[[682,140,82]] · QEC Challenge

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[[682,140,82]] d ≤

682

140

kd²/n

1380.293

X/Z

1.02

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Distance

X/Z asymmetry 1.02 · d_X ≤ 84, d_Z ≤ 82 · w_X = 30, w_Z = 30 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 84 · witness weight 84 (claimed upper_bound)

witness found by @vprusso · ris_gpu · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-21

witness operator (support, 84 qubits)

[0, 4, 16, 20, 21, 23, 24, 26, 28, 46, 49, 50, 52, 58, 61, 65, 68, 70, 81, 84, 91, 92, 106, 110, 117, 124, 125, 133, 141, 143, 144, 148, 151, 154, 159, 161, 166, 169, 175, 181, 186, 190, 191, 193, 194, 196, 200, 202, 206, 207, 209, 212, 214, 216, 220, 222, 226, 228, 229, 231, 232, 235, 236, 237, 241, 253, 259, 261, 262, 264, 268, 363, 402, 407, 452, 456, 458, 463, 495, 519, 522, 533, 576, 649]

d_Z 82 · witness weight 82 (claimed upper_bound)

witness found by @vprusso · ris_gpu · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-21

witness operator (support, 82 qubits)

[1, 4, 5, 6, 12, 15, 22, 25, 42, 43, 57, 61, 62, 64, 65, 67, 71, 73, 75, 77, 80, 91, 92, 104, 126, 128, 129, 132, 133, 134, 135, 136, 140, 141, 143, 144, 147, 149, 152, 153, 154, 161, 165, 167, 169, 171, 173, 174, 176, 177, 181, 185, 186, 192, 195, 214, 218, 219, 227, 228, 231, 233, 236, 238, 245, 261, 262, 264, 268, 269, 284, 336, 363, 406, 436, 442, 476, 491, 537, 549, 657, 667]

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 30 · H_Z 30

qubit degrees H_X 15 · H_Z 15

trapping sets H_X (1,15)×682 (2,20)×682 (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

(1,15): 682 (2,20): 682 (2,22): 1023 (2,24): 5115 (2,26): 24893 (2,28): 75702

trapping sets H_Z (1,15)×682 (2,20)×682 (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

(1,15): 682 (2,20): 682 (2,22): 1023 (2,24): 5115 (2,26): 24893 (2,28): 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 70 from x³⁴¹+1 over GF(2); divisor_poly=0x725946e001e3c38d9d; a=[0, 1, 11, 15, 22, 32, 110, 132, 139, 170, 176, 187, 264, 308, 325]; b=[42, 82, 87, 97, 116, 155, 157, 170, 178, 217, 244, 257, 267, 283, 300]; H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T].

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

date 2026-09-10

notes Cyclic-ideal generalized-bicycle candidate from a structural/full-kernel attack harness. Distance is a witness-backed upper bound, not an exact-distance claim. An earlier d<=88 draft was refuted by the challenge RIS-fast gate with a valid X logical of weight 86; this revision records that lighter witness and claims d<=86. The adjusted kd^2/n score is 1518.240.

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

[[682,140,82]]: distance revision of the board's [[682,140,86]] entry

Revision history

[[682,140,82]] supersedes the board's [[682,140,86]] entry. The code, its checks, its layout, and its original provenance are unchanged; only the distance claim is corrected. A GPU random-information-set search (verify/ris_gpu.py, recover mode, 300,000,000 trials per side, seed 2031) exhibits a weight-84 X-logical and a weight-82 Z-logical, so the previous witness-backed bound d <= 86 was overstated and the honest parameter set is [[682,140,82]]. The headline falls from kd^2/n = 1518.24 to 1380.29. Each lighter witness is carried in the entry with the budget it was found at and survived; 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 sparse check matrices (in the kernel of the opposite side's checks, outside the row space of its own side) before it was recorded.

| side | claimed | lightest logical found | trials | seed | CPU-verified | |---|---|---|---|---|---| | X | 86 | 84 | 300,000,000 | 2031 | yes | | Z | 88 | 82 | 300,000,000 | 2031 | yes |

The pass that produced this ran the same search over every verified-new entry on the board; this entry is one of the few whose declared distance did not hold.

Original note, with the file paths updated

[[682,140,86]] - cyclic-ideal generalized-bicycle code

Distance is a witness-backed upper bound (d <= 86), not an exact-distance claim.

Direction

This entry targets the unrestricted / weight-9plus board. It records a high-distance length-682 cyclic generalized-bicycle code with k = 140, maximum check weight 30, and adjusted score

140 * 86^2 / 682 = 1518.240.

The candidate is a length-682 cyclic generalized-bicycle code over Z_341 with fingerprint a76bd7f863b99c7e.

Construction

Let A and B be length-341 binary circulants over Z_341. Use first-row supports:

a = [0, 1, 11, 15, 22, 32, 110, 132, 139, 170, 176, 187, 264, 308, 325]

b = [42, 82, 87, 97, 116, 155, 157, 170, 178, 217, 244, 257, 267, 283, 300]

Build the CSS checks as H_X = [circ(a) | circ(b)] and H_Z = [circ(b)^T | circ(a)^T]. The sparse parity-check supports and both distance witnesses are recorded in codes/682-140-82.json.

The cyclic-ideal miner produced this record from a degree-70 divisor ideal of x^341 + 1 over GF(2), with divisor polynomial 0x725946e001e3c38d9d.

Evidence

This code was first staged as a d <= 88 upper-bound candidate after private structure-aware and full-kernel randomized searches found weight-88 witnesses on both sides and did not find a lighter validated logical at that depth.

The challenge refutation gate later found a valid X-side logical of weight 86. This revision records that lighter witness and downgrades the claim to d <= 86.

The submitted witnesses are:

X: weight 86, from the verify/gate_changed.py RIS-fast refutation gate,

seed 1732209933.

Z: weight 88, from verify/gf2_fast.cpp randomized witness search, seed

74361033.

Local validation:

verify/qldpc_verify.py accepts the JSON: CSS commutation, computed

k = 140, max check weight 30, and valid X/Z witnesses.

The local randomized refutation pass found no logical lighter than 86.

Follow-up

The exact distance has not been proved. This submission should be treated as a clean upper-bound entry; exact-distance certification remains separate follow-up work.

Tools

The search used the repository verifier stack, verify/gf2_fast.cpp for fast GF(2) randomized witness search, a cyclic-ideal generalized-bicycle miner, a structural/full-kernel attack harness, and verify/validate_candidate.py for the local candidate gate.

This PR was supported by OpenAI Codex (GPT-5).

Parity checks

X-checks 341 (max weight 30) · Z-checks 341 (max weight 30)

H_X (341 checks, sparse supports)

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

H_Z (341 checks, sparse supports)

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

Code ID 682-140-82 · download JSON · raw on GitHub