[[682,132,64]] · QEC Challenge

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[[682,132,64]] d ≤

682

132

kd²/n

792.774

X/Z

Share this result

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 @FarLab and @MathysRennela and @MicheldeMessieres · orbit-fold (verify/heuristic_distance.py, PR #2902) · found at 5×10⁴ trials · 2026-10-09

witness operator (support, 64 qubits)

[8, 15, 28, 29, 42, 60, 69, 73, 80, 91, 95, 106, 125, 127, 139, 158, 162, 166, 173, 184, 197, 200, 201, 214, 215, 246, 249, 256, 262, 282, 290, 294, 312, 313, 321, 323, 370, 386, 401, 410, 412, 417, 431, 435, 441, 442, 445, 472, 475, 493, 503, 504, 537, 554, 556, 567, 573, 587, 600, 604, 606, 621, 637, 678]

d_Z 64 · witness weight 64 (claimed upper_bound)

witness found by @FarLab and @MathysRennela and @MicheldeMessieres · orbit-fold (verify/heuristic_distance.py, PR #2902) · found at 5×10⁴ trials · 2026-10-09

witness operator (support, 64 qubits)

[16, 23, 24, 27, 29, 46, 55, 57, 58, 61, 79, 85, 86, 88, 99, 117, 119, 122, 130, 139, 150, 172, 182, 184, 189, 202, 213, 244, 277, 278, 282, 286, 317, 337, 352, 365, 376, 377, 383, 389, 392, 413, 420, 431, 458, 469, 488, 501, 507, 513, 524, 544, 553, 561, 569, 592, 594, 606, 625, 630, 640, 643, 668, 677]

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)×341 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)

full (size, syndrome weight): count census for H_X

(1,12): 682 (2,16): 341 (2,18): 682 (2,20): 10571 (2,22): 69564

trapping sets H_Z (1,12)×682 (2,16)×341 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)

full (size, syndrome weight): count census for H_Z

(1,12): 682 (2,16): 341 (2,18): 682 (2,20): 10571 (2,22): 69564

Construction & provenance

authors @vaibhav-baj

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code over Z_341: H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T], with a={33,55,100,131,133,143,154,164,181,220,330,336} (weight 12, invariant under j->32j mod 341: fixed points 33,55,143,154,220,330 and pair-orbits {100,131},{133,164},{181,336}) and b=a(x⁴)={4j mod 341 : j in a}={42,59,132,183,191,198,220,231,275,297,315,321}, a Frobenius image with the same zero set. Shared divisor (x+1) * one quintic * six full-order decics of x³⁴¹-1 (degree 66), so k=132; both check weights 12 (w=24). Found by sampling symmetric weight-11/12/13 words (method in the note) with exact GF(1024) zero sets, screened by the constituent-code cap and a 1k->2M RIS ladder, then 10,000,000 fresh-seed accelerated RIS trials (lightest logical: weight 87); the CI gate's 8M-trial pass then found a weight-84 X logical, recorded as the X witness.

model Claude Fable 5.1 (Claude Code) (claimed, not verified)

date 2026-10-07

notes Distance over-claim independently reported by @MathysRennela and @MicheldeMessieres on 2026-10-08 (see issue #2899); corrected to d <= 77 with a witness from the maintainers' orbit-restricted search. Tightened to d <= 64 on 2026-10-09 by @FarLab with the orbit-fold search of PR #2902 (50,000 trials per folded code) while landing correction PR #2937, whose merge had not reached main (issue #2949).

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

[[682,132,64]] — weight-24 Frobenius-paired cyclic generalized bicycle on Z_341

Direction & hypothesis

Target: the best kd²/n among codes of check weight at most 27, i.e. below the w = 28–32 band where the board's top cyclic generalized-bicycle entries sit. The leader in that range was 682-122-87 (since revised to codes/682-122-52.json) ([[682,122,87]], w = 20, kd²/n = 1354.0), itself a weight-10 word of the Z_341 Frobenius family; above it the next entries are [[682,142,79]] (w = 24, 1299.4) and [[682,182,64]] (w = 24, 1093.1). The question was whether weight-11/12/13 words (w = 22/24/26) of the same family reach the distances the w = 28 entries have (76–78) while keeping k in the 120–190 range, where any d near the constituent code's Gilbert–Varshamov bound beats 1354.

The family: a(x) over Z_341 invariant under j → 32 j (mod 341), so its Fourier values lie in GF(32) and each full-order decic of x^341 − 1 divides a with probability 2⁻⁵ instead of 2⁻¹⁰; b = a(x⁴) or a(x⁸), a Frobenius image with the same zero set, so the pair shares the whole divisor and k = 2 deg gcd(a, x^341 − 1). See notes/682-172-52-b.md for the derivation. What is new here is the check-weight band: the earlier campaigns used weight-14 and weight-16 words (w = 28, 32).

What was searched

Four samplers, each 3 threads, on weight 12 (fixed points 6/4/2), weight 13 (5/3/7) and weight 11 (5/3/7) symmetric words, ~1,000 words per batch, zero sets read off exactly in GF(1024). Kept: shared degree ≥ 61 (k ≥ 122) with at least six vanishing full-order decics. Per hit: the constituent cap (gf2_fast.circulant_gb_witness, 60k then 400k trials, single-block words of C_g); hits with cap below the d needed for their k were dropped (most: caps 16–64). Survivors of the cap entered an RIS ladder of 1k → 20k → 500k → 2M trials per partner, discarding as soon as the bound fell below the target.

About 137,000 words sampled over the four samplers (≈ 4 h wall clock each, ladders included): 22 hits with shared degree ≥ 61, six of them past the cap — k = 122 (cap 88), 122 (cap 96), 130 (92), 132 (92), 140 (84) and 160 (76, not laddered). Every laddered word survived both partners to the 2M rung: nine codes, listed below.

Evidence trail

Submitted word (weight 12; fixed points 33, 55, 143, 154, 220, 330; pair-orbits {100, 131}, {133, 164}, {181, 336}):

a = [33, 55, 100, 131, 133, 143, 154, 164, 181, 220, 330, 336]
b = [42, 59, 132, 183, 191, 198, 220, 231, 275, 297, 315, 321]   (= {4j mod 341 : j in a})

Shared divisor of degree 66 ((x + 1) · one quintic · six full-order decics), k = 132, check weights 12 + 12 = 24, Tanner graph connected, one stabilizer block.

| Stage | Budget (trials/side) | Lightest logical | |---|---:|---:| | structural cap (single-block words of C_g) | 400,000 | 92 | | RIS ladder | 1,000 / 20,000 / 500,000 / 2,000,000 | 88 | | RIS, fresh seeds, 1M chunks (independent deep run) | 10,000,000 | 87 (Z-type, found in the second chunk; nothing lighter afterwards) | | qldpc submit (2,000 python RIS + 2,000,000 accelerator trials, its own seeds) | 2,000,000 | 90 (Z), 100 (X): nothing below 87 | | CI gate verify/gate_changed.py RIS-fast, seed 840216186 (PR #2838, first push) | 8,000,000 | 84 (X-type), found between 2.9M and 3.9M trials |

The first push of this PR claimed d ≤ 87: the ladder, a 10M-trial deep run and the submit tool's pass all bottomed out at 87–90. The CI gate's own 8M-trial pass then found a weight-84 X logical, and that validated witness is now the X side of the entry (its budget and seed are in witness_provenance); the Z side keeps the deep run's weight-87 logical. So four independent searches of 2M–10M trials each returned 84, 87, 87, 90: the bound is soft at the few-unit level, and the claim is a witness-backed upper bound d ≤ 84. A deeper sweep may lower it further. Score at the bound: 132 · 84² / 682 = 1365.6. To beat 1354.0 this code needs d ≥ 84, so it sits exactly at the threshold: one more unit lost and it falls behind the leader on the headline while staying on the frontier as a new (n, k) point.

Sibling survivors of the same campaign (bounds after the 2M ladder and, where run, the deep run):

| Code | w | needs | cap | partner (a, a⁸) | deep run | |---|---:|---:|---:|---:|---| | [[682,122,≤88]], a = [0,44,60,77,136,215,220,221,252,260,266,328] | 24 | 88 | 88 | not run | submit tool's 2M pass: 90 (Z), 99 (X) | | [[682,122,≤91]], a = [37,44,61,73,78,109,121,161,234,247,290,327] | 24 | 88 | 96 | ≤ 91 | 90 after 3,000,000 (run continuing) | | [[682,130,≤88]], a = [11,66,73,99,110,154,220,223,286,290,316] | 22 | 85 | 92 | ≤ 88 | 86 after 7,000,000 (margin 1; run continuing) | | [[682,140,≤84]], a = [15,44,60,81,88,139,180,205,215,297,304] | 22 | 82 | 84 | ≤ 84 | not run |

The first k = 122 code and the k = 140 code sit exactly at their constituent cap (a weight-88 word of C_g is a logical), so neither can do better than it already does, and any lighter two-block logical drops it below the leader; both are reported, not submitted.

Dead ends

Most cap-passing structure is in the divisor, not the word: 14 of 18 hits

had constituent caps of 16–64 against targets of 74–88, the same pattern as the w = 28 campaign (notes/682-172-52-b.md: 33 of 38 hits with caps ≤ 16).

Weight-13 words (w = 26): one hit in the budget (k = 160, cap exactly 76

= target), not pursued; odd weight loses the x + 1 factor and k becomes a multiple of 10, which lands between the useful rows.

(a, a⁸) partners of the same words are not better: [[682,132,≤87]] and [[682,130,≤88]] after the same 2M ladder, i.e. the two Frobenius pairings of one word land within a unit of each other here, unlike the w = 28 campaign where (a, a²) and (a, a¹⁶) collapsed.

Tools

Model: Claude Fable 5.1 (Claude Code); human author @vaibhav-baj. Sampler and ladder: NumPy for sampling and GF(1024) zero sets, the gf2_fast C++ accelerator (verify/gf2_fast.cpp, built locally with MinGW-w64) for the cap, the ladder and the deep runs; verify/validate_candidate.py as the gate. Compute: about 50 CPU-hours (samplers and ladders ≈ 26, deep runs ≈ 21, dry runs ≈ 3) on a 14-core laptop, no GPU.

Reproduction

Let C(S) be the 341 × 341 binary circulant whose row i has ones at columns (i + s) mod 341 for s ∈ S. With a and b above, H_X = [C(a) | C(b)] and H_Z = [C(b)ᵀ | C(a)ᵀ]. Equivalently b = {4j mod 341 : j ∈ a}. Sampler: unions of f multiples of 11 and (12 − f)/2 orbits {j, 32j}, f ∈ {6, 4, 2}, seed 102 of the campaign described above.

Correction (2026-10-08)

The claimed distance above was an over-claim: an orbit-restricted search found a nontrivial X-logical of weight 77, so d <= 77. The over-claim was independently reported by @MicheldeMessieres (issue #2899); this correction applies the maintainers' own verified witness (codes/682-132-64.json, also in the issue's witness gist). The entry was renamed from slug 682-132-84; the narrative above documents the original search.

That correction (PR #2937) merged into a branch that had already been merged, so it never reached main (issue #2949). Landing it here, the orbit-fold search now in the verifier (verify/heuristic_distance.py, PR #2902; 50,000 trials per folded code, two seeds) finds lighter logicals still (X: 77 -> 64; Z: 77 -> 64), so the entry is filed at d <= 64 with those witnesses, renamed from slug 682-132-77. All values remain upper bounds.

Parity checks

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

H_X (341 checks, sparse supports)

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

H_Z (341 checks, sparse supports)

[20, 26, 44, 66, 110, 121, 143, 150, 158, 209, 282, 299, 346, 352, 462, 501, 518, 528, 539, 549, 551, 582, 627, 649] [21, 27, 45, 67, 111, 122, 144, 151, 159, 210, 283, 300, 347, 353, 463, 502, 519, 529, 540, 550, 552, 583, 628, 650] [22, 28, 46, 68, 112, 123, 145, 152, 160, 211, 284, 301, 348, 354, 464, 503, 520, 530, 541, 551, 553, 584, 629, 651] [23, 29, 47, 69, 113, 124, 146, 153, 161, 212, 285, 302, 349, 355, 465, 504, 521, 531, 542, 552, 554, 585, 630, 652] [24, 30, 48, 70, 114, 125, 147, 154, 162, 213, 286, 303, 350, 356, 466, 505, 522, 532, 543, 553, 555, 586, 631, 653] [25, 31, 49, 71, 115, 126, 148, 155, 163, 214, 287, 304, 351, 357, 467, 506, 523, 533, 544, 554, 556, 587, 632, 654] [26, 32, 50, 72, 116, 127, 149, 156, 164, 215, 288, 305, 352, 358, 468, 507, 524, 534, 545, 555, 557, 588, 633, 655] [27, 33, 51, 73, 117, 128, 150, 157, 165, 216, 289, 306, 353, 359, 469, 508, 525, 535, 546, 556, 558, 589, 634, 656] [28, 34, 52, 74, 118, 129, 151, 158, 166, 217, 290, 307, 354, 360, 470, 509, 526, 536, 547, 557, 559, 590, 635, 657] [29, 35, 53, 75, 119, 130, 152, 159, 167, 218, 291, 308, 355, 361, 471, 510, 527, 537, 548, 558, 560, 591, 636, 658] [30, 36, 54, 76, 120, 131, 153, 160, 168, 219, 292, 309, 356, 362, 472, 511, 528, 538, 549, 559, 561, 592, 637, 659] [31, 37, 55, 77, 121, 132, 154, 161, 169, 220, 293, 310, 357, 363, 473, 512, 529, 539, 550, 560, 562, 593, 638, 660] [32, 38, 56, 78, 122, 133, 155, 162, 170, 221, 294, 311, 358, 364, 474, 513, 530, 540, 551, 561, 563, 594, 639, 661] [33, 39, 57, 79, 123, 134, 156, 163, 171, 222, 295, 312, 359, 365, 475, 514, 531, 541, 552, 562, 564, 595, 640, 662] [34, 40, 58, 80, 124, 135, 157, 164, 172, 223, 296, 313, 360, 366, 476, 515, 532, 542, 553, 563, 565, 596, 641, 663] [35, 41, 59, 81, 125, 136, 158, 165, 173, 224, 297, 314, 361, 367, 477, 516, 533, 543, 554, 564, 566, 597, 642, 664] [36, 42, 60, 82, 126, 137, 159, 166, 174, 225, 298, 315, 362, 368, 478, 517, 534, 544, 555, 565, 567, 598, 643, 665] [37, 43, 61, 83, 127, 138, 160, 167, 175, 226, 299, 316, 363, 369, 479, 518, 535, 545, 556, 566, 568, 599, 644, 666] [38, 44, 62, 84, 128, 139, 161, 168, 176, 227, 300, 317, 364, 370, 480, 519, 536, 546, 557, 567, 569, 600, 645, 667] [39, 45, 63, 85, 129, 140, 162, 169, 177, 228, 301, 318, 365, 371, 481, 520, 537, 547, 558, 568, 570, 601, 646, 668] [40, 46, 64, 86, 130, 141, 163, 170, 178, 229, 302, 319, 366, 372, 482, 521, 538, 548, 559, 569, 571, 602, 647, 669] [41, 47, 65, 87, 131, 142, 164, 171, 179, 230, 303, 320, 367, 373, 483, 522, 539, 549, 560, 570, 572, 603, 648, 670] [42, 48, 66, 88, 132, 143, 165, 172, 180, 231, 304, 321, 368, 374, 484, 523, 540, 550, 561, 571, 573, 604, 649, 671] [43, 49, 67, 89, 133, 144, 166, 173, 181, 232, 305, 322, 369, 375, 485, 524, 541, 551, 562, 572, 574, 605, 650, 672] [44, 50, 68, 90, 134, 145, 167, 174, 182, 233, 306, 323, 370, 376, 486, 525, 542, 552, 563, 573, 575, 606, 651, 673] [45, 51, 69, 91, 135, 146, 168, 175, 183, 234, 307, 324, 371, 377, 487, 526, 543, 553, 564, 574, 576, 607, 652, 674] [46, 52, 70, 92, 136, 147, 169, 176, 184, 235, 308, 325, 372, 378, 488, 527, 544, 554, 565, 575, 577, 608, 653, 675] [47, 53, 71, 93, 137, 148, 170, 177, 185, 236, 309, 326, 373, 379, 489, 528, 545, 555, 566, 576, 578, 609, 654, 676] [48, 54, 72, 94, 138, 149, 171, 178, 186, 237, 310, 327, 374, 380, 490, 529, 546, 556, 567, 577, 579, 610, 655, 677] [49, 55, 73, 95, 139, 150, 172, 179, 187, 238, 311, 328, 375, 381, 491, 530, 547, 557, 568, 578, 580, 611, 656, 678] [50, 56, 74, 96, 140, 151, 173, 180, 188, 239, 312, 329, 376, 382, 492, 531, 548, 558, 569, 579, 581, 612, 657, 679] [51, 57, 75, 97, 141, 152, 174, 181, 189, 240, 313, 330, 377, 383, 493, 532, 549, 559, 570, 580, 582, 613, 658, 680] [52, 58, 76, 98, 142, 153, 175, 182, 190, 241, 314, 331, 378, 384, 494, 533, 550, 560, 571, 581, 583, 614, 659, 681] [53, 59, 77, 99, 143, 154, 176, 183, 191, 242, 315, 332, 341, 379, 385, 495, 534, 551, 561, 572, 582, 584, 615, 660] [54, 60, 78, 100, 144, 155, 177, 184, 192, 243, 316, 333, 342, 380, 386, 496, 535, 552, 562, 573, 583, 585, 616, 661] [55, 61, 79, 101, 145, 156, 178, 185, 193, 244, 317, 334, 343, 381, 387, 497, 536, 553, 563, 574, 584, 586, 617, 662] [56, 62, 80, 102, 146, 157, 179, 186, 194, 245, 318, 335, 344, 382, 388, 498, 537, 554, 564, 575, 585, 587, 618, 663] [57, 63, 81, 103, 147, 158, 180, 187, 195, 246, 319, 336, 345, 383, 389, 499, 538, 555, 565, 576, 586, 588, 619, 664] [58, 64, 82, 104, 148, 159, 181, 188, 196, 247, 320, 337, 346, 384, 390, 500, 539, 556, 566, 577, 587, 589, 620, 665] [59, 65, 83, 105, 149, 160, 182, 189, 197, 248, 321, 338, 347, 385, 391, 501, 540, 557, 567, 578, 588, 590, 621, 666] [60, 66, 84, 106, 150, 161, 183, 190, 198, 249, 322, 339, 348, 386, 392, 502, 541, 558, 568, 579, 589, 591, 622, 667] [61, 67, 85, 107, 151, 162, 184, 191, 199, 250, 323, 340, 349, 387, 393, 503, 542, 559, 569, 580, 590, 592, 623, 668] [0, 62, 68, 86, 108, 152, 163, 185, 192, 200, 251, 324, 350, 388, 394, 504, 543, 560, 570, 581, 591, 593, 624, 669] [1, 63, 69, 87, 109, 153, 164, 186, 193, 201, 252, 325, 351, 389, 395, 505, 544, 561, 571, 582, 592, 594, 625, 670] [2, 64, 70, 88, 110, 154, 165, 187, 194, 202, 253, 326, 352, 390, 396, 506, 545, 562, 572, 583, 593, 595, 626, 671] [3, 65, 71, 89, 111, 155, 166, 188, 195, 203, 254, 327, 353, 391, 397, 507, 546, 563, 573, 584, 594, 596, 627, 672] [4, 66, 72, 90, 112, 156, 167, 189, 196, 204, 255, 328, 354, 392, 398, 508, 547, 564, 574, 585, 595, 597, 628, 673] [5, 67, 73, 91, 113, 157, 168, 190, 197, 205, 256, 329, 355, 393, 399, 509, 548, 565, 575, 586, 596, 598, 629, 674] [6, 68, 74, 92, 114, 158, 169, 191, 198, 206, 257, 330, 356, 394, 400, 510, 549, 566, 576, 587, 597, 599, 630, 675] [7, 69, 75, 93, 115, 159, 170, 192, 199, 207, 258, 331, 357, 395, 401, 511, 550, 567, 577, 588, 598, 600, 631, 676] [8, 70, 76, 94, 116, 160, 171, 193, 200, 208, 259, 332, 358, 396, 402, 512, 551, 568, 578, 589, 599, 601, 632, 677] [9, 71, 77, 95, 117, 161, 172, 194, 201, 209, 260, 333, 359, 397, 403, 513, 552, 569, 579, 590, 600, 602, 633, 678] [10, 72, 78, 96, 118, 162, 173, 195, 202, 210, 261, 334, 360, 398, 404, 514, 553, 570, 580, 591, 601, 603, 634, 679] [11, 73, 79, 97, 119, 163, 174, 196, 203, 211, 262, 335, 361, 399, 405, 515, 554, 571, 581, 592, 602, 604, 635, 680] [12, 74, 80, 98, 120, 164, 175, 197, 204, 212, 263, 336, 362, 400, 406, 516, 555, 572, 582, 593, 603, 605, 636, 681] [13, 75, 81, 99, 121, 165, 176, 198, 205, 213, 264, 337, 341, 363, 401, 407, 517, 556, 573, 583, 594, 604, 606, 637] [14, 76, 82, 100, 122, 166, 177, 199, 206, 214, 265, 338, 342, 364, 402, 408, 518, 557, 574, 584, 595, 605, 607, 638] [15, 77, 83, 101, 123, 167, 178, 200, 207, 215, 266, 339, 343, 365, 403, 409, 519, 558, 575, 585, 596, 606, 608, 639] [16, 78, 84, 102, 124, 168, 179, 201, 208, 216, 267, 340, 344, 366, 404, 410, 520, 559, 576, 586, 597, 607, 609, 640] [0, 17, 79, 85, 103, 125, 169, 180, 202, 209, 217, 268, 345, 367, 405, 411, 521, 560, 577, 587, 598, 608, 610, 641] [1, 18, 80, 86, 104, 126, 170, 181, 203, 210, 218, 269, 346, 368, 406, 412, 522, 561, 578, 588, 599, 609, 611, 642] [2, 19, 81, 87, 105, 127, 171, 182, 204, 211, 219, 270, 347, 369, 407, 413, 523, 562, 579, 589, 600, 610, 612, 643] [3, 20, 82, 88, 106, 128, 172, 183, 205, 212, 220, 271, 348, 370, 408, 414, 524, 563, 580, 590, 601, 611, 613, 644] [4, 21, 83, 89, 107, 129, 173, 184, 206, 213, 221, 272, 349, 371, 409, 415, 525, 564, 581, 591, 602, 612, 614, 645] [5, 22, 84, 90, 108, 130, 174, 185, 207, 214, 222, 273, 350, 372, 410, 416, 526, 565, 582, 592, 603, 613, 615, 646] [6, 23, 85, 91, 109, 131, 175, 186, 208, 215, 223, 274, 351, 373, 411, 417, 527, 566, 583, 593, 604, 614, 616, 647] [7, 24, 86, 92, 110, 132, 176, 187, 209, 216, 224, 275, 352, 374, 412, 418, 528, 567, 584, 594, 605, 615, 617, 648] [8, 25, 87, 93, 111, 133, 177, 188, 210, 217, 225, 276, 353, 375, 413, 419, 529, 568, 585, 595, 606, 616, 618, 649] [9, 26, 88, 94, 112, 134, 178, 189, 211, 218, 226, 277, 354, 376, 414, 420, 530, 569, 586, 596, 607, 617, 619, 650] [10, 27, 89, 95, 113, 135, 179, 190, 212, 219, 227, 278, 355, 377, 415, 421, 531, 570, 587, 597, 608, 618, 620, 651] [11, 28, 90, 96, 114, 136, 180, 191, 213, 220, 228, 279, 356, 378, 416, 422, 532, 571, 588, 598, 609, 619, 621, 652] [12, 29, 91, 97, 115, 137, 181, 192, 214, 221, 229, 280, 357, 379, 417, 423, 533, 572, 589, 599, 610, 620, 622, 653] [13, 30, 92, 98, 116, 138, 182, 193, 215, 222, 230, 281, 358, 380, 418, 424, 534, 573, 590, 600, 611, 621, 623, 654] [14, 31, 93, 99, 117, 139, 183, 194, 216, 223, 231, 282, 359, 381, 419, 425, 535, 574, 591, 601, 612, 622, 624, 655] [15, 32, 94, 100, 118, 140, 184, 195, 217, 224, 232, 283, 360, 382, 420, 426, 536, 575, 592, 602, 613, 623, 625, 656] [16, 33, 95, 101, 119, 141, 185, 196, 218, 225, 233, 284, 361, 383, 421, 427, 537, 576, 593, 603, 614, 624, 626, 657] [17, 34, 96, 102, 120, 142, 186, 197, 219, 226, 234, 285, 362, 384, 422, 428, 538, 577, 594, 604, 615, 625, 627, 658] [18, 35, 97, 103, 121, 143, 187, 198, 220, 227, 235, 286, 363, 385, 423, 429, 539, 578, 595, 605, 616, 626, 628, 659] [19, 36, 98, 104, 122, 144, 188, 199, 221, 228, 236, 287, 364, 386, 424, 430, 540, 579, 596, 606, 617, 627, 629, 660] [20, 37, 99, 105, 123, 145, 189, 200, 222, 229, 237, 288, 365, 387, 425, 431, 541, 580, 597, 607, 618, 628, 630, 661] [21, 38, 100, 106, 124, 146, 190, 201, 223, 230, 238, 289, 366, 388, 426, 432, 542, 581, 598, 608, 619, 629, 631, 662] [22, 39, 101, 107, 125, 147, 191, 202, 224, 231, 239, 290, 367, 389, 427, 433, 543, 582, 599, 609, 620, 630, 632, 663] [23, 40, 102, 108, 126, 148, 192, 203, 225, 232, 240, 291, 368, 390, 428, 434, 544, 583, 600, 610, 621, 631, 633, 664] [24, 41, 103, 109, 127, 149, 193, 204, 226, 233, 241, 292, 369, 391, 429, 435, 545, 584, 601, 611, 622, 632, 634, 665] [25, 42, 104, 110, 128, 150, 194, 205, 227, 234, 242, 293, 370, 392, 430, 436, 546, 585, 602, 612, 623, 633, 635, 666] [26, 43, 105, 111, 129, 151, 195, 206, 228, 235, 243, 294, 371, 393, 431, 437, 547, 586, 603, 613, 624, 634, 636, 667] [27, 44, 106, 112, 130, 152, 196, 207, 229, 236, 244, 295, 372, 394, 432, 438, 548, 587, 604, 614, 625, 635, 637, 668] [28, 45, 107, 113, 131, 153, 197, 208, 230, 237, 245, 296, 373, 395, 433, 439, 549, 588, 605, 615, 626, 636, 638, 669] [29, 46, 108, 114, 132, 154, 198, 209, 231, 238, 246, 297, 374, 396, 434, 440, 550, 589, 606, 616, 627, 637, 639, 670] [30, 47, 109, 115, 133, 155, 199, 210, 232, 239, 247, 298, 375, 397, 435, 441, 551, 590, 607, 617, 628, 638, 640, 671] [31, 48, 110, 116, 134, 156, 200, 211, 233, 240, 248, 299, 376, 398, 436, 442, 552, 591, 608, 618, 629, 639, 641, 672] [32, 49, 111, 117, 135, 157, 201, 212, 234, 241, 249, 300, 377, 399, 437, 443, 553, 592, 609, 619, 630, 640, 642, 673] [33, 50, 112, 118, 136, 158, 202, 213, 235, 242, 250, 301, 378, 400, 438, 444, 554, 593, 610, 620, 631, 641, 643, 674] [34, 51, 113, 119, 137, 159, 203, 214, 236, 243, 251, 302, 379, 401, 439, 445, 555, 594, 611, 621, 632, 642, 644, 675] [35, 52, 114, 120, 138, 160, 204, 215, 237, 244, 252, 303, 380, 402, 440, 446, 556, 595, 612, 622, 633, 643, 645, 676] [36, 53, 115, 121, 139, 161, 205, 216, 238, 245, 253, 304, 381, 403, 441, 447, 557, 596, 613, 623, 634, 644, 646, 677] [37, 54, 116, 122, 140, 162, 206, 217, 239, 246, 254, 305, 382, 404, 442, 448, 558, 597, 614, 624, 635, 645, 647, 678] [38, 55, 117, 123, 141, 163, 207, 218, 240, 247, 255, 306, 383, 405, 443, 449, 559, 598, 615, 625, 636, 646, 648, 679] [39, 56, 118, 124, 142, 164, 208, 219, 241, 248, 256, 307, 384, 406, 444, 450, 560, 599, 616, 626, 637, 647, 649, 680] [40, 57, 119, 125, 143, 165, 209, 220, 242, 249, 257, 308, 385, 407, 445, 451, 561, 600, 617, 627, 638, 648, 650, 681] [41, 58, 120, 126, 144, 166, 210, 221, 243, 250, 258, 309, 341, 386, 408, 446, 452, 562, 601, 618, 628, 639, 649, 651] [42, 59, 121, 127, 145, 167, 211, 222, 244, 251, 259, 310, 342, 387, 409, 447, 453, 563, 602, 619, 629, 640, 650, 652] [43, 60, 122, 128, 146, 168, 212, 223, 245, 252, 260, 311, 343, 388, 410, 448, 454, 564, 603, 620, 630, 641, 651, 653] [44, 61, 123, 129, 147, 169, 213, 224, 246, 253, 261, 312, 344, 389, 411, 449, 455, 565, 604, 621, 631, 642, 652, 654] [45, 62, 124, 130, 148, 170, 214, 225, 247, 254, 262, 313, 345, 390, 412, 450, 456, 566, 605, 622, 632, 643, 653, 655] [46, 63, 125, 131, 149, 171, 215, 226, 248, 255, 263, 314, 346, 391, 413, 451, 457, 567, 606, 623, 633, 644, 654, 656] [47, 64, 126, 132, 150, 172, 216, 227, 249, 256, 264, 315, 347, 392, 414, 452, 458, 568, 607, 624, 634, 645, 655, 657] [48, 65, 127, 133, 151, 173, 217, 228, 250, 257, 265, 316, 348, 393, 415, 453, 459, 569, 608, 625, 635, 646, 656, 658] [49, 66, 128, 134, 152, 174, 218, 229, 251, 258, 266, 317, 349, 394, 416, 454, 460, 570, 609, 626, 636, 647, 657, 659] [50, 67, 129, 135, 153, 175, 219, 230, 252, 259, 267, 318, 350, 395, 417, 455, 461, 571, 610, 627, 637, 648, 658, 660] [51, 68, 130, 136, 154, 176, 220, 231, 253, 260, 268, 319, 351, 396, 418, 456, 462, 572, 611, 628, 638, 649, 659, 661] [52, 69, 131, 137, 155, 177, 221, 232, 254, 261, 269, 320, 352, 397, 419, 457, 463, 573, 612, 629, 639, 650, 660, 662] [53, 70, 132, 138, 156, 178, 222, 233, 255, 262, 270, 321, 353, 398, 420, 458, 464, 574, 613, 630, 640, 651, 661, 663] [54, 71, 133, 139, 157, 179, 223, 234, 256, 263, 271, 322, 354, 399, 421, 459, 465, 575, 614, 631, 641, 652, 662, 664] [55, 72, 134, 140, 158, 180, 224, 235, 257, 264, 272, 323, 355, 400, 422, 460, 466, 576, 615, 632, 642, 653, 663, 665] [56, 73, 135, 141, 159, 181, 225, 236, 258, 265, 273, 324, 356, 401, 423, 461, 467, 577, 616, 633, 643, 654, 664, 666] [57, 74, 136, 142, 160, 182, 226, 237, 259, 266, 274, 325, 357, 402, 424, 462, 468, 578, 617, 634, 644, 655, 665, 667] [58, 75, 137, 143, 161, 183, 227, 238, 260, 267, 275, 326, 358, 403, 425, 463, 469, 579, 618, 635, 645, 656, 666, 668] [59, 76, 138, 144, 162, 184, 228, 239, 261, 268, 276, 327, 359, 404, 426, 464, 470, 580, 619, 636, 646, 657, 667, 669] [60, 77, 139, 145, 163, 185, 229, 240, 262, 269, 277, 328, 360, 405, 427, 465, 471, 581, 620, 637, 647, 658, 668, 670] [61, 78, 140, 146, 164, 186, 230, 241, 263, 270, 278, 329, 361, 406, 428, 466, 472, 582, 621, 638, 648, 659, 669, 671] [62, 79, 141, 147, 165, 187, 231, 242, 264, 271, 279, 330, 362, 407, 429, 467, 473, 583, 622, 639, 649, 660, 670, 672] [63, 80, 142, 148, 166, 188, 232, 243, 265, 272, 280, 331, 363, 408, 430, 468, 474, 584, 623, 640, 650, 661, 671, 673] [64, 81, 143, 149, 167, 189, 233, 244, 266, 273, 281, 332, 364, 409, 431, 469, 475, 585, 624, 641, 651, 662, 672, 674] [65, 82, 144, 150, 168, 190, 234, 245, 267, 274, 282, 333, 365, 410, 432, 470, 476, 586, 625, 642, 652, 663, 673, 675] [66, 83, 145, 151, 169, 191, 235, 246, 268, 275, 283, 334, 366, 411, 433, 471, 477, 587, 626, 643, 653, 664, 674, 676] [67, 84, 146, 152, 170, 192, 236, 247, 269, 276, 284, 335, 367, 412, 434, 472, 478, 588, 627, 644, 654, 665, 675, 677] [68, 85, 147, 153, 171, 193, 237, 248, 270, 277, 285, 336, 368, 413, 435, 473, 479, 589, 628, 645, 655, 666, 676, 678] [69, 86, 148, 154, 172, 194, 238, 249, 271, 278, 286, 337, 369, 414, 436, 474, 480, 590, 629, 646, 656, 667, 677, 679] [70, 87, 149, 155, 173, 195, 239, 250, 272, 279, 287, 338, 370, 415, 437, 475, 481, 591, 630, 647, 657, 668, 678, 680] [71, 88, 150, 156, 174, 196, 240, 251, 273, 280, 288, 339, 371, 416, 438, 476, 482, 592, 631, 648, 658, 669, 679, 681] [72, 89, 151, 157, 175, 197, 241, 252, 274, 281, 289, 340, 341, 372, 417, 439, 477, 483, 593, 632, 649, 659, 670, 680] [0, 73, 90, 152, 158, 176, 198, 242, 253, 275, 282, 290, 342, 373, 418, 440, 478, 484, 594, 633, 650, 660, 671, 681] [1, 74, 91, 153, 159, 177, 199, 243, 254, 276, 283, 291, 341, 343, 374, 419, 441, 479, 485, 595, 634, 651, 661, 672] [2, 75, 92, 154, 160, 178, 200, 244, 255, 277, 284, 292, 342, 344, 375, 420, 442, 480, 486, 596, 635, 652, 662, 673] [3, 76, 93, 155, 161, 179, 201, 245, 256, 278, 285, 293, 343, 345, 376, 421, 443, 481, 487, 597, 636, 653, 663, 674] [4, 77, 94, 156, 162, 180, 202, 246, 257, 279, 286, 294, 344, 346, 377, 422, 444, 482, 488, 598, 637, 654, 664, 675] [5, 78, 95, 157, 163, 181, 203, 247, 258, 280, 287, 295, 345, 347, 378, 423, 445, 483, 489, 599, 638, 655, 665, 676] [6, 79, 96, 158, 164, 182, 204, 248, 259, 281, 288, 296, 346, 348, 379, 424, 446, 484, 490, 600, 639, 656, 666, 677] [7, 80, 97, 159, 165, 183, 205, 249, 260, 282, 289, 297, 347, 349, 380, 425, 447, 485, 491, 601, 640, 657, 667, 678] [8, 81, 98, 160, 166, 184, 206, 250, 261, 283, 290, 298, 348, 350, 381, 426, 448, 486, 492, 602, 641, 658, 668, 679] [9, 82, 99, 161, 167, 185, 207, 251, 262, 284, 291, 299, 349, 351, 382, 427, 449, 487, 493, 603, 642, 659, 669, 680] [10, 83, 100, 162, 168, 186, 208, 252, 263, 285, 292, 300, 350, 352, 383, 428, 450, 488, 494, 604, 643, 660, 670, 681] [11, 84, 101, 163, 169, 187, 209, 253, 264, 286, 293, 301, 341, 351, 353, 384, 429, 451, 489, 495, 605, 644, 661, 671] [12, 85, 102, 164, 170, 188, 210, 254, 265, 287, 294, 302, 342, 352, 354, 385, 430, 452, 490, 496, 606, 645, 662, 672] [13, 86, 103, 165, 171, 189, 211, 255, 266, 288, 295, 303, 343, 353, 355, 386, 431, 453, 491, 497, 607, 646, 663, 673] [14, 87, 104, 166, 172, 190, 212, 256, 267, 289, 296, 304, 344, 354, 356, 387, 432, 454, 492, 498, 608, 647, 664, 674] [15, 88, 105, 167, 173, 191, 213, 257, 268, 290, 297, 305, 345, 355, 357, 388, 433, 455, 493, 499, 609, 648, 665, 675] [16, 89, 106, 168, 174, 192, 214, 258, 269, 291, 298, 306, 346, 356, 358, 389, 434, 456, 494, 500, 610, 649, 666, 676] [17, 90, 107, 169, 175, 193, 215, 259, 270, 292, 299, 307, 347, 357, 359, 390, 435, 457, 495, 501, 611, 650, 667, 677] [18, 91, 108, 170, 176, 194, 216, 260, 271, 293, 300, 308, 348, 358, 360, 391, 436, 458, 496, 502, 612, 651, 668, 678] [19, 92, 109, 171, 177, 195, 217, 261, 272, 294, 301, 309, 349, 359, 361, 392, 437, 459, 497, 503, 613, 652, 669, 679] [20, 93, 110, 172, 178, 196, 218, 262, 273, 295, 302, 310, 350, 360, 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Code ID 682-132-64 · download JSON · raw on GitHub