[[502,2,75]] · QEC Challenge

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[[502,2,75]] d ≤

502

kd²/n

22.41

X/Z

1.03

Share this result

Distance

X/Z asymmetry 1.03 · d_X ≤ 77, d_Z ≤ 75 · w_X = 24, w_Z = 24 (max(d_X,d_Z)/min(d_X,d_Z); each side carries its own earned tier: = certified exact, ≤ witness upper bound)

d_X 77 · witness weight 77 (claimed upper_bound)

witness operator (support, 77 qubits)

[1, 15, 19, 22, 28, 51, 56, 57, 58, 59, 70, 72, 73, 75, 76, 87, 93, 95, 120, 139, 147, 151, 153, 156, 159, 162, 165, 166, 167, 180, 187, 200, 211, 215, 223, 237, 240, 246, 250, 252, 254, 261, 264, 265, 276, 304, 309, 311, 315, 318, 323, 325, 339, 343, 345, 347, 348, 349, 359, 365, 368, 385, 386, 388, 401, 410, 416, 428, 450, 454, 456, 458, 468, 474, 476, 478, 500]

d_Z 75 · witness weight 75 (claimed upper_bound)

witness found by @vprusso · verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified) · found at 3×10⁸ trials · survived 3×10⁸ trials · 2026-09-25

witness operator (support, 75 qubits)

[8, 10, 19, 26, 28, 34, 35, 37, 41, 42, 44, 45, 46, 47, 50, 51, 55, 62, 73, 79, 91, 92, 94, 95, 96, 99, 103, 111, 115, 132, 135, 136, 137, 139, 145, 147, 161, 165, 171, 178, 182, 183, 187, 190, 191, 194, 196, 200, 204, 207, 210, 215, 218, 221, 225, 226, 227, 229, 239, 241, 247, 282, 305, 345, 370, 405, 416, 417, 420, 448, 453, 458, 471, 478, 493]

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 24 · H_Z 24

qubit degrees H_X 12 · H_Z 12

trapping sets H_X (1,12)×502 (2,18)×1506 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)

full (size, syndrome weight): count census for H_X

(1,12): 502 (2,18): 1506 (2,20): 9538 (2,22): 45682

trapping sets H_Z (1,12)×502 (2,18)×1506 (smallest syndrome weight at each size, connected sets of up to 3 qubits; sizes above 2 skipped under the cost cap)

full (size, syndrome weight): count census for H_Z

(1,12): 502 (2,18): 1506 (2,20): 9538 (2,22): 45682

Construction & provenance

authors @vprusso

provenance submitted through the challenge

novelty known parameter set; see provenance notes

construction Cyclic generalized-bicycle code on the ring x²⁵¹ - 1 with a(x) = x³ + x³⁸ + x⁵⁹ + x⁹⁹ + x¹³³ + x¹⁶² + x¹⁶³ + x¹⁷¹ + x¹⁸⁹ + x²²⁰ + x²²² + x²³⁷, b(x) = x⁷ + x¹⁰ + x¹⁶ + x⁴⁰ + x⁷⁷ + x¹⁵¹ + x¹⁹⁴ + x¹⁹⁸ + x¹⁹⁹ + x²¹⁰ + x²²¹ + x²⁴⁵; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].

model Claude Opus 5 (claimed, not verified)

date 2026-09-22

notes Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed.

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

[[502,2,75]]: distance revision of the board's [[502,2,77]] entry

Revision history

[[502,2,75]] supersedes the board's [[502,2,77]] entry. The code, its checks, its layout, and its original provenance are unchanged; only the distance block is corrected. A GPU random-information-set search (verify/ris_gpu.py, recover mode, 300,000,000 trials per side, pair depth 0, seed 4102) exhibits a weight-75 Z logical, so the previous witness-backed bound was overstated and the honest parameter set is [[502,2,75]]. The headline falls from kd^2/n = 23.62 to 22.41. Each lighter witness is carried in the entry with the budget it was found at; the other side keeps its original witness where it was not refuted. Distance remains an upper bound, not an exact claim.

Evidence

Every GPU proposal was re-validated on the CPU against the committed check matrices (in the kernel of the opposite side's checks, outside the row space of its own side) before it was recorded. The pass is the weekly fresh-seed re-measurement of the board's cell leaders (issue 2025, run of 2026-09-24); every recorded reading is the lightest CPU-verified logical at that budget.

| side | seed | claimed | GPU best weight | CPU-verified witness | trials | |---|---|---|---|---|---| | X | 4101 | 77 | 77 | 77 | 300,000,000 | | Z | 4101 | 77 | 77 | 77 | 300,000,000 | | X | 4102 | 77 | 77 | 77 | 300,000,000 | | Z | 4102 | 77 | 75 | 75 | 300,000,000 |

Original note, with the file paths updated

[[502,2,77]] weight-24 cyclic generalized-bicycle

Hypothesis

Cyclic generalized-bicycle codes at check weight 24 cover a wide blocklength range, and the board's coverage of that range is uneven: there are stretches of n where no entry sits near the (k, d) the family can reach. A broad randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work, finds the gaps.

Construction

ring x^251 - 1 a(x) = x^3 + x^38 + x^59 + x^99 + x^133 + x^162 + x^163 + x^171 + x^189 + x^220 + x^222 + x^237 b(x) = x^7 + x^10 + x^16 + x^40 + x^77 + x^151 + x^194 + x^198 + x^199 + x^210 + x^221 + x^245 H_X = [circ(a) | circ(b)] H_Z = [circ(b)^T | circ(a)^T]

n = 2m, and k = 2 deg gcd(a, b, x^m - 1), computed by Euclid before any matrix work so that most draws are discarded for free.

What was swept

One loop draws a ring size and a weight split, samples the two sparse polynomials, computes k by Euclid, and runs a cheap 60k-trial distance screen. A draw survives only if the resulting (n, k, d, w) is undominated on the live board snapshot. Surviving draws go through an escalating ladder of 400k, 2M and 8M random information-set trials, with the board comparison repeated at each rung so a candidate that collapses is dropped as soon as it stops being interesting.

The single-block check

General RIS over all 2m columns is close to blind to a logical supported entirely on one block. Such a vector u satisfies a(x) u(x) = 0 mod x^m - 1, which puts u in the ideal generated by h = (x^m - 1) / gcd(a, x^m - 1), so it can be searched directly in a space of dimension deg h rather than 2m. This matters: a previous submission of mine survived 150M general RIS trials at weight 74 and was then refuted by a weight-64 logical sitting entirely in one block, which the ideal search finds in seconds. Every candidate here is checked that way before the distance is believed, and any candidate whose single-block bound comes in below the ladder is dropped rather than submitted.

Distance ladder

Witness search runs on each side separately, so a run that happens to find one side cannot leave the other without a witness. Both witnesses are re-checked directly against H: in the kernel of the opposite matrix, and outside the row space of its own.

What it advances

Score kd^2/n = 23.622 at check weight 24. Undominated in its cell against the board at submission time.

Boundary

The distance is an upper bound from witness search, not a proof. Literature novelty is unverified: cyclic GB codes are a classical family and these parameters may appear in the 2BGA literature.

Parity checks

X-checks 251 (max weight 24) · Z-checks 251 (max weight 24)

H_X (251 checks, sparse supports)

[3, 38, 59, 99, 133, 162, 163, 171, 189, 220, 222, 237, 258, 261, 267, 291, 328, 402, 445, 449, 450, 461, 472, 496] [4, 39, 60, 100, 134, 163, 164, 172, 190, 221, 223, 238, 259, 262, 268, 292, 329, 403, 446, 450, 451, 462, 473, 497] [5, 40, 61, 101, 135, 164, 165, 173, 191, 222, 224, 239, 260, 263, 269, 293, 330, 404, 447, 451, 452, 463, 474, 498] [6, 41, 62, 102, 136, 165, 166, 174, 192, 223, 225, 240, 261, 264, 270, 294, 331, 405, 448, 452, 453, 464, 475, 499] [7, 42, 63, 103, 137, 166, 167, 175, 193, 224, 226, 241, 262, 265, 271, 295, 332, 406, 449, 453, 454, 465, 476, 500] [8, 43, 64, 104, 138, 167, 168, 176, 194, 225, 227, 242, 263, 266, 272, 296, 333, 407, 450, 454, 455, 466, 477, 501] [9, 44, 65, 105, 139, 168, 169, 177, 195, 226, 228, 243, 251, 264, 267, 273, 297, 334, 408, 451, 455, 456, 467, 478] [10, 45, 66, 106, 140, 169, 170, 178, 196, 227, 229, 244, 252, 265, 268, 274, 298, 335, 409, 452, 456, 457, 468, 479] [11, 46, 67, 107, 141, 170, 171, 179, 197, 228, 230, 245, 253, 266, 269, 275, 299, 336, 410, 453, 457, 458, 469, 480] [12, 47, 68, 108, 142, 171, 172, 180, 198, 229, 231, 246, 254, 267, 270, 276, 300, 337, 411, 454, 458, 459, 470, 481] [13, 48, 69, 109, 143, 172, 173, 181, 199, 230, 232, 247, 255, 268, 271, 277, 301, 338, 412, 455, 459, 460, 471, 482] [14, 49, 70, 110, 144, 173, 174, 182, 200, 231, 233, 248, 256, 269, 272, 278, 302, 339, 413, 456, 460, 461, 472, 483] [15, 50, 71, 111, 145, 174, 175, 183, 201, 232, 234, 249, 257, 270, 273, 279, 303, 340, 414, 457, 461, 462, 473, 484] [16, 51, 72, 112, 146, 175, 176, 184, 202, 233, 235, 250, 258, 271, 274, 280, 304, 341, 415, 458, 462, 463, 474, 485] [0, 17, 52, 73, 113, 147, 176, 177, 185, 203, 234, 236, 259, 272, 275, 281, 305, 342, 416, 459, 463, 464, 475, 486] [1, 18, 53, 74, 114, 148, 177, 178, 186, 204, 235, 237, 260, 273, 276, 282, 306, 343, 417, 460, 464, 465, 476, 487] [2, 19, 54, 75, 115, 149, 178, 179, 187, 205, 236, 238, 261, 274, 277, 283, 307, 344, 418, 461, 465, 466, 477, 488] [3, 20, 55, 76, 116, 150, 179, 180, 188, 206, 237, 239, 262, 275, 278, 284, 308, 345, 419, 462, 466, 467, 478, 489] [4, 21, 56, 77, 117, 151, 180, 181, 189, 207, 238, 240, 263, 276, 279, 285, 309, 346, 420, 463, 467, 468, 479, 490] [5, 22, 57, 78, 118, 152, 181, 182, 190, 208, 239, 241, 264, 277, 280, 286, 310, 347, 421, 464, 468, 469, 480, 491] [6, 23, 58, 79, 119, 153, 182, 183, 191, 209, 240, 242, 265, 278, 281, 287, 311, 348, 422, 465, 469, 470, 481, 492] [7, 24, 59, 80, 120, 154, 183, 184, 192, 210, 241, 243, 266, 279, 282, 288, 312, 349, 423, 466, 470, 471, 482, 493] [8, 25, 60, 81, 121, 155, 184, 185, 193, 211, 242, 244, 267, 280, 283, 289, 313, 350, 424, 467, 471, 472, 483, 494] [9, 26, 61, 82, 122, 156, 185, 186, 194, 212, 243, 245, 268, 281, 284, 290, 314, 351, 425, 468, 472, 473, 484, 495] [10, 27, 62, 83, 123, 157, 186, 187, 195, 213, 244, 246, 269, 282, 285, 291, 315, 352, 426, 469, 473, 474, 485, 496] [11, 28, 63, 84, 124, 158, 187, 188, 196, 214, 245, 247, 270, 283, 286, 292, 316, 353, 427, 470, 474, 475, 486, 497] [12, 29, 64, 85, 125, 159, 188, 189, 197, 215, 246, 248, 271, 284, 287, 293, 317, 354, 428, 471, 475, 476, 487, 498] [13, 30, 65, 86, 126, 160, 189, 190, 198, 216, 247, 249, 272, 285, 288, 294, 318, 355, 429, 472, 476, 477, 488, 499] [14, 31, 66, 87, 127, 161, 190, 191, 199, 217, 248, 250, 273, 286, 289, 295, 319, 356, 430, 473, 477, 478, 489, 500] [0, 15, 32, 67, 88, 128, 162, 191, 192, 200, 218, 249, 274, 287, 290, 296, 320, 357, 431, 474, 478, 479, 490, 501] [1, 16, 33, 68, 89, 129, 163, 192, 193, 201, 219, 250, 251, 275, 288, 291, 297, 321, 358, 432, 475, 479, 480, 491] [0, 2, 17, 34, 69, 90, 130, 164, 193, 194, 202, 220, 252, 276, 289, 292, 298, 322, 359, 433, 476, 480, 481, 492] [1, 3, 18, 35, 70, 91, 131, 165, 194, 195, 203, 221, 253, 277, 290, 293, 299, 323, 360, 434, 477, 481, 482, 493] [2, 4, 19, 36, 71, 92, 132, 166, 195, 196, 204, 222, 254, 278, 291, 294, 300, 324, 361, 435, 478, 482, 483, 494] [3, 5, 20, 37, 72, 93, 133, 167, 196, 197, 205, 223, 255, 279, 292, 295, 301, 325, 362, 436, 479, 483, 484, 495] [4, 6, 21, 38, 73, 94, 134, 168, 197, 198, 206, 224, 256, 280, 293, 296, 302, 326, 363, 437, 480, 484, 485, 496] [5, 7, 22, 39, 74, 95, 135, 169, 198, 199, 207, 225, 257, 281, 294, 297, 303, 327, 364, 438, 481, 485, 486, 497] [6, 8, 23, 40, 75, 96, 136, 170, 199, 200, 208, 226, 258, 282, 295, 298, 304, 328, 365, 439, 482, 486, 487, 498] [7, 9, 24, 41, 76, 97, 137, 171, 200, 201, 209, 227, 259, 283, 296, 299, 305, 329, 366, 440, 483, 487, 488, 499] [8, 10, 25, 42, 77, 98, 138, 172, 201, 202, 210, 228, 260, 284, 297, 300, 306, 330, 367, 441, 484, 488, 489, 500] [9, 11, 26, 43, 78, 99, 139, 173, 202, 203, 211, 229, 261, 285, 298, 301, 307, 331, 368, 442, 485, 489, 490, 501] [10, 12, 27, 44, 79, 100, 140, 174, 203, 204, 212, 230, 251, 262, 286, 299, 302, 308, 332, 369, 443, 486, 490, 491] [11, 13, 28, 45, 80, 101, 141, 175, 204, 205, 213, 231, 252, 263, 287, 300, 303, 309, 333, 370, 444, 487, 491, 492] [12, 14, 29, 46, 81, 102, 142, 176, 205, 206, 214, 232, 253, 264, 288, 301, 304, 310, 334, 371, 445, 488, 492, 493] [13, 15, 30, 47, 82, 103, 143, 177, 206, 207, 215, 233, 254, 265, 289, 302, 305, 311, 335, 372, 446, 489, 493, 494] [14, 16, 31, 48, 83, 104, 144, 178, 207, 208, 216, 234, 255, 266, 290, 303, 306, 312, 336, 373, 447, 490, 494, 495] [15, 17, 32, 49, 84, 105, 145, 179, 208, 209, 217, 235, 256, 267, 291, 304, 307, 313, 337, 374, 448, 491, 495, 496] [16, 18, 33, 50, 85, 106, 146, 180, 209, 210, 218, 236, 257, 268, 292, 305, 308, 314, 338, 375, 449, 492, 496, 497] [17, 19, 34, 51, 86, 107, 147, 181, 210, 211, 219, 237, 258, 269, 293, 306, 309, 315, 339, 376, 450, 493, 497, 498] [18, 20, 35, 52, 87, 108, 148, 182, 211, 212, 220, 238, 259, 270, 294, 307, 310, 316, 340, 377, 451, 494, 498, 499] [19, 21, 36, 53, 88, 109, 149, 183, 212, 213, 221, 239, 260, 271, 295, 308, 311, 317, 341, 378, 452, 495, 499, 500] [20, 22, 37, 54, 89, 110, 150, 184, 213, 214, 222, 240, 261, 272, 296, 309, 312, 318, 342, 379, 453, 496, 500, 501] [21, 23, 38, 55, 90, 111, 151, 185, 214, 215, 223, 241, 251, 262, 273, 297, 310, 313, 319, 343, 380, 454, 497, 501] [22, 24, 39, 56, 91, 112, 152, 186, 215, 216, 224, 242, 251, 252, 263, 274, 298, 311, 314, 320, 344, 381, 455, 498] [23, 25, 40, 57, 92, 113, 153, 187, 216, 217, 225, 243, 252, 253, 264, 275, 299, 312, 315, 321, 345, 382, 456, 499] [24, 26, 41, 58, 93, 114, 154, 188, 217, 218, 226, 244, 253, 254, 265, 276, 300, 313, 316, 322, 346, 383, 457, 500] [25, 27, 42, 59, 94, 115, 155, 189, 218, 219, 227, 245, 254, 255, 266, 277, 301, 314, 317, 323, 347, 384, 458, 501] [26, 28, 43, 60, 95, 116, 156, 190, 219, 220, 228, 246, 251, 255, 256, 267, 278, 302, 315, 318, 324, 348, 385, 459] [27, 29, 44, 61, 96, 117, 157, 191, 220, 221, 229, 247, 252, 256, 257, 268, 279, 303, 316, 319, 325, 349, 386, 460] [28, 30, 45, 62, 97, 118, 158, 192, 221, 222, 230, 248, 253, 257, 258, 269, 280, 304, 317, 320, 326, 350, 387, 461] [29, 31, 46, 63, 98, 119, 159, 193, 222, 223, 231, 249, 254, 258, 259, 270, 281, 305, 318, 321, 327, 351, 388, 462] [30, 32, 47, 64, 99, 120, 160, 194, 223, 224, 232, 250, 255, 259, 260, 271, 282, 306, 319, 322, 328, 352, 389, 463] [0, 31, 33, 48, 65, 100, 121, 161, 195, 224, 225, 233, 256, 260, 261, 272, 283, 307, 320, 323, 329, 353, 390, 464] [1, 32, 34, 49, 66, 101, 122, 162, 196, 225, 226, 234, 257, 261, 262, 273, 284, 308, 321, 324, 330, 354, 391, 465] [2, 33, 35, 50, 67, 102, 123, 163, 197, 226, 227, 235, 258, 262, 263, 274, 285, 309, 322, 325, 331, 355, 392, 466] [3, 34, 36, 51, 68, 103, 124, 164, 198, 227, 228, 236, 259, 263, 264, 275, 286, 310, 323, 326, 332, 356, 393, 467] [4, 35, 37, 52, 69, 104, 125, 165, 199, 228, 229, 237, 260, 264, 265, 276, 287, 311, 324, 327, 333, 357, 394, 468] [5, 36, 38, 53, 70, 105, 126, 166, 200, 229, 230, 238, 261, 265, 266, 277, 288, 312, 325, 328, 334, 358, 395, 469] [6, 37, 39, 54, 71, 106, 127, 167, 201, 230, 231, 239, 262, 266, 267, 278, 289, 313, 326, 329, 335, 359, 396, 470] [7, 38, 40, 55, 72, 107, 128, 168, 202, 231, 232, 240, 263, 267, 268, 279, 290, 314, 327, 330, 336, 360, 397, 471] [8, 39, 41, 56, 73, 108, 129, 169, 203, 232, 233, 241, 264, 268, 269, 280, 291, 315, 328, 331, 337, 361, 398, 472] [9, 40, 42, 57, 74, 109, 130, 170, 204, 233, 234, 242, 265, 269, 270, 281, 292, 316, 329, 332, 338, 362, 399, 473] [10, 41, 43, 58, 75, 110, 131, 171, 205, 234, 235, 243, 266, 270, 271, 282, 293, 317, 330, 333, 339, 363, 400, 474] [11, 42, 44, 59, 76, 111, 132, 172, 206, 235, 236, 244, 267, 271, 272, 283, 294, 318, 331, 334, 340, 364, 401, 475] [12, 43, 45, 60, 77, 112, 133, 173, 207, 236, 237, 245, 268, 272, 273, 284, 295, 319, 332, 335, 341, 365, 402, 476] [13, 44, 46, 61, 78, 113, 134, 174, 208, 237, 238, 246, 269, 273, 274, 285, 296, 320, 333, 336, 342, 366, 403, 477] [14, 45, 47, 62, 79, 114, 135, 175, 209, 238, 239, 247, 270, 274, 275, 286, 297, 321, 334, 337, 343, 367, 404, 478] [15, 46, 48, 63, 80, 115, 136, 176, 210, 239, 240, 248, 271, 275, 276, 287, 298, 322, 335, 338, 344, 368, 405, 479] [16, 47, 49, 64, 81, 116, 137, 177, 211, 240, 241, 249, 272, 276, 277, 288, 299, 323, 336, 339, 345, 369, 406, 480] [17, 48, 50, 65, 82, 117, 138, 178, 212, 241, 242, 250, 273, 277, 278, 289, 300, 324, 337, 340, 346, 370, 407, 481] [0, 18, 49, 51, 66, 83, 118, 139, 179, 213, 242, 243, 274, 278, 279, 290, 301, 325, 338, 341, 347, 371, 408, 482] [1, 19, 50, 52, 67, 84, 119, 140, 180, 214, 243, 244, 275, 279, 280, 291, 302, 326, 339, 342, 348, 372, 409, 483] [2, 20, 51, 53, 68, 85, 120, 141, 181, 215, 244, 245, 276, 280, 281, 292, 303, 327, 340, 343, 349, 373, 410, 484] [3, 21, 52, 54, 69, 86, 121, 142, 182, 216, 245, 246, 277, 281, 282, 293, 304, 328, 341, 344, 350, 374, 411, 485] [4, 22, 53, 55, 70, 87, 122, 143, 183, 217, 246, 247, 278, 282, 283, 294, 305, 329, 342, 345, 351, 375, 412, 486] [5, 23, 54, 56, 71, 88, 123, 144, 184, 218, 247, 248, 279, 283, 284, 295, 306, 330, 343, 346, 352, 376, 413, 487] [6, 24, 55, 57, 72, 89, 124, 145, 185, 219, 248, 249, 280, 284, 285, 296, 307, 331, 344, 347, 353, 377, 414, 488] [7, 25, 56, 58, 73, 90, 125, 146, 186, 220, 249, 250, 281, 285, 286, 297, 308, 332, 345, 348, 354, 378, 415, 489] [0, 8, 26, 57, 59, 74, 91, 126, 147, 187, 221, 250, 282, 286, 287, 298, 309, 333, 346, 349, 355, 379, 416, 490] [0, 1, 9, 27, 58, 60, 75, 92, 127, 148, 188, 222, 283, 287, 288, 299, 310, 334, 347, 350, 356, 380, 417, 491] [1, 2, 10, 28, 59, 61, 76, 93, 128, 149, 189, 223, 284, 288, 289, 300, 311, 335, 348, 351, 357, 381, 418, 492] [2, 3, 11, 29, 60, 62, 77, 94, 129, 150, 190, 224, 285, 289, 290, 301, 312, 336, 349, 352, 358, 382, 419, 493] [3, 4, 12, 30, 61, 63, 78, 95, 130, 151, 191, 225, 286, 290, 291, 302, 313, 337, 350, 353, 359, 383, 420, 494] [4, 5, 13, 31, 62, 64, 79, 96, 131, 152, 192, 226, 287, 291, 292, 303, 314, 338, 351, 354, 360, 384, 421, 495] [5, 6, 14, 32, 63, 65, 80, 97, 132, 153, 193, 227, 288, 292, 293, 304, 315, 339, 352, 355, 361, 385, 422, 496] [6, 7, 15, 33, 64, 66, 81, 98, 133, 154, 194, 228, 289, 293, 294, 305, 316, 340, 353, 356, 362, 386, 423, 497] [7, 8, 16, 34, 65, 67, 82, 99, 134, 155, 195, 229, 290, 294, 295, 306, 317, 341, 354, 357, 363, 387, 424, 498] [8, 9, 17, 35, 66, 68, 83, 100, 135, 156, 196, 230, 291, 295, 296, 307, 318, 342, 355, 358, 364, 388, 425, 499] [9, 10, 18, 36, 67, 69, 84, 101, 136, 157, 197, 231, 292, 296, 297, 308, 319, 343, 356, 359, 365, 389, 426, 500] [10, 11, 19, 37, 68, 70, 85, 102, 137, 158, 198, 232, 293, 297, 298, 309, 320, 344, 357, 360, 366, 390, 427, 501] [11, 12, 20, 38, 69, 71, 86, 103, 138, 159, 199, 233, 251, 294, 298, 299, 310, 321, 345, 358, 361, 367, 391, 428] [12, 13, 21, 39, 70, 72, 87, 104, 139, 160, 200, 234, 252, 295, 299, 300, 311, 322, 346, 359, 362, 368, 392, 429] [13, 14, 22, 40, 71, 73, 88, 105, 140, 161, 201, 235, 253, 296, 300, 301, 312, 323, 347, 360, 363, 369, 393, 430] [14, 15, 23, 41, 72, 74, 89, 106, 141, 162, 202, 236, 254, 297, 301, 302, 313, 324, 348, 361, 364, 370, 394, 431] [15, 16, 24, 42, 73, 75, 90, 107, 142, 163, 203, 237, 255, 298, 302, 303, 314, 325, 349, 362, 365, 371, 395, 432] [16, 17, 25, 43, 74, 76, 91, 108, 143, 164, 204, 238, 256, 299, 303, 304, 315, 326, 350, 363, 366, 372, 396, 433] [17, 18, 26, 44, 75, 77, 92, 109, 144, 165, 205, 239, 257, 300, 304, 305, 316, 327, 351, 364, 367, 373, 397, 434] [18, 19, 27, 45, 76, 78, 93, 110, 145, 166, 206, 240, 258, 301, 305, 306, 317, 328, 352, 365, 368, 374, 398, 435] [19, 20, 28, 46, 77, 79, 94, 111, 146, 167, 207, 241, 259, 302, 306, 307, 318, 329, 353, 366, 369, 375, 399, 436] [20, 21, 29, 47, 78, 80, 95, 112, 147, 168, 208, 242, 260, 303, 307, 308, 319, 330, 354, 367, 370, 376, 400, 437] [21, 22, 30, 48, 79, 81, 96, 113, 148, 169, 209, 243, 261, 304, 308, 309, 320, 331, 355, 368, 371, 377, 401, 438] [22, 23, 31, 49, 80, 82, 97, 114, 149, 170, 210, 244, 262, 305, 309, 310, 321, 332, 356, 369, 372, 378, 402, 439] [23, 24, 32, 50, 81, 83, 98, 115, 150, 171, 211, 245, 263, 306, 310, 311, 322, 333, 357, 370, 373, 379, 403, 440] [24, 25, 33, 51, 82, 84, 99, 116, 151, 172, 212, 246, 264, 307, 311, 312, 323, 334, 358, 371, 374, 380, 404, 441] [25, 26, 34, 52, 83, 85, 100, 117, 152, 173, 213, 247, 265, 308, 312, 313, 324, 335, 359, 372, 375, 381, 405, 442] [26, 27, 35, 53, 84, 86, 101, 118, 153, 174, 214, 248, 266, 309, 313, 314, 325, 336, 360, 373, 376, 382, 406, 443] [27, 28, 36, 54, 85, 87, 102, 119, 154, 175, 215, 249, 267, 310, 314, 315, 326, 337, 361, 374, 377, 383, 407, 444] [28, 29, 37, 55, 86, 88, 103, 120, 155, 176, 216, 250, 268, 311, 315, 316, 327, 338, 362, 375, 378, 384, 408, 445] [0, 29, 30, 38, 56, 87, 89, 104, 121, 156, 177, 217, 269, 312, 316, 317, 328, 339, 363, 376, 379, 385, 409, 446] [1, 30, 31, 39, 57, 88, 90, 105, 122, 157, 178, 218, 270, 313, 317, 318, 329, 340, 364, 377, 380, 386, 410, 447] [2, 31, 32, 40, 58, 89, 91, 106, 123, 158, 179, 219, 271, 314, 318, 319, 330, 341, 365, 378, 381, 387, 411, 448] [3, 32, 33, 41, 59, 90, 92, 107, 124, 159, 180, 220, 272, 315, 319, 320, 331, 342, 366, 379, 382, 388, 412, 449] [4, 33, 34, 42, 60, 91, 93, 108, 125, 160, 181, 221, 273, 316, 320, 321, 332, 343, 367, 380, 383, 389, 413, 450] [5, 34, 35, 43, 61, 92, 94, 109, 126, 161, 182, 222, 274, 317, 321, 322, 333, 344, 368, 381, 384, 390, 414, 451] [6, 35, 36, 44, 62, 93, 95, 110, 127, 162, 183, 223, 275, 318, 322, 323, 334, 345, 369, 382, 385, 391, 415, 452] [7, 36, 37, 45, 63, 94, 96, 111, 128, 163, 184, 224, 276, 319, 323, 324, 335, 346, 370, 383, 386, 392, 416, 453] [8, 37, 38, 46, 64, 95, 97, 112, 129, 164, 185, 225, 277, 320, 324, 325, 336, 347, 371, 384, 387, 393, 417, 454] [9, 38, 39, 47, 65, 96, 98, 113, 130, 165, 186, 226, 278, 321, 325, 326, 337, 348, 372, 385, 388, 394, 418, 455] [10, 39, 40, 48, 66, 97, 99, 114, 131, 166, 187, 227, 279, 322, 326, 327, 338, 349, 373, 386, 389, 395, 419, 456] [11, 40, 41, 49, 67, 98, 100, 115, 132, 167, 188, 228, 280, 323, 327, 328, 339, 350, 374, 387, 390, 396, 420, 457] [12, 41, 42, 50, 68, 99, 101, 116, 133, 168, 189, 229, 281, 324, 328, 329, 340, 351, 375, 388, 391, 397, 421, 458] [13, 42, 43, 51, 69, 100, 102, 117, 134, 169, 190, 230, 282, 325, 329, 330, 341, 352, 376, 389, 392, 398, 422, 459] [14, 43, 44, 52, 70, 101, 103, 118, 135, 170, 191, 231, 283, 326, 330, 331, 342, 353, 377, 390, 393, 399, 423, 460] [15, 44, 45, 53, 71, 102, 104, 119, 136, 171, 192, 232, 284, 327, 331, 332, 343, 354, 378, 391, 394, 400, 424, 461] [16, 45, 46, 54, 72, 103, 105, 120, 137, 172, 193, 233, 285, 328, 332, 333, 344, 355, 379, 392, 395, 401, 425, 462] [17, 46, 47, 55, 73, 104, 106, 121, 138, 173, 194, 234, 286, 329, 333, 334, 345, 356, 380, 393, 396, 402, 426, 463] [18, 47, 48, 56, 74, 105, 107, 122, 139, 174, 195, 235, 287, 330, 334, 335, 346, 357, 381, 394, 397, 403, 427, 464] [19, 48, 49, 57, 75, 106, 108, 123, 140, 175, 196, 236, 288, 331, 335, 336, 347, 358, 382, 395, 398, 404, 428, 465] [20, 49, 50, 58, 76, 107, 109, 124, 141, 176, 197, 237, 289, 332, 336, 337, 348, 359, 383, 396, 399, 405, 429, 466] [21, 50, 51, 59, 77, 108, 110, 125, 142, 177, 198, 238, 290, 333, 337, 338, 349, 360, 384, 397, 400, 406, 430, 467] [22, 51, 52, 60, 78, 109, 111, 126, 143, 178, 199, 239, 291, 334, 338, 339, 350, 361, 385, 398, 401, 407, 431, 468] [23, 52, 53, 61, 79, 110, 112, 127, 144, 179, 200, 240, 292, 335, 339, 340, 351, 362, 386, 399, 402, 408, 432, 469] [24, 53, 54, 62, 80, 111, 113, 128, 145, 180, 201, 241, 293, 336, 340, 341, 352, 363, 387, 400, 403, 409, 433, 470] [25, 54, 55, 63, 81, 112, 114, 129, 146, 181, 202, 242, 294, 337, 341, 342, 353, 364, 388, 401, 404, 410, 434, 471] [26, 55, 56, 64, 82, 113, 115, 130, 147, 182, 203, 243, 295, 338, 342, 343, 354, 365, 389, 402, 405, 411, 435, 472] [27, 56, 57, 65, 83, 114, 116, 131, 148, 183, 204, 244, 296, 339, 343, 344, 355, 366, 390, 403, 406, 412, 436, 473] [28, 57, 58, 66, 84, 115, 117, 132, 149, 184, 205, 245, 297, 340, 344, 345, 356, 367, 391, 404, 407, 413, 437, 474] [29, 58, 59, 67, 85, 116, 118, 133, 150, 185, 206, 246, 298, 341, 345, 346, 357, 368, 392, 405, 408, 414, 438, 475] [30, 59, 60, 68, 86, 117, 119, 134, 151, 186, 207, 247, 299, 342, 346, 347, 358, 369, 393, 406, 409, 415, 439, 476] [31, 60, 61, 69, 87, 118, 120, 135, 152, 187, 208, 248, 300, 343, 347, 348, 359, 370, 394, 407, 410, 416, 440, 477] [32, 61, 62, 70, 88, 119, 121, 136, 153, 188, 209, 249, 301, 344, 348, 349, 360, 371, 395, 408, 411, 417, 441, 478] [33, 62, 63, 71, 89, 120, 122, 137, 154, 189, 210, 250, 302, 345, 349, 350, 361, 372, 396, 409, 412, 418, 442, 479] [0, 34, 63, 64, 72, 90, 121, 123, 138, 155, 190, 211, 303, 346, 350, 351, 362, 373, 397, 410, 413, 419, 443, 480] [1, 35, 64, 65, 73, 91, 122, 124, 139, 156, 191, 212, 304, 347, 351, 352, 363, 374, 398, 411, 414, 420, 444, 481] [2, 36, 65, 66, 74, 92, 123, 125, 140, 157, 192, 213, 305, 348, 352, 353, 364, 375, 399, 412, 415, 421, 445, 482] [3, 37, 66, 67, 75, 93, 124, 126, 141, 158, 193, 214, 306, 349, 353, 354, 365, 376, 400, 413, 416, 422, 446, 483] [4, 38, 67, 68, 76, 94, 125, 127, 142, 159, 194, 215, 307, 350, 354, 355, 366, 377, 401, 414, 417, 423, 447, 484] [5, 39, 68, 69, 77, 95, 126, 128, 143, 160, 195, 216, 308, 351, 355, 356, 367, 378, 402, 415, 418, 424, 448, 485] [6, 40, 69, 70, 78, 96, 127, 129, 144, 161, 196, 217, 309, 352, 356, 357, 368, 379, 403, 416, 419, 425, 449, 486] [7, 41, 70, 71, 79, 97, 128, 130, 145, 162, 197, 218, 310, 353, 357, 358, 369, 380, 404, 417, 420, 426, 450, 487] [8, 42, 71, 72, 80, 98, 129, 131, 146, 163, 198, 219, 311, 354, 358, 359, 370, 381, 405, 418, 421, 427, 451, 488] [9, 43, 72, 73, 81, 99, 130, 132, 147, 164, 199, 220, 312, 355, 359, 360, 371, 382, 406, 419, 422, 428, 452, 489] [10, 44, 73, 74, 82, 100, 131, 133, 148, 165, 200, 221, 313, 356, 360, 361, 372, 383, 407, 420, 423, 429, 453, 490] [11, 45, 74, 75, 83, 101, 132, 134, 149, 166, 201, 222, 314, 357, 361, 362, 373, 384, 408, 421, 424, 430, 454, 491] [12, 46, 75, 76, 84, 102, 133, 135, 150, 167, 202, 223, 315, 358, 362, 363, 374, 385, 409, 422, 425, 431, 455, 492] [13, 47, 76, 77, 85, 103, 134, 136, 151, 168, 203, 224, 316, 359, 363, 364, 375, 386, 410, 423, 426, 432, 456, 493] [14, 48, 77, 78, 86, 104, 135, 137, 152, 169, 204, 225, 317, 360, 364, 365, 376, 387, 411, 424, 427, 433, 457, 494] [15, 49, 78, 79, 87, 105, 136, 138, 153, 170, 205, 226, 318, 361, 365, 366, 377, 388, 412, 425, 428, 434, 458, 495] [16, 50, 79, 80, 88, 106, 137, 139, 154, 171, 206, 227, 319, 362, 366, 367, 378, 389, 413, 426, 429, 435, 459, 496] [17, 51, 80, 81, 89, 107, 138, 140, 155, 172, 207, 228, 320, 363, 367, 368, 379, 390, 414, 427, 430, 436, 460, 497] [18, 52, 81, 82, 90, 108, 139, 141, 156, 173, 208, 229, 321, 364, 368, 369, 380, 391, 415, 428, 431, 437, 461, 498] [19, 53, 82, 83, 91, 109, 140, 142, 157, 174, 209, 230, 322, 365, 369, 370, 381, 392, 416, 429, 432, 438, 462, 499] [20, 54, 83, 84, 92, 110, 141, 143, 158, 175, 210, 231, 323, 366, 370, 371, 382, 393, 417, 430, 433, 439, 463, 500] [21, 55, 84, 85, 93, 111, 142, 144, 159, 176, 211, 232, 324, 367, 371, 372, 383, 394, 418, 431, 434, 440, 464, 501] [22, 56, 85, 86, 94, 112, 143, 145, 160, 177, 212, 233, 251, 325, 368, 372, 373, 384, 395, 419, 432, 435, 441, 465] [23, 57, 86, 87, 95, 113, 144, 146, 161, 178, 213, 234, 252, 326, 369, 373, 374, 385, 396, 420, 433, 436, 442, 466] [24, 58, 87, 88, 96, 114, 145, 147, 162, 179, 214, 235, 253, 327, 370, 374, 375, 386, 397, 421, 434, 437, 443, 467] [25, 59, 88, 89, 97, 115, 146, 148, 163, 180, 215, 236, 254, 328, 371, 375, 376, 387, 398, 422, 435, 438, 444, 468] [26, 60, 89, 90, 98, 116, 147, 149, 164, 181, 216, 237, 255, 329, 372, 376, 377, 388, 399, 423, 436, 439, 445, 469] [27, 61, 90, 91, 99, 117, 148, 150, 165, 182, 217, 238, 256, 330, 373, 377, 378, 389, 400, 424, 437, 440, 446, 470] [28, 62, 91, 92, 100, 118, 149, 151, 166, 183, 218, 239, 257, 331, 374, 378, 379, 390, 401, 425, 438, 441, 447, 471] [29, 63, 92, 93, 101, 119, 150, 152, 167, 184, 219, 240, 258, 332, 375, 379, 380, 391, 402, 426, 439, 442, 448, 472] [30, 64, 93, 94, 102, 120, 151, 153, 168, 185, 220, 241, 259, 333, 376, 380, 381, 392, 403, 427, 440, 443, 449, 473] [31, 65, 94, 95, 103, 121, 152, 154, 169, 186, 221, 242, 260, 334, 377, 381, 382, 393, 404, 428, 441, 444, 450, 474] [32, 66, 95, 96, 104, 122, 153, 155, 170, 187, 222, 243, 261, 335, 378, 382, 383, 394, 405, 429, 442, 445, 451, 475] [33, 67, 96, 97, 105, 123, 154, 156, 171, 188, 223, 244, 262, 336, 379, 383, 384, 395, 406, 430, 443, 446, 452, 476] [34, 68, 97, 98, 106, 124, 155, 157, 172, 189, 224, 245, 263, 337, 380, 384, 385, 396, 407, 431, 444, 447, 453, 477] [35, 69, 98, 99, 107, 125, 156, 158, 173, 190, 225, 246, 264, 338, 381, 385, 386, 397, 408, 432, 445, 448, 454, 478] [36, 70, 99, 100, 108, 126, 157, 159, 174, 191, 226, 247, 265, 339, 382, 386, 387, 398, 409, 433, 446, 449, 455, 479] [37, 71, 100, 101, 109, 127, 158, 160, 175, 192, 227, 248, 266, 340, 383, 387, 388, 399, 410, 434, 447, 450, 456, 480] [38, 72, 101, 102, 110, 128, 159, 161, 176, 193, 228, 249, 267, 341, 384, 388, 389, 400, 411, 435, 448, 451, 457, 481] [39, 73, 102, 103, 111, 129, 160, 162, 177, 194, 229, 250, 268, 342, 385, 389, 390, 401, 412, 436, 449, 452, 458, 482] [0, 40, 74, 103, 104, 112, 130, 161, 163, 178, 195, 230, 269, 343, 386, 390, 391, 402, 413, 437, 450, 453, 459, 483] [1, 41, 75, 104, 105, 113, 131, 162, 164, 179, 196, 231, 270, 344, 387, 391, 392, 403, 414, 438, 451, 454, 460, 484] [2, 42, 76, 105, 106, 114, 132, 163, 165, 180, 197, 232, 271, 345, 388, 392, 393, 404, 415, 439, 452, 455, 461, 485] [3, 43, 77, 106, 107, 115, 133, 164, 166, 181, 198, 233, 272, 346, 389, 393, 394, 405, 416, 440, 453, 456, 462, 486] [4, 44, 78, 107, 108, 116, 134, 165, 167, 182, 199, 234, 273, 347, 390, 394, 395, 406, 417, 441, 454, 457, 463, 487] [5, 45, 79, 108, 109, 117, 135, 166, 168, 183, 200, 235, 274, 348, 391, 395, 396, 407, 418, 442, 455, 458, 464, 488] [6, 46, 80, 109, 110, 118, 136, 167, 169, 184, 201, 236, 275, 349, 392, 396, 397, 408, 419, 443, 456, 459, 465, 489] [7, 47, 81, 110, 111, 119, 137, 168, 170, 185, 202, 237, 276, 350, 393, 397, 398, 409, 420, 444, 457, 460, 466, 490] [8, 48, 82, 111, 112, 120, 138, 169, 171, 186, 203, 238, 277, 351, 394, 398, 399, 410, 421, 445, 458, 461, 467, 491] [9, 49, 83, 112, 113, 121, 139, 170, 172, 187, 204, 239, 278, 352, 395, 399, 400, 411, 422, 446, 459, 462, 468, 492] [10, 50, 84, 113, 114, 122, 140, 171, 173, 188, 205, 240, 279, 353, 396, 400, 401, 412, 423, 447, 460, 463, 469, 493] [11, 51, 85, 114, 115, 123, 141, 172, 174, 189, 206, 241, 280, 354, 397, 401, 402, 413, 424, 448, 461, 464, 470, 494] [12, 52, 86, 115, 116, 124, 142, 173, 175, 190, 207, 242, 281, 355, 398, 402, 403, 414, 425, 449, 462, 465, 471, 495] [13, 53, 87, 116, 117, 125, 143, 174, 176, 191, 208, 243, 282, 356, 399, 403, 404, 415, 426, 450, 463, 466, 472, 496] [14, 54, 88, 117, 118, 126, 144, 175, 177, 192, 209, 244, 283, 357, 400, 404, 405, 416, 427, 451, 464, 467, 473, 497] [15, 55, 89, 118, 119, 127, 145, 176, 178, 193, 210, 245, 284, 358, 401, 405, 406, 417, 428, 452, 465, 468, 474, 498] [16, 56, 90, 119, 120, 128, 146, 177, 179, 194, 211, 246, 285, 359, 402, 406, 407, 418, 429, 453, 466, 469, 475, 499] [17, 57, 91, 120, 121, 129, 147, 178, 180, 195, 212, 247, 286, 360, 403, 407, 408, 419, 430, 454, 467, 470, 476, 500] [18, 58, 92, 121, 122, 130, 148, 179, 181, 196, 213, 248, 287, 361, 404, 408, 409, 420, 431, 455, 468, 471, 477, 501] [19, 59, 93, 122, 123, 131, 149, 180, 182, 197, 214, 249, 251, 288, 362, 405, 409, 410, 421, 432, 456, 469, 472, 478] [20, 60, 94, 123, 124, 132, 150, 181, 183, 198, 215, 250, 252, 289, 363, 406, 410, 411, 422, 433, 457, 470, 473, 479] [0, 21, 61, 95, 124, 125, 133, 151, 182, 184, 199, 216, 253, 290, 364, 407, 411, 412, 423, 434, 458, 471, 474, 480] [1, 22, 62, 96, 125, 126, 134, 152, 183, 185, 200, 217, 254, 291, 365, 408, 412, 413, 424, 435, 459, 472, 475, 481] [2, 23, 63, 97, 126, 127, 135, 153, 184, 186, 201, 218, 255, 292, 366, 409, 413, 414, 425, 436, 460, 473, 476, 482] [3, 24, 64, 98, 127, 128, 136, 154, 185, 187, 202, 219, 256, 293, 367, 410, 414, 415, 426, 437, 461, 474, 477, 483] [4, 25, 65, 99, 128, 129, 137, 155, 186, 188, 203, 220, 257, 294, 368, 411, 415, 416, 427, 438, 462, 475, 478, 484] [5, 26, 66, 100, 129, 130, 138, 156, 187, 189, 204, 221, 258, 295, 369, 412, 416, 417, 428, 439, 463, 476, 479, 485] [6, 27, 67, 101, 130, 131, 139, 157, 188, 190, 205, 222, 259, 296, 370, 413, 417, 418, 429, 440, 464, 477, 480, 486] [7, 28, 68, 102, 131, 132, 140, 158, 189, 191, 206, 223, 260, 297, 371, 414, 418, 419, 430, 441, 465, 478, 481, 487] [8, 29, 69, 103, 132, 133, 141, 159, 190, 192, 207, 224, 261, 298, 372, 415, 419, 420, 431, 442, 466, 479, 482, 488] [9, 30, 70, 104, 133, 134, 142, 160, 191, 193, 208, 225, 262, 299, 373, 416, 420, 421, 432, 443, 467, 480, 483, 489] [10, 31, 71, 105, 134, 135, 143, 161, 192, 194, 209, 226, 263, 300, 374, 417, 421, 422, 433, 444, 468, 481, 484, 490] [11, 32, 72, 106, 135, 136, 144, 162, 193, 195, 210, 227, 264, 301, 375, 418, 422, 423, 434, 445, 469, 482, 485, 491] [12, 33, 73, 107, 136, 137, 145, 163, 194, 196, 211, 228, 265, 302, 376, 419, 423, 424, 435, 446, 470, 483, 486, 492] [13, 34, 74, 108, 137, 138, 146, 164, 195, 197, 212, 229, 266, 303, 377, 420, 424, 425, 436, 447, 471, 484, 487, 493] [14, 35, 75, 109, 138, 139, 147, 165, 196, 198, 213, 230, 267, 304, 378, 421, 425, 426, 437, 448, 472, 485, 488, 494] [15, 36, 76, 110, 139, 140, 148, 166, 197, 199, 214, 231, 268, 305, 379, 422, 426, 427, 438, 449, 473, 486, 489, 495] [16, 37, 77, 111, 140, 141, 149, 167, 198, 200, 215, 232, 269, 306, 380, 423, 427, 428, 439, 450, 474, 487, 490, 496] [17, 38, 78, 112, 141, 142, 150, 168, 199, 201, 216, 233, 270, 307, 381, 424, 428, 429, 440, 451, 475, 488, 491, 497] [18, 39, 79, 113, 142, 143, 151, 169, 200, 202, 217, 234, 271, 308, 382, 425, 429, 430, 441, 452, 476, 489, 492, 498] [19, 40, 80, 114, 143, 144, 152, 170, 201, 203, 218, 235, 272, 309, 383, 426, 430, 431, 442, 453, 477, 490, 493, 499] [20, 41, 81, 115, 144, 145, 153, 171, 202, 204, 219, 236, 273, 310, 384, 427, 431, 432, 443, 454, 478, 491, 494, 500] [21, 42, 82, 116, 145, 146, 154, 172, 203, 205, 220, 237, 274, 311, 385, 428, 432, 433, 444, 455, 479, 492, 495, 501] [22, 43, 83, 117, 146, 147, 155, 173, 204, 206, 221, 238, 251, 275, 312, 386, 429, 433, 434, 445, 456, 480, 493, 496] [23, 44, 84, 118, 147, 148, 156, 174, 205, 207, 222, 239, 252, 276, 313, 387, 430, 434, 435, 446, 457, 481, 494, 497] [24, 45, 85, 119, 148, 149, 157, 175, 206, 208, 223, 240, 253, 277, 314, 388, 431, 435, 436, 447, 458, 482, 495, 498] [25, 46, 86, 120, 149, 150, 158, 176, 207, 209, 224, 241, 254, 278, 315, 389, 432, 436, 437, 448, 459, 483, 496, 499] [26, 47, 87, 121, 150, 151, 159, 177, 208, 210, 225, 242, 255, 279, 316, 390, 433, 437, 438, 449, 460, 484, 497, 500] [27, 48, 88, 122, 151, 152, 160, 178, 209, 211, 226, 243, 256, 280, 317, 391, 434, 438, 439, 450, 461, 485, 498, 501] [28, 49, 89, 123, 152, 153, 161, 179, 210, 212, 227, 244, 251, 257, 281, 318, 392, 435, 439, 440, 451, 462, 486, 499] [29, 50, 90, 124, 153, 154, 162, 180, 211, 213, 228, 245, 252, 258, 282, 319, 393, 436, 440, 441, 452, 463, 487, 500] [30, 51, 91, 125, 154, 155, 163, 181, 212, 214, 229, 246, 253, 259, 283, 320, 394, 437, 441, 442, 453, 464, 488, 501] [31, 52, 92, 126, 155, 156, 164, 182, 213, 215, 230, 247, 251, 254, 260, 284, 321, 395, 438, 442, 443, 454, 465, 489] [32, 53, 93, 127, 156, 157, 165, 183, 214, 216, 231, 248, 252, 255, 261, 285, 322, 396, 439, 443, 444, 455, 466, 490] [33, 54, 94, 128, 157, 158, 166, 184, 215, 217, 232, 249, 253, 256, 262, 286, 323, 397, 440, 444, 445, 456, 467, 491] [34, 55, 95, 129, 158, 159, 167, 185, 216, 218, 233, 250, 254, 257, 263, 287, 324, 398, 441, 445, 446, 457, 468, 492] [0, 35, 56, 96, 130, 159, 160, 168, 186, 217, 219, 234, 255, 258, 264, 288, 325, 399, 442, 446, 447, 458, 469, 493] [1, 36, 57, 97, 131, 160, 161, 169, 187, 218, 220, 235, 256, 259, 265, 289, 326, 400, 443, 447, 448, 459, 470, 494] [2, 37, 58, 98, 132, 161, 162, 170, 188, 219, 221, 236, 257, 260, 266, 290, 327, 401, 444, 448, 449, 460, 471, 495]

H_Z (251 checks, sparse supports)

[6, 30, 41, 52, 53, 57, 100, 174, 211, 235, 241, 244, 265, 280, 282, 313, 331, 339, 340, 369, 403, 443, 464, 499] [7, 31, 42, 53, 54, 58, 101, 175, 212, 236, 242, 245, 266, 281, 283, 314, 332, 340, 341, 370, 404, 444, 465, 500] [8, 32, 43, 54, 55, 59, 102, 176, 213, 237, 243, 246, 267, 282, 284, 315, 333, 341, 342, 371, 405, 445, 466, 501] [9, 33, 44, 55, 56, 60, 103, 177, 214, 238, 244, 247, 251, 268, 283, 285, 316, 334, 342, 343, 372, 406, 446, 467] [10, 34, 45, 56, 57, 61, 104, 178, 215, 239, 245, 248, 252, 269, 284, 286, 317, 335, 343, 344, 373, 407, 447, 468] [11, 35, 46, 57, 58, 62, 105, 179, 216, 240, 246, 249, 253, 270, 285, 287, 318, 336, 344, 345, 374, 408, 448, 469] [12, 36, 47, 58, 59, 63, 106, 180, 217, 241, 247, 250, 254, 271, 286, 288, 319, 337, 345, 346, 375, 409, 449, 470] [0, 13, 37, 48, 59, 60, 64, 107, 181, 218, 242, 248, 255, 272, 287, 289, 320, 338, 346, 347, 376, 410, 450, 471] [1, 14, 38, 49, 60, 61, 65, 108, 182, 219, 243, 249, 256, 273, 288, 290, 321, 339, 347, 348, 377, 411, 451, 472] [2, 15, 39, 50, 61, 62, 66, 109, 183, 220, 244, 250, 257, 274, 289, 291, 322, 340, 348, 349, 378, 412, 452, 473] [0, 3, 16, 40, 51, 62, 63, 67, 110, 184, 221, 245, 258, 275, 290, 292, 323, 341, 349, 350, 379, 413, 453, 474] [1, 4, 17, 41, 52, 63, 64, 68, 111, 185, 222, 246, 259, 276, 291, 293, 324, 342, 350, 351, 380, 414, 454, 475] [2, 5, 18, 42, 53, 64, 65, 69, 112, 186, 223, 247, 260, 277, 292, 294, 325, 343, 351, 352, 381, 415, 455, 476] [3, 6, 19, 43, 54, 65, 66, 70, 113, 187, 224, 248, 261, 278, 293, 295, 326, 344, 352, 353, 382, 416, 456, 477] [4, 7, 20, 44, 55, 66, 67, 71, 114, 188, 225, 249, 262, 279, 294, 296, 327, 345, 353, 354, 383, 417, 457, 478] [5, 8, 21, 45, 56, 67, 68, 72, 115, 189, 226, 250, 263, 280, 295, 297, 328, 346, 354, 355, 384, 418, 458, 479] [0, 6, 9, 22, 46, 57, 68, 69, 73, 116, 190, 227, 264, 281, 296, 298, 329, 347, 355, 356, 385, 419, 459, 480] [1, 7, 10, 23, 47, 58, 69, 70, 74, 117, 191, 228, 265, 282, 297, 299, 330, 348, 356, 357, 386, 420, 460, 481] [2, 8, 11, 24, 48, 59, 70, 71, 75, 118, 192, 229, 266, 283, 298, 300, 331, 349, 357, 358, 387, 421, 461, 482] [3, 9, 12, 25, 49, 60, 71, 72, 76, 119, 193, 230, 267, 284, 299, 301, 332, 350, 358, 359, 388, 422, 462, 483] [4, 10, 13, 26, 50, 61, 72, 73, 77, 120, 194, 231, 268, 285, 300, 302, 333, 351, 359, 360, 389, 423, 463, 484] [5, 11, 14, 27, 51, 62, 73, 74, 78, 121, 195, 232, 269, 286, 301, 303, 334, 352, 360, 361, 390, 424, 464, 485] [6, 12, 15, 28, 52, 63, 74, 75, 79, 122, 196, 233, 270, 287, 302, 304, 335, 353, 361, 362, 391, 425, 465, 486] [7, 13, 16, 29, 53, 64, 75, 76, 80, 123, 197, 234, 271, 288, 303, 305, 336, 354, 362, 363, 392, 426, 466, 487] [8, 14, 17, 30, 54, 65, 76, 77, 81, 124, 198, 235, 272, 289, 304, 306, 337, 355, 363, 364, 393, 427, 467, 488] [9, 15, 18, 31, 55, 66, 77, 78, 82, 125, 199, 236, 273, 290, 305, 307, 338, 356, 364, 365, 394, 428, 468, 489] [10, 16, 19, 32, 56, 67, 78, 79, 83, 126, 200, 237, 274, 291, 306, 308, 339, 357, 365, 366, 395, 429, 469, 490] [11, 17, 20, 33, 57, 68, 79, 80, 84, 127, 201, 238, 275, 292, 307, 309, 340, 358, 366, 367, 396, 430, 470, 491] [12, 18, 21, 34, 58, 69, 80, 81, 85, 128, 202, 239, 276, 293, 308, 310, 341, 359, 367, 368, 397, 431, 471, 492] [13, 19, 22, 35, 59, 70, 81, 82, 86, 129, 203, 240, 277, 294, 309, 311, 342, 360, 368, 369, 398, 432, 472, 493] [14, 20, 23, 36, 60, 71, 82, 83, 87, 130, 204, 241, 278, 295, 310, 312, 343, 361, 369, 370, 399, 433, 473, 494] [15, 21, 24, 37, 61, 72, 83, 84, 88, 131, 205, 242, 279, 296, 311, 313, 344, 362, 370, 371, 400, 434, 474, 495] [16, 22, 25, 38, 62, 73, 84, 85, 89, 132, 206, 243, 280, 297, 312, 314, 345, 363, 371, 372, 401, 435, 475, 496] [17, 23, 26, 39, 63, 74, 85, 86, 90, 133, 207, 244, 281, 298, 313, 315, 346, 364, 372, 373, 402, 436, 476, 497] [18, 24, 27, 40, 64, 75, 86, 87, 91, 134, 208, 245, 282, 299, 314, 316, 347, 365, 373, 374, 403, 437, 477, 498] [19, 25, 28, 41, 65, 76, 87, 88, 92, 135, 209, 246, 283, 300, 315, 317, 348, 366, 374, 375, 404, 438, 478, 499] [20, 26, 29, 42, 66, 77, 88, 89, 93, 136, 210, 247, 284, 301, 316, 318, 349, 367, 375, 376, 405, 439, 479, 500] [21, 27, 30, 43, 67, 78, 89, 90, 94, 137, 211, 248, 285, 302, 317, 319, 350, 368, 376, 377, 406, 440, 480, 501] [22, 28, 31, 44, 68, 79, 90, 91, 95, 138, 212, 249, 251, 286, 303, 318, 320, 351, 369, 377, 378, 407, 441, 481] [23, 29, 32, 45, 69, 80, 91, 92, 96, 139, 213, 250, 252, 287, 304, 319, 321, 352, 370, 378, 379, 408, 442, 482] [0, 24, 30, 33, 46, 70, 81, 92, 93, 97, 140, 214, 253, 288, 305, 320, 322, 353, 371, 379, 380, 409, 443, 483] [1, 25, 31, 34, 47, 71, 82, 93, 94, 98, 141, 215, 254, 289, 306, 321, 323, 354, 372, 380, 381, 410, 444, 484] [2, 26, 32, 35, 48, 72, 83, 94, 95, 99, 142, 216, 255, 290, 307, 322, 324, 355, 373, 381, 382, 411, 445, 485] [3, 27, 33, 36, 49, 73, 84, 95, 96, 100, 143, 217, 256, 291, 308, 323, 325, 356, 374, 382, 383, 412, 446, 486] [4, 28, 34, 37, 50, 74, 85, 96, 97, 101, 144, 218, 257, 292, 309, 324, 326, 357, 375, 383, 384, 413, 447, 487] [5, 29, 35, 38, 51, 75, 86, 97, 98, 102, 145, 219, 258, 293, 310, 325, 327, 358, 376, 384, 385, 414, 448, 488] [6, 30, 36, 39, 52, 76, 87, 98, 99, 103, 146, 220, 259, 294, 311, 326, 328, 359, 377, 385, 386, 415, 449, 489] [7, 31, 37, 40, 53, 77, 88, 99, 100, 104, 147, 221, 260, 295, 312, 327, 329, 360, 378, 386, 387, 416, 450, 490] [8, 32, 38, 41, 54, 78, 89, 100, 101, 105, 148, 222, 261, 296, 313, 328, 330, 361, 379, 387, 388, 417, 451, 491] [9, 33, 39, 42, 55, 79, 90, 101, 102, 106, 149, 223, 262, 297, 314, 329, 331, 362, 380, 388, 389, 418, 452, 492] [10, 34, 40, 43, 56, 80, 91, 102, 103, 107, 150, 224, 263, 298, 315, 330, 332, 363, 381, 389, 390, 419, 453, 493] [11, 35, 41, 44, 57, 81, 92, 103, 104, 108, 151, 225, 264, 299, 316, 331, 333, 364, 382, 390, 391, 420, 454, 494] [12, 36, 42, 45, 58, 82, 93, 104, 105, 109, 152, 226, 265, 300, 317, 332, 334, 365, 383, 391, 392, 421, 455, 495] [13, 37, 43, 46, 59, 83, 94, 105, 106, 110, 153, 227, 266, 301, 318, 333, 335, 366, 384, 392, 393, 422, 456, 496] [14, 38, 44, 47, 60, 84, 95, 106, 107, 111, 154, 228, 267, 302, 319, 334, 336, 367, 385, 393, 394, 423, 457, 497] [15, 39, 45, 48, 61, 85, 96, 107, 108, 112, 155, 229, 268, 303, 320, 335, 337, 368, 386, 394, 395, 424, 458, 498] [16, 40, 46, 49, 62, 86, 97, 108, 109, 113, 156, 230, 269, 304, 321, 336, 338, 369, 387, 395, 396, 425, 459, 499] [17, 41, 47, 50, 63, 87, 98, 109, 110, 114, 157, 231, 270, 305, 322, 337, 339, 370, 388, 396, 397, 426, 460, 500] [18, 42, 48, 51, 64, 88, 99, 110, 111, 115, 158, 232, 271, 306, 323, 338, 340, 371, 389, 397, 398, 427, 461, 501] [19, 43, 49, 52, 65, 89, 100, 111, 112, 116, 159, 233, 251, 272, 307, 324, 339, 341, 372, 390, 398, 399, 428, 462] [20, 44, 50, 53, 66, 90, 101, 112, 113, 117, 160, 234, 252, 273, 308, 325, 340, 342, 373, 391, 399, 400, 429, 463] [21, 45, 51, 54, 67, 91, 102, 113, 114, 118, 161, 235, 253, 274, 309, 326, 341, 343, 374, 392, 400, 401, 430, 464] [22, 46, 52, 55, 68, 92, 103, 114, 115, 119, 162, 236, 254, 275, 310, 327, 342, 344, 375, 393, 401, 402, 431, 465] [23, 47, 53, 56, 69, 93, 104, 115, 116, 120, 163, 237, 255, 276, 311, 328, 343, 345, 376, 394, 402, 403, 432, 466] [24, 48, 54, 57, 70, 94, 105, 116, 117, 121, 164, 238, 256, 277, 312, 329, 344, 346, 377, 395, 403, 404, 433, 467] [25, 49, 55, 58, 71, 95, 106, 117, 118, 122, 165, 239, 257, 278, 313, 330, 345, 347, 378, 396, 404, 405, 434, 468] [26, 50, 56, 59, 72, 96, 107, 118, 119, 123, 166, 240, 258, 279, 314, 331, 346, 348, 379, 397, 405, 406, 435, 469] [27, 51, 57, 60, 73, 97, 108, 119, 120, 124, 167, 241, 259, 280, 315, 332, 347, 349, 380, 398, 406, 407, 436, 470] [28, 52, 58, 61, 74, 98, 109, 120, 121, 125, 168, 242, 260, 281, 316, 333, 348, 350, 381, 399, 407, 408, 437, 471] [29, 53, 59, 62, 75, 99, 110, 121, 122, 126, 169, 243, 261, 282, 317, 334, 349, 351, 382, 400, 408, 409, 438, 472] [30, 54, 60, 63, 76, 100, 111, 122, 123, 127, 170, 244, 262, 283, 318, 335, 350, 352, 383, 401, 409, 410, 439, 473] [31, 55, 61, 64, 77, 101, 112, 123, 124, 128, 171, 245, 263, 284, 319, 336, 351, 353, 384, 402, 410, 411, 440, 474] [32, 56, 62, 65, 78, 102, 113, 124, 125, 129, 172, 246, 264, 285, 320, 337, 352, 354, 385, 403, 411, 412, 441, 475] [33, 57, 63, 66, 79, 103, 114, 125, 126, 130, 173, 247, 265, 286, 321, 338, 353, 355, 386, 404, 412, 413, 442, 476] [34, 58, 64, 67, 80, 104, 115, 126, 127, 131, 174, 248, 266, 287, 322, 339, 354, 356, 387, 405, 413, 414, 443, 477] [35, 59, 65, 68, 81, 105, 116, 127, 128, 132, 175, 249, 267, 288, 323, 340, 355, 357, 388, 406, 414, 415, 444, 478] [36, 60, 66, 69, 82, 106, 117, 128, 129, 133, 176, 250, 268, 289, 324, 341, 356, 358, 389, 407, 415, 416, 445, 479] [0, 37, 61, 67, 70, 83, 107, 118, 129, 130, 134, 177, 269, 290, 325, 342, 357, 359, 390, 408, 416, 417, 446, 480] [1, 38, 62, 68, 71, 84, 108, 119, 130, 131, 135, 178, 270, 291, 326, 343, 358, 360, 391, 409, 417, 418, 447, 481] [2, 39, 63, 69, 72, 85, 109, 120, 131, 132, 136, 179, 271, 292, 327, 344, 359, 361, 392, 410, 418, 419, 448, 482] [3, 40, 64, 70, 73, 86, 110, 121, 132, 133, 137, 180, 272, 293, 328, 345, 360, 362, 393, 411, 419, 420, 449, 483] [4, 41, 65, 71, 74, 87, 111, 122, 133, 134, 138, 181, 273, 294, 329, 346, 361, 363, 394, 412, 420, 421, 450, 484] [5, 42, 66, 72, 75, 88, 112, 123, 134, 135, 139, 182, 274, 295, 330, 347, 362, 364, 395, 413, 421, 422, 451, 485] [6, 43, 67, 73, 76, 89, 113, 124, 135, 136, 140, 183, 275, 296, 331, 348, 363, 365, 396, 414, 422, 423, 452, 486] [7, 44, 68, 74, 77, 90, 114, 125, 136, 137, 141, 184, 276, 297, 332, 349, 364, 366, 397, 415, 423, 424, 453, 487] [8, 45, 69, 75, 78, 91, 115, 126, 137, 138, 142, 185, 277, 298, 333, 350, 365, 367, 398, 416, 424, 425, 454, 488] [9, 46, 70, 76, 79, 92, 116, 127, 138, 139, 143, 186, 278, 299, 334, 351, 366, 368, 399, 417, 425, 426, 455, 489] [10, 47, 71, 77, 80, 93, 117, 128, 139, 140, 144, 187, 279, 300, 335, 352, 367, 369, 400, 418, 426, 427, 456, 490] [11, 48, 72, 78, 81, 94, 118, 129, 140, 141, 145, 188, 280, 301, 336, 353, 368, 370, 401, 419, 427, 428, 457, 491] [12, 49, 73, 79, 82, 95, 119, 130, 141, 142, 146, 189, 281, 302, 337, 354, 369, 371, 402, 420, 428, 429, 458, 492] [13, 50, 74, 80, 83, 96, 120, 131, 142, 143, 147, 190, 282, 303, 338, 355, 370, 372, 403, 421, 429, 430, 459, 493] [14, 51, 75, 81, 84, 97, 121, 132, 143, 144, 148, 191, 283, 304, 339, 356, 371, 373, 404, 422, 430, 431, 460, 494] [15, 52, 76, 82, 85, 98, 122, 133, 144, 145, 149, 192, 284, 305, 340, 357, 372, 374, 405, 423, 431, 432, 461, 495] [16, 53, 77, 83, 86, 99, 123, 134, 145, 146, 150, 193, 285, 306, 341, 358, 373, 375, 406, 424, 432, 433, 462, 496] [17, 54, 78, 84, 87, 100, 124, 135, 146, 147, 151, 194, 286, 307, 342, 359, 374, 376, 407, 425, 433, 434, 463, 497] [18, 55, 79, 85, 88, 101, 125, 136, 147, 148, 152, 195, 287, 308, 343, 360, 375, 377, 408, 426, 434, 435, 464, 498] [19, 56, 80, 86, 89, 102, 126, 137, 148, 149, 153, 196, 288, 309, 344, 361, 376, 378, 409, 427, 435, 436, 465, 499] [20, 57, 81, 87, 90, 103, 127, 138, 149, 150, 154, 197, 289, 310, 345, 362, 377, 379, 410, 428, 436, 437, 466, 500] [21, 58, 82, 88, 91, 104, 128, 139, 150, 151, 155, 198, 290, 311, 346, 363, 378, 380, 411, 429, 437, 438, 467, 501] [22, 59, 83, 89, 92, 105, 129, 140, 151, 152, 156, 199, 251, 291, 312, 347, 364, 379, 381, 412, 430, 438, 439, 468] [23, 60, 84, 90, 93, 106, 130, 141, 152, 153, 157, 200, 252, 292, 313, 348, 365, 380, 382, 413, 431, 439, 440, 469] [24, 61, 85, 91, 94, 107, 131, 142, 153, 154, 158, 201, 253, 293, 314, 349, 366, 381, 383, 414, 432, 440, 441, 470] [25, 62, 86, 92, 95, 108, 132, 143, 154, 155, 159, 202, 254, 294, 315, 350, 367, 382, 384, 415, 433, 441, 442, 471] [26, 63, 87, 93, 96, 109, 133, 144, 155, 156, 160, 203, 255, 295, 316, 351, 368, 383, 385, 416, 434, 442, 443, 472] [27, 64, 88, 94, 97, 110, 134, 145, 156, 157, 161, 204, 256, 296, 317, 352, 369, 384, 386, 417, 435, 443, 444, 473] [28, 65, 89, 95, 98, 111, 135, 146, 157, 158, 162, 205, 257, 297, 318, 353, 370, 385, 387, 418, 436, 444, 445, 474] [29, 66, 90, 96, 99, 112, 136, 147, 158, 159, 163, 206, 258, 298, 319, 354, 371, 386, 388, 419, 437, 445, 446, 475] [30, 67, 91, 97, 100, 113, 137, 148, 159, 160, 164, 207, 259, 299, 320, 355, 372, 387, 389, 420, 438, 446, 447, 476] [31, 68, 92, 98, 101, 114, 138, 149, 160, 161, 165, 208, 260, 300, 321, 356, 373, 388, 390, 421, 439, 447, 448, 477] [32, 69, 93, 99, 102, 115, 139, 150, 161, 162, 166, 209, 261, 301, 322, 357, 374, 389, 391, 422, 440, 448, 449, 478] [33, 70, 94, 100, 103, 116, 140, 151, 162, 163, 167, 210, 262, 302, 323, 358, 375, 390, 392, 423, 441, 449, 450, 479] [34, 71, 95, 101, 104, 117, 141, 152, 163, 164, 168, 211, 263, 303, 324, 359, 376, 391, 393, 424, 442, 450, 451, 480] [35, 72, 96, 102, 105, 118, 142, 153, 164, 165, 169, 212, 264, 304, 325, 360, 377, 392, 394, 425, 443, 451, 452, 481] [36, 73, 97, 103, 106, 119, 143, 154, 165, 166, 170, 213, 265, 305, 326, 361, 378, 393, 395, 426, 444, 452, 453, 482] [37, 74, 98, 104, 107, 120, 144, 155, 166, 167, 171, 214, 266, 306, 327, 362, 379, 394, 396, 427, 445, 453, 454, 483] [38, 75, 99, 105, 108, 121, 145, 156, 167, 168, 172, 215, 267, 307, 328, 363, 380, 395, 397, 428, 446, 454, 455, 484] [39, 76, 100, 106, 109, 122, 146, 157, 168, 169, 173, 216, 268, 308, 329, 364, 381, 396, 398, 429, 447, 455, 456, 485] [40, 77, 101, 107, 110, 123, 147, 158, 169, 170, 174, 217, 269, 309, 330, 365, 382, 397, 399, 430, 448, 456, 457, 486] [41, 78, 102, 108, 111, 124, 148, 159, 170, 171, 175, 218, 270, 310, 331, 366, 383, 398, 400, 431, 449, 457, 458, 487] [42, 79, 103, 109, 112, 125, 149, 160, 171, 172, 176, 219, 271, 311, 332, 367, 384, 399, 401, 432, 450, 458, 459, 488] [43, 80, 104, 110, 113, 126, 150, 161, 172, 173, 177, 220, 272, 312, 333, 368, 385, 400, 402, 433, 451, 459, 460, 489] [44, 81, 105, 111, 114, 127, 151, 162, 173, 174, 178, 221, 273, 313, 334, 369, 386, 401, 403, 434, 452, 460, 461, 490] [45, 82, 106, 112, 115, 128, 152, 163, 174, 175, 179, 222, 274, 314, 335, 370, 387, 402, 404, 435, 453, 461, 462, 491] [46, 83, 107, 113, 116, 129, 153, 164, 175, 176, 180, 223, 275, 315, 336, 371, 388, 403, 405, 436, 454, 462, 463, 492] [47, 84, 108, 114, 117, 130, 154, 165, 176, 177, 181, 224, 276, 316, 337, 372, 389, 404, 406, 437, 455, 463, 464, 493] [48, 85, 109, 115, 118, 131, 155, 166, 177, 178, 182, 225, 277, 317, 338, 373, 390, 405, 407, 438, 456, 464, 465, 494] [49, 86, 110, 116, 119, 132, 156, 167, 178, 179, 183, 226, 278, 318, 339, 374, 391, 406, 408, 439, 457, 465, 466, 495] [50, 87, 111, 117, 120, 133, 157, 168, 179, 180, 184, 227, 279, 319, 340, 375, 392, 407, 409, 440, 458, 466, 467, 496] [51, 88, 112, 118, 121, 134, 158, 169, 180, 181, 185, 228, 280, 320, 341, 376, 393, 408, 410, 441, 459, 467, 468, 497] [52, 89, 113, 119, 122, 135, 159, 170, 181, 182, 186, 229, 281, 321, 342, 377, 394, 409, 411, 442, 460, 468, 469, 498] [53, 90, 114, 120, 123, 136, 160, 171, 182, 183, 187, 230, 282, 322, 343, 378, 395, 410, 412, 443, 461, 469, 470, 499] [54, 91, 115, 121, 124, 137, 161, 172, 183, 184, 188, 231, 283, 323, 344, 379, 396, 411, 413, 444, 462, 470, 471, 500] [55, 92, 116, 122, 125, 138, 162, 173, 184, 185, 189, 232, 284, 324, 345, 380, 397, 412, 414, 445, 463, 471, 472, 501] [56, 93, 117, 123, 126, 139, 163, 174, 185, 186, 190, 233, 251, 285, 325, 346, 381, 398, 413, 415, 446, 464, 472, 473] [57, 94, 118, 124, 127, 140, 164, 175, 186, 187, 191, 234, 252, 286, 326, 347, 382, 399, 414, 416, 447, 465, 473, 474] [58, 95, 119, 125, 128, 141, 165, 176, 187, 188, 192, 235, 253, 287, 327, 348, 383, 400, 415, 417, 448, 466, 474, 475] [59, 96, 120, 126, 129, 142, 166, 177, 188, 189, 193, 236, 254, 288, 328, 349, 384, 401, 416, 418, 449, 467, 475, 476] [60, 97, 121, 127, 130, 143, 167, 178, 189, 190, 194, 237, 255, 289, 329, 350, 385, 402, 417, 419, 450, 468, 476, 477] [61, 98, 122, 128, 131, 144, 168, 179, 190, 191, 195, 238, 256, 290, 330, 351, 386, 403, 418, 420, 451, 469, 477, 478] [62, 99, 123, 129, 132, 145, 169, 180, 191, 192, 196, 239, 257, 291, 331, 352, 387, 404, 419, 421, 452, 470, 478, 479] [63, 100, 124, 130, 133, 146, 170, 181, 192, 193, 197, 240, 258, 292, 332, 353, 388, 405, 420, 422, 453, 471, 479, 480] [64, 101, 125, 131, 134, 147, 171, 182, 193, 194, 198, 241, 259, 293, 333, 354, 389, 406, 421, 423, 454, 472, 480, 481] [65, 102, 126, 132, 135, 148, 172, 183, 194, 195, 199, 242, 260, 294, 334, 355, 390, 407, 422, 424, 455, 473, 481, 482] [66, 103, 127, 133, 136, 149, 173, 184, 195, 196, 200, 243, 261, 295, 335, 356, 391, 408, 423, 425, 456, 474, 482, 483] [67, 104, 128, 134, 137, 150, 174, 185, 196, 197, 201, 244, 262, 296, 336, 357, 392, 409, 424, 426, 457, 475, 483, 484] [68, 105, 129, 135, 138, 151, 175, 186, 197, 198, 202, 245, 263, 297, 337, 358, 393, 410, 425, 427, 458, 476, 484, 485] [69, 106, 130, 136, 139, 152, 176, 187, 198, 199, 203, 246, 264, 298, 338, 359, 394, 411, 426, 428, 459, 477, 485, 486] [70, 107, 131, 137, 140, 153, 177, 188, 199, 200, 204, 247, 265, 299, 339, 360, 395, 412, 427, 429, 460, 478, 486, 487] [71, 108, 132, 138, 141, 154, 178, 189, 200, 201, 205, 248, 266, 300, 340, 361, 396, 413, 428, 430, 461, 479, 487, 488] [72, 109, 133, 139, 142, 155, 179, 190, 201, 202, 206, 249, 267, 301, 341, 362, 397, 414, 429, 431, 462, 480, 488, 489] [73, 110, 134, 140, 143, 156, 180, 191, 202, 203, 207, 250, 268, 302, 342, 363, 398, 415, 430, 432, 463, 481, 489, 490] [0, 74, 111, 135, 141, 144, 157, 181, 192, 203, 204, 208, 269, 303, 343, 364, 399, 416, 431, 433, 464, 482, 490, 491] [1, 75, 112, 136, 142, 145, 158, 182, 193, 204, 205, 209, 270, 304, 344, 365, 400, 417, 432, 434, 465, 483, 491, 492] [2, 76, 113, 137, 143, 146, 159, 183, 194, 205, 206, 210, 271, 305, 345, 366, 401, 418, 433, 435, 466, 484, 492, 493] [3, 77, 114, 138, 144, 147, 160, 184, 195, 206, 207, 211, 272, 306, 346, 367, 402, 419, 434, 436, 467, 485, 493, 494] [4, 78, 115, 139, 145, 148, 161, 185, 196, 207, 208, 212, 273, 307, 347, 368, 403, 420, 435, 437, 468, 486, 494, 495] [5, 79, 116, 140, 146, 149, 162, 186, 197, 208, 209, 213, 274, 308, 348, 369, 404, 421, 436, 438, 469, 487, 495, 496] [6, 80, 117, 141, 147, 150, 163, 187, 198, 209, 210, 214, 275, 309, 349, 370, 405, 422, 437, 439, 470, 488, 496, 497] [7, 81, 118, 142, 148, 151, 164, 188, 199, 210, 211, 215, 276, 310, 350, 371, 406, 423, 438, 440, 471, 489, 497, 498] [8, 82, 119, 143, 149, 152, 165, 189, 200, 211, 212, 216, 277, 311, 351, 372, 407, 424, 439, 441, 472, 490, 498, 499] [9, 83, 120, 144, 150, 153, 166, 190, 201, 212, 213, 217, 278, 312, 352, 373, 408, 425, 440, 442, 473, 491, 499, 500] [10, 84, 121, 145, 151, 154, 167, 191, 202, 213, 214, 218, 279, 313, 353, 374, 409, 426, 441, 443, 474, 492, 500, 501] [11, 85, 122, 146, 152, 155, 168, 192, 203, 214, 215, 219, 251, 280, 314, 354, 375, 410, 427, 442, 444, 475, 493, 501] [12, 86, 123, 147, 153, 156, 169, 193, 204, 215, 216, 220, 251, 252, 281, 315, 355, 376, 411, 428, 443, 445, 476, 494] [13, 87, 124, 148, 154, 157, 170, 194, 205, 216, 217, 221, 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Code ID 502-2-75 · download JSON · raw on GitHub