[[674,170,64]] · QEC Challenge

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[[674,170,64]] d ≤

674

170

kd²/n

1033.116

X/Z

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Distance

X/Z asymmetry 1 · d_X ≤ 64, d_Z ≤ 64 · 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 64 · witness weight 64 (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, 64 qubits)

[1, 7, 20, 32, 41, 54, 56, 58, 70, 73, 77, 82, 86, 91, 93, 101, 105, 110, 114, 118, 127, 128, 132, 151, 154, 163, 168, 173, 177, 180, 185, 186, 190, 205, 208, 217, 221, 223, 226, 228, 238, 240, 242, 245, 246, 255, 261, 262, 264, 267, 271, 283, 285, 286, 295, 299, 301, 304, 306, 309, 311, 312, 318, 332]

d_Z 64 · witness weight 64 (claimed upper_bound)

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

witness operator (support, 64 qubits)

[342, 356, 362, 363, 365, 368, 370, 373, 375, 379, 388, 389, 391, 403, 407, 410, 412, 413, 419, 428, 429, 432, 434, 436, 446, 448, 451, 453, 457, 466, 469, 484, 488, 489, 494, 497, 501, 506, 511, 520, 523, 542, 546, 547, 556, 560, 564, 569, 573, 581, 583, 588, 592, 597, 601, 604, 616, 618, 620, 633, 642, 654, 667, 673]

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)×674 (2,14)×337 (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): 674 (2,14): 337 (2,20): 8088 (2,22): 75151

trapping sets H_Z (1,12)×674 (2,14)×337 (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): 674 (2,14): 337 (2,20): 8088 (2,22): 75151

Construction & provenance

authors @DennisWayo

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code over Z_337; a=[0, 1, 38, 90, 96, 109, 171, 237, 253, 255, 265, 296]; b=[85, 98, 124, 156, 179, 205, 226, 242, 244, 308, 318, 329]; 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<=64 completed another 400000 structural trials, the Python RIS pass, and 8000000 RIS-fast trials without finding a logical lighter than 64. Base-board validation reports no exact or WL duplicate. The current codes/674-170-76.json entry also has effective d<=64 but maximum check weight 28; this distinct representation lowers that axis to 24. 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

[[674,170,64]] — 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/674-170-76.json entry has effective parameters [[674,170,d<=64]] and maximum check weight 28. This submission preserves the same (n,k,d) while reducing maximum check weight to 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 lower-weight representation, not 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. The submitted code is the strongest completed representative of the [[674,170,d<=64]], w=24 tuple: its 8M pass stayed at weight 77, while the next two same-signature representatives reached weight 76. Those alternatives were retained as unsubmitted backups rather than promoted as frontier ties.

Evidence trail

The submitted X witness has weight 64. 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 | 135703970552456684 | 400,000 | found submitted weight-64 X witness | | Final circulant-GB gate | 9218011 | 400,000 | no refutation; weight 64 | | Final Python RIS gate | 9218000 | 105,880, 240 s cap | no refutation; best sampled weight 87 | | Final RIS-fast gate | 9218007 | 8,000,000 | no refutation; best sampled weight 77 |

The final uninterrupted gate took about 48.6 minutes locally. The claim remains a witness-backed upper bound d <= 64, 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 far 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 337 by 337 binary circulant whose row i has ones at columns (i+s) mod 337 for s in S. Use H_X = [C(A) | C(B)] and H_Z = [C(B)^T | C(A)^T], with

A = [0,1,38,90,96,109,171,237,253,255,265,296]
B = [85,98,124,156,179,205,226,242,244,308,318,329]

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

import json
from pathlib import Path

m = 337
A = [0,1,38,90,96,109,171,237,253,255,265,296]
B = [85,98,124,156,179,205,226,242,244,308,318,329]
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/674-170-64.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/674-170-64.json

Parity checks

X-checks 337 (max weight 24) · Z-checks 337 (max weight 24)

H_X (337 checks, sparse supports)

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

H_Z (337 checks, sparse supports)

[8, 19, 29, 93, 95, 111, 132, 158, 181, 213, 239, 252, 337, 378, 409, 419, 421, 437, 503, 565, 578, 584, 636, 673] [9, 20, 30, 94, 96, 112, 133, 159, 182, 214, 240, 253, 337, 338, 379, 410, 420, 422, 438, 504, 566, 579, 585, 637] [10, 21, 31, 95, 97, 113, 134, 160, 183, 215, 241, 254, 338, 339, 380, 411, 421, 423, 439, 505, 567, 580, 586, 638] [11, 22, 32, 96, 98, 114, 135, 161, 184, 216, 242, 255, 339, 340, 381, 412, 422, 424, 440, 506, 568, 581, 587, 639] [12, 23, 33, 97, 99, 115, 136, 162, 185, 217, 243, 256, 340, 341, 382, 413, 423, 425, 441, 507, 569, 582, 588, 640] [13, 24, 34, 98, 100, 116, 137, 163, 186, 218, 244, 257, 341, 342, 383, 414, 424, 426, 442, 508, 570, 583, 589, 641] [14, 25, 35, 99, 101, 117, 138, 164, 187, 219, 245, 258, 342, 343, 384, 415, 425, 427, 443, 509, 571, 584, 590, 642] [15, 26, 36, 100, 102, 118, 139, 165, 188, 220, 246, 259, 343, 344, 385, 416, 426, 428, 444, 510, 572, 585, 591, 643] [16, 27, 37, 101, 103, 119, 140, 166, 189, 221, 247, 260, 344, 345, 386, 417, 427, 429, 445, 511, 573, 586, 592, 644] [17, 28, 38, 102, 104, 120, 141, 167, 190, 222, 248, 261, 345, 346, 387, 418, 428, 430, 446, 512, 574, 587, 593, 645] [18, 29, 39, 103, 105, 121, 142, 168, 191, 223, 249, 262, 346, 347, 388, 419, 429, 431, 447, 513, 575, 588, 594, 646] [19, 30, 40, 104, 106, 122, 143, 169, 192, 224, 250, 263, 347, 348, 389, 420, 430, 432, 448, 514, 576, 589, 595, 647] [20, 31, 41, 105, 107, 123, 144, 170, 193, 225, 251, 264, 348, 349, 390, 421, 431, 433, 449, 515, 577, 590, 596, 648] [21, 32, 42, 106, 108, 124, 145, 171, 194, 226, 252, 265, 349, 350, 391, 422, 432, 434, 450, 516, 578, 591, 597, 649] [22, 33, 43, 107, 109, 125, 146, 172, 195, 227, 253, 266, 350, 351, 392, 423, 433, 435, 451, 517, 579, 592, 598, 650] [23, 34, 44, 108, 110, 126, 147, 173, 196, 228, 254, 267, 351, 352, 393, 424, 434, 436, 452, 518, 580, 593, 599, 651] [24, 35, 45, 109, 111, 127, 148, 174, 197, 229, 255, 268, 352, 353, 394, 425, 435, 437, 453, 519, 581, 594, 600, 652] [25, 36, 46, 110, 112, 128, 149, 175, 198, 230, 256, 269, 353, 354, 395, 426, 436, 438, 454, 520, 582, 595, 601, 653] [26, 37, 47, 111, 113, 129, 150, 176, 199, 231, 257, 270, 354, 355, 396, 427, 437, 439, 455, 521, 583, 596, 602, 654] [27, 38, 48, 112, 114, 130, 151, 177, 200, 232, 258, 271, 355, 356, 397, 428, 438, 440, 456, 522, 584, 597, 603, 655] [28, 39, 49, 113, 115, 131, 152, 178, 201, 233, 259, 272, 356, 357, 398, 429, 439, 441, 457, 523, 585, 598, 604, 656] [29, 40, 50, 114, 116, 132, 153, 179, 202, 234, 260, 273, 357, 358, 399, 430, 440, 442, 458, 524, 586, 599, 605, 657] [30, 41, 51, 115, 117, 133, 154, 180, 203, 235, 261, 274, 358, 359, 400, 431, 441, 443, 459, 525, 587, 600, 606, 658] [31, 42, 52, 116, 118, 134, 155, 181, 204, 236, 262, 275, 359, 360, 401, 432, 442, 444, 460, 526, 588, 601, 607, 659] [32, 43, 53, 117, 119, 135, 156, 182, 205, 237, 263, 276, 360, 361, 402, 433, 443, 445, 461, 527, 589, 602, 608, 660] [33, 44, 54, 118, 120, 136, 157, 183, 206, 238, 264, 277, 361, 362, 403, 434, 444, 446, 462, 528, 590, 603, 609, 661] [34, 45, 55, 119, 121, 137, 158, 184, 207, 239, 265, 278, 362, 363, 404, 435, 445, 447, 463, 529, 591, 604, 610, 662] [35, 46, 56, 120, 122, 138, 159, 185, 208, 240, 266, 279, 363, 364, 405, 436, 446, 448, 464, 530, 592, 605, 611, 663] [36, 47, 57, 121, 123, 139, 160, 186, 209, 241, 267, 280, 364, 365, 406, 437, 447, 449, 465, 531, 593, 606, 612, 664] [37, 48, 58, 122, 124, 140, 161, 187, 210, 242, 268, 281, 365, 366, 407, 438, 448, 450, 466, 532, 594, 607, 613, 665] [38, 49, 59, 123, 125, 141, 162, 188, 211, 243, 269, 282, 366, 367, 408, 439, 449, 451, 467, 533, 595, 608, 614, 666] [39, 50, 60, 124, 126, 142, 163, 189, 212, 244, 270, 283, 367, 368, 409, 440, 450, 452, 468, 534, 596, 609, 615, 667] [40, 51, 61, 125, 127, 143, 164, 190, 213, 245, 271, 284, 368, 369, 410, 441, 451, 453, 469, 535, 597, 610, 616, 668] [41, 52, 62, 126, 128, 144, 165, 191, 214, 246, 272, 285, 369, 370, 411, 442, 452, 454, 470, 536, 598, 611, 617, 669] [42, 53, 63, 127, 129, 145, 166, 192, 215, 247, 273, 286, 370, 371, 412, 443, 453, 455, 471, 537, 599, 612, 618, 670] [43, 54, 64, 128, 130, 146, 167, 193, 216, 248, 274, 287, 371, 372, 413, 444, 454, 456, 472, 538, 600, 613, 619, 671] [44, 55, 65, 129, 131, 147, 168, 194, 217, 249, 275, 288, 372, 373, 414, 445, 455, 457, 473, 539, 601, 614, 620, 672] [45, 56, 66, 130, 132, 148, 169, 195, 218, 250, 276, 289, 373, 374, 415, 446, 456, 458, 474, 540, 602, 615, 621, 673] [46, 57, 67, 131, 133, 149, 170, 196, 219, 251, 277, 290, 337, 374, 375, 416, 447, 457, 459, 475, 541, 603, 616, 622] [47, 58, 68, 132, 134, 150, 171, 197, 220, 252, 278, 291, 338, 375, 376, 417, 448, 458, 460, 476, 542, 604, 617, 623] [48, 59, 69, 133, 135, 151, 172, 198, 221, 253, 279, 292, 339, 376, 377, 418, 449, 459, 461, 477, 543, 605, 618, 624] [49, 60, 70, 134, 136, 152, 173, 199, 222, 254, 280, 293, 340, 377, 378, 419, 450, 460, 462, 478, 544, 606, 619, 625] [50, 61, 71, 135, 137, 153, 174, 200, 223, 255, 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Code ID 674-170-64 · download JSON · raw on GitHub