 357, 396, 403, 409, 414, 457, 479] [6, 12, 32, 52, 88, 100, 136, 156, 176, 182, 211, 234, 266, 271, 277, 284, 323, 358, 397, 404, 410, 415, 458, 480] [7, 13, 33, 53, 89, 101, 137, 157, 177, 183, 212, 235, 267, 272, 278, 285, 324, 359, 398, 405, 411, 416, 459, 481] [8, 14, 34, 54, 90, 102, 138, 158, 178, 184, 213, 236, 268, 273, 279, 286, 325, 360, 399, 406, 412, 417, 460, 482] [9, 15, 35, 55, 91, 103, 139, 159, 179, 185, 214, 237, 269, 274, 280, 287, 326, 361, 400, 407, 413, 418, 461, 483] [10, 16, 36, 56, 92, 104, 140, 160, 180, 186, 215, 238, 270, 275, 281, 288, 327, 362, 401, 408, 414, 419, 462, 484] [11, 17, 37, 57, 93, 105, 141, 161, 181, 187, 216, 239, 271, 276, 282, 289, 328, 363, 402, 409, 415, 420, 463, 485] [12, 18, 38, 58, 94, 106, 142, 162, 182, 188, 217, 240, 272, 277, 283, 290, 329, 364, 403, 410, 416, 421, 464, 486] [13, 19, 39, 59, 95, 107, 143, 163, 183, 189, 218, 241, 273, 278, 284, 291, 330, 365, 404, 411, 417, 422, 465, 487] [14, 20, 40, 60, 96, 108, 144, 164, 184, 190, 219, 242, 274, 279, 285, 292, 331, 366, 405, 412, 418, 423, 466, 488] [15, 21, 41, 61, 97, 109, 145, 165, 185, 191, 220, 243, 275, 280, 286, 293, 332, 367, 406, 413, 419, 424, 467, 489] [16, 22, 42, 62, 98, 110, 146, 166, 186, 192, 221, 244, 276, 281, 287, 294, 333, 368, 407, 414, 420, 425, 468, 490] [17, 23, 43, 63, 99, 111, 147, 167, 187, 193, 222, 245, 277, 282, 288, 295, 334, 369, 408, 415, 421, 426, 469, 491] [18, 24, 44, 64, 100, 112, 148, 168, 188, 194, 223, 246, 278, 283, 289, 296, 335, 370, 409, 416, 422, 427, 470, 492] [19, 25, 45, 65, 101, 113, 149, 169, 189, 195, 224, 247, 279, 284, 290, 297, 336, 371, 410, 417, 423, 428, 471, 493] [20, 26, 46, 66, 102, 114, 150, 170, 190, 196, 225, 248, 280, 285, 291, 298, 337, 372, 411, 418, 424, 429, 472, 494] [21, 27, 47, 67, 103, 115, 151, 171, 191, 197, 226, 249, 281, 286, 292, 299, 338, 373, 412, 419, 425, 430, 473, 495] [22, 28, 48, 68, 104, 116, 152, 172, 192, 198, 227, 250, 282, 287, 293, 300, 339, 374, 413, 420, 426, 431, 474, 496] [23, 29, 49, 69, 105, 117, 153, 173, 193, 199, 228, 251, 283, 288, 294, 301, 340, 375, 414, 421, 427, 432, 475, 497] [24, 30, 50, 70, 106, 118, 154, 174, 194, 200, 229, 252, 284, 289, 295, 302, 341, 376, 415, 422, 428, 433, 476, 498] [25, 31, 51, 71, 107, 119, 155, 175, 195, 201, 230, 253, 285, 290, 296, 303, 342, 377, 416, 423, 429, 434, 477, 499] [26, 32, 52, 72, 108, 120, 156, 176, 196, 202, 231, 254, 286, 291, 297, 304, 343, 378, 417, 424, 430, 435, 478, 500] [27, 33, 53, 73, 109, 121, 157, 177, 197, 203, 232, 255, 287, 292, 298, 305, 344, 379, 418, 425, 431, 436, 479, 501] [28, 34, 54, 74, 110, 122, 158, 178, 198, 204, 233, 256, 288, 293, 299, 306, 345, 380, 419, 426, 432, 437, 480, 502] [0, 29, 35, 55, 75, 111, 123, 159, 179, 199, 205, 234, 289, 294, 300, 307, 346, 381, 420, 427, 433, 438, 481, 503] [1, 30, 36, 56, 76, 112, 124, 160, 180, 200, 206, 235, 290, 295, 301, 308, 347, 382, 421, 428, 434, 439, 482, 504] [2, 31, 37, 57, 77, 113, 125, 161, 181, 201, 207, 236, 291, 296, 302, 309, 348, 383, 422, 429, 435, 440, 483, 505] [3, 32, 38, 58, 78, 114, 126, 162, 182, 202, 208, 237, 292, 297, 303, 310, 349, 384, 423, 430, 436, 441, 484, 506] [4, 33, 39, 59, 79, 115, 127, 163, 183, 203, 209, 238, 293, 298, 304, 311, 350, 385, 424, 431, 437, 442, 485, 507] [5, 34, 40, 60, 80, 116, 128, 164, 184, 204, 210, 239, 294, 299, 305, 312, 351, 386, 425, 432, 438, 443, 486, 508] [6, 35, 41, 61, 81, 117, 129, 165, 185, 205, 211, 240, 295, 300, 306, 313, 352, 387, 426, 433, 439, 444, 487, 509] [7, 36, 42, 62, 82, 118, 130, 166, 186, 206, 212, 241, 296, 301, 307, 314, 353, 388, 427, 434, 440, 445, 488, 510] [8, 37, 43, 63, 83, 119, 131, 167, 187, 207, 213, 242, 297, 302, 308, 315, 354, 389, 428, 435, 441, 446, 489, 511] [9, 38, 44, 64, 84, 120, 132, 168, 188, 208, 214, 243, 298, 303, 309, 316, 355, 390, 429, 436, 442, 447, 490, 512] [10, 39, 45, 65, 85, 121, 133, 169, 189, 209, 215, 244, 299, 304, 310, 317, 356, 391, 430, 437, 443, 448, 491, 513] [11, 40, 46, 66, 86, 122, 134, 170, 190, 210, 216, 245, 257, 300, 305, 311, 318, 357, 392, 431, 438, 444, 449, 492] [12, 41, 47, 67, 87, 123, 135, 171, 191, 211, 217, 246, 258, 301, 306, 312, 319, 358, 393, 432, 439, 445, 450, 493] [13, 42, 48, 68, 88, 124, 136, 172, 192, 212, 218, 247, 259, 302, 307, 313, 320, 359, 394, 433, 440, 446, 451, 494] [14, 43, 49, 69, 89, 125, 137, 173, 193, 213, 219, 248, 260, 303, 308, 314, 321, 360, 395, 434, 441, 447, 452, 495] [15, 44, 50, 70, 90, 126, 138, 174, 194, 214, 220, 249, 261, 304, 309, 315, 322, 361, 396, 435, 442, 448, 453, 496] [16, 45, 51, 71, 91, 127, 139, 175, 195, 215, 221, 250, 262, 305, 310, 316, 323, 362, 397, 436, 443, 449, 454, 497] [17, 46, 52, 72, 92, 128, 140, 176, 196, 216, 222, 251, 263, 306, 311, 317, 324, 363, 398, 437, 444, 450, 455, 498] [18, 47, 53, 73, 93, 129, 141, 177, 197, 217, 223, 252, 264, 307, 312, 318, 325, 364, 399, 438, 445, 451, 456, 499] [19, 48, 54, 74, 94, 130, 142, 178, 198, 218, 224, 253, 265, 308, 313, 319, 326, 365, 400, 439, 446, 452, 457, 500] [20, 49, 55, 75, 95, 131, 143, 179, 199, 219, 225, 254, 266, 309, 314, 320, 327, 366, 401, 440, 447, 453, 458, 501] [21, 50, 56, 76, 96, 132, 144, 180, 200, 220, 226, 255, 267, 310, 315, 321, 328, 367, 402, 441, 448, 454, 459, 502] [22, 51, 57, 77, 97, 133, 145, 181, 201, 221, 227, 256, 268, 311, 316, 322, 329, 368, 403, 442, 449, 455, 460, 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Code ID 514-130-38 · download JSON · raw on GitHub