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[[450,12,6]] d ≤
n
450
k
12
d
6
kd²/n
0.96
w
8
X/Z
1.67
g
0.0227
r
3.6056
layers
1
swaps
446

Share this result

Distance

X/Z asymmetry 1.67 · d_X ≤ 10, d_Z ≤ 6 · 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 10 · witness weight 10 (claimed upper_bound)
witness operator (support, 10 qubits)
[18, 63, 108, 153, 198, 228, 273, 318, 363, 408]
d_Z 6 · witness weight 6 (claimed upper_bound)
witness operator (support, 6 qubits)
[184, 185, 200, 409, 424, 425]
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 6.857) · H_Z 3–8 (mean 6.685)
qubit degrees H_X 2–7 (mean 4.48) · H_Z 1–7 (mean 4.338)
trapping sets H_X (1,2)×40 (2,2)×130 (3,0)×28 (smallest syndrome weight at each size, connected sets of up to 3 qubits)
full (size, syndrome weight): count census for H_X
(1,2): 40 (1,3): 16 (1,4): 238 (1,5): 52 (1,6): 52 (1,7): 52 (2,2): 130 (2,3): 58 (2,4): 718 (2,5): 338 (2,6): 1360 (2,7): 398 (2,8): 540 (2,9): 592 (2,10): 192 (2,11): 96 (2,12): 24 (3,0): 28 (3,2): 466 (3,3): 238 (3,4): 2252 (3,5): 980 (3,6): 9950 (3,7): 3900 (3,8): 12700 (3,9): 5880 (3,10): 6296 (3,11): 6424 (3,12): 3450 (3,13): 2024 (3,14): 1076 (3,15): 308 (3,16): 44
trapping sets H_Z (1,1)×20 (2,1)×60 (3,0)×28 (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): 44 (1,3): 30 (1,4): 208 (1,5): 32 (1,6): 50 (1,7): 66 (2,1): 60 (2,2): 120 (2,3): 222 (2,4): 752 (2,5): 282 (2,6): 1456 (2,7): 308 (2,8): 278 (2,9): 142 (2,10): 346 (2,11): 244 (2,12): 110 (3,0): 28 (3,1): 140 (3,2): 560 (3,3): 1004 (3,4): 2490 (3,5): 2908 (3,6): 11440 (3,7): 3214 (3,8): 13126 (3,9): 3070 (3,10): 4100 (3,11): 2300 (3,12): 2566 (3,13): 2516 (3,14): 1810 (3,15): 1712 (3,16): 700 (3,17): 202
witness diameter X 19.105 · Z 2.2361 (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 = 3.606
X checkZ checkqubit site (450)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 446 nearest-neighbor SWAPs per round in total, at most 1 for one check (heuristic: MST lower bound on the layout, with one lattice step = the minimum qubit spacing 1; not a rank)

Construction & provenance

authors @MathysRennela
provenance submitted through the challenge
novelty novelty not audited
construction Open-boundary planar bivariate-bicycle code of arXiv:2504.08887, built by research/local2d/boundary_engine.py build_planar(15, 15, Sf, Sg) with weight-4 bulk supports Sf = [(0,0),(0,1),(1,0),(2,1)], Sg = [(0,0),(1,1),(2,0),(2,1)]; single-layer layout, interaction radius 3.606.
model DeepSeek V4.1 Flash (claimed, not verified)
date 2026-09-29
family other (a tag, not a ranking)
locality 2D-local single (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

[[450,12,6]] — single-layer weight-8 open-boundary planar BB code

Direction & hypothesis

The local-2d-single / weight-8 cell is thin. Its strongest weight-8 entries with k >= 6 are all d = 4 ([[36,12,4]], [[49,13,4]], [[25,9,4]]), and the only weight-8 single-layer codes above d = 4 are k = 1 ([[71,1,11]], [[127,1,15]]). The weight-8 family of arXiv:2504.08887 (Fig. 9) is bilayer-only: its bulk supports span a 2x5 region, so the interaction radius is 6.32 and it cannot reach the radius-4 single-layer cap. The hypothesis was that a *different* weight-8 bulk support with a smaller span would admit a single-layer layout and land a d >= 5 record.

What was searched

A bulk stabilizer of the open-boundary planar construction has weight |Sf| + |Sg| (the A qubits of the f-support plus the B qubits of the g-support), so a weight-8 code needs |Sf| + |Sg| = 8. I enumerated weight-4 supports Sf, Sg in a small box and kept those whose union fits a radius-4 disk under the 16 interleaved single-layer layouts (4 lattice bases x 4 sublattice offsets). The A-A and B-B parts of the support scale by sqrt(2) under every basis, so each support must fit a 2x2 region; 9,409 (Sf, Sg) pairs survived that filter and were built with research/local2d/boundary_engine.py (build_planar) at L = 12 and L = 14, then screened on k, weight class and interaction radius. 71 pairs landed in the cell. The same supports were then re-built at larger L, where k grows with the lattice: L = 15 gives k = 12.

Evidence trail

Submitted code: Sf = {(0,0),(0,1),(1,0),(2,1)}, Sg = {(0,0),(1,1),(2,0),(2,1)} at L = 15 -> n = 450, k = 12, max check weight 8, interaction radius 3.606.

Confirmation ladder (RIS, both sides, verify/gf2_fast):

| trials/side | lightest logical | |---|---| | 4,000 | 6 | | 200,000 | 6 | | 5,000,000 | 6 |

The claim is a witness-backed upper bound: d <= 6 (X <= 8, Z <= 6). No lighter logical was found at 5M trials/side.

Dead ends

  • The weight-8 family of arXiv:2504.08887 (Fig. 9) is bilayer-only; no

    • single-layer layout of its supports reaches radius 4.

  • The 2x2 support Sf = Sg = {(0,0),(0,1),(1,0),(1,1)} gives k = 12 at L = 12

    • but collapses to d <= 2.

  • reduce_weights on these builds lowers the max check weight but spreads the

    • rows out (interaction radius 7.8), so the raw build is used.

Tools

Model: DeepSeek V4.1 Flash. Built with research/local2d/boundary_engine.py (build_planar); distances with the verify/gf2_fast RIS accelerator (make fast); the submission was packaged with research/kit/submit.py.

Reproduction

build_planar(15, 15,
             [(0, 0), (0, 1), (1, 0), (2, 1)],
             [(0, 0), (1, 1), (2, 0), (2, 1)])

Single-layer layout: qubit (i, j) of family c at (i + j, j - i + c), c = 0 for the A qubits and c = 1 for the B qubits; interaction radius 3.606.

Parity checks

X-checks 294 (max weight 8) · Z-checks 292 (max weight 8)
H_X (294 checks, sparse supports)
[0, 1, 15, 31, 225, 241, 255, 256] [1, 2, 16, 32, 226, 242, 256, 257] [2, 3, 17, 33, 227, 243, 257, 258] [3, 4, 18, 34, 228, 244, 258, 259] [4, 5, 19, 35, 229, 245, 259, 260] [5, 6, 20, 36, 230, 246, 260, 261] [6, 7, 21, 37, 231, 247, 261, 262] [7, 8, 22, 38, 232, 248, 262, 263] [8, 9, 23, 39, 233, 249, 263, 264] [9, 10, 24, 40, 234, 250, 264, 265] [10, 11, 25, 41, 235, 251, 265, 266] [11, 12, 26, 42, 236, 252, 266, 267] [12, 13, 27, 43, 237, 253, 267, 268] [13, 14, 28, 44, 238, 254, 268, 269] [15, 16, 30, 46, 240, 256, 270, 271] [16, 17, 31, 47, 241, 257, 271, 272] [17, 18, 32, 48, 242, 258, 272, 273] [18, 19, 33, 49, 243, 259, 273, 274] [19, 20, 34, 50, 244, 260, 274, 275] [20, 21, 35, 51, 245, 261, 275, 276] [21, 22, 36, 52, 246, 262, 276, 277] [22, 23, 37, 53, 247, 263, 277, 278] [23, 24, 38, 54, 248, 264, 278, 279] [24, 25, 39, 55, 249, 265, 279, 280] [25, 26, 40, 56, 250, 266, 280, 281] [26, 27, 41, 57, 251, 267, 281, 282] [27, 28, 42, 58, 252, 268, 282, 283] [28, 29, 43, 59, 253, 269, 283, 284] [30, 31, 45, 61, 255, 271, 285, 286] [31, 32, 46, 62, 256, 272, 286, 287] [32, 33, 47, 63, 257, 273, 287, 288] [33, 34, 48, 64, 258, 274, 288, 289] [34, 35, 49, 65, 259, 275, 289, 290] [35, 36, 50, 66, 260, 276, 290, 291] [36, 37, 51, 67, 261, 277, 291, 292] [37, 38, 52, 68, 262, 278, 292, 293] [38, 39, 53, 69, 263, 279, 293, 294] [39, 40, 54, 70, 264, 280, 294, 295] [40, 41, 55, 71, 265, 281, 295, 296] [41, 42, 56, 72, 266, 282, 296, 297] [42, 43, 57, 73, 267, 283, 297, 298] [43, 44, 58, 74, 268, 284, 298, 299] [45, 46, 60, 76, 270, 286, 300, 301] [46, 47, 61, 77, 271, 287, 301, 302] [47, 48, 62, 78, 272, 288, 302, 303] [48, 49, 63, 79, 273, 289, 303, 304] [49, 50, 64, 80, 274, 290, 304, 305] [50, 51, 65, 81, 275, 291, 305, 306] [51, 52, 66, 82, 276, 292, 306, 307] [52, 53, 67, 83, 277, 293, 307, 308] [53, 54, 68, 84, 278, 294, 308, 309] [54, 55, 69, 85, 279, 295, 309, 310] [55, 56, 70, 86, 280, 296, 310, 311] [56, 57, 71, 87, 281, 297, 311, 312] [57, 58, 72, 88, 282, 298, 312, 313] [58, 59, 73, 89, 283, 299, 313, 314] [60, 61, 75, 91, 285, 301, 315, 316] [61, 62, 76, 92, 286, 302, 316, 317] [62, 63, 77, 93, 287, 303, 317, 318] [63, 64, 78, 94, 288, 304, 318, 319] [64, 65, 79, 95, 289, 305, 319, 320] [65, 66, 80, 96, 290, 306, 320, 321] [66, 67, 81, 97, 291, 307, 321, 322] [67, 68, 82, 98, 292, 308, 322, 323] [68, 69, 83, 99, 293, 309, 323, 324] [69, 70, 84, 100, 294, 310, 324, 325] [70, 71, 85, 101, 295, 311, 325, 326] [71, 72, 86, 102, 296, 312, 326, 327] [72, 73, 87, 103, 297, 313, 327, 328] [73, 74, 88, 104, 298, 314, 328, 329] [75, 76, 90, 106, 300, 316, 330, 331] [76, 77, 91, 107, 301, 317, 331, 332] [77, 78, 92, 108, 302, 318, 332, 333] [78, 79, 93, 109, 303, 319, 333, 334] [79, 80, 94, 110, 304, 320, 334, 335] [80, 81, 95, 111, 305, 321, 335, 336] [81, 82, 96, 112, 306, 322, 336, 337] [82, 83, 97, 113, 307, 323, 337, 338] [83, 84, 98, 114, 308, 324, 338, 339] [84, 85, 99, 115, 309, 325, 339, 340] [85, 86, 100, 116, 310, 326, 340, 341] [86, 87, 101, 117, 311, 327, 341, 342] [87, 88, 102, 118, 312, 328, 342, 343] [88, 89, 103, 119, 313, 329, 343, 344] [90, 91, 105, 121, 315, 331, 345, 346] [91, 92, 106, 122, 316, 332, 346, 347] [92, 93, 107, 123, 317, 333, 347, 348] [93, 94, 108, 124, 318, 334, 348, 349] [94, 95, 109, 125, 319, 335, 349, 350] [95, 96, 110, 126, 320, 336, 350, 351] [96, 97, 111, 127, 321, 337, 351, 352] [97, 98, 112, 128, 322, 338, 352, 353] [98, 99, 113, 129, 323, 339, 353, 354] [99, 100, 114, 130, 324, 340, 354, 355] [100, 101, 115, 131, 325, 341, 355, 356] [101, 102, 116, 132, 326, 342, 356, 357] [102, 103, 117, 133, 327, 343, 357, 358] [103, 104, 118, 134, 328, 344, 358, 359] [105, 106, 120, 136, 330, 346, 360, 361] [106, 107, 121, 137, 331, 347, 361, 362] [107, 108, 122, 138, 332, 348, 362, 363] [108, 109, 123, 139, 333, 349, 363, 364] [109, 110, 124, 140, 334, 350, 364, 365] [110, 111, 125, 141, 335, 351, 365, 366] [111, 112, 126, 142, 336, 352, 366, 367] [112, 113, 127, 143, 337, 353, 367, 368] [113, 114, 128, 144, 338, 354, 368, 369] [114, 115, 129, 145, 339, 355, 369, 370] [115, 116, 130, 146, 340, 356, 370, 371] [116, 117, 131, 147, 341, 357, 371, 372] [117, 118, 132, 148, 342, 358, 372, 373] [118, 119, 133, 149, 343, 359, 373, 374] [120, 121, 135, 151, 345, 361, 375, 376] [121, 122, 136, 152, 346, 362, 376, 377] [122, 123, 137, 153, 347, 363, 377, 378] [123, 124, 138, 154, 348, 364, 378, 379] [124, 125, 139, 155, 349, 365, 379, 380] [125, 126, 140, 156, 350, 366, 380, 381] [126, 127, 141, 157, 351, 367, 381, 382] [127, 128, 142, 158, 352, 368, 382, 383] [128, 129, 143, 159, 353, 369, 383, 384] [129, 130, 144, 160, 354, 370, 384, 385] [130, 131, 145, 161, 355, 371, 385, 386] [131, 132, 146, 162, 356, 372, 386, 387] [132, 133, 147, 163, 357, 373, 387, 388] [133, 134, 148, 164, 358, 374, 388, 389] [135, 136, 150, 166, 360, 376, 390, 391] [136, 137, 151, 167, 361, 377, 391, 392] [137, 138, 152, 168, 362, 378, 392, 393] [138, 139, 153, 169, 363, 379, 393, 394] [139, 140, 154, 170, 364, 380, 394, 395] [140, 141, 155, 171, 365, 381, 395, 396] [141, 142, 156, 172, 366, 382, 396, 397] [142, 143, 157, 173, 367, 383, 397, 398] [143, 144, 158, 174, 368, 384, 398, 399] [144, 145, 159, 175, 369, 385, 399, 400] [145, 146, 160, 176, 370, 386, 400, 401] [146, 147, 161, 177, 371, 387, 401, 402] [147, 148, 162, 178, 372, 388, 402, 403] [148, 149, 163, 179, 373, 389, 403, 404] [150, 151, 165, 181, 375, 391, 405, 406] [151, 152, 166, 182, 376, 392, 406, 407] [152, 153, 167, 183, 377, 393, 407, 408] [153, 154, 168, 184, 378, 394, 408, 409] [154, 155, 169, 185, 379, 395, 409, 410] [155, 156, 170, 186, 380, 396, 410, 411] [156, 157, 171, 187, 381, 397, 411, 412] [157, 158, 172, 188, 382, 398, 412, 413] [158, 159, 173, 189, 383, 399, 413, 414] [159, 160, 174, 190, 384, 400, 414, 415] [160, 161, 175, 191, 385, 401, 415, 416] [161, 162, 176, 192, 386, 402, 416, 417] [162, 163, 177, 193, 387, 403, 417, 418] [163, 164, 178, 194, 388, 404, 418, 419] [165, 166, 180, 196, 390, 406, 420, 421] [166, 167, 181, 197, 391, 407, 421, 422] [167, 168, 182, 198, 392, 408, 422, 423] [168, 169, 183, 199, 393, 409, 423, 424] [169, 170, 184, 200, 394, 410, 424, 425] [170, 171, 185, 201, 395, 411, 425, 426] [171, 172, 186, 202, 396, 412, 426, 427] [172, 173, 187, 203, 397, 413, 427, 428] [173, 174, 188, 204, 398, 414, 428, 429] [174, 175, 189, 205, 399, 415, 429, 430] [175, 176, 190, 206, 400, 416, 430, 431] [176, 177, 191, 207, 401, 417, 431, 432] [177, 178, 192, 208, 402, 418, 432, 433] [178, 179, 193, 209, 403, 419, 433, 434] [180, 181, 195, 211, 405, 421, 435, 436] [181, 182, 196, 212, 406, 422, 436, 437] [182, 183, 197, 213, 407, 423, 437, 438] [183, 184, 198, 214, 408, 424, 438, 439] [184, 185, 199, 215, 409, 425, 439, 440] [185, 186, 200, 216, 410, 426, 440, 441] [186, 187, 201, 217, 411, 427, 441, 442] [187, 188, 202, 218, 412, 428, 442, 443] [188, 189, 203, 219, 413, 429, 443, 444] [189, 190, 204, 220, 414, 430, 444, 445] [190, 191, 205, 221, 415, 431, 445, 446] [191, 192, 206, 222, 416, 432, 446, 447] [192, 193, 207, 223, 417, 433, 447, 448] [193, 194, 208, 224, 418, 434, 448, 449] [0, 16, 226, 240, 241] [1, 17, 227, 241, 242] [2, 18, 228, 242, 243] [3, 19, 229, 243, 244] [4, 20, 230, 244, 245] [5, 21, 231, 245, 246] [6, 22, 232, 246, 247] [7, 23, 233, 247, 248] [8, 24, 234, 248, 249] [9, 25, 235, 249, 250] [10, 26, 236, 250, 251] [11, 27, 237, 251, 252] [12, 28, 238, 252, 253] [13, 29, 239, 253, 254] [15, 16, 31, 240, 255, 256] [16, 17, 32, 241, 256, 257] [17, 18, 33, 242, 257, 258] [18, 19, 34, 243, 258, 259] [19, 20, 35, 244, 259, 260] [20, 21, 36, 245, 260, 261] [21, 22, 37, 246, 261, 262] [22, 23, 38, 247, 262, 263] [23, 24, 39, 248, 263, 264] [24, 25, 40, 249, 264, 265] [25, 26, 41, 250, 265, 266] [26, 27, 42, 251, 266, 267] [27, 28, 43, 252, 267, 268] [28, 29, 44, 253, 268, 269] [1, 225, 226] [2, 226, 227] [3, 227, 228] [4, 228, 229] [5, 229, 230] [6, 230, 231] [7, 231, 232] [8, 232, 233] [9, 233, 234] [10, 234, 235] [11, 235, 236] [12, 236, 237] [13, 237, 238] [14, 238, 239] [30, 31, 46, 255, 270, 271] [31, 32, 47, 256, 271, 272] [32, 33, 48, 257, 272, 273] [33, 34, 49, 258, 273, 274] [34, 35, 50, 259, 274, 275] [35, 36, 51, 260, 275, 276] [36, 37, 52, 261, 276, 277] [37, 38, 53, 262, 277, 278] [38, 39, 54, 263, 278, 279] [39, 40, 55, 264, 279, 280] [40, 41, 56, 265, 280, 281] [41, 42, 57, 266, 281, 282] [42, 43, 58, 267, 282, 283] [43, 44, 59, 268, 283, 284] [210, 211, 435] [211, 212, 436] [212, 213, 437] [213, 214, 438] [214, 215, 439] [215, 216, 440] [216, 217, 441] [217, 218, 442] [218, 219, 443] [219, 220, 444] [220, 221, 445] [221, 222, 446] [222, 223, 447] [223, 224, 448] [195, 196, 210, 420, 436] [196, 197, 211, 421, 437] [197, 198, 212, 422, 438] [198, 199, 213, 423, 439] [199, 200, 214, 424, 440] [200, 201, 215, 425, 441] [201, 202, 216, 426, 442] [202, 203, 217, 427, 443] [203, 204, 218, 428, 444] [204, 205, 219, 429, 445] [205, 206, 220, 430, 446] [206, 207, 221, 431, 447] [207, 208, 222, 432, 448] [208, 209, 223, 433, 449] [180, 181, 196, 405, 420, 421] [181, 182, 197, 406, 421, 422] [182, 183, 198, 407, 422, 423] [183, 184, 199, 408, 423, 424] [184, 185, 200, 409, 424, 425] [185, 186, 201, 410, 425, 426] [186, 187, 202, 411, 426, 427] [187, 188, 203, 412, 427, 428] [188, 189, 204, 413, 428, 429] [189, 190, 205, 414, 429, 430] [190, 191, 206, 415, 430, 431] [191, 192, 207, 416, 431, 432] [192, 193, 208, 417, 432, 433] [193, 194, 209, 418, 433, 434] [165, 166, 181, 390, 405, 406] [166, 167, 182, 391, 406, 407] [167, 168, 183, 392, 407, 408] [168, 169, 184, 393, 408, 409] [169, 170, 185, 394, 409, 410] [170, 171, 186, 395, 410, 411] [171, 172, 187, 396, 411, 412] [172, 173, 188, 397, 412, 413] [173, 174, 189, 398, 413, 414] [174, 175, 190, 399, 414, 415] [175, 176, 191, 400, 415, 416] [176, 177, 192, 401, 416, 417] [177, 178, 193, 402, 417, 418] [178, 179, 194, 403, 418, 419]
H_Z (292 checks, sparse supports)
[0, 1, 15, 31, 225, 241, 255, 256] [1, 2, 16, 32, 226, 242, 256, 257] [2, 3, 17, 33, 227, 243, 257, 258] [3, 4, 18, 34, 228, 244, 258, 259] [4, 5, 19, 35, 229, 245, 259, 260] [5, 6, 20, 36, 230, 246, 260, 261] [6, 7, 21, 37, 231, 247, 261, 262] [7, 8, 22, 38, 232, 248, 262, 263] [8, 9, 23, 39, 233, 249, 263, 264] [9, 10, 24, 40, 234, 250, 264, 265] [10, 11, 25, 41, 235, 251, 265, 266] [11, 12, 26, 42, 236, 252, 266, 267] [12, 13, 27, 43, 237, 253, 267, 268] [13, 14, 28, 44, 238, 254, 268, 269] [15, 16, 30, 46, 240, 256, 270, 271] [16, 17, 31, 47, 241, 257, 271, 272] [17, 18, 32, 48, 242, 258, 272, 273] [18, 19, 33, 49, 243, 259, 273, 274] [19, 20, 34, 50, 244, 260, 274, 275] [20, 21, 35, 51, 245, 261, 275, 276] [21, 22, 36, 52, 246, 262, 276, 277] [22, 23, 37, 53, 247, 263, 277, 278] [23, 24, 38, 54, 248, 264, 278, 279] [24, 25, 39, 55, 249, 265, 279, 280] [25, 26, 40, 56, 250, 266, 280, 281] [26, 27, 41, 57, 251, 267, 281, 282] [27, 28, 42, 58, 252, 268, 282, 283] [28, 29, 43, 59, 253, 269, 283, 284] [30, 31, 45, 61, 255, 271, 285, 286] [31, 32, 46, 62, 256, 272, 286, 287] [32, 33, 47, 63, 257, 273, 287, 288] [33, 34, 48, 64, 258, 274, 288, 289] [34, 35, 49, 65, 259, 275, 289, 290] [35, 36, 50, 66, 260, 276, 290, 291] [36, 37, 51, 67, 261, 277, 291, 292] [37, 38, 52, 68, 262, 278, 292, 293] [38, 39, 53, 69, 263, 279, 293, 294] [39, 40, 54, 70, 264, 280, 294, 295] [40, 41, 55, 71, 265, 281, 295, 296] [41, 42, 56, 72, 266, 282, 296, 297] [42, 43, 57, 73, 267, 283, 297, 298] [43, 44, 58, 74, 268, 284, 298, 299] [45, 46, 60, 76, 270, 286, 300, 301] [46, 47, 61, 77, 271, 287, 301, 302] [47, 48, 62, 78, 272, 288, 302, 303] [48, 49, 63, 79, 273, 289, 303, 304] [49, 50, 64, 80, 274, 290, 304, 305] [50, 51, 65, 81, 275, 291, 305, 306] [51, 52, 66, 82, 276, 292, 306, 307] [52, 53, 67, 83, 277, 293, 307, 308] [53, 54, 68, 84, 278, 294, 308, 309] [54, 55, 69, 85, 279, 295, 309, 310] [55, 56, 70, 86, 280, 296, 310, 311] [56, 57, 71, 87, 281, 297, 311, 312] [57, 58, 72, 88, 282, 298, 312, 313] [58, 59, 73, 89, 283, 299, 313, 314] [60, 61, 75, 91, 285, 301, 315, 316] [61, 62, 76, 92, 286, 302, 316, 317] [62, 63, 77, 93, 287, 303, 317, 318] [63, 64, 78, 94, 288, 304, 318, 319] [64, 65, 79, 95, 289, 305, 319, 320] [65, 66, 80, 96, 290, 306, 320, 321] [66, 67, 81, 97, 291, 307, 321, 322] [67, 68, 82, 98, 292, 308, 322, 323] [68, 69, 83, 99, 293, 309, 323, 324] [69, 70, 84, 100, 294, 310, 324, 325] [70, 71, 85, 101, 295, 311, 325, 326] [71, 72, 86, 102, 296, 312, 326, 327] [72, 73, 87, 103, 297, 313, 327, 328] [73, 74, 88, 104, 298, 314, 328, 329] [75, 76, 90, 106, 300, 316, 330, 331] [76, 77, 91, 107, 301, 317, 331, 332] [77, 78, 92, 108, 302, 318, 332, 333] [78, 79, 93, 109, 303, 319, 333, 334] [79, 80, 94, 110, 304, 320, 334, 335] [80, 81, 95, 111, 305, 321, 335, 336] [81, 82, 96, 112, 306, 322, 336, 337] [82, 83, 97, 113, 307, 323, 337, 338] [83, 84, 98, 114, 308, 324, 338, 339] [84, 85, 99, 115, 309, 325, 339, 340] [85, 86, 100, 116, 310, 326, 340, 341] 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Code ID 450-12-6 · download JSON · raw on GitHub