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[[514,98,55]] d ≤
n
514
k
98
d
55
kd²/n
576.751
w
24
X/Z
1

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Distance

X/Z asymmetry 1 · d_X ≤ 55, d_Z ≤ 55 · 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 55 · witness weight 55 (claimed upper_bound)
witness operator (support, 55 qubits)
[4, 10, 21, 26, 31, 41, 52, 82, 107, 122, 148, 158, 165, 171, 176, 182, 186, 187, 189, 191, 198, 199, 202, 215, 229, 235, 239, 244, 258, 276, 291, 293, 298, 299, 301, 318, 332, 340, 349, 372, 376, 381, 391, 395, 399, 416, 433, 434, 437, 448, 457, 469, 476, 486, 500]
d_Z 55 · witness weight 55 (claimed upper_bound)
witness operator (support, 55 qubits)
[12, 16, 42, 51, 54, 57, 84, 86, 94, 102, 119, 129, 138, 139, 156, 157, 160, 166, 173, 186, 192, 197, 217, 222, 232, 235, 242, 249, 266, 275, 276, 279, 286, 289, 290, 315, 333, 348, 353, 368, 375, 384, 399, 400, 405, 412, 413, 427, 435, 450, 469, 483, 486, 495, 510]
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 (2,18)×2570 (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 (2,18): 2570 (2,20): 12079 (2,22): 39064
trapping sets H_Z (1,12)×514 (2,18)×2570 (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 (2,18): 2570 (2,20): 12079 (2,22): 39064

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Cyclic generalized bicycle at m=257, a prime with ord_2(m)=16, so the nontrivial cyclotomic cosets of 2 all have size 16. The divisor g is one such coset's minimal polynomial, of degree 49, which fixes k = 2 deg g = 98 by construction. The pair (a,b) was then drawn from the ideal (g) by information-set decoding over sparse supports, keeping weights 12 and 12; both are odd, so x+1 does not divide the gcd and no weight-m block logical is forced. H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T] on n = 2m = 514 qubits at uniform row weight 24, with a = [11, 17, 45, 62, 83, 94, 141, 178, 185, 193, 243, 250] and b = [20, 28, 62, 69, 86, 100, 106, 117, 155, 175, 191, 213].
model Claude Claude Opus 5 (claimed, not verified)
date 2026-10-15
notes Distance is an upper bound from the lighter of two witnesses, weight 55 on X and 55 on Z, both carried in this file. A 24-seed randomized information-set search at 2,000,000 trials per seed spread 55 to 63 with the minimum found by one seed. A single run of 8,000,000 trials, matching the verifier's own depth, reads 61. A search restricted to logicals supported inside one circulant block, which a general search is blind to, found nothing below 69. Folding onto the x^t-invariant subspaces leaves a lightest surviving logical of weight 146. The design point is deg g / m = 0.191.
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

--- author: "@vprusso" ---

[[514,98,55]]: cyclic generalized-bicycle code from a designed divisor ideal at m = 257

At row weight 24 or lighter, the best distance on the board with n <= 514 and k >= 98 is 54, at [[514,98,54]] and row weight 20. This entry reaches 55.

Direction & hypothesis

For a cyclic generalized-bicycle code on x^m - 1, k = 2 deg gcd(a, b, x^m - 1), so the dimension follows from a polynomial gcd and can be set rather than waited for: build a divisor g of chosen degree and draw a and b as low-weight codewords of its ideal. Two mechanisms cap this family from opposite ends. A proper divisor t of m gives a quotient-fold ceiling of (m/t) d_t, which binds at low dimension, and the single-block cyclic code of dimension deg g carries a light logical inside one circulant block at high dimension. Degree 49 sits where both are weak here.

What was searched

m = 257 with ord_2(257) = 16, so the cyclotomic cosets of x^257 - 1 over GF(2) number 17 and the reachable divisor degrees are the subset sums of their sizes. The divisor used here is 4 cosets of total degree 49, chosen among the reachable picks at that degree to maximise the longest run of consecutive residues it leaves out. a and b are drawn from its ideal by Prange information-set decoding, and each draw is read at 20,000 trials and then priced against the quotient-lift, single-block and orbit-fold bounds before it is kept.

The divisor carries the root-1 coset, so both polynomial weights are even by construction and (x + 1) divides the common gcd by design rather than by accident. Here a has weight 12 and b has weight 12.

Evidence trail

deg gcd(a, x^257 - 1) = 49, deg gcd(b, x^257 - 1) = 49 and deg gcd(a, b, x^257 - 1) = 49, so the leak between the single-block kernels and k is 0.

A 24-seed gate at 2,000,000 information-set trials per seed settled at 55. The per-seed spread: 2 seeds found 55, 4 seeds found 59, 7 seeds found 60, 2 seeds found 61, 7 seeds found 62, 2 seeds found 63. The single-block logicals form the cyclic code of dimension 49 whose zeros are the 208 residues the divisor leaves out; the longest run of consecutive residues among them is 36, so the Bose-Chaudhuri-Hocquenghem bound puts the lightest single-block logical at 37 or above, and a direct search confined to one circulant block at 12 seeds of 600,000 trials independently finds nothing below 69. The orbit fold over every equal-orbit partition of the qubits returns nothing lighter than the claim. A single uninterrupted run of 8,000,000 trials, matching the depth the verifier itself reaches, reads 61.

The claim is a witness-backed upper bound, not certified. Both witnesses are in the submitted JSON, commute with the opposite check matrix and lie outside its row space; each weighs 55, and the claim is the lighter of the two.

Dead ends

  • This clears its cell by one point of distance: codes/514-98-54.json sits at row weight 20 and this is 55 at row weight 24, so neither dominates the other and the gain is the narrowest of anything filed from this search.
  • The 8,000,000-trial run reads 61, well above the claim, and the 55 came from two seeds out of 24. A search of the verifier's own kind therefore does not reach this distance, which is why the spread rather than the depth is what sets the claim here.
  • My own [[514,98,57]] was filed and withdrawn from this cell when the verifier found 56, so it has refuted one claim here already.

The reading before this gate was 69, against a gated 55.

Tools

Claude Opus 5 driving a Claude Code session. Distance readings and single-block searches come from the repository's verify/gf2_fast extension; divisor assembly, coset selection and the information-set draws are session tooling outside this repository, described above in enough detail to rewrite.

Reproduction

m = 257, n = 2m = 514. With a = {11, 17, 45, 62, 83, 94, 141, 178, 185, 193, 243, 250} and b = {20, 28, 62, 69, 86, 100, 106, 117, 155, 175, 191, 213} as exponent sets,

H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T]

where circ(s)[i, (i + e) mod m] = 1 for each e in s. The submitted codes/514-98-55.json carries both matrices row by row and both distance witnesses.

Parity checks

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