[[682,142,79]] · QEC Challenge

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[[682,142,79]] d ≤

682

142

kd²/n

1299.446

X/Z

1.01

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Distance

X/Z asymmetry 1.01 · d_X ≤ 80, d_Z ≤ 79 · 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 80 · witness weight 80 (claimed upper_bound)

witness found by @DennisWayo · gf2_fast circulant-GB structural gate · found at 4×10⁵ trials · survived 8×10⁶ trials · 2026-09-21

witness operator (support, 80 qubits)

[1, 15, 16, 18, 22, 23, 24, 31, 33, 37, 40, 41, 42, 46, 50, 52, 54, 68, 71, 75, 77, 78, 103, 108, 114, 118, 128, 129, 133, 134, 142, 143, 145, 147, 149, 150, 160, 161, 162, 164, 171, 178, 184, 192, 193, 196, 207, 215, 217, 224, 226, 228, 242, 247, 252, 253, 254, 255, 257, 261, 264, 270, 271, 273, 274, 280, 281, 284, 285, 286, 288, 294, 302, 308, 309, 317, 319, 325, 334, 339]

d_Z 79 · witness weight 79 (claimed upper_bound)

witness found by @vprusso · verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified) · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-24

witness operator (support, 79 qubits)

[9, 12, 17, 25, 26, 28, 37, 41, 42, 65, 66, 67, 69, 72, 81, 83, 84, 96, 97, 100, 113, 114, 117, 119, 122, 123, 125, 131, 136, 138, 147, 151, 152, 162, 168, 176, 179, 181, 186, 190, 193, 195, 196, 212, 213, 215, 217, 224, 226, 227, 230, 234, 236, 237, 239, 240, 241, 244, 250, 251, 253, 255, 259, 263, 267, 285, 293, 307, 310, 357, 426, 449, 482, 506, 508, 600, 629, 642, 652]

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)×682 (2,16)×1023 (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): 682 (2,16): 1023 (2,18): 3069 (2,20): 11253 (2,22): 58311

trapping sets H_Z (1,12)×682 (2,16)×1023 (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): 682 (2,16): 1023 (2,18): 3069 (2,20): 11253 (2,22): 58311

Construction & provenance

authors @DennisWayo

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code over Z_341; a=[0, 1, 32, 45, 71, 76, 132, 176, 226, 231, 275, 286]; b=[25, 33, 44, 58, 69, 128, 168, 179, 252, 267, 281, 292]; 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 Recovered from a collapsed-candidate bank and retained by a live-board Pareto filter on (n,k,d,max check weight). A 400000-trial circulant-GB structural search found the submitted X witness; the Z witness is its independently verified GB block-swap/index-reversal image. A final local CI-style pass at d<=80 completed another 400000 structural trials, the Python RIS pass, and 8000000 RIS-fast trials without finding a logical lighter than 80. Base-board validation reports no exact or WL duplicate. The current codes/682-142-82.json entry has d<=82 and maximum check weight 32; this distinct representation trades two distance points for a reduction to check weight 24 and remains Pareto non-dominated. This is an upper-bound claim, not an exact-distance certificate.

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

[[682,142,79]]: distance revision of the board's [[682,142,80]] entry

Revision history

[[682,142,79]] supersedes the board's [[682,142,80]] entry. The code, its checks, its layout, and its original provenance are unchanged; only the distance block is corrected. A GPU random-information-set search (verify/ris_gpu.py, recover mode, 300,000,000 trials per side, pair depth 0, seed 4102) exhibits a weight-79 Z logical, so the previous witness-backed bound was overstated and the honest parameter set is [[682,142,79]]. The headline falls from kd^2/n = 1332.55 to 1299.45. Each lighter witness is carried in the entry with the budget it was found at; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

Every GPU proposal was re-validated on the CPU against the committed check matrices (in the kernel of the opposite side's checks, outside the row space of its own side) before it was recorded. The pass is the weekly fresh-seed re-measurement of the board's cell leaders (issue 2025, run of 2026-09-24); every recorded reading is the lightest CPU-verified logical at that budget.

| side | seed | claimed | GPU best weight | CPU-verified witness | trials | |---|---|---|---|---|---| | X | 4101 | 80 | 85 | 85 | 300,000,000 | | Z | 4101 | 80 | 80 | 80 | 300,000,000 | | X | 4102 | 80 | 83 | 83 | 300,000,000 | | Z | 4102 | 80 | 79 | 79 | 300,000,000 |

Original note, with the file paths updated

[[682,142,80]] - weight-24 cyclic generalized-bicycle representation

Direction & hypothesis

This search targeted the unrestricted, weight-9plus cell below the challenge's n <= 700 limit. The hypothesis was that a large bank of previously screened cyclic generalized-bicycle candidates still contained useful low-check-weight representations after their optimistic distance estimates were corrected.

The current codes/682-142-82.json entry has effective parameters [[682,142,d<=82]] and maximum check weight 32. This submission trades two distance points for a reduction to maximum check weight 24. The trusted validator finds neither an exact fingerprint duplicate nor a matching WL signature on the base board. The contribution is therefore a distinct, Pareto-nondominated representation rather than a larger scalar k*d^2/n score.

What was searched

A bank of 6,842 reconstructed cyclic-GB records was normalized and compared with the live board on (n,k,d,max check weight). Of those records, 6,794 had complete cyclic-GB dimensions and supports. The filter removed 1,110 records already dominated by the board and 4,313 dominated by another candidate, leaving 1,371 records in three frontier tuples.

Four representatives per tuple entered the final fire batch. Representatives were required to carry a recoverable 400,000-trial structural witness before packaging. All four representatives of the [[682,142,d<=80]], w=24 tuple survived the final gate. This submission was selected because its 8M pass stayed at weight 85, while the other three reached weights 84, 84, and 83. Those alternatives were retained as unsubmitted backups.

Evidence trail

The submitted X witness has weight 80. Its Z witness is the weight-preserving generalized-bicycle involution image obtained by swapping the two circulant blocks and reversing their indices. Both witnesses were independently checked for commutation and nontriviality by the trusted GF(2) verifier.

| Stage | Seed | Budget | Outcome | |---|---:|---:|---| | Source circulant-GB structural screen | 71077108993585715 | 400,000 | found submitted weight-80 X witness | | Final circulant-GB gate | 9218011 | 400,000 | no refutation; weight 80 | | Final Python RIS gate | 9218000 | 106,840, 240 s cap | no refutation; best sampled weight 94 | | Final RIS-fast gate | 9218007 | 8,000,000 | no refutation; best sampled weight 85 |

The final uninterrupted gate took about 47.7 minutes locally. The claim remains a witness-backed upper bound d <= 80, not an exact-distance certificate. Hosted CI uses a fresh seed and may still find a lighter logical.

Dead ends

The cheap scan alone was too permissive: 5,423 of the 6,794 valid records were dominated before deep testing. The four representatives in this tuple also share one WL signature and identical (n,k,d,w) values. Treating every one as an independent frontier contribution would spend CI time without adding a new board axis, so only the representative with the largest final refutation margin was promoted.

This supports a two-stage policy for future mining: Pareto-filter the complete bank first, then spend structural, Python RIS, and 8M RIS-fast budgets on a small number of representatives per tuple.

Tools

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

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 = [0,1,32,45,71,76,132,176,226,231,275,286]
B = [25,33,44,58,69,128,168,179,252,267,281,292]

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

import json
from pathlib import Path

m = 341
A = [0,1,32,45,71,76,132,176,226,231,275,286]
B = [25,33,44,58,69,128,168,179,252,267,281,292]
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/682-142-79.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/682-142-79.json

Parity checks

X-checks 341 (max weight 24) · Z-checks 341 (max weight 24)

H_X (341 checks, sparse supports)

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

H_Z (341 checks, sparse supports)

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

Code ID 682-142-79 · download JSON · raw on GitHub