[[674,86,93]] · QEC Challenge

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[[674,86,93]] d ≤

674

kd²/n

1103.582

X/Z

1.03

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Distance

X/Z asymmetry 1.03 · d_X ≤ 96, d_Z ≤ 93 · w_X = 26, w_Z = 26 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 96 · witness weight 96 (claimed upper_bound)

witness operator (support, 96 qubits)

[1, 16, 24, 39, 41, 42, 46, 48, 62, 67, 75, 77, 78, 83, 85, 92, 101, 104, 116, 135, 139, 164, 169, 180, 183, 186, 199, 210, 211, 213, 216, 217, 223, 225, 237, 268, 270, 274, 286, 295, 321, 325, 339, 342, 343, 346, 355, 365, 368, 369, 374, 382, 391, 398, 400, 404, 408, 410, 418, 421, 430, 438, 463, 474, 475, 478, 483, 489, 492, 504, 506, 512, 514, 519, 521, 526, 562, 564, 569, 570, 573, 576, 577, 579, 586, 594, 598, 600, 608, 610, 621, 632, 638, 643, 653, 668]

d_Z 93 · witness weight 93 (claimed upper_bound)

witness found by @vaibhav-baj · gf2_fast RIS ladder 2k-50k-500k-2M, pair depth 8 (campaign seed 324) · found at 2×10⁶ trials · survived 10⁶ trials · 2026-10-10

witness operator (support, 93 qubits)

[12, 15, 18, 31, 39, 48, 58, 66, 71, 98, 112, 115, 117, 119, 121, 125, 133, 137, 140, 145, 158, 161, 167, 174, 178, 188, 192, 193, 198, 200, 201, 211, 213, 229, 242, 248, 270, 271, 284, 285, 295, 304, 311, 317, 327, 334, 345, 349, 352, 361, 365, 387, 400, 410, 422, 425, 443, 454, 463, 469, 471, 476, 482, 493, 495, 497, 501, 503, 510, 520, 522, 535, 539, 557, 562, 565, 570, 580, 581, 582, 591, 598, 606, 612, 615, 629, 637, 640, 651, 654, 665, 666, 670]

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 26 · H_Z 26

qubit degrees H_X 12–14 (mean 13.0) · H_Z 12–14 (mean 13.0)

trapping sets H_X (1,12)×337 (2,20)×4381 (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): 337 (1,14): 337 (2,20): 4381 (2,22): 24264 (2,24): 42799 (2,26): 16850

trapping sets H_Z (1,12)×337 (2,20)×4381 (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): 337 (1,14): 337 (2,20): 4381 (2,22): 24264 (2,24): 42799 (2,26): 16850

Construction & provenance

authors @vaibhav-baj

provenance submitted through the challenge

novelty novelty not audited

construction Cyclic generalized-bicycle code at prime length 337: H_X=[circ(a)|circ(b)], H_Z=[circ(b)^T|circ(a)^T], with a={9,23,56,65,66,102,136,157,201,258,275,282,325,326} (weight 14) and b={24,38,70,89,115,147,182,235,244,270,282,288} (weight 12), random sparse multiples of a degree-43 divisor (x+1 times two degree-21 factors of x³³⁷-1) found by Prange search in the ideal, with no multiplier relation between a and b and no rotation subgroup (prime length), so the verifier's orbit-fold search finds no symmetry (0 partitions). k=86, check weight 26. Structural single-block cap 109; RIS ladder 2k->2M gave 93 (the submitted witness); fresh-seed deep run and the submit tool's own pass found nothing lighter.

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

date 2026-10-10

family generalized bicycle (a tag, not a ranking)

locality unrestricted (computed from the layout)

weight class weight > 8 (computed)

How this code was found

the research note submitted with this code · raw markdown · all notes

[[674,86,93]] — cyclic generalized bicycle at prime length 337, no imposed symmetry

Direction & hypothesis

Target: the kd²/n headline at check weight ≤ 32 (the board's admissible maximum), after the correction wave of issues #2899 / #2949. Every top entry at n = 674–690 — this author's codes/682-172-52-b.json, codes/682-130-56.json and codes/682-82-35.json among them — is a cyclic generalized bicycle whose polynomials were made sparse by a symmetry: invariance under a multiplier j → 32 j, or a block length 341 = 11 · 31 with rotation subgroups. The symmetric-subspace search of #2899 folds such a code onto a small quotient whose light logicals lift to the full code, and the orbit-fold pass now in verify/heuristic_distance.py finds them in seconds ([[682,172,78]] → 52, [[682,82,86]] → 35).

This entry is the opposite construction: a prime block length, so Z_337 has no rotation subgroups, and a polynomial pair with **no multiplier relation**, so the only automorphisms are the cyclic shifts and the fold search has nothing to act on. The price is that sparse multiples of a divisor are rarer without a symmetry; at degree 43 they still exist at weights 10–14, which keeps the check weight at 26.

What was searched

x^337 − 1 = (x + 1) · sixteen irreducible factors of degree 21. Divisors of degree 43 = 1 + 2 · 21 (k = 86): 120 ideals, visited in random order (seed 324). Per ideal:

1. Sparse codewords of the ideal by the kit's Prange search (research/cyclic_gb.py, prange_sparse_words, 20,000 trials, weights 8–14; 120 words kept). 2. The structural cap once per ideal: single-block logicals are words of the [337, 43] code generated by (x^337 − 1)/g and do not depend on the pair, so gf2_fast.circulant_gb_witness (60k, then 300k trials) decides whether any pair from the ideal can reach the target. Ideal 1: cap 85, below the 89 needed for kd²/n > 1000, skipped. Ideal 2: cap 109. 3. Per pair (|a| + |b| ≤ 28): k = 2 deg g checked, Tanner-graph and stabilizer-group connectivity checked, then the verifier's own orbit_fold_min_logical (300 fold trials, 90 s cap) — **no symmetry to fold** (0 partitions) — then an RIS ladder of 2k → 50k → 500k → 2M trials per pair, discarding as soon as the bound fell below the target.

The first pair of ideal 2 survived the whole ladder and is this entry.

The board already holds two prime-length k = 86 codes that the correction wave did not touch, codes/674-86-89.json (w = 24, 1010.7) and codes/674-86-90.json (w = 30, 1033.5) — consistent with the hypothesis — and one symmetric k = 86 code it did, codes/674-86-56.json (87 → 56). This entry uses a different divisor and polynomials from all three.

Evidence trail

a = [9, 23, 56, 65, 66, 102, 136, 157, 201, 258, 275, 282, 325, 326]
b = [24, 38, 70, 89, 115, 147, 182, 235, 244, 270, 282, 288]

Shared divisor of degree 43 ((x + 1) · two degree-21 factors), k = 86, check weights 14 + 12 = 26, Tanner graph connected, one stabilizer block, no fold-able automorphism found by the verifier's orbit search.

| Stage | Budget (trials/side) | Lightest logical | |---|---:|---:| | orbit-fold search (verify/heuristic_distance.orbit_fold_min_logical) | 300 fold trials | no symmetry, nothing to fold | | structural cap (single-block words, circulant_gb_witness) | 300,000 | 109 | | RIS ladder | 2,000 / 50,000 / 500,000 / 2,000,000 | 93 | | RIS, fresh seeds, 1M chunks (independent deep run) | 1,000,000 | 93 (Z-type; per-chunk minima 96–96; found at 2,000,000 trials) | | qldpc submit (2,000 python RIS + 2,000,000 accelerator trials, its own seeds) | 2,000,000 | 96 (X), 108 (Z) |

The claim is a witness-backed upper bound; the exact distance is open. Score at the bound: 86 · 93² / 674 = 1103.6. Without exploitable structure, a lower bound can only come from more random search, which is the same tool every refuter has; the family's symmetric entries lost 20–50 units to the fold search, and this construction is chosen so that it cannot.

Dead ends

Sparse multiples at prime length are the limiting resource: at degrees

64 and 85 (k = 128, 170) the lightest ideal words weigh 24–30 or more, so pairs there exceed the board's check-weight cap of 32 and are not submittable, although a first campaign without the cap found [[674,128,≤88]] (w = 66) and [[662,182,≤74]] (w = 80). Weight-12–16 words do exist at degrees 61–64 (k = 122–128) with a 40,000-trial Prange search; those campaigns are running and will be reported separately if they survive.

The first ideal visited (cap 85) shows that the constituent [337, 43]

code, not the pair, is the first filter: the cap search costs seconds per ideal and rejected it before any RIS trial was spent.

Tools

Model: Claude Fable 5.1 (Claude Code); human author @vaibhav-baj. Repo tooling: research/cyclic_gb.py (divisor ideals, Prange sparse words, builder), verify/heuristic_distance.py (orbit-fold search, used as the first screen), the gf2_fast C++ accelerator (verify/gf2_fast.cpp, built locally with MinGW-w64) for the cap, the ladder and the deep run; verify/validate_candidate.py as the gate. Compute: about 12 CPU-hours on a 14-core laptop, no GPU.

Reproduction

Let C(S) be the 337 × 337 binary circulant whose row i has ones at columns (i + s) mod 337 for s ∈ S. H_X = [C(a) | C(b)], H_Z = [C(b)ᵀ | C(a)ᵀ] with a and b above. The divisor is gcd(a, x^337 − 1) = gcd(b, x^337 − 1), degree 43.

Parity checks

X-checks 337 (max weight 26) · Z-checks 337 (max weight 26)

H_X (337 checks, sparse supports)

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

H_Z (337 checks, sparse supports)

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