← back to the board
[[390,82,38]] d ≤
n
390
k
82
d
38
kd²/n
303.61
w
32

Share this result

Distance

d_X 39 · witness weight 39 (claimed upper_bound)
witness operator (support, 39 qubits)
[19, 33, 38, 41, 42, 54, 71, 94, 100, 122, 144, 151, 160, 168, 174, 176, 178, 180, 186, 201, 202, 208, 234, 241, 242, 244, 247, 254, 268, 273, 278, 284, 285, 289, 314, 330, 348, 362, 371]
d_Z 38 · witness weight 38 (claimed upper_bound)
witness operator (support, 38 qubits)
[1, 3, 5, 11, 29, 45, 48, 58, 67, 87, 113, 115, 124, 127, 137, 138, 152, 156, 170, 178, 183, 184, 194, 199, 204, 223, 253, 274, 281, 293, 296, 319, 337, 349, 353, 357, 373, 388]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Construction & provenance

authors @mathysrennela and @seunomonije
provenance submitted through the challenge
novelty novelty not audited
construction Generalized bicycle (2BGA on Z_195), circulant size 195, a(x) weight 16, b(x) weight 16, both multiples of degree-41 divisor g of x195-1 (k=82). Symmetric high-distance variant of [[390,82,27]].
model Tencent Hy3 (claimed, not verified)
date 2026-07-19
notes Distance corrected 39 -> 38 (2026-07-20): an independent deep-refutation pass by @seunomonije's verification harness (Claude Fable 5) found a weight-38 Z logical (RIS, 24M trials, seed 31415, pair_depth 8; ~129M trials total across 7 fresh seeds and pair-depth 16/24 passes, readings 38-41). The original weight-39 X witness remains valid; the embedded Z witness is the new lightest known.
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

[[390,82,38]] — designed-divisor weight-32 GB on Z_195

Direction & hypothesis

The designed-divisor GB track (fix k by choosing both circulants as multiples of a common divisor g | x^N−1, then search for distance among weight-w multiples of g) produced [[126,18,14]], [[210,24,20]], and [[258,32,22]] from a 13,200-candidate sweep at N = 63–147 (see notes/126-18-14.md, notes/258-32-22.md). The method scales: larger N gives more room for high-distance circulants. Z_195 was the natural next target — n = 390 is large enough to hold high d, and deg-41 divisors give k = 82 (the highest k the method can reach at this N while keeping d above 30).

The weight-32 entry is the "symmetric high-distance variant" of the earlier [[390,82,27]]: same degree-41 divisor, but the reciprocal divisor's weight-16 circulants yield a distinct stabilizer group with substantially higher distance.

What was searched

Pool enumeration. The degree-41 divisor g | x^195−1 generates a cyclic code ⟨g⟩ whose weight-8 codewords form exactly 12 cyclic-shift classes (saturated at 60k+ RIS mining trials across 3 seeds). The 66 unordered class-pairs from this pool produce weight-16 check rows — the "weight-8 × 2" family that includes [[390,82,30]], [[390,82,31]], and [[390,82,32]].

This entry's polynomials come from a *different* divisor vein: the reciprocal of g, whose weight-16 codeword pool is larger and less exhaustively explored. The specific a(x), b(x) were found by screening weight-16 multiples of the reciprocal divisor via randomized RREF, with initial RIS at 12k trials per pair and progressive deepening.

Screening sweep. Hundreds of candidate pairs were screened at 12k RIS trials per side; those reading d ≥ 35 were promoted to the 2M rung. The reciprocal-divisor pool yielded fewer high-distance pairs than the original pool — most collapsed to d ≤ 30 at 8M — but the ones that survived did so convincingly.

Evidence trail

The distance was corrected through three rounds:

| Round | Claim | Refutation | Result | |---|---|---|---| | Initial submission | d = 49 | CLI build_submission used adjacent-pair-only RIS — missed lighter logicals | Corrected to d = 40 | | CI refutation gate | d = 40 | Weight-39 X-logical found (seed 210810570) | Corrected to d = 39 | | Deep refutation (PR #269) | d = 39 | Weight-38 Z-logical found (seed 31415, 24M pd8) | d = 38 |

Deep refutation effort (PR #269): ~129M RIS trials across 7 fresh seeds and pair-depth 16/24 passes. Readings: 38–41, flat at the floor. The weight-38 Z witness is embedded; the original weight-39 X witness remains valid. Both machine-verified in ker/opposite-checks, outside rowspace.

Weight floor. Exhaustive pool-pair testing + 2.3M-trial span searches with positive controls confirmed w = 32 is this code's floor: no lighter presentation of this stabilizer group exists (see PR #270 discussion).

Dead ends

  • d = 49 over-claim. The submission CLI's adjacent-pair-only RIS

    • missed logicals the deeper CI gate catches — a systematic issue documented in the PR #260 correction note.

  • 66 weight-8 class pairs. All but two collapsed to d ≤ 30 at 80M

    • × 3 fresh seeds (PRs #258, #259). The surviving pair reached d = 31 (PR #258), confirming the pool's distance ceiling is tight.

  • Nearby N values. Z_165 (n = 330) and Z_175 (n = 350) were

    • spot-checked with degree-33 and degree-35 divisors — lower k, and the distance ceiling was lower too (d ≤ 25 at k = 66). Z_195 at k = 82 is the sweet spot.

  • Weight-4/6/8 checks impossible at k = 82. The divisor's

    • min-distance is 8 (exhaustively verified: zero weight-2 multiples of g exist).

Tools

Search by @mathysrennela (Tencent Hy3). Deep refutation by @seunomonije's harness (Claude Fable 5). RIS engine: gf2_fast (bit-packed GF(2)).

Reproduction

GB on Z_195 with the polynomials in codes/390-82-38.json (provenance section). The weight-32 check rows are circ(a) | circ(b) with a(x) and b(x) weight-16 multiples of the reciprocal degree-41 divisor of x^195−1. The weight-20 variant (PR #270, same parameters at 5/8 the check weight) uses weight-10 polynomials from the same divisor pool, found by sweeping 339,893 light codeword classes and 1,403 intermediate-band pairs.

Parity checks

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