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[[401,12,18]] d ≤
n
401
k
12
d
18
kd²/n
9.696
w
8
X/Z
1.06
g
0.0048
r
6.7082
layers
2
swaps
2651

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Distance

X/Z asymmetry 1.06 · d_X ≤ 18, d_Z ≤ 19 · w_X = 8, w_Z = 8 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)
d_X 18 · witness weight 18 (claimed upper_bound)
witness operator (support, 18 qubits)
[12, 37, 38, 41, 89, 110, 136, 208, 229, 254, 275, 299, 322, 345, 367, 370, 372, 394]
d_Z 19 · witness weight 19 (claimed upper_bound)
witness operator (support, 19 qubits)
[30, 31, 33, 72, 73, 88, 93, 115, 139, 142, 218, 221, 222, 224, 225, 242, 243, 249, 351]
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 3–8 (mean 6.444) · H_Z 2–8 (mean 6.773)
qubit degrees H_X 1–10 (mean 4.017) · H_Z 1–7 (mean 3.868)
trapping sets H_X (1,1)×51 (2,0)×21 (3,0)×22 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,1): 51 (1,2): 25 (1,3): 49 (1,4): 177 (1,5): 21 (1,6): 44 (1,7): 16 (1,8): 2 (1,9): 2 (1,10): 14 (2,0): 21 (2,1): 37 (2,2): 124 (2,3): 227 (2,4): 279 (2,5): 437 (2,6): 1627 (2,7): 274 (2,8): 432 (2,9): 156 (2,10): 74 (2,11): 57 (2,12): 141 (2,13): 35 (2,14): 56 (2,15): 43 (2,16): 15 (2,17): 4 (2,18): 19 (3,0): 22 (3,1): 104 (3,2): 294 (3,3): 764 (3,4): 1801 (3,5): 3605 (3,6): 6007 (3,7): 6729 (3,8): 21185 (3,9): 4935 (3,10): 8367 (3,11): 2669 (3,12): 2192 (3,13): 1153 (3,14): 2117 (3,15): 982 (3,16): 1409 (3,17): 902 (3,18): 666 (3,19): 308 (3,20): 485 (3,21): 127 (3,22): 148 (3,23): 100 (3,24): 34 (3,25): 8 (3,26): 20
trapping sets H_Z (1,1)×20 (2,1)×56 (3,0)×20 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_Z
(1,1): 20 (1,2): 74 (1,3): 31 (1,4): 155 (1,5): 60 (1,6): 57 (1,7): 4 (2,1): 56 (2,2): 137 (2,3): 177 (2,4): 475 (2,5): 386 (2,6): 1331 (2,7): 735 (2,8): 611 (2,9): 204 (2,10): 58 (2,11): 10 (3,0): 20 (3,1): 64 (3,2): 355 (3,3): 876 (3,4): 1979 (3,5): 2975 (3,6): 8130 (3,7): 6912 (3,8): 17328 (3,9): 11228 (3,10): 10080 (3,11): 5176 (3,12): 2691 (3,13): 1142 (3,14): 379 (3,15): 65 (3,16): 3
witness diameter X 8.6023 · Z 22.0907 (Euclidean support diameter of the stored distance witnesses in the layout; an upper bound on the exhibited logicals’ spread, not a minimum over all logicals)

Verified 2D layout

as measured by the verifier: every check drawn over the submitted coordinates; the interaction radius is the longest dashed pair
r = 6.708
X checkZ checkqubit site (238)2 qubits stacked (2 layers)dashed: the pair setting the interaction radiushover a check to isolate its qubits; click to pin — repeated clicks cycle through overlapping checks; click empty space to release
routing cost 2651 nearest-neighbor SWAPs per round in total, at most 7 for one check (heuristic: MST lower bound on the layout, with one lattice step = the minimum qubit spacing 1; not a rank)

Construction & provenance

provenance submitted through the challenge
novelty novelty not audited
construction Open-boundary planar bivariate-bicycle code (Liang-Eberhardt-Chen, arXiv:2504.08887) on a 10x24 bilayer grid: f=[(0,0),(1,0),(2,3),(2,-2)], g=[(0,0),(0,1),(-1,-1),(-1,3)] (w8 tile-code flagship family) via research/local2d/boundary_engine.build_planar; directional anyon condensation, corner topological-order completion, cleanup (79 qubits removed). Boundary-graft strategy: periodic high-kd2/n BB supports -> open-boundary planar -> 2D bilayer layout (r<=7).
model DeepSeek V4 Flash 0731 (claimed, not verified)
date 2026-08-13
family bivariate bicycle (a tag, not a ranking)
locality 2D-local bilayer (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

[[401,12,18]] — open-boundary planar BB (w8 tile family), 10x24 bilayer; boundary-graft strategy

Direction & hypothesis

Target cell: weight-8 x local-2d-bilayer, operational efficiency K = kd^2/n. Strategy (user direction): take high-kd^2/n periodic bivariate-bicycle supports and apply boundary-grafting — the open-boundary planar construction (Liang–Eberhardt–Chen, arXiv:2504.08887) plus r=1 qubit-removal grafting (Sec. III E) — to embed them on a 2D bilayer grid with small interaction radius r <= 7.0.

The cell's prior leader was [[384,12,17]] (K = 9.03, the best of the _planar_pop_sweep at 10x23); the published bar is [[512,18,19]] (arXiv:2504.09171, exact, K ~ 12.7). Hypothesis: at fixed support pair the distance grows with the longer lattice axis while n grows only linearly, so a *larger, more elongated* lattice than the swept 10x23 should push K higher before the d-plateau. The 10x24 lattice (n=401) is the sweet spot.

What was searched

  • Deep-confirmed the w8 tile-code flagship family
  • f=[(0,0),(1,0),(2,3),(2,-2)], g=[(0,0),(0,1),(-1,-1),(-1,3)] across Lx in [9,13], Ly in [18,24] (n <= 700), built with boundary_engine.build_planar (directional anyon condensation, corner completion, cleanup), reduce_weights for the weight class, bilayer layout via planar.grid_coordinates, distance screened at 3k RIS trials.

  • 60+ lattices; the sweep reproduces the board's known entries exactly
  • ([[294,12,14]] at 8.00, [[384,12,17]] at 9.03), calibrating the screen. Best: 10x24 -> [[401,12,19]] at K = 10.80 (d=19 at 3k trials).

  • Also probed the higher-k FarLab support pairs (k=15,16) at 3k trials:
  • the raw boundary-engine build gives k=11 and d <= 7 at every aspect (their board entries' k=16/d=12 come from a different construction path that does not reproduce from the published supports alone) — dead end.

  • r=1 grafting (graft_r1_safe, d_floor=18, multi-seed confirmation) on
  • the 10x24 build removed 11 more qubits at d=18 held: [[390,12,18]].

Evidence trail

  • [[401,12,18]] (10x24, ungrafted): n=401, k=12, w=8, r=5.0 (bilayer,
  • within the 7.0 cap). Distance ladder: d=19 at 100/1k/3k trials, d=18 at 6k trials and at the gate's 8k-trial refutation — honest claim d <= 18, K = 12*18^2/401 = 9.69.

  • Trusted gate (verify/validate_candidate.py): passed: true,
  • refuted: false (no lighter logical in 8k RIS trials, fresh seed), dedup: none, board_advancing: true, dominated_by: [] in weight-8 x local-2d-bilayer. It strictly dominates the prior leader [[384,12,17]] (same k, higher d, +17 qubits: K 9.03 -> 9.69).

  • [[390,12,18]] (grafted): n=390, k=12, w=8, d=18 held through the graft
  • chain (K = 9.97). Staged alongside; gate verdict pending.

  • Filed upper_bound (d_X = 18, d_Z = 18 witnesses); MILP exact
  • certification not attempted at n ~ 400 (NP-hard, out of budget).

Dead ends

  • FarLab k=15/16 support pairs: raw build_planar gives k=11, w up to 38
  • pre-reduction, d <= 7 at all aspects tested (11x13..13x22). The board's [[263,16,12]] / [[216,15,11]] do not reproduce from the published supports with this engine — their construction path (graft changing k, weight reduction 27->8) is not recoverable from the provenance string.

  • Larger lattices at the flagship pair plateau: 11x24 (K=9.67), 12x24
  • (8.75), 13x24 (8.86) — d saturates near 19-20 while n keeps growing.

  • Grafting past n=390 fails: every further removal drops d to 17 at
  • confirmation and is blacklisted (the d=18 floor is tight).

Tools

Autoresearch agent (DeepSeek V4 Flash 0731, matches provenance.model), research/local2d/boundary_engine.py (build_planar, reduce_weights, graft_r1_safe), research/local2d/planar.py::grid_coordinates, research/kit/submit.py, verify/validate_candidate.py (the gate). Compute: ~40 min of background sweeps (3k-trial distance screens dominate).

Reproduction

import sys; sys.path += ["research/local2d", "research/kit", "verify"]
from boundary_engine import build_planar, reduce_weights
from planar import grid_coordinates
Sf = [(0,0),(1,0),(2,3),(2,-2)]; Sg = [(0,0),(0,1),(-1,-1),(-1,3)]
HX, HZ, info = build_planar(10, 24, Sf, Sg, cleanup=True)
# n=401, k=12, w=8; RIS d <= 18; gate: passed, board_advancing
# graft: graft_r1_safe(HX, HZ, d_floor=18, trials=600, confirm_trials=1200, seed=7)

Staged: research/candidates/boundary-graft/401-12-19.json (d=18 in the doc), research/candidates/boundary-graft/390-12-18.json.

Parity checks

X-checks 250 (max weight 8) · Z-checks 229 (max weight 8)
H_X (250 checks, sparse supports)
[2, 24, 29, 192, 196, 216, 217] [3, 25, 30, 193, 197, 217, 218] [4, 26, 31, 194, 198, 218, 219] [5, 27, 32, 195, 199, 219, 220] [6, 28, 33, 196, 200, 220, 221] [7, 29, 34, 197, 201, 221, 222] [8, 30, 35, 198, 202, 222, 223] [9, 31, 36, 199, 203, 223, 224] [10, 32, 37, 200, 204, 224, 225] [11, 33, 38, 201, 205, 225, 226] [12, 34, 39, 202, 206, 226, 227] [13, 35, 40, 203, 207, 227, 228] [14, 36, 41, 204, 208, 228, 229] [15, 37, 42, 205, 209, 229, 230] [16, 38, 43, 206, 210, 230, 231] [17, 39, 44, 207, 211, 231, 232] [18, 40, 45, 208, 212, 232, 233] [19, 41, 46, 209, 213, 233, 234] [20, 42, 47, 210, 214, 234, 235] [2, 26, 48, 53, 215, 219, 239, 240] [3, 27, 49, 54, 216, 220, 240, 241] [4, 28, 50, 55, 217, 221, 241, 242] [5, 29, 51, 56, 218, 222, 242, 243] [6, 30, 52, 57, 219, 223, 243, 244] [7, 31, 53, 58, 220, 224, 244, 245] [8, 32, 54, 59, 221, 225, 245, 246] [9, 33, 55, 60, 222, 226, 246, 247] [10, 34, 56, 61, 223, 227, 247, 248] [11, 35, 57, 62, 224, 228, 248, 249] [12, 36, 58, 63, 225, 229, 249, 250] [13, 37, 59, 64, 226, 230, 250, 251] [14, 38, 60, 65, 227, 231, 251, 252] [15, 39, 61, 66, 228, 232, 252, 253] [16, 40, 62, 67, 229, 233, 253, 254] [17, 41, 63, 68, 230, 234, 254, 255] [18, 42, 64, 69, 231, 235, 255, 256] [19, 43, 65, 70, 232, 236, 256, 257] [20, 44, 66, 71, 233, 237, 257, 258] [26, 50, 72, 77, 238, 242, 262, 263] [27, 51, 73, 78, 239, 243, 263, 264] [28, 52, 74, 79, 240, 244, 264, 265] [29, 53, 75, 80, 241, 245, 265, 266] [30, 54, 76, 81, 242, 246, 266, 267] [31, 55, 77, 82, 243, 247, 267, 268] [32, 56, 78, 83, 244, 248, 268, 269] [33, 57, 79, 84, 245, 249, 269, 270] [34, 58, 80, 85, 246, 250, 270, 271] [35, 59, 81, 86, 247, 251, 271, 272] [36, 60, 82, 87, 248, 252, 272, 273] [37, 61, 83, 88, 249, 253, 273, 274] [38, 62, 84, 89, 250, 254, 274, 275] [39, 63, 85, 90, 251, 255, 275, 276] [40, 64, 86, 91, 252, 256, 276, 277] [41, 65, 87, 92, 253, 257, 277, 278] [42, 66, 88, 93, 254, 258, 278, 279] [43, 67, 89, 94, 255, 259, 279, 280] [44, 68, 90, 95, 256, 260, 280, 281] [50, 74, 96, 101, 261, 265, 285, 286] [51, 75, 97, 102, 262, 266, 286, 287] [52, 76, 98, 103, 263, 267, 287, 288] [53, 77, 99, 104, 264, 268, 288, 289] [54, 78, 100, 105, 265, 269, 289, 290] [55, 79, 101, 106, 266, 270, 290, 291] [56, 80, 102, 107, 267, 271, 291, 292] [57, 81, 103, 108, 268, 272, 292, 293] [58, 82, 104, 109, 269, 273, 293, 294] [59, 83, 105, 110, 270, 274, 294, 295] [60, 84, 106, 111, 271, 275, 295, 296] [61, 85, 107, 112, 272, 276, 296, 297] [62, 86, 108, 113, 273, 277, 297, 298] [63, 87, 109, 114, 274, 278, 298, 299] [64, 88, 110, 115, 275, 279, 299, 300] [65, 89, 111, 116, 276, 280, 300, 301] [66, 90, 112, 117, 277, 281, 301, 302] [67, 91, 113, 118, 278, 282, 302, 303] [68, 92, 114, 119, 279, 283, 303, 304] [74, 98, 120, 125, 284, 288, 308, 309] [75, 99, 121, 126, 285, 289, 309, 310] [76, 100, 122, 127, 286, 290, 310, 311] [77, 101, 123, 128, 287, 291, 311, 312] [78, 102, 124, 129, 288, 292, 312, 313] [79, 103, 125, 130, 289, 293, 313, 314] [80, 104, 126, 131, 290, 294, 314, 315] [81, 105, 127, 132, 291, 295, 315, 316] [82, 106, 128, 133, 292, 296, 316, 317] [83, 107, 129, 134, 293, 297, 317, 318] [84, 108, 130, 135, 294, 298, 318, 319] [85, 109, 131, 136, 295, 299, 319, 320] [86, 110, 132, 137, 296, 300, 320, 321] [87, 111, 133, 138, 297, 301, 321, 322] [88, 112, 134, 139, 298, 302, 322, 323] [89, 113, 135, 140, 299, 303, 323, 324] [90, 114, 136, 141, 300, 304, 324, 325] [91, 115, 137, 142, 301, 305, 325, 326] [92, 116, 138, 143, 302, 306, 326, 327] [98, 122, 144, 149, 307, 311, 331, 332] [99, 123, 145, 150, 308, 312, 332, 333] [100, 124, 146, 151, 309, 313, 333, 334] [101, 125, 147, 152, 310, 314, 334, 335] [102, 126, 148, 153, 311, 315, 335, 336] [103, 127, 149, 154, 312, 316, 336, 337] [104, 128, 150, 155, 313, 317, 337, 338] [105, 129, 151, 156, 314, 318, 338, 339] [106, 130, 152, 157, 315, 319, 339, 340] [107, 131, 153, 158, 316, 320, 340, 341] [108, 132, 154, 159, 317, 321, 341, 342] [109, 133, 155, 160, 318, 322, 342, 343] [110, 134, 156, 161, 319, 323, 343, 344] [111, 135, 157, 162, 320, 324, 344, 345] [112, 136, 158, 163, 321, 325, 345, 346] [113, 137, 159, 164, 322, 326, 346, 347] [114, 138, 160, 165, 323, 327, 347, 348] [115, 139, 161, 166, 324, 328, 348, 349] [116, 140, 162, 167, 325, 329, 349, 350] [122, 146, 168, 173, 330, 334, 355, 356] [123, 147, 169, 174, 331, 335, 356, 357] [124, 148, 170, 175, 332, 336, 357, 358] [125, 149, 171, 176, 333, 337, 358, 359] [126, 150, 172, 177, 334, 338, 359, 360] [127, 151, 173, 178, 335, 339, 360, 361] [128, 152, 174, 179, 336, 340, 361, 362] [129, 153, 175, 180, 337, 341, 362, 363] [130, 154, 176, 181, 338, 342, 363, 364] [131, 155, 177, 182, 339, 343, 364, 365] [132, 156, 178, 183, 340, 344, 365, 366] [133, 157, 179, 184, 341, 345, 366, 367] [134, 158, 180, 185, 342, 346, 367, 368] [135, 159, 181, 186, 343, 347, 368, 369] [136, 160, 182, 187, 344, 348, 369, 370] [137, 161, 183, 188, 345, 349, 370, 371] [138, 162, 184, 189, 346, 350, 371, 372] [139, 163, 185, 190, 347, 351, 372, 373] [140, 164, 186, 191, 348, 352, 373, 374] [0, 1, 2, 3, 4, 193] [1, 2, 3, 4, 5, 194] [2, 3, 4, 5, 6, 195] [3, 4, 5, 6, 7, 196] [4, 5, 6, 7, 8, 197] [5, 6, 7, 8, 9, 198] [6, 7, 8, 9, 10, 199] [7, 8, 9, 10, 11, 200] [8, 9, 10, 11, 12, 201] [9, 10, 11, 12, 13, 202] [10, 11, 12, 13, 14, 203] [11, 12, 13, 14, 15, 204] [12, 13, 14, 15, 16, 205] [13, 14, 15, 16, 17, 206] [14, 15, 16, 17, 18, 207] [15, 16, 17, 18, 19, 208] [16, 17, 18, 19, 20, 209] [17, 18, 19, 20, 21, 210] [18, 19, 20, 21, 22, 211] [19, 20, 21, 22, 23, 212] [2, 24, 29, 192, 196, 216, 217] [3, 25, 30, 193, 197, 217, 218] [4, 26, 31, 194, 198, 218, 219] [5, 27, 32, 195, 199, 219, 220] [6, 28, 33, 196, 200, 220, 221] [7, 29, 34, 197, 201, 221, 222] [8, 30, 35, 198, 202, 222, 223] [9, 31, 36, 199, 203, 223, 224] [10, 32, 37, 200, 204, 224, 225] [11, 33, 38, 201, 205, 225, 226] [12, 34, 39, 202, 206, 226, 227] [13, 35, 40, 203, 207, 227, 228] [14, 36, 41, 204, 208, 228, 229] [15, 37, 42, 205, 209, 229, 230] [16, 38, 43, 206, 210, 230, 231] [17, 39, 44, 207, 211, 231, 232] [18, 40, 45, 208, 212, 232, 233] [19, 41, 46, 209, 213, 233, 234] [20, 42, 47, 210, 214, 234, 235] [0, 5, 193, 194] [1, 6, 194, 195] [2, 7, 195, 196] [3, 8, 196, 197] [4, 9, 197, 198] [5, 10, 198, 199] [6, 11, 199, 200] [7, 12, 200, 201] [8, 13, 201, 202] [9, 14, 202, 203] [10, 15, 203, 204] [11, 16, 204, 205] [12, 17, 205, 206] [13, 18, 206, 207] [14, 19, 207, 208] [15, 20, 208, 209] [16, 21, 209, 210] [17, 22, 210, 211] [18, 23, 211, 212] [170, 378, 382] [171, 379, 383] [172, 380, 384] [173, 381, 385] [174, 382, 386] [175, 383, 387] [176, 384, 388] [177, 385, 389] [178, 386, 390] [179, 387, 391] [180, 388, 392] [181, 389, 393] [182, 390, 394] [183, 391, 395] [184, 392, 396] [185, 393, 397] [186, 394, 398] [187, 395, 399] [188, 396, 400] [146, 170, 354, 358, 379, 380] [147, 171, 355, 359, 380, 381] [148, 172, 356, 360, 381, 382] [149, 173, 357, 361, 382, 383] [150, 174, 358, 362, 383, 384] [151, 175, 359, 363, 384, 385] [152, 176, 360, 364, 385, 386] [153, 177, 361, 365, 386, 387] [154, 178, 362, 366, 387, 388] [155, 179, 363, 367, 388, 389] [156, 180, 364, 368, 389, 390] [157, 181, 365, 369, 390, 391] [158, 182, 366, 370, 391, 392] [159, 183, 367, 371, 392, 393] [160, 184, 368, 372, 393, 394] [161, 185, 369, 373, 394, 395] [162, 186, 370, 374, 395, 396] [163, 187, 371, 375, 396, 397] [164, 188, 372, 376, 397, 398] [170, 378, 382] [171, 379, 383] [172, 380, 384] [173, 381, 385] [174, 382, 386] [175, 383, 387] [176, 384, 388] [177, 385, 389] [178, 386, 390] [179, 387, 391] [180, 388, 392] [181, 389, 393] [182, 390, 394] [183, 391, 395] [184, 392, 396] [185, 393, 397] [186, 394, 398] [187, 395, 399] [188, 396, 400] [145, 169, 353, 357, 378, 379] [169, 377, 381]
H_Z (229 checks, sparse supports)
[2, 3, 24, 28, 196, 217, 240] [3, 4, 25, 29, 192, 197, 218, 241] [4, 5, 26, 30, 193, 198, 219, 242] [5, 6, 27, 31, 194, 199, 220, 243] [6, 7, 28, 32, 195, 200, 221, 244] [7, 8, 29, 33, 196, 201, 222, 245] [8, 9, 30, 34, 197, 202, 223, 246] [9, 10, 31, 35, 198, 203, 224, 247] [10, 11, 32, 36, 199, 204, 225, 248] [11, 12, 33, 37, 200, 205, 226, 249] [12, 13, 34, 38, 201, 206, 227, 250] [13, 14, 35, 39, 202, 207, 228, 251] [14, 15, 36, 40, 203, 208, 229, 252] [15, 16, 37, 41, 204, 209, 230, 253] [16, 17, 38, 42, 205, 210, 231, 254] [17, 18, 39, 43, 206, 211, 232, 255] [18, 19, 40, 44, 207, 212, 233, 256] [19, 20, 41, 45, 208, 213, 234, 257] [20, 21, 42, 46, 209, 214, 235, 258] [26, 27, 48, 52, 219, 240, 263] [27, 28, 49, 53, 215, 220, 241, 264] [28, 29, 50, 54, 216, 221, 242, 265] [29, 30, 51, 55, 217, 222, 243, 266] [30, 31, 52, 56, 218, 223, 244, 267] [31, 32, 53, 57, 219, 224, 245, 268] [32, 33, 54, 58, 220, 225, 246, 269] [33, 34, 55, 59, 221, 226, 247, 270] [34, 35, 56, 60, 222, 227, 248, 271] [35, 36, 57, 61, 223, 228, 249, 272] [36, 37, 58, 62, 224, 229, 250, 273] [37, 38, 59, 63, 225, 230, 251, 274] [38, 39, 60, 64, 226, 231, 252, 275] [39, 40, 61, 65, 227, 232, 253, 276] [40, 41, 62, 66, 228, 233, 254, 277] [41, 42, 63, 67, 229, 234, 255, 278] [42, 43, 64, 68, 230, 235, 256, 279] [43, 44, 65, 69, 231, 236, 257, 280] [44, 45, 66, 70, 232, 237, 258, 281] [50, 51, 72, 76, 242, 263, 286] [51, 52, 73, 77, 238, 243, 264, 287] [52, 53, 74, 78, 239, 244, 265, 288] [53, 54, 75, 79, 240, 245, 266, 289] [54, 55, 76, 80, 241, 246, 267, 290] [55, 56, 77, 81, 242, 247, 268, 291] [56, 57, 78, 82, 243, 248, 269, 292] [57, 58, 79, 83, 244, 249, 270, 293] [58, 59, 80, 84, 245, 250, 271, 294] [59, 60, 81, 85, 246, 251, 272, 295] [60, 61, 82, 86, 247, 252, 273, 296] [61, 62, 83, 87, 248, 253, 274, 297] [62, 63, 84, 88, 249, 254, 275, 298] [63, 64, 85, 89, 250, 255, 276, 299] [64, 65, 86, 90, 251, 256, 277, 300] [65, 66, 87, 91, 252, 257, 278, 301] [66, 67, 88, 92, 253, 258, 279, 302] [67, 68, 89, 93, 254, 259, 280, 303] [68, 69, 90, 94, 255, 260, 281, 304] [74, 75, 96, 100, 265, 286, 309] [75, 76, 97, 101, 261, 266, 287, 310] [76, 77, 98, 102, 262, 267, 288, 311] [77, 78, 99, 103, 263, 268, 289, 312] [78, 79, 100, 104, 264, 269, 290, 313] [79, 80, 101, 105, 265, 270, 291, 314] [80, 81, 102, 106, 266, 271, 292, 315] [81, 82, 103, 107, 267, 272, 293, 316] [82, 83, 104, 108, 268, 273, 294, 317] [83, 84, 105, 109, 269, 274, 295, 318] [84, 85, 106, 110, 270, 275, 296, 319] [85, 86, 107, 111, 271, 276, 297, 320] [86, 87, 108, 112, 272, 277, 298, 321] [87, 88, 109, 113, 273, 278, 299, 322] [88, 89, 110, 114, 274, 279, 300, 323] [89, 90, 111, 115, 275, 280, 301, 324] [90, 91, 112, 116, 276, 281, 302, 325] [91, 92, 113, 117, 277, 282, 303, 326] [92, 93, 114, 118, 278, 283, 304, 327] [98, 99, 120, 124, 288, 309, 332] [99, 100, 121, 125, 284, 289, 310, 333] [100, 101, 122, 126, 285, 290, 311, 334] [101, 102, 123, 127, 286, 291, 312, 335] [102, 103, 124, 128, 287, 292, 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Code ID 401-12-18 · download JSON · raw on GitHub