diff --git a/src/renderer.rs b/src/renderer.rs index 44d01b2..29fbab4 100644 --- a/src/renderer.rs +++ b/src/renderer.rs @@ -707,8 +707,14 @@ fn get_sample(dimension: u32, i: u32, pixel_co: (u32, u32), seed: u32) -> f32 { n as f32 * (1.0 / (1u64 << 32) as f32) } n if (n - 1) < sobol::MAX_DIMENSION as u32 => { + let dim = n - 1; // Sobol sampling. - sobol::sample_owen(dimension - 1, i, hash_u32(dimension, scramble)) + // We skip the first three dimensions here because it gives better + // results on many scenes for some reason. This is likely worth + // investigating in the future, as it may indicate poor sampling + // elsewhere in the rendering pipeline (and skipping the first + // two dimensions may just mask it). + sobol::sample_owen(dim + 3, i, hash_u32(dim, scramble)) } _ => { // Random sampling. diff --git a/sub_crates/sobol/build.rs b/sub_crates/sobol/build.rs index 778ae40..eaa7ea8 100644 --- a/sub_crates/sobol/build.rs +++ b/sub_crates/sobol/build.rs @@ -6,6 +6,9 @@ use std::{env, fs::File, io::Write, path::Path}; /// How many components to generate. const NUM_DIMENSIONS: usize = 256; +/// What file to generate the numbers from. +const DIRECTION_NUMBERS_TEXT: &str = include_str!("direction_numbers/new-joe-kuo-5.1024.txt"); + fn main() { let out_dir = env::var("OUT_DIR").unwrap(); let dest_path = Path::new(&out_dir).join("vectors.inc"); @@ -34,20 +37,20 @@ fn main() { //====================================================================== -// The following code and data are adapted from code and data on this webpage: +// The following is adapted from the code on this webpage: // // http://web.maths.unsw.edu.au/~fkuo/sobol/ // // From these papers: // -// S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing Sobol's -// quasirandom sequence generator, ACM Trans. Math. Softw. 29, 49-57 -// (2003) +// * S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing Sobol's +// quasirandom sequence generator, ACM Trans. Math. Softw. 29, +// 49-57 (2003) // -// S. Joe and F. Y. Kuo, Constructing Sobol sequences with better -// two-dimensional projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008) +// * S. Joe and F. Y. Kuo, Constructing Sobol sequences with better +// two-dimensional projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008) // -// The adapted code and data is under the following license: +// The adapted code is under the following license: // // Copyright (c) 2008, Frances Y. Kuo and Stephen Joe // All rights reserved. @@ -85,8 +88,6 @@ fn main() { const SOBOL_BITS: usize = 32; pub fn generate_direction_vectors(dimensions: usize) -> Vec<[u32; SOBOL_BITS]> { - assert!(dimensions <= (SOBOL_NUMBERS.len() + 1)); - let mut vectors = Vec::new(); // Calculate first dimension, which is just the van der Corput sequence. @@ -97,14 +98,23 @@ pub fn generate_direction_vectors(dimensions: usize) -> Vec<[u32; SOBOL_BITS]> { vectors.push(dim_0); // Do the rest of the dimensions. - for dim in 1..dimensions { + let mut lines = DIRECTION_NUMBERS_TEXT.lines(); + for _ in 1..dimensions { let mut v = [0u32; SOBOL_BITS]; - let numbers = &SOBOL_NUMBERS[dim - 1]; - let s = numbers.1; - let a = numbers.2; - let m = numbers.3; + // Get data from the next valid line from the direction numbers text + // file. + let (s, a, m) = loop { + if let Ok((a, m)) = parse_direction_numbers( + lines + .next() + .expect("Not enough direction numbers for the requested number of dimensions."), + ) { + break (m.len(), a, m); + } + }; + // Generate the direction numbers for this dimension. if SOBOL_BITS <= s as usize { for i in 0..SOBOL_BITS { v[i] = m[i] << (31 - i); @@ -129,1030 +139,23 @@ pub fn generate_direction_vectors(dimensions: usize) -> Vec<[u32; SOBOL_BITS]> { vectors } -/// (d, s, a, m) -#[rustfmt::skip] -static SOBOL_NUMBERS: [(u32, u32, u32, &[u32]); 1023] = [ - (2, 1, 0, &[1]), - (3, 2, 1, &[1, 3]), - (4, 3, 1, &[1, 3, 1]), - (5, 3, 2, &[1, 1, 1]), - (6, 4, 1, &[1, 1, 3, 3]), - (7, 4, 4, &[1, 3, 5, 13]), - (8, 5, 2, &[1, 1, 5, 5, 17]), - (9, 5, 4, &[1, 1, 5, 5, 5]), - (10, 5, 7, &[1, 1, 7, 11, 19]), - (11, 5, 11, &[1, 1, 5, 1, 1]), - (12, 5, 13, &[1, 1, 1, 3, 11]), - (13, 5, 14, &[1, 3, 5, 5, 31]), - (14, 6, 1, &[1, 3, 3, 9, 7, 49]), - (15, 6, 13, &[1, 1, 1, 15, 21, 21]), - (16, 6, 16, &[1, 3, 1, 13, 27, 49]), - (17, 6, 19, &[1, 1, 1, 15, 7, 5]), - (18, 6, 22, &[1, 3, 1, 15, 13, 25]), - (19, 6, 25, &[1, 1, 5, 5, 19, 61]), - (20, 7, 1, &[1, 3, 7, 11, 23, 15, 103]), - (21, 7, 4, &[1, 3, 7, 13, 13, 15, 69]), - (22, 7, 7, &[1, 1, 3, 13, 7, 35, 63]), - (23, 7, 8, &[1, 3, 5, 9, 1, 25, 53]), - (24, 7, 14, &[1, 3, 1, 13, 9, 35, 107]), - (25, 7, 19, &[1, 3, 1, 5, 27, 61, 31]), - (26, 7, 21, &[1, 1, 5, 11, 19, 41, 61]), - (27, 7, 28, &[1, 3, 5, 3, 3, 13, 69]), - (28, 7, 31, &[1, 1, 7, 13, 1, 19, 1]), - (29, 7, 32, &[1, 3, 7, 5, 13, 19, 59]), - (30, 7, 37, &[1, 1, 3, 9, 25, 29, 41]), - (31, 7, 41, &[1, 3, 5, 13, 23, 1, 55]), - (32, 7, 42, &[1, 3, 7, 3, 13, 59, 17]), - (33, 7, 50, &[1, 3, 1, 3, 5, 53, 69]), - (34, 7, 55, &[1, 1, 5, 5, 23, 33, 13]), - (35, 7, 56, &[1, 1, 7, 7, 1, 61, 123]), - (36, 7, 59, &[1, 1, 7, 9, 13, 61, 49]), - (37, 7, 62, &[1, 3, 3, 5, 3, 55, 33]), - (38, 8, 14, &[1, 3, 1, 15, 31, 13, 49, 245]), - (39, 8, 21, &[1, 3, 5, 15, 31, 59, 63, 97]), - (40, 8, 22, &[1, 3, 1, 11, 11, 11, 77, 249]), - (41, 8, 38, &[1, 3, 1, 11, 27, 43, 71, 9]), - (42, 8, 47, &[1, 1, 7, 15, 21, 11, 81, 45]), - (43, 8, 49, &[1, 3, 7, 3, 25, 31, 65, 79]), - (44, 8, 50, &[1, 3, 1, 1, 19, 11, 3, 205]), - (45, 8, 52, &[1, 1, 5, 9, 19, 21, 29, 157]), - (46, 8, 56, &[1, 3, 7, 11, 1, 33, 89, 185]), - (47, 8, 67, &[1, 3, 3, 3, 15, 9, 79, 71]), - (48, 8, 70, &[1, 3, 7, 11, 15, 39, 119, 27]), - (49, 8, 84, &[1, 1, 3, 1, 11, 31, 97, 225]), - (50, 8, 97, &[1, 1, 1, 3, 23, 43, 57, 177]), - (51, 8, 103, &[1, 3, 7, 7, 17, 17, 37, 71]), - (52, 8, 115, &[1, 3, 1, 5, 27, 63, 123, 213]), - (53, 8, 122, &[1, 1, 3, 5, 11, 43, 53, 133]), - (54, 9, 8, &[1, 3, 5, 5, 29, 17, 47, 173, 479]), - (55, 9, 13, &[1, 3, 3, 11, 3, 1, 109, 9, 69]), - (56, 9, 16, &[1, 1, 1, 5, 17, 39, 23, 5, 343]), - (57, 9, 22, &[1, 3, 1, 5, 25, 15, 31, 103, 499]), - (58, 9, 25, &[1, 1, 1, 11, 11, 17, 63, 105, 183]), - (59, 9, 44, &[1, 1, 5, 11, 9, 29, 97, 231, 363]), - (60, 9, 47, &[1, 1, 5, 15, 19, 45, 41, 7, 383]), - (61, 9, 52, &[1, 3, 7, 7, 31, 19, 83, 137, 221]), - (62, 9, 55, &[1, 1, 1, 3, 23, 15, 111, 223, 83]), - (63, 9, 59, &[1, 1, 5, 13, 31, 15, 55, 25, 161]), - (64, 9, 62, &[1, 1, 3, 13, 25, 47, 39, 87, 257]), - (65, 9, 67, &[1, 1, 1, 11, 21, 53, 125, 249, 293]), - (66, 9, 74, &[1, 1, 7, 11, 11, 7, 57, 79, 323]), - (67, 9, 81, &[1, 1, 5, 5, 17, 13, 81, 3, 131]), - (68, 9, 82, &[1, 1, 7, 13, 23, 7, 65, 251, 475]), - (69, 9, 87, &[1, 3, 5, 1, 9, 43, 3, 149, 11]), - (70, 9, 91, &[1, 1, 3, 13, 31, 13, 13, 255, 487]), - (71, 9, 94, &[1, 3, 3, 1, 5, 63, 89, 91, 127]), - (72, 9, 103, &[1, 1, 3, 3, 1, 19, 123, 127, 237]), - (73, 9, 104, &[1, 1, 5, 7, 23, 31, 37, 243, 289]), - (74, 9, 109, &[1, 1, 5, 11, 17, 53, 117, 183, 491]), - (75, 9, 122, &[1, 1, 1, 5, 1, 13, 13, 209, 345]), - (76, 9, 124, &[1, 1, 3, 15, 1, 57, 115, 7, 33]), - (77, 9, 137, &[1, 3, 1, 11, 7, 43, 81, 207, 175]), - (78, 9, 138, &[1, 3, 1, 1, 15, 27, 63, 255, 49]), - (79, 9, 143, &[1, 3, 5, 3, 27, 61, 105, 171, 305]), - (80, 9, 145, &[1, 1, 5, 3, 1, 3, 57, 249, 149]), - (81, 9, 152, &[1, 1, 3, 5, 5, 57, 15, 13, 159]), - (82, 9, 157, &[1, 1, 1, 11, 7, 11, 105, 141, 225]), - (83, 9, 167, &[1, 3, 3, 5, 27, 59, 121, 101, 271]), - (84, 9, 173, &[1, 3, 5, 9, 11, 49, 51, 59, 115]), - (85, 9, 176, &[1, 1, 7, 1, 23, 45, 125, 71, 419]), - (86, 9, 181, &[1, 1, 3, 5, 23, 5, 105, 109, 75]), - (87, 9, 182, &[1, 1, 7, 15, 7, 11, 67, 121, 453]), - (88, 9, 185, &[1, 3, 7, 3, 9, 13, 31, 27, 449]), - (89, 9, 191, &[1, 3, 1, 15, 19, 39, 39, 89, 15]), - (90, 9, 194, &[1, 1, 1, 1, 1, 33, 73, 145, 379]), - (91, 9, 199, &[1, 3, 1, 15, 15, 43, 29, 13, 483]), - (92, 9, 218, &[1, 1, 7, 3, 19, 27, 85, 131, 431]), - (93, 9, 220, &[1, 3, 3, 3, 5, 35, 23, 195, 349]), - (94, 9, 227, &[1, 3, 3, 7, 9, 27, 39, 59, 297]), - (95, 9, 229, &[1, 1, 3, 9, 11, 17, 13, 241, 157]), - (96, 9, 230, &[1, 3, 7, 15, 25, 57, 33, 189, 213]), - (97, 9, 234, &[1, 1, 7, 1, 9, 55, 73, 83, 217]), - (98, 9, 236, &[1, 3, 3, 13, 19, 27, 23, 113, 249]), - (99, 9, 241, &[1, 3, 5, 3, 23, 43, 3, 253, 479]), - (100, 9, 244, &[1, 1, 5, 5, 11, 5, 45, 117, 217]), - (101, 9, 253, &[1, 3, 3, 7, 29, 37, 33, 123, 147]), - (102, 10, 4, &[1, 3, 1, 15, 5, 5, 37, 227, 223, 459]), - (103, 10, 13, &[1, 1, 7, 5, 5, 39, 63, 255, 135, 487]), - (104, 10, 19, &[1, 3, 1, 7, 9, 7, 87, 249, 217, 599]), - (105, 10, 22, &[1, 1, 3, 13, 9, 47, 7, 225, 363, 247]), - (106, 10, 50, &[1, 3, 7, 13, 19, 13, 9, 67, 9, 737]), - (107, 10, 55, &[1, 3, 5, 5, 19, 59, 7, 41, 319, 677]), - (108, 10, 64, &[1, 1, 5, 3, 31, 63, 15, 43, 207, 789]), - (109, 10, 69, &[1, 1, 7, 9, 13, 39, 3, 47, 497, 169]), - (110, 10, 98, &[1, 3, 1, 7, 21, 17, 97, 19, 415, 905]), - (111, 10, 107, &[1, 3, 7, 1, 3, 31, 71, 111, 165, 127]), - (112, 10, 115, &[1, 1, 5, 11, 1, 61, 83, 119, 203, 847]), - (113, 10, 121, &[1, 3, 3, 13, 9, 61, 19, 97, 47, 35]), - (114, 10, 127, &[1, 1, 7, 7, 15, 29, 63, 95, 417, 469]), - (115, 10, 134, &[1, 3, 1, 9, 25, 9, 71, 57, 213, 385]), - (116, 10, 140, &[1, 3, 5, 13, 31, 47, 101, 57, 39, 341]), - (117, 10, 145, &[1, 1, 3, 3, 31, 57, 125, 173, 365, 551]), - (118, 10, 152, &[1, 3, 7, 1, 13, 57, 67, 157, 451, 707]), - (119, 10, 158, &[1, 1, 1, 7, 21, 13, 105, 89, 429, 965]), - (120, 10, 161, &[1, 1, 5, 9, 17, 51, 45, 119, 157, 141]), - (121, 10, 171, &[1, 3, 7, 7, 13, 45, 91, 9, 129, 741]), - (122, 10, 181, &[1, 3, 7, 1, 23, 57, 67, 141, 151, 571]), - (123, 10, 194, &[1, 1, 3, 11, 17, 47, 93, 107, 375, 157]), - (124, 10, 199, &[1, 3, 3, 5, 11, 21, 43, 51, 169, 915]), - (125, 10, 203, &[1, 1, 5, 3, 15, 55, 101, 67, 455, 625]), - (126, 10, 208, &[1, 3, 5, 9, 1, 23, 29, 47, 345, 595]), - (127, 10, 227, &[1, 3, 7, 7, 5, 49, 29, 155, 323, 589]), - (128, 10, 242, &[1, 3, 3, 7, 5, 41, 127, 61, 261, 717]), - (129, 10, 251, &[1, 3, 7, 7, 17, 23, 117, 67, 129, 1009]), - (130, 10, 253, &[1, 1, 3, 13, 11, 39, 21, 207, 123, 305]), - (131, 10, 265, &[1, 1, 3, 9, 29, 3, 95, 47, 231, 73]), - (132, 10, 266, &[1, 3, 1, 9, 1, 29, 117, 21, 441, 259]), - (133, 10, 274, &[1, 3, 1, 13, 21, 39, 125, 211, 439, 723]), - (134, 10, 283, &[1, 1, 7, 3, 17, 63, 115, 89, 49, 773]), - (135, 10, 289, &[1, 3, 7, 13, 11, 33, 101, 107, 63, 73]), - (136, 10, 295, &[1, 1, 5, 5, 13, 57, 63, 135, 437, 177]), - (137, 10, 301, &[1, 1, 3, 7, 27, 63, 93, 47, 417, 483]), - (138, 10, 316, &[1, 1, 3, 1, 23, 29, 1, 191, 49, 23]), - (139, 10, 319, &[1, 1, 3, 15, 25, 55, 9, 101, 219, 607]), - (140, 10, 324, &[1, 3, 1, 7, 7, 19, 51, 251, 393, 307]), - (141, 10, 346, &[1, 3, 3, 3, 25, 55, 17, 75, 337, 3]), - (142, 10, 352, &[1, 1, 1, 13, 25, 17, 65, 45, 479, 413]), - (143, 10, 361, &[1, 1, 7, 7, 27, 49, 99, 161, 213, 727]), - (144, 10, 367, &[1, 3, 5, 1, 23, 5, 43, 41, 251, 857]), - (145, 10, 382, &[1, 3, 3, 7, 11, 61, 39, 87, 383, 835]), - (146, 10, 395, &[1, 1, 3, 15, 13, 7, 29, 7, 505, 923]), - (147, 10, 398, &[1, 3, 7, 1, 5, 31, 47, 157, 445, 501]), - (148, 10, 400, &[1, 1, 3, 7, 1, 43, 9, 147, 115, 605]), - (149, 10, 412, &[1, 3, 3, 13, 5, 1, 119, 211, 455, 1001]), - (150, 10, 419, &[1, 1, 3, 5, 13, 19, 3, 243, 75, 843]), - (151, 10, 422, &[1, 3, 7, 7, 1, 19, 91, 249, 357, 589]), - (152, 10, 426, &[1, 1, 1, 9, 1, 25, 109, 197, 279, 411]), - (153, 10, 428, &[1, 3, 1, 15, 23, 57, 59, 135, 191, 75]), - (154, 10, 433, &[1, 1, 5, 15, 29, 21, 39, 253, 383, 349]), - (155, 10, 446, &[1, 3, 3, 5, 19, 45, 61, 151, 199, 981]), - (156, 10, 454, &[1, 3, 5, 13, 9, 61, 107, 141, 141, 1]), - (157, 10, 457, &[1, 3, 1, 11, 27, 25, 85, 105, 309, 979]), - (158, 10, 472, &[1, 3, 3, 11, 19, 7, 115, 223, 349, 43]), - (159, 10, 493, &[1, 1, 7, 9, 21, 39, 123, 21, 275, 927]), - (160, 10, 505, &[1, 1, 7, 13, 15, 41, 47, 243, 303, 437]), - (161, 10, 508, &[1, 1, 1, 7, 7, 3, 15, 99, 409, 719]), - (162, 11, 2, &[1, 3, 3, 15, 27, 49, 113, 123, 113, 67, 469]), - (163, 11, 11, &[1, 3, 7, 11, 3, 23, 87, 169, 119, 483, 199]), - (164, 11, 21, &[1, 1, 5, 15, 7, 17, 109, 229, 179, 213, 741]), - (165, 11, 22, &[1, 1, 5, 13, 11, 17, 25, 135, 403, 557, 1433]), - (166, 11, 35, &[1, 3, 1, 1, 1, 61, 67, 215, 189, 945, 1243]), - (167, 11, 49, &[1, 1, 7, 13, 17, 33, 9, 221, 429, 217, 1679]), - (168, 11, 50, &[1, 1, 3, 11, 27, 3, 15, 93, 93, 865, 1049]), - (169, 11, 56, &[1, 3, 7, 7, 25, 41, 121, 35, 373, 379, 1547]), - (170, 11, 61, &[1, 3, 3, 9, 11, 35, 45, 205, 241, 9, 59]), - (171, 11, 70, &[1, 3, 1, 7, 3, 51, 7, 177, 53, 975, 89]), - (172, 11, 74, &[1, 1, 3, 5, 27, 1, 113, 231, 299, 759, 861]), - (173, 11, 79, &[1, 3, 3, 15, 25, 29, 5, 255, 139, 891, 2031]), - (174, 11, 84, &[1, 3, 1, 1, 13, 9, 109, 193, 419, 95, 17]), - (175, 11, 88, &[1, 1, 7, 9, 3, 7, 29, 41, 135, 839, 867]), - (176, 11, 103, &[1, 1, 7, 9, 25, 49, 123, 217, 113, 909, 215]), - (177, 11, 104, &[1, 1, 7, 3, 23, 15, 43, 133, 217, 327, 901]), - (178, 11, 112, &[1, 1, 3, 3, 13, 53, 63, 123, 477, 711, 1387]), - (179, 11, 115, &[1, 1, 3, 15, 7, 29, 75, 119, 181, 957, 247]), - (180, 11, 117, &[1, 1, 1, 11, 27, 25, 109, 151, 267, 99, 1461]), - (181, 11, 122, &[1, 3, 7, 15, 5, 5, 53, 145, 11, 725, 1501]), - (182, 11, 134, &[1, 3, 7, 1, 9, 43, 71, 229, 157, 607, 1835]), - (183, 11, 137, &[1, 3, 3, 13, 25, 1, 5, 27, 471, 349, 127]), - (184, 11, 146, &[1, 1, 1, 1, 23, 37, 9, 221, 269, 897, 1685]), - (185, 11, 148, &[1, 1, 3, 3, 31, 29, 51, 19, 311, 553, 1969]), - (186, 11, 157, &[1, 3, 7, 5, 5, 55, 17, 39, 475, 671, 1529]), - (187, 11, 158, &[1, 1, 7, 1, 1, 35, 47, 27, 437, 395, 1635]), - (188, 11, 162, &[1, 1, 7, 3, 13, 23, 43, 135, 327, 139, 389]), - (189, 11, 164, &[1, 3, 7, 3, 9, 25, 91, 25, 429, 219, 513]), - (190, 11, 168, &[1, 1, 3, 5, 13, 29, 119, 201, 277, 157, 2043]), - (191, 11, 173, &[1, 3, 5, 3, 29, 57, 13, 17, 167, 739, 1031]), - (192, 11, 185, &[1, 3, 3, 5, 29, 21, 95, 27, 255, 679, 1531]), - (193, 11, 186, &[1, 3, 7, 15, 9, 5, 21, 71, 61, 961, 1201]), - (194, 11, 191, &[1, 3, 5, 13, 15, 57, 33, 93, 459, 867, 223]), - (195, 11, 193, &[1, 1, 1, 15, 17, 43, 127, 191, 67, 177, 1073]), - (196, 11, 199, &[1, 1, 1, 15, 23, 7, 21, 199, 75, 293, 1611]), - (197, 11, 213, &[1, 3, 7, 13, 15, 39, 21, 149, 65, 741, 319]), - (198, 11, 214, &[1, 3, 7, 11, 23, 13, 101, 89, 277, 519, 711]), - (199, 11, 220, &[1, 3, 7, 15, 19, 27, 85, 203, 441, 97, 1895]), - (200, 11, 227, &[1, 3, 1, 3, 29, 25, 21, 155, 11, 191, 197]), - (201, 11, 236, &[1, 1, 7, 5, 27, 11, 81, 101, 457, 675, 1687]), - (202, 11, 242, &[1, 3, 1, 5, 25, 5, 65, 193, 41, 567, 781]), - (203, 11, 251, &[1, 3, 1, 5, 11, 15, 113, 77, 411, 695, 1111]), - (204, 11, 256, &[1, 1, 3, 9, 11, 53, 119, 171, 55, 297, 509]), - (205, 11, 259, &[1, 1, 1, 1, 11, 39, 113, 139, 165, 347, 595]), - (206, 11, 265, &[1, 3, 7, 11, 9, 17, 101, 13, 81, 325, 1733]), - (207, 11, 266, &[1, 3, 1, 1, 21, 43, 115, 9, 113, 907, 645]), - (208, 11, 276, &[1, 1, 7, 3, 9, 25, 117, 197, 159, 471, 475]), - (209, 11, 292, &[1, 3, 1, 9, 11, 21, 57, 207, 485, 613, 1661]), - (210, 11, 304, &[1, 1, 7, 7, 27, 55, 49, 223, 89, 85, 1523]), - (211, 11, 310, &[1, 1, 5, 3, 19, 41, 45, 51, 447, 299, 1355]), - (212, 11, 316, &[1, 3, 1, 13, 1, 33, 117, 143, 313, 187, 1073]), - (213, 11, 319, &[1, 1, 7, 7, 5, 11, 65, 97, 377, 377, 1501]), - (214, 11, 322, &[1, 3, 1, 1, 21, 35, 95, 65, 99, 23, 1239]), - (215, 11, 328, &[1, 1, 5, 9, 3, 37, 95, 167, 115, 425, 867]), - (216, 11, 334, &[1, 3, 3, 13, 1, 37, 27, 189, 81, 679, 773]), - (217, 11, 339, &[1, 1, 3, 11, 1, 61, 99, 233, 429, 969, 49]), - (218, 11, 341, &[1, 1, 1, 7, 25, 63, 99, 165, 245, 793, 1143]), - (219, 11, 345, &[1, 1, 5, 11, 11, 43, 55, 65, 71, 283, 273]), - (220, 11, 346, &[1, 1, 5, 5, 9, 3, 101, 251, 355, 379, 1611]), - (221, 11, 362, &[1, 1, 1, 15, 21, 63, 85, 99, 49, 749, 1335]), - (222, 11, 367, &[1, 1, 5, 13, 27, 9, 121, 43, 255, 715, 289]), - (223, 11, 372, &[1, 3, 1, 5, 27, 19, 17, 223, 77, 571, 1415]), - (224, 11, 375, &[1, 1, 5, 3, 13, 59, 125, 251, 195, 551, 1737]), - (225, 11, 376, &[1, 3, 3, 15, 13, 27, 49, 105, 389, 971, 755]), - (226, 11, 381, &[1, 3, 5, 15, 23, 43, 35, 107, 447, 763, 253]), - (227, 11, 385, &[1, 3, 5, 11, 21, 3, 17, 39, 497, 407, 611]), - (228, 11, 388, &[1, 1, 7, 13, 15, 31, 113, 17, 23, 507, 1995]), - (229, 11, 392, &[1, 1, 7, 15, 3, 15, 31, 153, 423, 79, 503]), - (230, 11, 409, &[1, 1, 7, 9, 19, 25, 23, 171, 505, 923, 1989]), - (231, 11, 415, &[1, 1, 5, 9, 21, 27, 121, 223, 133, 87, 697]), - (232, 11, 416, &[1, 1, 5, 5, 9, 19, 107, 99, 319, 765, 1461]), - (233, 11, 421, &[1, 1, 3, 3, 19, 25, 3, 101, 171, 729, 187]), - (234, 11, 428, &[1, 1, 3, 1, 13, 23, 85, 93, 291, 209, 37]), - (235, 11, 431, &[1, 1, 1, 15, 25, 25, 77, 253, 333, 947, 1073]), - (236, 11, 434, &[1, 1, 3, 9, 17, 29, 55, 47, 255, 305, 2037]), - (237, 11, 439, &[1, 3, 3, 9, 29, 63, 9, 103, 489, 939, 1523]), - (238, 11, 446, &[1, 3, 7, 15, 7, 31, 89, 175, 369, 339, 595]), - (239, 11, 451, &[1, 3, 7, 13, 25, 5, 71, 207, 251, 367, 665]), - (240, 11, 453, &[1, 3, 3, 3, 21, 25, 75, 35, 31, 321, 1603]), - (241, 11, 457, &[1, 1, 1, 9, 11, 1, 65, 5, 11, 329, 535]), - (242, 11, 458, &[1, 1, 5, 3, 19, 13, 17, 43, 379, 485, 383]), - (243, 11, 471, &[1, 3, 5, 13, 13, 9, 85, 147, 489, 787, 1133]), - (244, 11, 475, &[1, 3, 1, 1, 5, 51, 37, 129, 195, 297, 1783]), - (245, 11, 478, &[1, 1, 3, 15, 19, 57, 59, 181, 455, 697, 2033]), - (246, 11, 484, &[1, 3, 7, 1, 27, 9, 65, 145, 325, 189, 201]), - (247, 11, 493, &[1, 3, 1, 15, 31, 23, 19, 5, 485, 581, 539]), - (248, 11, 494, &[1, 1, 7, 13, 11, 15, 65, 83, 185, 847, 831]), - (249, 11, 499, &[1, 3, 5, 7, 7, 55, 73, 15, 303, 511, 1905]), - (250, 11, 502, &[1, 3, 5, 9, 7, 21, 45, 15, 397, 385, 597]), - (251, 11, 517, &[1, 3, 7, 3, 23, 13, 73, 221, 511, 883, 1265]), - (252, 11, 518, &[1, 1, 3, 11, 1, 51, 73, 185, 33, 975, 1441]), - (253, 11, 524, &[1, 3, 3, 9, 19, 59, 21, 39, 339, 37, 143]), - (254, 11, 527, &[1, 1, 7, 1, 31, 33, 19, 167, 117, 635, 639]), - (255, 11, 555, &[1, 1, 1, 3, 5, 13, 59, 83, 355, 349, 1967]), - (256, 11, 560, &[1, 1, 1, 5, 19, 3, 53, 133, 97, 863, 983]), - (257, 11, 565, &[1, 3, 1, 13, 9, 41, 91, 105, 173, 97, 625]), - (258, 11, 569, &[1, 1, 5, 3, 7, 49, 115, 133, 71, 231, 1063]), - (259, 11, 578, &[1, 1, 7, 5, 17, 43, 47, 45, 497, 547, 757]), - (260, 11, 580, &[1, 3, 5, 15, 21, 61, 123, 191, 249, 31, 631]), - (261, 11, 587, &[1, 3, 7, 9, 17, 7, 11, 185, 127, 169, 1951]), - (262, 11, 589, &[1, 1, 5, 13, 11, 11, 9, 49, 29, 125, 791]), - (263, 11, 590, &[1, 1, 1, 15, 31, 41, 13, 167, 273, 429, 57]), - (264, 11, 601, &[1, 3, 5, 3, 27, 7, 35, 209, 65, 265, 1393]), - (265, 11, 607, &[1, 3, 1, 13, 31, 19, 53, 143, 135, 9, 1021]), - (266, 11, 611, &[1, 1, 7, 13, 31, 5, 115, 153, 143, 957, 623]), - (267, 11, 614, &[1, 1, 5, 11, 25, 19, 29, 31, 297, 943, 443]), - (268, 11, 617, &[1, 3, 3, 5, 21, 11, 127, 81, 479, 25, 699]), - (269, 11, 618, &[1, 1, 3, 11, 25, 31, 97, 19, 195, 781, 705]), - (270, 11, 625, &[1, 1, 5, 5, 31, 11, 75, 207, 197, 885, 2037]), - (271, 11, 628, &[1, 1, 1, 11, 9, 23, 29, 231, 307, 17, 1497]), - (272, 11, 635, &[1, 1, 5, 11, 11, 43, 111, 233, 307, 523, 1259]), - (273, 11, 641, &[1, 1, 7, 5, 1, 21, 107, 229, 343, 933, 217]), - (274, 11, 647, &[1, 1, 1, 11, 3, 21, 125, 131, 405, 599, 1469]), - (275, 11, 654, &[1, 3, 5, 5, 9, 39, 33, 81, 389, 151, 811]), - (276, 11, 659, &[1, 1, 7, 7, 7, 1, 59, 223, 265, 529, 2021]), - (277, 11, 662, &[1, 3, 1, 3, 9, 23, 85, 181, 47, 265, 49]), - (278, 11, 672, &[1, 3, 5, 11, 19, 23, 9, 7, 157, 299, 1983]), - (279, 11, 675, &[1, 3, 1, 5, 15, 5, 21, 105, 29, 339, 1041]), - (280, 11, 682, &[1, 1, 1, 1, 5, 33, 65, 85, 111, 705, 479]), - (281, 11, 684, &[1, 1, 1, 7, 9, 35, 77, 87, 151, 321, 101]), - (282, 11, 689, &[1, 1, 5, 7, 17, 1, 51, 197, 175, 811, 1229]), - (283, 11, 695, &[1, 3, 3, 15, 23, 37, 85, 185, 239, 543, 731]), - (284, 11, 696, &[1, 3, 1, 7, 7, 55, 111, 109, 289, 439, 243]), - (285, 11, 713, &[1, 1, 7, 11, 17, 53, 35, 217, 259, 853, 1667]), - (286, 11, 719, &[1, 3, 1, 9, 1, 63, 87, 17, 73, 565, 1091]), - (287, 11, 724, &[1, 1, 3, 3, 11, 41, 1, 57, 295, 263, 1029]), - (288, 11, 733, &[1, 1, 5, 1, 27, 45, 109, 161, 411, 421, 1395]), - (289, 11, 734, &[1, 3, 5, 11, 25, 35, 47, 191, 339, 417, 1727]), - (290, 11, 740, &[1, 1, 5, 15, 21, 1, 93, 251, 351, 217, 1767]), - (291, 11, 747, &[1, 3, 3, 11, 3, 7, 75, 155, 313, 211, 491]), - (292, 11, 749, &[1, 3, 3, 5, 11, 9, 101, 161, 453, 913, 1067]), - (293, 11, 752, &[1, 1, 3, 1, 15, 45, 127, 141, 163, 727, 1597]), - (294, 11, 755, &[1, 3, 3, 7, 1, 33, 63, 73, 73, 341, 1691]), - (295, 11, 762, &[1, 3, 5, 13, 15, 39, 53, 235, 77, 99, 949]), - (296, 11, 770, &[1, 1, 5, 13, 31, 17, 97, 13, 215, 301, 1927]), - (297, 11, 782, &[1, 1, 7, 1, 1, 37, 91, 93, 441, 251, 1131]), - (298, 11, 784, &[1, 3, 7, 9, 25, 5, 105, 69, 81, 943, 1459]), - (299, 11, 787, &[1, 3, 7, 11, 31, 43, 13, 209, 27, 1017, 501]), - (300, 11, 789, &[1, 1, 7, 15, 1, 33, 31, 233, 161, 507, 387]), - (301, 11, 793, &[1, 3, 3, 5, 5, 53, 33, 177, 503, 627, 1927]), - (302, 11, 796, &[1, 1, 7, 11, 7, 61, 119, 31, 457, 229, 1875]), - 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(319, 11, 901, &[1, 1, 5, 3, 25, 51, 107, 63, 403, 917, 815]), - (320, 11, 908, &[1, 1, 7, 3, 7, 61, 19, 51, 457, 599, 535]), - (321, 11, 920, &[1, 3, 7, 1, 23, 51, 105, 153, 239, 215, 1847]), - (322, 11, 923, &[1, 1, 3, 5, 27, 23, 79, 49, 495, 45, 1935]), - (323, 11, 942, &[1, 1, 1, 11, 11, 47, 55, 133, 495, 999, 1461]), - (324, 11, 949, &[1, 1, 3, 15, 27, 51, 93, 17, 355, 763, 1675]), - (325, 11, 950, &[1, 3, 1, 3, 1, 3, 79, 119, 499, 17, 995]), - (326, 11, 954, &[1, 1, 1, 1, 15, 43, 45, 17, 167, 973, 799]), - (327, 11, 961, &[1, 1, 1, 3, 27, 49, 89, 29, 483, 913, 2023]), - (328, 11, 968, &[1, 1, 3, 3, 5, 11, 75, 7, 41, 851, 611]), - (329, 11, 971, &[1, 3, 1, 3, 7, 57, 39, 123, 257, 283, 507]), - (330, 11, 973, &[1, 3, 3, 11, 27, 23, 113, 229, 187, 299, 133]), - (331, 11, 979, &[1, 1, 3, 13, 9, 63, 101, 77, 451, 169, 337]), - (332, 11, 982, &[1, 3, 7, 3, 3, 59, 45, 195, 229, 415, 409]), - (333, 11, 986, &[1, 3, 5, 3, 11, 19, 71, 93, 43, 857, 369]), - (334, 11, 998, &[1, 3, 7, 9, 19, 33, 115, 19, 241, 703, 247]), - 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(350, 12, 171, &[1, 3, 5, 13, 21, 57, 51, 17, 511, 195, 1157, 1831]), - (351, 12, 176, &[1, 1, 1, 15, 29, 19, 7, 73, 295, 519, 587, 3523]), - (352, 12, 181, &[1, 1, 5, 13, 13, 35, 115, 191, 123, 535, 717, 1661]), - (353, 12, 194, &[1, 3, 3, 5, 23, 21, 47, 251, 379, 921, 1119, 297]), - (354, 12, 217, &[1, 3, 3, 9, 29, 53, 121, 201, 135, 193, 523, 2943]), - (355, 12, 236, &[1, 1, 1, 7, 29, 45, 125, 9, 99, 867, 425, 601]), - (356, 12, 239, &[1, 3, 1, 9, 13, 15, 67, 181, 109, 293, 1305, 3079]), - (357, 12, 262, &[1, 3, 3, 9, 5, 35, 15, 209, 305, 87, 767, 2795]), - (358, 12, 283, &[1, 3, 3, 11, 27, 57, 113, 123, 179, 643, 149, 523]), - (359, 12, 286, &[1, 1, 3, 15, 11, 17, 67, 223, 63, 657, 335, 3309]), - (360, 12, 307, &[1, 1, 1, 9, 25, 29, 109, 159, 39, 513, 571, 1761]), - (361, 12, 313, &[1, 1, 3, 1, 5, 63, 75, 19, 455, 601, 123, 691]), - (362, 12, 319, &[1, 1, 1, 3, 21, 5, 45, 169, 377, 513, 1951, 2565]), - (363, 12, 348, &[1, 1, 3, 11, 3, 33, 119, 69, 253, 907, 805, 1449]), - (364, 12, 352, &[1, 1, 5, 13, 31, 15, 17, 7, 499, 61, 687, 1867]), - 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(380, 12, 558, &[1, 3, 5, 3, 19, 13, 41, 69, 199, 143, 1761, 3215]), - (381, 12, 563, &[1, 3, 5, 7, 19, 43, 25, 41, 41, 11, 1647, 2783]), - (382, 12, 570, &[1, 3, 1, 9, 19, 45, 111, 97, 405, 399, 457, 3219]), - (383, 12, 595, &[1, 1, 3, 1, 23, 15, 65, 121, 59, 985, 829, 2259]), - (384, 12, 598, &[1, 1, 3, 7, 17, 13, 107, 229, 75, 551, 1299, 2363]), - (385, 12, 617, &[1, 1, 5, 5, 21, 57, 23, 199, 509, 139, 2007, 3875]), - (386, 12, 647, &[1, 3, 1, 11, 19, 53, 15, 229, 215, 741, 695, 823]), - (387, 12, 654, &[1, 3, 7, 1, 29, 3, 17, 163, 417, 559, 549, 319]), - (388, 12, 678, &[1, 3, 1, 13, 17, 9, 47, 133, 365, 7, 1937, 1071]), - (389, 12, 713, &[1, 3, 5, 7, 19, 37, 55, 163, 301, 249, 689, 2327]), - (390, 12, 738, &[1, 3, 5, 13, 11, 23, 61, 205, 257, 377, 615, 1457]), - (391, 12, 747, &[1, 3, 5, 1, 23, 37, 13, 75, 331, 495, 579, 3367]), - (392, 12, 750, &[1, 1, 1, 9, 1, 23, 49, 129, 475, 543, 883, 2531]), - (393, 12, 757, &[1, 3, 1, 5, 23, 59, 51, 35, 343, 695, 219, 369]), - (394, 12, 772, &[1, 3, 3, 1, 27, 17, 63, 97, 71, 507, 1929, 613]), - (395, 12, 803, &[1, 1, 5, 1, 21, 31, 11, 109, 247, 409, 1817, 2173]), - (396, 12, 810, &[1, 1, 3, 15, 23, 9, 7, 209, 301, 23, 147, 1691]), - (397, 12, 812, &[1, 1, 7, 5, 5, 19, 37, 229, 249, 277, 1115, 2309]), - (398, 12, 850, &[1, 1, 1, 5, 5, 63, 5, 249, 285, 431, 343, 2467]), - (399, 12, 862, &[1, 1, 1, 11, 7, 45, 35, 75, 505, 537, 29, 2919]), - (400, 12, 906, &[1, 3, 5, 15, 11, 39, 15, 63, 263, 9, 199, 445]), - (401, 12, 908, &[1, 3, 3, 3, 27, 63, 53, 171, 227, 63, 1049, 827]), - (402, 12, 929, &[1, 1, 3, 13, 7, 11, 115, 183, 179, 937, 1785, 381]), - (403, 12, 930, &[1, 3, 1, 11, 13, 15, 107, 81, 53, 295, 1785, 3757]), - (404, 12, 954, &[1, 3, 3, 13, 11, 5, 109, 243, 3, 505, 323, 1373]), - (405, 12, 964, &[1, 3, 3, 11, 21, 51, 17, 177, 381, 937, 1263, 3889]), - (406, 12, 982, &[1, 3, 5, 9, 27, 25, 85, 193, 143, 573, 1189, 2995]), - (407, 12, 985, &[1, 3, 5, 11, 13, 9, 81, 21, 159, 953, 91, 1751]), - (408, 12, 991, &[1, 1, 3, 3, 27, 61, 11, 253, 391, 333, 1105, 635]), - (409, 12, 992, &[1, 3, 3, 15, 9, 57, 95, 81, 419, 735, 251, 1141]), - (410, 12, 1067, &[1, 1, 5, 9, 31, 39, 59, 13, 319, 807, 1241, 2433]), - (411, 12, 1070, &[1, 3, 3, 5, 27, 13, 107, 141, 423, 937, 2027, 3233]), - (412, 12, 1096, &[1, 3, 3, 9, 9, 25, 125, 23, 443, 835, 1245, 847]), - (413, 12, 1099, &[1, 1, 7, 15, 17, 17, 83, 107, 411, 285, 847, 1571]), - (414, 12, 1116, &[1, 1, 3, 13, 29, 61, 37, 81, 349, 727, 1453, 1957]), - (415, 12, 1143, &[1, 3, 7, 11, 31, 13, 59, 77, 273, 591, 1265, 1533]), - (416, 12, 1165, &[1, 1, 7, 7, 13, 17, 25, 25, 187, 329, 347, 1473]), - (417, 12, 1178, &[1, 3, 7, 7, 5, 51, 37, 99, 221, 153, 503, 2583]), - (418, 12, 1184, &[1, 3, 1, 13, 19, 27, 11, 69, 181, 479, 1183, 3229]), - (419, 12, 1202, &[1, 3, 3, 13, 23, 21, 103, 147, 323, 909, 947, 315]), - (420, 12, 1213, &[1, 3, 1, 3, 23, 1, 31, 59, 93, 513, 45, 2271]), - (421, 12, 1221, &[1, 3, 5, 1, 7, 43, 109, 59, 231, 41, 1515, 2385]), - (422, 12, 1240, &[1, 3, 1, 5, 31, 57, 49, 223, 283, 1013, 11, 701]), - (423, 12, 1246, &[1, 1, 5, 1, 19, 53, 55, 31, 31, 299, 495, 693]), - (424, 12, 1252, &[1, 3, 3, 9, 5, 33, 77, 253, 427, 791, 731, 1019]), - (425, 12, 1255, &[1, 3, 7, 11, 1, 9, 119, 203, 53, 877, 1707, 3499]), - (426, 12, 1267, &[1, 1, 3, 7, 13, 39, 55, 159, 423, 113, 1653, 3455]), - (427, 12, 1293, &[1, 1, 3, 5, 21, 47, 51, 59, 55, 411, 931, 251]), - (428, 12, 1301, &[1, 3, 7, 3, 31, 25, 81, 115, 405, 239, 741, 455]), - (429, 12, 1305, &[1, 1, 5, 1, 31, 3, 101, 83, 479, 491, 1779, 2225]), - (430, 12, 1332, &[1, 3, 3, 3, 9, 37, 107, 161, 203, 503, 767, 3435]), - (431, 12, 1349, &[1, 3, 7, 9, 1, 27, 61, 119, 233, 39, 1375, 4089]), - (432, 12, 1384, &[1, 1, 5, 9, 1, 31, 45, 51, 369, 587, 383, 2813]), - (433, 12, 1392, &[1, 3, 7, 5, 31, 7, 49, 119, 487, 591, 1627, 53]), - (434, 12, 1402, &[1, 1, 7, 1, 9, 47, 1, 223, 369, 711, 1603, 1917]), - (435, 12, 1413, &[1, 3, 5, 3, 21, 37, 111, 17, 483, 739, 1193, 2775]), - (436, 12, 1417, &[1, 3, 3, 7, 17, 11, 51, 117, 455, 191, 1493, 3821]), - (437, 12, 1423, &[1, 1, 5, 9, 23, 39, 99, 181, 343, 485, 99, 1931]), - (438, 12, 1451, &[1, 3, 1, 7, 29, 49, 31, 71, 489, 527, 1763, 2909]), - (439, 12, 1480, &[1, 1, 5, 11, 5, 5, 73, 189, 321, 57, 1191, 3685]), - (440, 12, 1491, &[1, 1, 5, 15, 13, 45, 125, 207, 371, 415, 315, 983]), - (441, 12, 1503, &[1, 3, 3, 5, 25, 59, 33, 31, 239, 919, 1859, 2709]), - (442, 12, 1504, &[1, 3, 5, 13, 27, 61, 23, 115, 61, 413, 1275, 3559]), - (443, 12, 1513, &[1, 3, 7, 15, 5, 59, 101, 81, 47, 967, 809, 3189]), - (444, 12, 1538, &[1, 1, 5, 11, 31, 15, 39, 25, 173, 505, 809, 2677]), - (445, 12, 1544, &[1, 1, 5, 9, 19, 13, 95, 89, 511, 127, 1395, 2935]), - (446, 12, 1547, &[1, 1, 5, 5, 31, 45, 9, 57, 91, 303, 1295, 3215]), - (447, 12, 1555, &[1, 3, 3, 3, 19, 15, 113, 187, 217, 489, 1285, 1803]), - (448, 12, 1574, &[1, 1, 3, 1, 13, 29, 57, 139, 255, 197, 537, 2183]), - (449, 12, 1603, &[1, 3, 1, 15, 11, 7, 53, 255, 467, 9, 757, 3167]), - (450, 12, 1615, &[1, 3, 3, 15, 21, 13, 9, 189, 359, 323, 49, 333]), - (451, 12, 1618, &[1, 3, 7, 11, 7, 37, 21, 119, 401, 157, 1659, 1069]), - (452, 12, 1629, &[1, 1, 5, 7, 17, 33, 115, 229, 149, 151, 2027, 279]), - (453, 12, 1634, &[1, 1, 5, 15, 5, 49, 77, 155, 383, 385, 1985, 945]), - (454, 12, 1636, &[1, 3, 7, 3, 7, 55, 85, 41, 357, 527, 1715, 1619]), - (455, 12, 1639, &[1, 1, 3, 1, 21, 45, 115, 21, 199, 967, 1581, 3807]), - (456, 12, 1657, &[1, 1, 3, 7, 21, 39, 117, 191, 169, 73, 413, 3417]), - (457, 12, 1667, &[1, 1, 1, 13, 1, 31, 57, 195, 231, 321, 367, 1027]), - (458, 12, 1681, &[1, 3, 7, 3, 11, 29, 47, 161, 71, 419, 1721, 437]), - (459, 12, 1697, &[1, 1, 7, 3, 11, 9, 43, 65, 157, 1, 1851, 823]), - (460, 12, 1704, &[1, 1, 1, 5, 21, 15, 31, 101, 293, 299, 127, 1321]), - (461, 12, 1709, &[1, 1, 7, 1, 27, 1, 11, 229, 241, 705, 43, 1475]), - (462, 12, 1722, &[1, 3, 7, 1, 5, 15, 73, 183, 193, 55, 1345, 49]), - (463, 12, 1730, &[1, 3, 3, 3, 19, 3, 55, 21, 169, 663, 1675, 137]), - (464, 12, 1732, &[1, 1, 1, 13, 7, 21, 69, 67, 373, 965, 1273, 2279]), - (465, 12, 1802, &[1, 1, 7, 7, 21, 23, 17, 43, 341, 845, 465, 3355]), - (466, 12, 1804, &[1, 3, 5, 5, 25, 5, 81, 101, 233, 139, 359, 2057]), - (467, 12, 1815, &[1, 1, 3, 11, 15, 39, 55, 3, 471, 765, 1143, 3941]), - (468, 12, 1826, &[1, 1, 7, 15, 9, 57, 81, 79, 215, 433, 333, 3855]), - (469, 12, 1832, &[1, 1, 5, 5, 19, 45, 83, 31, 209, 363, 701, 1303]), - (470, 12, 1843, &[1, 3, 7, 5, 1, 13, 55, 163, 435, 807, 287, 2031]), - (471, 12, 1849, &[1, 3, 3, 7, 3, 3, 17, 197, 39, 169, 489, 1769]), - (472, 12, 1863, &[1, 1, 3, 5, 29, 43, 87, 161, 289, 339, 1233, 2353]), - (473, 12, 1905, &[1, 3, 3, 9, 21, 9, 77, 1, 453, 167, 1643, 2227]), - (474, 12, 1928, &[1, 1, 7, 1, 15, 7, 67, 33, 193, 241, 1031, 2339]), - (475, 12, 1933, &[1, 3, 1, 11, 1, 63, 45, 65, 265, 661, 849, 1979]), - (476, 12, 1939, &[1, 3, 1, 13, 19, 49, 3, 11, 159, 213, 659, 2839]), - (477, 12, 1976, &[1, 3, 5, 11, 9, 29, 27, 227, 253, 449, 1403, 3427]), - (478, 12, 1996, &[1, 1, 3, 1, 7, 3, 77, 143, 277, 779, 1499, 475]), - (479, 12, 2013, &[1, 1, 1, 5, 11, 23, 87, 131, 393, 849, 193, 3189]), - (480, 12, 2014, &[1, 3, 5, 11, 3, 3, 89, 9, 449, 243, 1501, 1739]), - (481, 12, 2020, &[1, 3, 1, 9, 29, 29, 113, 15, 65, 611, 135, 3687]), - (482, 13, 13, &[1, 1, 1, 9, 21, 19, 39, 151, 395, 501, 1339, 959, 2725]), - (483, 13, 19, &[1, 3, 7, 1, 7, 35, 45, 33, 119, 225, 1631, 1695, 1459]), - (484, 13, 26, &[1, 1, 1, 3, 25, 55, 37, 79, 167, 907, 1075, 271, 4059]), - (485, 13, 41, &[1, 3, 5, 13, 5, 13, 53, 165, 437, 67, 1705, 3177, 8095]), - (486, 13, 50, &[1, 3, 3, 13, 27, 57, 95, 55, 443, 245, 1945, 1725, 1929]), - (487, 13, 55, &[1, 3, 1, 9, 5, 33, 109, 35, 99, 827, 341, 2401, 2411]), - (488, 13, 69, &[1, 1, 5, 9, 7, 33, 43, 39, 87, 799, 635, 3481, 7159]), - (489, 13, 70, &[1, 3, 1, 1, 31, 15, 45, 27, 337, 113, 987, 2065, 2529]), - (490, 13, 79, &[1, 1, 5, 9, 5, 15, 105, 123, 479, 289, 1609, 2177, 4629]), - (491, 13, 82, &[1, 3, 5, 11, 31, 47, 97, 87, 385, 195, 1041, 651, 3271]), - (492, 13, 87, &[1, 1, 3, 7, 17, 3, 101, 55, 87, 629, 1687, 1387, 2745]), - (493, 13, 93, &[1, 3, 5, 5, 7, 21, 9, 237, 313, 549, 1107, 117, 6183]), - (494, 13, 94, &[1, 1, 3, 9, 9, 5, 55, 201, 487, 851, 1103, 2993, 4055]), - (495, 13, 97, &[1, 1, 5, 9, 31, 19, 59, 7, 363, 381, 1167, 2057, 5715]), - (496, 13, 100, &[1, 3, 3, 15, 23, 63, 19, 227, 387, 827, 487, 1049, 7471]), - (497, 13, 112, &[1, 3, 1, 5, 23, 25, 61, 245, 363, 863, 963, 3583, 6475]), - (498, 13, 121, &[1, 1, 5, 1, 5, 27, 81, 85, 275, 49, 235, 3291, 1195]), - (499, 13, 134, &[1, 1, 5, 7, 23, 53, 85, 107, 511, 779, 1265, 1093, 7859]), - (500, 13, 138, &[1, 3, 3, 1, 9, 21, 75, 219, 59, 485, 1739, 3845, 1109]), - (501, 13, 148, &[1, 3, 5, 1, 13, 41, 19, 143, 293, 391, 2023, 1791, 4399]), - (502, 13, 151, &[1, 3, 7, 15, 21, 13, 21, 195, 215, 413, 523, 2099, 2341]), - (503, 13, 157, &[1, 1, 1, 3, 29, 51, 47, 57, 135, 575, 943, 1673, 541]), - (504, 13, 161, &[1, 3, 5, 1, 9, 13, 113, 175, 447, 115, 657, 4077, 5973]), - (505, 13, 179, &[1, 1, 1, 11, 17, 41, 37, 95, 297, 579, 911, 2207, 2387]), - (506, 13, 181, &[1, 3, 5, 3, 23, 11, 23, 231, 93, 667, 711, 1563, 7961]), - (507, 13, 188, &[1, 1, 7, 3, 17, 59, 13, 181, 141, 991, 1817, 457, 1711]), - (508, 13, 196, &[1, 3, 3, 5, 31, 59, 81, 205, 245, 537, 1049, 997, 1815]), - (509, 13, 203, &[1, 3, 7, 5, 17, 13, 9, 79, 17, 185, 5, 2211, 6263]), - (510, 13, 206, &[1, 3, 7, 13, 7, 53, 61, 145, 13, 285, 1203, 947, 2933]), - (511, 13, 223, &[1, 1, 7, 3, 31, 19, 69, 217, 47, 441, 1893, 673, 4451]), - (512, 13, 224, &[1, 1, 1, 1, 25, 9, 23, 225, 385, 629, 603, 3747, 4241]), - (513, 13, 227, &[1, 3, 1, 9, 5, 37, 31, 237, 431, 79, 1521, 459, 2523]), - (514, 13, 230, &[1, 3, 7, 3, 9, 43, 105, 179, 5, 225, 799, 1777, 4893]), - (515, 13, 239, &[1, 1, 3, 1, 29, 45, 29, 159, 267, 247, 455, 847, 3909]), - (516, 13, 241, &[1, 1, 3, 7, 25, 21, 121, 57, 467, 275, 719, 1521, 7319]), - (517, 13, 248, &[1, 3, 1, 3, 11, 35, 119, 123, 81, 979, 1187, 3623, 4293]), - (518, 13, 253, &[1, 1, 1, 7, 15, 25, 121, 235, 25, 487, 873, 1787, 1977]), - (519, 13, 268, &[1, 1, 1, 11, 3, 7, 17, 135, 345, 353, 383, 4011, 2573]), - (520, 13, 274, &[1, 3, 7, 15, 27, 13, 97, 123, 65, 675, 951, 1285, 6559]), - (521, 13, 283, &[1, 3, 7, 3, 7, 1, 71, 19, 325, 765, 337, 1197, 2697]), - (522, 13, 286, &[1, 3, 5, 1, 31, 37, 11, 71, 169, 283, 83, 3801, 7083]), - (523, 13, 289, &[1, 1, 3, 15, 17, 29, 83, 65, 275, 679, 1749, 4007, 7749]), - (524, 13, 301, &[1, 1, 3, 1, 21, 11, 41, 95, 237, 361, 1819, 2783, 2383]), - (525, 13, 302, &[1, 3, 7, 11, 29, 57, 111, 187, 465, 145, 605, 1987, 8109]), - (526, 13, 316, &[1, 1, 3, 3, 19, 15, 55, 83, 357, 1001, 643, 1517, 6529]), - (527, 13, 319, &[1, 3, 1, 5, 29, 35, 73, 23, 77, 619, 1523, 1725, 8145]), - (528, 13, 324, &[1, 1, 5, 5, 19, 23, 7, 197, 449, 337, 717, 2921, 315]), - (529, 13, 331, &[1, 3, 5, 9, 7, 63, 117, 97, 97, 813, 1925, 2817, 1579]), - (530, 13, 333, &[1, 1, 1, 11, 31, 7, 25, 235, 231, 133, 1007, 1371, 1553]), - (531, 13, 345, &[1, 1, 7, 5, 19, 7, 47, 171, 267, 243, 1331, 567, 6033]), - (532, 13, 351, &[1, 1, 5, 1, 7, 49, 55, 89, 109, 735, 1455, 3193, 6239]), - (533, 13, 358, &[1, 1, 1, 7, 1, 61, 9, 103, 3, 929, 1481, 2927, 2957]), - (534, 13, 375, &[1, 1, 5, 13, 17, 21, 75, 49, 255, 1019, 1161, 2133, 1177]), - (535, 13, 379, &[1, 3, 1, 3, 13, 15, 41, 247, 211, 409, 1163, 523, 2635]), - (536, 13, 381, &[1, 3, 7, 7, 21, 59, 91, 149, 479, 391, 681, 2311, 6249]), - (537, 13, 386, &[1, 1, 5, 11, 27, 53, 21, 211, 197, 815, 719, 1605, 255]), - (538, 13, 403, &[1, 1, 3, 3, 9, 33, 59, 3, 323, 1, 101, 1135, 8105]), - (539, 13, 405, &[1, 3, 3, 1, 29, 5, 17, 141, 51, 991, 841, 327, 3859]), - (540, 13, 419, &[1, 3, 1, 5, 11, 19, 23, 89, 175, 173, 165, 2881, 1881]), - (541, 13, 426, &[1, 1, 1, 15, 13, 51, 87, 39, 495, 611, 1341, 1531, 7029]), - (542, 13, 428, &[1, 1, 3, 11, 13, 55, 75, 185, 57, 61, 1917, 2051, 5965]), - (543, 13, 439, &[1, 1, 5, 5, 7, 53, 11, 217, 213, 933, 921, 3607, 5175]), - (544, 13, 440, &[1, 3, 3, 5, 17, 53, 103, 251, 369, 781, 1319, 3717, 4439]), - (545, 13, 446, &[1, 3, 5, 13, 1, 39, 25, 235, 321, 773, 251, 3111, 6397]), - (546, 13, 451, &[1, 1, 7, 3, 31, 5, 25, 29, 325, 385, 1313, 127, 4705]), - (547, 13, 454, &[1, 1, 5, 15, 15, 27, 15, 85, 239, 243, 1633, 3473, 2621]), - (548, 13, 458, &[1, 3, 3, 3, 9, 19, 113, 13, 137, 165, 25, 2957, 7549]), - (549, 13, 465, &[1, 3, 1, 3, 11, 21, 3, 97, 417, 183, 1205, 1437, 247]), - (550, 13, 468, &[1, 1, 7, 3, 17, 21, 125, 55, 67, 387, 385, 2323, 887]), - (551, 13, 472, &[1, 3, 5, 5, 29, 11, 103, 223, 233, 641, 133, 415, 1297]), - (552, 13, 475, &[1, 3, 3, 11, 1, 9, 5, 189, 235, 1007, 1363, 3985, 889]), - (553, 13, 477, &[1, 3, 7, 9, 23, 19, 19, 183, 269, 403, 1643, 3559, 5189]), - (554, 13, 496, &[1, 3, 7, 3, 29, 45, 17, 69, 475, 149, 1291, 2689, 7625]), - (555, 13, 502, &[1, 3, 7, 3, 27, 37, 41, 73, 253, 1001, 431, 1111, 7887]), - (556, 13, 508, &[1, 1, 7, 5, 3, 7, 87, 143, 289, 495, 631, 3011, 6151]), - (557, 13, 517, &[1, 1, 1, 13, 5, 45, 17, 167, 23, 975, 801, 1975, 6833]), - (558, 13, 521, &[1, 3, 1, 11, 7, 21, 39, 23, 213, 429, 1301, 2059, 197]), - (559, 13, 527, &[1, 3, 3, 15, 3, 57, 121, 133, 29, 711, 1961, 2497, 189]), - (560, 13, 530, &[1, 1, 3, 5, 11, 55, 115, 137, 233, 673, 985, 2849, 5911]), - (561, 13, 532, &[1, 1, 7, 15, 29, 45, 1, 241, 329, 323, 925, 2821, 3331]), - (562, 13, 542, &[1, 1, 5, 7, 13, 31, 81, 105, 199, 145, 195, 1365, 5119]), - (563, 13, 552, &[1, 3, 7, 11, 3, 55, 11, 31, 117, 343, 1265, 1837, 2451]), - (564, 13, 555, &[1, 1, 3, 7, 29, 57, 61, 179, 429, 591, 177, 1945, 2159]), - (565, 13, 560, &[1, 3, 5, 11, 23, 49, 101, 137, 339, 323, 1035, 1749, 7737]), - (566, 13, 566, &[1, 3, 1, 13, 21, 35, 55, 79, 19, 269, 1055, 2651, 7083]), - (567, 13, 575, &[1, 3, 3, 11, 9, 9, 95, 167, 437, 361, 1185, 4083, 603]), - (568, 13, 577, &[1, 1, 1, 7, 31, 61, 77, 65, 489, 657, 691, 2423, 4147]), - (569, 13, 589, &[1, 3, 5, 7, 21, 37, 87, 191, 311, 453, 2013, 829, 2619]), - (570, 13, 590, &[1, 1, 5, 9, 17, 47, 35, 101, 5, 813, 1157, 1279, 7365]), - (571, 13, 602, &[1, 1, 5, 3, 11, 35, 113, 199, 369, 721, 901, 1471, 7801]), - (572, 13, 607, &[1, 3, 1, 5, 9, 61, 83, 157, 391, 739, 1957, 2123, 4341]), - (573, 13, 608, &[1, 3, 5, 11, 19, 19, 111, 225, 383, 219, 997, 717, 7505]), - (574, 13, 611, &[1, 3, 1, 11, 13, 63, 35, 127, 209, 831, 501, 3017, 3507]), - (575, 13, 613, &[1, 3, 7, 9, 29, 7, 11, 163, 81, 563, 1445, 3215, 6377]), - (576, 13, 625, &[1, 3, 7, 11, 25, 3, 39, 195, 491, 45, 839, 4021, 4899]), - (577, 13, 644, &[1, 3, 7, 15, 13, 5, 67, 143, 117, 505, 1281, 3679, 5695]), - (578, 13, 651, &[1, 3, 7, 9, 9, 19, 21, 221, 147, 763, 683, 2211, 589]), - (579, 13, 654, &[1, 1, 3, 5, 21, 47, 53, 109, 299, 807, 1153, 1209, 7961]), - (580, 13, 656, &[1, 3, 7, 11, 9, 31, 45, 43, 505, 647, 1127, 2681, 4917]), - (581, 13, 662, &[1, 1, 5, 15, 31, 41, 63, 113, 399, 727, 673, 2587, 5259]), - (582, 13, 668, &[1, 1, 1, 13, 17, 53, 35, 99, 57, 243, 1447, 1919, 2831]), - (583, 13, 681, &[1, 3, 7, 11, 23, 51, 13, 9, 49, 449, 997, 3073, 4407]), - (584, 13, 682, &[1, 3, 5, 7, 23, 33, 89, 41, 415, 53, 697, 1113, 1489]), - (585, 13, 689, &[1, 1, 3, 7, 1, 13, 29, 13, 255, 749, 77, 3463, 1761]), - (586, 13, 696, &[1, 3, 3, 7, 13, 15, 93, 191, 309, 869, 739, 1041, 3053]), - (587, 13, 699, &[1, 3, 5, 13, 5, 19, 109, 211, 347, 839, 893, 2947, 7735]), - (588, 13, 707, &[1, 3, 1, 13, 27, 3, 119, 157, 485, 99, 1703, 3895, 573]), - (589, 13, 709, &[1, 3, 7, 11, 1, 23, 123, 105, 31, 359, 275, 1775, 3685]), - (590, 13, 714, &[1, 3, 3, 5, 27, 11, 125, 3, 413, 199, 2043, 2895, 2945]), - (591, 13, 716, &[1, 3, 3, 3, 15, 49, 121, 159, 233, 543, 193, 4007, 321]), - (592, 13, 719, &[1, 1, 3, 5, 9, 47, 87, 1, 51, 1011, 1595, 2239, 6467]), - (593, 13, 727, &[1, 3, 7, 9, 1, 33, 87, 137, 469, 749, 1413, 805, 6817]), - (594, 13, 734, &[1, 3, 1, 13, 19, 45, 95, 227, 29, 677, 1275, 3395, 4451]), - (595, 13, 738, &[1, 1, 7, 5, 7, 63, 33, 71, 443, 561, 1311, 3069, 6943]), - (596, 13, 743, &[1, 1, 1, 13, 9, 37, 23, 69, 13, 415, 1479, 1197, 861]), - (597, 13, 747, &[1, 3, 3, 13, 27, 21, 13, 233, 105, 777, 345, 2443, 1105]), - (598, 13, 757, &[1, 1, 7, 11, 23, 13, 21, 147, 221, 549, 73, 2729, 6279]), - (599, 13, 769, &[1, 1, 7, 7, 25, 27, 15, 45, 227, 39, 75, 1191, 3563]), - (600, 13, 770, &[1, 1, 5, 7, 13, 49, 99, 167, 227, 13, 353, 1047, 8075]), - (601, 13, 776, &[1, 1, 3, 13, 31, 9, 27, 7, 461, 737, 1559, 3243, 53]), - (602, 13, 790, &[1, 3, 1, 1, 21, 41, 97, 165, 171, 821, 587, 2137, 2293]), - (603, 13, 799, &[1, 3, 1, 11, 17, 41, 29, 187, 87, 599, 1467, 1395, 5931]), - (604, 13, 805, &[1, 1, 1, 9, 9, 49, 89, 205, 409, 453, 61, 1923, 1257]), - (605, 13, 809, &[1, 3, 7, 3, 9, 43, 89, 143, 431, 83, 1243, 1795, 3599]), - (606, 13, 812, &[1, 3, 5, 13, 3, 25, 59, 219, 43, 223, 797, 2651, 6015]), - (607, 13, 820, &[1, 1, 5, 15, 7, 55, 65, 207, 213, 311, 1287, 1269, 6467]), - (608, 13, 827, &[1, 3, 7, 11, 21, 57, 31, 183, 351, 857, 911, 1683, 7155]), - (609, 13, 829, &[1, 3, 5, 11, 27, 1, 21, 47, 387, 383, 1593, 115, 3805]), - (610, 13, 835, &[1, 3, 1, 1, 13, 23, 87, 173, 181, 619, 1653, 3931, 6073]), - (611, 13, 841, &[1, 1, 7, 5, 17, 43, 37, 61, 307, 621, 1785, 55, 115]), - (612, 13, 844, &[1, 3, 7, 15, 25, 61, 123, 15, 237, 671, 1473, 467, 1907]), - (613, 13, 856, &[1, 1, 7, 5, 29, 57, 75, 237, 85, 699, 159, 3577, 4771]), - (614, 13, 859, &[1, 1, 1, 11, 25, 19, 51, 1, 147, 31, 895, 2617, 625]), - (615, 13, 862, &[1, 3, 7, 5, 29, 15, 115, 175, 395, 391, 1141, 1827, 1181]), - (616, 13, 865, &[1, 3, 5, 7, 17, 7, 11, 193, 89, 243, 561, 3787, 4551]), - (617, 13, 885, &[1, 3, 1, 11, 7, 57, 7, 125, 403, 947, 1261, 409, 8083]), - (618, 13, 890, &[1, 1, 5, 13, 21, 63, 115, 233, 231, 921, 1747, 3635, 2519]), - (619, 13, 905, &[1, 1, 5, 11, 3, 27, 15, 91, 505, 591, 1451, 3881, 2997]), - (620, 13, 916, &[1, 1, 3, 11, 21, 9, 109, 153, 317, 533, 593, 3967, 2797]), - (621, 13, 925, &[1, 3, 3, 13, 9, 57, 121, 245, 219, 867, 967, 791, 7095]), - (622, 13, 935, &[1, 1, 1, 9, 29, 21, 99, 35, 375, 959, 329, 4087, 7171]), - (623, 13, 939, &[1, 1, 1, 9, 11, 17, 17, 97, 89, 135, 631, 3809, 3253]), - (624, 13, 942, &[1, 1, 1, 15, 21, 51, 91, 249, 459, 801, 757, 2353, 2033]), - (625, 13, 949, &[1, 3, 5, 9, 23, 29, 77, 53, 399, 767, 1817, 2171, 1629]), - (626, 13, 953, &[1, 1, 3, 5, 29, 5, 43, 121, 17, 859, 1479, 3785, 6641]), - (627, 13, 956, &[1, 1, 3, 7, 7, 61, 45, 109, 371, 833, 91, 153, 4553]), - (628, 13, 961, &[1, 1, 3, 11, 7, 55, 81, 123, 389, 139, 1933, 891, 1789]), - (629, 13, 968, &[1, 3, 7, 15, 25, 17, 93, 165, 503, 717, 1553, 1475, 1627]), - (630, 13, 976, &[1, 1, 1, 13, 13, 63, 13, 225, 357, 571, 33, 4073, 3795]), - (631, 13, 988, &[1, 1, 3, 11, 1, 31, 107, 145, 407, 961, 501, 2987, 103]), - (632, 13, 995, &[1, 1, 7, 1, 23, 63, 49, 193, 173, 281, 25, 2465, 5927]), - (633, 13, 997, &[1, 1, 7, 1, 1, 1, 85, 77, 273, 693, 349, 1239, 4503]), - (634, 13, 1007, &[1, 1, 5, 11, 7, 61, 9, 121, 25, 357, 1443, 405, 7827]), - (635, 13, 1015, &[1, 1, 7, 13, 11, 53, 11, 207, 145, 211, 1703, 1081, 2117]), - (636, 13, 1016, &[1, 1, 3, 11, 27, 23, 19, 9, 297, 279, 1481, 2273, 6387]), - (637, 13, 1027, &[1, 3, 3, 5, 15, 45, 3, 41, 305, 87, 1815, 3461, 5349]), - (638, 13, 1036, &[1, 3, 3, 13, 9, 37, 79, 125, 259, 561, 1087, 4091, 793]), - (639, 13, 1039, &[1, 3, 5, 7, 31, 55, 7, 145, 347, 929, 589, 2783, 5905]), - (640, 13, 1041, &[1, 1, 7, 15, 3, 25, 1, 181, 13, 243, 653, 2235, 7445]), - (641, 13, 1048, &[1, 3, 5, 5, 17, 53, 65, 7, 33, 583, 1363, 1313, 2319]), - (642, 13, 1053, &[1, 3, 3, 7, 27, 47, 97, 201, 187, 321, 63, 1515, 7917]), - (643, 13, 1054, &[1, 1, 3, 5, 23, 9, 3, 165, 61, 19, 1789, 3783, 3037]), - (644, 13, 1058, &[1, 3, 1, 13, 15, 43, 125, 191, 67, 273, 1551, 2227, 5253]), - (645, 13, 1075, &[1, 1, 1, 13, 25, 53, 107, 33, 299, 249, 1475, 2233, 907]), - (646, 13, 1082, &[1, 3, 5, 1, 23, 37, 85, 17, 207, 643, 665, 2933, 5199]), - (647, 13, 1090, &[1, 1, 7, 7, 25, 57, 59, 41, 15, 751, 751, 1749, 7053]), - (648, 13, 1109, &[1, 3, 3, 1, 13, 25, 127, 93, 281, 613, 875, 2223, 6345]), - (649, 13, 1110, &[1, 1, 5, 3, 29, 55, 79, 249, 43, 317, 533, 995, 1991]), - (650, 13, 1119, &[1, 3, 3, 15, 17, 49, 79, 31, 193, 233, 1437, 2615, 819]), - (651, 13, 1126, &[1, 1, 5, 15, 25, 3, 123, 145, 377, 9, 455, 1191, 3953]), - (652, 13, 1130, &[1, 3, 5, 3, 15, 19, 41, 231, 81, 393, 3, 19, 2409]), - (653, 13, 1135, &[1, 1, 3, 1, 27, 43, 113, 179, 7, 853, 947, 2731, 297]), - (654, 13, 1137, &[1, 1, 1, 11, 29, 39, 53, 191, 443, 689, 529, 3329, 7431]), - (655, 13, 1140, &[1, 3, 7, 5, 3, 29, 19, 67, 441, 113, 949, 2769, 4169]), - (656, 13, 1149, &[1, 3, 5, 11, 11, 55, 85, 169, 215, 815, 803, 2345, 3967]), - (657, 13, 1156, &[1, 1, 7, 9, 5, 45, 111, 5, 419, 375, 303, 1725, 4489]), - (658, 13, 1159, &[1, 3, 5, 15, 29, 43, 79, 19, 23, 417, 381, 541, 4923]), - (659, 13, 1160, &[1, 1, 3, 15, 3, 31, 117, 39, 117, 305, 1227, 1223, 143]), - (660, 13, 1165, &[1, 1, 5, 9, 5, 47, 87, 239, 181, 353, 1561, 3313, 1921]), - (661, 13, 1173, &[1, 3, 3, 1, 3, 15, 53, 221, 441, 987, 1997, 2529, 8059]), - (662, 13, 1178, &[1, 1, 7, 11, 15, 57, 111, 139, 137, 883, 1881, 2823, 5661]), - (663, 13, 1183, &[1, 3, 5, 5, 21, 11, 5, 13, 27, 973, 587, 1331, 1373]), - (664, 13, 1184, &[1, 1, 7, 11, 29, 51, 93, 29, 217, 221, 55, 2477, 1979]), - (665, 13, 1189, &[1, 3, 3, 13, 3, 11, 49, 75, 379, 371, 1441, 793, 7633]), - (666, 13, 1194, &[1, 1, 1, 13, 19, 45, 89, 249, 91, 649, 1695, 915, 5619]), - (667, 13, 1211, &[1, 3, 1, 7, 7, 29, 1, 77, 313, 895, 519, 771, 295]), - (668, 13, 1214, &[1, 3, 1, 15, 5, 3, 1, 57, 331, 109, 485, 2853, 6831]), - (669, 13, 1216, &[1, 1, 1, 15, 17, 3, 35, 99, 245, 971, 839, 2509, 2803]), - (670, 13, 1225, &[1, 3, 3, 3, 9, 37, 57, 251, 325, 317, 529, 1313, 6379]), - (671, 13, 1231, &[1, 1, 1, 15, 25, 59, 1, 119, 95, 15, 795, 2375, 6463]), - (672, 13, 1239, &[1, 3, 1, 5, 1, 49, 117, 21, 47, 179, 863, 85, 1669]), - (673, 13, 1243, &[1, 3, 7, 3, 9, 37, 19, 221, 455, 973, 571, 1427, 817]), - (674, 13, 1246, &[1, 1, 1, 15, 17, 9, 67, 213, 127, 887, 1299, 2913, 7451]), - (675, 13, 1249, &[1, 3, 1, 13, 27, 27, 41, 43, 171, 623, 691, 391, 4885]), - (676, 13, 1259, &[1, 3, 1, 13, 17, 17, 123, 239, 143, 227, 1151, 519, 6543]), - (677, 13, 1273, &[1, 3, 7, 5, 7, 63, 97, 39, 101, 555, 1057, 381, 7891]), - (678, 13, 1274, &[1, 3, 5, 1, 3, 27, 85, 129, 161, 875, 1945, 3541, 695]), - (679, 13, 1281, &[1, 3, 3, 5, 21, 59, 25, 183, 35, 25, 987, 1459, 181]), - (680, 13, 1287, &[1, 3, 5, 13, 1, 15, 127, 237, 349, 337, 1491, 2383, 7811]), - (681, 13, 1294, &[1, 3, 5, 5, 31, 5, 109, 51, 409, 733, 1395, 3207, 6049]), - (682, 13, 1296, &[1, 1, 5, 7, 13, 35, 113, 25, 263, 389, 299, 2521, 1783]), - (683, 13, 1305, &[1, 3, 7, 11, 15, 47, 97, 73, 55, 75, 113, 2695, 1023]), - (684, 13, 1306, &[1, 3, 1, 1, 3, 13, 69, 211, 289, 483, 1335, 787, 677]), - (685, 13, 1318, &[1, 1, 3, 3, 17, 7, 37, 77, 505, 137, 1113, 345, 2975]), - (686, 13, 1332, &[1, 1, 1, 13, 3, 11, 95, 199, 453, 109, 479, 3725, 239]), - (687, 13, 1335, &[1, 1, 7, 15, 19, 53, 3, 145, 359, 863, 347, 3833, 3043]), - (688, 13, 1336, &[1, 1, 7, 15, 25, 63, 127, 129, 125, 195, 155, 2211, 8153]), - (689, 13, 1341, &[1, 1, 7, 13, 9, 49, 121, 115, 73, 119, 1851, 727, 47]), - (690, 13, 1342, &[1, 3, 3, 13, 13, 11, 71, 7, 45, 591, 133, 2407, 5563]), - (691, 13, 1362, &[1, 1, 1, 13, 23, 29, 87, 89, 501, 71, 1759, 1119, 687]), - (692, 13, 1364, &[1, 1, 7, 7, 13, 7, 13, 183, 53, 951, 1877, 3991, 6771]), - (693, 13, 1368, &[1, 3, 7, 11, 7, 1, 27, 47, 61, 21, 919, 961, 1091]), - (694, 13, 1378, &[1, 3, 5, 5, 1, 27, 1, 5, 63, 157, 1297, 1049, 5893]), - (695, 13, 1387, &[1, 3, 7, 9, 19, 33, 17, 133, 425, 797, 1721, 153, 119]), - (696, 13, 1389, &[1, 3, 3, 7, 13, 37, 1, 215, 509, 1003, 61, 2353, 7511]), - (697, 13, 1397, &[1, 1, 7, 1, 29, 19, 31, 79, 199, 555, 1209, 1603, 6089]), - (698, 13, 1401, &[1, 3, 1, 1, 5, 31, 111, 127, 333, 429, 1863, 3925, 5411]), - (699, 13, 1408, &[1, 1, 7, 5, 5, 5, 123, 191, 47, 993, 269, 4051, 2111]), - (700, 13, 1418, &[1, 1, 5, 15, 1, 9, 87, 5, 47, 463, 865, 1813, 7357]), - (701, 13, 1425, &[1, 3, 1, 3, 23, 63, 123, 83, 511, 777, 63, 1285, 4537]), - (702, 13, 1426, &[1, 3, 3, 7, 27, 25, 31, 65, 441, 529, 1815, 1893, 323]), - (703, 13, 1431, &[1, 3, 7, 5, 11, 19, 7, 5, 397, 811, 755, 2883, 4217]), - (704, 13, 1435, &[1, 3, 1, 13, 9, 21, 13, 7, 271, 539, 1769, 3243, 5325]), - (705, 13, 1441, &[1, 1, 7, 1, 31, 13, 47, 131, 181, 457, 1559, 2663, 6653]), - (706, 13, 1444, &[1, 3, 3, 7, 29, 55, 25, 203, 419, 91, 437, 1159, 5691]), - (707, 13, 1462, &[1, 1, 3, 13, 29, 19, 71, 217, 337, 329, 501, 939, 2205]), - (708, 13, 1471, &[1, 1, 3, 1, 1, 27, 17, 201, 97, 285, 1269, 4043, 2207]), - (709, 13, 1474, &[1, 1, 1, 1, 3, 41, 13, 199, 141, 129, 1515, 3129, 5969]), - (710, 13, 1483, &[1, 3, 3, 9, 3, 17, 119, 41, 271, 933, 877, 701, 2197]), - (711, 13, 1485, &[1, 1, 1, 7, 15, 47, 3, 195, 115, 821, 725, 843, 6071]), - (712, 13, 1494, &[1, 3, 5, 15, 17, 33, 85, 65, 297, 571, 1123, 2743, 5727]), - (713, 13, 1497, &[1, 1, 5, 11, 27, 15, 37, 235, 415, 293, 1439, 2739, 4171]), - (714, 13, 1516, &[1, 3, 7, 7, 1, 55, 71, 35, 307, 11, 401, 1881, 933]), - (715, 13, 1522, &[1, 3, 1, 11, 21, 37, 3, 177, 119, 339, 559, 3991, 3437]), - (716, 13, 1534, &[1, 3, 3, 9, 17, 17, 97, 119, 301, 169, 157, 3267, 2261]), - (717, 13, 1543, &[1, 3, 3, 9, 29, 3, 111, 101, 355, 869, 375, 2609, 7377]), - (718, 13, 1552, &[1, 3, 5, 9, 7, 21, 123, 99, 343, 693, 1927, 1605, 4923]), - (719, 13, 1557, &[1, 1, 3, 5, 13, 31, 99, 17, 75, 385, 1539, 1553, 7077]), - (720, 13, 1558, &[1, 3, 3, 5, 31, 35, 107, 11, 407, 1019, 1317, 3593, 7203]), - (721, 13, 1567, &[1, 3, 3, 13, 17, 33, 99, 245, 401, 957, 157, 1949, 1571]), - (722, 13, 1568, &[1, 3, 1, 11, 27, 15, 11, 109, 429, 307, 1911, 2701, 861]), - (723, 13, 1574, &[1, 1, 5, 13, 13, 35, 55, 255, 311, 957, 1803, 2673, 5195]), - (724, 13, 1592, &[1, 1, 1, 11, 19, 3, 89, 37, 211, 783, 1355, 3567, 7135]), - (725, 13, 1605, &[1, 1, 5, 5, 21, 49, 79, 17, 509, 331, 183, 3831, 855]), - (726, 13, 1606, &[1, 3, 7, 5, 29, 19, 85, 109, 105, 523, 845, 3385, 7477]), - (727, 13, 1610, &[1, 1, 1, 7, 25, 17, 125, 131, 53, 757, 253, 2989, 2939]), - (728, 13, 1617, &[1, 3, 3, 9, 19, 23, 105, 39, 351, 677, 211, 401, 8103]), - (729, 13, 1623, &[1, 3, 5, 1, 5, 11, 17, 3, 405, 469, 1569, 2865, 3133]), - (730, 13, 1630, &[1, 1, 3, 13, 15, 5, 117, 179, 139, 145, 477, 1137, 2537]), - (731, 13, 1634, &[1, 1, 7, 9, 5, 21, 9, 93, 211, 963, 1207, 3343, 4911]), - (732, 13, 1640, &[1, 1, 1, 9, 13, 43, 17, 53, 81, 793, 1571, 2523, 3683]), - (733, 13, 1643, &[1, 3, 3, 13, 25, 21, 5, 59, 489, 987, 1941, 171, 6009]), - (734, 13, 1648, &[1, 3, 3, 7, 1, 39, 89, 171, 403, 467, 1767, 3423, 2791]), - (735, 13, 1651, &[1, 1, 3, 9, 19, 49, 91, 125, 163, 1013, 89, 2849, 6785]), - (736, 13, 1653, &[1, 1, 5, 9, 9, 11, 15, 241, 43, 297, 1719, 1541, 1821]), - (737, 13, 1670, &[1, 3, 7, 15, 29, 23, 103, 239, 191, 33, 1043, 3649, 6579]), - (738, 13, 1676, &[1, 3, 3, 9, 21, 51, 123, 55, 223, 645, 1463, 4021, 5891]), - (739, 13, 1684, &[1, 1, 5, 7, 3, 41, 27, 235, 391, 303, 2021, 3187, 7607]), - (740, 13, 1687, &[1, 1, 1, 9, 5, 49, 49, 29, 377, 251, 1887, 1017, 1301]), - (741, 13, 1691, &[1, 1, 3, 3, 13, 41, 27, 47, 223, 23, 517, 3227, 6731]), - (742, 13, 1693, &[1, 1, 7, 1, 31, 25, 47, 9, 511, 623, 2047, 1263, 1511]), - (743, 13, 1698, &[1, 1, 3, 15, 15, 23, 53, 1, 261, 595, 85, 241, 7047]), - (744, 13, 1709, &[1, 3, 3, 11, 17, 5, 81, 73, 149, 781, 2035, 3163, 4247]), - (745, 13, 1715, &[1, 3, 7, 7, 29, 59, 49, 79, 397, 901, 1105, 2191, 6277]), - (746, 13, 1722, &[1, 3, 3, 11, 13, 27, 25, 173, 107, 73, 1265, 585, 5251]), - (747, 13, 1732, &[1, 1, 7, 15, 29, 23, 73, 229, 235, 887, 1469, 4073, 2591]), - (748, 13, 1735, &[1, 1, 3, 9, 17, 15, 83, 173, 207, 879, 1701, 1509, 11]), - (749, 13, 1747, &[1, 1, 3, 5, 5, 37, 65, 161, 39, 421, 1153, 2007, 5355]), - (750, 13, 1749, &[1, 1, 7, 11, 23, 37, 5, 11, 9, 499, 17, 157, 5747]), - (751, 13, 1754, &[1, 3, 7, 13, 25, 9, 49, 7, 39, 945, 1349, 1759, 1441]), - (752, 13, 1777, &[1, 1, 5, 3, 21, 15, 113, 81, 265, 837, 333, 3625, 6133]), - (753, 13, 1784, &[1, 3, 1, 11, 13, 27, 73, 109, 297, 327, 299, 3253, 6957]), - (754, 13, 1790, &[1, 1, 3, 13, 19, 39, 123, 73, 65, 5, 1061, 2187, 5055]), - (755, 13, 1795, &[1, 1, 3, 1, 11, 31, 21, 115, 453, 857, 711, 495, 549]), - (756, 13, 1801, &[1, 3, 7, 7, 15, 29, 79, 103, 47, 713, 1735, 3121, 6321]), - (757, 13, 1802, &[1, 1, 5, 5, 29, 9, 97, 33, 471, 705, 329, 1501, 1349]), - (758, 13, 1812, &[1, 3, 3, 1, 21, 9, 111, 209, 71, 47, 491, 2143, 1797]), - (759, 13, 1828, &[1, 3, 3, 3, 11, 39, 21, 135, 445, 259, 607, 3811, 5449]), - (760, 13, 1831, &[1, 1, 7, 9, 11, 25, 113, 251, 395, 317, 317, 91, 1979]), - (761, 13, 1837, &[1, 3, 1, 9, 3, 21, 103, 133, 389, 943, 1235, 1749, 7063]), - (762, 13, 1838, &[1, 1, 3, 7, 1, 11, 5, 15, 497, 477, 479, 3079, 6969]), - (763, 13, 1840, &[1, 1, 3, 3, 15, 39, 105, 131, 475, 465, 181, 865, 3813]), - (764, 13, 1845, &[1, 1, 7, 9, 19, 63, 123, 131, 415, 525, 457, 2471, 3135]), - (765, 13, 1863, &[1, 3, 7, 15, 25, 35, 123, 45, 341, 805, 485, 4049, 7065]), - (766, 13, 1864, &[1, 1, 1, 5, 29, 9, 47, 227, 51, 867, 1873, 1593, 2271]), - (767, 13, 1867, &[1, 1, 7, 15, 31, 9, 71, 117, 285, 711, 837, 1435, 6275]), - (768, 13, 1870, &[1, 3, 1, 1, 5, 19, 79, 25, 301, 415, 1871, 645, 3251]), - (769, 13, 1877, &[1, 3, 1, 3, 17, 51, 99, 185, 447, 43, 523, 219, 429]), - (770, 13, 1881, &[1, 3, 1, 13, 29, 13, 51, 93, 7, 995, 757, 3017, 6865]), - (771, 13, 1884, &[1, 1, 3, 15, 7, 25, 75, 17, 155, 981, 1231, 1229, 1995]), - (772, 13, 1903, &[1, 3, 5, 3, 27, 45, 71, 73, 225, 763, 377, 1139, 2863]), - (773, 13, 1917, &[1, 1, 3, 1, 1, 39, 69, 113, 29, 371, 1051, 793, 3749]), - (774, 13, 1918, &[1, 1, 3, 13, 23, 61, 27, 183, 307, 431, 1345, 2757, 4031]), - (775, 13, 1922, &[1, 3, 7, 5, 5, 59, 117, 197, 303, 721, 877, 723, 1601]), - (776, 13, 1924, &[1, 3, 5, 1, 27, 33, 99, 237, 485, 711, 665, 3077, 5105]), - (777, 13, 1928, &[1, 1, 3, 1, 13, 9, 103, 201, 23, 951, 2029, 165, 2093]), - (778, 13, 1931, &[1, 3, 5, 13, 5, 29, 55, 85, 221, 677, 611, 3613, 4567]), - (779, 13, 1951, &[1, 1, 1, 1, 7, 61, 9, 233, 261, 561, 953, 4023, 2443]), - (780, 13, 1952, &[1, 3, 3, 13, 1, 17, 103, 71, 223, 213, 833, 1747, 6999]), - (781, 13, 1957, &[1, 3, 5, 15, 25, 53, 57, 187, 25, 695, 1207, 4089, 2877]), - (782, 13, 1958, &[1, 1, 7, 1, 7, 31, 87, 129, 493, 519, 1555, 1155, 4637]), - (783, 13, 1964, &[1, 1, 1, 15, 21, 17, 23, 29, 19, 255, 927, 1791, 3093]), - (784, 13, 1967, &[1, 1, 3, 9, 17, 33, 95, 129, 175, 461, 287, 2633, 2325]), - (785, 13, 1970, &[1, 3, 5, 7, 23, 19, 63, 209, 249, 583, 1373, 2039, 2225]), - (786, 13, 1972, &[1, 3, 3, 5, 5, 19, 79, 241, 459, 355, 1455, 3313, 3639]), - (787, 13, 1994, &[1, 1, 7, 9, 21, 41, 97, 119, 129, 769, 1541, 3495, 7741]), - (788, 13, 2002, &[1, 1, 7, 11, 9, 29, 35, 255, 141, 937, 1763, 41, 1393]), - (789, 13, 2007, &[1, 3, 7, 1, 13, 51, 61, 157, 177, 847, 1829, 3539, 285]), - (790, 13, 2008, &[1, 1, 1, 15, 21, 13, 9, 55, 397, 19, 1495, 1255, 7235]), - (791, 13, 2023, &[1, 1, 7, 7, 25, 37, 53, 237, 319, 197, 269, 1205, 1485]), - (792, 13, 2030, &[1, 1, 5, 15, 23, 17, 35, 247, 323, 807, 233, 3681, 4407]), - (793, 13, 2035, &[1, 1, 3, 7, 9, 59, 85, 105, 493, 763, 1639, 391, 1451]), - (794, 13, 2038, &[1, 3, 3, 9, 15, 33, 5, 253, 129, 625, 1527, 2793, 6057]), - (795, 13, 2042, &[1, 3, 1, 1, 7, 47, 21, 161, 235, 83, 397, 3563, 5953]), - (796, 13, 2047, &[1, 3, 7, 11, 3, 41, 25, 117, 375, 779, 1297, 3715, 8117]), - (797, 13, 2051, &[1, 1, 3, 7, 31, 19, 103, 173, 475, 189, 2035, 2921, 1107]), - (798, 13, 2058, &[1, 1, 7, 3, 25, 7, 93, 255, 307, 113, 1893, 2233, 6919]), - (799, 13, 2060, &[1, 3, 5, 15, 9, 57, 79, 143, 165, 5, 1389, 193, 693]), - (800, 13, 2071, &[1, 3, 5, 1, 29, 45, 91, 49, 189, 461, 439, 1283, 7835]), - (801, 13, 2084, &[1, 1, 3, 13, 11, 61, 41, 231, 373, 695, 395, 915, 5393]), - (802, 13, 2087, &[1, 3, 7, 11, 5, 51, 67, 53, 483, 95, 1943, 247, 5653]), - (803, 13, 2099, &[1, 3, 7, 5, 5, 57, 45, 235, 137, 793, 1069, 1661, 1557]), - (804, 13, 2108, &[1, 3, 5, 3, 25, 55, 103, 177, 81, 861, 1151, 143, 7655]), - (805, 13, 2111, &[1, 1, 3, 1, 21, 41, 67, 131, 253, 431, 1269, 3181, 3429]), - (806, 13, 2120, &[1, 3, 1, 1, 21, 7, 77, 221, 257, 663, 71, 2949, 2481]), - (807, 13, 2128, &[1, 3, 5, 3, 3, 23, 45, 107, 299, 739, 1013, 3, 3165]), - (808, 13, 2138, &[1, 1, 5, 1, 3, 37, 109, 37, 243, 983, 1221, 1691, 3869]), - (809, 13, 2143, &[1, 1, 5, 5, 31, 7, 5, 193, 397, 867, 1495, 3435, 7441]), - (810, 13, 2144, &[1, 1, 1, 1, 17, 59, 97, 233, 389, 597, 1013, 1631, 483]), - (811, 13, 2153, &[1, 1, 1, 11, 7, 41, 107, 53, 111, 125, 1513, 1921, 7647]), - (812, 13, 2156, &[1, 3, 3, 3, 31, 29, 117, 3, 365, 971, 1139, 2123, 5913]), - (813, 13, 2162, &[1, 1, 1, 13, 23, 3, 1, 167, 475, 639, 1811, 3841, 3081]), - (814, 13, 2167, &[1, 1, 5, 3, 5, 47, 65, 123, 275, 783, 95, 119, 7591]), - (815, 13, 2178, &[1, 3, 1, 15, 13, 33, 93, 237, 467, 431, 705, 4013, 4035]), - (816, 13, 2183, &[1, 3, 5, 1, 19, 7, 101, 231, 155, 737, 1381, 3343, 2051]), - (817, 13, 2202, &[1, 1, 5, 9, 15, 49, 45, 163, 433, 765, 2031, 201, 2589]), - (818, 13, 2211, &[1, 3, 7, 9, 19, 41, 31, 89, 93, 623, 105, 745, 4409]), - (819, 13, 2214, &[1, 1, 5, 1, 11, 45, 127, 85, 389, 439, 829, 477, 7965]), - (820, 13, 2223, &[1, 3, 3, 15, 13, 41, 1, 207, 435, 585, 311, 1725, 2737]), - (821, 13, 2225, &[1, 3, 3, 3, 13, 49, 21, 31, 197, 799, 1411, 2959, 7133]), - (822, 13, 2232, &[1, 3, 1, 3, 7, 43, 9, 141, 133, 579, 1059, 93, 957]), - (823, 13, 2237, &[1, 3, 7, 1, 15, 51, 23, 213, 381, 851, 699, 2261, 3419]), - (824, 13, 2257, &[1, 3, 5, 9, 25, 35, 67, 141, 35, 409, 1423, 365, 1645]), - (825, 13, 2260, &[1, 3, 3, 11, 15, 33, 27, 181, 93, 87, 1761, 3511, 1353]), - (826, 13, 2267, &[1, 3, 5, 3, 25, 63, 111, 137, 321, 819, 705, 1547, 7271]), - (827, 13, 2274, &[1, 3, 1, 1, 5, 57, 99, 59, 411, 757, 1371, 3953, 3695]), - (828, 13, 2276, &[1, 3, 5, 11, 11, 21, 25, 147, 239, 455, 709, 953, 7175]), - (829, 13, 2285, &[1, 3, 3, 15, 5, 53, 91, 205, 341, 63, 723, 1565, 7135]), - (830, 13, 2288, &[1, 1, 7, 15, 11, 21, 99, 79, 63, 593, 2007, 3629, 5271]), - (831, 13, 2293, &[1, 3, 3, 1, 9, 21, 45, 175, 453, 435, 1855, 2649, 6959]), - (832, 13, 2294, &[1, 1, 3, 15, 15, 33, 121, 121, 251, 431, 1127, 3305, 4199]), - (833, 13, 2297, &[1, 1, 1, 9, 31, 15, 71, 29, 345, 391, 1159, 2809, 345]), - (834, 13, 2303, &[1, 3, 7, 1, 23, 29, 95, 151, 327, 727, 647, 1623, 2971]), - (835, 13, 2308, &[1, 1, 7, 7, 9, 29, 79, 91, 127, 909, 1293, 1315, 5315]), - (836, 13, 2311, &[1, 1, 5, 11, 13, 37, 89, 73, 149, 477, 1909, 3343, 525]), - (837, 13, 2318, &[1, 3, 5, 7, 5, 59, 55, 255, 223, 459, 2027, 237, 4205]), - (838, 13, 2323, &[1, 1, 1, 7, 27, 11, 95, 65, 325, 835, 907, 3801, 3787]), - (839, 13, 2332, &[1, 1, 1, 11, 27, 33, 99, 175, 51, 913, 331, 1851, 4133]), - (840, 13, 2341, &[1, 3, 5, 5, 13, 37, 31, 99, 273, 409, 1827, 3845, 5491]), - (841, 13, 2345, &[1, 1, 3, 7, 23, 19, 107, 85, 283, 523, 509, 451, 421]), - (842, 13, 2348, &[1, 3, 5, 7, 13, 9, 51, 81, 87, 619, 61, 2803, 5271]), - (843, 13, 2354, &[1, 1, 1, 15, 9, 45, 35, 219, 401, 271, 953, 649, 6847]), - (844, 13, 2368, &[1, 1, 7, 11, 9, 45, 17, 219, 169, 837, 1483, 1605, 2901]), - (845, 13, 2377, &[1, 1, 7, 7, 21, 43, 37, 33, 291, 359, 71, 2899, 7037]), - (846, 13, 2380, &[1, 3, 3, 13, 31, 53, 37, 15, 149, 949, 551, 3445, 5455]), - (847, 13, 2383, &[1, 3, 1, 5, 19, 45, 81, 223, 193, 439, 2047, 3879, 789]), - (848, 13, 2388, &[1, 1, 7, 3, 11, 63, 35, 61, 255, 563, 459, 2991, 3359]), - (849, 13, 2395, &[1, 1, 5, 9, 13, 49, 47, 185, 239, 221, 1533, 3635, 2045]), - (850, 13, 2397, &[1, 3, 7, 3, 25, 37, 127, 223, 51, 357, 483, 3837, 6873]), - (851, 13, 2401, &[1, 1, 7, 9, 31, 37, 113, 31, 387, 833, 1243, 1543, 5535]), - (852, 13, 2411, &[1, 3, 1, 9, 23, 59, 119, 221, 73, 185, 2007, 2885, 2563]), - (853, 13, 2413, &[1, 1, 1, 13, 7, 33, 53, 179, 67, 185, 1541, 1807, 4659]), - (854, 13, 2419, &[1, 3, 1, 11, 31, 37, 23, 215, 269, 357, 207, 645, 4219]), - (855, 13, 2435, &[1, 3, 3, 13, 19, 27, 107, 55, 91, 71, 1695, 1815, 89]), - (856, 13, 2442, &[1, 1, 3, 15, 3, 19, 35, 247, 49, 529, 1523, 3317, 6151]), - (857, 13, 2455, &[1, 1, 7, 7, 23, 25, 107, 139, 483, 503, 1277, 243, 7879]), - (858, 13, 2472, &[1, 3, 3, 13, 3, 15, 11, 197, 135, 839, 985, 275, 5527]), - (859, 13, 2478, &[1, 3, 5, 3, 25, 47, 95, 21, 113, 307, 1001, 3065, 295]), - (860, 13, 2490, &[1, 1, 3, 9, 19, 19, 99, 213, 363, 449, 735, 2851, 2521]), - (861, 13, 2507, &[1, 1, 3, 9, 5, 49, 63, 61, 157, 857, 497, 2801, 6987]), - (862, 13, 2509, &[1, 1, 1, 9, 1, 41, 109, 119, 499, 939, 867, 3675, 8023]), - (863, 13, 2517, &[1, 3, 1, 1, 13, 33, 109, 123, 289, 3, 1271, 2773, 4265]), - (864, 13, 2524, &[1, 3, 1, 11, 9, 57, 83, 221, 95, 43, 1189, 457, 7133]), - (865, 13, 2528, &[1, 1, 7, 3, 11, 49, 33, 219, 229, 289, 685, 3359, 4495]), - (866, 13, 2531, &[1, 3, 1, 3, 19, 43, 67, 193, 41, 771, 407, 81, 3891]), - (867, 13, 2538, &[1, 1, 7, 11, 5, 29, 51, 175, 297, 539, 1, 2245, 6439]), - (868, 13, 2545, &[1, 3, 7, 15, 21, 33, 117, 183, 511, 489, 1283, 3281, 5979]), - (869, 13, 2546, &[1, 3, 7, 5, 9, 3, 125, 147, 359, 549, 369, 3049, 2405]), - (870, 13, 2555, &[1, 3, 5, 7, 19, 5, 65, 97, 483, 377, 1523, 1457, 2995]), - (871, 13, 2557, &[1, 1, 5, 1, 11, 21, 41, 113, 277, 131, 1475, 1043, 2367]), - (872, 13, 2564, &[1, 3, 3, 1, 15, 17, 101, 69, 443, 865, 817, 1421, 5231]), - (873, 13, 2573, &[1, 1, 3, 3, 3, 55, 95, 99, 75, 195, 1929, 3931, 5855]), - (874, 13, 2579, &[1, 3, 1, 3, 19, 23, 93, 213, 241, 551, 1307, 585, 7729]), - (875, 13, 2592, &[1, 3, 1, 11, 23, 15, 53, 249, 467, 519, 95, 741, 409]), - (876, 13, 2598, &[1, 1, 1, 15, 29, 37, 43, 203, 233, 877, 77, 1933, 2729]), - (877, 13, 2607, &[1, 3, 7, 11, 27, 39, 43, 161, 255, 15, 1463, 833, 495]), - (878, 13, 2612, &[1, 1, 7, 11, 3, 53, 81, 67, 375, 823, 1903, 3061, 395]), - (879, 13, 2619, &[1, 1, 1, 1, 15, 37, 93, 233, 247, 501, 1321, 3275, 5409]), - (880, 13, 2621, &[1, 3, 3, 7, 7, 11, 5, 105, 139, 983, 1239, 531, 3881]), - (881, 13, 2627, &[1, 1, 5, 3, 19, 49, 107, 227, 361, 101, 355, 2649, 7383]), - (882, 13, 2633, &[1, 1, 7, 5, 25, 41, 101, 121, 209, 293, 1937, 2259, 5557]), - (883, 13, 2636, &[1, 1, 3, 7, 7, 1, 9, 13, 463, 1019, 995, 3159, 107]), - (884, 13, 2642, &[1, 3, 5, 11, 5, 35, 127, 97, 261, 789, 807, 807, 6257]), - (885, 13, 2654, &[1, 1, 7, 5, 11, 13, 45, 91, 417, 101, 1973, 3645, 2107]), - (886, 13, 2660, &[1, 1, 3, 7, 5, 63, 57, 49, 203, 157, 115, 1393, 8117]), - (887, 13, 2669, &[1, 3, 5, 5, 3, 43, 15, 155, 127, 489, 1165, 3701, 4867]), - (888, 13, 2675, &[1, 1, 7, 7, 29, 29, 69, 215, 415, 367, 371, 1901, 6075]), - (889, 13, 2684, &[1, 1, 1, 3, 11, 33, 89, 149, 433, 705, 1437, 1597, 505]), - (890, 13, 2694, &[1, 3, 5, 1, 13, 37, 19, 119, 5, 581, 2037, 1633, 2099]), - (891, 13, 2703, &[1, 3, 7, 13, 5, 49, 103, 245, 215, 515, 133, 2007, 1933]), - (892, 13, 2706, &[1, 3, 1, 9, 1, 3, 25, 197, 253, 387, 1683, 2267, 221]), - (893, 13, 2712, &[1, 3, 5, 15, 21, 9, 73, 201, 405, 999, 437, 3877, 6045]), - (894, 13, 2715, &[1, 1, 3, 1, 31, 55, 25, 83, 421, 395, 1807, 2129, 7797]), - (895, 13, 2722, &[1, 1, 3, 1, 23, 21, 121, 183, 125, 347, 143, 3685, 4317]), - (896, 13, 2727, &[1, 3, 3, 3, 17, 45, 17, 223, 267, 795, 1815, 1309, 155]), - (897, 13, 2734, &[1, 1, 1, 15, 17, 59, 5, 133, 15, 715, 1503, 153, 2887]), - (898, 13, 2742, &[1, 1, 1, 1, 27, 13, 119, 77, 243, 995, 1851, 3719, 4695]), - (899, 13, 2745, &[1, 3, 1, 5, 31, 49, 43, 165, 49, 609, 1265, 1141, 505]), - (900, 13, 2751, &[1, 1, 7, 13, 11, 63, 21, 253, 229, 585, 1543, 3719, 4141]), - (901, 13, 2766, &[1, 3, 7, 11, 23, 27, 17, 131, 295, 895, 1493, 1411, 3247]), - (902, 13, 2768, &[1, 1, 5, 9, 29, 7, 97, 15, 113, 445, 859, 1483, 1121]), - (903, 13, 2780, &[1, 3, 1, 9, 13, 49, 99, 107, 323, 201, 681, 3071, 5281]), - (904, 13, 2790, &[1, 1, 1, 15, 9, 19, 61, 161, 7, 87, 587, 2199, 2811]), - (905, 13, 2794, &[1, 3, 3, 15, 15, 19, 95, 45, 299, 829, 981, 3479, 487]), - (906, 13, 2796, &[1, 1, 1, 9, 3, 37, 7, 19, 227, 13, 397, 513, 1257]), - (907, 13, 2801, &[1, 1, 5, 15, 15, 13, 17, 111, 135, 929, 1145, 811, 1801]), - (908, 13, 2804, &[1, 3, 1, 3, 27, 57, 31, 19, 279, 103, 693, 631, 3409]), - (909, 13, 2807, &[1, 1, 1, 1, 15, 13, 67, 83, 23, 799, 1735, 2063, 3363]), - (910, 13, 2816, &[1, 3, 3, 7, 3, 1, 61, 31, 41, 533, 2025, 4067, 6963]), - (911, 13, 2821, &[1, 1, 5, 7, 17, 27, 81, 79, 107, 205, 29, 97, 4883]), - (912, 13, 2831, &[1, 1, 1, 5, 19, 49, 91, 201, 283, 949, 651, 3819, 5073]), - (913, 13, 2834, &[1, 1, 7, 9, 11, 13, 73, 197, 37, 219, 1931, 3369, 6017]), - (914, 13, 2839, &[1, 1, 7, 15, 11, 7, 75, 205, 7, 819, 399, 661, 6487]), - (915, 13, 2845, &[1, 3, 3, 3, 27, 37, 95, 41, 307, 165, 1077, 3485, 563]), - (916, 13, 2852, &[1, 3, 5, 3, 21, 49, 57, 179, 109, 627, 1789, 431, 2941]), - (917, 13, 2856, &[1, 1, 7, 5, 11, 19, 43, 137, 149, 679, 1543, 245, 1381]), - (918, 13, 2861, &[1, 3, 5, 5, 15, 3, 69, 81, 135, 159, 1363, 3401, 6355]), - (919, 13, 2873, &[1, 3, 5, 1, 9, 61, 49, 53, 319, 25, 1647, 1297, 615]), - (920, 13, 2874, &[1, 3, 5, 11, 31, 43, 9, 101, 71, 919, 335, 3147, 5823]), - (921, 13, 2888, &[1, 3, 1, 1, 15, 5, 29, 109, 511, 945, 867, 3677, 6915]), - (922, 13, 2893, &[1, 3, 3, 15, 17, 49, 91, 111, 215, 29, 1879, 97, 2505]), - (923, 13, 2894, &[1, 3, 1, 13, 19, 61, 11, 111, 163, 777, 533, 1113, 5339]), - (924, 13, 2902, &[1, 1, 7, 9, 17, 55, 117, 91, 455, 289, 557, 913, 4455]), - (925, 13, 2917, &[1, 3, 1, 7, 25, 19, 123, 37, 1, 277, 717, 2965, 4469]), - (926, 13, 2921, &[1, 3, 7, 3, 19, 23, 87, 235, 209, 457, 2041, 2893, 1805]), - (927, 13, 2922, &[1, 3, 3, 5, 5, 43, 23, 61, 351, 791, 59, 2009, 2909]), - (928, 13, 2929, &[1, 1, 3, 7, 5, 1, 27, 231, 385, 257, 1261, 2701, 1807]), - (929, 13, 2935, &[1, 3, 1, 1, 27, 19, 87, 253, 131, 685, 1743, 3983, 2651]), - (930, 13, 2946, &[1, 3, 7, 11, 21, 17, 11, 81, 191, 641, 1821, 3005, 7251]), - (931, 13, 2951, &[1, 3, 3, 5, 15, 31, 41, 213, 55, 931, 1953, 49, 6037]), - (932, 13, 2957, &[1, 1, 7, 15, 7, 27, 65, 223, 113, 79, 1875, 911, 5445]), - (933, 13, 2960, &[1, 3, 7, 7, 23, 55, 51, 167, 495, 25, 1585, 3447, 799]), - (934, 13, 2966, &[1, 1, 3, 7, 27, 15, 95, 193, 337, 415, 975, 3085, 967]), - (935, 13, 2972, &[1, 1, 7, 15, 19, 7, 93, 41, 433, 551, 401, 3169, 3971]), - (936, 13, 2976, &[1, 1, 7, 11, 13, 15, 53, 69, 433, 59, 1117, 3359, 6231]), - (937, 13, 2979, &[1, 1, 7, 3, 23, 5, 115, 201, 225, 109, 1903, 3897, 6265]), - (938, 13, 2985, &[1, 1, 1, 11, 17, 1, 39, 143, 361, 659, 1105, 23, 4923]), - (939, 13, 3000, &[1, 1, 1, 9, 27, 57, 85, 227, 261, 119, 1881, 3965, 6999]), - (940, 13, 3003, &[1, 3, 7, 7, 15, 7, 107, 17, 315, 49, 1591, 905, 7789]), - (941, 13, 3013, &[1, 3, 1, 7, 29, 3, 47, 237, 157, 769, 839, 3199, 3195]), - (942, 13, 3018, &[1, 1, 3, 15, 25, 39, 63, 15, 111, 857, 881, 1505, 7671]), - (943, 13, 3020, &[1, 1, 7, 1, 3, 35, 41, 215, 99, 895, 1025, 1483, 4707]), - (944, 13, 3025, &[1, 3, 5, 1, 1, 31, 25, 247, 113, 841, 397, 1825, 6969]), - (945, 13, 3042, &[1, 1, 3, 5, 19, 41, 49, 243, 225, 973, 241, 175, 1041]), - (946, 13, 3047, &[1, 1, 1, 7, 15, 15, 105, 141, 83, 75, 1675, 3523, 5219]), - (947, 13, 3048, &[1, 1, 7, 5, 13, 27, 47, 199, 445, 841, 959, 1157, 2209]), - (948, 13, 3051, &[1, 3, 5, 15, 23, 31, 31, 81, 85, 33, 785, 2639, 7799]), - (949, 13, 3054, &[1, 1, 5, 13, 21, 3, 47, 99, 235, 943, 1731, 2467, 7891]), - (950, 13, 3056, &[1, 1, 1, 3, 17, 53, 85, 219, 73, 131, 1339, 875, 1191]), - (951, 13, 3065, &[1, 1, 5, 7, 17, 63, 113, 7, 185, 557, 749, 3563, 4973]), - (952, 13, 3073, &[1, 3, 3, 15, 15, 21, 43, 111, 155, 689, 345, 423, 3597]), - (953, 13, 3074, &[1, 1, 5, 1, 15, 29, 93, 5, 361, 713, 695, 3937, 425]), - (954, 13, 3083, &[1, 3, 7, 7, 13, 41, 115, 175, 315, 937, 123, 2841, 4457]), - (955, 13, 3086, &[1, 1, 3, 11, 25, 5, 103, 53, 423, 811, 657, 399, 7257]), - (956, 13, 3091, &[1, 1, 1, 1, 1, 13, 101, 211, 383, 325, 97, 1703, 4429]), - (957, 13, 3097, &[1, 3, 7, 9, 31, 45, 83, 157, 509, 701, 841, 1105, 3643]), - (958, 13, 3109, &[1, 1, 1, 7, 1, 9, 69, 17, 129, 281, 1161, 2945, 7693]), - (959, 13, 3116, &[1, 3, 7, 1, 11, 29, 51, 143, 77, 433, 1723, 2317, 5641]), - (960, 13, 3124, &[1, 1, 1, 1, 21, 43, 13, 67, 177, 505, 1629, 1267, 4885]), - (961, 13, 3128, &[1, 1, 3, 11, 27, 63, 111, 47, 233, 781, 453, 1679, 3209]), - (962, 13, 3153, &[1, 1, 3, 13, 29, 27, 119, 141, 493, 971, 461, 1159, 633]), - (963, 13, 3160, &[1, 1, 3, 15, 23, 5, 79, 215, 163, 149, 1805, 2399, 61]), - (964, 13, 3165, &[1, 3, 5, 13, 19, 5, 1, 39, 409, 561, 709, 829, 1357]), - (965, 13, 3172, &[1, 3, 3, 13, 19, 43, 9, 177, 449, 447, 73, 2107, 5669]), - (966, 13, 3175, &[1, 3, 5, 1, 23, 13, 63, 109, 203, 593, 829, 4017, 6881]), - (967, 13, 3184, &[1, 1, 5, 7, 3, 9, 53, 175, 391, 169, 1283, 3793, 4451]), - (968, 13, 3193, &[1, 1, 5, 7, 29, 43, 9, 5, 209, 77, 927, 2941, 8145]), - (969, 13, 3196, &[1, 3, 5, 15, 17, 49, 5, 143, 131, 771, 1685, 925, 2175]), - (970, 13, 3200, &[1, 1, 3, 11, 27, 27, 27, 159, 161, 1015, 1587, 4049, 1983]), - (971, 13, 3203, &[1, 3, 1, 3, 23, 57, 119, 67, 481, 577, 389, 3319, 5325]), - (972, 13, 3205, &[1, 3, 5, 1, 19, 39, 87, 61, 329, 657, 1773, 31, 1707]), - (973, 13, 3209, &[1, 1, 3, 1, 5, 25, 15, 241, 131, 815, 1751, 3029, 8039]), - (974, 13, 3224, &[1, 3, 3, 13, 27, 13, 77, 87, 437, 57, 621, 1031, 7891]), - (975, 13, 3239, &[1, 3, 1, 13, 23, 51, 117, 37, 331, 745, 605, 3179, 4713]), - (976, 13, 3251, &[1, 1, 5, 5, 19, 17, 99, 167, 87, 721, 737, 789, 2165]), - (977, 13, 3254, &[1, 3, 5, 13, 1, 51, 119, 211, 165, 299, 1327, 3053, 3343]), - (978, 13, 3265, &[1, 1, 5, 15, 29, 45, 17, 129, 67, 345, 1553, 2705, 7369]), - (979, 13, 3266, &[1, 1, 1, 9, 23, 7, 13, 209, 7, 407, 317, 3077, 7287]), - (980, 13, 3275, &[1, 1, 1, 5, 9, 59, 89, 3, 487, 451, 505, 2499, 7563]), - (981, 13, 3280, &[1, 3, 1, 7, 21, 1, 21, 203, 101, 417, 1389, 2751, 1397]), - (982, 13, 3283, &[1, 3, 7, 13, 7, 31, 3, 247, 349, 485, 1259, 549, 6321]), - (983, 13, 3286, &[1, 1, 7, 7, 27, 33, 107, 197, 293, 729, 1753, 2571, 103]), - (984, 13, 3301, &[1, 3, 5, 9, 25, 35, 5, 253, 137, 213, 2041, 3387, 1809]), - (985, 13, 3302, &[1, 1, 7, 13, 15, 35, 67, 83, 295, 175, 839, 2831, 839]), - (986, 13, 3305, &[1, 3, 3, 11, 3, 17, 55, 141, 247, 991, 117, 3799, 1221]), - (987, 13, 3319, &[1, 1, 5, 1, 11, 37, 87, 233, 457, 653, 899, 2933, 3105]), - (988, 13, 3323, &[1, 1, 3, 15, 3, 31, 67, 167, 437, 9, 651, 1109, 1139]), - (989, 13, 3326, &[1, 1, 3, 1, 7, 63, 67, 17, 11, 883, 1855, 1941, 4751]), - (990, 13, 3331, &[1, 3, 7, 9, 19, 33, 113, 117, 495, 39, 1795, 2561, 5519]), - (991, 13, 3348, &[1, 1, 7, 5, 1, 3, 103, 37, 201, 223, 1101, 877, 6483]), - (992, 13, 3351, &[1, 1, 5, 9, 29, 49, 51, 33, 439, 917, 861, 1321, 2135]), - (993, 13, 3358, &[1, 1, 3, 3, 1, 5, 17, 93, 217, 619, 613, 1357, 6095]), - (994, 13, 3368, &[1, 3, 1, 11, 3, 21, 5, 41, 15, 175, 843, 2937, 6849]), - (995, 13, 3374, &[1, 3, 3, 7, 9, 57, 55, 127, 79, 287, 445, 2205, 7989]), - (996, 13, 3376, &[1, 1, 7, 13, 23, 17, 93, 129, 157, 135, 1747, 1813, 4183]), - (997, 13, 3379, &[1, 1, 1, 5, 31, 59, 99, 33, 425, 329, 887, 367, 1761]), - (998, 13, 3385, &[1, 1, 7, 9, 17, 53, 77, 139, 435, 387, 49, 3649, 1773]), - (999, 13, 3386, &[1, 3, 3, 15, 21, 57, 45, 161, 331, 719, 273, 3479, 4173]), - (1000, 13, 3396, &[1, 1, 3, 9, 3, 3, 105, 201, 373, 877, 919, 1263, 6649]), - (1001, 13, 3420, &[1, 3, 1, 15, 13, 43, 13, 99, 73, 163, 353, 3569, 5601]), - (1002, 13, 3423, &[1, 3, 7, 3, 5, 9, 69, 177, 449, 47, 781, 1125, 4245]), - (1003, 13, 3430, &[1, 1, 1, 5, 3, 45, 1, 123, 409, 903, 205, 2057, 7637]), - (1004, 13, 3433, &[1, 3, 5, 9, 19, 47, 87, 135, 481, 799, 101, 3409, 2241]), - (1005, 13, 3434, &[1, 3, 1, 13, 3, 25, 15, 27, 181, 967, 669, 2577, 7249]), - (1006, 13, 3439, &[1, 1, 7, 3, 31, 5, 103, 53, 1, 911, 1209, 3697, 6685]), - (1007, 13, 3442, &[1, 1, 3, 1, 5, 5, 49, 135, 281, 747, 761, 2973, 7963]), - (1008, 13, 3444, &[1, 3, 3, 5, 19, 61, 125, 199, 299, 515, 1365, 369, 7027]), - (1009, 13, 3453, &[1, 3, 1, 7, 5, 41, 63, 229, 283, 571, 147, 447, 657]), - (1010, 13, 3464, &[1, 3, 1, 11, 5, 15, 55, 7, 259, 61, 27, 1429, 5631]), - (1011, 13, 3477, &[1, 1, 5, 1, 3, 53, 51, 253, 155, 553, 1293, 3735, 6567]), - (1012, 13, 3478, &[1, 3, 5, 9, 5, 41, 21, 159, 101, 785, 1981, 3799, 7693]), - (1013, 13, 3482, &[1, 3, 7, 7, 9, 3, 95, 105, 129, 213, 1215, 1027, 5699]), - (1014, 13, 3487, &[1, 1, 3, 3, 29, 13, 9, 253, 449, 321, 341, 2879, 171]), - (1015, 13, 3497, &[1, 3, 7, 11, 21, 11, 75, 35, 43, 965, 675, 2217, 7175]), - (1016, 13, 3500, &[1, 1, 5, 15, 31, 5, 29, 137, 311, 751, 47, 1367, 5921]), - (1017, 13, 3505, &[1, 1, 3, 15, 17, 1, 45, 69, 55, 649, 835, 569, 7615]), - (1018, 13, 3506, &[1, 3, 1, 13, 31, 7, 23, 15, 391, 145, 1845, 1825, 1403]), - (1019, 13, 3511, &[1, 1, 3, 15, 5, 9, 79, 77, 105, 399, 1933, 2503, 4781]), - (1020, 13, 3512, &[1, 3, 1, 3, 17, 47, 19, 13, 107, 475, 759, 2933, 3761]), - (1021, 13, 3515, &[1, 1, 7, 11, 3, 7, 121, 209, 397, 877, 293, 847, 7039]), - (1022, 13, 3525, &[1, 1, 1, 15, 29, 45, 5, 109, 335, 461, 143, 931, 4045]), - (1023, 13, 3532, &[1, 3, 1, 7, 11, 57, 73, 89, 201, 173, 803, 3953, 5205]), - (1024, 13, 3538, &[1, 1, 5, 11, 11, 33, 37, 29, 263, 1019, 657, 1453, 7807]), -]; +/// Parses the direction numbers from a single line of the direction numbers +/// text file. Returns the `a` and `m` parts. +fn parse_direction_numbers(text: &str) -> Result<(u32, Vec), Box> { + let mut numbers = text.split_whitespace(); + assert!(numbers.clone().count() >= 4); + + // Skip the first two numbers, which are just the dimension and the count + // of direction numbers for this dimension. + let _ = numbers.next().unwrap().parse::()?; + let _ = numbers.next().unwrap().parse::()?; + + let a = numbers.next().unwrap().parse::()?; + + let mut m = Vec::new(); + for n in numbers { + m.push(n.parse::()?); + } + + Ok((a, m)) +} diff --git a/sub_crates/sobol/direction_numbers/LICENSE.txt b/sub_crates/sobol/direction_numbers/LICENSE.txt new file mode 100644 index 0000000..344e5d3 --- /dev/null +++ b/sub_crates/sobol/direction_numbers/LICENSE.txt @@ -0,0 +1,43 @@ +The data in this folder is from the website +http://web.maths.unsw.edu.au/~fkuo/sobol/ + +From these papers: + * S. Joe and F. Y. Kuo, Remark on Algorithm 659: Implementing + Sobol's quasirandom sequence generator, ACM Trans. Math. Softw. 29, + 49-57 (2003) + * S. Joe and F. Y. Kuo, Constructing Sobol sequences with better + two-dimensional projections, SIAM J. Sci. Comput. 30, 2635-2654 + (2008) + +Copyright (c) 2008, Frances Y. Kuo and Stephen Joe +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the + distribution. + + * Neither the names of the copyright holders nor the names of the + University of New South Wales and the University of Waikato + and its contributors may be used to endorse or promote products + derived from this software without specific prior written + permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY +EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE +LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR +BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, +WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE +OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN +IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/sub_crates/sobol/direction_numbers/new-joe-kuo-5.1024.txt b/sub_crates/sobol/direction_numbers/new-joe-kuo-5.1024.txt new file mode 100644 index 0000000..8ba1dc9 --- /dev/null +++ b/sub_crates/sobol/direction_numbers/new-joe-kuo-5.1024.txt @@ -0,0 +1,1024 @@ +d s a m_i +2 1 0 1 +3 2 1 1 3 +4 3 1 1 3 1 +5 3 2 1 1 1 +6 4 1 1 1 3 3 +7 4 4 1 3 5 13 +8 5 2 1 1 5 5 17 +9 5 4 1 1 5 5 5 +10 5 7 1 1 7 11 19 +11 5 11 1 1 5 1 1 +12 5 13 1 3 7 1 19 +13 5 14 1 3 3 5 7 +14 6 1 1 3 3 13 9 53 +15 6 13 1 1 5 11 1 1 +16 6 16 1 1 3 7 21 51 +17 6 19 1 1 1 15 1 5 +18 6 22 1 3 1 9 9 1 +19 6 25 1 1 5 5 17 61 +20 7 1 1 3 1 15 29 57 87 +21 7 4 1 3 5 15 3 11 17 +22 7 7 1 3 3 7 5 17 65 +23 7 8 1 3 5 1 25 29 49 +24 7 14 1 1 3 7 15 39 119 +25 7 19 1 3 3 5 19 51 61 +26 7 21 1 1 5 15 11 47 15 +27 7 28 1 1 7 3 29 51 51 +28 7 31 1 1 3 15 19 17 13 +29 7 32 1 3 7 3 17 9 93 +30 7 37 1 3 7 5 7 29 111 +31 7 41 1 1 7 9 25 19 105 +32 7 42 1 1 1 11 21 35 107 +33 7 50 1 1 5 11 19 53 25 +34 7 55 1 3 1 3 27 29 31 +35 7 56 1 1 5 13 27 19 61 +36 7 59 1 3 1 3 25 33 105 +37 7 62 1 3 7 11 27 55 1 +38 8 14 1 1 7 1 9 45 97 63 +39 8 21 1 1 7 9 3 17 85 213 +40 8 22 1 1 1 3 31 35 93 35 +41 8 38 1 3 5 9 1 63 117 35 +42 8 47 1 3 1 9 21 3 53 29 +43 8 49 1 3 1 9 29 33 43 181 +44 8 50 1 3 7 3 21 45 121 141 +45 8 52 1 1 1 13 5 49 45 77 +46 8 56 1 1 3 3 1 47 37 151 +47 8 67 1 3 7 5 9 51 61 95 +48 8 70 1 1 1 7 31 23 81 105 +49 8 84 1 3 5 15 15 9 115 55 +50 8 97 1 3 3 13 15 1 87 11 +51 8 103 1 3 5 1 5 9 29 241 +52 8 115 1 1 1 9 19 5 115 191 +53 8 122 1 1 1 15 1 57 107 49 +54 9 8 1 1 7 7 23 21 71 187 207 +55 9 13 1 3 3 5 11 35 101 7 501 +56 9 16 1 3 5 15 29 5 61 205 301 +57 9 22 1 1 7 13 7 39 127 243 307 +58 9 25 1 3 7 13 29 9 93 187 429 +59 9 44 1 3 3 11 15 35 85 159 223 +60 9 47 1 1 3 1 13 3 111 17 411 +61 9 52 1 1 1 7 31 21 103 175 97 +62 9 55 1 1 1 15 11 21 63 45 29 +63 9 59 1 3 5 3 13 45 53 191 455 +64 9 62 1 3 3 13 11 37 65 45 371 +65 9 67 1 1 1 15 23 9 123 97 497 +66 9 74 1 1 7 7 5 13 33 169 411 +67 9 81 1 1 3 13 29 61 67 1 167 +68 9 82 1 1 7 3 11 21 25 87 507 +69 9 87 1 3 1 9 31 37 3 89 113 +70 9 91 1 1 5 11 5 11 83 85 421 +71 9 94 1 3 5 7 23 9 111 135 337 +72 9 103 1 3 5 15 3 39 81 249 363 +73 9 104 1 1 7 15 9 49 79 103 19 +74 9 109 1 3 1 1 17 31 45 205 381 +75 9 122 1 1 1 1 11 45 89 1 365 +76 9 124 1 1 1 15 7 63 55 185 373 +77 9 137 1 1 1 3 17 19 23 7 265 +78 9 138 1 1 3 15 13 31 53 235 309 +79 9 143 1 3 1 5 1 63 73 155 33 +80 9 145 1 1 1 15 19 57 21 45 203 +81 9 152 1 3 5 9 13 27 55 215 181 +82 9 157 1 1 7 3 11 39 55 219 401 +83 9 167 1 1 1 7 9 13 3 181 395 +84 9 173 1 3 1 15 13 19 23 145 97 +85 9 176 1 1 1 15 23 15 55 3 243 +86 9 181 1 1 3 15 15 5 115 169 415 +87 9 182 1 1 7 15 31 15 119 89 37 +88 9 185 1 1 5 3 25 23 23 133 467 +89 9 191 1 3 5 15 11 7 73 209 331 +90 9 194 1 3 7 11 29 51 119 105 63 +91 9 199 1 1 5 9 19 21 53 211 231 +92 9 218 1 3 5 1 7 23 27 67 445 +93 9 220 1 1 5 15 21 53 117 229 13 +94 9 227 1 3 5 11 19 55 53 13 349 +95 9 229 1 3 1 9 19 25 79 55 355 +96 9 230 1 3 3 5 31 27 105 63 21 +97 9 234 1 3 3 15 13 37 39 13 459 +98 9 236 1 1 1 7 25 61 93 195 441 +99 9 241 1 3 3 3 7 35 55 103 159 +100 9 244 1 1 7 11 7 33 49 113 331 +101 9 253 1 3 1 1 1 31 35 63 465 +102 10 4 1 3 5 1 13 43 83 177 461 747 +103 10 13 1 3 7 3 21 5 19 135 483 181 +104 10 19 1 3 1 9 25 3 37 147 483 743 +105 10 22 1 1 5 3 1 1 101 163 165 957 +106 10 50 1 3 5 1 15 41 117 7 71 357 +107 10 55 1 3 5 9 27 11 55 5 11 863 +108 10 64 1 1 1 1 27 43 51 211 265 403 +109 10 69 1 1 7 3 31 35 61 43 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