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[[254,44,24]] d ≤
n
254
k
44
d
24
kd²/n
99.78
w
16

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Distance

d_X 25 · witness weight 25 (claimed upper_bound)
witness operator (support, 25 qubits)
[5, 8, 10, 13, 21, 34, 44, 48, 57, 77, 80, 91, 95, 120, 132, 137, 141, 162, 171, 172, 177, 179, 183, 243, 244]
d_Z 24 · witness weight 24 (claimed upper_bound)
witness operator (support, 24 qubits)
[0, 23, 32, 34, 64, 67, 78, 82, 83, 90, 102, 112, 141, 150, 162, 171, 182, 196, 205, 217, 239, 248, 251, 252]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Construction & provenance

authors @vprusso
provenance submitted through the challenge
novelty novelty not audited
construction Generalized bicycle (2BGA on Z_127), circulant size 127, a(x) = 1 + x17 + x29 + x34 + x36 + x49 + x64 + x72, b(x) = 1 + x5 + x14 + x48 + x85 + x93 + x95 + x114. Weight-8 supports designed as multiples of a degree-22 divisor g of x127 - 1 (g = (x-1) times three degree-7 irreducibles; k = 2 deg g = 44). Check weight 16 (weight-9plus cell).
model Claude Claude Fable 5 (claimed, not verified)
date 2026-07-14
notes Support-8 GB campaign 20260714 wave 2 (divisor design over Z_127, same degree-22 divisor family as [[254,44,21]]; weight-8 supports trade check weight 16 for distance in the weight-9plus cell). Screen 2000 RIS trials over 1165 candidate pairs; refine 60000; ladder 1000000 -> d 24; claimed d = lightest logical witnessed (gf2_fast RIS). Independent adversarial re-check: 4 fresh seeds (950001-950004) x 1.5M trials, lightest logical 24 each time, nothing lighter. Independent BP+OSD syndrome-decoder cross-check at 300000 trials corroborated d=24, nothing lighter (60000 trials was inconclusive: too few to reach weight 24). Upper bound only. Lit-check 2026-07-14: no published [[254,44,24]] found; closest published n=254 GB neighbor [[254,28,14]] (arXiv:1904.02703); weight-16 supports are outside the published W<=8 enumerations; novelty vs literature unverified.
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

no research note was staged with this submission — notes are requested for new submissions (notes/README.md)

Parity checks

X-checks 127 · Z-checks 127
H_X (127 checks, sparse supports)
[0, 17, 29, 34, 36, 49, 64, 72, 127, 132, 141, 175, 212, 220, 222, 241] [1, 18, 30, 35, 37, 50, 65, 73, 128, 133, 142, 176, 213, 221, 223, 242] [2, 19, 31, 36, 38, 51, 66, 74, 129, 134, 143, 177, 214, 222, 224, 243] [3, 20, 32, 37, 39, 52, 67, 75, 130, 135, 144, 178, 215, 223, 225, 244] [4, 21, 33, 38, 40, 53, 68, 76, 131, 136, 145, 179, 216, 224, 226, 245] [5, 22, 34, 39, 41, 54, 69, 77, 132, 137, 146, 180, 217, 225, 227, 246] [6, 23, 35, 40, 42, 55, 70, 78, 133, 138, 147, 181, 218, 226, 228, 247] [7, 24, 36, 41, 43, 56, 71, 79, 134, 139, 148, 182, 219, 227, 229, 248] [8, 25, 37, 42, 44, 57, 72, 80, 135, 140, 149, 183, 220, 228, 230, 249] [9, 26, 38, 43, 45, 58, 73, 81, 136, 141, 150, 184, 221, 229, 231, 250] [10, 27, 39, 44, 46, 59, 74, 82, 137, 142, 151, 185, 222, 230, 232, 251] [11, 28, 40, 45, 47, 60, 75, 83, 138, 143, 152, 186, 223, 231, 233, 252] [12, 29, 41, 46, 48, 61, 76, 84, 139, 144, 153, 187, 224, 232, 234, 253] [13, 30, 42, 47, 49, 62, 77, 85, 127, 140, 145, 154, 188, 225, 233, 235] [14, 31, 43, 48, 50, 63, 78, 86, 128, 141, 146, 155, 189, 226, 234, 236] [15, 32, 44, 49, 51, 64, 79, 87, 129, 142, 147, 156, 190, 227, 235, 237] [16, 33, 45, 50, 52, 65, 80, 88, 130, 143, 148, 157, 191, 228, 236, 238] [17, 34, 46, 51, 53, 66, 81, 89, 131, 144, 149, 158, 192, 229, 237, 239] [18, 35, 47, 52, 54, 67, 82, 90, 132, 145, 150, 159, 193, 230, 238, 240] [19, 36, 48, 53, 55, 68, 83, 91, 133, 146, 151, 160, 194, 231, 239, 241] [20, 37, 49, 54, 56, 69, 84, 92, 134, 147, 152, 161, 195, 232, 240, 242] [21, 38, 50, 55, 57, 70, 85, 93, 135, 148, 153, 162, 196, 233, 241, 243] [22, 39, 51, 56, 58, 71, 86, 94, 136, 149, 154, 163, 197, 234, 242, 244] [23, 40, 52, 57, 59, 72, 87, 95, 137, 150, 155, 164, 198, 235, 243, 245] [24, 41, 53, 58, 60, 73, 88, 96, 138, 151, 156, 165, 199, 236, 244, 246] [25, 42, 54, 59, 61, 74, 89, 97, 139, 152, 157, 166, 200, 237, 245, 247] [26, 43, 55, 60, 62, 75, 90, 98, 140, 153, 158, 167, 201, 238, 246, 248] [27, 44, 56, 61, 63, 76, 91, 99, 141, 154, 159, 168, 202, 239, 247, 249] [28, 45, 57, 62, 64, 77, 92, 100, 142, 155, 160, 169, 203, 240, 248, 250] [29, 46, 58, 63, 65, 78, 93, 101, 143, 156, 161, 170, 204, 241, 249, 251] [30, 47, 59, 64, 66, 79, 94, 102, 144, 157, 162, 171, 205, 242, 250, 252] [31, 48, 60, 65, 67, 80, 95, 103, 145, 158, 163, 172, 206, 243, 251, 253] [32, 49, 61, 66, 68, 81, 96, 104, 127, 146, 159, 164, 173, 207, 244, 252] [33, 50, 62, 67, 69, 82, 97, 105, 128, 147, 160, 165, 174, 208, 245, 253] [34, 51, 63, 68, 70, 83, 98, 106, 127, 129, 148, 161, 166, 175, 209, 246] [35, 52, 64, 69, 71, 84, 99, 107, 128, 130, 149, 162, 167, 176, 210, 247] [36, 53, 65, 70, 72, 85, 100, 108, 129, 131, 150, 163, 168, 177, 211, 248] [37, 54, 66, 71, 73, 86, 101, 109, 130, 132, 151, 164, 169, 178, 212, 249] [38, 55, 67, 72, 74, 87, 102, 110, 131, 133, 152, 165, 170, 179, 213, 250] [39, 56, 68, 73, 75, 88, 103, 111, 132, 134, 153, 166, 171, 180, 214, 251] [40, 57, 69, 74, 76, 89, 104, 112, 133, 135, 154, 167, 172, 181, 215, 252] [41, 58, 70, 75, 77, 90, 105, 113, 134, 136, 155, 168, 173, 182, 216, 253] [42, 59, 71, 76, 78, 91, 106, 114, 127, 135, 137, 156, 169, 174, 183, 217] [43, 60, 72, 77, 79, 92, 107, 115, 128, 136, 138, 157, 170, 175, 184, 218] [44, 61, 73, 78, 80, 93, 108, 116, 129, 137, 139, 158, 171, 176, 185, 219] [45, 62, 74, 79, 81, 94, 109, 117, 130, 138, 140, 159, 172, 177, 186, 220] [46, 63, 75, 80, 82, 95, 110, 118, 131, 139, 141, 160, 173, 178, 187, 221] [47, 64, 76, 81, 83, 96, 111, 119, 132, 140, 142, 161, 174, 179, 188, 222] [48, 65, 77, 82, 84, 97, 112, 120, 133, 141, 143, 162, 175, 180, 189, 223] [49, 66, 78, 83, 85, 98, 113, 121, 134, 142, 144, 163, 176, 181, 190, 224] [50, 67, 79, 84, 86, 99, 114, 122, 135, 143, 145, 164, 177, 182, 191, 225] [51, 68, 80, 85, 87, 100, 115, 123, 136, 144, 146, 165, 178, 183, 192, 226] [52, 69, 81, 86, 88, 101, 116, 124, 137, 145, 147, 166, 179, 184, 193, 227] [53, 70, 82, 87, 89, 102, 117, 125, 138, 146, 148, 167, 180, 185, 194, 228] [54, 71, 83, 88, 90, 103, 118, 126, 139, 147, 149, 168, 181, 186, 195, 229] [0, 55, 72, 84, 89, 91, 104, 119, 140, 148, 150, 169, 182, 187, 196, 230] [1, 56, 73, 85, 90, 92, 105, 120, 141, 149, 151, 170, 183, 188, 197, 231] [2, 57, 74, 86, 91, 93, 106, 121, 142, 150, 152, 171, 184, 189, 198, 232] [3, 58, 75, 87, 92, 94, 107, 122, 143, 151, 153, 172, 185, 190, 199, 233] [4, 59, 76, 88, 93, 95, 108, 123, 144, 152, 154, 173, 186, 191, 200, 234] [5, 60, 77, 89, 94, 96, 109, 124, 145, 153, 155, 174, 187, 192, 201, 235] [6, 61, 78, 90, 95, 97, 110, 125, 146, 154, 156, 175, 188, 193, 202, 236] [7, 62, 79, 91, 96, 98, 111, 126, 147, 155, 157, 176, 189, 194, 203, 237] [0, 8, 63, 80, 92, 97, 99, 112, 148, 156, 158, 177, 190, 195, 204, 238] [1, 9, 64, 81, 93, 98, 100, 113, 149, 157, 159, 178, 191, 196, 205, 239] [2, 10, 65, 82, 94, 99, 101, 114, 150, 158, 160, 179, 192, 197, 206, 240] [3, 11, 66, 83, 95, 100, 102, 115, 151, 159, 161, 180, 193, 198, 207, 241] [4, 12, 67, 84, 96, 101, 103, 116, 152, 160, 162, 181, 194, 199, 208, 242] [5, 13, 68, 85, 97, 102, 104, 117, 153, 161, 163, 182, 195, 200, 209, 243] [6, 14, 69, 86, 98, 103, 105, 118, 154, 162, 164, 183, 196, 201, 210, 244] [7, 15, 70, 87, 99, 104, 106, 119, 155, 163, 165, 184, 197, 202, 211, 245] [8, 16, 71, 88, 100, 105, 107, 120, 156, 164, 166, 185, 198, 203, 212, 246] [9, 17, 72, 89, 101, 106, 108, 121, 157, 165, 167, 186, 199, 204, 213, 247] [10, 18, 73, 90, 102, 107, 109, 122, 158, 166, 168, 187, 200, 205, 214, 248] [11, 19, 74, 91, 103, 108, 110, 123, 159, 167, 169, 188, 201, 206, 215, 249] [12, 20, 75, 92, 104, 109, 111, 124, 160, 168, 170, 189, 202, 207, 216, 250] [13, 21, 76, 93, 105, 110, 112, 125, 161, 169, 171, 190, 203, 208, 217, 251] [14, 22, 77, 94, 106, 111, 113, 126, 162, 170, 172, 191, 204, 209, 218, 252] [0, 15, 23, 78, 95, 107, 112, 114, 163, 171, 173, 192, 205, 210, 219, 253] [1, 16, 24, 79, 96, 108, 113, 115, 127, 164, 172, 174, 193, 206, 211, 220] [2, 17, 25, 80, 97, 109, 114, 116, 128, 165, 173, 175, 194, 207, 212, 221] [3, 18, 26, 81, 98, 110, 115, 117, 129, 166, 174, 176, 195, 208, 213, 222] [4, 19, 27, 82, 99, 111, 116, 118, 130, 167, 175, 177, 196, 209, 214, 223] [5, 20, 28, 83, 100, 112, 117, 119, 131, 168, 176, 178, 197, 210, 215, 224] [6, 21, 29, 84, 101, 113, 118, 120, 132, 169, 177, 179, 198, 211, 216, 225] [7, 22, 30, 85, 102, 114, 119, 121, 133, 170, 178, 180, 199, 212, 217, 226] [8, 23, 31, 86, 103, 115, 120, 122, 134, 171, 179, 181, 200, 213, 218, 227] [9, 24, 32, 87, 104, 116, 121, 123, 135, 172, 180, 182, 201, 214, 219, 228] [10, 25, 33, 88, 105, 117, 122, 124, 136, 173, 181, 183, 202, 215, 220, 229] [11, 26, 34, 89, 106, 118, 123, 125, 137, 174, 182, 184, 203, 216, 221, 230] [12, 27, 35, 90, 107, 119, 124, 126, 138, 175, 183, 185, 204, 217, 222, 231] [0, 13, 28, 36, 91, 108, 120, 125, 139, 176, 184, 186, 205, 218, 223, 232] [1, 14, 29, 37, 92, 109, 121, 126, 140, 177, 185, 187, 206, 219, 224, 233] [0, 2, 15, 30, 38, 93, 110, 122, 141, 178, 186, 188, 207, 220, 225, 234] [1, 3, 16, 31, 39, 94, 111, 123, 142, 179, 187, 189, 208, 221, 226, 235] [2, 4, 17, 32, 40, 95, 112, 124, 143, 180, 188, 190, 209, 222, 227, 236] [3, 5, 18, 33, 41, 96, 113, 125, 144, 181, 189, 191, 210, 223, 228, 237] [4, 6, 19, 34, 42, 97, 114, 126, 145, 182, 190, 192, 211, 224, 229, 238] [0, 5, 7, 20, 35, 43, 98, 115, 146, 183, 191, 193, 212, 225, 230, 239] [1, 6, 8, 21, 36, 44, 99, 116, 147, 184, 192, 194, 213, 226, 231, 240] [2, 7, 9, 22, 37, 45, 100, 117, 148, 185, 193, 195, 214, 227, 232, 241] [3, 8, 10, 23, 38, 46, 101, 118, 149, 186, 194, 196, 215, 228, 233, 242] [4, 9, 11, 24, 39, 47, 102, 119, 150, 187, 195, 197, 216, 229, 234, 243] [5, 10, 12, 25, 40, 48, 103, 120, 151, 188, 196, 198, 217, 230, 235, 244] [6, 11, 13, 26, 41, 49, 104, 121, 152, 189, 197, 199, 218, 231, 236, 245] [7, 12, 14, 27, 42, 50, 105, 122, 153, 190, 198, 200, 219, 232, 237, 246] [8, 13, 15, 28, 43, 51, 106, 123, 154, 191, 199, 201, 220, 233, 238, 247] [9, 14, 16, 29, 44, 52, 107, 124, 155, 192, 200, 202, 221, 234, 239, 248] [10, 15, 17, 30, 45, 53, 108, 125, 156, 193, 201, 203, 222, 235, 240, 249] [11, 16, 18, 31, 46, 54, 109, 126, 157, 194, 202, 204, 223, 236, 241, 250] [0, 12, 17, 19, 32, 47, 55, 110, 158, 195, 203, 205, 224, 237, 242, 251] [1, 13, 18, 20, 33, 48, 56, 111, 159, 196, 204, 206, 225, 238, 243, 252] [2, 14, 19, 21, 34, 49, 57, 112, 160, 197, 205, 207, 226, 239, 244, 253] [3, 15, 20, 22, 35, 50, 58, 113, 127, 161, 198, 206, 208, 227, 240, 245] [4, 16, 21, 23, 36, 51, 59, 114, 128, 162, 199, 207, 209, 228, 241, 246] [5, 17, 22, 24, 37, 52, 60, 115, 129, 163, 200, 208, 210, 229, 242, 247] [6, 18, 23, 25, 38, 53, 61, 116, 130, 164, 201, 209, 211, 230, 243, 248] [7, 19, 24, 26, 39, 54, 62, 117, 131, 165, 202, 210, 212, 231, 244, 249] [8, 20, 25, 27, 40, 55, 63, 118, 132, 166, 203, 211, 213, 232, 245, 250] [9, 21, 26, 28, 41, 56, 64, 119, 133, 167, 204, 212, 214, 233, 246, 251] [10, 22, 27, 29, 42, 57, 65, 120, 134, 168, 205, 213, 215, 234, 247, 252] [11, 23, 28, 30, 43, 58, 66, 121, 135, 169, 206, 214, 216, 235, 248, 253] [12, 24, 29, 31, 44, 59, 67, 122, 127, 136, 170, 207, 215, 217, 236, 249] [13, 25, 30, 32, 45, 60, 68, 123, 128, 137, 171, 208, 216, 218, 237, 250] [14, 26, 31, 33, 46, 61, 69, 124, 129, 138, 172, 209, 217, 219, 238, 251] [15, 27, 32, 34, 47, 62, 70, 125, 130, 139, 173, 210, 218, 220, 239, 252] [16, 28, 33, 35, 48, 63, 71, 126, 131, 140, 174, 211, 219, 221, 240, 253]
H_Z (127 checks, sparse supports)
[0, 13, 32, 34, 42, 79, 113, 122, 127, 182, 190, 205, 218, 220, 225, 237] [1, 14, 33, 35, 43, 80, 114, 123, 128, 183, 191, 206, 219, 221, 226, 238] [2, 15, 34, 36, 44, 81, 115, 124, 129, 184, 192, 207, 220, 222, 227, 239] [3, 16, 35, 37, 45, 82, 116, 125, 130, 185, 193, 208, 221, 223, 228, 240] [4, 17, 36, 38, 46, 83, 117, 126, 131, 186, 194, 209, 222, 224, 229, 241] [0, 5, 18, 37, 39, 47, 84, 118, 132, 187, 195, 210, 223, 225, 230, 242] [1, 6, 19, 38, 40, 48, 85, 119, 133, 188, 196, 211, 224, 226, 231, 243] [2, 7, 20, 39, 41, 49, 86, 120, 134, 189, 197, 212, 225, 227, 232, 244] [3, 8, 21, 40, 42, 50, 87, 121, 135, 190, 198, 213, 226, 228, 233, 245] [4, 9, 22, 41, 43, 51, 88, 122, 136, 191, 199, 214, 227, 229, 234, 246] [5, 10, 23, 42, 44, 52, 89, 123, 137, 192, 200, 215, 228, 230, 235, 247] [6, 11, 24, 43, 45, 53, 90, 124, 138, 193, 201, 216, 229, 231, 236, 248] [7, 12, 25, 44, 46, 54, 91, 125, 139, 194, 202, 217, 230, 232, 237, 249] [8, 13, 26, 45, 47, 55, 92, 126, 140, 195, 203, 218, 231, 233, 238, 250] [0, 9, 14, 27, 46, 48, 56, 93, 141, 196, 204, 219, 232, 234, 239, 251] [1, 10, 15, 28, 47, 49, 57, 94, 142, 197, 205, 220, 233, 235, 240, 252] [2, 11, 16, 29, 48, 50, 58, 95, 143, 198, 206, 221, 234, 236, 241, 253] [3, 12, 17, 30, 49, 51, 59, 96, 127, 144, 199, 207, 222, 235, 237, 242] [4, 13, 18, 31, 50, 52, 60, 97, 128, 145, 200, 208, 223, 236, 238, 243] [5, 14, 19, 32, 51, 53, 61, 98, 129, 146, 201, 209, 224, 237, 239, 244] [6, 15, 20, 33, 52, 54, 62, 99, 130, 147, 202, 210, 225, 238, 240, 245] [7, 16, 21, 34, 53, 55, 63, 100, 131, 148, 203, 211, 226, 239, 241, 246] [8, 17, 22, 35, 54, 56, 64, 101, 132, 149, 204, 212, 227, 240, 242, 247] [9, 18, 23, 36, 55, 57, 65, 102, 133, 150, 205, 213, 228, 241, 243, 248] [10, 19, 24, 37, 56, 58, 66, 103, 134, 151, 206, 214, 229, 242, 244, 249] [11, 20, 25, 38, 57, 59, 67, 104, 135, 152, 207, 215, 230, 243, 245, 250] [12, 21, 26, 39, 58, 60, 68, 105, 136, 153, 208, 216, 231, 244, 246, 251] [13, 22, 27, 40, 59, 61, 69, 106, 137, 154, 209, 217, 232, 245, 247, 252] [14, 23, 28, 41, 60, 62, 70, 107, 138, 155, 210, 218, 233, 246, 248, 253] [15, 24, 29, 42, 61, 63, 71, 108, 127, 139, 156, 211, 219, 234, 247, 249] [16, 25, 30, 43, 62, 64, 72, 109, 128, 140, 157, 212, 220, 235, 248, 250] [17, 26, 31, 44, 63, 65, 73, 110, 129, 141, 158, 213, 221, 236, 249, 251] [18, 27, 32, 45, 64, 66, 74, 111, 130, 142, 159, 214, 222, 237, 250, 252] [19, 28, 33, 46, 65, 67, 75, 112, 131, 143, 160, 215, 223, 238, 251, 253] [20, 29, 34, 47, 66, 68, 76, 113, 127, 132, 144, 161, 216, 224, 239, 252] [21, 30, 35, 48, 67, 69, 77, 114, 128, 133, 145, 162, 217, 225, 240, 253] [22, 31, 36, 49, 68, 70, 78, 115, 127, 129, 134, 146, 163, 218, 226, 241] [23, 32, 37, 50, 69, 71, 79, 116, 128, 130, 135, 147, 164, 219, 227, 242] [24, 33, 38, 51, 70, 72, 80, 117, 129, 131, 136, 148, 165, 220, 228, 243] [25, 34, 39, 52, 71, 73, 81, 118, 130, 132, 137, 149, 166, 221, 229, 244] [26, 35, 40, 53, 72, 74, 82, 119, 131, 133, 138, 150, 167, 222, 230, 245] [27, 36, 41, 54, 73, 75, 83, 120, 132, 134, 139, 151, 168, 223, 231, 246] [28, 37, 42, 55, 74, 76, 84, 121, 133, 135, 140, 152, 169, 224, 232, 247] [29, 38, 43, 56, 75, 77, 85, 122, 134, 136, 141, 153, 170, 225, 233, 248] [30, 39, 44, 57, 76, 78, 86, 123, 135, 137, 142, 154, 171, 226, 234, 249] [31, 40, 45, 58, 77, 79, 87, 124, 136, 138, 143, 155, 172, 227, 235, 250] [32, 41, 46, 59, 78, 80, 88, 125, 137, 139, 144, 156, 173, 228, 236, 251] [33, 42, 47, 60, 79, 81, 89, 126, 138, 140, 145, 157, 174, 229, 237, 252] [0, 34, 43, 48, 61, 80, 82, 90, 139, 141, 146, 158, 175, 230, 238, 253] [1, 35, 44, 49, 62, 81, 83, 91, 127, 140, 142, 147, 159, 176, 231, 239] [2, 36, 45, 50, 63, 82, 84, 92, 128, 141, 143, 148, 160, 177, 232, 240] [3, 37, 46, 51, 64, 83, 85, 93, 129, 142, 144, 149, 161, 178, 233, 241] [4, 38, 47, 52, 65, 84, 86, 94, 130, 143, 145, 150, 162, 179, 234, 242] [5, 39, 48, 53, 66, 85, 87, 95, 131, 144, 146, 151, 163, 180, 235, 243] [6, 40, 49, 54, 67, 86, 88, 96, 132, 145, 147, 152, 164, 181, 236, 244] [7, 41, 50, 55, 68, 87, 89, 97, 133, 146, 148, 153, 165, 182, 237, 245] [8, 42, 51, 56, 69, 88, 90, 98, 134, 147, 149, 154, 166, 183, 238, 246] [9, 43, 52, 57, 70, 89, 91, 99, 135, 148, 150, 155, 167, 184, 239, 247] [10, 44, 53, 58, 71, 90, 92, 100, 136, 149, 151, 156, 168, 185, 240, 248] [11, 45, 54, 59, 72, 91, 93, 101, 137, 150, 152, 157, 169, 186, 241, 249] [12, 46, 55, 60, 73, 92, 94, 102, 138, 151, 153, 158, 170, 187, 242, 250] [13, 47, 56, 61, 74, 93, 95, 103, 139, 152, 154, 159, 171, 188, 243, 251] [14, 48, 57, 62, 75, 94, 96, 104, 140, 153, 155, 160, 172, 189, 244, 252] [15, 49, 58, 63, 76, 95, 97, 105, 141, 154, 156, 161, 173, 190, 245, 253] [16, 50, 59, 64, 77, 96, 98, 106, 127, 142, 155, 157, 162, 174, 191, 246] [17, 51, 60, 65, 78, 97, 99, 107, 128, 143, 156, 158, 163, 175, 192, 247] [18, 52, 61, 66, 79, 98, 100, 108, 129, 144, 157, 159, 164, 176, 193, 248] [19, 53, 62, 67, 80, 99, 101, 109, 130, 145, 158, 160, 165, 177, 194, 249] [20, 54, 63, 68, 81, 100, 102, 110, 131, 146, 159, 161, 166, 178, 195, 250] [21, 55, 64, 69, 82, 101, 103, 111, 132, 147, 160, 162, 167, 179, 196, 251] [22, 56, 65, 70, 83, 102, 104, 112, 133, 148, 161, 163, 168, 180, 197, 252] [23, 57, 66, 71, 84, 103, 105, 113, 134, 149, 162, 164, 169, 181, 198, 253] [24, 58, 67, 72, 85, 104, 106, 114, 127, 135, 150, 163, 165, 170, 182, 199] [25, 59, 68, 73, 86, 105, 107, 115, 128, 136, 151, 164, 166, 171, 183, 200] [26, 60, 69, 74, 87, 106, 108, 116, 129, 137, 152, 165, 167, 172, 184, 201] [27, 61, 70, 75, 88, 107, 109, 117, 130, 138, 153, 166, 168, 173, 185, 202] [28, 62, 71, 76, 89, 108, 110, 118, 131, 139, 154, 167, 169, 174, 186, 203] [29, 63, 72, 77, 90, 109, 111, 119, 132, 140, 155, 168, 170, 175, 187, 204] [30, 64, 73, 78, 91, 110, 112, 120, 133, 141, 156, 169, 171, 176, 188, 205] [31, 65, 74, 79, 92, 111, 113, 121, 134, 142, 157, 170, 172, 177, 189, 206] [32, 66, 75, 80, 93, 112, 114, 122, 135, 143, 158, 171, 173, 178, 190, 207] [33, 67, 76, 81, 94, 113, 115, 123, 136, 144, 159, 172, 174, 179, 191, 208] [34, 68, 77, 82, 95, 114, 116, 124, 137, 145, 160, 173, 175, 180, 192, 209] [35, 69, 78, 83, 96, 115, 117, 125, 138, 146, 161, 174, 176, 181, 193, 210] [36, 70, 79, 84, 97, 116, 118, 126, 139, 147, 162, 175, 177, 182, 194, 211] [0, 37, 71, 80, 85, 98, 117, 119, 140, 148, 163, 176, 178, 183, 195, 212] [1, 38, 72, 81, 86, 99, 118, 120, 141, 149, 164, 177, 179, 184, 196, 213] [2, 39, 73, 82, 87, 100, 119, 121, 142, 150, 165, 178, 180, 185, 197, 214] [3, 40, 74, 83, 88, 101, 120, 122, 143, 151, 166, 179, 181, 186, 198, 215] [4, 41, 75, 84, 89, 102, 121, 123, 144, 152, 167, 180, 182, 187, 199, 216] [5, 42, 76, 85, 90, 103, 122, 124, 145, 153, 168, 181, 183, 188, 200, 217] [6, 43, 77, 86, 91, 104, 123, 125, 146, 154, 169, 182, 184, 189, 201, 218] [7, 44, 78, 87, 92, 105, 124, 126, 147, 155, 170, 183, 185, 190, 202, 219] [0, 8, 45, 79, 88, 93, 106, 125, 148, 156, 171, 184, 186, 191, 203, 220] [1, 9, 46, 80, 89, 94, 107, 126, 149, 157, 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