← back to the board
[[684,8,110]] d ≤
n
684
k
8
d
110
kd²/n
141.52
w
18
X/Z
1.13

Share this result

Distance

X/Z asymmetry 1.13 · d_X ≤ 110, d_Z ≤ 124 · w_X = 18, w_Z = 18 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 110 · witness weight 110 (claimed upper_bound)
witness operator (support, 110 qubits)
[8, 15, 36, 39, 40, 42, 43, 44, 46, 47, 48, 54, 67, 68, 80, 82, 83, 88, 107, 115, 122, 126, 131, 137, 139, 140, 149, 159, 168, 177, 179, 193, 195, 202, 210, 213, 217, 225, 226, 231, 234, 240, 245, 254, 257, 264, 269, 277, 278, 284, 290, 298, 305, 312, 316, 321, 324, 335, 348, 351, 362, 366, 386, 390, 392, 401, 402, 416, 421, 430, 437, 451, 475, 481, 484, 487, 500, 514, 523, 524, 525, 529, 530, 533, 540, 559, 561, 570, 572, 581, 582, 589, 593, 594, 596, 604, 608, 615, 619, 623, 625, 626, 627, 628, 636, 637, 654, 663, 669, 679]
d_Z 124 · witness weight 124 (claimed upper_bound)
witness found by @Ming-yuan-Liang · research/kit/surrogate.lightest_logical · found at 2×104 trials · survived 2×104 trials · 2026-10-28
witness operator (support, 124 qubits)
[14, 22, 24, 25, 44, 47, 52, 53, 59, 65, 70, 71, 73, 82, 94, 95, 100, 103, 116, 122, 124, 138, 143, 144, 147, 150, 153, 154, 158, 159, 166, 171, 181, 184, 191, 192, 193, 197, 200, 210, 211, 212, 215, 218, 224, 230, 235, 246, 248, 252, 259, 261, 265, 268, 271, 272, 280, 282, 286, 289, 290, 293, 295, 304, 314, 316, 318, 321, 325, 342, 345, 358, 369, 370, 375, 381, 382, 399, 420, 429, 444, 446, 450, 457, 461, 462, 479, 485, 493, 499, 500, 502, 505, 517, 518, 529, 538, 543, 545, 555, 558, 570, 581, 585, 589, 594, 596, 604, 610, 611, 616, 617, 624, 625, 632, 634, 638, 640, 643, 662, 664, 666, 670, 681]
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 18 · H_Z 18
qubit degrees H_X 9 · H_Z 9
trapping sets H_X (1,9)×684 (2,10)×173 (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
(1,9): 684 (2,10): 173 (2,12): 109 (2,14): 3798 (2,16): 43711
trapping sets H_Z (1,9)×684 (2,10)×2 (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
(1,9): 684 (2,10): 2 (2,12): 109 (2,14): 4824 (2,16): 42343

Construction & provenance

authors @Ming-yuan-Liang
provenance submitted through the challenge
novelty novelty not audited
construction Kasai affine 2BGA: a two-block group-algebra code over the affine group Aff(F_q) in its metacyclic realization Z_q x| Z_{q-1} (order q(q-1); 342 for q=19, 272 for q=17). With research/kit/group_algebra.py: mul, _ = metacyclic(q, q-1, r) where r is the smallest primitive root mod q, then HX, HZ = build_2bga(mul, a, b) for the two exponent sets a, b recorded in the reproduction section.
model GLM-5.3-Flash (claimed, not verified)
date 2026-10-28
notes Checked against the board at the gate: no exact-fingerprint or WL-signature collision (gates.dedup reports neither), so the entry is declared not equivalent to any existing entry.
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

[[684,8,110]] seed-weight-9 affine 2BGA at k=8, d<=110 frontier extension

Direction & hypothesis

Advance the unrestricted weight-9plus cell's frontier at n<=684 with generalized-bicycle codes over the affine group: Seed weight 9 was an untested neighbor of the weight-8 sweet spot; its first lane draw landed this corner, and weight-6/7/8 draws land nearby, so the corner is robust to the seed weight.

What was searched

One lane of an 11-lane unattended sweep over affine 2BGA seed vectors at n<=684 (q in {17,19}, seed weights 6-20, ~300 draws per lane). Each draw was screened by a 400-trial numpy RIS reading behind a board prepass (CSS, connectivity, exact-fingerprint and WL dedup); the lane's top band was re-read at fresh-seed 20,000-trial rungs and packaged by the kit's submit path. The lane first claimed d<=122; the four independent-seed confirmation rungs below, run for this submission, read lighter logicals, and the entry was repackaged at the lowest reading with the witness that set it. CI's independent RIS-fast refutation search (8,000,000-trial class, PR CI, seed 1858076355) then found a weight-114 X logical the local ladder had missed, and the entry was corrected to the CI reading with CI's witness carried. A second CI refutation (seed 327946092) then found a weight-110 X logical, and the entry was corrected again to that reading with the new witness carried. This candidate comes from the |a|=|b|=9 band at q=19.

Evidence trail

Confirmation ladder for the submitted code, each rung a fresh seed unless marked otherwise, reading the lightest logical found:

| budget (trials/side) | lightest logical | | ---: | ---: | | 20,000 (rerun 1) | 124 | | 20,000 (rerun 2) | 124 | | 20,000 (rerun 3) | 116 | | 20,000 (rerun 4) | 120 | | 20,000 (repackaging witness search) | 116 | | 8,000 (trusted-gate refutation, seed 1992253518) | 116 | | CI RIS-fast refutation, seed 1858076355 (8,000,000-trial class) | 114 | | 29,860 (gate_changed re-verification, seed 31051213) | 114 | | CI RIS-fast refutation, seed 327946092 (8,000,000-trial class) | 110 | | 29,860 (gate_changed re-verification, seed 31051216) | 110 |

The deepest rungs agree at the best bound: CI's independent 8,000,000-trial-class refutation search and the fresh-seed gate_changed re-verification both read 110. The submitted witness reproduces it: X: d <= 110 (upper_bound), Z: d <= 124 (upper_bound).

Dead ends

  • k=10 draws at this cell repeat one WL signature (the board's 684-10-90

    • class); the k=10 corner was abandoned as a sampler trap.

  • Unrestricted bivariate-bicycle trinomial/quadnomial pairs on 100 < n <= 240

    • are closed by five lanes (~5,600 draws, no gate pass; 93% die in prepass as direct sums); non-abelian BBGA and metacyclic 2BGA at n <= 320 closed with no gate pass.

  • A [[544,12,16]]-class draw is dominated (the gate lists 170 dominators); it

    • recurred twice independently and was recorded non-frontier, not staged for submission.

  • The lane's own deep readings did not survive independent seeds: every

    • candidate on this sweep read 1-6 units lighter under the four fresh-seed confirmation rungs, and all were repackaged at the lower reading before submission. Screen readings sit higher still.

Tools

Model: GLM-5.3-Flash. The local verdict is verify/validate_candidate.py; the bundle was assembled by research/kit/promote.py.

Reproduction

Rebuild from committed kit code, verified bit-identical to the entry's fingerprint before submission: with research/kit on sys.path, call metacyclic(q, q-1, r) from research/kit/group_algebra.py with q = 19 and r = 2 (the smallest primitive root mod 19), then build_2bga(mul, a, b) with a = [339, 273, 68, 9, 232, 51, 318, 87, 96] and b = [55, 294, 46, 230, 90, 303, 255, 4, 168]. Compare qldpc_verify.css_fingerprint of the result against the entry (research/kit/rebuild.py prints it). The ladder's distance readings come from the kit's numpy RIS surrogate, research/kit/surrogate.py::distance_rand, at 20,000 fresh-seed trials per side per rung.

Parity checks

X-checks 342 (max weight 18) · Z-checks 342 (max weight 18)
H_X (342 checks, sparse supports)
[9, 48, 57, 111, 147, 164, 166, 195, 258, 356, 368, 411, 435, 503, 594, 606, 624, 652] [10, 49, 58, 112, 148, 165, 167, 196, 259, 357, 387, 466, 505, 517, 526, 553, 617, 630] [11, 50, 59, 113, 149, 166, 168, 197, 260, 358, 365, 410, 424, 546, 575, 577, 668, 680] [12, 51, 60, 114, 150, 167, 169, 180, 261, 359, 384, 403, 432, 465, 470, 497, 651, 663] [13, 52, 61, 115, 151, 168, 170, 181, 262, 342, 421, 458, 523, 574, 597, 616, 628, 642] [14, 53, 62, 116, 152, 169, 171, 182, 263, 343, 362, 449, 494, 508, 545, 557, 567, 589] [15, 36, 63, 117, 153, 170, 172, 183, 264, 344, 381, 396, 402, 442, 482, 522, 639, 671] [16, 37, 64, 118, 154, 171, 173, 184, 265, 345, 361, 418, 451, 457, 533, 586, 609, 654] [17, 38, 65, 119, 155, 172, 174, 185, 266, 346, 372, 380, 479, 491, 520, 560, 566, 619] [0, 39, 66, 120, 156, 173, 175, 186, 267, 347, 391, 417, 435, 441, 548, 606, 636, 683] [1, 40, 67, 121, 157, 174, 176, 187, 268, 348, 405, 428, 490, 517, 526, 532, 583, 648] [2, 41, 68, 122, 158, 175, 177, 188, 269, 349, 365, 371, 460, 476, 501, 613, 635, 680] [3, 42, 69, 123, 159, 176, 178, 189, 252, 350, 384, 390, 542, 569, 582, 603, 646, 663] [4, 43, 70, 124, 160, 177, 179, 190, 253, 351, 399, 421, 427, 444, 475, 514, 593, 628] [5, 44, 71, 125, 161, 162, 178, 191, 254, 352, 454, 468, 494, 500, 535, 557, 602, 677] [6, 45, 54, 108, 144, 163, 179, 192, 255, 353, 374, 396, 513, 563, 595, 639, 645, 660] [7, 46, 55, 109, 145, 162, 164, 193, 256, 354, 393, 438, 451, 506, 586, 592, 625, 676] [8, 47, 56, 110, 146, 163, 165, 194, 257, 355, 430, 479, 485, 529, 554, 560, 659, 669] [42, 69, 112, 201, 236, 246, 255, 291, 333, 374, 386, 429, 453, 521, 612, 624, 642, 670] [43, 70, 113, 202, 237, 247, 256, 292, 334, 375, 405, 484, 523, 535, 544, 571, 635, 648] [44, 71, 114, 203, 238, 248, 257, 293, 335, 344, 356, 376, 383, 428, 442, 564, 593, 595] [45, 54, 115, 204, 239, 249, 258, 294, 336, 377, 402, 421, 450, 483, 488, 515, 669, 681] [46, 55, 116, 205, 240, 250, 259, 295, 337, 360, 439, 476, 541, 592, 615, 634, 646, 660] [47, 56, 117, 206, 241, 251, 260, 296, 338, 361, 380, 467, 512, 526, 563, 575, 585, 607] [48, 57, 118, 207, 234, 242, 261, 297, 339, 347, 362, 399, 414, 420, 460, 500, 540, 657] [49, 58, 119, 208, 235, 243, 262, 298, 340, 363, 379, 436, 469, 475, 551, 604, 627, 672] [50, 59, 120, 209, 236, 244, 263, 299, 341, 364, 390, 398, 497, 509, 538, 578, 584, 637] [51, 60, 121, 210, 237, 245, 264, 300, 324, 359, 365, 409, 435, 453, 459, 566, 624, 654] [52, 61, 122, 211, 238, 246, 265, 301, 325, 366, 423, 446, 508, 535, 544, 550, 601, 666] [53, 62, 123, 212, 239, 247, 266, 302, 326, 356, 367, 383, 389, 478, 494, 519, 631, 653] [36, 63, 124, 213, 240, 248, 267, 303, 327, 368, 402, 408, 560, 587, 600, 621, 664, 681] [37, 64, 125, 214, 241, 249, 268, 304, 328, 369, 417, 439, 445, 462, 493, 532, 611, 646] [38, 65, 108, 215, 242, 250, 269, 305, 329, 353, 370, 472, 486, 512, 518, 553, 575, 620] [39, 66, 109, 198, 243, 251, 252, 288, 330, 371, 392, 414, 531, 581, 613, 657, 663, 678] [40, 67, 110, 199, 234, 244, 253, 289, 331, 352, 372, 411, 456, 469, 524, 604, 610, 643] [41, 68, 111, 200, 235, 245, 254, 290, 332, 345, 373, 448, 497, 503, 547, 572, 578, 677] [3, 57, 58, 93, 102, 168, 285, 308, 315, 346, 392, 404, 447, 471, 539, 630, 642, 660] [4, 58, 59, 94, 103, 169, 286, 309, 316, 393, 423, 502, 541, 553, 562, 589, 653, 666] [5, 59, 60, 95, 104, 170, 287, 310, 317, 362, 374, 394, 401, 446, 460, 582, 611, 613] [6, 60, 61, 96, 105, 171, 270, 311, 318, 345, 357, 395, 420, 439, 468, 501, 506, 533] [7, 61, 62, 97, 106, 172, 271, 312, 319, 378, 457, 494, 559, 610, 633, 652, 664, 678] [8, 62, 63, 98, 107, 173, 272, 313, 320, 379, 398, 485, 530, 544, 581, 593, 603, 625] [9, 63, 64, 90, 99, 174, 273, 314, 321, 365, 380, 417, 432, 438, 478, 518, 558, 675] [10, 64, 65, 91, 100, 175, 274, 315, 322, 348, 381, 397, 454, 487, 493, 569, 622, 645] [11, 65, 66, 92, 101, 176, 275, 316, 323, 382, 408, 416, 515, 527, 556, 596, 602, 655] [12, 66, 67, 93, 102, 177, 276, 306, 317, 377, 383, 427, 453, 471, 477, 584, 642, 672] [13, 67, 68, 94, 103, 178, 277, 307, 318, 342, 384, 441, 464, 526, 553, 562, 568, 619] [14, 68, 69, 95, 104, 179, 278, 308, 319, 374, 385, 401, 407, 496, 512, 537, 649, 671] [15, 69, 70, 96, 105, 162, 279, 309, 320, 357, 386, 420, 426, 578, 605, 618, 639, 682] [16, 70, 71, 97, 106, 163, 280, 310, 321, 387, 435, 457, 463, 480, 511, 550, 629, 664] [17, 54, 71, 98, 107, 164, 281, 311, 322, 371, 388, 490, 504, 530, 536, 571, 593, 638] [0, 54, 55, 90, 99, 165, 282, 312, 323, 354, 389, 410, 432, 549, 599, 631, 675, 681] [1, 55, 56, 91, 100, 166, 283, 306, 313, 370, 390, 429, 474, 487, 542, 622, 628, 661] [2, 56, 57, 92, 101, 167, 284, 307, 314, 353, 363, 391, 466, 515, 521, 565, 590, 596] [4, 38, 147, 159, 201, 237, 294, 297, 300, 364, 410, 422, 465, 489, 557, 648, 660, 678] [5, 39, 148, 160, 202, 238, 295, 298, 301, 342, 411, 441, 520, 559, 571, 580, 607, 671] [6, 40, 149, 161, 203, 239, 296, 299, 302, 380, 392, 412, 419, 464, 478, 600, 629, 631] [7, 41, 144, 150, 204, 240, 297, 300, 303, 363, 375, 413, 438, 457, 486, 519, 524, 551] [8, 42, 145, 151, 205, 241, 298, 301, 304, 354, 396, 475, 512, 577, 628, 651, 670, 682] [9, 43, 146, 152, 206, 242, 299, 302, 305, 397, 416, 503, 548, 562, 599, 611, 621, 643] [10, 44, 147, 153, 207, 243, 288, 300, 303, 351, 383, 398, 435, 450, 456, 496, 536, 576] [11, 45, 148, 154, 208, 244, 289, 301, 304, 366, 399, 415, 472, 505, 511, 587, 640, 663] [12, 46, 149, 155, 209, 245, 290, 302, 305, 400, 426, 434, 533, 545, 574, 614, 620, 673] [13, 47, 150, 156, 210, 246, 288, 291, 303, 348, 395, 401, 445, 471, 489, 495, 602, 660] [14, 48, 151, 157, 211, 247, 289, 292, 304, 360, 402, 459, 482, 544, 571, 580, 586, 637] [15, 49, 152, 158, 212, 248, 290, 293, 305, 347, 392, 403, 419, 425, 514, 530, 555, 667] [16, 50, 153, 159, 213, 249, 288, 291, 294, 358, 375, 404, 438, 444, 596, 623, 636, 657] [17, 51, 154, 160, 214, 250, 289, 292, 295, 405, 453, 475, 481, 498, 529, 568, 647, 682] [0, 52, 155, 161, 215, 251, 290, 293, 296, 389, 406, 508, 522, 548, 554, 589, 611, 656] [1, 53, 144, 156, 198, 234, 291, 294, 297, 351, 357, 372, 407, 428, 450, 567, 617, 649] [2, 36, 145, 157, 199, 235, 292, 295, 298, 388, 408, 447, 492, 505, 560, 640, 646, 679] [3, 37, 146, 158, 200, 236, 293, 296, 299, 371, 381, 409, 484, 533, 539, 583, 608, 614] [3, 33, 39, 78, 110, 156, 279, 291, 292, 354, 382, 428, 440, 483, 507, 575, 666, 678] [4, 34, 40, 79, 111, 157, 280, 292, 293, 347, 360, 429, 459, 538, 577, 589, 598, 625] [5, 35, 41, 80, 112, 158, 281, 293, 294, 398, 410, 430, 437, 482, 496, 618, 647, 649] [6, 18, 42, 81, 113, 159, 282, 294, 295, 381, 393, 431, 456, 475, 504, 537, 542, 569] [7, 19, 43, 82, 114, 160, 283, 295, 296, 346, 358, 372, 414, 493, 530, 595, 646, 669] [8, 20, 44, 83, 115, 161, 284, 296, 297, 415, 434, 521, 566, 580, 617, 629, 639, 661] [9, 21, 45, 84, 116, 144, 285, 297, 298, 369, 401, 416, 453, 468, 474, 514, 554, 594] [10, 22, 46, 85, 117, 145, 286, 298, 299, 384, 417, 433, 490, 523, 529, 605, 658, 681] [11, 23, 47, 86, 118, 146, 287, 299, 300, 349, 418, 444, 452, 551, 563, 592, 632, 638] [12, 24, 48, 87, 119, 147, 270, 300, 301, 366, 413, 419, 463, 489, 507, 513, 620, 678] [13, 25, 49, 88, 120, 148, 271, 301, 302, 378, 420, 477, 500, 562, 589, 598, 604, 655] [14, 26, 50, 89, 121, 149, 272, 302, 303, 343, 365, 410, 421, 437, 443, 532, 548, 573] [15, 27, 51, 72, 122, 150, 273, 303, 304, 376, 393, 422, 456, 462, 614, 641, 654, 675] [16, 28, 52, 73, 123, 151, 274, 304, 305, 358, 423, 471, 493, 499, 516, 547, 586, 665] [17, 29, 53, 74, 124, 152, 275, 288, 305, 407, 424, 526, 540, 566, 572, 607, 629, 674] [0, 30, 36, 75, 125, 153, 276, 288, 289, 369, 375, 390, 425, 446, 468, 585, 635, 667] [1, 31, 37, 76, 108, 154, 277, 289, 290, 355, 406, 426, 465, 510, 523, 578, 658, 664] [2, 32, 38, 77, 109, 155, 278, 290, 291, 389, 399, 427, 502, 551, 557, 601, 626, 632] [12, 93, 147, 182, 183, 204, 238, 249, 261, 342, 354, 372, 400, 446, 458, 501, 525, 593] [13, 94, 148, 183, 184, 205, 239, 250, 262, 365, 378, 447, 477, 556, 595, 607, 616, 643] [14, 95, 149, 184, 185, 206, 240, 251, 263, 416, 428, 448, 455, 500, 514, 636, 665, 667] [15, 96, 150, 185, 186, 207, 234, 241, 264, 399, 411, 449, 474, 493, 522, 555, 560, 587] [16, 97, 151, 186, 187, 208, 235, 242, 265, 345, 364, 376, 390, 432, 511, 548, 613, 664] [17, 98, 152, 187, 188, 209, 236, 243, 266, 433, 452, 539, 584, 598, 635, 647, 657, 679] [0, 99, 153, 188, 189, 210, 237, 244, 267, 387, 419, 434, 471, 486, 492, 532, 572, 612] [1, 100, 154, 189, 190, 211, 238, 245, 268, 357, 402, 435, 451, 508, 541, 547, 623, 676] [2, 101, 155, 190, 191, 212, 239, 246, 269, 367, 436, 462, 470, 569, 581, 610, 650, 656] [3, 102, 156, 191, 192, 213, 240, 247, 252, 354, 384, 431, 437, 481, 507, 525, 531, 638] [4, 103, 157, 192, 193, 214, 241, 248, 253, 396, 438, 495, 518, 580, 607, 616, 622, 673] [5, 104, 158, 193, 194, 215, 242, 249, 254, 361, 383, 428, 439, 455, 461, 550, 566, 591] [6, 105, 159, 194, 195, 198, 243, 250, 255, 351, 394, 411, 440, 474, 480, 632, 659, 672] [7, 106, 160, 195, 196, 199, 244, 251, 256, 376, 441, 489, 511, 517, 534, 565, 604, 683] [8, 107, 161, 196, 197, 200, 234, 245, 257, 350, 425, 442, 544, 558, 584, 590, 625, 647] [9, 90, 144, 180, 197, 201, 235, 246, 258, 343, 387, 393, 408, 443, 464, 486, 603, 653] [10, 91, 145, 180, 181, 202, 236, 247, 259, 373, 424, 444, 483, 528, 541, 596, 676, 682] [11, 92, 146, 181, 182, 203, 237, 248, 260, 407, 417, 445, 520, 569, 575, 619, 644, 650] [123, 184, 210, 237, 243, 254, 291, 327, 330, 360, 372, 390, 418, 464, 476, 519, 543, 611] [124, 185, 211, 238, 244, 255, 292, 328, 331, 383, 396, 465, 495, 574, 613, 625, 634, 661] [125, 186, 212, 239, 245, 256, 293, 329, 332, 343, 434, 446, 466, 473, 518, 532, 654, 683] [108, 187, 213, 240, 246, 257, 294, 330, 333, 417, 429, 467, 492, 511, 540, 573, 578, 605] [109, 188, 214, 241, 247, 258, 295, 331, 334, 363, 382, 394, 408, 450, 529, 566, 631, 682] [110, 189, 215, 242, 248, 259, 296, 332, 335, 355, 451, 470, 557, 602, 616, 653, 665, 675] [111, 190, 198, 243, 249, 260, 297, 333, 336, 405, 437, 452, 489, 504, 510, 550, 590, 630] [112, 191, 199, 244, 250, 261, 298, 334, 337, 352, 375, 420, 453, 469, 526, 559, 565, 641] [113, 192, 200, 245, 251, 262, 299, 335, 338, 385, 454, 480, 488, 587, 599, 628, 668, 674] [114, 193, 201, 234, 246, 263, 300, 336, 339, 372, 402, 449, 455, 499, 525, 543, 549, 656] [115, 194, 202, 235, 247, 264, 301, 337, 340, 349, 414, 456, 513, 536, 598, 625, 634, 640] [116, 195, 203, 236, 248, 265, 302, 338, 341, 379, 401, 446, 457, 473, 479, 568, 584, 609] [117, 196, 204, 237, 249, 266, 303, 324, 339, 348, 369, 412, 429, 458, 492, 498, 650, 677] [118, 197, 205, 238, 250, 267, 304, 325, 340, 359, 394, 459, 507, 529, 535, 552, 583, 622] [119, 180, 206, 239, 251, 268, 305, 326, 341, 368, 443, 460, 562, 576, 602, 608, 643, 665] [120, 181, 207, 234, 240, 269, 288, 324, 327, 361, 405, 411, 426, 461, 482, 504, 621, 671] [121, 182, 208, 235, 241, 252, 289, 325, 328, 352, 358, 391, 442, 462, 501, 546, 559, 614] [122, 183, 209, 236, 242, 253, 290, 326, 329, 425, 435, 463, 538, 587, 593, 637, 662, 668] [39, 66, 93, 114, 129, 130, 225, 326, 339, 378, 390, 408, 436, 482, 494, 537, 561, 629] [40, 67, 94, 115, 130, 131, 226, 327, 340, 401, 414, 483, 513, 592, 631, 643, 652, 679] [41, 68, 95, 116, 131, 132, 227, 328, 341, 359, 361, 452, 464, 484, 491, 536, 550, 672] [42, 69, 96, 117, 132, 133, 228, 324, 329, 435, 447, 485, 510, 529, 558, 591, 596, 623] [43, 70, 97, 118, 133, 134, 229, 325, 330, 358, 381, 400, 412, 426, 468, 547, 584, 649] [44, 71, 98, 119, 134, 135, 230, 326, 331, 351, 373, 469, 488, 575, 620, 634, 671, 683] [45, 54, 99, 120, 135, 136, 231, 327, 332, 423, 455, 470, 507, 522, 528, 568, 608, 648] [46, 55, 100, 121, 136, 137, 232, 328, 333, 370, 393, 438, 471, 487, 544, 577, 583, 659] [47, 56, 101, 122, 137, 138, 233, 329, 334, 344, 350, 403, 472, 498, 506, 605, 617, 646] [48, 57, 102, 123, 138, 139, 216, 330, 335, 390, 420, 467, 473, 517, 543, 561, 567, 674] [49, 58, 103, 124, 139, 140, 217, 331, 336, 367, 432, 474, 531, 554, 616, 643, 652, 658] [50, 59, 104, 125, 140, 141, 218, 332, 337, 397, 419, 464, 475, 491, 497, 586, 602, 627] [51, 60, 105, 108, 141, 142, 219, 333, 338, 353, 366, 387, 430, 447, 476, 510, 516, 668] [52, 61, 106, 109, 142, 143, 220, 334, 339, 377, 412, 477, 525, 547, 553, 570, 601, 640] [53, 62, 107, 110, 126, 143, 221, 335, 340, 386, 461, 478, 580, 594, 620, 626, 661, 683] [36, 63, 90, 111, 126, 127, 222, 336, 341, 347, 379, 423, 429, 444, 479, 500, 522, 639] [37, 64, 91, 112, 127, 128, 223, 324, 337, 370, 376, 409, 460, 480, 519, 564, 577, 632] [38, 65, 92, 113, 128, 129, 224, 325, 338, 344, 443, 453, 481, 556, 605, 611, 655, 680] [56, 76, 183, 207, 213, 237, 240, 264, 273, 396, 408, 426, 454, 500, 512, 555, 579, 647] [57, 77, 184, 208, 214, 238, 241, 265, 274, 355, 419, 432, 501, 531, 610, 649, 661, 670] [58, 78, 185, 209, 215, 239, 242, 266, 275, 348, 377, 379, 470, 482, 502, 509, 554, 568] [59, 79, 186, 198, 210, 240, 243, 267, 276, 453, 465, 503, 528, 547, 576, 609, 614, 641] [60, 80, 187, 199, 211, 241, 244, 268, 277, 376, 399, 418, 430, 444, 486, 565, 602, 667] [61, 81, 188, 200, 212, 242, 245, 269, 278, 347, 359, 369, 391, 487, 506, 593, 638, 652] [62, 82, 189, 201, 213, 243, 246, 252, 279, 441, 473, 488, 525, 540, 546, 586, 626, 666] [63, 83, 190, 202, 214, 244, 247, 253, 280, 388, 411, 456, 489, 505, 562, 595, 601, 677] [64, 84, 191, 203, 215, 245, 248, 254, 281, 362, 368, 421, 490, 516, 524, 623, 635, 664] [65, 85, 192, 198, 204, 246, 249, 255, 282, 350, 408, 438, 485, 491, 535, 561, 579, 585] [66, 86, 193, 199, 205, 247, 250, 256, 283, 385, 450, 492, 549, 572, 634, 661, 670, 676] [67, 87, 194, 200, 206, 248, 251, 257, 284, 415, 437, 482, 493, 509, 515, 604, 620, 645] [68, 88, 195, 201, 207, 234, 249, 258, 285, 344, 371, 384, 405, 448, 465, 494, 528, 534] [69, 89, 196, 202, 208, 235, 250, 259, 286, 395, 430, 495, 543, 565, 571, 588, 619, 658] [70, 72, 197, 203, 209, 236, 251, 260, 287, 359, 404, 479, 496, 598, 612, 638, 644, 679] [71, 73, 180, 204, 210, 234, 237, 261, 270, 365, 397, 441, 447, 462, 497, 518, 540, 657] [54, 74, 181, 205, 211, 235, 238, 262, 271, 388, 394, 427, 478, 498, 537, 582, 595, 650] [55, 75, 182, 206, 212, 236, 239, 263, 272, 356, 362, 461, 471, 499, 574, 623, 629, 673] [22, 24, 39, 75, 87, 120, 128, 189, 327, 414, 426, 444, 472, 518, 530, 573, 597, 665] [23, 25, 40, 76, 88, 121, 129, 190, 328, 346, 373, 437, 450, 519, 549, 628, 667, 679] [24, 26, 41, 77, 89, 122, 130, 191, 329, 366, 395, 397, 488, 500, 520, 527, 572, 586] [25, 27, 42, 72, 78, 123, 131, 192, 330, 471, 483, 521, 546, 565, 594, 627, 632, 659] [26, 28, 43, 73, 79, 124, 132, 193, 331, 343, 394, 417, 436, 448, 462, 504, 583, 620] [27, 29, 44, 74, 80, 125, 133, 194, 332, 365, 377, 387, 409, 505, 524, 611, 656, 670] [28, 30, 45, 75, 81, 108, 134, 195, 333, 342, 459, 491, 506, 543, 558, 564, 604, 644] [29, 31, 46, 76, 82, 109, 135, 196, 334, 353, 406, 429, 474, 507, 523, 580, 613, 619] [30, 32, 47, 77, 83, 110, 136, 197, 335, 380, 386, 439, 508, 534, 542, 641, 653, 682] [31, 33, 48, 78, 84, 111, 137, 180, 336, 368, 426, 456, 503, 509, 553, 579, 597, 603] [32, 34, 49, 79, 85, 112, 138, 181, 337, 346, 352, 403, 468, 510, 567, 590, 652, 679] [33, 35, 50, 80, 86, 113, 139, 182, 338, 433, 455, 500, 511, 527, 533, 622, 638, 663] [18, 34, 51, 81, 87, 114, 140, 183, 339, 362, 389, 402, 423, 466, 483, 512, 546, 552] [19, 35, 52, 82, 88, 115, 141, 184, 340, 413, 448, 513, 561, 583, 589, 606, 637, 676] [18, 20, 53, 83, 89, 116, 142, 185, 341, 355, 377, 422, 497, 514, 616, 630, 656, 662] [19, 21, 36, 72, 84, 117, 143, 186, 324, 383, 415, 459, 465, 480, 515, 536, 558, 675] [20, 22, 37, 73, 85, 118, 126, 187, 325, 406, 412, 445, 496, 516, 555, 600, 613, 668] [21, 23, 38, 74, 86, 119, 127, 188, 326, 349, 374, 380, 479, 489, 517, 592, 641, 647] [129, 150, 171, 183, 200, 219, 303, 310, 318, 432, 444, 462, 490, 536, 548, 591, 615, 683] [130, 151, 172, 184, 201, 220, 304, 311, 319, 343, 355, 364, 391, 455, 468, 537, 567, 646] [131, 152, 173, 185, 202, 221, 305, 312, 320, 384, 413, 415, 506, 518, 538, 545, 590, 604] [132, 153, 174, 186, 203, 222, 288, 313, 321, 489, 501, 539, 564, 583, 612, 645, 650, 677] [133, 154, 175, 187, 204, 223, 289, 314, 322, 361, 412, 435, 454, 466, 480, 522, 601, 638] [134, 155, 176, 188, 205, 224, 290, 315, 323, 346, 383, 395, 405, 427, 523, 542, 629, 674] [135, 156, 177, 189, 206, 225, 291, 306, 316, 360, 477, 509, 524, 561, 576, 582, 622, 662] [136, 157, 178, 190, 207, 226, 292, 307, 317, 371, 424, 447, 492, 525, 541, 598, 631, 637] [137, 158, 179, 191, 208, 227, 293, 308, 318, 358, 398, 404, 457, 526, 552, 560, 659, 671] [138, 159, 162, 192, 209, 228, 294, 309, 319, 386, 444, 474, 521, 527, 571, 597, 615, 621] [139, 160, 163, 193, 210, 229, 295, 310, 320, 355, 364, 370, 421, 486, 528, 585, 608, 670] [140, 161, 164, 194, 211, 230, 296, 311, 321, 451, 473, 518, 529, 545, 551, 640, 656, 681] [141, 144, 165, 195, 212, 231, 297, 312, 322, 380, 407, 420, 441, 484, 501, 530, 564, 570] [142, 145, 166, 196, 213, 232, 298, 313, 323, 352, 431, 466, 531, 579, 601, 607, 624, 655] [143, 146, 167, 197, 214, 233, 299, 306, 314, 373, 395, 440, 515, 532, 634, 648, 674, 680] [126, 147, 168, 180, 215, 216, 300, 307, 315, 351, 401, 433, 477, 483, 498, 533, 554, 576] [127, 148, 169, 181, 198, 217, 301, 308, 316, 344, 424, 430, 463, 514, 534, 573, 618, 631] [128, 149, 170, 182, 199, 218, 302, 309, 317, 367, 392, 398, 497, 507, 535, 610, 659, 665] [21, 153, 174, 177, 256, 272, 273, 276, 327, 359, 450, 462, 480, 508, 554, 566, 609, 633] [22, 154, 175, 178, 257, 273, 274, 277, 328, 361, 373, 382, 409, 473, 486, 555, 585, 664] [23, 155, 176, 179, 258, 274, 275, 278, 329, 402, 431, 433, 524, 536, 556, 563, 608, 622] [24, 156, 162, 177, 259, 275, 276, 279, 330, 353, 507, 519, 557, 582, 601, 630, 663, 668] [25, 157, 163, 178, 260, 276, 277, 280, 331, 379, 430, 453, 472, 484, 498, 540, 619, 656] [26, 158, 164, 179, 261, 277, 278, 281, 332, 350, 364, 401, 413, 423, 445, 541, 560, 647] [27, 159, 162, 165, 262, 278, 279, 282, 333, 378, 495, 527, 542, 579, 594, 600, 640, 680] [28, 160, 163, 166, 263, 279, 280, 283, 334, 389, 442, 465, 510, 543, 559, 616, 649, 655] [29, 161, 164, 167, 264, 280, 281, 284, 335, 347, 376, 416, 422, 475, 544, 570, 578, 677] [30, 144, 165, 168, 265, 281, 282, 285, 336, 404, 462, 492, 539, 545, 589, 615, 633, 639] [31, 145, 166, 169, 266, 282, 283, 286, 337, 346, 373, 382, 388, 439, 504, 546, 603, 626] [32, 146, 167, 170, 267, 283, 284, 287, 338, 357, 469, 491, 536, 547, 563, 569, 658, 674] [33, 147, 168, 171, 268, 270, 284, 285, 339, 398, 425, 438, 459, 502, 519, 548, 582, 588] [34, 148, 169, 172, 269, 271, 285, 286, 340, 370, 449, 484, 549, 597, 619, 625, 642, 673] [35, 149, 170, 173, 252, 272, 286, 287, 341, 350, 356, 391, 413, 458, 533, 550, 652, 666] [18, 150, 171, 174, 253, 270, 273, 287, 324, 369, 419, 451, 495, 501, 516, 551, 572, 594] [19, 151, 172, 175, 254, 270, 271, 274, 325, 362, 442, 448, 481, 532, 552, 591, 636, 649] [20, 152, 173, 176, 255, 271, 272, 275, 326, 385, 410, 416, 515, 525, 553, 628, 677, 683] [2, 30, 51, 60, 75, 129, 135, 165, 202, 377, 468, 480, 498, 526, 572, 584, 627, 651] [3, 31, 52, 61, 76, 130, 136, 166, 203, 379, 391, 400, 427, 491, 504, 573, 603, 682] [4, 32, 53, 62, 77, 131, 137, 167, 204, 420, 449, 451, 542, 554, 574, 581, 626, 640] [5, 33, 36, 63, 78, 132, 138, 168, 205, 344, 371, 525, 537, 575, 600, 619, 648, 681] [6, 34, 37, 64, 79, 133, 139, 169, 206, 397, 448, 471, 490, 502, 516, 558, 637, 674] [7, 35, 38, 65, 80, 134, 140, 170, 207, 368, 382, 419, 431, 441, 463, 559, 578, 665] [8, 18, 39, 66, 81, 135, 141, 171, 208, 356, 396, 513, 545, 560, 597, 612, 618, 658] [9, 19, 40, 67, 82, 136, 142, 172, 209, 407, 460, 483, 528, 561, 577, 634, 667, 673] [10, 20, 41, 68, 83, 137, 143, 173, 210, 353, 365, 394, 434, 440, 493, 562, 588, 596] [11, 21, 42, 69, 84, 126, 138, 174, 211, 422, 480, 510, 557, 563, 607, 633, 651, 657] [12, 22, 43, 70, 85, 127, 139, 175, 212, 364, 391, 400, 406, 457, 522, 564, 621, 644] [13, 23, 44, 71, 86, 128, 140, 176, 213, 350, 375, 487, 509, 554, 565, 581, 587, 676] [14, 24, 45, 54, 87, 129, 141, 177, 214, 416, 443, 456, 477, 520, 537, 566, 600, 606] [15, 25, 46, 55, 88, 130, 142, 178, 215, 349, 388, 467, 502, 567, 615, 637, 643, 660] [16, 26, 47, 56, 89, 131, 143, 179, 198, 342, 368, 374, 409, 431, 476, 551, 568, 670] [17, 27, 48, 57, 72, 126, 132, 162, 199, 387, 437, 469, 513, 519, 534, 569, 590, 612] [0, 28, 49, 58, 73, 127, 133, 163, 200, 380, 460, 466, 499, 550, 570, 609, 654, 667] [1, 29, 50, 59, 74, 128, 134, 164, 201, 353, 359, 403, 428, 434, 533, 543, 571, 646] [74, 117, 148, 186, 219, 228, 267, 273, 309, 395, 486, 498, 516, 544, 590, 602, 645, 669] [75, 118, 149, 187, 220, 229, 268, 274, 310, 358, 397, 409, 418, 445, 509, 522, 591, 621] [76, 119, 150, 188, 221, 230, 269, 275, 311, 438, 467, 469, 560, 572, 592, 599, 644, 658] [77, 120, 151, 189, 222, 231, 252, 276, 312, 357, 362, 389, 543, 555, 593, 618, 637, 666] [78, 121, 152, 190, 223, 232, 253, 277, 313, 350, 415, 466, 489, 508, 520, 534, 576, 655] [79, 122, 153, 191, 224, 233, 254, 278, 314, 386, 400, 437, 449, 459, 481, 577, 596, 683] [80, 123, 154, 192, 216, 225, 255, 279, 315, 374, 414, 531, 563, 578, 615, 630, 636, 676] [81, 124, 155, 193, 217, 226, 256, 280, 316, 343, 349, 425, 478, 501, 546, 579, 595, 652] [82, 125, 156, 194, 218, 227, 257, 281, 317, 371, 383, 412, 452, 458, 511, 580, 606, 614] [83, 108, 157, 195, 219, 228, 258, 282, 318, 440, 498, 528, 575, 581, 625, 651, 669, 675] [84, 109, 158, 196, 220, 229, 259, 283, 319, 382, 409, 418, 424, 475, 540, 582, 639, 662] [85, 110, 159, 197, 221, 230, 260, 284, 320, 352, 368, 393, 505, 527, 572, 583, 599, 605] [86, 111, 160, 180, 222, 231, 261, 285, 321, 434, 461, 474, 495, 538, 555, 584, 618, 624] [87, 112, 161, 181, 223, 232, 262, 286, 322, 367, 406, 485, 520, 585, 633, 655, 661, 678] [88, 113, 144, 182, 224, 233, 263, 287, 323, 346, 360, 386, 392, 427, 449, 494, 569, 586] [89, 114, 145, 183, 216, 225, 264, 270, 306, 405, 455, 487, 531, 537, 552, 587, 608, 630] [72, 115, 146, 184, 217, 226, 265, 271, 307, 343, 398, 478, 484, 517, 568, 588, 627, 672] [73, 116, 147, 185, 218, 227, 266, 272, 308, 371, 377, 421, 446, 452, 551, 561, 589, 664] [21, 75, 84, 94, 99, 111, 141, 146, 312, 345, 413, 504, 516, 534, 562, 608, 620, 663] [22, 76, 85, 95, 100, 112, 142, 147, 313, 376, 415, 427, 436, 463, 527, 540, 609, 639] [23, 77, 86, 96, 101, 113, 143, 148, 314, 456, 485, 487, 578, 590, 610, 617, 662, 676] [24, 78, 87, 97, 102, 114, 126, 149, 315, 342, 375, 380, 407, 561, 573, 611, 636, 655] [25, 79, 88, 98, 103, 115, 127, 150, 316, 368, 433, 484, 507, 526, 538, 552, 594, 673] [26, 80, 89, 99, 104, 116, 128, 151, 317, 359, 404, 418, 455, 467, 477, 499, 595, 614] [27, 72, 81, 100, 105, 117, 129, 152, 318, 352, 392, 432, 549, 581, 596, 633, 648, 654] [28, 73, 82, 101, 106, 118, 130, 153, 319, 361, 367, 443, 496, 519, 564, 597, 613, 670] [29, 74, 83, 102, 107, 119, 131, 154, 320, 389, 401, 430, 470, 476, 529, 598, 624, 632] [30, 75, 84, 90, 103, 120, 132, 155, 321, 345, 351, 458, 516, 546, 593, 599, 643, 669] [31, 76, 85, 91, 104, 121, 133, 156, 322, 400, 427, 436, 442, 493, 558, 600, 657, 680] [32, 77, 86, 92, 105, 122, 134, 157, 323, 370, 386, 411, 523, 545, 590, 601, 617, 623] [33, 78, 87, 93, 106, 123, 135, 158, 306, 452, 479, 492, 513, 556, 573, 602, 636, 642] [34, 79, 88, 94, 107, 124, 136, 159, 307, 354, 385, 424, 503, 538, 603, 651, 673, 679] [35, 80, 89, 90, 95, 125, 137, 160, 308, 364, 378, 404, 410, 445, 467, 512, 587, 604] [18, 72, 81, 91, 96, 108, 138, 161, 309, 423, 473, 505, 549, 555, 570, 605, 626, 648] [19, 73, 82, 92, 97, 109, 139, 144, 310, 348, 361, 416, 496, 502, 535, 586, 606, 645] [20, 74, 83, 93, 98, 110, 140, 145, 311, 389, 395, 439, 464, 470, 569, 579, 607, 682] [15, 40, 81, 96, 165, 218, 219, 255, 282, 363, 431, 522, 534, 552, 580, 626, 638, 681] [16, 41, 82, 97, 166, 219, 220, 256, 283, 394, 433, 445, 454, 481, 545, 558, 627, 657] [17, 42, 83, 98, 167, 220, 221, 257, 284, 352, 474, 503, 505, 596, 608, 628, 635, 680] [0, 43, 84, 99, 168, 221, 222, 258, 285, 360, 393, 398, 425, 579, 591, 629, 654, 673] [1, 44, 85, 100, 169, 222, 223, 259, 286, 349, 386, 451, 502, 525, 544, 556, 570, 612] [2, 45, 86, 101, 170, 223, 224, 260, 287, 377, 422, 436, 473, 485, 495, 517, 613, 632] [3, 46, 87, 102, 171, 224, 225, 261, 270, 370, 410, 450, 567, 599, 614, 651, 666, 672] [4, 47, 88, 103, 172, 225, 226, 262, 271, 346, 379, 385, 461, 514, 537, 582, 615, 631] [5, 48, 89, 104, 173, 226, 227, 263, 272, 407, 419, 448, 488, 494, 547, 616, 642, 650] [6, 49, 72, 105, 174, 227, 228, 264, 273, 345, 363, 369, 476, 534, 564, 611, 617, 661] [7, 50, 73, 106, 175, 228, 229, 265, 274, 356, 418, 445, 454, 460, 511, 576, 618, 675] [8, 51, 74, 107, 176, 229, 230, 266, 275, 388, 404, 429, 541, 563, 608, 619, 635, 641] [9, 52, 75, 90, 177, 230, 231, 267, 276, 470, 497, 510, 531, 574, 591, 620, 654, 660] [10, 53, 76, 91, 178, 231, 232, 268, 277, 349, 355, 372, 403, 442, 521, 556, 621, 669] [11, 36, 77, 92, 179, 232, 233, 269, 278, 382, 396, 422, 428, 463, 485, 530, 605, 622] [12, 37, 78, 93, 162, 216, 233, 252, 279, 441, 491, 523, 567, 573, 588, 623, 644, 666] [13, 38, 79, 94, 163, 216, 217, 253, 280, 366, 379, 434, 514, 520, 553, 604, 624, 663] [14, 39, 80, 95, 164, 217, 218, 254, 281, 358, 407, 413, 457, 482, 488, 587, 597, 625] [21, 57, 63, 138, 222, 231, 290, 309, 328, 357, 381, 449, 540, 552, 570, 598, 644, 656] [22, 58, 64, 139, 223, 232, 291, 310, 329, 412, 451, 463, 472, 499, 563, 576, 645, 675] [23, 59, 65, 140, 224, 233, 292, 311, 330, 356, 370, 492, 521, 523, 614, 626, 646, 653] [24, 60, 66, 141, 216, 225, 293, 312, 331, 349, 378, 411, 416, 443, 597, 609, 647, 672] [25, 61, 67, 142, 217, 226, 294, 313, 332, 367, 404, 469, 520, 543, 562, 574, 588, 630] [26, 62, 68, 143, 218, 227, 295, 314, 333, 395, 440, 454, 491, 503, 513, 535, 631, 650] [27, 63, 69, 126, 219, 228, 296, 315, 334, 342, 348, 388, 428, 468, 585, 617, 632, 669] [28, 64, 70, 127, 220, 229, 297, 316, 335, 364, 397, 403, 479, 532, 555, 600, 633, 649] [29, 65, 71, 128, 221, 230, 298, 317, 336, 425, 437, 466, 506, 512, 565, 634, 660, 668] [30, 54, 66, 129, 222, 231, 299, 318, 337, 363, 381, 387, 494, 552, 582, 629, 635, 679] [31, 55, 67, 130, 223, 232, 300, 319, 338, 351, 374, 436, 463, 472, 478, 529, 594, 636] [32, 56, 68, 131, 224, 233, 301, 320, 339, 406, 422, 447, 559, 581, 626, 637, 653, 659] [33, 57, 69, 132, 216, 225, 302, 321, 340, 488, 515, 528, 549, 592, 609, 638, 672, 678] [34, 58, 70, 133, 217, 226, 303, 322, 341, 345, 367, 373, 390, 421, 460, 539, 574, 639] [35, 59, 71, 134, 218, 227, 304, 323, 324, 400, 414, 440, 446, 481, 503, 548, 623, 640] [18, 54, 60, 135, 219, 228, 305, 306, 325, 342, 459, 509, 541, 585, 591, 606, 641, 662] [19, 55, 61, 136, 220, 229, 288, 307, 326, 384, 397, 452, 532, 538, 571, 622, 642, 681] [20, 56, 62, 137, 221, 230, 289, 308, 327, 376, 425, 431, 475, 500, 506, 605, 615, 643] [6, 20, 45, 105, 111, 165, 201, 274, 336, 375, 399, 467, 558, 570, 588, 616, 662, 674] [7, 21, 46, 106, 112, 166, 202, 275, 337, 351, 430, 469, 481, 490, 517, 581, 594, 663] [8, 22, 47, 107, 113, 167, 203, 276, 338, 374, 388, 510, 539, 541, 632, 644, 664, 671] [9, 23, 48, 90, 114, 168, 204, 277, 339, 348, 367, 396, 429, 434, 461, 615, 627, 665] [10, 24, 49, 91, 115, 169, 205, 278, 340, 385, 422, 487, 538, 561, 580, 592, 606, 648] [11, 25, 50, 92, 116, 170, 206, 279, 341, 413, 458, 472, 509, 521, 531, 553, 649, 668] [12, 26, 51, 93, 117, 171, 207, 280, 324, 345, 360, 366, 406, 446, 486, 603, 635, 650] [13, 27, 52, 94, 118, 172, 208, 281, 325, 382, 415, 421, 497, 550, 573, 618, 651, 667] [14, 28, 53, 95, 119, 173, 209, 282, 326, 344, 443, 455, 484, 524, 530, 583, 652, 678] [15, 29, 36, 96, 120, 174, 210, 283, 327, 355, 381, 399, 405, 512, 570, 600, 647, 653] [16, 30, 37, 97, 121, 175, 211, 284, 328, 369, 392, 454, 481, 490, 496, 547, 612, 654] [17, 31, 38, 98, 122, 176, 212, 285, 329, 424, 440, 465, 577, 599, 644, 655, 671, 677] [0, 32, 39, 99, 123, 177, 213, 286, 330, 348, 354, 506, 533, 546, 567, 610, 627, 656] [1, 33, 40, 100, 124, 178, 214, 287, 331, 363, 385, 391, 408, 439, 478, 557, 592, 657] [2, 34, 41, 101, 125, 179, 215, 270, 332, 418, 432, 458, 464, 499, 521, 566, 641, 658] [3, 35, 42, 102, 108, 162, 198, 271, 333, 360, 477, 527, 559, 603, 609, 624, 659, 680] [4, 18, 43, 103, 109, 163, 199, 272, 334, 357, 402, 415, 470, 550, 556, 589, 640, 660] [5, 19, 44, 104, 110, 164, 200, 273, 335, 394, 443, 449, 493, 518, 524, 623, 633, 661] [3, 27, 92, 132, 192, 220, 255, 309, 321, 350, 393, 417, 485, 576, 588, 606, 634, 680] [4, 28, 93, 133, 193, 221, 256, 310, 322, 369, 448, 487, 499, 508, 535, 599, 612, 681] [5, 29, 94, 134, 194, 222, 257, 311, 323, 347, 392, 406, 528, 557, 559, 650, 662, 682] [6, 30, 95, 135, 195, 223, 258, 306, 312, 366, 385, 414, 447, 452, 479, 633, 645, 683] [7, 31, 96, 136, 196, 224, 259, 307, 313, 403, 440, 505, 556, 579, 598, 610, 624, 666] [8, 32, 97, 137, 197, 225, 260, 308, 314, 344, 431, 476, 490, 527, 539, 549, 571, 667] [9, 33, 98, 138, 180, 226, 261, 309, 315, 363, 378, 384, 424, 464, 504, 621, 653, 668] [10, 34, 99, 139, 181, 227, 262, 310, 316, 343, 400, 433, 439, 515, 568, 591, 636, 669] [11, 35, 100, 140, 182, 228, 263, 311, 317, 354, 362, 461, 473, 502, 542, 548, 601, 670] [12, 18, 101, 141, 183, 229, 264, 312, 318, 373, 399, 417, 423, 530, 588, 618, 665, 671] [13, 19, 102, 142, 184, 230, 265, 313, 319, 387, 410, 472, 499, 508, 514, 565, 630, 672] [14, 20, 103, 143, 185, 231, 266, 314, 320, 347, 353, 442, 458, 483, 595, 617, 662, 673] [15, 21, 104, 126, 186, 232, 267, 315, 321, 366, 372, 524, 551, 564, 585, 628, 645, 674] [16, 22, 105, 127, 187, 233, 268, 316, 322, 381, 403, 409, 426, 457, 496, 575, 610, 675] [17, 23, 106, 128, 188, 216, 269, 317, 323, 436, 450, 476, 482, 517, 539, 584, 659, 676] [0, 24, 107, 129, 189, 217, 252, 306, 318, 356, 378, 495, 545, 577, 621, 627, 642, 677] [1, 25, 90, 130, 190, 218, 253, 307, 319, 375, 420, 433, 488, 568, 574, 607, 658, 678] [2, 26, 91, 131, 191, 219, 254, 308, 320, 412, 461, 467, 511, 536, 542, 641, 651, 679]
H_Z (342 checks, sparse supports)
[4, 46, 55, 90, 168, 230, 255, 294, 303, 351, 393, 410, 429, 438, 574, 615, 660, 681] [5, 83, 105, 110, 166, 181, 241, 250, 331, 352, 394, 411, 430, 439, 575, 616, 661, 682] [6, 20, 134, 143, 156, 196, 219, 314, 329, 353, 395, 412, 431, 440, 558, 617, 662, 683] [7, 35, 39, 94, 252, 261, 279, 301, 312, 354, 378, 413, 414, 441, 559, 618, 663, 666] [8, 36, 76, 163, 172, 185, 208, 248, 277, 355, 379, 396, 415, 442, 560, 619, 664, 667] [9, 24, 65, 73, 141, 149, 206, 326, 335, 356, 380, 397, 416, 443, 561, 620, 665, 668] [10, 43, 63, 120, 146, 268, 294, 309, 318, 357, 381, 398, 417, 444, 562, 621, 648, 669] [11, 80, 118, 179, 229, 241, 274, 283, 291, 358, 382, 399, 418, 445, 563, 622, 649, 670] [12, 104, 134, 153, 203, 212, 227, 238, 324, 359, 383, 400, 419, 446, 564, 623, 650, 671] [13, 60, 69, 102, 131, 195, 261, 298, 307, 342, 384, 401, 420, 447, 565, 624, 651, 672] [14, 34, 115, 124, 172, 193, 245, 258, 272, 343, 385, 402, 421, 448, 566, 625, 652, 673] [15, 32, 53, 138, 169, 201, 224, 233, 335, 344, 386, 403, 422, 449, 567, 626, 653, 674] [16, 51, 58, 72, 90, 99, 265, 318, 332, 345, 387, 404, 423, 432, 568, 627, 654, 675] [17, 88, 113, 145, 176, 181, 190, 283, 315, 346, 388, 405, 424, 433, 569, 628, 655, 676] [0, 20, 29, 161, 212, 222, 280, 290, 339, 347, 389, 406, 425, 434, 570, 629, 656, 677] [1, 39, 48, 69, 97, 209, 237, 288, 322, 348, 390, 407, 426, 435, 571, 612, 657, 678] [2, 66, 76, 85, 124, 130, 188, 235, 287, 349, 391, 408, 427, 436, 572, 613, 658, 679] [3, 27, 121, 128, 149, 158, 198, 233, 257, 350, 392, 409, 428, 437, 573, 614, 659, 680] [22, 64, 73, 108, 186, 248, 273, 312, 321, 417, 516, 518, 555, 564, 609, 645, 664, 675] [7, 23, 101, 123, 128, 184, 199, 259, 268, 418, 517, 519, 556, 565, 610, 646, 665, 676] [5, 24, 38, 152, 161, 174, 214, 237, 332, 419, 518, 520, 557, 566, 611, 647, 648, 677] [25, 53, 57, 112, 270, 279, 297, 319, 330, 420, 519, 521, 540, 567, 594, 630, 649, 678] [26, 54, 94, 181, 190, 203, 226, 266, 295, 421, 504, 520, 541, 568, 595, 631, 650, 679] [2, 11, 27, 42, 83, 91, 159, 167, 224, 422, 505, 521, 542, 569, 596, 632, 651, 680] [28, 61, 81, 138, 164, 286, 312, 327, 336, 423, 504, 506, 543, 570, 597, 633, 652, 681] [29, 98, 136, 197, 247, 259, 292, 301, 309, 424, 505, 507, 544, 571, 598, 634, 653, 682] [0, 30, 122, 152, 171, 221, 230, 245, 256, 425, 506, 508, 545, 572, 599, 635, 654, 683] [31, 78, 87, 120, 149, 213, 279, 316, 325, 426, 507, 509, 546, 573, 600, 636, 655, 666] [32, 52, 133, 142, 190, 211, 263, 276, 290, 427, 508, 510, 547, 574, 601, 637, 656, 667] [11, 33, 50, 71, 156, 187, 219, 242, 251, 428, 509, 511, 548, 575, 602, 638, 657, 668] [8, 34, 69, 76, 90, 108, 117, 283, 336, 429, 510, 512, 549, 558, 603, 639, 658, 669] [35, 106, 131, 163, 194, 199, 208, 301, 333, 430, 511, 513, 550, 559, 604, 640, 659, 670] [15, 18, 38, 47, 179, 230, 240, 298, 308, 431, 512, 514, 551, 560, 605, 641, 660, 671] [19, 57, 66, 87, 115, 227, 255, 306, 340, 414, 513, 515, 552, 561, 606, 642, 661, 672] [20, 84, 94, 103, 142, 148, 206, 253, 305, 415, 514, 516, 553, 562, 607, 643, 662, 673] [21, 45, 139, 146, 167, 176, 216, 251, 275, 416, 515, 517, 554, 563, 608, 644, 663, 674] [40, 82, 91, 126, 204, 266, 291, 330, 339, 348, 372, 412, 429, 483, 519, 561, 626, 657] [25, 41, 119, 141, 146, 202, 217, 277, 286, 349, 373, 413, 430, 484, 520, 562, 627, 658] [8, 23, 42, 56, 170, 179, 192, 232, 255, 350, 374, 396, 431, 485, 521, 563, 628, 659] [6, 43, 71, 75, 130, 288, 297, 315, 337, 351, 375, 397, 414, 468, 504, 564, 629, 660] [44, 72, 112, 199, 208, 221, 244, 284, 313, 352, 376, 398, 415, 469, 505, 565, 612, 661] [20, 29, 45, 60, 101, 109, 177, 185, 242, 353, 377, 399, 416, 470, 506, 566, 613, 662] [3, 12, 46, 79, 99, 156, 182, 304, 330, 354, 360, 400, 417, 471, 507, 567, 614, 663] [47, 116, 154, 215, 265, 277, 310, 319, 327, 355, 361, 401, 418, 472, 508, 568, 615, 664] [18, 48, 140, 170, 189, 239, 248, 263, 274, 356, 362, 402, 419, 473, 509, 569, 616, 665] [1, 49, 96, 105, 138, 167, 231, 297, 334, 357, 363, 403, 420, 474, 510, 570, 617, 648] [50, 70, 151, 160, 208, 229, 281, 294, 308, 358, 364, 404, 421, 475, 511, 571, 618, 649] [29, 51, 68, 89, 174, 205, 237, 260, 269, 359, 365, 405, 422, 476, 512, 572, 619, 650] [12, 26, 52, 87, 94, 108, 126, 135, 301, 342, 366, 406, 423, 477, 513, 573, 620, 651] [9, 53, 124, 149, 181, 212, 217, 226, 319, 343, 367, 407, 424, 478, 514, 574, 621, 652] [33, 36, 56, 65, 197, 248, 258, 316, 326, 344, 368, 408, 425, 479, 515, 575, 622, 653] [16, 37, 75, 84, 105, 133, 245, 273, 324, 345, 369, 409, 426, 480, 516, 558, 623, 654] [38, 102, 112, 121, 160, 166, 224, 271, 323, 346, 370, 410, 427, 481, 517, 559, 624, 655] [39, 63, 157, 164, 185, 194, 234, 269, 293, 347, 371, 411, 428, 482, 518, 560, 625, 656] [6, 15, 58, 100, 109, 144, 222, 284, 309, 357, 363, 392, 393, 474, 502, 570, 639, 645] [43, 59, 137, 159, 164, 220, 235, 295, 304, 358, 364, 393, 394, 475, 503, 571, 640, 646] [26, 41, 60, 74, 188, 197, 210, 250, 273, 359, 365, 394, 395, 476, 486, 572, 641, 647] [13, 24, 61, 89, 93, 148, 306, 315, 333, 342, 366, 378, 395, 477, 487, 573, 630, 642] [62, 90, 130, 217, 226, 239, 262, 302, 331, 343, 367, 378, 379, 478, 488, 574, 631, 643] [38, 47, 63, 78, 119, 127, 195, 203, 260, 344, 368, 379, 380, 479, 489, 575, 632, 644] [6, 21, 30, 64, 97, 117, 174, 200, 322, 345, 369, 380, 381, 480, 490, 558, 633, 645] [3, 65, 134, 172, 233, 283, 295, 328, 337, 346, 370, 381, 382, 481, 491, 559, 634, 646] [36, 66, 158, 188, 207, 257, 266, 281, 292, 347, 371, 382, 383, 482, 492, 560, 635, 647] [10, 19, 67, 114, 123, 156, 185, 249, 315, 348, 372, 383, 384, 483, 493, 561, 630, 636] [68, 88, 169, 178, 226, 247, 299, 312, 326, 349, 373, 384, 385, 484, 494, 562, 631, 637] [47, 69, 86, 107, 192, 223, 255, 278, 287, 350, 374, 385, 386, 485, 495, 563, 632, 638] [30, 44, 70, 105, 112, 126, 144, 153, 319, 351, 375, 386, 387, 468, 496, 564, 633, 639] [27, 71, 142, 167, 199, 230, 235, 244, 337, 352, 376, 387, 388, 469, 497, 565, 634, 640] [2, 51, 54, 74, 83, 215, 266, 276, 334, 353, 377, 388, 389, 470, 498, 566, 635, 641] [0, 34, 55, 93, 102, 123, 151, 263, 291, 354, 360, 389, 390, 471, 499, 567, 636, 642] [56, 120, 130, 139, 178, 184, 242, 289, 341, 355, 361, 390, 391, 472, 500, 568, 637, 643] [57, 81, 175, 182, 203, 212, 252, 287, 311, 356, 362, 391, 392, 473, 501, 569, 638, 644] [24, 33, 76, 118, 127, 162, 240, 302, 327, 426, 500, 507, 519, 573, 592, 600, 609, 621] [61, 77, 155, 177, 182, 238, 253, 313, 322, 427, 501, 508, 520, 574, 593, 601, 610, 622] [44, 59, 78, 92, 206, 215, 228, 268, 291, 428, 502, 509, 521, 575, 576, 602, 611, 623] [9, 31, 42, 79, 107, 111, 166, 324, 333, 429, 503, 504, 510, 558, 577, 594, 603, 624] [7, 80, 108, 148, 235, 244, 257, 280, 320, 430, 486, 505, 511, 559, 578, 595, 604, 625] [56, 65, 81, 96, 137, 145, 213, 221, 278, 431, 487, 506, 512, 560, 579, 596, 605, 626] [24, 39, 48, 82, 115, 135, 192, 218, 340, 414, 488, 507, 513, 561, 580, 597, 606, 627] [4, 13, 21, 83, 152, 190, 251, 301, 313, 415, 489, 508, 514, 562, 581, 598, 607, 628] [54, 84, 176, 206, 225, 275, 284, 299, 310, 416, 490, 509, 515, 563, 582, 599, 608, 629] [28, 37, 85, 132, 141, 174, 203, 267, 333, 417, 491, 510, 516, 564, 583, 600, 609, 612] [2, 86, 106, 187, 196, 244, 265, 317, 330, 418, 492, 511, 517, 565, 584, 601, 610, 613] [65, 87, 104, 125, 210, 241, 273, 296, 305, 419, 493, 512, 518, 566, 585, 602, 611, 614] [48, 62, 88, 123, 130, 144, 162, 171, 337, 420, 494, 513, 519, 567, 586, 594, 603, 615] [13, 45, 89, 160, 185, 217, 248, 253, 262, 421, 495, 514, 520, 568, 587, 595, 604, 616] [10, 20, 69, 72, 92, 101, 233, 284, 294, 422, 496, 515, 521, 569, 588, 596, 605, 617] [18, 52, 73, 111, 120, 141, 169, 281, 309, 423, 497, 504, 516, 570, 589, 597, 606, 618] [17, 74, 138, 148, 157, 196, 202, 260, 307, 424, 498, 505, 517, 571, 590, 598, 607, 619] [75, 99, 193, 200, 221, 230, 270, 305, 329, 425, 499, 506, 518, 572, 591, 599, 608, 620] [3, 42, 51, 94, 136, 145, 180, 258, 320, 384, 393, 447, 483, 603, 608, 624, 651, 682] [79, 95, 173, 195, 200, 256, 271, 331, 340, 385, 394, 448, 484, 604, 609, 625, 652, 683] [62, 77, 96, 110, 224, 233, 246, 286, 309, 386, 395, 449, 485, 605, 610, 626, 653, 666] [0, 9, 27, 49, 60, 97, 125, 129, 184, 378, 387, 432, 468, 606, 611, 627, 654, 667] [25, 98, 126, 166, 253, 262, 275, 298, 338, 379, 388, 433, 469, 594, 607, 628, 655, 668] [74, 83, 99, 114, 155, 163, 231, 239, 296, 380, 389, 434, 470, 595, 608, 629, 656, 669] [16, 42, 57, 66, 100, 133, 153, 210, 236, 381, 390, 435, 471, 596, 609, 612, 657, 670] [22, 31, 39, 101, 170, 208, 269, 319, 331, 382, 391, 436, 472, 597, 610, 613, 658, 671] [72, 102, 194, 224, 243, 293, 302, 317, 328, 383, 392, 437, 473, 598, 611, 614, 659, 672] [9, 46, 55, 103, 150, 159, 192, 221, 285, 384, 393, 438, 474, 594, 599, 615, 660, 673] [6, 20, 104, 124, 205, 214, 262, 283, 335, 385, 394, 439, 475, 595, 600, 616, 661, 674] [83, 105, 122, 143, 228, 259, 291, 314, 323, 386, 395, 440, 476, 596, 601, 617, 662, 675] [13, 66, 80, 106, 141, 148, 162, 180, 189, 378, 387, 441, 477, 597, 602, 618, 663, 676] [31, 63, 107, 178, 203, 235, 266, 271, 280, 379, 388, 442, 478, 598, 603, 619, 664, 677] [28, 38, 87, 90, 110, 119, 251, 302, 312, 380, 389, 443, 479, 599, 604, 620, 665, 678] [36, 70, 91, 129, 138, 159, 187, 299, 327, 381, 390, 444, 480, 600, 605, 621, 648, 679] [35, 92, 156, 166, 175, 214, 220, 278, 325, 382, 391, 445, 481, 601, 606, 622, 649, 680] [5, 93, 117, 211, 218, 239, 248, 288, 323, 383, 392, 446, 482, 602, 607, 623, 650, 681] [21, 60, 69, 112, 154, 163, 198, 276, 338, 357, 374, 430, 453, 480, 510, 585, 609, 663] [7, 16, 97, 113, 191, 213, 218, 274, 289, 358, 375, 431, 454, 481, 511, 586, 610, 664] [80, 95, 114, 128, 242, 251, 264, 304, 327, 359, 376, 414, 455, 482, 512, 587, 611, 665] [18, 27, 45, 67, 78, 115, 143, 147, 202, 342, 377, 415, 456, 483, 513, 588, 594, 648] [14, 43, 116, 144, 184, 271, 280, 293, 316, 343, 360, 416, 457, 484, 514, 589, 595, 649] [92, 101, 117, 132, 173, 181, 249, 257, 314, 344, 361, 417, 458, 485, 515, 590, 596, 650] [34, 60, 75, 84, 118, 151, 171, 228, 254, 345, 362, 418, 459, 468, 516, 591, 597, 651] [7, 40, 49, 57, 119, 188, 226, 287, 337, 346, 363, 419, 460, 469, 517, 592, 598, 652] [4, 90, 120, 212, 242, 261, 311, 320, 335, 347, 364, 420, 461, 470, 518, 593, 599, 653] [27, 64, 73, 121, 168, 177, 210, 239, 303, 348, 365, 421, 462, 471, 519, 576, 600, 654] [11, 24, 38, 122, 142, 223, 232, 280, 301, 349, 366, 422, 463, 472, 520, 577, 601, 655] [101, 123, 140, 161, 246, 277, 309, 332, 341, 350, 367, 423, 464, 473, 521, 578, 602, 656] [31, 84, 98, 124, 159, 166, 180, 198, 207, 351, 368, 424, 465, 474, 504, 579, 603, 657] [49, 81, 125, 196, 221, 253, 284, 289, 298, 352, 369, 425, 466, 475, 505, 580, 604, 658] [46, 56, 105, 108, 128, 137, 269, 320, 330, 353, 370, 426, 467, 476, 506, 581, 605, 659] [3, 54, 88, 109, 147, 156, 177, 205, 317, 354, 371, 427, 450, 477, 507, 582, 606, 660] [1, 53, 110, 174, 184, 193, 232, 238, 296, 355, 372, 428, 451, 478, 508, 583, 607, 661] [23, 111, 135, 229, 236, 257, 266, 306, 341, 356, 373, 429, 452, 479, 509, 584, 608, 662] [14, 39, 78, 87, 130, 172, 181, 216, 294, 482, 483, 520, 537, 567, 573, 597, 636, 678] [25, 34, 115, 131, 209, 231, 236, 292, 307, 483, 484, 521, 538, 568, 574, 598, 637, 679] [3, 98, 113, 132, 146, 260, 269, 282, 322, 484, 485, 504, 539, 569, 575, 599, 638, 680] [36, 45, 63, 85, 96, 133, 161, 165, 220, 468, 485, 505, 522, 558, 570, 600, 639, 681] [32, 61, 134, 162, 202, 289, 298, 311, 334, 468, 469, 506, 523, 559, 571, 601, 640, 682] [110, 119, 135, 150, 191, 199, 267, 275, 332, 469, 470, 507, 524, 560, 572, 602, 641, 683] [52, 78, 93, 102, 136, 169, 189, 246, 272, 470, 471, 508, 525, 561, 573, 603, 642, 666] [13, 25, 58, 67, 75, 137, 206, 244, 305, 471, 472, 509, 526, 562, 574, 604, 643, 667] [11, 22, 108, 138, 230, 260, 279, 329, 338, 472, 473, 510, 527, 563, 575, 605, 644, 668] [45, 82, 91, 139, 186, 195, 228, 257, 321, 473, 474, 511, 528, 558, 564, 606, 645, 669] [29, 42, 56, 140, 160, 241, 250, 298, 319, 474, 475, 512, 529, 559, 565, 607, 646, 670] [8, 17, 119, 141, 158, 179, 264, 295, 327, 475, 476, 513, 530, 560, 566, 608, 647, 671] [49, 102, 116, 142, 177, 184, 198, 216, 225, 476, 477, 514, 531, 561, 567, 609, 630, 672] [67, 99, 143, 214, 239, 271, 302, 307, 316, 477, 478, 515, 532, 562, 568, 610, 631, 673] [6, 64, 74, 123, 126, 146, 155, 287, 338, 478, 479, 516, 533, 563, 569, 611, 632, 674] [21, 72, 106, 127, 165, 174, 195, 223, 335, 479, 480, 517, 534, 564, 570, 594, 633, 675] [19, 71, 128, 192, 202, 211, 250, 256, 314, 480, 481, 518, 535, 565, 571, 595, 634, 676] [17, 41, 129, 153, 247, 254, 275, 284, 324, 481, 482, 519, 536, 566, 572, 596, 635, 677] [32, 57, 96, 105, 148, 190, 199, 234, 312, 357, 399, 411, 420, 447, 534, 549, 590, 610] [43, 52, 133, 149, 227, 249, 254, 310, 325, 358, 400, 412, 421, 448, 535, 550, 591, 611] [21, 116, 131, 150, 164, 278, 287, 300, 340, 359, 401, 413, 422, 449, 536, 551, 592, 594] [54, 63, 81, 103, 114, 151, 179, 183, 238, 342, 396, 402, 423, 432, 537, 552, 593, 595] [10, 50, 79, 152, 180, 220, 307, 316, 329, 343, 397, 403, 424, 433, 538, 553, 576, 596] [8, 128, 137, 153, 168, 209, 217, 285, 293, 344, 398, 404, 425, 434, 539, 554, 577, 597] [70, 96, 111, 120, 154, 187, 207, 264, 290, 345, 399, 405, 426, 435, 522, 555, 578, 598] [31, 43, 76, 85, 93, 155, 224, 262, 323, 346, 400, 406, 427, 436, 523, 556, 579, 599] [5, 14, 29, 40, 126, 156, 248, 278, 297, 347, 401, 407, 428, 437, 524, 557, 580, 600] [63, 100, 109, 157, 204, 213, 246, 275, 339, 348, 402, 408, 429, 438, 525, 540, 581, 601] [47, 60, 74, 158, 178, 259, 268, 316, 337, 349, 403, 409, 430, 439, 526, 541, 582, 602] [3, 26, 35, 137, 159, 176, 197, 282, 313, 350, 404, 410, 431, 440, 527, 542, 583, 603] [67, 120, 134, 160, 195, 202, 216, 234, 243, 351, 405, 411, 414, 441, 528, 543, 584, 604] [85, 117, 161, 232, 257, 289, 320, 325, 334, 352, 406, 412, 415, 442, 529, 544, 585, 605] [14, 24, 82, 92, 141, 144, 164, 173, 305, 353, 407, 413, 416, 443, 530, 545, 586, 606] [11, 39, 90, 124, 145, 183, 192, 213, 241, 354, 396, 408, 417, 444, 531, 546, 587, 607] [37, 89, 146, 210, 220, 229, 268, 274, 332, 355, 397, 409, 418, 445, 532, 547, 588, 608] [0, 35, 59, 147, 171, 265, 272, 293, 302, 356, 398, 410, 419, 446, 533, 548, 589, 609] [50, 75, 114, 123, 166, 208, 217, 252, 330, 356, 358, 390, 531, 543, 546, 573, 627, 663] [1, 61, 70, 151, 167, 245, 267, 272, 328, 357, 359, 391, 532, 544, 547, 574, 628, 664] [16, 39, 134, 149, 168, 182, 296, 305, 318, 342, 358, 392, 533, 545, 548, 575, 629, 665] [72, 81, 99, 121, 132, 169, 197, 201, 256, 343, 359, 393, 534, 546, 549, 558, 612, 648] [5, 28, 68, 97, 170, 198, 238, 325, 334, 342, 344, 394, 535, 547, 550, 559, 613, 649] [26, 146, 155, 171, 186, 227, 235, 303, 311, 343, 345, 395, 536, 548, 551, 560, 614, 650] [88, 114, 129, 138, 172, 205, 225, 282, 308, 344, 346, 378, 537, 549, 552, 561, 615, 651] [49, 61, 94, 103, 111, 173, 242, 280, 341, 345, 347, 379, 538, 550, 553, 562, 616, 652] [23, 32, 47, 58, 144, 174, 266, 296, 315, 346, 348, 380, 539, 551, 554, 563, 617, 653] [15, 81, 118, 127, 175, 222, 231, 264, 293, 347, 349, 381, 522, 552, 555, 564, 618, 654] [13, 65, 78, 92, 176, 196, 277, 286, 334, 348, 350, 382, 523, 553, 556, 565, 619, 655] [21, 44, 53, 155, 177, 194, 215, 300, 331, 349, 351, 383, 524, 554, 557, 566, 620, 656] [85, 138, 152, 178, 213, 220, 234, 252, 261, 350, 352, 384, 525, 540, 555, 567, 621, 657] [1, 10, 103, 135, 179, 250, 275, 307, 338, 351, 353, 385, 526, 541, 556, 568, 622, 658] [32, 42, 100, 110, 159, 162, 182, 191, 323, 352, 354, 386, 527, 542, 557, 569, 623, 659] [29, 57, 108, 142, 163, 201, 210, 231, 259, 353, 355, 387, 528, 540, 543, 570, 624, 660] [8, 55, 107, 164, 228, 238, 247, 286, 292, 354, 356, 388, 529, 541, 544, 571, 625, 661] [18, 53, 77, 165, 189, 283, 290, 311, 320, 355, 357, 389, 530, 542, 545, 572, 626, 662] [6, 68, 93, 132, 141, 184, 226, 235, 270, 345, 447, 448, 464, 501, 513, 537, 588, 672] [4, 19, 79, 88, 169, 185, 263, 285, 290, 346, 448, 449, 465, 502, 514, 538, 589, 673] [34, 57, 152, 167, 186, 200, 314, 323, 336, 347, 432, 449, 466, 503, 515, 539, 590, 674] [90, 99, 117, 139, 150, 187, 215, 219, 274, 348, 432, 433, 467, 486, 516, 522, 591, 675] [1, 10, 23, 46, 86, 115, 188, 216, 256, 349, 433, 434, 450, 487, 517, 523, 592, 676] [44, 164, 173, 189, 204, 245, 253, 321, 329, 350, 434, 435, 451, 488, 518, 524, 593, 677] [106, 132, 147, 156, 190, 223, 243, 300, 326, 351, 435, 436, 452, 489, 519, 525, 576, 678] [17, 67, 79, 112, 121, 129, 191, 260, 298, 352, 436, 437, 453, 490, 520, 526, 577, 679] [41, 50, 65, 76, 162, 192, 284, 314, 333, 353, 437, 438, 454, 491, 521, 527, 578, 680] [33, 99, 136, 145, 193, 240, 249, 282, 311, 354, 438, 439, 455, 492, 504, 528, 579, 681] [10, 31, 83, 96, 110, 194, 214, 295, 304, 355, 439, 440, 456, 493, 505, 529, 580, 682] [7, 39, 62, 71, 173, 195, 212, 233, 318, 356, 440, 441, 457, 494, 506, 530, 581, 683] [103, 156, 170, 196, 231, 238, 252, 270, 279, 357, 441, 442, 458, 495, 507, 531, 582, 666] [14, 19, 28, 121, 153, 197, 268, 293, 325, 358, 442, 443, 459, 496, 508, 532, 583, 667] [50, 60, 118, 128, 177, 180, 200, 209, 341, 359, 443, 444, 460, 497, 509, 533, 584, 668] [47, 75, 126, 160, 181, 219, 228, 249, 277, 342, 444, 445, 461, 498, 510, 534, 585, 669] [26, 73, 125, 182, 246, 256, 265, 304, 310, 343, 445, 446, 462, 499, 511, 535, 586, 670] [36, 71, 95, 183, 207, 301, 308, 329, 338, 344, 446, 447, 463, 500, 512, 536, 587, 671] [24, 86, 111, 150, 159, 202, 244, 253, 288, 375, 411, 444, 456, 489, 495, 538, 572, 663] [22, 37, 97, 106, 187, 203, 281, 303, 308, 376, 412, 445, 457, 490, 496, 539, 573, 664] [12, 52, 75, 170, 185, 204, 218, 332, 341, 377, 413, 446, 458, 491, 497, 522, 574, 665] [108, 117, 135, 157, 168, 205, 233, 237, 292, 360, 396, 447, 459, 492, 498, 523, 575, 648] [19, 28, 41, 64, 104, 133, 206, 234, 274, 361, 397, 448, 460, 493, 499, 524, 558, 649] [5, 62, 182, 191, 207, 222, 263, 271, 339, 362, 398, 449, 461, 494, 500, 525, 559, 650] [2, 124, 150, 165, 174, 208, 241, 261, 318, 363, 399, 432, 462, 495, 501, 526, 560, 651] [35, 85, 97, 130, 139, 147, 209, 278, 316, 364, 400, 433, 463, 496, 502, 527, 561, 652] [9, 59, 68, 83, 94, 180, 210, 302, 332, 365, 401, 434, 464, 497, 503, 528, 562, 653] [51, 117, 154, 163, 211, 258, 267, 300, 329, 366, 402, 435, 465, 486, 498, 529, 563, 654] [28, 49, 101, 114, 128, 212, 232, 313, 322, 367, 403, 436, 466, 487, 499, 530, 564, 655] [25, 57, 80, 89, 191, 213, 230, 251, 336, 368, 404, 437, 467, 488, 500, 531, 565, 656] [121, 174, 188, 214, 249, 256, 270, 288, 297, 369, 405, 438, 450, 489, 501, 532, 566, 657] [1, 32, 37, 46, 139, 171, 215, 286, 311, 370, 406, 439, 451, 490, 502, 533, 567, 658] [17, 68, 78, 136, 146, 195, 198, 218, 227, 371, 407, 440, 452, 491, 503, 534, 568, 659] [65, 93, 144, 178, 199, 237, 246, 267, 295, 372, 408, 441, 453, 486, 492, 535, 569, 660] [44, 91, 143, 200, 264, 274, 283, 322, 328, 373, 409, 442, 454, 487, 493, 536, 570, 661] [5, 14, 54, 89, 113, 201, 225, 319, 326, 374, 410, 443, 455, 488, 494, 537, 571, 662] [42, 104, 129, 168, 177, 220, 262, 271, 306, 477, 537, 582, 591, 627, 628, 633, 642, 680] [40, 55, 115, 124, 205, 221, 299, 321, 326, 478, 538, 583, 592, 628, 629, 634, 643, 681] [8, 17, 30, 70, 93, 188, 203, 222, 236, 479, 539, 584, 593, 612, 629, 635, 644, 682] [126, 135, 153, 175, 186, 223, 251, 255, 310, 480, 522, 576, 585, 612, 613, 636, 645, 683] [37, 46, 59, 82, 122, 151, 224, 252, 292, 481, 523, 577, 586, 613, 614, 637, 646, 666] [15, 23, 80, 200, 209, 225, 240, 281, 289, 482, 524, 578, 587, 614, 615, 638, 647, 667] [20, 142, 168, 183, 192, 226, 259, 279, 336, 483, 525, 579, 588, 615, 616, 630, 639, 668] [53, 103, 115, 148, 157, 165, 227, 296, 334, 484, 526, 580, 589, 616, 617, 631, 640, 669] [8, 27, 77, 86, 101, 112, 198, 228, 320, 485, 527, 581, 590, 617, 618, 632, 641, 670] [5, 69, 135, 172, 181, 229, 276, 285, 318, 468, 528, 582, 591, 618, 619, 633, 642, 671] [46, 67, 119, 132, 146, 230, 250, 331, 340, 469, 529, 583, 592, 619, 620, 634, 643, 672] [12, 43, 75, 98, 107, 209, 231, 248, 269, 470, 530, 584, 593, 620, 621, 635, 644, 673] [139, 192, 206, 232, 267, 274, 288, 306, 315, 471, 531, 576, 585, 621, 622, 636, 645, 674] [19, 50, 55, 64, 157, 189, 233, 304, 329, 472, 532, 577, 586, 622, 623, 637, 646, 675] [35, 86, 96, 154, 164, 213, 216, 236, 245, 473, 533, 578, 587, 623, 624, 638, 647, 676] [83, 111, 162, 196, 217, 255, 264, 285, 313, 474, 534, 579, 588, 624, 625, 630, 639, 677] [4, 62, 109, 161, 218, 282, 292, 301, 340, 475, 535, 580, 589, 625, 626, 631, 640, 678] [2, 23, 32, 72, 107, 131, 219, 243, 337, 476, 536, 581, 590, 626, 627, 632, 641, 679] [60, 122, 147, 186, 195, 238, 280, 289, 324, 366, 376, 411, 435, 446, 459, 465, 498, 501] [2, 58, 73, 133, 142, 223, 239, 317, 339, 367, 377, 412, 436, 447, 460, 466, 499, 502] [26, 35, 48, 88, 111, 206, 221, 240, 254, 360, 368, 413, 437, 448, 461, 467, 500, 503] [144, 153, 171, 193, 204, 241, 269, 273, 328, 361, 369, 396, 438, 449, 450, 462, 486, 501] [55, 64, 77, 100, 140, 169, 242, 270, 310, 362, 370, 397, 432, 439, 451, 463, 487, 502] [33, 41, 98, 218, 227, 243, 258, 299, 307, 363, 371, 398, 433, 440, 452, 464, 488, 503] [12, 38, 160, 186, 201, 210, 244, 277, 297, 364, 372, 399, 434, 441, 453, 465, 486, 489] [10, 71, 121, 133, 166, 175, 183, 245, 314, 365, 373, 400, 435, 442, 454, 466, 487, 490] [26, 45, 95, 104, 119, 130, 216, 246, 338, 366, 374, 401, 436, 443, 455, 467, 488, 491] [23, 87, 153, 190, 199, 247, 294, 303, 336, 367, 375, 402, 437, 444, 450, 456, 489, 492] [7, 16, 64, 85, 137, 150, 164, 248, 268, 368, 376, 403, 438, 445, 451, 457, 490, 493] [30, 61, 93, 116, 125, 227, 249, 266, 287, 369, 377, 404, 439, 446, 452, 458, 491, 494] [157, 210, 224, 250, 285, 292, 306, 324, 333, 360, 370, 405, 440, 447, 453, 459, 492, 495] [5, 37, 68, 73, 82, 175, 207, 251, 322, 361, 371, 406, 441, 448, 454, 460, 493, 496] [53, 104, 114, 172, 182, 231, 234, 254, 263, 362, 372, 407, 442, 449, 455, 461, 494, 497] [101, 129, 180, 214, 235, 273, 282, 303, 331, 363, 373, 408, 432, 443, 456, 462, 495, 498] [16, 22, 80, 127, 179, 236, 300, 310, 319, 364, 374, 409, 433, 444, 457, 463, 496, 499] [13, 20, 41, 50, 90, 125, 149, 237, 261, 365, 375, 410, 434, 445, 458, 464, 497, 500] [0, 78, 140, 165, 204, 213, 256, 298, 307, 354, 375, 441, 466, 492, 554, 579, 627, 681] [15, 20, 76, 91, 151, 160, 241, 257, 335, 355, 376, 442, 467, 493, 555, 580, 628, 682] [44, 53, 66, 106, 129, 224, 239, 258, 272, 356, 377, 443, 450, 494, 556, 581, 629, 683] [4, 162, 171, 189, 211, 222, 259, 287, 291, 357, 360, 444, 451, 495, 557, 582, 612, 666] [73, 82, 95, 118, 158, 187, 260, 288, 328, 358, 361, 445, 452, 496, 540, 583, 613, 667] [51, 59, 116, 236, 245, 261, 276, 317, 325, 359, 362, 446, 453, 497, 541, 584, 614, 668] [30, 56, 178, 204, 219, 228, 262, 295, 315, 342, 363, 447, 454, 498, 542, 585, 615, 669] [28, 89, 139, 151, 184, 193, 201, 263, 332, 343, 364, 448, 455, 499, 543, 586, 616, 670] [14, 44, 63, 113, 122, 137, 148, 234, 264, 344, 365, 449, 456, 500, 544, 587, 617, 671] [12, 41, 105, 171, 208, 217, 265, 312, 321, 345, 366, 432, 457, 501, 545, 588, 618, 672] [25, 34, 82, 103, 155, 168, 182, 266, 286, 346, 367, 433, 458, 502, 546, 589, 619, 673] [48, 79, 111, 134, 143, 245, 267, 284, 305, 347, 368, 434, 459, 503, 547, 590, 620, 674] [0, 9, 175, 228, 242, 268, 303, 310, 324, 348, 369, 435, 460, 486, 548, 591, 621, 675] [23, 55, 86, 91, 100, 193, 225, 269, 340, 349, 370, 436, 461, 487, 549, 592, 622, 676] [71, 122, 132, 190, 200, 249, 252, 272, 281, 350, 371, 437, 462, 488, 550, 593, 623, 677] [7, 119, 147, 198, 232, 253, 291, 300, 321, 351, 372, 438, 463, 489, 551, 576, 624, 678] [34, 40, 98, 145, 197, 254, 318, 328, 337, 352, 373, 439, 464, 490, 552, 577, 625, 679] [31, 38, 59, 68, 108, 143, 167, 255, 279, 353, 374, 440, 465, 491, 553, 578, 626, 680] [18, 96, 158, 183, 222, 231, 274, 316, 325, 381, 423, 501, 552, 555, 556, 591, 618, 662] [11, 33, 38, 94, 109, 169, 178, 259, 275, 382, 424, 502, 553, 556, 557, 592, 619, 663] [62, 71, 84, 124, 147, 242, 257, 276, 290, 383, 425, 503, 540, 554, 557, 593, 620, 664] [22, 180, 189, 207, 229, 240, 277, 305, 309, 384, 426, 486, 540, 541, 555, 576, 621, 665] [4, 91, 100, 113, 136, 176, 205, 278, 306, 385, 427, 487, 541, 542, 556, 577, 622, 648] [1, 69, 77, 134, 254, 263, 279, 294, 335, 386, 428, 488, 542, 543, 557, 578, 623, 649] [48, 74, 196, 222, 237, 246, 280, 313, 333, 387, 429, 489, 540, 543, 544, 579, 624, 650] [8, 46, 107, 157, 169, 202, 211, 219, 281, 388, 430, 490, 541, 544, 545, 580, 625, 651] [32, 62, 81, 131, 140, 155, 166, 252, 282, 389, 431, 491, 542, 545, 546, 581, 626, 652] [30, 59, 123, 189, 226, 235, 283, 330, 339, 390, 414, 492, 543, 546, 547, 582, 627, 653] [43, 52, 100, 121, 173, 186, 200, 284, 304, 391, 415, 493, 544, 547, 548, 583, 628, 654] [66, 97, 129, 152, 161, 263, 285, 302, 323, 392, 416, 494, 545, 548, 549, 584, 629, 655] [0, 18, 27, 193, 246, 260, 286, 321, 328, 393, 417, 495, 546, 549, 550, 585, 612, 656] [16, 41, 73, 104, 109, 118, 211, 243, 287, 394, 418, 496, 547, 550, 551, 586, 613, 657] [89, 140, 150, 208, 218, 267, 270, 290, 299, 395, 419, 497, 548, 551, 552, 587, 614, 658] [25, 137, 165, 216, 250, 271, 309, 318, 339, 378, 420, 498, 549, 552, 553, 588, 615, 659] [4, 13, 52, 58, 116, 163, 215, 272, 336, 379, 421, 499, 550, 553, 554, 589, 616, 660] [49, 56, 77, 86, 126, 161, 185, 273, 297, 380, 422, 500, 551, 554, 555, 590, 617, 661] [1, 36, 114, 176, 201, 240, 249, 292, 334, 375, 402, 405, 408, 428, 429, 465, 525, 646] [29, 51, 56, 112, 127, 187, 196, 277, 293, 376, 403, 406, 409, 429, 430, 466, 526, 647] [80, 89, 102, 142, 165, 260, 275, 294, 308, 377, 404, 407, 410, 430, 431, 467, 527, 630] [40, 198, 207, 225, 247, 258, 295, 323, 327, 360, 405, 408, 411, 414, 431, 450, 528, 631] [22, 109, 118, 131, 154, 194, 223, 296, 324, 361, 406, 409, 412, 414, 415, 451, 529, 632] [11, 19, 87, 95, 152, 272, 281, 297, 312, 362, 407, 410, 413, 415, 416, 452, 530, 633] [9, 66, 92, 214, 240, 255, 264, 298, 331, 363, 396, 408, 411, 416, 417, 453, 531, 634] [26, 64, 125, 175, 187, 220, 229, 237, 299, 364, 397, 409, 412, 417, 418, 454, 532, 635] [50, 80, 99, 149, 158, 173, 184, 270, 300, 365, 398, 410, 413, 418, 419, 455, 533, 636] [6, 15, 48, 77, 141, 207, 244, 253, 301, 366, 396, 399, 411, 419, 420, 456, 534, 637] [61, 70, 118, 139, 191, 204, 218, 302, 322, 367, 397, 400, 412, 420, 421, 457, 535, 638] [84, 115, 147, 170, 179, 281, 303, 320, 341, 368, 398, 401, 413, 421, 422, 458, 536, 639] [4, 18, 36, 45, 211, 264, 278, 304, 339, 369, 396, 399, 402, 422, 423, 459, 537, 640] [34, 59, 91, 122, 127, 136, 229, 261, 305, 370, 397, 400, 403, 423, 424, 460, 538, 641] [107, 158, 168, 226, 236, 285, 288, 308, 317, 371, 398, 401, 404, 424, 425, 461, 539, 642] [15, 43, 155, 183, 234, 268, 289, 327, 336, 372, 399, 402, 405, 425, 426, 462, 522, 643] [12, 22, 31, 70, 76, 134, 181, 233, 290, 373, 400, 403, 406, 426, 427, 463, 523, 644] [67, 74, 95, 104, 144, 179, 203, 291, 315, 374, 401, 404, 407, 427, 428, 464, 524, 645] [10, 19, 54, 132, 194, 219, 258, 267, 310, 387, 394, 528, 536, 591, 606, 645, 669, 681] [47, 69, 74, 130, 145, 205, 214, 295, 311, 388, 395, 529, 537, 592, 607, 646, 670, 682] [98, 107, 120, 160, 183, 278, 293, 312, 326, 378, 389, 530, 538, 593, 608, 647, 671, 683] [3, 58, 216, 225, 243, 265, 276, 313, 341, 379, 390, 531, 539, 576, 609, 630, 666, 672] [0, 40, 127, 136, 149, 172, 212, 241, 314, 380, 391, 522, 532, 577, 610, 631, 667, 673] [29, 37, 105, 113, 170, 290, 299, 315, 330, 381, 392, 523, 533, 578, 611, 632, 668, 674] [7, 27, 84, 110, 232, 258, 273, 282, 316, 382, 393, 524, 534, 579, 594, 633, 669, 675] [44, 82, 143, 193, 205, 238, 247, 255, 317, 383, 394, 525, 535, 580, 595, 634, 670, 676] [68, 98, 117, 167, 176, 191, 202, 288, 318, 384, 395, 526, 536, 581, 596, 635, 671, 677] [24, 33, 66, 95, 159, 225, 262, 271, 319, 378, 385, 527, 537, 582, 597, 636, 672, 678] [79, 88, 136, 157, 209, 222, 236, 320, 340, 379, 386, 528, 538, 583, 598, 637, 673, 679] [17, 102, 133, 165, 188, 197, 299, 321, 338, 380, 387, 529, 539, 584, 599, 638, 674, 680] [15, 22, 36, 54, 63, 229, 282, 296, 322, 381, 388, 522, 530, 585, 600, 639, 675, 681] [52, 77, 109, 140, 145, 154, 247, 279, 323, 382, 389, 523, 531, 586, 601, 640, 676, 682] [125, 176, 186, 244, 254, 303, 306, 326, 335, 383, 390, 524, 532, 587, 602, 641, 677, 683] [3, 12, 33, 61, 173, 201, 252, 286, 307, 384, 391, 525, 533, 588, 603, 642, 666, 678] [30, 40, 49, 88, 94, 152, 199, 251, 308, 385, 392, 526, 534, 589, 604, 643, 667, 679] [85, 92, 113, 122, 162, 197, 221, 309, 333, 386, 393, 527, 535, 590, 605, 644, 668, 680] [28, 37, 72, 150, 212, 237, 276, 285, 328, 369, 462, 465, 471, 484, 519, 555, 644, 654] [65, 87, 92, 148, 163, 223, 232, 313, 329, 370, 463, 466, 472, 485, 520, 556, 645, 655] [2, 116, 125, 138, 178, 201, 296, 311, 330, 371, 464, 467, 468, 473, 521, 557, 646, 656] [17, 21, 76, 234, 243, 261, 283, 294, 331, 372, 450, 465, 469, 474, 504, 540, 647, 657] [18, 58, 145, 154, 167, 190, 230, 259, 332, 373, 451, 466, 470, 475, 505, 541, 630, 658] [6, 47, 55, 123, 131, 188, 308, 317, 333, 374, 452, 467, 471, 476, 506, 542, 631, 659] [25, 45, 102, 128, 250, 276, 291, 300, 334, 375, 450, 453, 472, 477, 507, 543, 632, 660] [62, 100, 161, 211, 223, 256, 265, 273, 335, 376, 451, 454, 473, 478, 508, 544, 633, 661] [86, 116, 135, 185, 194, 209, 220, 306, 336, 377, 452, 455, 474, 479, 509, 545, 634, 662] [42, 51, 84, 113, 177, 243, 280, 289, 337, 360, 453, 456, 475, 480, 510, 546, 635, 663] [16, 97, 106, 154, 175, 227, 240, 254, 338, 361, 454, 457, 476, 481, 511, 547, 636, 664] [14, 35, 120, 151, 183, 206, 215, 317, 339, 362, 455, 458, 477, 482, 512, 548, 637, 665] [33, 40, 54, 72, 81, 247, 300, 314, 340, 363, 456, 459, 478, 483, 513, 549, 638, 648] [70, 95, 127, 158, 163, 172, 265, 297, 341, 364, 457, 460, 479, 484, 514, 550, 639, 649] [2, 11, 143, 194, 204, 262, 272, 321, 324, 365, 458, 461, 480, 485, 515, 551, 640, 650] [21, 30, 51, 79, 191, 219, 270, 304, 325, 366, 459, 462, 468, 481, 516, 552, 641, 651] [48, 58, 67, 106, 112, 170, 217, 269, 326, 367, 460, 463, 469, 482, 517, 553, 642, 652] [9, 103, 110, 131, 140, 180, 215, 239, 327, 368, 461, 464, 470, 483, 518, 554, 643, 653]
Code ID 684-8-110 · download JSON · raw on GitHub