[[682,172,76]] · QEC Challenge

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[[682,172,76]] d ≤

682

172

kd²/n

1456.704

X/Z

1.01

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Distance

X/Z asymmetry 1.01 · d_X ≤ 76, d_Z ≤ 77 · w_X = 28, w_Z = 28 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 76 · witness weight 76 (claimed upper_bound)

witness found by @DennisWayo · circulant-GB structural gate · found at 4×10⁵ trials · 2026-09-18

witness operator (support, 76 qubits)

[3, 4, 5, 7, 10, 11, 12, 14, 18, 29, 33, 34, 37, 39, 44, 47, 55, 58, 59, 66, 72, 80, 90, 100, 104, 121, 126, 134, 136, 137, 144, 146, 148, 158, 159, 164, 165, 174, 186, 189, 197, 198, 200, 205, 208, 210, 214, 218, 221, 224, 226, 233, 242, 244, 245, 248, 249, 253, 254, 258, 259, 266, 268, 270, 276, 289, 291, 306, 317, 318, 328, 332, 334, 335, 337, 339]

d_Z 77 · witness weight 77 (claimed upper_bound)

witness found by @vprusso · norm-word lift of a Z_31 quotient logical (exact algebra) · found at 1 trials · survived 1 trials · 2026-09-26

witness operator (support, 77 qubits)

[13, 16, 20, 29, 44, 47, 51, 60, 75, 78, 82, 91, 106, 109, 113, 122, 137, 140, 144, 153, 168, 171, 175, 184, 199, 202, 206, 215, 230, 233, 237, 246, 261, 264, 268, 277, 292, 295, 299, 308, 323, 326, 330, 339, 342, 346, 349, 373, 377, 380, 404, 408, 411, 435, 439, 442, 466, 470, 473, 497, 501, 504, 528, 532, 535, 559, 563, 566, 590, 594, 597, 621, 625, 628, 652, 656, 659]

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 28 · H_Z 28

qubit degrees H_X 14 · H_Z 14

trapping sets H_X (1,14)×682 (2,18)×341 (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

(1,14): 682 (2,18): 341 (2,20): 341 (2,22): 3751 (2,24): 19437 (2,26): 75702

trapping sets H_Z (1,14)×682 (2,18)×341 (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

(1,14): 682 (2,18): 341 (2,20): 341 (2,22): 3751 (2,24): 19437 (2,26): 75702

Construction & provenance

authors @DennisWayo

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code over Z_341; divisor ideal degree 86 from x³⁴¹+1 over GF(2); a=[0, 1, 4, 11, 32, 44, 88, 128, 143, 146, 159, 239, 275, 314]; b=[5, 12, 97, 98, 105, 108, 119, 129, 185, 218, 222, 242, 251, 304]; H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T].

model OpenAI GPT-5 (Codex) (claimed, not verified)

date 2026-09-21

notes Cyclic-ideal generalized-bicycle candidate with an honest witness-backed upper bound. Heavier staging claims collapsed from d<=89 to 79, then 77, and finally to the submitted weight-76 X witness under the trusted circulant-GB structural gate. A final local CI-style pass at d<=76 ran 400000 structural trials, the Python RIS pass, and 8000000 RIS-fast trials without finding a logical lighter than 76. This entry has a distinct exact fingerprint but the same verifier WL signature as codes/682-172-79.json, so possible equivalence is disclosed rather than excluded. Its maximum check weight is 28 instead of 32, which advances the unrestricted weight-9plus frontier on the check-weight axis. This is not an exact-distance claim. The sibling entry cited above as codes/682-172-79.json has since been refiled as codes/682-172-72.json on github.com/unitaryfoundation/qldpc-challenge.

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

[[682,172,76]]: per-side distance revision

Revision history

The entry keeps its parameters [[682,172,76]]. The code, its checks, and its original provenance are unchanged; only the distance block is corrected. The entry is a cyclic generalized-bicycle code on Z_341 with H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. Structural witnesses exhibit a weight-77 Z logical: on the Z side, the Z_31 quotient code (both generator polynomials reduced modulo x^31 - 1) has a weight-7 logical whose norm-word lift, multiplication by 1 + x^31 + ... + x^310, is a weight-77 logical of the full code. The overall distance d = 76 is unchanged; only the Z side value moves. Each lighter witness is carried in the entry; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

The witnesses are not sampled on the full code. A quotient logical is found by information-set search on the small quotient code, lifted by the norm word (which maps the kernel of the quotient Z checks into the kernel of the full Z checks and cannot turn a non-stabilizer into a stabilizer, since the norm word is 1 modulo x^m' - 1), and re-validated on the committed check matrices: in the kernel of the opposite side's checks and outside the row space of its own side. The witness_provenance sampling fields therefore carry the placeholder 1 and the tool field names the construction. Where the lifted witness validates on one side, its block-swap and reversal transport was validated on the other.

| side | claimed | lightest witness | mechanism | |---|---|---|---| | X | 76 | 77 | cyclic_bounds quotient m'=31, 400 trials | | Z | 79 | 77 | cyclic_bounds quotient m'=31, 400 trials |

Quotient search log (gf2_fast information-set search on each quotient code with k > 0):

| m' | k of quotient | seed | side | quotient weight | lifted weight | lift valid | transports valid | |---|---|---|---|---|---|---|---| | 11 | 2 | 11 | X | 5 | 155 | yes | swap+reverse, swap+reverse2 | | 11 | 2 | 12 | X | 5 | 155 | yes | swap+reverse, swap+reverse2 | | 11 | 2 | 13 | X | 5 | 155 | yes | swap+reverse, swap+reverse2 | | 31 | 12 | 11 | X | 7 | 77 | yes | swap+reverse, swap+reverse2 | | 31 | 12 | 12 | X | 7 | 77 | yes | swap+reverse, swap+reverse2 | | 31 | 12 | 13 | X | 7 | 77 | yes | swap+reverse, swap+reverse2 |

The 300M-trial randomized-information-set pass of the 2026-09-22 audit did not find these operators; they sit in the low-dimensional subspace of norm-word multiples that a plain information-set search rarely samples.

Original note, with the file paths updated

[[682,172,76]] — lower-weight cyclic generalized-bicycle representation

Direction & hypothesis

This search targeted the unrestricted, weight-9plus cell at the challenge's n <= 700 limit. The goal of this submission is not to beat the largest scalar k*d^2/n score. It tests whether the same [[682,172,d<=76]] parameters can be represented by sparser checks and therefore improve the Pareto frontier on the maximum-check-weight axis.

The submitted code has maximum check weight 28. The existing the [[682,172,79]] entry (its file has since been refiled), whose current distance block has d <= 76, has maximum check weight 32. The two files have different exact stabilizer fingerprints but the verifier gives them the same Weisfeiler-Lehman signature. This flags a possible equivalence under relabeling; it is disclosed here and is not claimed as either a proved isomorphism or a new parameter set.

What was searched

The broader search mined sparse polynomial-ideal words for cyclic generalized bicycles over several odd cyclic orders, including 331, 335, and 341. Candidate pairs were filtered first by CSS validity, exact rank, check weight, and a cheap distance surrogate. Survivors then entered a 400,000-trial structural search specialized to circulant generalized-bicycle codes, followed by the challenge's Python RIS and native RIS-fast refutation ladder.

For this order-341 code, both circulant supports have weight 14, giving maximum row weight 28. The initial screen retained an optimistic d <= 89 claim. Every later low-weight logical was preserved and used to lower the claim rather than retrying until a favorable seed appeared.

Evidence trail

The final claim is a witness-backed upper bound d <= 76, not an exact distance certificate. The submitted X witness has weight 76 and the submitted Z witness has weight 79, so the reported code bound is their minimum.

| Stage | Seed | Budget | Outcome | |---|---:|---:|---| | Initial structural screen | — | screening | retained d <= 89 | | RIS-fast downgrade | 902085417 | 8,000,000 | found weight 79 | | RIS-fast downgrade | 991087965 | 8,000,000 | found weight-77 X logical | | Circulant-GB structural gate | 9181511 | 400,000 | found submitted weight-76 X logical | | Final circulant-GB gate | 9217611 | 400,000 | no refutation; best sampled weight 80 | | Final Python RIS gate | 9217600 | 106,840, 240 s cap | no refutation; best sampled weight 86 | | Final RIS-fast gate | 9217607 | 8,000,000 | no refutation; best sampled weight 78 |

The final uninterrupted gate took about 49.6 minutes locally. CI uses a fresh seed and may still find a lighter logical, in which case the claim should be downgraded again.

Dead ends

The principal dead end was distance inflation from shallow screening. This one candidate fell through four advertised bounds: 89, 79, 77, and 76. Similar high-scoring candidates from the same sweep collapsed under structural or RIS-fast testing. The useful result was therefore not the initial scalar score, but the sparse weight-28 representation that remained board-advancing after the distance claim was corrected.

This experience motivated the search order used here: Pareto-filter by (n,k,d,w) before expensive testing, then require structural, Python RIS, and 8M RIS-fast passes before publication.

Tools

Coordinating model: OpenAI GPT-5 (Codex), matching provenance.model. The search used a cyclic-ideal generalized-bicycle miner, exact GF(2) rank and commutation checks, the trusted circulant-GB structural gate, Python RIS, and the native gf2_fast refuter from the challenge verifier. Model attribution is self-reported; all mathematical acceptance checks are performed by the public verifier.

Reproduction

Let C(S) be the 341 by 341 binary circulant whose row i has ones at columns (i+s) mod 341 for s in S. Use H_X = [C(A) | C(B)] and H_Z = [C(B)^T | C(A)^T], with

A = [0,1,4,11,32,44,88,128,143,146,159,239,275,314]
B = [5,12,97,98,105,108,119,129,185,218,222,242,251,304]

The following standard-library-only snippet reconstructs the submitted rows:

import json
from pathlib import Path

m = 341
A = [0,1,4,11,32,44,88,128,143,146,159,239,275,314]
B = [5,12,97,98,105,108,119,129,185,218,222,242,251,304]
hx = [sorted([(i+a) % m for a in A] +
             [m+(i+b) % m for b in B]) for i in range(m)]
hz = [sorted([(i-b) % m for b in B] +
             [m+(i-a) % m for a in A]) for i in range(m)]
doc = json.loads(Path("codes/682-172-76.json").read_text())
assert doc["checks"]["X"] == hx
assert doc["checks"]["Z"] == hz

Verify the schema, CSS relations, ranks, check weight, and both logical witnesses from the repository root:

uv run --frozen python verify/qldpc_verify.py codes/682-172-76.json

Parity checks

X-checks 341 (max weight 28) · Z-checks 341 (max weight 28)

H_X (341 checks, sparse supports)

[0, 1, 4, 11, 32, 44, 88, 128, 143, 146, 159, 239, 275, 314, 346, 353, 438, 439, 446, 449, 460, 470, 526, 559, 563, 583, 592, 645] [1, 2, 5, 12, 33, 45, 89, 129, 144, 147, 160, 240, 276, 315, 347, 354, 439, 440, 447, 450, 461, 471, 527, 560, 564, 584, 593, 646] [2, 3, 6, 13, 34, 46, 90, 130, 145, 148, 161, 241, 277, 316, 348, 355, 440, 441, 448, 451, 462, 472, 528, 561, 565, 585, 594, 647] [3, 4, 7, 14, 35, 47, 91, 131, 146, 149, 162, 242, 278, 317, 349, 356, 441, 442, 449, 452, 463, 473, 529, 562, 566, 586, 595, 648] [4, 5, 8, 15, 36, 48, 92, 132, 147, 150, 163, 243, 279, 318, 350, 357, 442, 443, 450, 453, 464, 474, 530, 563, 567, 587, 596, 649] [5, 6, 9, 16, 37, 49, 93, 133, 148, 151, 164, 244, 280, 319, 351, 358, 443, 444, 451, 454, 465, 475, 531, 564, 568, 588, 597, 650] [6, 7, 10, 17, 38, 50, 94, 134, 149, 152, 165, 245, 281, 320, 352, 359, 444, 445, 452, 455, 466, 476, 532, 565, 569, 589, 598, 651] [7, 8, 11, 18, 39, 51, 95, 135, 150, 153, 166, 246, 282, 321, 353, 360, 445, 446, 453, 456, 467, 477, 533, 566, 570, 590, 599, 652] [8, 9, 12, 19, 40, 52, 96, 136, 151, 154, 167, 247, 283, 322, 354, 361, 446, 447, 454, 457, 468, 478, 534, 567, 571, 591, 600, 653] [9, 10, 13, 20, 41, 53, 97, 137, 152, 155, 168, 248, 284, 323, 355, 362, 447, 448, 455, 458, 469, 479, 535, 568, 572, 592, 601, 654] [10, 11, 14, 21, 42, 54, 98, 138, 153, 156, 169, 249, 285, 324, 356, 363, 448, 449, 456, 459, 470, 480, 536, 569, 573, 593, 602, 655] [11, 12, 15, 22, 43, 55, 99, 139, 154, 157, 170, 250, 286, 325, 357, 364, 449, 450, 457, 460, 471, 481, 537, 570, 574, 594, 603, 656] [12, 13, 16, 23, 44, 56, 100, 140, 155, 158, 171, 251, 287, 326, 358, 365, 450, 451, 458, 461, 472, 482, 538, 571, 575, 595, 604, 657] [13, 14, 17, 24, 45, 57, 101, 141, 156, 159, 172, 252, 288, 327, 359, 366, 451, 452, 459, 462, 473, 483, 539, 572, 576, 596, 605, 658] [14, 15, 18, 25, 46, 58, 102, 142, 157, 160, 173, 253, 289, 328, 360, 367, 452, 453, 460, 463, 474, 484, 540, 573, 577, 597, 606, 659] [15, 16, 19, 26, 47, 59, 103, 143, 158, 161, 174, 254, 290, 329, 361, 368, 453, 454, 461, 464, 475, 485, 541, 574, 578, 598, 607, 660] [16, 17, 20, 27, 48, 60, 104, 144, 159, 162, 175, 255, 291, 330, 362, 369, 454, 455, 462, 465, 476, 486, 542, 575, 579, 599, 608, 661] [17, 18, 21, 28, 49, 61, 105, 145, 160, 163, 176, 256, 292, 331, 363, 370, 455, 456, 463, 466, 477, 487, 543, 576, 580, 600, 609, 662] [18, 19, 22, 29, 50, 62, 106, 146, 161, 164, 177, 257, 293, 332, 364, 371, 456, 457, 464, 467, 478, 488, 544, 577, 581, 601, 610, 663] [19, 20, 23, 30, 51, 63, 107, 147, 162, 165, 178, 258, 294, 333, 365, 372, 457, 458, 465, 468, 479, 489, 545, 578, 582, 602, 611, 664] [20, 21, 24, 31, 52, 64, 108, 148, 163, 166, 179, 259, 295, 334, 366, 373, 458, 459, 466, 469, 480, 490, 546, 579, 583, 603, 612, 665] [21, 22, 25, 32, 53, 65, 109, 149, 164, 167, 180, 260, 296, 335, 367, 374, 459, 460, 467, 470, 481, 491, 547, 580, 584, 604, 613, 666] [22, 23, 26, 33, 54, 66, 110, 150, 165, 168, 181, 261, 297, 336, 368, 375, 460, 461, 468, 471, 482, 492, 548, 581, 585, 605, 614, 667] [23, 24, 27, 34, 55, 67, 111, 151, 166, 169, 182, 262, 298, 337, 369, 376, 461, 462, 469, 472, 483, 493, 549, 582, 586, 606, 615, 668] [24, 25, 28, 35, 56, 68, 112, 152, 167, 170, 183, 263, 299, 338, 370, 377, 462, 463, 470, 473, 484, 494, 550, 583, 587, 607, 616, 669] [25, 26, 29, 36, 57, 69, 113, 153, 168, 171, 184, 264, 300, 339, 371, 378, 463, 464, 471, 474, 485, 495, 551, 584, 588, 608, 617, 670] [26, 27, 30, 37, 58, 70, 114, 154, 169, 172, 185, 265, 301, 340, 372, 379, 464, 465, 472, 475, 486, 496, 552, 585, 589, 609, 618, 671] [0, 27, 28, 31, 38, 59, 71, 115, 155, 170, 173, 186, 266, 302, 373, 380, 465, 466, 473, 476, 487, 497, 553, 586, 590, 610, 619, 672] [1, 28, 29, 32, 39, 60, 72, 116, 156, 171, 174, 187, 267, 303, 374, 381, 466, 467, 474, 477, 488, 498, 554, 587, 591, 611, 620, 673] [2, 29, 30, 33, 40, 61, 73, 117, 157, 172, 175, 188, 268, 304, 375, 382, 467, 468, 475, 478, 489, 499, 555, 588, 592, 612, 621, 674] [3, 30, 31, 34, 41, 62, 74, 118, 158, 173, 176, 189, 269, 305, 376, 383, 468, 469, 476, 479, 490, 500, 556, 589, 593, 613, 622, 675] [4, 31, 32, 35, 42, 63, 75, 119, 159, 174, 177, 190, 270, 306, 377, 384, 469, 470, 477, 480, 491, 501, 557, 590, 594, 614, 623, 676] [5, 32, 33, 36, 43, 64, 76, 120, 160, 175, 178, 191, 271, 307, 378, 385, 470, 471, 478, 481, 492, 502, 558, 591, 595, 615, 624, 677] [6, 33, 34, 37, 44, 65, 77, 121, 161, 176, 179, 192, 272, 308, 379, 386, 471, 472, 479, 482, 493, 503, 559, 592, 596, 616, 625, 678] [7, 34, 35, 38, 45, 66, 78, 122, 162, 177, 180, 193, 273, 309, 380, 387, 472, 473, 480, 483, 494, 504, 560, 593, 597, 617, 626, 679] [8, 35, 36, 39, 46, 67, 79, 123, 163, 178, 181, 194, 274, 310, 381, 388, 473, 474, 481, 484, 495, 505, 561, 594, 598, 618, 627, 680] [9, 36, 37, 40, 47, 68, 80, 124, 164, 179, 182, 195, 275, 311, 382, 389, 474, 475, 482, 485, 496, 506, 562, 595, 599, 619, 628, 681] [10, 37, 38, 41, 48, 69, 81, 125, 165, 180, 183, 196, 276, 312, 341, 383, 390, 475, 476, 483, 486, 497, 507, 563, 596, 600, 620, 629] [11, 38, 39, 42, 49, 70, 82, 126, 166, 181, 184, 197, 277, 313, 342, 384, 391, 476, 477, 484, 487, 498, 508, 564, 597, 601, 621, 630] [12, 39, 40, 43, 50, 71, 83, 127, 167, 182, 185, 198, 278, 314, 343, 385, 392, 477, 478, 485, 488, 499, 509, 565, 598, 602, 622, 631] [13, 40, 41, 44, 51, 72, 84, 128, 168, 183, 186, 199, 279, 315, 344, 386, 393, 478, 479, 486, 489, 500, 510, 566, 599, 603, 623, 632] [14, 41, 42, 45, 52, 73, 85, 129, 169, 184, 187, 200, 280, 316, 345, 387, 394, 479, 480, 487, 490, 501, 511, 567, 600, 604, 624, 633] [15, 42, 43, 46, 53, 74, 86, 130, 170, 185, 188, 201, 281, 317, 346, 388, 395, 480, 481, 488, 491, 502, 512, 568, 601, 605, 625, 634] [16, 43, 44, 47, 54, 75, 87, 131, 171, 186, 189, 202, 282, 318, 347, 389, 396, 481, 482, 489, 492, 503, 513, 569, 602, 606, 626, 635] [17, 44, 45, 48, 55, 76, 88, 132, 172, 187, 190, 203, 283, 319, 348, 390, 397, 482, 483, 490, 493, 504, 514, 570, 603, 607, 627, 636] [18, 45, 46, 49, 56, 77, 89, 133, 173, 188, 191, 204, 284, 320, 349, 391, 398, 483, 484, 491, 494, 505, 515, 571, 604, 608, 628, 637] [19, 46, 47, 50, 57, 78, 90, 134, 174, 189, 192, 205, 285, 321, 350, 392, 399, 484, 485, 492, 495, 506, 516, 572, 605, 609, 629, 638] [20, 47, 48, 51, 58, 79, 91, 135, 175, 190, 193, 206, 286, 322, 351, 393, 400, 485, 486, 493, 496, 507, 517, 573, 606, 610, 630, 639] [21, 48, 49, 52, 59, 80, 92, 136, 176, 191, 194, 207, 287, 323, 352, 394, 401, 486, 487, 494, 497, 508, 518, 574, 607, 611, 631, 640] [22, 49, 50, 53, 60, 81, 93, 137, 177, 192, 195, 208, 288, 324, 353, 395, 402, 487, 488, 495, 498, 509, 519, 575, 608, 612, 632, 641] [23, 50, 51, 54, 61, 82, 94, 138, 178, 193, 196, 209, 289, 325, 354, 396, 403, 488, 489, 496, 499, 510, 520, 576, 609, 613, 633, 642] [24, 51, 52, 55, 62, 83, 95, 139, 179, 194, 197, 210, 290, 326, 355, 397, 404, 489, 490, 497, 500, 511, 521, 577, 610, 614, 634, 643] [25, 52, 53, 56, 63, 84, 96, 140, 180, 195, 198, 211, 291, 327, 356, 398, 405, 490, 491, 498, 501, 512, 522, 578, 611, 615, 635, 644] [26, 53, 54, 57, 64, 85, 97, 141, 181, 196, 199, 212, 292, 328, 357, 399, 406, 491, 492, 499, 502, 513, 523, 579, 612, 616, 636, 645] [27, 54, 55, 58, 65, 86, 98, 142, 182, 197, 200, 213, 293, 329, 358, 400, 407, 492, 493, 500, 503, 514, 524, 580, 613, 617, 637, 646] [28, 55, 56, 59, 66, 87, 99, 143, 183, 198, 201, 214, 294, 330, 359, 401, 408, 493, 494, 501, 504, 515, 525, 581, 614, 618, 638, 647] [29, 56, 57, 60, 67, 88, 100, 144, 184, 199, 202, 215, 295, 331, 360, 402, 409, 494, 495, 502, 505, 516, 526, 582, 615, 619, 639, 648] [30, 57, 58, 61, 68, 89, 101, 145, 185, 200, 203, 216, 296, 332, 361, 403, 410, 495, 496, 503, 506, 517, 527, 583, 616, 620, 640, 649] [31, 58, 59, 62, 69, 90, 102, 146, 186, 201, 204, 217, 297, 333, 362, 404, 411, 496, 497, 504, 507, 518, 528, 584, 617, 621, 641, 650] [32, 59, 60, 63, 70, 91, 103, 147, 187, 202, 205, 218, 298, 334, 363, 405, 412, 497, 498, 505, 508, 519, 529, 585, 618, 622, 642, 651] [33, 60, 61, 64, 71, 92, 104, 148, 188, 203, 206, 219, 299, 335, 364, 406, 413, 498, 499, 506, 509, 520, 530, 586, 619, 623, 643, 652] [34, 61, 62, 65, 72, 93, 105, 149, 189, 204, 207, 220, 300, 336, 365, 407, 414, 499, 500, 507, 510, 521, 531, 587, 620, 624, 644, 653] [35, 62, 63, 66, 73, 94, 106, 150, 190, 205, 208, 221, 301, 337, 366, 408, 415, 500, 501, 508, 511, 522, 532, 588, 621, 625, 645, 654] [36, 63, 64, 67, 74, 95, 107, 151, 191, 206, 209, 222, 302, 338, 367, 409, 416, 501, 502, 509, 512, 523, 533, 589, 622, 626, 646, 655] [37, 64, 65, 68, 75, 96, 108, 152, 192, 207, 210, 223, 303, 339, 368, 410, 417, 502, 503, 510, 513, 524, 534, 590, 623, 627, 647, 656] [38, 65, 66, 69, 76, 97, 109, 153, 193, 208, 211, 224, 304, 340, 369, 411, 418, 503, 504, 511, 514, 525, 535, 591, 624, 628, 648, 657] [0, 39, 66, 67, 70, 77, 98, 110, 154, 194, 209, 212, 225, 305, 370, 412, 419, 504, 505, 512, 515, 526, 536, 592, 625, 629, 649, 658] [1, 40, 67, 68, 71, 78, 99, 111, 155, 195, 210, 213, 226, 306, 371, 413, 420, 505, 506, 513, 516, 527, 537, 593, 626, 630, 650, 659] [2, 41, 68, 69, 72, 79, 100, 112, 156, 196, 211, 214, 227, 307, 372, 414, 421, 506, 507, 514, 517, 528, 538, 594, 627, 631, 651, 660] [3, 42, 69, 70, 73, 80, 101, 113, 157, 197, 212, 215, 228, 308, 373, 415, 422, 507, 508, 515, 518, 529, 539, 595, 628, 632, 652, 661] [4, 43, 70, 71, 74, 81, 102, 114, 158, 198, 213, 216, 229, 309, 374, 416, 423, 508, 509, 516, 519, 530, 540, 596, 629, 633, 653, 662] [5, 44, 71, 72, 75, 82, 103, 115, 159, 199, 214, 217, 230, 310, 375, 417, 424, 509, 510, 517, 520, 531, 541, 597, 630, 634, 654, 663] [6, 45, 72, 73, 76, 83, 104, 116, 160, 200, 215, 218, 231, 311, 376, 418, 425, 510, 511, 518, 521, 532, 542, 598, 631, 635, 655, 664] [7, 46, 73, 74, 77, 84, 105, 117, 161, 201, 216, 219, 232, 312, 377, 419, 426, 511, 512, 519, 522, 533, 543, 599, 632, 636, 656, 665] [8, 47, 74, 75, 78, 85, 106, 118, 162, 202, 217, 220, 233, 313, 378, 420, 427, 512, 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638, 645] [40, 80, 95, 98, 111, 191, 227, 266, 293, 294, 297, 304, 325, 337, 390, 391, 398, 401, 412, 422, 478, 511, 515, 535, 544, 597, 639, 646] [41, 81, 96, 99, 112, 192, 228, 267, 294, 295, 298, 305, 326, 338, 391, 392, 399, 402, 413, 423, 479, 512, 516, 536, 545, 598, 640, 647] [42, 82, 97, 100, 113, 193, 229, 268, 295, 296, 299, 306, 327, 339, 392, 393, 400, 403, 414, 424, 480, 513, 517, 537, 546, 599, 641, 648] [43, 83, 98, 101, 114, 194, 230, 269, 296, 297, 300, 307, 328, 340, 393, 394, 401, 404, 415, 425, 481, 514, 518, 538, 547, 600, 642, 649] [0, 44, 84, 99, 102, 115, 195, 231, 270, 297, 298, 301, 308, 329, 394, 395, 402, 405, 416, 426, 482, 515, 519, 539, 548, 601, 643, 650] [1, 45, 85, 100, 103, 116, 196, 232, 271, 298, 299, 302, 309, 330, 395, 396, 403, 406, 417, 427, 483, 516, 520, 540, 549, 602, 644, 651] [2, 46, 86, 101, 104, 117, 197, 233, 272, 299, 300, 303, 310, 331, 396, 397, 404, 407, 418, 428, 484, 517, 521, 541, 550, 603, 645, 652] [3, 47, 87, 102, 105, 118, 198, 234, 273, 300, 301, 304, 311, 332, 397, 398, 405, 408, 419, 429, 485, 518, 522, 542, 551, 604, 646, 653] [4, 48, 88, 103, 106, 119, 199, 235, 274, 301, 302, 305, 312, 333, 398, 399, 406, 409, 420, 430, 486, 519, 523, 543, 552, 605, 647, 654] [5, 49, 89, 104, 107, 120, 200, 236, 275, 302, 303, 306, 313, 334, 399, 400, 407, 410, 421, 431, 487, 520, 524, 544, 553, 606, 648, 655] [6, 50, 90, 105, 108, 121, 201, 237, 276, 303, 304, 307, 314, 335, 400, 401, 408, 411, 422, 432, 488, 521, 525, 545, 554, 607, 649, 656] [7, 51, 91, 106, 109, 122, 202, 238, 277, 304, 305, 308, 315, 336, 401, 402, 409, 412, 423, 433, 489, 522, 526, 546, 555, 608, 650, 657] [8, 52, 92, 107, 110, 123, 203, 239, 278, 305, 306, 309, 316, 337, 402, 403, 410, 413, 424, 434, 490, 523, 527, 547, 556, 609, 651, 658] [9, 53, 93, 108, 111, 124, 204, 240, 279, 306, 307, 310, 317, 338, 403, 404, 411, 414, 425, 435, 491, 524, 528, 548, 557, 610, 652, 659] [10, 54, 94, 109, 112, 125, 205, 241, 280, 307, 308, 311, 318, 339, 404, 405, 412, 415, 426, 436, 492, 525, 529, 549, 558, 611, 653, 660] [11, 55, 95, 110, 113, 126, 206, 242, 281, 308, 309, 312, 319, 340, 405, 406, 413, 416, 427, 437, 493, 526, 530, 550, 559, 612, 654, 661] [0, 12, 56, 96, 111, 114, 127, 207, 243, 282, 309, 310, 313, 320, 406, 407, 414, 417, 428, 438, 494, 527, 531, 551, 560, 613, 655, 662] [1, 13, 57, 97, 112, 115, 128, 208, 244, 283, 310, 311, 314, 321, 407, 408, 415, 418, 429, 439, 495, 528, 532, 552, 561, 614, 656, 663] [2, 14, 58, 98, 113, 116, 129, 209, 245, 284, 311, 312, 315, 322, 408, 409, 416, 419, 430, 440, 496, 529, 533, 553, 562, 615, 657, 664] [3, 15, 59, 99, 114, 117, 130, 210, 246, 285, 312, 313, 316, 323, 409, 410, 417, 420, 431, 441, 497, 530, 534, 554, 563, 616, 658, 665] [4, 16, 60, 100, 115, 118, 131, 211, 247, 286, 313, 314, 317, 324, 410, 411, 418, 421, 432, 442, 498, 531, 535, 555, 564, 617, 659, 666] [5, 17, 61, 101, 116, 119, 132, 212, 248, 287, 314, 315, 318, 325, 411, 412, 419, 422, 433, 443, 499, 532, 536, 556, 565, 618, 660, 667] [6, 18, 62, 102, 117, 120, 133, 213, 249, 288, 315, 316, 319, 326, 412, 413, 420, 423, 434, 444, 500, 533, 537, 557, 566, 619, 661, 668] [7, 19, 63, 103, 118, 121, 134, 214, 250, 289, 316, 317, 320, 327, 413, 414, 421, 424, 435, 445, 501, 534, 538, 558, 567, 620, 662, 669] [8, 20, 64, 104, 119, 122, 135, 215, 251, 290, 317, 318, 321, 328, 414, 415, 422, 425, 436, 446, 502, 535, 539, 559, 568, 621, 663, 670] [9, 21, 65, 105, 120, 123, 136, 216, 252, 291, 318, 319, 322, 329, 415, 416, 423, 426, 437, 447, 503, 536, 540, 560, 569, 622, 664, 671] [10, 22, 66, 106, 121, 124, 137, 217, 253, 292, 319, 320, 323, 330, 416, 417, 424, 427, 438, 448, 504, 537, 541, 561, 570, 623, 665, 672] [11, 23, 67, 107, 122, 125, 138, 218, 254, 293, 320, 321, 324, 331, 417, 418, 425, 428, 439, 449, 505, 538, 542, 562, 571, 624, 666, 673] [12, 24, 68, 108, 123, 126, 139, 219, 255, 294, 321, 322, 325, 332, 418, 419, 426, 429, 440, 450, 506, 539, 543, 563, 572, 625, 667, 674] [13, 25, 69, 109, 124, 127, 140, 220, 256, 295, 322, 323, 326, 333, 419, 420, 427, 430, 441, 451, 507, 540, 544, 564, 573, 626, 668, 675] [14, 26, 70, 110, 125, 128, 141, 221, 257, 296, 323, 324, 327, 334, 420, 421, 428, 431, 442, 452, 508, 541, 545, 565, 574, 627, 669, 676] [15, 27, 71, 111, 126, 129, 142, 222, 258, 297, 324, 325, 328, 335, 421, 422, 429, 432, 443, 453, 509, 542, 546, 566, 575, 628, 670, 677] [16, 28, 72, 112, 127, 130, 143, 223, 259, 298, 325, 326, 329, 336, 422, 423, 430, 433, 444, 454, 510, 543, 547, 567, 576, 629, 671, 678] [17, 29, 73, 113, 128, 131, 144, 224, 260, 299, 326, 327, 330, 337, 423, 424, 431, 434, 445, 455, 511, 544, 548, 568, 577, 630, 672, 679] [18, 30, 74, 114, 129, 132, 145, 225, 261, 300, 327, 328, 331, 338, 424, 425, 432, 435, 446, 456, 512, 545, 549, 569, 578, 631, 673, 680] [19, 31, 75, 115, 130, 133, 146, 226, 262, 301, 328, 329, 332, 339, 425, 426, 433, 436, 447, 457, 513, 546, 550, 570, 579, 632, 674, 681] [20, 32, 76, 116, 131, 134, 147, 227, 263, 302, 329, 330, 333, 340, 341, 426, 427, 434, 437, 448, 458, 514, 547, 551, 571, 580, 633, 675] [0, 21, 33, 77, 117, 132, 135, 148, 228, 264, 303, 330, 331, 334, 342, 427, 428, 435, 438, 449, 459, 515, 548, 552, 572, 581, 634, 676] [1, 22, 34, 78, 118, 133, 136, 149, 229, 265, 304, 331, 332, 335, 343, 428, 429, 436, 439, 450, 460, 516, 549, 553, 573, 582, 635, 677] [2, 23, 35, 79, 119, 134, 137, 150, 230, 266, 305, 332, 333, 336, 344, 429, 430, 437, 440, 451, 461, 517, 550, 554, 574, 583, 636, 678] [3, 24, 36, 80, 120, 135, 138, 151, 231, 267, 306, 333, 334, 337, 345, 430, 431, 438, 441, 452, 462, 518, 551, 555, 575, 584, 637, 679] [4, 25, 37, 81, 121, 136, 139, 152, 232, 268, 307, 334, 335, 338, 346, 431, 432, 439, 442, 453, 463, 519, 552, 556, 576, 585, 638, 680] [5, 26, 38, 82, 122, 137, 140, 153, 233, 269, 308, 335, 336, 339, 347, 432, 433, 440, 443, 454, 464, 520, 553, 557, 577, 586, 639, 681] [6, 27, 39, 83, 123, 138, 141, 154, 234, 270, 309, 336, 337, 340, 341, 348, 433, 434, 441, 444, 455, 465, 521, 554, 558, 578, 587, 640] [0, 7, 28, 40, 84, 124, 139, 142, 155, 235, 271, 310, 337, 338, 342, 349, 434, 435, 442, 445, 456, 466, 522, 555, 559, 579, 588, 641] [1, 8, 29, 41, 85, 125, 140, 143, 156, 236, 272, 311, 338, 339, 343, 350, 435, 436, 443, 446, 457, 467, 523, 556, 560, 580, 589, 642] [2, 9, 30, 42, 86, 126, 141, 144, 157, 237, 273, 312, 339, 340, 344, 351, 436, 437, 444, 447, 458, 468, 524, 557, 561, 581, 590, 643] [0, 3, 10, 31, 43, 87, 127, 142, 145, 158, 238, 274, 313, 340, 345, 352, 437, 438, 445, 448, 459, 469, 525, 558, 562, 582, 591, 644]

H_Z (341 checks, sparse supports)

[37, 90, 99, 119, 123, 156, 212, 222, 233, 236, 243, 244, 329, 336, 341, 368, 407, 443, 523, 536, 539, 554, 594, 638, 650, 671, 678, 681] [38, 91, 100, 120, 124, 157, 213, 223, 234, 237, 244, 245, 330, 337, 341, 342, 369, 408, 444, 524, 537, 540, 555, 595, 639, 651, 672, 679] [39, 92, 101, 121, 125, 158, 214, 224, 235, 238, 245, 246, 331, 338, 342, 343, 370, 409, 445, 525, 538, 541, 556, 596, 640, 652, 673, 680] [40, 93, 102, 122, 126, 159, 215, 225, 236, 239, 246, 247, 332, 339, 343, 344, 371, 410, 446, 526, 539, 542, 557, 597, 641, 653, 674, 681] [41, 94, 103, 123, 127, 160, 216, 226, 237, 240, 247, 248, 333, 340, 341, 344, 345, 372, 411, 447, 527, 540, 543, 558, 598, 642, 654, 675] [0, 42, 95, 104, 124, 128, 161, 217, 227, 238, 241, 248, 249, 334, 342, 345, 346, 373, 412, 448, 528, 541, 544, 559, 599, 643, 655, 676] [1, 43, 96, 105, 125, 129, 162, 218, 228, 239, 242, 249, 250, 335, 343, 346, 347, 374, 413, 449, 529, 542, 545, 560, 600, 644, 656, 677] [2, 44, 97, 106, 126, 130, 163, 219, 229, 240, 243, 250, 251, 336, 344, 347, 348, 375, 414, 450, 530, 543, 546, 561, 601, 645, 657, 678] [3, 45, 98, 107, 127, 131, 164, 220, 230, 241, 244, 251, 252, 337, 345, 348, 349, 376, 415, 451, 531, 544, 547, 562, 602, 646, 658, 679] [4, 46, 99, 108, 128, 132, 165, 221, 231, 242, 245, 252, 253, 338, 346, 349, 350, 377, 416, 452, 532, 545, 548, 563, 603, 647, 659, 680] [5, 47, 100, 109, 129, 133, 166, 222, 232, 243, 246, 253, 254, 339, 347, 350, 351, 378, 417, 453, 533, 546, 549, 564, 604, 648, 660, 681] [6, 48, 101, 110, 130, 134, 167, 223, 233, 244, 247, 254, 255, 340, 341, 348, 351, 352, 379, 418, 454, 534, 547, 550, 565, 605, 649, 661] [0, 7, 49, 102, 111, 131, 135, 168, 224, 234, 245, 248, 255, 256, 342, 349, 352, 353, 380, 419, 455, 535, 548, 551, 566, 606, 650, 662] [1, 8, 50, 103, 112, 132, 136, 169, 225, 235, 246, 249, 256, 257, 343, 350, 353, 354, 381, 420, 456, 536, 549, 552, 567, 607, 651, 663] [2, 9, 51, 104, 113, 133, 137, 170, 226, 236, 247, 250, 257, 258, 344, 351, 354, 355, 382, 421, 457, 537, 550, 553, 568, 608, 652, 664] [3, 10, 52, 105, 114, 134, 138, 171, 227, 237, 248, 251, 258, 259, 345, 352, 355, 356, 383, 422, 458, 538, 551, 554, 569, 609, 653, 665] [4, 11, 53, 106, 115, 135, 139, 172, 228, 238, 249, 252, 259, 260, 346, 353, 356, 357, 384, 423, 459, 539, 552, 555, 570, 610, 654, 666] [5, 12, 54, 107, 116, 136, 140, 173, 229, 239, 250, 253, 260, 261, 347, 354, 357, 358, 385, 424, 460, 540, 553, 556, 571, 611, 655, 667] [6, 13, 55, 108, 117, 137, 141, 174, 230, 240, 251, 254, 261, 262, 348, 355, 358, 359, 386, 425, 461, 541, 554, 557, 572, 612, 656, 668] [7, 14, 56, 109, 118, 138, 142, 175, 231, 241, 252, 255, 262, 263, 349, 356, 359, 360, 387, 426, 462, 542, 555, 558, 573, 613, 657, 669] [8, 15, 57, 110, 119, 139, 143, 176, 232, 242, 253, 256, 263, 264, 350, 357, 360, 361, 388, 427, 463, 543, 556, 559, 574, 614, 658, 670] [9, 16, 58, 111, 120, 140, 144, 177, 233, 243, 254, 257, 264, 265, 351, 358, 361, 362, 389, 428, 464, 544, 557, 560, 575, 615, 659, 671] [10, 17, 59, 112, 121, 141, 145, 178, 234, 244, 255, 258, 265, 266, 352, 359, 362, 363, 390, 429, 465, 545, 558, 561, 576, 616, 660, 672] [11, 18, 60, 113, 122, 142, 146, 179, 235, 245, 256, 259, 266, 267, 353, 360, 363, 364, 391, 430, 466, 546, 559, 562, 577, 617, 661, 673] [12, 19, 61, 114, 123, 143, 147, 180, 236, 246, 257, 260, 267, 268, 354, 361, 364, 365, 392, 431, 467, 547, 560, 563, 578, 618, 662, 674] [13, 20, 62, 115, 124, 144, 148, 181, 237, 247, 258, 261, 268, 269, 355, 362, 365, 366, 393, 432, 468, 548, 561, 564, 579, 619, 663, 675] [14, 21, 63, 116, 125, 145, 149, 182, 238, 248, 259, 262, 269, 270, 356, 363, 366, 367, 394, 433, 469, 549, 562, 565, 580, 620, 664, 676] [15, 22, 64, 117, 126, 146, 150, 183, 239, 249, 260, 263, 270, 271, 357, 364, 367, 368, 395, 434, 470, 550, 563, 566, 581, 621, 665, 677] [16, 23, 65, 118, 127, 147, 151, 184, 240, 250, 261, 264, 271, 272, 358, 365, 368, 369, 396, 435, 471, 551, 564, 567, 582, 622, 666, 678] [17, 24, 66, 119, 128, 148, 152, 185, 241, 251, 262, 265, 272, 273, 359, 366, 369, 370, 397, 436, 472, 552, 565, 568, 583, 623, 667, 679] [18, 25, 67, 120, 129, 149, 153, 186, 242, 252, 263, 266, 273, 274, 360, 367, 370, 371, 398, 437, 473, 553, 566, 569, 584, 624, 668, 680] [19, 26, 68, 121, 130, 150, 154, 187, 243, 253, 264, 267, 274, 275, 361, 368, 371, 372, 399, 438, 474, 554, 567, 570, 585, 625, 669, 681] [20, 27, 69, 122, 131, 151, 155, 188, 244, 254, 265, 268, 275, 276, 341, 362, 369, 372, 373, 400, 439, 475, 555, 568, 571, 586, 626, 670] [21, 28, 70, 123, 132, 152, 156, 189, 245, 255, 266, 269, 276, 277, 342, 363, 370, 373, 374, 401, 440, 476, 556, 569, 572, 587, 627, 671] [22, 29, 71, 124, 133, 153, 157, 190, 246, 256, 267, 270, 277, 278, 343, 364, 371, 374, 375, 402, 441, 477, 557, 570, 573, 588, 628, 672] [23, 30, 72, 125, 134, 154, 158, 191, 247, 257, 268, 271, 278, 279, 344, 365, 372, 375, 376, 403, 442, 478, 558, 571, 574, 589, 629, 673] [24, 31, 73, 126, 135, 155, 159, 192, 248, 258, 269, 272, 279, 280, 345, 366, 373, 376, 377, 404, 443, 479, 559, 572, 575, 590, 630, 674] [25, 32, 74, 127, 136, 156, 160, 193, 249, 259, 270, 273, 280, 281, 346, 367, 374, 377, 378, 405, 444, 480, 560, 573, 576, 591, 631, 675] [26, 33, 75, 128, 137, 157, 161, 194, 250, 260, 271, 274, 281, 282, 347, 368, 375, 378, 379, 406, 445, 481, 561, 574, 577, 592, 632, 676] [27, 34, 76, 129, 138, 158, 162, 195, 251, 261, 272, 275, 282, 283, 348, 369, 376, 379, 380, 407, 446, 482, 562, 575, 578, 593, 633, 677] [28, 35, 77, 130, 139, 159, 163, 196, 252, 262, 273, 276, 283, 284, 349, 370, 377, 380, 381, 408, 447, 483, 563, 576, 579, 594, 634, 678] [29, 36, 78, 131, 140, 160, 164, 197, 253, 263, 274, 277, 284, 285, 350, 371, 378, 381, 382, 409, 448, 484, 564, 577, 580, 595, 635, 679] [30, 37, 79, 132, 141, 161, 165, 198, 254, 264, 275, 278, 285, 286, 351, 372, 379, 382, 383, 410, 449, 485, 565, 578, 581, 596, 636, 680] [31, 38, 80, 133, 142, 162, 166, 199, 255, 265, 276, 279, 286, 287, 352, 373, 380, 383, 384, 411, 450, 486, 566, 579, 582, 597, 637, 681] [32, 39, 81, 134, 143, 163, 167, 200, 256, 266, 277, 280, 287, 288, 341, 353, 374, 381, 384, 385, 412, 451, 487, 567, 580, 583, 598, 638] [33, 40, 82, 135, 144, 164, 168, 201, 257, 267, 278, 281, 288, 289, 342, 354, 375, 382, 385, 386, 413, 452, 488, 568, 581, 584, 599, 639] [34, 41, 83, 136, 145, 165, 169, 202, 258, 268, 279, 282, 289, 290, 343, 355, 376, 383, 386, 387, 414, 453, 489, 569, 582, 585, 600, 640] [35, 42, 84, 137, 146, 166, 170, 203, 259, 269, 280, 283, 290, 291, 344, 356, 377, 384, 387, 388, 415, 454, 490, 570, 583, 586, 601, 641] [36, 43, 85, 138, 147, 167, 171, 204, 260, 270, 281, 284, 291, 292, 345, 357, 378, 385, 388, 389, 416, 455, 491, 571, 584, 587, 602, 642] [37, 44, 86, 139, 148, 168, 172, 205, 261, 271, 282, 285, 292, 293, 346, 358, 379, 386, 389, 390, 417, 456, 492, 572, 585, 588, 603, 643] [38, 45, 87, 140, 149, 169, 173, 206, 262, 272, 283, 286, 293, 294, 347, 359, 380, 387, 390, 391, 418, 457, 493, 573, 586, 589, 604, 644] [39, 46, 88, 141, 150, 170, 174, 207, 263, 273, 284, 287, 294, 295, 348, 360, 381, 388, 391, 392, 419, 458, 494, 574, 587, 590, 605, 645] [40, 47, 89, 142, 151, 171, 175, 208, 264, 274, 285, 288, 295, 296, 349, 361, 382, 389, 392, 393, 420, 459, 495, 575, 588, 591, 606, 646] [41, 48, 90, 143, 152, 172, 176, 209, 265, 275, 286, 289, 296, 297, 350, 362, 383, 390, 393, 394, 421, 460, 496, 576, 589, 592, 607, 647] [42, 49, 91, 144, 153, 173, 177, 210, 266, 276, 287, 290, 297, 298, 351, 363, 384, 391, 394, 395, 422, 461, 497, 577, 590, 593, 608, 648] [43, 50, 92, 145, 154, 174, 178, 211, 267, 277, 288, 291, 298, 299, 352, 364, 385, 392, 395, 396, 423, 462, 498, 578, 591, 594, 609, 649] [44, 51, 93, 146, 155, 175, 179, 212, 268, 278, 289, 292, 299, 300, 353, 365, 386, 393, 396, 397, 424, 463, 499, 579, 592, 595, 610, 650] [45, 52, 94, 147, 156, 176, 180, 213, 269, 279, 290, 293, 300, 301, 354, 366, 387, 394, 397, 398, 425, 464, 500, 580, 593, 596, 611, 651] [46, 53, 95, 148, 157, 177, 181, 214, 270, 280, 291, 294, 301, 302, 355, 367, 388, 395, 398, 399, 426, 465, 501, 581, 594, 597, 612, 652] [47, 54, 96, 149, 158, 178, 182, 215, 271, 281, 292, 295, 302, 303, 356, 368, 389, 396, 399, 400, 427, 466, 502, 582, 595, 598, 613, 653] [48, 55, 97, 150, 159, 179, 183, 216, 272, 282, 293, 296, 303, 304, 357, 369, 390, 397, 400, 401, 428, 467, 503, 583, 596, 599, 614, 654] [49, 56, 98, 151, 160, 180, 184, 217, 273, 283, 294, 297, 304, 305, 358, 370, 391, 398, 401, 402, 429, 468, 504, 584, 597, 600, 615, 655] [50, 57, 99, 152, 161, 181, 185, 218, 274, 284, 295, 298, 305, 306, 359, 371, 392, 399, 402, 403, 430, 469, 505, 585, 598, 601, 616, 656] [51, 58, 100, 153, 162, 182, 186, 219, 275, 285, 296, 299, 306, 307, 360, 372, 393, 400, 403, 404, 431, 470, 506, 586, 599, 602, 617, 657] [52, 59, 101, 154, 163, 183, 187, 220, 276, 286, 297, 300, 307, 308, 361, 373, 394, 401, 404, 405, 432, 471, 507, 587, 600, 603, 618, 658] [53, 60, 102, 155, 164, 184, 188, 221, 277, 287, 298, 301, 308, 309, 362, 374, 395, 402, 405, 406, 433, 472, 508, 588, 601, 604, 619, 659] [54, 61, 103, 156, 165, 185, 189, 222, 278, 288, 299, 302, 309, 310, 363, 375, 396, 403, 406, 407, 434, 473, 509, 589, 602, 605, 620, 660] [55, 62, 104, 157, 166, 186, 190, 223, 279, 289, 300, 303, 310, 311, 364, 376, 397, 404, 407, 408, 435, 474, 510, 590, 603, 606, 621, 661] [56, 63, 105, 158, 167, 187, 191, 224, 280, 290, 301, 304, 311, 312, 365, 377, 398, 405, 408, 409, 436, 475, 511, 591, 604, 607, 622, 662] [57, 64, 106, 159, 168, 188, 192, 225, 281, 291, 302, 305, 312, 313, 366, 378, 399, 406, 409, 410, 437, 476, 512, 592, 605, 608, 623, 663] [58, 65, 107, 160, 169, 189, 193, 226, 282, 292, 303, 306, 313, 314, 367, 379, 400, 407, 410, 411, 438, 477, 513, 593, 606, 609, 624, 664] [59, 66, 108, 161, 170, 190, 194, 227, 283, 293, 304, 307, 314, 315, 368, 380, 401, 408, 411, 412, 439, 478, 514, 594, 607, 610, 625, 665] [60, 67, 109, 162, 171, 191, 195, 228, 284, 294, 305, 308, 315, 316, 369, 381, 402, 409, 412, 413, 440, 479, 515, 595, 608, 611, 626, 666] [61, 68, 110, 163, 172, 192, 196, 229, 285, 295, 306, 309, 316, 317, 370, 382, 403, 410, 413, 414, 441, 480, 516, 596, 609, 612, 627, 667] [62, 69, 111, 164, 173, 193, 197, 230, 286, 296, 307, 310, 317, 318, 371, 383, 404, 411, 414, 415, 442, 481, 517, 597, 610, 613, 628, 668] [63, 70, 112, 165, 174, 194, 198, 231, 287, 297, 308, 311, 318, 319, 372, 384, 405, 412, 415, 416, 443, 482, 518, 598, 611, 614, 629, 669] [64, 71, 113, 166, 175, 195, 199, 232, 288, 298, 309, 312, 319, 320, 373, 385, 406, 413, 416, 417, 444, 483, 519, 599, 612, 615, 630, 670] [65, 72, 114, 167, 176, 196, 200, 233, 289, 299, 310, 313, 320, 321, 374, 386, 407, 414, 417, 418, 445, 484, 520, 600, 613, 616, 631, 671] [66, 73, 115, 168, 177, 197, 201, 234, 290, 300, 311, 314, 321, 322, 375, 387, 408, 415, 418, 419, 446, 485, 521, 601, 614, 617, 632, 672] [67, 74, 116, 169, 178, 198, 202, 235, 291, 301, 312, 315, 322, 323, 376, 388, 409, 416, 419, 420, 447, 486, 522, 602, 615, 618, 633, 673] [68, 75, 117, 170, 179, 199, 203, 236, 292, 302, 313, 316, 323, 324, 377, 389, 410, 417, 420, 421, 448, 487, 523, 603, 616, 619, 634, 674] [69, 76, 118, 171, 180, 200, 204, 237, 293, 303, 314, 317, 324, 325, 378, 390, 411, 418, 421, 422, 449, 488, 524, 604, 617, 620, 635, 675] [70, 77, 119, 172, 181, 201, 205, 238, 294, 304, 315, 318, 325, 326, 379, 391, 412, 419, 422, 423, 450, 489, 525, 605, 618, 621, 636, 676] [71, 78, 120, 173, 182, 202, 206, 239, 295, 305, 316, 319, 326, 327, 380, 392, 413, 420, 423, 424, 451, 490, 526, 606, 619, 622, 637, 677] [72, 79, 121, 174, 183, 203, 207, 240, 296, 306, 317, 320, 327, 328, 381, 393, 414, 421, 424, 425, 452, 491, 527, 607, 620, 623, 638, 678] [73, 80, 122, 175, 184, 204, 208, 241, 297, 307, 318, 321, 328, 329, 382, 394, 415, 422, 425, 426, 453, 492, 528, 608, 621, 624, 639, 679] [74, 81, 123, 176, 185, 205, 209, 242, 298, 308, 319, 322, 329, 330, 383, 395, 416, 423, 426, 427, 454, 493, 529, 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217, 224, 225, 310, 317, 349, 388, 424, 504, 517, 520, 535, 575, 619, 631, 652, 659, 662, 663] [19, 72, 81, 101, 105, 138, 194, 204, 215, 218, 225, 226, 311, 318, 350, 389, 425, 505, 518, 521, 536, 576, 620, 632, 653, 660, 663, 664] [20, 73, 82, 102, 106, 139, 195, 205, 216, 219, 226, 227, 312, 319, 351, 390, 426, 506, 519, 522, 537, 577, 621, 633, 654, 661, 664, 665] [21, 74, 83, 103, 107, 140, 196, 206, 217, 220, 227, 228, 313, 320, 352, 391, 427, 507, 520, 523, 538, 578, 622, 634, 655, 662, 665, 666] [22, 75, 84, 104, 108, 141, 197, 207, 218, 221, 228, 229, 314, 321, 353, 392, 428, 508, 521, 524, 539, 579, 623, 635, 656, 663, 666, 667] [23, 76, 85, 105, 109, 142, 198, 208, 219, 222, 229, 230, 315, 322, 354, 393, 429, 509, 522, 525, 540, 580, 624, 636, 657, 664, 667, 668] [24, 77, 86, 106, 110, 143, 199, 209, 220, 223, 230, 231, 316, 323, 355, 394, 430, 510, 523, 526, 541, 581, 625, 637, 658, 665, 668, 669] [25, 78, 87, 107, 111, 144, 200, 210, 221, 224, 231, 232, 317, 324, 356, 395, 431, 511, 524, 527, 542, 582, 626, 638, 659, 666, 669, 670] [26, 79, 88, 108, 112, 145, 201, 211, 222, 225, 232, 233, 318, 325, 357, 396, 432, 512, 525, 528, 543, 583, 627, 639, 660, 667, 670, 671] [27, 80, 89, 109, 113, 146, 202, 212, 223, 226, 233, 234, 319, 326, 358, 397, 433, 513, 526, 529, 544, 584, 628, 640, 661, 668, 671, 672] [28, 81, 90, 110, 114, 147, 203, 213, 224, 227, 234, 235, 320, 327, 359, 398, 434, 514, 527, 530, 545, 585, 629, 641, 662, 669, 672, 673] [29, 82, 91, 111, 115, 148, 204, 214, 225, 228, 235, 236, 321, 328, 360, 399, 435, 515, 528, 531, 546, 586, 630, 642, 663, 670, 673, 674] [30, 83, 92, 112, 116, 149, 205, 215, 226, 229, 236, 237, 322, 329, 361, 400, 436, 516, 529, 532, 547, 587, 631, 643, 664, 671, 674, 675] [31, 84, 93, 113, 117, 150, 206, 216, 227, 230, 237, 238, 323, 330, 362, 401, 437, 517, 530, 533, 548, 588, 632, 644, 665, 672, 675, 676] [32, 85, 94, 114, 118, 151, 207, 217, 228, 231, 238, 239, 324, 331, 363, 402, 438, 518, 531, 534, 549, 589, 633, 645, 666, 673, 676, 677] [33, 86, 95, 115, 119, 152, 208, 218, 229, 232, 239, 240, 325, 332, 364, 403, 439, 519, 532, 535, 550, 590, 634, 646, 667, 674, 677, 678] [34, 87, 96, 116, 120, 153, 209, 219, 230, 233, 240, 241, 326, 333, 365, 404, 440, 520, 533, 536, 551, 591, 635, 647, 668, 675, 678, 679] [35, 88, 97, 117, 121, 154, 210, 220, 231, 234, 241, 242, 327, 334, 366, 405, 441, 521, 534, 537, 552, 592, 636, 648, 669, 676, 679, 680] [36, 89, 98, 118, 122, 155, 211, 221, 232, 235, 242, 243, 328, 335, 367, 406, 442, 522, 535, 538, 553, 593, 637, 649, 670, 677, 680, 681]

Code ID 682-172-76 · download JSON · raw on GitHub