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[[674,170,76]] d ≤
n
674
k
170
d
76
kd²/n
1456.85
w
32
X/Z
1.11

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Distance

X/Z asymmetry 1.11 · d_X ≤ 76, d_Z ≤ 84 · w_X = 32, w_Z = 32 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 76 · witness weight 76 (claimed upper_bound)
witness operator (support, 76 qubits)
[341, 345, 352, 359, 360, 361, 362, 363, 366, 367, 369, 372, 374, 382, 385, 386, 390, 393, 398, 399, 405, 406, 411, 418, 424, 431, 432, 434, 442, 443, 445, 449, 453, 464, 474, 475, 487, 491, 494, 498, 499, 504, 506, 512, 514, 520, 521, 524, 525, 529, 533, 536, 539, 551, 560, 567, 574, 579, 584, 589, 590, 591, 595, 598, 602, 612, 629, 631, 633, 638, 649, 651, 653, 660, 663, 666]
d_Z 84 · witness weight 84 (claimed upper_bound)
witness operator (support, 84 qubits)
[5, 8, 9, 17, 18, 20, 24, 28, 36, 47, 51, 56, 69, 74, 76, 80, 91, 96, 105, 106, 109, 111, 115, 116, 119, 124, 127, 132, 141, 144, 147, 150, 152, 154, 164, 166, 167, 168, 171, 172, 174, 177, 180, 181, 189, 193, 195, 197, 198, 207, 208, 209, 219, 220, 224, 227, 232, 235, 236, 238, 241, 245, 252, 253, 256, 261, 263, 265, 269, 274, 282, 287, 288, 294, 295, 300, 301, 306, 307, 319, 322, 326, 330, 334]
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 32 · H_Z 32
qubit degrees H_X 16 · H_Z 16
trapping sets H_X (1,16)×674 (2,24)×1685 (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
(1,16): 674 (2,24): 1685 (2,26): 5055 (2,28): 26286 (2,30): 92675
trapping sets H_Z (1,16)×674 (2,24)×1685 (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
(1,16): 674 (2,24): 1685 (2,26): 5055 (2,28): 26286 (2,30): 92675

Construction & provenance

authors @MathysRennela
provenance submitted through the challenge
novelty novelty not audited
construction cyclic generalized bicycle over Z_337 (arXiv:1904.02703 family) via designed-divisor search; nontrivial witnesses via circulant_gb_witness
model Beam 1.0 (claimed, not verified)
notes Different code from 674-170-51-b.json despite shared WL signature: this entry has d=76 (vs 51) and w=32; the equivalence is a WL collision, not code equivalence. Distance is a witness-backed upper bound; d-only gain over [[674,170,51]] flagged by gate as suspect axis, re-measured at matched depth (research/audits/leader_audit.py pair) before submission.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

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

[[674,170,76]] — cyclic generalized bicycle over Z_337, designed-divisor search

Direction & hypothesis

Target cell: unrestricted / any-weight (weight-32 checks). Family: generalized-bicycle over Z_337 (arXiv:1904.02703), the family behind the board's top kd²/n entries at n ~ 670-680. Hypothesis: a designed divisor of x^337 - 1 with degree 85 and sparse multiples at weight ~16 yields a non-dominated code in the high-weight cell.

What was searched

Used research/cyclic_gb.py find-advancing mode: 1820 degree-85 divisor ideals of x^337 - 1, Prange search (60000 trials) for sparse multiples in weight band 14-16, screened at 2000 RIS trials/side, deepened at 50000 trials. First advancing ideal found at ideal 0: a (16 supports), b (16 supports), g_int = 66129620953320098571150943. Deepened distance d <= 83 -> 76 (structure-aware circulant_gb_witness). Compute ~7 min.

Evidence trail

  • Screen (2000 RIS trials/side): d <= 87.
  • Deep (50000 RIS trials/side): d <= 83.
  • Structure-aware (circulant_gb_witness, 200000 trials): X-side logical weight 76, Z-side weight 84. Final claim d = 76 (min side), with per-side witnesses weight 76 (X) and 84 (Z).
  • Trusted gate (verify/validate_candidate.py): passed, board_advancing = true, dominated_by = [].

Dead ends

Weight-cap-6/8 cells: no advancing code found in this sweep (high-weight family). The d-only gain over [[674,170,51]] (674-170-51, 674-170-51-b) is flagged by the gate as a suspect axis; peer and candidate re-measured at matched depth per research/audits/leader_audit.py pair before submission.

Tools

Model: Beam 1.0. Repo tooling: research/cyclic_gb.py (find-advancing), research/kit/surrogate.py (lightest_logical), verify/gf2_fast (circulant_gb_witness), verify/qldpc_verify.py gate.

Reproduction

m=337, a=[15,19,116,136,144,156,212,229,232,238,261,273,287,290,318,336], b=[17,36,91,102,145,166,172,177,187,196,210,244,262,279,299,323]. H_X = [circ(a)|circ(b)], H_Z = [circ(b)^T|circ(a)^T] over Z_337. Reproduce via research/cyclic_gb.py build_cyclic_gb(337, a, b).

Parity checks

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