sobol.cpp

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/*
 * Sobol sequence direction vectors.
 *
 * This file contains code to create direction vectors for generating sobol
 * sequences in high dimensions. It is adapted from 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, 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.
 */

#include "util_debug.h"
#include "util_types.h"

#include "sobol.h"

CCL_NAMESPACE_BEGIN

#define SOBOL_MAX_NUMBER 32

typedef struct SobolDirectionNumbers {
    uint d, s, a;
    uint m[SOBOL_MAX_NUMBER];
} SobolDirectionNumbers;

static SobolDirectionNumbers SOBOL_NUMBERS[SOBOL_MAX_DIMENSIONS-1] = {
{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}},
{303, 11, 803, {1, 1, 5, 15, 19, 5, 53, 201, 157, 885, 1057}},
{304, 11, 805, {1, 3, 7, 9, 1, 35, 51, 113, 249, 425, 1009}},
{305, 11, 810, {1, 3, 5, 7, 21, 53, 37, 155, 119, 345, 631}},
{306, 11, 815, {1, 3, 5, 7, 15, 31, 109, 69, 503, 595, 1879}},
{307, 11, 824, {1, 3, 3, 1, 25, 35, 65, 131, 403, 705, 503}},
{308, 11, 829, {1, 3, 7, 7, 19, 33, 11, 153, 45, 633, 499}},
{309, 11, 830, {1, 3, 3, 5, 11, 3, 29, 93, 487, 33, 703}},
{310, 11, 832, {1, 1, 3, 15, 21, 53, 107, 179, 387, 927, 1757}},
{311, 11, 841, {1, 1, 3, 7, 21, 45, 51, 147, 175, 317, 361}},
{312, 11, 847, {1, 1, 1, 7, 7, 13, 15, 243, 269, 795, 1965}},
{313, 11, 849, {1, 1, 3, 5, 19, 33, 57, 115, 443, 537, 627}},
{314, 11, 861, {1, 3, 3, 9, 3, 39, 25, 61, 185, 717, 1049}},
{315, 11, 871, {1, 3, 7, 3, 7, 37, 107, 153, 7, 269, 1581}},
{316, 11, 878, {1, 1, 7, 3, 7, 41, 91, 41, 145, 489, 1245}},
{317, 11, 889, {1, 1, 5, 9, 7, 7, 105, 81, 403, 407, 283}},
{318, 11, 892, {1, 1, 7, 9, 27, 55, 29, 77, 193, 963, 949}},
{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}},
{335, 11, 1001, {1, 3, 5, 11, 5, 35, 21, 155, 463, 1005, 1073}},
{336, 11, 1010, {1, 3, 7, 3, 25, 15, 109, 83, 93, 69, 1189}},
{337, 11, 1012, {1, 3, 5, 7, 5, 21, 93, 133, 135, 167, 903}},
{338, 12, 41, {1, 1, 7, 7, 3, 59, 121, 161, 285, 815, 1769, 3705}},
{339, 12, 52, {1, 3, 1, 1, 3, 47, 103, 171, 381, 609, 185, 373}},
{340, 12, 61, {1, 3, 3, 15, 23, 33, 107, 131, 441, 445, 689, 2059}},
{341, 12, 62, {1, 3, 3, 11, 7, 53, 101, 167, 435, 803, 1255, 3781}},
{342, 12, 76, {1, 1, 5, 11, 15, 59, 41, 19, 135, 835, 1263, 505}},
{343, 12, 104, {1, 1, 7, 11, 21, 49, 23, 219, 127, 961, 1065, 385}},
{344, 12, 117, {1, 3, 5, 15, 7, 47, 117, 217, 45, 731, 1639, 733}},
{345, 12, 131, {1, 1, 7, 11, 27, 57, 91, 87, 81, 35, 1269, 1007}},
{346, 12, 143, {1, 1, 3, 11, 15, 37, 53, 219, 193, 937, 1899, 3733}},
{347, 12, 145, {1, 3, 5, 3, 13, 11, 27, 19, 199, 393, 965, 2195}},
{348, 12, 157, {1, 3, 1, 3, 5, 1, 37, 173, 413, 1023, 553, 409}},
{349, 12, 167, {1, 3, 1, 7, 15, 29, 123, 95, 255, 373, 1799, 3841}},
{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}},
{365, 12, 357, {1, 3, 7, 11, 17, 33, 73, 77, 299, 243, 641, 2345}},
{366, 12, 391, {1, 1, 7, 11, 9, 35, 31, 235, 359, 647, 379, 1161}},
{367, 12, 398, {1, 3, 3, 15, 31, 25, 5, 67, 33, 45, 437, 4067}},
{368, 12, 400, {1, 1, 3, 11, 7, 17, 37, 87, 333, 253, 1517, 2921}},
{369, 12, 412, {1, 1, 7, 15, 7, 15, 107, 189, 153, 769, 1521, 3427}},
{370, 12, 415, {1, 3, 5, 13, 5, 61, 113, 37, 293, 393, 113, 43}},
{371, 12, 422, {1, 1, 1, 15, 29, 43, 107, 31, 167, 147, 301, 1021}},
{372, 12, 440, {1, 1, 1, 13, 3, 1, 35, 93, 195, 181, 2027, 1491}},
{373, 12, 460, {1, 3, 3, 3, 13, 33, 77, 199, 153, 221, 1699, 3671}},
{374, 12, 465, {1, 3, 5, 13, 7, 49, 123, 155, 495, 681, 819, 809}},
{375, 12, 468, {1, 3, 5, 15, 27, 61, 117, 189, 183, 887, 617, 4053}},
{376, 12, 515, {1, 1, 1, 7, 31, 59, 125, 235, 389, 369, 447, 1039}},
{377, 12, 536, {1, 3, 5, 1, 5, 39, 115, 89, 249, 377, 431, 3747}},
{378, 12, 539, {1, 1, 1, 5, 7, 47, 59, 157, 77, 445, 699, 3439}},
{379, 12, 551, {1, 1, 3, 5, 11, 21, 19, 75, 11, 599, 1575, 735}},
{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}},
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{490, 13, 79, {1, 1, 5, 9, 5, 15, 105, 123, 479, 289, 1609, 2177, 4629}},
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{517, 13, 248, {1, 3, 1, 3, 11, 35, 119, 123, 81, 979, 1187, 3623, 4293}},
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{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}},
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{548, 13, 458, {1, 3, 3, 3, 9, 19, 113, 13, 137, 165, 25, 2957, 7549}},
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{551, 13, 472, {1, 3, 5, 5, 29, 11, 103, 223, 233, 641, 133, 415, 1297}},
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{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}},
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{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}},
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{668, 13, 1214, {1, 3, 1, 15, 5, 3, 1, 57, 331, 109, 485, 2853, 6831}},
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{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}},
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{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}},
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{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}},
{1025, 13, 3540, {1, 3, 3, 13, 31, 25, 37, 47, 261, 607, 1703, 2603, 417}},
{1026, 13, 3547, {1, 1, 1, 1, 31, 61, 45, 115, 275, 239, 1989, 1897, 4329}},
{1027, 13, 3549, {1, 3, 5, 3, 31, 3, 11, 173, 335, 579, 1193, 2219, 7875}},
{1028, 13, 3560, {1, 1, 7, 9, 29, 45, 13, 67, 399, 177, 1293, 3865, 2225}},
{1029, 13, 3571, {1, 1, 7, 11, 11, 51, 121, 227, 469, 905, 929, 2635, 4165}},
{1030, 13, 3577, {1, 3, 7, 9, 13, 39, 55, 167, 23, 147, 1603, 2083, 4645}},
{1031, 13, 3583, {1, 1, 3, 15, 27, 53, 11, 155, 157, 629, 259, 3009, 4605}},
{1032, 13, 3590, {1, 3, 1, 7, 15, 47, 51, 1, 259, 603, 887, 2833, 6581}},
{1033, 13, 3593, {1, 3, 5, 3, 1, 47, 91, 43, 361, 571, 29, 1453, 4269}},
{1034, 13, 3594, {1, 1, 3, 9, 11, 51, 55, 23, 415, 277, 1423, 3475, 1527}},
{1035, 13, 3599, {1, 1, 3, 11, 29, 49, 101, 75, 299, 709, 805, 4037, 4389}},
{1036, 13, 3601, {1, 1, 7, 3, 23, 1, 37, 51, 379, 771, 1301, 3717, 6673}},
{1037, 13, 3602, {1, 1, 5, 3, 23, 11, 125, 177, 375, 665, 951, 1577, 2603}},
{1038, 13, 3613, {1, 1, 1, 1, 1, 5, 71, 255, 21, 459, 467, 2083, 5415}},
{1039, 13, 3623, {1, 1, 5, 13, 23, 29, 109, 157, 363, 971, 549, 647, 1177}},
{1040, 13, 3630, {1, 1, 3, 9, 7, 15, 101, 3, 365, 213, 745, 1155, 6099}},
{1041, 13, 3638, {1, 3, 5, 15, 15, 19, 47, 179, 303, 521, 1279, 219, 2415}},
{1042, 13, 3649, {1, 3, 3, 13, 27, 11, 83, 165, 369, 989, 261, 3933, 4809}},
{1043, 13, 3655, {1, 1, 3, 11, 31, 59, 1, 185, 53, 703, 1471, 2935, 1107}},
{1044, 13, 3662, {1, 3, 3, 7, 25, 3, 81, 27, 93, 521, 433, 2859, 5861}},
{1045, 13, 3667, {1, 3, 3, 11, 29, 15, 49, 167, 315, 927, 543, 3473, 4307}},
{1046, 13, 3669, {1, 3, 1, 3, 29, 33, 53, 15, 183, 691, 703, 1311, 3393}},
{1047, 13, 3676, {1, 3, 5, 13, 23, 49, 3, 11, 1, 357, 1407, 415, 7211}},
{1048, 13, 3683, {1, 3, 7, 15, 1, 25, 91, 113, 323, 371, 189, 925, 1181}},
{1049, 13, 3700, {1, 3, 3, 3, 17, 59, 119, 199, 115, 223, 877, 2193, 193}},
{1050, 13, 3709, {1, 1, 1, 5, 5, 35, 31, 59, 437, 411, 37, 2405, 3797}},
{1051, 13, 3710, {1, 3, 1, 13, 9, 37, 1, 241, 59, 157, 1785, 1223, 563}},
{1052, 13, 3713, {1, 3, 5, 13, 3, 21, 25, 95, 15, 745, 85, 701, 5361}},
{1053, 13, 3723, {1, 3, 7, 1, 31, 33, 111, 195, 35, 913, 2013, 2951, 6611}},
{1054, 13, 3725, {1, 3, 5, 1, 19, 3, 75, 119, 111, 409, 951, 1457, 4957}},
{1055, 13, 3728, {1, 3, 1, 15, 19, 59, 3, 155, 237, 657, 1967, 3323, 6235}},
{1056, 13, 3734, {1, 1, 5, 1, 3, 19, 45, 105, 377, 881, 167, 2255, 4483}},
{1057, 13, 3737, {1, 1, 7, 7, 13, 13, 99, 89, 201, 279, 161, 2483, 6001}},
{1058, 13, 3738, {1, 1, 7, 3, 13, 17, 97, 129, 137, 377, 1519, 183, 3725}},
{1059, 13, 3744, {1, 1, 7, 9, 9, 5, 45, 135, 115, 181, 1685, 3505, 4387}},
{1060, 13, 3750, {1, 1, 1, 1, 19, 35, 69, 113, 305, 419, 949, 2969, 247}},
{1061, 13, 3762, {1, 1, 5, 13, 23, 61, 13, 139, 501, 811, 67, 1501, 6493}},
{1062, 13, 3764, {1, 1, 3, 13, 15, 41, 27, 217, 293, 13, 145, 2631, 6991}},
{1063, 13, 3774, {1, 3, 3, 13, 15, 37, 71, 123, 285, 49, 627, 1283, 5993}},
{1064, 13, 3776, {1, 3, 3, 11, 9, 25, 11, 1, 203, 353, 1347, 1999, 2799}},
{1065, 13, 3786, {1, 3, 5, 1, 7, 49, 101, 231, 499, 63, 1977, 2207, 7829}},
{1066, 13, 3800, {1, 1, 7, 1, 17, 15, 115, 139, 381, 943, 623, 4037, 2971}},
{1067, 13, 3803, {1, 1, 3, 5, 13, 55, 23, 87, 139, 795, 1669, 1375, 1185}},
{1068, 13, 3809, {1, 3, 3, 5, 5, 45, 97, 253, 241, 333, 645, 555, 7867}},
{1069, 13, 3816, {1, 3, 5, 1, 1, 1, 89, 27, 407, 509, 1433, 609, 2355}},
{1070, 13, 3821, {1, 3, 7, 1, 27, 29, 5, 157, 495, 811, 1293, 1143, 827}},
{1071, 13, 3827, {1, 1, 3, 3, 25, 49, 127, 111, 191, 3, 845, 1383, 2521}},
{1072, 13, 3829, {1, 1, 5, 7, 5, 51, 101, 155, 237, 461, 831, 3091, 3851}},
{1073, 13, 3836, {1, 3, 7, 1, 29, 35, 105, 91, 285, 705, 131, 395, 6011}},
{1074, 13, 3842, {1, 3, 5, 3, 13, 21, 83, 173, 221, 827, 1775, 1931, 6727}},
{1075, 13, 3844, {1, 1, 3, 5, 3, 25, 95, 115, 205, 569, 1447, 933, 6425}},
{1076, 13, 3847, {1, 1, 7, 9, 31, 3, 17, 175, 145, 447, 1321, 1069, 6527}},
{1077, 13, 3853, {1, 1, 3, 3, 23, 1, 79, 51, 421, 419, 873, 3939, 1801}},
{1078, 13, 3861, {1, 1, 5, 1, 3, 39, 15, 85, 169, 669, 919, 397, 5579}},
{1079, 13, 3871, {1, 3, 5, 1, 21, 61, 87, 217, 251, 619, 1091, 4009, 229}},
{1080, 13, 3872, {1, 1, 1, 11, 23, 55, 85, 121, 363, 867, 315, 447, 3373}},
{1081, 13, 3881, {1, 3, 3, 13, 29, 19, 89, 85, 137, 469, 1873, 2765, 3975}},
{1082, 13, 3890, {1, 3, 7, 13, 19, 63, 61, 77, 67, 361, 11, 1787, 4703}},
{1083, 13, 3892, {1, 1, 3, 11, 7, 15, 127, 105, 179, 857, 1671, 3647, 3389}},
{1084, 13, 3909, {1, 1, 1, 7, 19, 21, 99, 161, 499, 519, 1287, 2973, 479}},
{1085, 13, 3921, {1, 1, 3, 13, 29, 51, 95, 251, 55, 519, 1955, 2881, 5951}},
{1086, 13, 3934, {1, 1, 3, 11, 23, 63, 121, 237, 175, 311, 701, 1539, 2383}},
{1087, 13, 3938, {1, 1, 7, 5, 5, 45, 73, 97, 5, 153, 715, 2037, 3353}},
{1088, 13, 3947, {1, 1, 1, 3, 13, 7, 67, 173, 425, 843, 1497, 2729, 5193}},
{1089, 13, 3950, {1, 1, 7, 1, 23, 3, 119, 11, 77, 141, 1905, 2269, 4269}},
{1090, 13, 3952, {1, 1, 7, 15, 1, 23, 79, 251, 439, 603, 405, 2449, 6383}},
{1091, 13, 3964, {1, 3, 7, 11, 29, 27, 47, 255, 47, 661, 1967, 1007, 3689}},
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{1093, 13, 3980, {1, 3, 1, 9, 11, 33, 27, 193, 207, 423, 1311, 1369, 7307}},
{1094, 13, 3983, {1, 1, 3, 11, 9, 29, 83, 17, 497, 493, 329, 3141, 5935}},
{1095, 13, 3986, {1, 3, 1, 5, 31, 51, 29, 171, 51, 493, 1621, 3501, 4091}},
{1096, 13, 3995, {1, 1, 5, 9, 21, 43, 105, 207, 245, 363, 1191, 699, 1139}},
{1097, 13, 3998, {1, 1, 3, 11, 19, 5, 81, 119, 247, 169, 1337, 45, 6565}},
{1098, 13, 4001, {1, 3, 1, 11, 3, 51, 3, 101, 159, 11, 253, 299, 5043}},
{1099, 13, 4002, {1, 3, 1, 5, 11, 53, 85, 39, 57, 645, 2007, 1039, 3627}},
{1100, 13, 4004, {1, 3, 5, 3, 17, 61, 97, 165, 415, 357, 283, 601, 5505}},
{1101, 13, 4008, {1, 3, 7, 3, 9, 51, 49, 85, 3, 227, 137, 309, 243}},
{1102, 13, 4011, {1, 1, 5, 3, 11, 59, 11, 131, 409, 703, 455, 123, 6727}},
{1103, 13, 4016, {1, 3, 7, 9, 25, 49, 21, 171, 287, 379, 667, 313, 713}},
{1104, 13, 4033, {1, 1, 3, 9, 7, 35, 47, 3, 367, 581, 1627, 1665, 3905}},
{1105, 13, 4036, {1, 3, 1, 1, 29, 57, 35, 55, 255, 653, 823, 2197, 6179}},
{1106, 13, 4040, {1, 3, 7, 15, 17, 15, 117, 83, 359, 163, 115, 2999, 5373}},
{1107, 13, 4053, {1, 1, 5, 3, 21, 61, 35, 97, 71, 687, 207, 2917, 1049}},
{1108, 13, 4058, {1, 1, 1, 15, 13, 15, 125, 81, 263, 661, 417, 3243, 1669}},
{1109, 13, 4081, {1, 1, 7, 3, 3, 19, 111, 193, 443, 339, 659, 1211, 1557}},
{1110, 13, 4091, {1, 3, 1, 3, 27, 3, 3, 173, 391, 213, 803, 3281, 3207}},
{1111, 13, 4094, {1, 1, 5, 15, 19, 1, 7, 211, 157, 603, 403, 1387, 1583}},
{1112, 14, 21, {1, 3, 5, 13, 17, 53, 125, 13, 339, 723, 521, 413, 5801, 10451}},
{1113, 14, 28, {1, 1, 3, 13, 29, 9, 99, 77, 141, 609, 1533, 983, 2039, 51}},
{1114, 14, 41, {1, 1, 3, 11, 21, 55, 5, 51, 423, 309, 525, 3715, 3025, 15055}},
{1115, 14, 47, {1, 1, 3, 7, 9, 21, 77, 171, 239, 341, 1653, 1093, 2273, 10723}},
{1116, 14, 61, {1, 1, 1, 15, 31, 15, 23, 35, 317, 869, 1917, 1415, 4313, 3687}},
{1117, 14, 84, {1, 1, 1, 5, 21, 25, 99, 167, 439, 453, 473, 431, 6665, 4989}},
{1118, 14, 87, {1, 1, 7, 9, 31, 47, 81, 83, 345, 43, 1363, 1885, 3155, 3185}},
{1119, 14, 93, {1, 3, 7, 1, 31, 17, 61, 185, 341, 129, 547, 717, 2071, 9991}},
{1120, 14, 94, {1, 3, 1, 13, 23, 61, 77, 217, 455, 77, 1263, 1601, 3501, 14953}},
{1121, 14, 103, {1, 1, 7, 7, 19, 19, 1, 229, 431, 943, 1069, 1949, 1289, 15729}},
{1122, 14, 117, {1, 1, 3, 5, 1, 35, 97, 251, 487, 459, 1265, 1739, 165, 10365}},
{1123, 14, 121, {1, 3, 5, 3, 11, 25, 79, 175, 383, 545, 187, 197, 4329, 3363}},
{1124, 14, 134, {1, 1, 3, 3, 29, 9, 63, 55, 175, 277, 431, 2549, 2629, 6409}},
{1125, 14, 137, {1, 1, 3, 15, 17, 21, 79, 139, 99, 135, 1763, 1805, 3471, 5439}},
{1126, 14, 157, {1, 1, 3, 9, 9, 15, 35, 119, 289, 835, 769, 3843, 4119, 4421}},
{1127, 14, 161, {1, 1, 1, 5, 19, 19, 67, 199, 307, 815, 1367, 1231, 3927, 6593}},
{1128, 14, 205, {1, 1, 3, 1, 29, 51, 121, 209, 431, 47, 1115, 907, 2535, 9755}},
{1129, 14, 206, {1, 1, 3, 5, 17, 1, 5, 119, 121, 223, 1719, 1291, 3947, 15891}},
{1130, 14, 211, {1, 3, 1, 15, 29, 25, 3, 131, 373, 307, 645, 3513, 1289, 1987}},
{1131, 14, 214, {1, 3, 3, 11, 29, 45, 105, 179, 331, 465, 891, 1315, 403, 3057}},
{1132, 14, 218, {1, 1, 5, 13, 17, 59, 77, 127, 485, 855, 1147, 3093, 891, 9869}},
{1133, 14, 234, {1, 1, 1, 7, 23, 27, 31, 203, 285, 463, 827, 685, 1349, 15051}},
{1134, 14, 236, {1, 1, 1, 5, 29, 5, 107, 195, 31, 425, 19, 2865, 3869, 11153}},
{1135, 14, 248, {1, 1, 7, 5, 7, 47, 1, 73, 307, 347, 393, 2205, 7709, 15121}},
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{1137, 14, 299, {1, 1, 1, 1, 31, 63, 21, 253, 307, 281, 859, 3319, 6721, 2891}},
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{1141, 14, 334, {1, 3, 3, 13, 17, 53, 121, 201, 269, 983, 215, 3187, 7121, 6111}},
{1142, 14, 355, {1, 3, 5, 15, 15, 5, 13, 143, 3, 313, 1677, 1093, 3295, 3387}},
{1143, 14, 357, {1, 1, 3, 13, 3, 23, 73, 17, 257, 965, 239, 1271, 2803, 7327}},
{1144, 14, 358, {1, 3, 5, 13, 9, 57, 115, 37, 41, 467, 135, 1403, 3811, 4741}},
{1145, 14, 369, {1, 3, 7, 15, 9, 33, 39, 203, 351, 367, 1355, 1403, 3685, 4757}},
{1146, 14, 372, {1, 3, 5, 11, 31, 3, 113, 123, 203, 421, 1821, 3151, 2375, 4419}},
{1147, 14, 375, {1, 1, 1, 7, 21, 63, 99, 23, 133, 79, 991, 1755, 4989, 4709}},
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{1150, 14, 415, {1, 3, 3, 5, 19, 1, 33, 89, 437, 213, 1933, 1741, 2603, 5625}},
{1151, 14, 446, {1, 3, 1, 3, 15, 15, 25, 139, 73, 335, 237, 2461, 3101, 14951}},
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{1154, 14, 471, {1, 3, 7, 9, 15, 21, 101, 25, 11, 625, 1555, 675, 3893, 5805}},
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{1160, 14, 569, {1, 3, 5, 7, 5, 33, 67, 199, 425, 189, 1691, 3099, 815, 1677}},
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{1166, 14, 661, {1, 1, 5, 15, 3, 63, 85, 193, 381, 165, 175, 3247, 2501, 4209}},
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{1279, 14, 1846, {1, 1, 7, 11, 3, 27, 39, 97, 339, 217, 1409, 1569, 4761, 1567}},
{1280, 14, 1857, {1, 1, 5, 15, 11, 53, 87, 213, 297, 923, 393, 717, 3297, 16123}},
{1281, 14, 1869, {1, 1, 1, 11, 27, 41, 121, 49, 225, 379, 1305, 319, 2461, 5445}},
{1282, 14, 1897, {1, 1, 5, 5, 25, 3, 121, 23, 47, 843, 1679, 1427, 6393, 4199}},
{1283, 14, 1906, {1, 1, 5, 13, 17, 3, 17, 25, 161, 487, 121, 361, 1375, 10745}},
{1284, 14, 1908, {1, 1, 7, 3, 3, 37, 7, 245, 107, 107, 745, 2415, 2131, 11419}},
{1285, 14, 1911, {1, 1, 5, 3, 3, 23, 67, 91, 281, 387, 465, 905, 883, 9775}},
{1286, 14, 1934, {1, 3, 7, 15, 25, 55, 123, 49, 23, 983, 1903, 2589, 2073, 7823}},
{1287, 14, 1962, {1, 1, 5, 11, 25, 17, 63, 229, 267, 175, 1759, 1947, 479, 11089}},
{1288, 14, 1967, {1, 3, 7, 3, 11, 37, 83, 95, 415, 1003, 1175, 2361, 2117, 9809}},
{1289, 14, 1972, {1, 3, 1, 9, 5, 39, 51, 129, 249, 161, 1981, 2755, 8057, 13641}},
{1290, 14, 1975, {1, 1, 7, 1, 15, 47, 9, 197, 199, 549, 1091, 2853, 2331, 4535}},
{1291, 14, 1999, {1, 3, 3, 13, 15, 21, 23, 111, 463, 719, 1667, 377, 5039, 10723}},
{1292, 14, 2004, {1, 1, 3, 7, 23, 47, 39, 47, 307, 949, 1651, 2525, 5835, 1425}},
{1293, 14, 2011, {1, 3, 3, 9, 23, 47, 111, 39, 251, 1001, 179, 3985, 535, 15435}},
{1294, 14, 2013, {1, 1, 3, 13, 5, 45, 51, 123, 205, 651, 1583, 1691, 1631, 11975}},
{1295, 14, 2037, {1, 1, 7, 9, 1, 29, 59, 27, 389, 497, 1459, 1633, 521, 14037}},
{1296, 14, 2051, {1, 1, 3, 3, 3, 23, 35, 247, 371, 729, 931, 681, 1777, 8353}},
{1297, 14, 2063, {1, 3, 3, 1, 19, 15, 17, 191, 495, 643, 319, 37, 5691, 7049}},
{1298, 14, 2066, {1, 3, 5, 11, 5, 31, 123, 243, 335, 573, 113, 209, 4825, 7783}},
{1299, 14, 2094, {1, 3, 7, 7, 29, 19, 25, 191, 89, 515, 55, 3013, 4523, 12913}},
{1300, 14, 2128, {1, 1, 3, 3, 15, 3, 35, 37, 339, 7, 697, 359, 4553, 1431}},
{1301, 14, 2154, {1, 3, 1, 1, 9, 15, 33, 77, 161, 13, 255, 1187, 6587, 11715}},
{1302, 14, 2164, {1, 3, 7, 7, 25, 57, 61, 171, 231, 43, 1219, 903, 5623, 4781}},
{1303, 14, 2198, {1, 1, 5, 15, 29, 47, 117, 23, 213, 907, 1423, 369, 4529, 9651}},
{1304, 14, 2217, {1, 1, 5, 7, 15, 55, 105, 249, 401, 37, 1885, 3779, 3441, 9057}},
{1305, 14, 2220, {1, 1, 5, 3, 3, 27, 49, 89, 335, 561, 1235, 3251, 2731, 12711}},
{1306, 14, 2223, {1, 1, 1, 15, 29, 49, 37, 173, 25, 743, 1321, 821, 5899, 9213}},
{1307, 14, 2238, {1, 1, 7, 3, 1, 41, 61, 209, 275, 925, 521, 3029, 1569, 9277}},
{1308, 14, 2245, {1, 3, 5, 13, 17, 1, 11, 171, 441, 119, 1589, 299, 157, 11439}},
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{1310, 14, 2258, {1, 3, 7, 1, 17, 39, 49, 201, 49, 803, 2003, 1193, 7415, 13847}},
{1311, 14, 2264, {1, 1, 5, 5, 17, 49, 39, 19, 311, 801, 1441, 3263, 7973, 14181}},
{1312, 14, 2280, {1, 1, 3, 9, 9, 27, 59, 89, 81, 473, 1369, 3121, 7929, 10905}},
{1313, 14, 2285, {1, 3, 3, 5, 17, 35, 35, 239, 379, 431, 501, 3561, 2059, 9679}},
{1314, 14, 2293, {1, 3, 5, 15, 25, 29, 113, 179, 269, 891, 301, 2017, 7513, 9379}},
{1315, 14, 2294, {1, 3, 1, 11, 17, 35, 49, 149, 135, 661, 1691, 3169, 3765, 9003}},
{1316, 14, 2298, {1, 3, 7, 15, 5, 21, 53, 241, 475, 271, 683, 2351, 2181, 6333}},
{1317, 14, 2303, {1, 1, 7, 13, 25, 33, 71, 153, 221, 507, 2017, 2401, 7545, 8489}},
{1318, 14, 2306, {1, 1, 7, 5, 1, 49, 87, 1, 179, 331, 1597, 3713, 809, 11109}},
{1319, 14, 2311, {1, 3, 1, 5, 5, 61, 93, 39, 479, 977, 1099, 1291, 7049, 2797}},
{1320, 14, 2326, {1, 3, 1, 13, 19, 41, 57, 77, 5, 117, 125, 115, 3969, 1345}},
{1321, 14, 2354, {1, 1, 1, 9, 15, 9, 57, 7, 219, 41, 767, 23, 5771, 14175}},
{1322, 14, 2373, {1, 3, 7, 9, 17, 61, 1, 59, 227, 349, 63, 189, 3871, 7919}},
{1323, 14, 2380, {1, 3, 5, 5, 9, 29, 33, 203, 413, 701, 1129, 2103, 1889, 8377}},
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{1325, 14, 2392, {1, 1, 3, 1, 31, 41, 83, 91, 113, 195, 1121, 2665, 6815, 1189}},
{1326, 14, 2401, {1, 1, 1, 13, 3, 59, 13, 123, 95, 103, 1689, 2809, 5049, 4055}},
{1327, 14, 2402, {1, 1, 1, 15, 21, 41, 11, 167, 375, 589, 207, 1631, 1597, 8091}},
{1328, 14, 2408, {1, 3, 5, 5, 1, 33, 57, 89, 157, 921, 1353, 2777, 461, 14567}},
{1329, 14, 2419, {1, 1, 5, 1, 25, 5, 51, 247, 1, 577, 463, 3741, 303, 16059}},
{1330, 14, 2450, {1, 1, 7, 5, 13, 7, 17, 87, 51, 987, 835, 93, 5203, 3973}},
{1331, 14, 2452, {1, 1, 7, 7, 3, 27, 7, 1, 135, 171, 231, 3349, 4459, 2925}},
{1332, 14, 2477, {1, 1, 5, 5, 9, 51, 71, 153, 115, 315, 265, 2207, 4127, 12631}},
{1333, 14, 2509, {1, 1, 3, 15, 23, 59, 35, 121, 425, 921, 1255, 2123, 5811, 15937}},
{1334, 14, 2510, {1, 3, 7, 7, 11, 21, 45, 57, 269, 395, 555, 783, 6677, 2889}},
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{1343, 14, 2586, {1, 1, 5, 15, 31, 37, 25, 135, 135, 897, 33, 3713, 7663, 8079}},
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{1370, 14, 2840, {1, 1, 3, 7, 23, 35, 79, 49, 227, 205, 1523, 3873, 4843, 10505}},
{1371, 14, 2893, {1, 1, 1, 1, 17, 43, 121, 95, 205, 35, 189, 2061, 1693, 13273}},
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{1378, 14, 2939, {1, 3, 5, 5, 9, 61, 43, 97, 453, 917, 945, 2143, 5473, 5611}},
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{1384, 14, 3006, {1, 3, 7, 7, 3, 37, 15, 161, 129, 169, 555, 3605, 4287, 15831}},
{1385, 14, 3017, {1, 3, 7, 15, 15, 23, 81, 163, 257, 791, 505, 1903, 2703, 11919}},
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{1402, 14, 3187, {1, 1, 1, 9, 9, 49, 3, 51, 141, 33, 301, 2167, 587, 15067}},
{1403, 14, 3189, {1, 1, 1, 11, 7, 55, 99, 81, 191, 553, 953, 3753, 6731, 1093}},
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{1407, 14, 3271, {1, 3, 7, 1, 31, 31, 45, 115, 417, 427, 745, 4087, 953, 1119}},
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{1427, 14, 3436, {1, 3, 3, 7, 1, 51, 35, 111, 137, 879, 1221, 225, 4285, 2287}},
{1428, 14, 3463, {1, 1, 7, 9, 23, 17, 75, 245, 409, 163, 395, 3731, 7111, 6845}},
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{1444, 14, 3620, {1, 3, 5, 5, 1, 39, 65, 71, 189, 389, 1437, 1055, 6439, 3989}},
{1445, 14, 3630, {1, 1, 3, 3, 19, 15, 93, 3, 339, 165, 1675, 3953, 2145, 12113}},
{1446, 14, 3644, {1, 1, 3, 13, 13, 45, 5, 175, 211, 993, 705, 2761, 3023, 13633}},
{1447, 14, 3649, {1, 1, 3, 1, 19, 39, 121, 29, 287, 87, 281, 3491, 7107, 13007}},
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{1449, 14, 3679, {1, 1, 5, 5, 5, 43, 25, 107, 453, 955, 115, 57, 4589, 14573}},
{1450, 14, 3680, {1, 1, 3, 5, 21, 45, 103, 99, 183, 987, 1207, 1697, 8033, 13703}},
{1451, 14, 3685, {1, 1, 5, 7, 11, 23, 9, 17, 261, 749, 1957, 935, 6283, 8625}},
{1452, 14, 3686, {1, 1, 1, 9, 9, 51, 69, 225, 265, 323, 1161, 2993, 7305, 2249}},
{1453, 14, 3698, {1, 3, 1, 9, 23, 19, 57, 205, 503, 489, 1499, 3277, 817, 11931}},
{1454, 14, 3714, {1, 3, 3, 5, 1, 7, 49, 1, 313, 123, 643, 2027, 1469, 3585}},
{1455, 14, 3726, {1, 3, 7, 11, 27, 47, 95, 111, 27, 213, 465, 3693, 3661, 7531}},
{1456, 14, 3737, {1, 1, 7, 9, 3, 37, 115, 189, 31, 613, 1393, 1229, 4767, 12425}},
{1457, 14, 3767, {1, 1, 3, 3, 25, 17, 99, 47, 161, 931, 959, 1293, 7095, 8325}},
{1458, 14, 3782, {1, 1, 1, 7, 23, 9, 11, 51, 205, 419, 479, 1497, 2493, 13921}},
{1459, 14, 3786, {1, 3, 1, 9, 17, 29, 51, 79, 159, 435, 477, 413, 3815, 5589}},
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{1462, 14, 3805, {1, 3, 3, 1, 27, 37, 91, 17, 123, 597, 1749, 3449, 6503, 11043}},
{1463, 14, 3815, {1, 3, 7, 7, 23, 41, 19, 245, 109, 569, 547, 1917, 7943, 2697}},
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{1835, 14, 7868, {1, 1, 3, 3, 13, 19, 125, 49, 333, 387, 339, 1815, 4503, 7359}},
{1836, 14, 7880, {1, 1, 3, 13, 19, 19, 105, 225, 151, 27, 1251, 885, 4815, 7863}},
{1837, 14, 7883, {1, 1, 1, 5, 7, 59, 17, 145, 77, 117, 1355, 1429, 2301, 16177}},
{1838, 14, 7891, {1, 3, 3, 13, 5, 31, 119, 167, 459, 727, 1799, 2537, 695, 13637}},
{1839, 14, 7897, {1, 3, 3, 3, 27, 51, 107, 85, 267, 57, 1279, 823, 6247, 3603}},
{1840, 14, 7907, {1, 1, 7, 15, 29, 17, 67, 197, 215, 465, 109, 3461, 5269, 15287}},
{1841, 14, 7910, {1, 1, 3, 5, 11, 15, 123, 53, 293, 797, 1105, 1777, 6509, 217}},
{1842, 14, 7924, {1, 3, 3, 13, 3, 5, 109, 53, 203, 693, 871, 135, 369, 11149}},
{1843, 14, 7933, {1, 3, 5, 15, 17, 43, 81, 235, 119, 817, 1777, 261, 8049, 4251}},
{1844, 14, 7934, {1, 1, 3, 7, 7, 13, 87, 99, 481, 931, 1507, 651, 5267, 8281}},
{1845, 14, 7942, {1, 3, 1, 13, 27, 43, 77, 225, 341, 163, 933, 429, 4943, 7781}},
{1846, 14, 7948, {1, 1, 7, 1, 1, 49, 85, 211, 449, 479, 1395, 787, 5653, 14891}},
{1847, 14, 7959, {1, 1, 5, 9, 25, 13, 49, 85, 125, 85, 1281, 3365, 4305, 11791}},
{1848, 14, 7984, {1, 3, 1, 13, 3, 31, 117, 39, 43, 151, 663, 669, 1571, 5207}},
{1849, 14, 7994, {1, 3, 7, 15, 17, 7, 79, 163, 37, 841, 1799, 1787, 4501, 3785}},
{1850, 14, 7999, {1, 1, 3, 9, 1, 23, 67, 191, 449, 931, 1521, 2705, 887, 7037}},
{1851, 14, 8014, {1, 1, 1, 1, 5, 13, 55, 161, 419, 577, 1703, 2589, 2651, 2873}},
{1852, 14, 8021, {1, 3, 3, 3, 5, 19, 37, 169, 69, 1003, 1755, 3101, 1469, 8583}},
{1853, 14, 8041, {1, 1, 1, 1, 11, 33, 105, 79, 283, 91, 299, 835, 3193, 5593}},
{1854, 14, 8049, {1, 3, 3, 13, 25, 21, 81, 213, 465, 475, 331, 457, 61, 9511}},
{1855, 14, 8050, {1, 1, 3, 11, 1, 11, 77, 95, 455, 949, 1999, 1833, 1275, 5631}},
{1856, 14, 8068, {1, 1, 1, 1, 15, 25, 51, 137, 275, 451, 1179, 3595, 5177, 7105}},
{1857, 14, 8080, {1, 3, 3, 3, 3, 59, 79, 143, 393, 583, 349, 3039, 7079, 14245}},
{1858, 14, 8095, {1, 1, 7, 9, 21, 11, 123, 105, 53, 297, 803, 4025, 5421, 14527}},
{1859, 14, 8102, {1, 3, 7, 11, 21, 15, 103, 109, 311, 321, 1217, 2777, 5457, 1823}},
{1860, 14, 8106, {1, 3, 5, 11, 19, 31, 79, 89, 295, 413, 817, 499, 3699, 14411}},
{1861, 14, 8120, {1, 1, 1, 5, 11, 3, 81, 13, 315, 841, 1543, 411, 6883, 6347}},
{1862, 14, 8133, {1, 3, 3, 11, 23, 43, 23, 131, 17, 517, 995, 2687, 7443, 15085}},
{1863, 14, 8134, {1, 1, 1, 1, 11, 57, 73, 9, 123, 905, 1763, 1789, 3701, 7131}},
{1864, 14, 8143, {1, 1, 3, 5, 9, 53, 99, 229, 43, 207, 625, 1583, 6727, 15249}},
{1865, 14, 8162, {1, 1, 7, 7, 17, 39, 91, 1, 297, 711, 225, 513, 7391, 291}},
{1866, 14, 8168, {1, 1, 7, 11, 7, 55, 111, 129, 423, 521, 1807, 3015, 1449, 12321}},
{1867, 14, 8179, {1, 3, 7, 3, 13, 9, 125, 187, 11, 485, 647, 275, 3495, 11989}},
{1868, 15, 1, {1, 1, 3, 11, 11, 25, 49, 33, 361, 105, 271, 3841, 4837, 2437, 30181}},
{1869, 15, 8, {1, 3, 5, 1, 27, 15, 119, 35, 159, 273, 1489, 3157, 5433, 3337, 26859}},
{1870, 15, 11, {1, 3, 5, 13, 23, 31, 97, 145, 41, 605, 1455, 59, 5389, 5527, 14447}},
{1871, 15, 22, {1, 1, 7, 9, 7, 41, 61, 193, 353, 879, 1805, 581, 5447, 11177, 7331}},
{1872, 15, 26, {1, 1, 7, 11, 29, 19, 55, 207, 361, 759, 63, 2255, 2119, 14671, 21783}},
{1873, 15, 47, {1, 3, 1, 13, 17, 7, 73, 179, 103, 23, 917, 1205, 4925, 1691, 5419}},
{1874, 15, 59, {1, 3, 5, 3, 15, 3, 9, 109, 227, 861, 867, 3529, 1535, 489, 22873}},
{1875, 15, 64, {1, 3, 3, 9, 15, 15, 95, 193, 385, 997, 1525, 1865, 1425, 4079, 14771}},
{1876, 15, 67, {1, 1, 3, 5, 5, 29, 49, 171, 171, 623, 1167, 3743, 1809, 12009, 7043}},
{1877, 15, 73, {1, 3, 7, 5, 23, 11, 87, 183, 299, 555, 1857, 489, 3505, 9161, 28763}},
{1878, 15, 82, {1, 3, 5, 9, 19, 21, 85, 127, 337, 439, 1183, 1891, 1877, 4373, 10451}},
{1879, 15, 97, {1, 3, 7, 13, 27, 17, 29, 83, 463, 385, 1167, 3453, 4523, 4759, 9321}},
{1880, 15, 103, {1, 1, 3, 7, 21, 59, 65, 83, 177, 763, 317, 2913, 7527, 5967, 17167}},
{1881, 15, 110, {1, 1, 7, 15, 13, 27, 49, 35, 253, 101, 1699, 355, 2181, 10859, 24221}},
{1882, 15, 115, {1, 1, 5, 1, 17, 17, 81, 91, 349, 655, 1373, 2225, 945, 899, 31801}},
{1883, 15, 122, {1, 3, 7, 11, 5, 1, 81, 53, 215, 587, 167, 4045, 5671, 5597, 13529}},
{1884, 15, 128, {1, 3, 5, 15, 1, 9, 59, 235, 315, 195, 909, 2237, 505, 10415, 28145}},
{1885, 15, 138, {1, 1, 1, 3, 9, 31, 41, 43, 275, 921, 25, 671, 5737, 11241, 4193}},
{1886, 15, 146, {1, 3, 3, 13, 29, 13, 95, 213, 317, 995, 1489, 3779, 3043, 8569, 28823}},
{1887, 15, 171, {1, 1, 7, 5, 9, 49, 125, 241, 87, 153, 1673, 3849, 7253, 1715, 11627}},
{1888, 15, 174, {1, 1, 3, 9, 27, 27, 19, 223, 63, 463, 1095, 1395, 6643, 11589, 2145}},
{1889, 15, 176, {1, 1, 3, 15, 21, 17, 45, 23, 357, 11, 1307, 1791, 2481, 2123, 24341}},
{1890, 15, 182, {1, 3, 5, 15, 31, 53, 117, 51, 433, 193, 1239, 3329, 2403, 12745, 32219}},
{1891, 15, 194, {1, 1, 5, 9, 7, 27, 9, 115, 417, 579, 83, 173, 4717, 15665, 27463}},
{1892, 15, 208, {1, 3, 5, 7, 9, 9, 31, 35, 249, 567, 331, 905, 5101, 14817, 14255}},
{1893, 15, 211, {1, 3, 7, 3, 1, 61, 29, 129, 119, 421, 1597, 2987, 3041, 7629, 23451}},
{1894, 15, 220, {1, 1, 7, 9, 13, 1, 99, 105, 107, 509, 989, 2259, 1009, 6827, 8903}},
{1895, 15, 229, {1, 3, 5, 15, 11, 29, 85, 29, 265, 105, 2035, 3349, 3543, 13903, 10213}},
{1896, 15, 230, {1, 3, 1, 1, 25, 19, 53, 139, 467, 485, 491, 3067, 7353, 13861, 25819}},
{1897, 15, 239, {1, 1, 5, 3, 3, 43, 41, 185, 45, 463, 351, 2823, 2519, 6705, 11395}},
{1898, 15, 254, {1, 3, 7, 13, 11, 15, 87, 221, 427, 673, 1631, 599, 3259, 10691, 31283}},
{1899, 15, 265, {1, 3, 5, 11, 9, 9, 15, 49, 275, 335, 1613, 3587, 5309, 14849, 26475}},
{1900, 15, 285, {1, 3, 7, 9, 29, 13, 79, 225, 381, 781, 1411, 2761, 7157, 14983, 19717}},
{1901, 15, 290, {1, 1, 7, 11, 29, 25, 117, 183, 101, 651, 653, 3157, 445, 14389, 23293}},
{1902, 15, 319, {1, 1, 1, 3, 5, 33, 73, 155, 473, 387, 591, 2045, 5965, 16299, 31499}},
{1903, 15, 324, {1, 3, 1, 7, 11, 33, 29, 21, 491, 937, 729, 4075, 975, 2461, 18991}},
{1904, 15, 327, {1, 3, 7, 15, 29, 39, 105, 111, 173, 943, 69, 295, 8175, 13037, 26131}},
{1905, 15, 333, {1, 1, 5, 15, 7, 5, 97, 147, 105, 887, 443, 2595, 5889, 10753, 1619}},
{1906, 15, 357, {1, 3, 3, 15, 11, 45, 87, 207, 353, 909, 1847, 323, 2283, 12885, 16415}},
{1907, 15, 364, {1, 1, 5, 3, 19, 33, 43, 79, 115, 653, 359, 2873, 4609, 12439, 6339}},
{1908, 15, 395, {1, 3, 7, 9, 17, 61, 49, 227, 291, 69, 1753, 3899, 483, 3187, 29041}},
{1909, 15, 397, {1, 3, 5, 3, 25, 35, 61, 211, 393, 199, 691, 1779, 6295, 13371, 15817}},
{1910, 15, 405, {1, 3, 7, 5, 7, 23, 37, 91, 245, 915, 579, 867, 6193, 1063, 17363}},
{1911, 15, 409, {1, 3, 7, 7, 23, 51, 41, 63, 375, 3, 159, 1889, 4419, 1687, 17977}},
{1912, 15, 419, {1, 1, 1, 7, 13, 11, 53, 43, 317, 325, 1749, 2423, 4123, 8595, 20773}},
{1913, 15, 422, {1, 1, 7, 7, 9, 9, 61, 113, 437, 213, 1407, 645, 4345, 807, 30411}},
{1914, 15, 431, {1, 3, 3, 11, 17, 39, 17, 113, 391, 385, 581, 2023, 7449, 10153, 22033}},
{1915, 15, 433, {1, 1, 3, 5, 29, 31, 101, 215, 379, 377, 1113, 2855, 7147, 14377, 25515}},
{1916, 15, 436, {1, 3, 5, 5, 13, 3, 121, 125, 227, 969, 11, 1115, 5657, 9209, 6117}},
{1917, 15, 440, {1, 3, 7, 15, 29, 17, 33, 123, 317, 301, 749, 1365, 5619, 605, 1613}},
{1918, 15, 453, {1, 3, 1, 15, 7, 53, 125, 249, 219, 655, 105, 2825, 1649, 12783, 19777}},
{1919, 15, 460, {1, 1, 7, 1, 25, 53, 19, 53, 157, 373, 1855, 495, 5065, 9465, 2313}},
{1920, 15, 471, {1, 3, 5, 13, 3, 57, 57, 161, 431, 415, 1859, 1033, 6349, 1577, 31579}},
{1921, 15, 478, {1, 1, 7, 5, 23, 63, 29, 221, 13, 965, 1997, 2265, 1583, 10491, 9551}},
{1922, 15, 482, {1, 1, 3, 13, 31, 25, 23, 61, 285, 5, 2005, 879, 795, 13299, 19685}},
{1923, 15, 488, {1, 1, 7, 1, 21, 45, 121, 89, 263, 543, 1333, 2711, 219, 10823, 26139}},
{1924, 15, 524, {1, 1, 3, 3, 27, 13, 19, 117, 161, 457, 1541, 295, 4953, 12125, 14503}},
{1925, 15, 529, {1, 3, 5, 3, 7, 63, 13, 247, 439, 681, 977, 2537, 6923, 10323, 7349}},
{1926, 15, 535, {1, 3, 5, 9, 3, 51, 81, 251, 349, 983, 581, 2515, 2281, 2849, 31915}},
{1927, 15, 536, {1, 3, 5, 3, 11, 63, 47, 137, 303, 627, 91, 2269, 7097, 2145, 31059}},
{1928, 15, 539, {1, 1, 3, 15, 13, 17, 53, 27, 133, 13, 117, 1837, 4103, 5843, 29153}},
{1929, 15, 563, {1, 1, 5, 13, 21, 33, 37, 253, 465, 209, 309, 49, 3209, 15677, 14569}},
{1930, 15, 566, {1, 1, 7, 15, 13, 21, 33, 203, 499, 141, 1155, 3893, 1663, 2115, 27459}},
{1931, 15, 572, {1, 3, 5, 11, 21, 9, 39, 157, 257, 273, 1257, 1831, 515, 7969, 20133}},
{1932, 15, 577, {1, 1, 3, 13, 19, 29, 15, 189, 103, 219, 1395, 517, 7425, 6585, 15865}},
{1933, 15, 587, {1, 1, 5, 11, 21, 31, 49, 151, 39, 537, 1783, 3449, 6915, 223, 11587}},
{1934, 15, 592, {1, 3, 3, 11, 7, 63, 69, 31, 27, 911, 1903, 2821, 7977, 12949, 32257}},
{1935, 15, 602, {1, 1, 7, 9, 25, 45, 23, 233, 511, 595, 1383, 1721, 6789, 12055, 21179}},
{1936, 15, 623, {1, 1, 7, 13, 1, 27, 123, 49, 439, 683, 501, 641, 1947, 6111, 25423}},
{1937, 15, 635, {1, 3, 3, 5, 1, 23, 57, 241, 243, 593, 2039, 1617, 2209, 5171, 9675}},
{1938, 15, 638, {1, 1, 1, 7, 5, 19, 83, 55, 481, 125, 177, 1021, 1139, 11403, 23099}},
{1939, 15, 654, {1, 1, 3, 5, 29, 39, 33, 217, 461, 907, 733, 3795, 4811, 12939, 27715}},
{1940, 15, 656, {1, 3, 7, 3, 7, 11, 39, 165, 495, 147, 999, 1827, 817, 603, 9293}},
{1941, 15, 659, {1, 3, 7, 15, 25, 53, 35, 15, 431, 733, 1213, 2907, 8087, 3939, 27363}},
{1942, 15, 665, {1, 3, 7, 13, 13, 9, 33, 27, 485, 183, 455, 3341, 2555, 4985, 8793}},
{1943, 15, 675, {1, 1, 1, 15, 25, 47, 75, 21, 205, 15, 1639, 3067, 1295, 11693, 16903}},
{1944, 15, 677, {1, 1, 1, 15, 3, 31, 93, 57, 43, 185, 251, 1899, 7885, 10829, 3609}},
{1945, 15, 687, {1, 1, 3, 1, 29, 9, 69, 223, 221, 537, 365, 3411, 5771, 15279, 5309}},
{1946, 15, 696, {1, 1, 7, 5, 1, 5, 125, 243, 213, 1003, 1571, 3355, 3981, 8781, 25993}},
{1947, 15, 701, {1, 1, 1, 13, 7, 19, 53, 243, 301, 75, 1183, 2723, 6687, 13, 16581}},
{1948, 15, 704, {1, 3, 1, 13, 17, 51, 91, 239, 437, 191, 1065, 2495, 5755, 3405, 8299}},
{1949, 15, 710, {1, 1, 5, 5, 11, 59, 21, 169, 299, 123, 1845, 2199, 2157, 14461, 10327}},
{1950, 15, 721, {1, 3, 7, 7, 19, 47, 51, 179, 41, 19, 1347, 2325, 8063, 5993, 15653}},
{1951, 15, 728, {1, 1, 1, 9, 25, 27, 7, 133, 223, 533, 719, 353, 7093, 8285, 10375}},
{1952, 15, 738, {1, 3, 5, 15, 31, 5, 67, 39, 441, 495, 977, 3699, 1435, 11385, 14567}},
{1953, 15, 740, {1, 1, 3, 15, 15, 39, 25, 33, 91, 523, 249, 4035, 769, 5181, 9691}},
{1954, 15, 749, {1, 1, 3, 3, 3, 57, 83, 187, 423, 165, 161, 3453, 2241, 981, 8429}},
{1955, 15, 758, {1, 1, 7, 15, 1, 17, 57, 189, 283, 11, 823, 3505, 7025, 11879, 15441}},
{1956, 15, 761, {1, 1, 3, 11, 1, 41, 7, 255, 385, 339, 607, 1405, 1473, 13697, 9491}},
{1957, 15, 772, {1, 1, 7, 15, 5, 9, 91, 99, 211, 233, 51, 2663, 1165, 9283, 18495}},
{1958, 15, 776, {1, 1, 3, 7, 21, 37, 13, 91, 39, 27, 1021, 2813, 5937, 6645, 3403}},
{1959, 15, 782, {1, 3, 1, 1, 29, 29, 5, 69, 399, 665, 1407, 3921, 2653, 11753, 18925}},
{1960, 15, 789, {1, 3, 7, 15, 13, 41, 39, 1, 437, 549, 161, 2315, 5631, 8335, 22661}},
{1961, 15, 810, {1, 1, 3, 1, 7, 17, 115, 61, 69, 955, 475, 3763, 8035, 927, 17893}},
{1962, 15, 812, {1, 3, 1, 13, 21, 59, 81, 145, 463, 145, 1941, 2777, 7453, 14229, 11281}},
{1963, 15, 818, {1, 1, 1, 15, 15, 11, 27, 165, 461, 395, 1645, 3611, 7463, 12379, 26787}},
{1964, 15, 830, {1, 1, 7, 9, 29, 19, 27, 123, 21, 149, 1643, 4001, 7207, 6769, 4647}},
{1965, 15, 832, {1, 1, 1, 11, 13, 9, 103, 139, 185, 587, 591, 1113, 2223, 11667, 32671}},
{1966, 15, 852, {1, 3, 1, 1, 31, 13, 19, 93, 229, 125, 1471, 2369, 3055, 10277, 28563}},
{1967, 15, 855, {1, 3, 7, 5, 7, 53, 99, 175, 161, 851, 617, 4027, 2357, 11199, 1931}},
{1968, 15, 859, {1, 3, 5, 11, 3, 31, 111, 179, 237, 845, 539, 1057, 259, 3417, 26637}},
{1969, 15, 865, {1, 1, 5, 3, 21, 49, 125, 119, 463, 403, 737, 1811, 3941, 13015, 29081}},
{1970, 15, 877, {1, 3, 5, 13, 5, 29, 69, 251, 313, 357, 663, 1097, 3307, 12845, 28495}},
{1971, 15, 895, {1, 3, 3, 5, 29, 17, 89, 15, 411, 409, 2013, 757, 4085, 12521, 11131}},
{1972, 15, 901, {1, 1, 1, 15, 7, 51, 3, 193, 493, 133, 381, 2027, 227, 6635, 12931}},
{1973, 15, 902, {1, 1, 1, 15, 7, 23, 99, 203, 323, 1007, 1465, 2887, 2215, 1787, 22069}},
{1974, 15, 906, {1, 1, 5, 9, 29, 59, 77, 151, 509, 313, 415, 3977, 5431, 8019, 8571}},
{1975, 15, 916, {1, 3, 1, 15, 19, 13, 57, 217, 87, 119, 25, 1149, 5667, 3765, 6959}},
{1976, 15, 920, {1, 3, 7, 13, 19, 31, 119, 3, 457, 117, 905, 361, 1483, 12405, 27005}},
{1977, 15, 949, {1, 3, 5, 11, 15, 35, 61, 77, 119, 51, 1753, 2765, 1091, 10573, 23595}},
{1978, 15, 962, {1, 3, 3, 7, 1, 35, 17, 93, 197, 511, 1253, 3031, 2739, 15127, 15147}},
{1979, 15, 964, {1, 3, 3, 1, 11, 55, 55, 107, 161, 75, 129, 2195, 2023, 4877, 25797}},
{1980, 15, 967, {1, 3, 5, 7, 23, 19, 113, 167, 167, 271, 1303, 125, 5057, 1323, 5165}},
{1981, 15, 981, {1, 1, 5, 3, 21, 31, 11, 119, 215, 483, 1535, 407, 6485, 15401, 30297}},
{1982, 15, 982, {1, 3, 5, 9, 21, 5, 77, 95, 443, 247, 913, 605, 365, 7465, 19707}},
{1983, 15, 985, {1, 3, 1, 7, 17, 59, 9, 35, 391, 767, 1493, 475, 4725, 7529, 31579}},
{1984, 15, 991, {1, 3, 3, 7, 31, 21, 61, 31, 421, 179, 273, 771, 5745, 10575, 32765}},
{1985, 15, 1007, {1, 3, 5, 15, 27, 13, 125, 55, 423, 1021, 497, 3521, 6903, 15111, 8285}},
{1986, 15, 1016, {1, 1, 5, 9, 13, 31, 105, 93, 421, 709, 643, 1079, 1533, 9149, 10799}},
{1987, 15, 1024, {1, 3, 1, 11, 19, 29, 53, 199, 319, 247, 655, 3039, 6411, 12267, 14245}},
{1988, 15, 1051, {1, 3, 1, 11, 9, 57, 5, 91, 469, 149, 259, 329, 5433, 6941, 15093}},
{1989, 15, 1060, {1, 3, 1, 5, 5, 51, 59, 25, 455, 367, 1623, 441, 3155, 11695, 20767}},
{1990, 15, 1070, {1, 3, 7, 7, 11, 49, 113, 95, 91, 389, 605, 1973, 2051, 2315, 22229}},
{1991, 15, 1072, {1, 3, 5, 3, 19, 11, 99, 135, 433, 781, 1473, 885, 1105, 3573, 3739}},
{1992, 15, 1084, {1, 3, 1, 11, 3, 25, 9, 227, 433, 723, 317, 139, 6627, 8067, 28439}},
{1993, 15, 1089, {1, 1, 1, 9, 9, 9, 5, 63, 241, 215, 1991, 2949, 3943, 775, 31511}},
{1994, 15, 1095, {1, 1, 3, 7, 17, 49, 35, 167, 131, 107, 1295, 2465, 4577, 11147, 29833}},
{1995, 15, 1114, {1, 1, 5, 1, 5, 25, 119, 129, 391, 743, 1069, 2957, 349, 6891, 13635}},
{1996, 15, 1123, {1, 3, 1, 7, 9, 31, 63, 253, 215, 51, 1347, 2361, 3125, 13049, 28461}},
{1997, 15, 1132, {1, 1, 7, 9, 3, 31, 21, 163, 255, 47, 259, 535, 5461, 3349, 30649}},
{1998, 15, 1154, {1, 3, 3, 13, 17, 33, 87, 47, 243, 709, 929, 3943, 3107, 3421, 13721}},
{1999, 15, 1156, {1, 3, 5, 11, 25, 61, 61, 173, 397, 735, 2005, 3355, 8121, 11593, 27697}},
{2000, 15, 1163, {1, 3, 5, 15, 17, 43, 63, 231, 275, 311, 1277, 2669, 7307, 2099, 9755}},
{2001, 15, 1171, {1, 3, 5, 3, 25, 43, 71, 191, 9, 121, 1873, 3747, 7491, 14055, 24293}},
{2002, 15, 1202, {1, 3, 5, 13, 17, 35, 113, 113, 385, 941, 39, 2705, 1225, 5167, 1373}},
{2003, 15, 1228, {1, 3, 5, 5, 7, 35, 19, 105, 487, 71, 139, 627, 4187, 3183, 713}},
{2004, 15, 1239, {1, 1, 5, 13, 29, 29, 103, 5, 157, 869, 1675, 423, 6689, 10697, 5303}},
{2005, 15, 1255, {1, 1, 5, 1, 29, 31, 61, 111, 473, 963, 685, 1483, 2383, 8109, 8495}},
{2006, 15, 1256, {1, 1, 5, 3, 19, 13, 95, 113, 217, 59, 1353, 1647, 3617, 3271, 2321}},
{2007, 15, 1262, {1, 3, 5, 7, 25, 35, 59, 131, 309, 445, 415, 93, 1453, 8789, 30201}},
{2008, 15, 1270, {1, 1, 5, 1, 5, 43, 71, 241, 123, 189, 831, 3469, 8093, 6187, 32721}},
{2009, 15, 1279, {1, 3, 7, 5, 25, 31, 123, 171, 319, 379, 889, 2365, 4881, 12225, 16609}},
{2010, 15, 1308, {1, 3, 1, 11, 27, 43, 121, 63, 291, 591, 811, 1995, 4777, 2083, 31385}},
{2011, 15, 1322, {1, 1, 5, 11, 27, 53, 85, 187, 461, 823, 703, 399, 6925, 11517, 28697}},
{2012, 15, 1329, {1, 1, 3, 5, 13, 11, 33, 121, 93, 717, 1275, 3877, 4247, 5845, 26909}},
{2013, 15, 1330, {1, 3, 1, 9, 7, 5, 47, 199, 367, 561, 185, 2855, 5997, 2699, 7581}},
{2014, 15, 1336, {1, 1, 5, 9, 23, 11, 71, 201, 61, 729, 1011, 3529, 663, 1413, 25675}},
{2015, 15, 1341, {1, 3, 7, 13, 27, 21, 11, 127, 281, 487, 1217, 3129, 5541, 3129, 17783}},
{2016, 15, 1347, {1, 1, 5, 9, 1, 29, 85, 193, 213, 743, 1473, 611, 391, 9405, 21137}},
{2017, 15, 1349, {1, 3, 3, 3, 31, 63, 37, 147, 39, 351, 79, 3069, 2441, 8901, 8777}},
{2018, 15, 1359, {1, 1, 7, 7, 25, 49, 55, 47, 441, 343, 1267, 1123, 5917, 14395, 10579}},
{2019, 15, 1367, {1, 1, 7, 1, 13, 55, 55, 123, 103, 773, 125, 2145, 4743, 13347, 2589}},
{2020, 15, 1368, {1, 3, 7, 3, 9, 33, 25, 183, 469, 213, 291, 75, 6725, 6847, 26745}},
{2021, 15, 1390, {1, 3, 3, 7, 15, 43, 7, 79, 171, 21, 1767, 2537, 4285, 12007, 24039}},
{2022, 15, 1413, {1, 3, 7, 13, 9, 61, 125, 23, 227, 879, 215, 1635, 2835, 883, 15939}},
{2023, 15, 1414, {1, 1, 5, 13, 25, 45, 63, 43, 183, 829, 149, 989, 987, 3819, 12181}},
{2024, 15, 1437, {1, 1, 3, 7, 19, 27, 35, 83, 135, 459, 785, 131, 2655, 3329, 3009}},
{2025, 15, 1441, {1, 1, 7, 5, 11, 41, 9, 219, 475, 985, 1329, 3787, 1975, 4679, 8627}},
{2026, 15, 1462, {1, 1, 7, 3, 1, 17, 91, 155, 3, 763, 1879, 233, 215, 2955, 25993}},
{2027, 15, 1465, {1, 1, 1, 11, 25, 11, 23, 227, 453, 775, 1935, 3833, 4583, 269, 705}},
{2028, 15, 1480, {1, 3, 3, 11, 7, 25, 105, 21, 449, 555, 1275, 3475, 5503, 15617, 813}},
{2029, 15, 1486, {1, 3, 7, 13, 31, 37, 25, 255, 233, 663, 1155, 1563, 4775, 7449, 29949}},
{2030, 15, 1504, {1, 1, 3, 1, 23, 51, 51, 137, 63, 809, 349, 2789, 6953, 10605, 18959}},
{2031, 15, 1509, {1, 3, 3, 13, 21, 45, 15, 161, 393, 229, 437, 2967, 4019, 3893, 21305}},
{2032, 15, 1514, {1, 1, 3, 7, 5, 11, 15, 211, 287, 131, 1847, 2569, 7881, 15669, 31037}},
{2033, 15, 1522, {1, 3, 3, 15, 27, 19, 85, 251, 221, 639, 665, 3729, 5771, 7873, 28005}},
{2034, 15, 1528, {1, 3, 7, 15, 15, 47, 93, 215, 343, 85, 1401, 1375, 2949, 13661, 25453}},
{2035, 15, 1552, {1, 1, 1, 9, 7, 51, 53, 217, 471, 389, 551, 1141, 1767, 2237, 17797}},
{2036, 15, 1555, {1, 1, 7, 9, 3, 29, 65, 29, 223, 591, 1719, 1049, 7643, 3853, 29867}},
{2037, 15, 1571, {1, 1, 1, 11, 13, 41, 85, 29, 451, 387, 1783, 3733, 8033, 4711, 31643}},
{2038, 15, 1578, {1, 3, 1, 11, 11, 57, 75, 153, 7, 373, 2011, 271, 469, 3267, 18969}},
{2039, 15, 1585, {1, 1, 5, 3, 19, 43, 7, 243, 385, 293, 923, 843, 4895, 469, 8421}},
{2040, 15, 1588, {1, 3, 1, 15, 29, 47, 17, 125, 471, 927, 349, 3859, 3059, 11483, 14791}},
{2041, 15, 1603, {1, 3, 1, 11, 17, 17, 111, 109, 9, 213, 1313, 3903, 4411, 4329, 28277}},
{2042, 15, 1609, {1, 3, 3, 15, 1, 55, 47, 69, 143, 789, 1149, 3833, 5053, 6949, 10569}},
{2043, 15, 1617, {1, 3, 5, 7, 11, 15, 79, 83, 123, 937, 1115, 2775, 3041, 11869, 21167}},
{2044, 15, 1620, {1, 3, 7, 13, 9, 47, 45, 221, 139, 923, 1661, 1379, 2485, 7233, 6035}},
{2045, 15, 1629, {1, 1, 3, 3, 11, 55, 77, 3, 87, 693, 1991, 1145, 2783, 16207, 24569}},
{2046, 15, 1636, {1, 1, 5, 11, 3, 35, 91, 9, 391, 927, 101, 1839, 3755, 10345, 16907}},
{2047, 15, 1648, {1, 3, 5, 3, 5, 49, 79, 91, 205, 443, 1369, 197, 2537, 11219, 17765}},
{2048, 15, 1667, {1, 1, 3, 15, 9, 7, 25, 25, 357, 247, 477, 421, 7679, 5987, 30079}},
{2049, 15, 1669, {1, 1, 5, 3, 29, 5, 89, 117, 481, 491, 371, 389, 7101, 2253, 23617}},
{2050, 15, 1682, {1, 1, 5, 13, 29, 59, 17, 181, 511, 291, 1991, 3499, 8177, 5559, 30045}},
{2051, 15, 1697, {1, 3, 3, 11, 23, 31, 117, 217, 241, 115, 749, 945, 1897, 12253, 8473}},
{2052, 15, 1704, {1, 1, 7, 15, 25, 47, 31, 1, 165, 311, 635, 3629, 1593, 8305, 30033}},
{2053, 15, 1709, {1, 3, 5, 9, 3, 17, 101, 237, 379, 503, 49, 929, 1687, 3865, 26723}},
{2054, 15, 1727, {1, 3, 5, 5, 15, 41, 1, 239, 53, 215, 1733, 827, 579, 4089, 6579}},
{2055, 15, 1730, {1, 3, 1, 15, 15, 21, 35, 21, 403, 257, 1475, 2403, 4705, 11553, 203}},
{2056, 15, 1732, {1, 3, 5, 11, 9, 53, 113, 9, 447, 511, 543, 3141, 7389, 11249, 431}},
{2057, 15, 1741, {1, 3, 5, 9, 9, 11, 55, 93, 325, 411, 305, 2573, 6871, 12339, 6435}},
{2058, 15, 1744, {1, 3, 3, 7, 31, 27, 21, 113, 99, 853, 365, 589, 3731, 10875, 12767}},
{2059, 15, 1759, {1, 3, 1, 7, 15, 27, 31, 17, 275, 93, 1161, 2619, 1329, 7307, 587}},
{2060, 15, 1765, {1, 3, 5, 9, 17, 47, 49, 237, 27, 193, 1237, 591, 5151, 5521, 31583}},
{2061, 15, 1766, {1, 3, 5, 3, 13, 1, 27, 87, 43, 977, 305, 3293, 2475, 14571, 18321}},
{2062, 15, 1778, {1, 1, 5, 7, 15, 13, 101, 1, 291, 807, 1711, 2277, 5573, 11051, 13133}},
{2063, 15, 1780, {1, 3, 3, 1, 9, 3, 65, 81, 415, 733, 1527, 2747, 6069, 159, 7095}},
{2064, 15, 1783, {1, 3, 3, 15, 27, 1, 71, 49, 231, 851, 2039, 613, 1899, 2537, 14511}},
{2065, 15, 1797, {1, 1, 1, 11, 3, 41, 55, 23, 247, 1011, 581, 2363, 2745, 1337, 20931}},
{2066, 15, 1807, {1, 1, 3, 11, 17, 61, 67, 255, 143, 357, 945, 3407, 5817, 4155, 23851}},
{2067, 15, 1821, {1, 3, 5, 3, 23, 1, 75, 247, 265, 413, 1899, 2565, 6629, 15655, 16117}},
{2068, 15, 1832, {1, 1, 1, 9, 11, 49, 11, 189, 223, 177, 1457, 1931, 163, 15905, 17297}},
{2069, 15, 1835, {1, 3, 7, 13, 17, 1, 111, 189, 343, 961, 427, 2507, 2393, 8653, 6353}},
{2070, 15, 1849, {1, 3, 7, 13, 23, 61, 59, 51, 313, 963, 791, 3681, 5637, 3965, 9263}},
{2071, 15, 1850, {1, 3, 7, 7, 21, 53, 127, 141, 499, 859, 337, 2835, 3195, 4351, 32369}},
{2072, 15, 1863, {1, 1, 7, 5, 1, 5, 53, 63, 497, 535, 35, 305, 4395, 9757, 13193}},
{2073, 15, 1867, {1, 1, 5, 13, 13, 31, 59, 229, 211, 745, 1453, 3677, 3005, 7703, 23907}},
{2074, 15, 1869, {1, 3, 5, 5, 7, 63, 17, 197, 493, 861, 499, 3015, 6349, 1815, 7437}},
{2075, 15, 1872, {1, 1, 1, 13, 13, 37, 29, 189, 253, 1017, 321, 3145, 407, 7547, 17099}},
{2076, 15, 1887, {1, 3, 3, 3, 23, 53, 69, 77, 175, 17, 1831, 841, 3851, 1295, 32107}},
{2077, 15, 1888, {1, 3, 7, 13, 13, 39, 107, 237, 389, 729, 635, 3717, 3041, 3169, 14987}},
{2078, 15, 1897, {1, 1, 3, 1, 25, 7, 69, 35, 495, 49, 659, 2783, 6051, 13875, 23927}},
{2079, 15, 1906, {1, 3, 7, 5, 5, 25, 49, 7, 193, 493, 93, 657, 1515, 13975, 14155}},
{2080, 15, 1917, {1, 3, 1, 1, 11, 15, 113, 45, 21, 595, 731, 3397, 4117, 9711, 16625}},
{2081, 15, 1927, {1, 3, 3, 9, 19, 19, 59, 7, 105, 579, 599, 2859, 97, 14717, 15361}},
{2082, 15, 1939, {1, 1, 1, 5, 27, 49, 113, 5, 367, 563, 1397, 2805, 3021, 3111, 20671}},
{2083, 15, 1941, {1, 3, 3, 15, 27, 51, 99, 167, 109, 365, 1959, 1523, 6959, 14405, 18191}},
{2084, 15, 1948, {1, 3, 1, 5, 21, 51, 125, 67, 123, 45, 1657, 51, 4825, 14081, 31049}},
{2085, 15, 1970, {1, 1, 5, 7, 21, 59, 21, 249, 77, 793, 1687, 2561, 2241, 4321, 7477}},
{2086, 15, 1979, {1, 1, 1, 7, 15, 35, 71, 29, 267, 611, 1813, 1823, 7039, 3299, 9919}},
{2087, 15, 1982, {1, 3, 7, 11, 21, 59, 109, 213, 371, 785, 659, 1687, 4827, 6017, 19619}},
{2088, 15, 2002, {1, 1, 3, 11, 27, 17, 1, 55, 367, 939, 333, 127, 5105, 2405, 28139}},
{2089, 15, 2020, {1, 1, 7, 13, 5, 35, 59, 133, 509, 573, 625, 3857, 7935, 5279, 3727}},
{2090, 15, 2024, {1, 1, 1, 7, 11, 47, 127, 157, 19, 403, 151, 1143, 7407, 8985, 32521}},
{2091, 15, 2032, {1, 3, 1, 1, 5, 13, 105, 123, 63, 139, 1569, 1983, 563, 7175, 27705}},
{2092, 15, 2053, {1, 1, 3, 13, 9, 35, 105, 227, 145, 21, 1369, 57, 393, 2921, 18511}},
{2093, 15, 2060, {1, 3, 1, 7, 17, 61, 99, 187, 261, 281, 437, 2219, 5999, 1857, 18001}},
{2094, 15, 2063, {1, 3, 3, 5, 1, 59, 67, 45, 451, 439, 2005, 3607, 3, 7167, 14227}},
{2095, 15, 2066, {1, 3, 3, 3, 29, 19, 25, 251, 275, 733, 1749, 4021, 871, 3227, 13701}},
{2096, 15, 2075, {1, 3, 3, 13, 27, 53, 57, 243, 491, 521, 1921, 1037, 5013, 5703, 15261}},
{2097, 15, 2078, {1, 3, 1, 11, 13, 57, 1, 15, 123, 533, 785, 335, 1423, 14269, 3483}},
{2098, 15, 2081, {1, 3, 7, 13, 15, 55, 5, 139, 385, 47, 1981, 1291, 7397, 12925, 29445}},
{2099, 15, 2091, {1, 1, 7, 1, 23, 23, 59, 93, 117, 57, 63, 3047, 4849, 11637, 25311}},
{2100, 15, 2096, {1, 1, 7, 13, 19, 37, 25, 203, 477, 447, 1345, 3485, 2099, 13347, 11621}},
{2101, 15, 2102, {1, 1, 7, 3, 11, 23, 81, 17, 41, 735, 1149, 3253, 7665, 8291, 22293}},
{2102, 15, 2106, {1, 1, 5, 3, 15, 9, 57, 167, 463, 493, 747, 1947, 6471, 1111, 31619}},
{2103, 15, 2116, {1, 1, 5, 15, 7, 15, 107, 205, 325, 167, 1749, 927, 3589, 6127, 7617}},
{2104, 15, 2120, {1, 1, 1, 13, 21, 25, 83, 147, 411, 399, 1423, 2279, 3661, 7591, 17429}},
{2105, 15, 2125, {1, 1, 1, 9, 5, 17, 69, 205, 243, 647, 473, 1717, 1977, 10725, 2913}},
{2106, 15, 2134, {1, 1, 3, 5, 5, 37, 103, 15, 485, 641, 1761, 3755, 6997, 10985, 11773}},
{2107, 15, 2178, {1, 1, 5, 13, 9, 51, 87, 195, 97, 807, 1801, 961, 6341, 4307, 29105}},
{2108, 15, 2180, {1, 3, 1, 13, 9, 35, 83, 61, 387, 817, 951, 3993, 7831, 8479, 23941}},
{2109, 15, 2187, {1, 1, 7, 11, 19, 47, 75, 37, 91, 337, 953, 1169, 163, 2259, 24713}},
{2110, 15, 2189, {1, 1, 1, 11, 13, 15, 83, 171, 159, 87, 619, 2973, 2653, 13725, 12499}},
{2111, 15, 2190, {1, 3, 5, 3, 5, 63, 119, 25, 343, 269, 553, 2183, 959, 3825, 22189}},
{2112, 15, 2208, {1, 1, 5, 15, 5, 37, 89, 109, 497, 1013, 265, 669, 1859, 2647, 3445}},
{2113, 15, 2214, {1, 3, 3, 9, 21, 21, 15, 245, 107, 649, 367, 1601, 7279, 15783, 4943}},
{2114, 15, 2237, {1, 3, 3, 15, 5, 41, 125, 113, 159, 161, 1191, 3491, 3531, 55, 20857}},
{2115, 15, 2252, {1, 3, 5, 9, 21, 57, 21, 195, 99, 193, 1915, 2923, 6349, 15085, 24929}},
{2116, 15, 2257, {1, 1, 1, 11, 31, 11, 73, 141, 361, 621, 1021, 2067, 5115, 12665, 26845}},
{2117, 15, 2260, {1, 1, 1, 3, 29, 11, 43, 61, 209, 923, 1753, 1937, 843, 205, 8367}},
{2118, 15, 2264, {1, 1, 1, 5, 15, 33, 119, 209, 215, 973, 1775, 815, 6693, 7957, 14517}},
{2119, 15, 2270, {1, 1, 1, 5, 17, 57, 27, 147, 489, 59, 1439, 2279, 445, 11791, 19739}},
{2120, 15, 2279, {1, 3, 1, 7, 11, 55, 1, 83, 305, 17, 1909, 405, 2325, 5293, 28559}},
{2121, 15, 2288, {1, 3, 3, 7, 11, 27, 103, 157, 455, 1005, 2033, 3145, 1919, 15723, 25197}},
{2122, 15, 2305, {1, 1, 5, 11, 15, 51, 37, 131, 503, 1007, 1795, 2421, 1335, 7413, 21741}},
{2123, 15, 2312, {1, 1, 3, 1, 23, 63, 69, 83, 419, 283, 583, 123, 7725, 2243, 8403}},
{2124, 15, 2317, {1, 1, 5, 5, 27, 45, 109, 17, 299, 65, 351, 947, 1165, 10723, 2053}},
{2125, 15, 2323, {1, 1, 3, 3, 23, 61, 115, 253, 1, 931, 1481, 3187, 441, 14735, 27207}},
{2126, 15, 2329, {1, 1, 5, 3, 25, 11, 83, 141, 359, 343, 901, 1629, 731, 12841, 14357}},
{2127, 15, 2335, {1, 1, 3, 9, 7, 45, 97, 3, 299, 217, 663, 1527, 6379, 4527, 26147}},
{2128, 15, 2342, {1, 1, 7, 9, 11, 53, 9, 203, 337, 713, 1517, 719, 4587, 11443, 26905}},
{2129, 15, 2345, {1, 1, 7, 9, 11, 41, 125, 213, 237, 377, 361, 3231, 4223, 3263, 12655}},
{2130, 15, 2365, {1, 3, 7, 7, 7, 33, 99, 19, 117, 273, 985, 107, 3831, 10135, 19423}},
{2131, 15, 2371, {1, 1, 5, 15, 25, 41, 13, 125, 449, 169, 1149, 4021, 5663, 3077, 19163}},
{2132, 15, 2378, {1, 3, 5, 9, 25, 57, 47, 103, 269, 51, 1805, 2503, 6687, 8065, 12045}},
{2133, 15, 2385, {1, 3, 5, 7, 3, 35, 87, 225, 189, 229, 931, 3293, 1347, 1427, 3269}},
{2134, 15, 2395, {1, 1, 1, 3, 5, 31, 61, 19, 247, 9, 1667, 343, 559, 2703, 3763}},
{2135, 15, 2404, {1, 3, 5, 15, 31, 19, 57, 187, 109, 121, 1287, 2269, 659, 16235, 1273}},
{2136, 15, 2414, {1, 1, 1, 3, 5, 47, 59, 243, 255, 97, 1959, 1723, 1347, 3019, 26989}},
{2137, 15, 2426, {1, 3, 3, 15, 29, 35, 75, 67, 497, 731, 193, 3307, 3579, 12005, 7209}},
{2138, 15, 2428, {1, 1, 5, 9, 13, 35, 79, 213, 51, 983, 1927, 1793, 5037, 5463, 965}},
{2139, 15, 2441, {1, 1, 7, 11, 5, 41, 7, 83, 15, 411, 1775, 3515, 6755, 3249, 16425}},
{2140, 15, 2456, {1, 3, 5, 1, 19, 61, 3, 19, 395, 819, 1331, 179, 5225, 5333, 3601}},
{2141, 15, 2466, {1, 1, 3, 9, 7, 5, 87, 15, 387, 609, 1465, 277, 987, 8377, 903}},
{2142, 15, 2468, {1, 1, 1, 3, 15, 11, 123, 107, 355, 333, 285, 1801, 6989, 1549, 25791}},
{2143, 15, 2475, {1, 1, 7, 13, 27, 13, 73, 111, 481, 227, 1091, 365, 5713, 5087, 27217}},
{2144, 15, 2489, {1, 3, 3, 15, 1, 55, 95, 213, 377, 405, 139, 1867, 2175, 4217, 28813}},
{2145, 15, 2495, {1, 3, 5, 11, 21, 43, 109, 155, 181, 901, 1951, 507, 4389, 10815, 3141}},
{2146, 15, 2497, {1, 1, 1, 15, 17, 11, 43, 215, 501, 19, 259, 3479, 6381, 6927, 31247}},
{2147, 15, 2510, {1, 3, 5, 15, 19, 61, 75, 41, 391, 95, 865, 1441, 7993, 13979, 24663}},
{2148, 15, 2512, {1, 3, 1, 3, 21, 15, 115, 213, 1, 645, 777, 1517, 2543, 11223, 3633}},
{2149, 15, 2522, {1, 3, 5, 3, 9, 57, 39, 211, 407, 65, 1795, 2805, 2799, 8691, 1987}},
{2150, 15, 2533, {1, 1, 3, 13, 17, 55, 47, 113, 29, 139, 1301, 3303, 1129, 13947, 29821}},
{2151, 15, 2543, {1, 1, 3, 13, 5, 35, 97, 151, 477, 409, 1397, 3399, 4421, 15929, 6163}},
{2152, 15, 2551, {1, 3, 1, 9, 21, 51, 99, 133, 149, 763, 623, 173, 4311, 11081, 1095}},
{2153, 15, 2552, {1, 3, 7, 15, 13, 3, 99, 3, 195, 907, 1335, 1355, 7977, 5773, 32383}},
{2154, 15, 2557, {1, 1, 3, 9, 17, 43, 43, 217, 475, 917, 1373, 1677, 4871, 9619, 16657}},
{2155, 15, 2567, {1, 3, 3, 7, 31, 31, 55, 11, 73, 693, 25, 417, 1195, 6225, 32279}},
{2156, 15, 2581, {1, 3, 5, 9, 21, 57, 127, 149, 79, 379, 1609, 2543, 6473, 16033, 27191}},
{2157, 15, 2586, {1, 1, 5, 1, 13, 9, 81, 153, 297, 789, 1749, 2819, 3961, 11231, 24927}},
{2158, 15, 2597, {1, 3, 5, 3, 23, 61, 45, 43, 43, 133, 1481, 1543, 2991, 13739, 10287}},
{2159, 15, 2601, {1, 1, 3, 9, 25, 43, 31, 177, 337, 193, 1083, 1, 991, 9725, 8379}},
{2160, 15, 2622, {1, 3, 5, 11, 13, 33, 65, 83, 421, 149, 409, 2443, 7423, 8847, 29599}},
{2161, 15, 2633, {1, 1, 5, 11, 11, 1, 23, 225, 77, 585, 1505, 2525, 739, 10915, 25733}},
{2162, 15, 2636, {1, 3, 7, 13, 7, 55, 3, 223, 415, 521, 1865, 2349, 5663, 7455, 16569}},
{2163, 15, 2642, {1, 1, 7, 13, 1, 45, 121, 49, 463, 99, 1061, 2559, 5087, 13389, 11035}},
{2164, 15, 2644, {1, 3, 7, 11, 31, 51, 35, 235, 385, 1023, 1771, 2013, 5437, 4877, 22119}},
{2165, 15, 2653, {1, 3, 3, 11, 21, 3, 11, 119, 81, 737, 1093, 2377, 4055, 1121, 15767}},
{2166, 15, 2667, {1, 1, 5, 13, 9, 3, 83, 217, 387, 249, 1047, 1861, 4103, 15367, 24545}},
{2167, 15, 2669, {1, 3, 3, 1, 5, 37, 43, 183, 383, 463, 937, 1165, 1481, 959, 17047}},
{2168, 15, 2672, {1, 1, 3, 5, 7, 43, 127, 243, 81, 1021, 165, 753, 4711, 12965, 22049}},
{2169, 15, 2675, {1, 1, 5, 5, 3, 61, 65, 53, 425, 89, 5, 1467, 1395, 9579, 8961}},
{2170, 15, 2682, {1, 3, 7, 13, 11, 35, 123, 21, 83, 689, 667, 1203, 5959, 15697, 26885}},
{2171, 15, 2687, {1, 1, 5, 13, 9, 49, 41, 101, 291, 339, 1067, 657, 4453, 1137, 21131}},
{2172, 15, 2691, {1, 3, 3, 3, 17, 61, 11, 213, 27, 805, 1691, 1057, 6011, 11941, 18883}},
{2173, 15, 2698, {1, 3, 1, 7, 3, 51, 5, 63, 121, 3, 245, 2631, 3737, 16121, 26803}},
{2174, 15, 2708, {1, 3, 1, 1, 23, 51, 79, 19, 161, 107, 609, 3489, 3389, 4035, 2427}},
{2175, 15, 2712, {1, 3, 1, 1, 17, 11, 101, 101, 373, 63, 1641, 285, 1333, 165, 14025}},
{2176, 15, 2718, {1, 1, 1, 5, 1, 51, 83, 137, 45, 1019, 821, 867, 6055, 10443, 9857}},
{2177, 15, 2722, {1, 3, 1, 5, 17, 23, 25, 181, 429, 495, 317, 3219, 5963, 13945, 9969}},
{2178, 15, 2736, {1, 3, 7, 3, 3, 15, 123, 191, 369, 177, 1697, 2113, 3889, 5201, 21839}},
{2179, 15, 2741, {1, 3, 1, 11, 21, 39, 51, 139, 271, 605, 1007, 3513, 3365, 3781, 6799}},
{2180, 15, 2756, {1, 1, 7, 5, 13, 19, 47, 165, 249, 405, 255, 1295, 4513, 14395, 5587}},
{2181, 15, 2765, {1, 1, 3, 7, 5, 17, 99, 1, 393, 31, 621, 797, 6113, 16003, 32043}},
{2182, 15, 2774, {1, 3, 5, 13, 11, 21, 65, 81, 147, 443, 775, 3671, 7029, 11749, 3339}},
{2183, 15, 2799, {1, 3, 7, 1, 23, 33, 99, 177, 161, 577, 1729, 617, 3465, 11787, 17577}},
{2184, 15, 2804, {1, 1, 5, 7, 15, 15, 53, 193, 97, 255, 1223, 545, 5153, 873, 24525}},
{2185, 15, 2825, {1, 3, 5, 1, 7, 57, 47, 121, 383, 835, 1709, 2363, 4731, 12163, 7001}},
{2186, 15, 2826, {1, 3, 3, 11, 19, 33, 63, 99, 387, 95, 783, 1009, 6373, 4021, 7685}},
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{5712, 16, 32696, {1, 1, 1, 1, 9, 25, 43, 179, 17, 1021, 1323, 761, 5861, 11547, 26017, 5165}},
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{5720, 17, 25, {1, 1, 5, 7, 11, 35, 67, 45, 193, 3, 627, 3333, 6497, 12307, 28807, 13997, 108645}},
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{5725, 17, 61, {1, 1, 5, 7, 25, 55, 57, 51, 333, 299, 1721, 1667, 6513, 10191, 29405, 21923, 76593}},
{5726, 17, 70, {1, 1, 5, 1, 7, 37, 107, 91, 241, 137, 627, 2749, 5573, 11243, 26197, 4545, 105599}},
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{5789, 17, 558, {1, 1, 3, 9, 11, 29, 43, 175, 371, 357, 1181, 3933, 43, 4559, 10333, 23603, 83095}},
{5790, 17, 560, {1, 3, 3, 9, 9, 7, 57, 61, 409, 143, 591, 761, 4107, 8117, 1051, 4471, 91771}},
{5791, 17, 563, {1, 1, 3, 11, 3, 53, 119, 21, 213, 219, 51, 3491, 7143, 937, 24693, 3211, 99463}},
{5792, 17, 570, {1, 1, 3, 3, 1, 47, 53, 153, 211, 523, 1637, 3351, 3753, 12489, 31825, 27613, 96431}},
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{5794, 17, 583, {1, 3, 3, 13, 15, 63, 111, 5, 449, 957, 1175, 2887, 7741, 8975, 28775, 4067, 69283}},
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{5797, 17, 604, {1, 3, 5, 3, 25, 23, 97, 139, 315, 601, 1179, 1083, 6799, 1813, 15511, 60433, 65641}},
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{5799, 17, 614, {1, 3, 5, 7, 15, 5, 39, 251, 269, 819, 815, 2283, 5635, 6953, 27017, 65143, 45281}},
{5800, 17, 635, {1, 3, 7, 9, 1, 37, 9, 57, 467, 37, 1743, 4031, 3751, 8105, 23789, 46847, 21911}},
{5801, 17, 637, {1, 1, 7, 1, 23, 47, 63, 99, 59, 951, 1837, 2829, 161, 857, 4045, 9945, 53487}},
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{5806, 17, 671, {1, 3, 5, 15, 5, 49, 87, 17, 87, 5, 1179, 1351, 7647, 7529, 15901, 30351, 31959}},
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{5808, 17, 690, {1, 1, 5, 9, 5, 15, 59, 185, 315, 411, 1425, 3905, 853, 12393, 21, 15195, 114291}},
{5809, 17, 695, {1, 3, 1, 5, 29, 47, 19, 203, 319, 673, 1169, 2413, 5295, 6251, 19883, 2725, 28937}},
{5810, 17, 713, {1, 3, 1, 5, 21, 55, 19, 185, 103, 827, 117, 341, 3315, 5625, 345, 63845, 49081}},
{5811, 17, 722, {1, 1, 7, 9, 27, 51, 105, 15, 243, 735, 1221, 1641, 293, 14423, 5363, 60873, 66223}},
{5812, 17, 733, {1, 1, 5, 1, 19, 5, 109, 131, 131, 67, 231, 2907, 4389, 5079, 20503, 59045, 33625}},
{5813, 17, 758, {1, 3, 1, 5, 5, 15, 79, 67, 287, 225, 519, 1543, 2389, 671, 7767, 62625, 61639}},
{5814, 17, 770, {1, 1, 1, 9, 25, 35, 83, 15, 291, 207, 1757, 3691, 5669, 11255, 27939, 57813, 46251}},
{5815, 17, 782, {1, 3, 1, 1, 29, 3, 83, 109, 323, 179, 1855, 3205, 7665, 16201, 13863, 16347, 98977}},
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{5819, 17, 805, {1, 3, 3, 1, 7, 29, 39, 227, 419, 561, 129, 3299, 3123, 4243, 18689, 12335, 71783}},
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{5821, 17, 838, {1, 1, 5, 13, 25, 43, 115, 73, 269, 137, 1765, 705, 1705, 16137, 22751, 60021, 4333}},
{5822, 17, 849, {1, 1, 5, 13, 3, 57, 9, 141, 75, 695, 597, 3435, 1085, 4905, 19625, 16061, 12111}},
{5823, 17, 875, {1, 1, 5, 9, 29, 13, 119, 251, 353, 421, 1955, 3503, 2605, 2587, 12503, 46419, 128815}},
{5824, 17, 877, {1, 3, 5, 7, 7, 29, 67, 25, 37, 327, 1607, 1899, 1691, 5801, 17441, 9755, 24993}},
{5825, 17, 880, {1, 1, 3, 11, 17, 29, 121, 201, 371, 597, 213, 2361, 6615, 169, 24801, 56175, 129241}},
{5826, 17, 892, {1, 3, 5, 1, 31, 63, 85, 77, 151, 599, 103, 677, 4431, 12897, 6373, 40349, 100819}},
{5827, 17, 895, {1, 3, 5, 9, 25, 9, 119, 219, 379, 939, 1907, 945, 5819, 7433, 32519, 56493, 50441}},
{5828, 17, 899, {1, 1, 3, 9, 13, 1, 63, 189, 135, 839, 1821, 2247, 2547, 965, 6847, 63335, 32921}},
{5829, 17, 919, {1, 3, 5, 13, 21, 25, 111, 37, 319, 469, 1999, 1637, 8167, 2641, 24615, 63713, 115923}},
{5830, 17, 920, {1, 3, 5, 9, 9, 27, 1, 63, 275, 223, 1675, 3833, 7377, 9755, 6279, 37161, 108805}},
{5831, 17, 932, {1, 3, 3, 13, 29, 23, 21, 73, 401, 863, 701, 2527, 4557, 5549, 22493, 6651, 39167}},
{5832, 17, 935, {1, 1, 3, 15, 25, 21, 97, 25, 83, 925, 2029, 3789, 3241, 7617, 13699, 31123, 124619}},
{5833, 17, 936, {1, 3, 7, 5, 23, 7, 95, 227, 123, 215, 359, 2099, 4505, 8477, 32665, 18211, 99679}},
{5834, 17, 941, {1, 3, 1, 9, 11, 57, 75, 17, 105, 175, 831, 1033, 5425, 8419, 16163, 23901, 33889}},
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{5837, 17, 962, {1, 3, 1, 11, 15, 1, 23, 29, 509, 985, 1217, 3755, 385, 3697, 24631, 37619, 62435}},
{5838, 17, 971, {1, 3, 3, 3, 17, 11, 107, 37, 227, 913, 259, 2799, 3249, 2347, 9703, 52741, 101187}},
{5839, 17, 982, {1, 1, 5, 13, 25, 25, 47, 77, 405, 415, 1947, 1675, 5079, 1333, 10059, 32033, 88975}},
{5840, 17, 986, {1, 3, 5, 9, 27, 7, 19, 241, 445, 205, 333, 285, 7997, 6339, 29643, 10229, 29965}},
{5841, 17, 1012, {1, 3, 5, 11, 17, 9, 91, 223, 173, 1013, 779, 3967, 781, 5471, 4309, 24795, 99203}},
{5842, 17, 1021, {1, 1, 1, 3, 19, 53, 7, 159, 351, 515, 223, 3375, 1, 4985, 16729, 43333, 85917}},
{5843, 17, 1024, {1, 3, 3, 1, 19, 35, 95, 69, 19, 157, 1177, 579, 7109, 3499, 3219, 26641, 49491}},
{5844, 17, 1029, {1, 3, 3, 5, 25, 21, 125, 5, 39, 857, 615, 2925, 2005, 5503, 25523, 36711, 30939}},
{5845, 17, 1030, {1, 3, 1, 5, 11, 33, 29, 5, 425, 125, 939, 1641, 321, 1023, 12551, 4587, 116617}},
{5846, 17, 1051, {1, 3, 3, 13, 9, 59, 93, 137, 103, 517, 1555, 13, 7965, 13629, 14339, 37425, 65891}},
{5847, 17, 1054, {1, 3, 7, 1, 31, 31, 87, 237, 365, 951, 267, 2019, 5085, 6133, 29371, 50319, 94313}},
{5848, 17, 1064, {1, 3, 5, 7, 17, 19, 23, 225, 501, 189, 1291, 603, 6873, 8633, 11425, 30565, 26355}},
{5849, 17, 1067, {1, 3, 7, 11, 23, 17, 91, 111, 415, 225, 1287, 2081, 4683, 12069, 3627, 32281, 17995}},
{5850, 17, 1082, {1, 1, 5, 15, 25, 59, 75, 203, 179, 405, 1711, 3147, 7483, 5583, 3729, 11765, 61019}},
{5851, 17, 1096, {1, 3, 3, 9, 3, 43, 65, 7, 269, 33, 829, 1789, 967, 13119, 26329, 16937, 18533}},
{5852, 17, 1116, {1, 1, 3, 15, 11, 39, 73, 11, 31, 143, 1913, 1227, 1363, 11831, 28687, 50489, 106373}},
{5853, 17, 1119, {1, 1, 3, 3, 25, 19, 15, 11, 349, 1011, 421, 3193, 3665, 6149, 20729, 6997, 51437}},
{5854, 17, 1129, {1, 3, 5, 9, 13, 63, 73, 55, 417, 223, 1753, 2913, 4809, 3947, 10769, 5751, 93867}},
{5855, 17, 1130, {1, 3, 7, 13, 31, 39, 39, 133, 483, 839, 1137, 3303, 7285, 4309, 24079, 60529, 103337}},
{5856, 17, 1132, {1, 1, 3, 7, 1, 55, 3, 253, 435, 589, 1949, 1461, 513, 381, 29455, 4263, 16831}},
{5857, 17, 1137, {1, 1, 1, 15, 25, 19, 77, 101, 299, 187, 1021, 1533, 8021, 4165, 2277, 18927, 110439}},
{5858, 17, 1147, {1, 1, 1, 11, 9, 35, 71, 159, 409, 527, 15, 4073, 5749, 8563, 2503, 53015, 111581}},
{5859, 17, 1150, {1, 1, 7, 5, 21, 47, 113, 23, 477, 559, 543, 409, 4701, 11479, 30761, 8373, 87777}},
{5860, 17, 1154, {1, 3, 5, 13, 9, 27, 25, 137, 81, 37, 799, 857, 3539, 4471, 15753, 59015, 48589}},
{5861, 17, 1165, {1, 1, 3, 7, 11, 57, 103, 83, 209, 71, 193, 3251, 4839, 13959, 32009, 6471, 23631}},
{5862, 17, 1166, {1, 1, 7, 11, 25, 33, 85, 31, 371, 253, 1667, 1627, 6159, 10039, 15177, 52121, 39475}},
{5863, 17, 1174, {1, 1, 5, 9, 13, 55, 37, 13, 95, 113, 1895, 1525, 1907, 6361, 5863, 27767, 108143}},
{5864, 17, 1177, {1, 1, 3, 13, 21, 5, 53, 39, 485, 171, 1355, 2117, 3127, 6467, 31697, 45343, 111477}},
{5865, 17, 1184, {1, 1, 7, 15, 13, 57, 11, 231, 329, 703, 1823, 2983, 215, 2835, 19719, 56637, 126169}},
{5866, 17, 1194, {1, 3, 5, 15, 13, 51, 13, 173, 301, 867, 127, 2391, 2795, 4945, 13293, 49947, 10765}},
{5867, 17, 1204, {1, 3, 3, 9, 23, 5, 29, 165, 467, 599, 1181, 3213, 4069, 5473, 8937, 51495, 42611}},
{5868, 17, 1208, {1, 1, 7, 15, 5, 5, 31, 125, 397, 519, 1465, 115, 7877, 7025, 14213, 50343, 85827}},
{5869, 17, 1213, {1, 3, 7, 3, 25, 59, 95, 103, 101, 347, 95, 3, 1251, 15109, 12615, 7511, 56789}},
{5870, 17, 1219, {1, 3, 5, 9, 13, 59, 71, 19, 107, 73, 345, 3177, 6519, 2407, 18033, 31075, 113185}},
{5871, 17, 1233, {1, 1, 1, 3, 27, 37, 5, 219, 169, 149, 355, 549, 1811, 11351, 22627, 53931, 88619}},
{5872, 17, 1264, {1, 3, 1, 3, 27, 7, 9, 97, 399, 947, 1393, 3917, 5439, 15845, 19465, 30123, 69099}},
{5873, 17, 1267, {1, 1, 7, 9, 13, 25, 107, 45, 111, 409, 967, 3359, 2499, 1703, 20763, 45187, 16265}},
{5874, 17, 1281, {1, 1, 1, 13, 5, 49, 43, 249, 49, 947, 597, 1773, 2387, 2693, 15297, 57969, 53385}},
{5875, 17, 1312, {1, 1, 7, 15, 27, 25, 27, 121, 421, 781, 143, 817, 7335, 14211, 139, 55601, 56671}},
{5876, 17, 1321, {1, 3, 1, 5, 29, 47, 77, 23, 413, 931, 785, 1221, 769, 13131, 26955, 56441, 85745}},
{5877, 17, 1330, {1, 1, 1, 11, 27, 3, 53, 21, 467, 43, 1533, 1053, 691, 6369, 8325, 51087, 71261}},
{5878, 17, 1332, {1, 1, 3, 15, 7, 9, 43, 225, 293, 143, 1049, 3095, 6119, 3165, 9913, 26023, 62657}},
{5879, 17, 1335, {1, 3, 7, 9, 11, 39, 99, 193, 217, 941, 259, 3811, 6757, 281, 10377, 46961, 48949}},
{5880, 17, 1341, {1, 1, 1, 1, 25, 1, 99, 61, 495, 861, 2013, 487, 2821, 12921, 30111, 27213, 97363}},
{5881, 17, 1356, {1, 1, 5, 9, 23, 33, 103, 237, 161, 721, 2021, 159, 995, 475, 20615, 30961, 31767}},
{5882, 17, 1371, {1, 3, 1, 1, 5, 59, 63, 139, 451, 789, 1285, 655, 5501, 273, 21061, 35937, 20811}},
{5883, 17, 1377, {1, 3, 3, 9, 9, 15, 121, 233, 287, 929, 1605, 1243, 417, 1695, 29903, 28699, 85981}},
{5884, 17, 1380, {1, 3, 3, 5, 7, 25, 27, 253, 469, 255, 285, 2467, 4897, 4079, 29759, 50351, 76451}},
{5885, 17, 1384, {1, 1, 3, 3, 5, 33, 29, 209, 291, 967, 1429, 1953, 5957, 14065, 8875, 32675, 4629}},
{5886, 17, 1395, {1, 3, 5, 9, 7, 31, 97, 21, 177, 485, 1115, 4051, 6683, 7761, 30181, 37531, 51789}},
{5887, 17, 1397, {1, 1, 7, 3, 25, 51, 23, 183, 57, 699, 1245, 2519, 2783, 4457, 6381, 43199, 40071}},
{5888, 17, 1411, {1, 3, 5, 5, 19, 55, 45, 101, 299, 461, 1009, 319, 7335, 7769, 5479, 61113, 7937}},
{5889, 17, 1414, {1, 1, 7, 3, 29, 21, 55, 55, 437, 771, 363, 683, 4299, 15569, 13813, 40663, 86285}},
{5890, 17, 1426, {1, 1, 1, 13, 31, 35, 93, 175, 451, 387, 1145, 3367, 3833, 13495, 11019, 48925, 85721}},
{5891, 17, 1432, {1, 1, 7, 15, 31, 21, 55, 205, 117, 895, 535, 2627, 1473, 10779, 24493, 42999, 130805}},
{5892, 17, 1435, {1, 1, 3, 13, 27, 11, 45, 37, 193, 237, 1505, 1405, 3613, 9565, 3037, 53643, 85211}},
{5893, 17, 1437, {1, 1, 3, 13, 9, 17, 19, 27, 117, 503, 65, 1033, 7891, 4005, 9229, 20999, 96601}},
{5894, 17, 1442, {1, 3, 3, 5, 17, 3, 71, 79, 145, 985, 935, 3997, 6239, 12511, 13895, 65031, 126383}},
{5895, 17, 1454, {1, 1, 5, 1, 23, 55, 3, 105, 71, 243, 1479, 111, 7103, 10753, 26193, 35833, 14583}},
{5896, 17, 1468, {1, 3, 3, 3, 15, 3, 73, 125, 267, 29, 1775, 1437, 8091, 10891, 25731, 54381, 12821}},
{5897, 17, 1473, {1, 1, 1, 3, 23, 15, 67, 123, 401, 347, 807, 1097, 31, 11209, 8727, 58149, 129099}},
{5898, 17, 1488, {1, 3, 3, 7, 7, 61, 49, 129, 423, 535, 135, 3587, 233, 4509, 23209, 59203, 41297}},
{5899, 17, 1491, {1, 3, 1, 7, 5, 29, 65, 31, 335, 855, 835, 1421, 3081, 14219, 16321, 48269, 41603}},
{5900, 17, 1509, {1, 1, 1, 13, 3, 21, 5, 117, 163, 603, 1519, 3789, 7873, 10981, 4615, 9165, 83929}},
{5901, 17, 1524, {1, 3, 5, 11, 15, 21, 75, 151, 193, 757, 647, 1603, 333, 10515, 22771, 55459, 3315}},
{5902, 17, 1533, {1, 1, 7, 1, 27, 3, 63, 197, 271, 175, 1599, 2119, 1031, 8671, 10893, 35641, 94535}},
{5903, 17, 1555, {1, 1, 1, 15, 1, 59, 93, 17, 5, 213, 1663, 941, 435, 8107, 1963, 34951, 106181}},
{5904, 17, 1567, {1, 1, 5, 11, 13, 35, 111, 97, 267, 737, 2023, 1301, 7407, 11249, 31785, 31933, 20673}},
{5905, 17, 1571, {1, 3, 3, 15, 5, 15, 29, 63, 189, 687, 27, 2005, 7129, 11377, 23175, 42389, 30933}},
{5906, 17, 1586, {1, 1, 1, 9, 13, 63, 7, 155, 67, 291, 1419, 755, 2623, 4749, 22971, 7545, 55711}},
{5907, 17, 1592, {1, 3, 7, 7, 23, 29, 83, 151, 213, 201, 157, 3051, 6553, 6401, 15931, 47941, 22869}},
{5908, 17, 1595, {1, 3, 5, 5, 7, 45, 33, 155, 225, 25, 49, 2419, 4241, 6835, 11401, 50725, 118343}},
{5909, 17, 1600, {1, 1, 3, 13, 31, 27, 37, 41, 19, 375, 1771, 1789, 2313, 2577, 12615, 22715, 22179}},
{5910, 17, 1606, {1, 3, 1, 11, 17, 53, 55, 229, 235, 837, 143, 3583, 2789, 5471, 6515, 44565, 8619}},
{5911, 17, 1627, {1, 1, 5, 15, 5, 17, 23, 95, 217, 551, 353, 27, 3973, 2547, 27903, 50611, 72277}},
{5912, 17, 1648, {1, 1, 3, 7, 5, 13, 41, 111, 157, 215, 1327, 3073, 1871, 11875, 24239, 40527, 97637}},
{5913, 17, 1651, {1, 3, 1, 1, 29, 63, 111, 187, 369, 395, 1197, 3229, 4353, 14715, 29671, 50503, 89321}},
{5914, 17, 1654, {1, 3, 1, 1, 5, 63, 11, 39, 171, 209, 463, 3421, 3451, 4453, 14397, 2219, 98261}},
{5915, 17, 1667, {1, 3, 3, 5, 1, 1, 13, 101, 67, 815, 1521, 1543, 7221, 7337, 10765, 30029, 47881}},
{5916, 17, 1669, {1, 1, 5, 7, 9, 9, 33, 197, 439, 893, 961, 11, 4319, 14265, 24839, 33581, 35531}},
{5917, 17, 1674, {1, 3, 3, 15, 29, 35, 43, 229, 313, 369, 955, 1069, 2939, 12623, 20373, 1533, 9105}},
{5918, 17, 1687, {1, 3, 1, 7, 21, 7, 127, 243, 103, 353, 859, 3789, 4369, 12063, 22369, 14531, 94289}},
{5919, 17, 1698, {1, 3, 5, 15, 1, 27, 65, 127, 229, 99, 627, 2693, 7173, 7305, 29971, 7097, 10113}},
{5920, 17, 1710, {1, 1, 5, 15, 3, 47, 61, 29, 155, 725, 1727, 2667, 7003, 16277, 21983, 21365, 129365}},
{5921, 17, 1717, {1, 1, 5, 7, 27, 61, 115, 133, 137, 661, 1201, 2151, 367, 3567, 12885, 62143, 53955}},
{5922, 17, 1722, {1, 1, 1, 11, 9, 41, 113, 103, 469, 687, 1541, 3679, 6833, 10493, 32747, 39909, 121445}},
{5923, 17, 1735, {1, 1, 7, 5, 5, 5, 91, 91, 5, 405, 529, 3999, 6783, 2387, 16621, 12919, 8659}},
{5924, 17, 1741, {1, 1, 7, 13, 21, 47, 125, 155, 83, 913, 1833, 4027, 6657, 7031, 31231, 58201, 88943}},
{5925, 17, 1749, {1, 3, 7, 3, 17, 55, 25, 29, 181, 205, 1173, 1081, 6475, 5037, 18461, 22487, 114131}},
{5926, 17, 1750, {1, 1, 7, 7, 25, 63, 101, 103, 171, 191, 1863, 3441, 2515, 14179, 30123, 19145, 31669}},
{5927, 17, 1769, {1, 3, 7, 11, 29, 49, 73, 163, 415, 821, 1809, 723, 7049, 14565, 4829, 19395, 61131}},
{5928, 17, 1775, {1, 1, 7, 9, 5, 25, 103, 167, 381, 757, 813, 471, 3021, 6619, 20929, 38133, 129505}},
{5929, 17, 1777, {1, 1, 5, 13, 25, 61, 59, 199, 257, 999, 169, 3289, 7181, 2049, 2185, 39045, 102703}},
{5930, 17, 1778, {1, 1, 3, 1, 21, 1, 111, 125, 289, 33, 701, 3491, 5569, 8055, 23149, 26793, 102563}},
{5931, 17, 1792, {1, 1, 7, 3, 25, 15, 105, 235, 307, 201, 1947, 699, 2519, 10615, 29345, 17061, 112949}},
{5932, 17, 1797, {1, 3, 3, 15, 19, 1, 93, 173, 399, 13, 269, 1189, 523, 5145, 32731, 54087, 94123}},
{5933, 17, 1802, {1, 3, 1, 15, 9, 41, 59, 79, 217, 833, 1993, 2429, 3599, 6919, 30911, 12615, 67947}},
{5934, 17, 1822, {1, 3, 3, 13, 31, 9, 95, 37, 343, 955, 1363, 3851, 4091, 13165, 15241, 14853, 35747}},
{5935, 17, 1825, {1, 1, 3, 5, 27, 39, 37, 217, 385, 473, 1997, 2247, 7353, 1503, 9003, 15055, 27289}},
{5936, 17, 1831, {1, 3, 7, 11, 1, 13, 21, 243, 375, 91, 1295, 1661, 203, 15251, 15355, 16065, 24183}},
{5937, 17, 1838, {1, 3, 1, 13, 11, 45, 85, 5, 275, 741, 1395, 4011, 7987, 16087, 24113, 50555, 128147}},
{5938, 17, 1852, {1, 1, 1, 7, 3, 11, 13, 189, 55, 151, 395, 657, 807, 11973, 26297, 13043, 109641}},
{5939, 17, 1855, {1, 1, 7, 13, 31, 19, 33, 235, 491, 647, 1115, 2299, 6381, 7525, 2237, 36197, 126457}},
{5940, 17, 1860, {1, 3, 5, 1, 21, 15, 53, 231, 77, 347, 969, 141, 4501, 9429, 1815, 50887, 74581}},
{5941, 17, 1867, {1, 1, 1, 9, 29, 43, 47, 103, 327, 131, 927, 441, 7517, 7277, 21065, 409, 50351}},
{5942, 17, 1869, {1, 1, 5, 1, 11, 13, 103, 157, 239, 69, 1347, 477, 5017, 9723, 28133, 65135, 12359}},
{5943, 17, 1875, {1, 1, 1, 13, 17, 63, 117, 189, 323, 565, 927, 1727, 5337, 13243, 5739, 31241, 14209}},
{5944, 17, 1882, {1, 1, 3, 9, 29, 9, 103, 61, 467, 217, 1367, 2405, 5355, 5743, 31469, 30149, 98775}},
{5945, 17, 1903, {1, 1, 1, 15, 23, 23, 17, 229, 103, 583, 179, 115, 7081, 9437, 32623, 62639, 72391}},
{5946, 17, 1908, {1, 1, 5, 11, 11, 39, 97, 209, 115, 107, 593, 2347, 1445, 6179, 32011, 8435, 65847}},
{5947, 17, 1917, {1, 3, 7, 3, 29, 27, 55, 111, 27, 731, 995, 1871, 5017, 1485, 11313, 2559, 6561}},
{5948, 17, 1927, {1, 3, 1, 3, 27, 9, 103, 247, 83, 197, 517, 1629, 2189, 7255, 183, 35111, 15077}},
{5949, 17, 1941, {1, 3, 7, 5, 31, 37, 87, 223, 343, 331, 1361, 3371, 2007, 13235, 10897, 63839, 109837}},
{5950, 17, 1945, {1, 1, 7, 11, 17, 5, 41, 197, 489, 625, 1595, 2663, 5941, 14029, 30999, 16781, 116001}},
{5951, 17, 1948, {1, 3, 3, 7, 19, 19, 61, 175, 125, 609, 1391, 147, 3001, 4189, 10133, 24031, 46219}},
{5952, 17, 1962, {1, 1, 3, 13, 13, 57, 117, 181, 299, 939, 583, 3151, 829, 6561, 30449, 12211, 107879}},
{5953, 17, 1975, {1, 1, 5, 11, 23, 45, 87, 115, 259, 613, 1001, 171, 57, 13789, 22173, 56837, 26263}},
{5954, 17, 1976, {1, 1, 3, 3, 7, 43, 45, 131, 87, 251, 1411, 2737, 2739, 4595, 12561, 12043, 82885}},
{5955, 17, 1987, {1, 3, 3, 7, 19, 39, 87, 223, 461, 37, 283, 3937, 6193, 10887, 11509, 41131, 38359}},
{5956, 17, 1993, {1, 3, 1, 11, 11, 37, 25, 133, 105, 1013, 925, 3301, 239, 16295, 4831, 8649, 125767}},
{5957, 17, 2004, {1, 3, 3, 11, 25, 11, 41, 155, 1, 717, 1587, 635, 279, 1803, 14817, 28669, 88835}},
{5958, 17, 2020, {1, 3, 3, 11, 29, 17, 39, 51, 13, 871, 1197, 2561, 6671, 8465, 22709, 15933, 15923}},
{5959, 17, 2029, {1, 3, 7, 1, 13, 17, 57, 43, 267, 261, 901, 241, 3767, 15053, 11017, 36321, 72497}},
{5960, 17, 2030, {1, 3, 1, 15, 23, 13, 17, 63, 171, 919, 1387, 2673, 7605, 8523, 14807, 21187, 56057}},
{5961, 17, 2038, {1, 3, 7, 15, 23, 41, 85, 95, 53, 629, 1877, 3167, 2411, 9619, 24621, 31213, 30069}},
{5962, 17, 2041, {1, 1, 5, 3, 3, 25, 99, 39, 321, 549, 599, 1279, 2401, 2335, 8227, 59429, 94549}},
{5963, 17, 2048, {1, 3, 3, 11, 9, 21, 29, 55, 477, 19, 1275, 29, 2253, 11421, 30401, 57059, 93219}},
{5964, 17, 2054, {1, 1, 7, 1, 27, 13, 117, 249, 463, 769, 281, 515, 7467, 11507, 1621, 39765, 31109}},
{5965, 17, 2057, {1, 3, 5, 7, 19, 7, 77, 107, 23, 895, 1013, 2701, 3805, 7327, 27247, 6119, 102395}},
{5966, 17, 2058, {1, 1, 3, 13, 21, 49, 99, 15, 163, 641, 1703, 3061, 163, 4265, 32571, 13957, 75005}},
{5967, 17, 2068, {1, 1, 5, 11, 27, 17, 87, 169, 427, 959, 361, 1023, 5727, 16279, 1099, 39081, 67215}},
{5968, 17, 2072, {1, 3, 3, 9, 23, 13, 1, 91, 173, 325, 1881, 1385, 8023, 935, 9221, 19673, 36949}},
{5969, 17, 2075, {1, 3, 1, 7, 7, 25, 119, 189, 107, 249, 811, 973, 6499, 101, 11281, 55227, 32361}},
{5970, 17, 2077, {1, 1, 5, 13, 19, 37, 117, 95, 463, 587, 1419, 445, 4019, 7257, 29757, 50773, 52247}},
{5971, 17, 2082, {1, 1, 1, 1, 17, 57, 81, 57, 43, 789, 1035, 625, 1707, 9683, 3681, 12411, 110623}},
{5972, 17, 2084, {1, 1, 7, 5, 7, 57, 49, 91, 459, 513, 1869, 3377, 139, 10037, 24091, 54247, 41279}},
{5973, 17, 2087, {1, 3, 3, 9, 9, 33, 29, 51, 355, 415, 1907, 809, 6543, 349, 18507, 12919, 41667}},
{5974, 17, 2101, {1, 1, 5, 11, 3, 17, 73, 201, 121, 909, 1623, 799, 3271, 9051, 5717, 15169, 127861}},
{5975, 17, 2111, {1, 1, 7, 7, 23, 31, 1, 155, 475, 87, 2001, 2459, 1285, 5931, 6803, 56757, 71671}},
{5976, 17, 2113, {1, 1, 5, 13, 5, 1, 21, 109, 263, 841, 723, 1539, 7529, 433, 23721, 33195, 57001}},
{5977, 17, 2119, {1, 3, 3, 13, 29, 55, 105, 231, 405, 265, 671, 351, 4693, 9033, 21963, 52073, 125131}},
{5978, 17, 2147, {1, 3, 1, 13, 25, 51, 55, 227, 245, 983, 251, 2553, 2017, 1381, 31461, 3953, 75775}},
{5979, 17, 2154, {1, 1, 1, 11, 31, 11, 91, 91, 287, 749, 1019, 4055, 3237, 6965, 14765, 1663, 82987}},
{5980, 17, 2161, {1, 1, 7, 3, 11, 15, 67, 161, 79, 729, 1115, 3713, 2715, 9361, 9365, 26093, 63409}},
{5981, 17, 2164, {1, 3, 1, 7, 1, 51, 125, 15, 457, 433, 405, 2329, 157, 4817, 25867, 38177, 45319}},
{5982, 17, 2177, {1, 3, 7, 9, 25, 57, 5, 233, 481, 781, 1313, 3179, 7219, 8717, 14825, 16079, 127149}},
{5983, 17, 2178, {1, 1, 7, 15, 27, 51, 5, 65, 77, 313, 1751, 1489, 4307, 10541, 11345, 52577, 18143}},
{5984, 17, 2184, {1, 1, 1, 15, 21, 5, 113, 71, 411, 327, 1681, 1023, 5661, 15815, 5387, 10351, 21121}},
{5985, 17, 2198, {1, 1, 5, 5, 29, 55, 25, 255, 69, 879, 501, 1915, 3731, 633, 12197, 5249, 31129}},
{5986, 17, 2201, {1, 3, 5, 7, 3, 23, 107, 163, 485, 853, 359, 3069, 4353, 371, 6027, 53239, 105541}},
{5987, 17, 2213, {1, 3, 5, 15, 7, 41, 9, 47, 33, 327, 621, 147, 577, 29, 14623, 3403, 9791}},
{5988, 17, 2217, {1, 3, 3, 15, 29, 47, 41, 149, 477, 127, 573, 877, 3101, 5963, 28457, 14231, 67425}},
{5989, 17, 2228, {1, 1, 1, 15, 31, 7, 55, 191, 101, 259, 1071, 219, 2233, 3583, 21969, 32745, 80529}},
{5990, 17, 2240, {1, 3, 7, 13, 17, 53, 115, 69, 241, 71, 1475, 191, 509, 3721, 15537, 53773, 18005}},
{5991, 17, 2245, {1, 1, 3, 9, 5, 57, 13, 95, 103, 871, 2043, 2239, 7833, 10727, 6513, 55273, 3781}},
{5992, 17, 2250, {1, 1, 5, 5, 9, 11, 55, 151, 239, 537, 135, 2779, 7393, 15393, 11097, 58593, 100745}},
{5993, 17, 2263, {1, 1, 1, 9, 15, 39, 29, 105, 441, 181, 1113, 2125, 8145, 11045, 6589, 33603, 83377}},
{5994, 17, 2267, {1, 3, 1, 1, 11, 63, 69, 153, 225, 845, 675, 407, 4691, 13383, 27359, 38881, 5509}},
{5995, 17, 2285, {1, 3, 7, 11, 23, 31, 69, 3, 41, 57, 683, 887, 6861, 12161, 14537, 27293, 113001}},
{5996, 17, 2286, {1, 1, 1, 11, 5, 1, 101, 175, 437, 3, 1477, 1005, 6607, 7429, 7213, 4025, 66479}},
{5997, 17, 2291, {1, 1, 7, 5, 19, 7, 99, 131, 273, 977, 1717, 3831, 175, 5673, 12577, 36787, 30945}},
{5998, 17, 2298, {1, 3, 1, 1, 15, 37, 105, 195, 61, 869, 255, 2625, 7401, 9361, 13217, 52811, 130811}},
{5999, 17, 2306, {1, 3, 5, 3, 29, 27, 105, 23, 511, 813, 1311, 2859, 1647, 1949, 1329, 27589, 125209}},
{6000, 17, 2325, {1, 3, 3, 1, 21, 11, 119, 247, 123, 401, 409, 1845, 2133, 10793, 221, 43217, 14069}},
{6001, 17, 2329, {1, 1, 5, 1, 29, 21, 51, 73, 501, 861, 725, 249, 4249, 8029, 15767, 11985, 18637}},
{6002, 17, 2332, {1, 1, 5, 11, 19, 39, 97, 65, 13, 283, 489, 2307, 5239, 4161, 18639, 60035, 22405}},
{6003, 17, 2335, {1, 3, 5, 1, 3, 7, 109, 27, 429, 663, 1569, 3001, 3453, 8627, 9719, 23941, 110451}},
{6004, 17, 2339, {1, 3, 7, 5, 17, 13, 125, 209, 347, 95, 1937, 1419, 5661, 7171, 20607, 9777, 68343}},
{6005, 17, 2346, {1, 1, 1, 1, 7, 41, 43, 229, 57, 49, 1863, 2819, 3735, 915, 1571, 11603, 116275}},
{6006, 17, 2351, {1, 1, 7, 9, 21, 27, 5, 199, 181, 521, 303, 1097, 5427, 8899, 30325, 55457, 16189}},
{6007, 17, 2353, {1, 3, 3, 7, 19, 41, 3, 205, 279, 223, 971, 633, 2617, 13191, 10193, 23375, 62563}},
{6008, 17, 2363, {1, 3, 3, 13, 23, 59, 85, 25, 253, 405, 65, 1625, 4401, 4679, 14381, 57833, 30001}},
{6009, 17, 2378, {1, 3, 3, 3, 13, 35, 11, 157, 123, 397, 119, 2513, 1919, 14583, 5469, 11463, 94711}},
{6010, 17, 2383, {1, 1, 1, 7, 17, 37, 83, 211, 451, 939, 449, 13, 6671, 1457, 19855, 15053, 52327}},
{6011, 17, 2391, {1, 1, 5, 3, 9, 57, 39, 183, 331, 451, 1391, 1865, 7801, 14293, 29069, 705, 109497}},
{6012, 17, 2401, {1, 3, 7, 7, 23, 21, 85, 81, 255, 9, 1685, 2879, 6327, 12675, 31657, 38877, 74131}},
{6013, 17, 2408, {1, 1, 5, 9, 25, 19, 41, 195, 31, 555, 927, 1445, 593, 11067, 10819, 17205, 82037}},
{6014, 17, 2414, {1, 3, 1, 13, 1, 35, 29, 71, 323, 705, 53, 3885, 6223, 1319, 30853, 59935, 35949}},
{6015, 17, 2419, {1, 1, 7, 3, 27, 63, 67, 31, 149, 61, 1611, 77, 4271, 3161, 12493, 38341, 53837}},
{6016, 17, 2428, {1, 1, 1, 15, 27, 53, 31, 249, 429, 925, 1485, 1855, 4421, 5703, 10097, 14827, 36685}},
{6017, 17, 2441, {1, 3, 7, 13, 7, 63, 53, 9, 317, 485, 1679, 3631, 3745, 5643, 21615, 45129, 48027}},
{6018, 17, 2444, {1, 1, 1, 1, 17, 43, 19, 163, 441, 847, 937, 959, 6649, 13071, 1065, 55193, 129509}},
{6019, 17, 2461, {1, 1, 1, 11, 29, 47, 9, 215, 397, 637, 961, 3139, 2007, 12603, 27657, 22825, 72873}},
{6020, 17, 2480, {1, 3, 3, 15, 7, 45, 55, 163, 259, 899, 951, 3245, 4191, 15813, 20195, 8361, 54025}},
{6021, 17, 2483, {1, 1, 5, 11, 3, 17, 13, 223, 289, 255, 875, 2937, 1593, 9729, 21569, 63199, 83875}},
{6022, 17, 2486, {1, 1, 1, 15, 19, 31, 17, 129, 267, 9, 2015, 3233, 6799, 12891, 18473, 37865, 19547}},
{6023, 17, 2489, {1, 1, 5, 5, 5, 29, 81, 37, 357, 539, 1525, 2839, 8041, 5569, 4423, 8907, 35461}},
{6024, 17, 2490, {1, 1, 5, 5, 29, 11, 85, 61, 333, 521, 1111, 3627, 325, 9805, 17889, 25655, 39537}},
{6025, 17, 2518, {1, 3, 5, 11, 11, 53, 81, 25, 79, 253, 1963, 287, 7487, 15045, 21431, 35417, 102391}},
{6026, 17, 2527, {1, 1, 1, 5, 11, 33, 45, 45, 425, 773, 1817, 4077, 1471, 11655, 683, 7115, 92651}},
{6027, 17, 2540, {1, 1, 3, 3, 21, 13, 101, 215, 311, 853, 41, 1007, 5511, 2581, 25565, 13155, 117225}},
{6028, 17, 2558, {1, 1, 3, 11, 19, 9, 125, 59, 273, 691, 499, 1547, 567, 10259, 21963, 48725, 3601}},
{6029, 17, 2567, {1, 1, 3, 7, 27, 31, 39, 125, 317, 625, 1329, 3947, 3943, 6889, 2811, 34055, 1449}},
{6030, 17, 2571, {1, 1, 1, 3, 29, 45, 73, 239, 319, 611, 647, 1839, 5277, 7807, 3107, 14683, 20203}},
{6031, 17, 2574, {1, 3, 3, 3, 5, 5, 107, 139, 103, 809, 1343, 4041, 3273, 1789, 16205, 47873, 27803}},
{6032, 17, 2579, {1, 3, 1, 9, 21, 23, 13, 131, 105, 741, 1773, 981, 5633, 14609, 12281, 50343, 14317}},
{6033, 17, 2585, {1, 1, 1, 5, 11, 5, 125, 171, 109, 555, 159, 905, 691, 12401, 22817, 41411, 70113}},
{6034, 17, 2615, {1, 3, 3, 9, 31, 37, 109, 231, 59, 615, 799, 319, 2459, 4521, 8525, 4827, 22969}},
{6035, 17, 2639, {1, 3, 1, 5, 11, 7, 49, 237, 345, 473, 981, 2073, 6525, 8805, 13403, 3659, 69897}},
{6036, 17, 2641, {1, 3, 1, 5, 9, 37, 13, 203, 141, 573, 745, 2613, 5589, 607, 24483, 38427, 95775}},
{6037, 17, 2644, {1, 1, 3, 1, 23, 61, 75, 57, 299, 191, 805, 2993, 5175, 12037, 13649, 58831, 48791}},
{6038, 17, 2663, {1, 3, 7, 13, 31, 57, 13, 219, 185, 717, 1607, 3785, 4719, 11583, 29285, 48207, 92021}},
{6039, 17, 2667, {1, 3, 7, 15, 23, 35, 23, 69, 411, 773, 1549, 1087, 1685, 15703, 27193, 62675, 43505}},
{6040, 17, 2669, {1, 1, 5, 3, 25, 19, 97, 75, 493, 549, 1655, 2881, 4989, 2765, 4797, 43143, 113955}},
{6041, 17, 2672, {1, 1, 5, 7, 21, 5, 65, 37, 383, 133, 1907, 3747, 1525, 5803, 19977, 50551, 23157}},
{6042, 17, 2687, {1, 1, 1, 11, 15, 61, 59, 109, 489, 901, 1787, 1611, 6101, 10653, 3071, 35643, 56227}},
{6043, 17, 2700, {1, 3, 1, 5, 15, 25, 121, 111, 25, 251, 1467, 1795, 1631, 13753, 32391, 14831, 90739}},
{6044, 17, 2705, {1, 1, 1, 13, 23, 55, 119, 147, 45, 871, 1389, 1929, 1023, 16131, 10041, 40055, 23337}},
{6045, 17, 2724, {1, 3, 1, 15, 27, 33, 23, 41, 463, 603, 1633, 3445, 2007, 5999, 11175, 18343, 13159}},
{6046, 17, 2728, {1, 3, 1, 9, 17, 15, 107, 63, 493, 411, 293, 3669, 6143, 3057, 8253, 25491, 58907}},
{6047, 17, 2733, {1, 3, 5, 11, 1, 43, 5, 117, 127, 813, 1881, 3711, 2567, 7819, 5809, 64471, 104221}},
{6048, 17, 2741, {1, 3, 5, 9, 25, 27, 49, 93, 77, 705, 1773, 1745, 4605, 16137, 14621, 62893, 81637}},
{6049, 17, 2748, {1, 3, 1, 15, 9, 29, 41, 101, 291, 763, 1475, 3185, 3661, 10351, 26645, 50375, 59373}},
{6050, 17, 2751, {1, 1, 5, 15, 9, 31, 107, 159, 125, 471, 1023, 2361, 4805, 8073, 21563, 14903, 77801}},
{6051, 17, 2756, {1, 3, 7, 1, 27, 17, 75, 129, 71, 697, 551, 1969, 6597, 13821, 2605, 61783, 74791}},
{6052, 17, 2771, {1, 1, 7, 15, 17, 27, 49, 47, 59, 47, 1671, 2535, 1299, 2387, 24349, 23661, 91123}},
{6053, 17, 2774, {1, 1, 5, 15, 21, 61, 45, 37, 415, 189, 143, 351, 1815, 3479, 2399, 56753, 123893}},
{6054, 17, 2793, {1, 1, 3, 7, 7, 19, 93, 249, 335, 305, 1437, 1329, 2693, 13201, 9589, 61513, 115995}},
{6055, 17, 2796, {1, 1, 1, 11, 21, 57, 33, 205, 235, 253, 751, 259, 6029, 9811, 10231, 36899, 78035}},
{6056, 17, 2804, {1, 1, 1, 11, 13, 25, 115, 195, 111, 913, 1851, 3283, 6083, 11717, 2773, 40727, 493}},
{6057, 17, 2814, {1, 3, 3, 9, 9, 17, 83, 137, 465, 671, 1277, 325, 2767, 12413, 21977, 47525, 23041}},
{6058, 17, 2822, {1, 1, 1, 11, 15, 47, 65, 219, 271, 197, 297, 3195, 1325, 9991, 26385, 46055, 43151}},
{6059, 17, 2845, {1, 1, 1, 13, 31, 21, 39, 89, 127, 629, 367, 2935, 6259, 6627, 15691, 55781, 97251}},
{6060, 17, 2846, {1, 1, 7, 13, 11, 45, 65, 75, 211, 785, 1221, 2087, 7751, 15619, 25489, 28195, 69007}},
{6061, 17, 2850, {1, 3, 5, 15, 27, 37, 75, 111, 487, 219, 233, 583, 6433, 15105, 355, 28331, 21105}},
{6062, 17, 2855, {1, 3, 3, 15, 31, 53, 33, 95, 27, 197, 1727, 1467, 7115, 15479, 26873, 31075, 12793}},
{6063, 17, 2856, {1, 3, 7, 1, 19, 3, 19, 105, 225, 599, 737, 107, 7951, 10193, 31699, 59207, 85619}},
{6064, 17, 2867, {1, 3, 1, 3, 7, 17, 73, 191, 247, 421, 537, 1473, 189, 4219, 29993, 25491, 21189}},
{6065, 17, 2891, {1, 3, 7, 7, 13, 21, 33, 95, 147, 699, 943, 2275, 4093, 6067, 9063, 25503, 111085}},
{6066, 17, 2894, {1, 1, 7, 9, 13, 47, 123, 121, 347, 467, 225, 957, 2329, 14075, 29843, 61753, 97179}},
{6067, 17, 2902, {1, 3, 3, 7, 17, 55, 37, 167, 215, 819, 163, 1747, 4485, 15991, 28011, 36351, 106495}},
{6068, 17, 2908, {1, 1, 3, 9, 25, 5, 83, 199, 209, 395, 1757, 1967, 5739, 2573, 13989, 32145, 4847}},
{6069, 17, 2951, {1, 3, 3, 13, 11, 21, 25, 223, 239, 569, 1877, 299, 8089, 3697, 801, 64775, 26827}},
{6070, 17, 2970, {1, 3, 5, 7, 17, 9, 127, 9, 65, 919, 1073, 2661, 1337, 10065, 30099, 30929, 90067}},
{6071, 17, 2972, {1, 3, 1, 13, 25, 41, 35, 251, 279, 351, 111, 3917, 2815, 7989, 9895, 54859, 126355}},
{6072, 17, 2975, {1, 1, 3, 7, 17, 61, 13, 73, 335, 831, 703, 37, 2765, 13169, 12513, 56301, 13907}},
{6073, 17, 2976, {1, 1, 5, 13, 11, 15, 33, 45, 505, 127, 1723, 17, 4927, 11453, 28859, 9671, 80041}},
{6074, 17, 2981, {1, 3, 1, 5, 9, 1, 25, 147, 281, 601, 243, 2687, 5533, 6725, 11075, 34807, 24619}},
{6075, 17, 2986, {1, 1, 3, 1, 7, 21, 71, 31, 485, 561, 1361, 1237, 8171, 15885, 7941, 4583, 32851}},
{6076, 17, 2999, {1, 3, 7, 1, 5, 35, 95, 155, 283, 959, 577, 1343, 4269, 13481, 30819, 40273, 8711}},
{6077, 17, 3000, {1, 3, 7, 3, 1, 53, 77, 45, 215, 537, 1045, 77, 2791, 3553, 13273, 23819, 62263}},
{6078, 17, 3006, {1, 3, 1, 15, 29, 59, 7, 145, 85, 3, 251, 2691, 7547, 11241, 32295, 24645, 75739}},
{6079, 17, 3014, {1, 1, 5, 9, 19, 9, 39, 163, 303, 233, 2039, 2027, 7169, 2773, 28649, 38317, 66761}},
{6080, 17, 3028, {1, 3, 7, 5, 21, 27, 93, 227, 131, 1019, 1619, 1497, 4043, 1131, 25761, 20173, 99957}},
{6081, 17, 3031, {1, 3, 7, 5, 19, 33, 15, 173, 435, 399, 531, 2001, 3221, 12627, 10153, 24421, 61805}},
{6082, 17, 3035, {1, 3, 1, 9, 11, 3, 69, 105, 289, 183, 1103, 831, 2297, 1613, 18801, 54395, 54243}},
{6083, 17, 3037, {1, 3, 3, 9, 3, 53, 113, 183, 79, 355, 1629, 1061, 3713, 4563, 14365, 43529, 56073}},
{6084, 17, 3053, {1, 3, 7, 11, 31, 39, 107, 139, 187, 873, 225, 33, 4943, 15837, 225, 6407, 85967}},
{6085, 17, 3059, {1, 3, 1, 11, 17, 47, 93, 233, 119, 699, 1429, 2845, 2061, 8887, 20665, 45497, 33107}},
{6086, 17, 3065, {1, 3, 5, 1, 25, 11, 55, 75, 91, 1009, 1887, 3167, 515, 15929, 11659, 57953, 63401}},
{6087, 17, 3080, {1, 1, 3, 15, 27, 59, 103, 53, 353, 553, 2021, 1543, 2785, 9373, 14609, 21213, 19911}},
{6088, 17, 3091, {1, 3, 7, 9, 3, 1, 101, 133, 437, 773, 1399, 1067, 7419, 1793, 16589, 3483, 42065}},
{6089, 17, 3094, {1, 3, 7, 1, 25, 57, 127, 113, 65, 577, 1865, 1527, 6485, 11273, 15803, 39625, 75219}},
{6090, 17, 3109, {1, 3, 5, 9, 7, 63, 29, 89, 155, 45, 1029, 2407, 6783, 4749, 4849, 26639, 54059}},
{6091, 17, 3110, {1, 3, 7, 9, 25, 13, 113, 41, 267, 767, 1071, 1689, 269, 14437, 21255, 39473, 65771}},
{6092, 17, 3113, {1, 3, 1, 15, 5, 3, 77, 43, 391, 763, 59, 1027, 6263, 3715, 31061, 43311, 130725}},
{6093, 17, 3116, {1, 3, 7, 7, 21, 51, 127, 71, 229, 171, 397, 1099, 871, 2717, 1643, 17363, 125979}},
{6094, 17, 3136, {1, 1, 5, 15, 25, 11, 11, 113, 203, 795, 1703, 3901, 1113, 12819, 25345, 46691, 112313}},
{6095, 17, 3139, {1, 3, 7, 5, 1, 59, 91, 81, 325, 483, 595, 1491, 7455, 6699, 199, 35597, 59851}},
{6096, 17, 3141, {1, 3, 5, 1, 3, 33, 43, 195, 201, 575, 1395, 1305, 7001, 2023, 22419, 15233, 120355}},
{6097, 17, 3154, {1, 1, 3, 3, 15, 37, 81, 59, 87, 675, 199, 3231, 4473, 5023, 16753, 51475, 102113}},
{6098, 17, 3160, {1, 1, 7, 9, 13, 39, 65, 9, 51, 565, 1171, 119, 7875, 12149, 6565, 56849, 123235}},
{6099, 17, 3169, {1, 3, 3, 7, 15, 45, 53, 93, 111, 533, 1849, 643, 2265, 10241, 24741, 11559, 74333}},
{6100, 17, 3182, {1, 3, 1, 1, 11, 61, 75, 51, 5, 199, 535, 279, 5821, 6005, 2907, 32521, 74121}},
{6101, 17, 3187, {1, 1, 3, 15, 3, 21, 29, 193, 71, 993, 1719, 1865, 6135, 7683, 12171, 29275, 14539}},
{6102, 17, 3189, {1, 1, 1, 7, 7, 13, 1, 61, 315, 431, 1145, 2067, 5745, 1641, 1047, 55111, 129477}},
{6103, 17, 3190, {1, 1, 5, 1, 21, 43, 115, 193, 153, 573, 1181, 3947, 7809, 11317, 30649, 56891, 47741}},
{6104, 17, 3203, {1, 1, 5, 7, 19, 15, 61, 239, 109, 683, 395, 2869, 3103, 1531, 12019, 45159, 37525}},
{6105, 17, 3217, {1, 1, 5, 7, 29, 55, 45, 7, 353, 659, 591, 3371, 5777, 8475, 2743, 47483, 11983}},
{6106, 17, 3229, {1, 3, 1, 3, 13, 17, 39, 195, 43, 5, 1749, 2559, 5843, 8719, 21421, 58511, 105637}},
{6107, 17, 3236, {1, 3, 5, 5, 5, 21, 29, 63, 387, 301, 567, 3325, 2109, 403, 23053, 24851, 14493}},
{6108, 17, 3248, {1, 1, 3, 3, 17, 57, 107, 131, 85, 855, 1101, 3199, 7159, 14739, 4197, 27943, 113009}},
{6109, 17, 3257, {1, 1, 3, 11, 1, 61, 31, 79, 33, 123, 1509, 507, 6679, 2279, 8465, 37279, 17553}},
{6110, 17, 3278, {1, 3, 1, 15, 7, 33, 11, 71, 217, 609, 1661, 3437, 5497, 13365, 6247, 649, 26407}},
{6111, 17, 3283, {1, 1, 3, 1, 19, 45, 49, 125, 5, 455, 1669, 4083, 253, 10101, 27327, 16401, 120399}},
{6112, 17, 3289, {1, 3, 1, 1, 27, 19, 117, 137, 261, 341, 1697, 457, 7553, 12169, 30049, 49281, 36937}},
{6113, 17, 3292, {1, 1, 1, 3, 9, 49, 33, 13, 461, 545, 1537, 2623, 883, 10921, 5583, 58997, 114183}},
{6114, 17, 3302, {1, 1, 7, 9, 29, 53, 29, 165, 205, 989, 1347, 2343, 7505, 7609, 18503, 51677, 105993}},
{6115, 17, 3316, {1, 1, 1, 13, 1, 29, 59, 121, 297, 659, 1965, 1765, 5255, 10971, 32613, 18763, 41983}},
{6116, 17, 3328, {1, 3, 7, 11, 21, 41, 19, 47, 125, 485, 475, 2745, 4075, 8101, 31227, 4679, 115473}},
{6117, 17, 3333, {1, 3, 3, 7, 21, 23, 55, 65, 223, 1001, 317, 1459, 183, 5139, 26553, 41471, 116373}},
{6118, 17, 3337, {1, 1, 7, 3, 1, 9, 29, 139, 343, 913, 1993, 3139, 3791, 5869, 6057, 23863, 35737}},
{6119, 17, 3340, {1, 3, 3, 3, 7, 21, 77, 197, 239, 467, 35, 591, 1061, 3417, 31811, 38825, 124981}},
{6120, 17, 3368, {1, 3, 3, 1, 21, 29, 5, 213, 417, 111, 1681, 1409, 2899, 16233, 1053, 51235, 87767}},
{6121, 17, 3371, {1, 1, 5, 3, 13, 47, 61, 203, 223, 73, 1947, 3613, 5885, 13567, 7593, 34329, 68597}},
{6122, 17, 3376, {1, 3, 1, 1, 17, 9, 11, 187, 361, 973, 781, 1835, 1539, 12917, 21725, 48279, 115037}},
{6123, 17, 3385, {1, 3, 1, 1, 9, 25, 117, 157, 433, 395, 403, 2183, 3327, 5427, 7505, 2673, 77137}},
{6124, 17, 3386, {1, 1, 7, 15, 31, 15, 27, 155, 441, 837, 1877, 3829, 5139, 16331, 31183, 15803, 95699}},
{6125, 17, 3393, {1, 1, 7, 15, 5, 51, 77, 179, 289, 727, 1763, 2529, 6715, 3967, 29267, 27293, 67953}},
{6126, 17, 3399, {1, 3, 7, 13, 7, 3, 3, 17, 311, 547, 1465, 1413, 3937, 2725, 24523, 12321, 109763}},
{6127, 17, 3405, {1, 3, 5, 15, 9, 5, 87, 135, 281, 97, 2021, 1903, 8007, 10321, 27989, 18993, 110407}},
{6128, 17, 3414, {1, 1, 1, 13, 25, 61, 89, 107, 233, 823, 1375, 3531, 1757, 1577, 29457, 1461, 17217}},
{6129, 17, 3433, {1, 1, 1, 13, 17, 17, 27, 193, 485, 759, 145, 3943, 4183, 14119, 11217, 3793, 1935}},
{6130, 17, 3436, {1, 1, 1, 3, 13, 31, 101, 227, 311, 363, 1925, 1525, 5275, 2385, 15093, 48769, 121189}},
{6131, 17, 3448, {1, 1, 5, 13, 11, 61, 89, 141, 117, 229, 417, 3935, 7249, 13869, 30591, 62763, 67521}},
{6132, 17, 3467, {1, 1, 3, 15, 7, 59, 105, 239, 453, 221, 1101, 395, 2031, 8941, 23155, 7077, 125593}},
{6133, 17, 3469, {1, 1, 1, 11, 7, 55, 99, 31, 305, 371, 1035, 577, 4473, 577, 371, 46093, 69157}},
{6134, 17, 3472, {1, 3, 1, 9, 9, 33, 35, 245, 95, 47, 1623, 2965, 6849, 7269, 5321, 31641, 73321}},
{6135, 17, 3477, {1, 1, 1, 15, 21, 61, 65, 65, 159, 151, 625, 2281, 2993, 1311, 29757, 24703, 71029}},
{6136, 17, 3484, {1, 3, 5, 15, 29, 59, 29, 69, 351, 901, 631, 3501, 7031, 703, 20805, 36437, 94931}},
{6137, 17, 3494, {1, 3, 7, 1, 21, 11, 19, 125, 237, 807, 1651, 2389, 7347, 11759, 27151, 38669, 965}},
{6138, 17, 3505, {1, 1, 5, 1, 15, 41, 1, 105, 89, 127, 895, 29, 2339, 15951, 18633, 2781, 67269}},
{6139, 17, 3515, {1, 1, 5, 15, 25, 7, 3, 33, 375, 447, 203, 2579, 6145, 14015, 9939, 52777, 123181}},
{6140, 17, 3523, {1, 3, 1, 15, 29, 7, 7, 27, 451, 869, 107, 2457, 5557, 11601, 28957, 36181, 41419}},
{6141, 17, 3530, {1, 1, 1, 7, 1, 57, 33, 213, 329, 763, 815, 169, 623, 155, 20529, 20603, 73311}},
{6142, 17, 3543, {1, 3, 5, 7, 25, 21, 7, 217, 159, 89, 1373, 1735, 705, 4093, 13083, 3855, 55875}},
{6143, 17, 3559, {1, 3, 1, 1, 29, 33, 105, 127, 95, 543, 235, 67, 691, 5015, 22139, 18251, 89945}},
{6144, 17, 3568, {1, 1, 3, 11, 27, 53, 105, 83, 337, 331, 1571, 1145, 745, 1845, 17881, 17697, 88139}},
{6145, 17, 3577, {1, 3, 7, 15, 19, 37, 119, 35, 35, 463, 1925, 1665, 673, 12193, 12137, 62371, 10957}},
{6146, 17, 3578, {1, 3, 3, 3, 19, 21, 113, 29, 459, 467, 623, 2661, 857, 16265, 27509, 46555, 18867}},
{6147, 17, 3594, {1, 3, 7, 5, 17, 49, 123, 41, 85, 673, 41, 1871, 7649, 8687, 28269, 64423, 93675}},
{6148, 17, 3601, {1, 3, 3, 3, 7, 23, 101, 171, 181, 527, 65, 2387, 6629, 6089, 17387, 46551, 36143}},
{6149, 17, 3607, {1, 1, 5, 1, 13, 51, 21, 251, 139, 429, 1993, 3767, 1089, 5459, 19407, 41747, 41033}},
{6150, 17, 3608, {1, 1, 1, 11, 15, 9, 81, 91, 73, 969, 1513, 2067, 7959, 2605, 26641, 37631, 124571}},
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{7831, 17, 17947, {1, 3, 7, 3, 7, 17, 31, 155, 89, 835, 1015, 2019, 3973, 7087, 16899, 29591, 40797}},
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{7863, 17, 18204, {1, 3, 5, 1, 13, 63, 87, 65, 507, 277, 339, 3637, 6289, 719, 9383, 38887, 55061}},
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{7882, 17, 18372, {1, 3, 7, 15, 1, 59, 87, 121, 43, 475, 1589, 1267, 1501, 1585, 31705, 33959, 27247}},
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{7897, 17, 18519, {1, 3, 3, 9, 27, 33, 87, 97, 231, 895, 1337, 829, 47, 8481, 14059, 57209, 109159}},
{7898, 17, 18547, {1, 3, 7, 1, 25, 5, 41, 161, 393, 523, 1623, 3761, 1933, 8319, 17309, 46717, 97299}},
{7899, 17, 18569, {1, 1, 1, 11, 5, 55, 19, 191, 41, 791, 1611, 59, 2633, 13873, 25859, 42879, 54807}},
{7900, 17, 18575, {1, 3, 1, 11, 11, 33, 5, 13, 199, 411, 895, 759, 2735, 16225, 31469, 24081, 31857}},
{7901, 17, 18589, {1, 1, 7, 13, 27, 57, 21, 191, 389, 977, 1013, 3493, 6401, 15957, 23181, 52461, 41853}},
{7902, 17, 18590, {1, 3, 7, 5, 23, 19, 117, 117, 427, 923, 1347, 3099, 247, 8879, 5309, 53277, 100625}},
{7903, 17, 18605, {1, 1, 5, 13, 11, 23, 69, 37, 119, 329, 1935, 2851, 5127, 6907, 24651, 11135, 118287}},
{7904, 17, 18611, {1, 1, 3, 15, 23, 1, 69, 107, 253, 771, 1697, 4035, 3219, 15011, 6995, 19255, 39909}},
{7905, 17, 18625, {1, 3, 1, 1, 5, 21, 35, 173, 407, 603, 27, 3589, 2879, 2755, 17679, 6145, 95989}},
{7906, 17, 18652, {1, 1, 5, 13, 31, 23, 61, 139, 341, 593, 1673, 4031, 4809, 1107, 22657, 29073, 53401}},
{7907, 17, 18665, {1, 3, 1, 15, 13, 37, 39, 61, 443, 417, 1125, 1529, 1943, 7317, 2985, 50285, 107069}},
{7908, 17, 18673, {1, 1, 3, 9, 5, 51, 87, 91, 31, 491, 1455, 1685, 2579, 6023, 10989, 64635, 130147}},
{7909, 17, 18674, {1, 3, 5, 5, 31, 23, 15, 163, 357, 161, 1597, 1571, 5039, 13213, 32221, 4405, 88079}},
{7910, 17, 18683, {1, 1, 1, 15, 13, 43, 7, 109, 243, 389, 683, 2671, 8003, 4187, 6507, 11171, 116727}},
{7911, 17, 18688, {1, 3, 7, 1, 17, 31, 53, 5, 227, 755, 1755, 2939, 1789, 8951, 16777, 30203, 79005}},
{7912, 17, 18691, {1, 3, 3, 9, 27, 5, 111, 241, 89, 333, 371, 1035, 5719, 2433, 29343, 50829, 25131}},
{7913, 17, 18698, {1, 1, 3, 13, 7, 37, 125, 69, 79, 397, 1595, 123, 255, 2257, 10881, 27085, 99411}},
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{7921, 17, 18796, {1, 3, 7, 15, 21, 29, 109, 35, 307, 847, 777, 3457, 7899, 17, 24065, 10517, 35651}},
{7922, 17, 18799, {1, 1, 7, 9, 25, 35, 49, 131, 377, 429, 1773, 2107, 6305, 15209, 9567, 17685, 5599}},
{7923, 17, 18807, {1, 1, 3, 11, 13, 27, 47, 125, 483, 229, 921, 2733, 2217, 2615, 24135, 28759, 109411}},
{7924, 17, 18813, {1, 3, 1, 7, 19, 45, 23, 195, 445, 955, 853, 2877, 6889, 9507, 2009, 18747, 50545}},
{7925, 17, 18817, {1, 1, 1, 5, 15, 35, 75, 177, 145, 683, 309, 893, 4999, 827, 26563, 30819, 111115}},
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{7928, 17, 18829, {1, 1, 5, 13, 1, 37, 23, 171, 13, 309, 239, 2023, 6233, 8751, 11371, 5825, 77355}},
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{7930, 17, 18842, {1, 3, 5, 5, 23, 1, 67, 147, 27, 121, 1369, 569, 1519, 11585, 18193, 30889, 78055}},
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{7932, 17, 18853, {1, 3, 3, 5, 17, 35, 107, 235, 471, 735, 1093, 1007, 567, 173, 9623, 39533, 56455}},
{7933, 17, 18885, {1, 1, 7, 15, 27, 13, 123, 211, 407, 857, 801, 3951, 8153, 4427, 15333, 13217, 92675}},
{7934, 17, 18890, {1, 1, 1, 7, 11, 61, 99, 131, 121, 119, 1483, 1485, 3521, 13163, 24899, 56849, 111943}},
{7935, 17, 18898, {1, 3, 3, 1, 19, 1, 29, 139, 127, 557, 1913, 1487, 1381, 185, 11195, 52499, 45059}},
{7936, 17, 18903, {1, 3, 7, 11, 5, 29, 95, 111, 235, 55, 1101, 2631, 1219, 9867, 22209, 3095, 56793}},
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{7938, 17, 18913, {1, 3, 7, 15, 5, 7, 71, 7, 435, 727, 1611, 135, 1421, 8329, 29995, 64243, 58285}},
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{7948, 17, 18997, {1, 3, 3, 9, 5, 17, 79, 137, 123, 809, 583, 3507, 7559, 2857, 13911, 57083, 8595}},
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{7950, 17, 19004, {1, 1, 7, 15, 19, 35, 35, 37, 197, 245, 799, 3971, 277, 11289, 20111, 13857, 104571}},
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{7954, 17, 19043, {1, 3, 5, 1, 13, 49, 73, 107, 225, 243, 1253, 3503, 735, 2605, 27165, 45467, 93001}},
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{7961, 17, 19109, {1, 3, 3, 7, 27, 53, 25, 137, 175, 155, 1843, 2253, 4797, 4989, 32613, 55779, 91625}},
{7962, 17, 19113, {1, 3, 3, 11, 1, 5, 21, 233, 295, 675, 47, 2995, 8075, 8201, 3845, 23925, 82559}},
{7963, 17, 19116, {1, 1, 3, 7, 31, 53, 93, 21, 307, 709, 9, 3061, 3935, 11009, 13411, 3657, 30251}},
{7964, 17, 19127, {1, 3, 7, 13, 13, 25, 51, 205, 391, 897, 275, 333, 6831, 9383, 16101, 14301, 99101}},
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{7967, 17, 19179, {1, 1, 5, 5, 31, 55, 69, 9, 477, 91, 1705, 1877, 5463, 15401, 13449, 27541, 125521}},
{7968, 17, 19193, {1, 1, 7, 15, 15, 33, 11, 233, 69, 771, 845, 2715, 5293, 10351, 19557, 15319, 36857}},
{7969, 17, 19194, {1, 3, 7, 7, 15, 9, 123, 47, 165, 739, 361, 1675, 2743, 8021, 10241, 48275, 51935}},
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{7971, 17, 19208, {1, 3, 7, 13, 1, 31, 15, 63, 463, 621, 935, 1093, 6043, 14051, 13665, 43413, 104893}},
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{7974, 17, 19226, {1, 3, 5, 11, 11, 1, 89, 227, 425, 623, 1605, 1901, 7933, 7211, 16301, 3403, 59651}},
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{7976, 17, 19242, {1, 3, 7, 9, 1, 17, 51, 233, 507, 783, 459, 1187, 7281, 15809, 27637, 6067, 125877}},
{7977, 17, 19264, {1, 3, 1, 3, 13, 57, 5, 199, 261, 357, 1255, 1849, 8013, 10313, 9375, 1271, 64117}},
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{9956, 17, 35970, {1, 1, 3, 15, 21, 53, 25, 239, 257, 437, 711, 3599, 5441, 7405, 15039, 19207, 63841}},
{9957, 17, 35984, {1, 3, 1, 9, 17, 41, 43, 231, 413, 747, 1447, 1407, 2615, 14529, 10781, 20001, 82713}},
{9958, 17, 35996, {1, 3, 7, 7, 9, 29, 25, 55, 53, 423, 1711, 2871, 2675, 421, 31703, 57099, 2955}},
{9959, 17, 36005, {1, 3, 1, 7, 31, 17, 113, 83, 387, 611, 1815, 2137, 3453, 4409, 20377, 60263, 81205}},
{9960, 17, 36012, {1, 1, 5, 3, 11, 1, 7, 225, 367, 267, 95, 939, 3801, 2619, 1207, 62695, 116407}},
{9961, 17, 36015, {1, 3, 3, 9, 5, 39, 85, 45, 247, 483, 491, 865, 3493, 8243, 8411, 26449, 50473}},
{9962, 17, 36030, {1, 3, 3, 9, 1, 53, 23, 127, 13, 529, 1925, 2629, 3451, 15073, 16075, 29909, 34101}},
{9963, 17, 36035, {1, 3, 1, 11, 1, 9, 125, 57, 79, 633, 979, 3843, 325, 883, 7769, 40155, 104057}},
{9964, 17, 36042, {1, 1, 7, 13, 23, 53, 27, 157, 493, 901, 1077, 1079, 1327, 15903, 20603, 64377, 103335}},
{9965, 17, 36047, {1, 3, 3, 3, 3, 35, 37, 167, 73, 301, 385, 1045, 6913, 2269, 22491, 19735, 70125}},
{9966, 17, 36049, {1, 1, 1, 11, 5, 23, 23, 85, 267, 845, 207, 77, 1245, 16209, 25579, 12417, 48723}},
{9967, 17, 36059, {1, 1, 5, 15, 11, 17, 43, 83, 373, 1005, 541, 115, 163, 2165, 8181, 35839, 44471}},
{9968, 17, 36071, {1, 3, 5, 7, 27, 41, 101, 13, 213, 235, 2037, 2179, 2121, 4481, 8127, 20011, 3981}},
{9969, 17, 36080, {1, 1, 5, 11, 7, 43, 59, 129, 127, 387, 489, 1985, 623, 13307, 19765, 62155, 93271}},
{9970, 17, 36085, {1, 1, 7, 5, 23, 63, 23, 177, 211, 233, 101, 1809, 7411, 8003, 25101, 32601, 75071}},
{9971, 17, 36097, {1, 1, 1, 11, 3, 25, 9, 91, 459, 611, 867, 3639, 5457, 9101, 15333, 40069, 67723}},
{9972, 17, 36110, {1, 3, 7, 5, 3, 29, 111, 75, 459, 195, 1405, 2281, 6085, 4425, 29061, 57335, 87449}},
{9973, 17, 36115, {1, 3, 7, 11, 21, 45, 53, 81, 77, 863, 1901, 3355, 5253, 10897, 26289, 48399, 26877}},
{9974, 17, 36118, {1, 3, 3, 13, 21, 37, 69, 87, 259, 101, 1203, 167, 6229, 145, 9355, 15347, 68047}},
{9975, 17, 36124, {1, 1, 3, 1, 31, 1, 15, 229, 429, 915, 929, 381, 1857, 8441, 22207, 47071, 127853}},
{9976, 17, 36137, {1, 3, 7, 3, 15, 9, 13, 161, 173, 573, 405, 3253, 7331, 13965, 3061, 40687, 130185}},
{9977, 17, 36138, {1, 3, 5, 5, 29, 29, 9, 115, 393, 377, 909, 321, 2861, 9881, 17863, 52033, 55133}},
{9978, 17, 36155, {1, 1, 7, 7, 27, 53, 101, 213, 199, 301, 1995, 2549, 5037, 13639, 18423, 23547, 79359}},
{9979, 17, 36160, {1, 3, 1, 7, 21, 51, 29, 151, 301, 665, 571, 53, 2637, 7229, 12517, 33647, 49413}},
{9980, 17, 36189, {1, 3, 3, 13, 13, 49, 49, 131, 325, 273, 1127, 2981, 2365, 14287, 23185, 26915, 81755}},
{9981, 17, 36190, {1, 1, 5, 3, 17, 45, 25, 79, 37, 265, 1205, 1805, 6707, 11525, 16473, 39525, 9571}},
{9982, 17, 36203, {1, 3, 3, 15, 9, 43, 55, 101, 469, 939, 365, 3443, 5759, 4751, 28893, 46727, 74569}},
{9983, 17, 36211, {1, 3, 7, 9, 5, 33, 11, 201, 263, 227, 1475, 2795, 1489, 11129, 18053, 31009, 73105}},
{9984, 17, 36218, {1, 3, 5, 5, 5, 25, 41, 151, 393, 237, 2017, 3811, 953, 13835, 28761, 22439, 76355}},
{9985, 17, 36230, {1, 1, 5, 13, 21, 37, 29, 11, 289, 67, 1317, 511, 685, 15227, 8731, 15039, 79491}},
{9986, 17, 36241, {1, 3, 1, 9, 31, 59, 123, 169, 473, 139, 575, 1057, 3213, 8213, 21845, 28123, 105335}},
{9987, 17, 36244, {1, 1, 1, 5, 21, 47, 23, 121, 403, 5, 1457, 2137, 569, 9267, 6367, 6991, 3113}},
{9988, 17, 36253, {1, 3, 3, 7, 13, 7, 25, 215, 81, 1003, 2041, 1317, 3913, 14705, 30551, 50889, 83441}},
{9989, 17, 36257, {1, 3, 3, 3, 13, 17, 63, 229, 83, 901, 953, 2603, 4685, 6961, 7519, 52441, 33223}},
{9990, 17, 36264, {1, 3, 7, 5, 7, 57, 65, 73, 243, 531, 261, 2517, 4083, 5889, 22913, 49603, 67135}},
{9991, 17, 36272, {1, 3, 5, 11, 15, 47, 81, 83, 35, 1021, 1313, 1109, 5103, 5469, 18149, 15307, 34939}},
{9992, 17, 36290, {1, 3, 7, 5, 21, 13, 105, 157, 435, 23, 931, 3565, 1, 4987, 8829, 7327, 51049}},
{9993, 17, 36292, {1, 1, 3, 11, 29, 9, 59, 49, 261, 1009, 1953, 2683, 8125, 10937, 16683, 36013, 5967}},
{9994, 17, 36301, {1, 1, 1, 1, 19, 29, 57, 9, 307, 457, 675, 3023, 495, 15257, 7945, 10449, 30155}},
{9995, 17, 36309, {1, 1, 7, 13, 25, 9, 51, 135, 491, 205, 1715, 3253, 1031, 4137, 14885, 39925, 6061}},
{9996, 17, 36313, {1, 1, 7, 7, 3, 13, 111, 91, 469, 133, 1221, 1035, 919, 3697, 26387, 41675, 487}},
{9997, 17, 36316, {1, 1, 3, 1, 19, 53, 11, 113, 245, 747, 189, 4051, 87, 1767, 3595, 10259, 100097}},
{9998, 17, 36319, {1, 1, 5, 3, 23, 49, 31, 47, 341, 1019, 723, 2353, 6191, 3809, 3297, 39443, 73529}},
{9999, 17, 36330, {1, 3, 3, 9, 25, 27, 123, 49, 51, 85, 1063, 2633, 6549, 14493, 7367, 3557, 60651}},
{10000, 17, 36335, {1, 3, 7, 5, 13, 27, 127, 65, 115, 731, 1147, 283, 91, 14205, 2457, 57083, 35815}},
{10001, 17, 36347, {1, 3, 3, 3, 25, 63, 99, 249, 25, 951, 733, 3621, 7139, 14223, 23641, 20287, 30743}},
{10002, 17, 36353, {1, 3, 3, 7, 21, 23, 83, 207, 235, 467, 1857, 2661, 1391, 10097, 12297, 54825, 5035}},
{10003, 17, 36356, {1, 1, 5, 3, 31, 17, 77, 9, 215, 553, 989, 3643, 729, 2057, 32053, 50305, 5499}},
{10004, 17, 36368, {1, 1, 7, 1, 23, 5, 111, 195, 431, 947, 403, 1781, 943, 15073, 67, 52225, 98987}},
{10005, 17, 36374, {1, 1, 5, 11, 23, 1, 41, 33, 457, 767, 275, 801, 5119, 3781, 14805, 52789, 41775}},
{10006, 17, 36377, {1, 1, 5, 3, 9, 53, 15, 183, 281, 691, 165, 3277, 7673, 1509, 16605, 53799, 100185}},
{10007, 17, 36384, {1, 3, 5, 11, 19, 45, 29, 159, 167, 67, 1259, 879, 7787, 8855, 24153, 42667, 102855}},
{10008, 17, 36407, {1, 1, 7, 13, 31, 19, 43, 133, 295, 287, 1985, 2451, 2297, 3853, 22401, 27659, 11149}},
{10009, 17, 36413, {1, 1, 7, 13, 31, 39, 125, 21, 173, 103, 1119, 3739, 6467, 2113, 4465, 26537, 129949}},
{10010, 17, 36419, {1, 1, 5, 15, 21, 47, 35, 125, 199, 335, 421, 31, 185, 12769, 30659, 33427, 106981}},
{10011, 17, 36425, {1, 3, 5, 13, 25, 35, 53, 253, 325, 921, 1705, 2735, 6437, 2287, 20479, 61107, 91453}},
{10012, 17, 36426, {1, 3, 7, 13, 25, 63, 83, 183, 5, 401, 329, 525, 3141, 393, 30469, 16529, 9605}},
{10013, 17, 36446, {1, 3, 3, 13, 19, 23, 15, 85, 323, 545, 149, 3645, 6269, 15595, 18453, 39, 128169}},
{10014, 17, 36461, {1, 3, 7, 15, 17, 5, 61, 61, 91, 353, 1039, 2959, 4147, 13205, 12599, 53281, 39509}},
{10015, 17, 36467, {1, 1, 3, 7, 21, 9, 97, 111, 249, 775, 845, 1789, 667, 489, 6689, 29217, 56527}},
{10016, 17, 36474, {1, 3, 5, 7, 11, 5, 59, 219, 29, 803, 923, 3861, 7953, 8969, 1819, 43501, 20513}},
{10017, 17, 36480, {1, 1, 5, 11, 7, 53, 63, 231, 193, 293, 1467, 1409, 6397, 13237, 15903, 19271, 66257}},
{10018, 17, 36486, {1, 3, 1, 15, 23, 15, 37, 123, 189, 63, 1121, 751, 6711, 10095, 6493, 40709, 47641}},
{10019, 17, 36489, {1, 3, 7, 3, 23, 59, 99, 183, 249, 479, 771, 1087, 7979, 409, 4819, 4337, 33345}},
{10020, 17, 36495, {1, 1, 5, 1, 17, 7, 15, 167, 305, 411, 1429, 3127, 23, 9123, 7185, 44405, 114841}},
{10021, 17, 36525, {1, 1, 5, 11, 3, 29, 29, 31, 399, 777, 251, 1841, 3607, 211, 23543, 29111, 54565}},
{10022, 17, 36526, {1, 3, 3, 9, 27, 33, 79, 27, 469, 67, 1327, 183, 5783, 10039, 13165, 20443, 4913}},
{10023, 17, 36533, {1, 3, 7, 15, 21, 23, 5, 227, 141, 1021, 69, 3347, 7221, 13837, 20921, 20525, 32567}},
{10024, 17, 36534, {1, 1, 5, 5, 25, 53, 73, 111, 319, 311, 1597, 1809, 5343, 13963, 6613, 14471, 53871}},
{10025, 17, 36540, {1, 3, 3, 1, 15, 57, 47, 205, 53, 471, 185, 273, 8077, 5031, 31195, 30859, 15979}},
{10026, 17, 36555, {1, 1, 3, 5, 23, 15, 87, 211, 83, 265, 1629, 2979, 69, 12559, 30455, 36363, 61461}},
{10027, 17, 36563, {1, 1, 7, 7, 1, 47, 5, 199, 95, 17, 57, 1887, 6847, 9501, 21361, 57763, 77069}},
{10028, 17, 36565, {1, 1, 3, 5, 9, 15, 15, 149, 141, 605, 639, 2197, 7237, 5753, 9415, 4677, 129947}},
{10029, 17, 36588, {1, 3, 7, 1, 7, 9, 29, 249, 275, 461, 1667, 4093, 5763, 3205, 24079, 11883, 86455}},
{10030, 17, 36593, {1, 1, 3, 5, 15, 39, 117, 145, 153, 671, 1819, 111, 3607, 12279, 4927, 63759, 42905}},
{10031, 17, 36596, {1, 1, 1, 5, 31, 5, 35, 183, 189, 839, 1811, 1877, 6545, 11373, 27947, 27183, 29857}},
{10032, 17, 36606, {1, 3, 5, 7, 29, 47, 3, 183, 511, 145, 1953, 3419, 6385, 7745, 12823, 59783, 69399}},
{10033, 17, 36614, {1, 3, 5, 9, 5, 39, 85, 145, 33, 899, 1009, 2035, 6145, 3855, 20583, 4329, 95231}},
{10034, 17, 36626, {1, 1, 3, 3, 15, 61, 85, 181, 247, 705, 413, 1633, 7489, 1785, 30397, 42851, 80197}},
{10035, 17, 36628, {1, 3, 3, 13, 23, 11, 3, 97, 307, 183, 113, 3881, 7455, 8327, 6749, 23977, 101629}},
{10036, 17, 36641, {1, 1, 7, 13, 1, 23, 59, 219, 125, 789, 1401, 707, 6915, 6275, 25813, 46595, 54119}},
{10037, 17, 36642, {1, 3, 7, 9, 5, 7, 37, 33, 165, 181, 833, 1993, 4541, 5799, 23323, 39825, 44575}},
{10038, 17, 36651, {1, 3, 1, 13, 13, 43, 69, 219, 437, 521, 503, 2293, 3607, 6845, 22583, 291, 65645}},
{10039, 17, 36653, {1, 1, 7, 9, 29, 13, 123, 67, 191, 933, 1875, 1223, 5525, 13797, 29771, 58191, 84469}},
{10040, 17, 36673, {1, 1, 7, 7, 3, 57, 101, 69, 23, 239, 1023, 3289, 1541, 6245, 23379, 161, 61155}},
{10041, 17, 36676, {1, 3, 7, 13, 25, 33, 49, 145, 487, 681, 451, 1719, 109, 16273, 20009, 3003, 115815}},
{10042, 17, 36679, {1, 1, 5, 11, 11, 59, 41, 133, 303, 469, 1975, 847, 5291, 13947, 8759, 8533, 25099}},
{10043, 17, 36694, {1, 1, 1, 1, 29, 31, 53, 11, 239, 57, 1627, 1247, 1577, 3269, 20751, 4627, 40499}},
{10044, 17, 36698, {1, 3, 7, 15, 1, 1, 51, 39, 383, 203, 1841, 3867, 4975, 9937, 1863, 52611, 83189}},
{10045, 17, 36704, {1, 3, 7, 7, 13, 59, 15, 217, 355, 945, 1317, 815, 2413, 10985, 30647, 37745, 126553}},
{10046, 17, 36714, {1, 1, 3, 11, 7, 29, 101, 137, 97, 119, 927, 3269, 6977, 4253, 10741, 61907, 122815}},
{10047, 17, 36721, {1, 3, 3, 1, 29, 5, 49, 137, 411, 349, 905, 2481, 4961, 4513, 29409, 19503, 77915}},
{10048, 17, 36722, {1, 1, 7, 13, 29, 59, 93, 61, 393, 29, 257, 3601, 6281, 5105, 17339, 53827, 83137}},
{10049, 17, 36727, {1, 1, 1, 13, 5, 23, 61, 7, 51, 161, 737, 1549, 6021, 3385, 5539, 21261, 69995}},
{10050, 17, 36749, {1, 1, 1, 15, 31, 1, 21, 113, 481, 7, 175, 717, 1593, 5937, 12347, 51835, 66649}},
{10051, 17, 36758, {1, 1, 3, 7, 9, 51, 9, 199, 39, 607, 1157, 3913, 7767, 14195, 28721, 27655, 34709}},
{10052, 17, 36761, {1, 3, 5, 5, 1, 15, 49, 33, 441, 721, 1749, 1497, 2023, 8351, 12641, 11861, 78545}},
{10053, 17, 36771, {1, 3, 1, 7, 7, 17, 103, 113, 243, 25, 889, 1419, 3163, 12401, 22459, 39037, 101719}},
{10054, 17, 36788, {1, 1, 7, 11, 17, 45, 121, 215, 3, 409, 1871, 2149, 4249, 5071, 14277, 55869, 91233}},
{10055, 17, 36797, {1, 1, 3, 7, 19, 31, 47, 241, 175, 749, 1709, 355, 6037, 10555, 24107, 64683, 42673}},
{10056, 17, 36805, {1, 3, 7, 11, 5, 21, 105, 137, 307, 101, 417, 1903, 1027, 10257, 27767, 9755, 92105}},
{10057, 17, 36830, {1, 1, 3, 13, 9, 59, 11, 63, 295, 923, 401, 1471, 3517, 7761, 28855, 11525, 72455}},
{10058, 17, 36833, {1, 1, 7, 15, 31, 51, 77, 29, 323, 579, 1313, 3441, 2903, 1683, 20605, 8185, 29753}},
{10059, 17, 36839, {1, 1, 5, 15, 11, 59, 119, 109, 233, 1001, 1527, 2709, 73, 5311, 18313, 27155, 85999}},
{10060, 17, 36843, {1, 3, 1, 5, 9, 59, 105, 93, 213, 401, 839, 3225, 3263, 13501, 2413, 60367, 121281}},
{10061, 17, 36860, {1, 1, 7, 3, 19, 25, 75, 27, 325, 435, 527, 1465, 3601, 5785, 6135, 32841, 60129}},
{10062, 17, 36866, {1, 1, 3, 7, 31, 19, 37, 157, 189, 51, 869, 2963, 5269, 9151, 14845, 30441, 89685}},
{10063, 17, 36871, {1, 3, 3, 9, 17, 51, 23, 177, 417, 255, 1739, 3085, 7811, 15177, 25433, 38487, 51021}},
{10064, 17, 36875, {1, 1, 3, 7, 27, 1, 45, 235, 59, 491, 1327, 3967, 7585, 4313, 29669, 47193, 89427}},
{10065, 17, 36877, {1, 1, 3, 9, 19, 5, 27, 63, 263, 593, 1599, 1311, 1029, 603, 25291, 51391, 98915}},
{10066, 17, 36880, {1, 3, 3, 15, 11, 7, 97, 99, 263, 155, 437, 3849, 2665, 3371, 8179, 51883, 3601}},
{10067, 17, 36892, {1, 1, 3, 15, 7, 35, 37, 149, 251, 619, 1423, 553, 4453, 16365, 22543, 6951, 34655}},
{10068, 17, 36911, {1, 3, 3, 11, 15, 21, 95, 143, 31, 425, 179, 2383, 4799, 7655, 26945, 9273, 103469}},
{10069, 17, 36914, {1, 3, 1, 9, 13, 49, 3, 117, 361, 459, 227, 2067, 4909, 13461, 22505, 10259, 59697}},
{10070, 17, 36916, {1, 1, 7, 7, 7, 23, 67, 217, 313, 965, 1747, 995, 579, 6217, 8915, 49329, 851}},
{10071, 17, 36923, {1, 1, 3, 1, 17, 19, 7, 99, 281, 207, 1685, 2401, 967, 9399, 28741, 28839, 6003}},
{10072, 17, 36940, {1, 3, 3, 5, 31, 61, 105, 251, 499, 319, 1167, 2203, 1195, 2663, 11797, 12981, 125523}},
{10073, 17, 36943, {1, 3, 1, 5, 23, 19, 99, 101, 85, 837, 501, 2737, 4051, 2413, 9275, 38995, 21633}},
{10074, 17, 36948, {1, 3, 7, 13, 17, 17, 119, 75, 281, 527, 1477, 1515, 7765, 5573, 10143, 6219, 57817}},
{10075, 17, 36957, {1, 1, 5, 11, 19, 35, 85, 171, 107, 905, 1395, 1199, 7345, 15719, 14021, 47425, 36081}},
{10076, 17, 36958, {1, 1, 3, 9, 9, 63, 109, 15, 323, 73, 1541, 2227, 5197, 12617, 23379, 53415, 105291}},
{10077, 17, 36967, {1, 3, 3, 5, 5, 41, 85, 99, 3, 895, 1383, 3627, 3897, 1893, 23673, 56501, 78411}},
{10078, 17, 36974, {1, 1, 7, 1, 25, 27, 45, 185, 475, 577, 1619, 727, 1407, 2383, 9215, 55295, 27349}},
{10079, 17, 36981, {1, 3, 7, 11, 3, 51, 53, 53, 399, 711, 1075, 511, 5369, 10777, 14419, 63217, 130181}},
{10080, 17, 37001, {1, 1, 7, 13, 25, 19, 107, 71, 151, 73, 735, 3837, 5307, 10229, 10529, 9989, 111925}},
{10081, 17, 37012, {1, 1, 1, 15, 19, 59, 65, 77, 465, 957, 1085, 1359, 3959, 15823, 6273, 12565, 126167}},
{10082, 17, 37015, {1, 1, 5, 5, 31, 53, 23, 173, 407, 795, 41, 3275, 1953, 13673, 26625, 33477, 14149}},
{10083, 17, 37019, {1, 1, 7, 7, 1, 11, 121, 139, 77, 321, 1939, 2597, 621, 9579, 11629, 13119, 30505}},
{10084, 17, 37035, {1, 1, 1, 5, 3, 33, 45, 127, 169, 581, 1521, 1019, 6489, 1069, 2469, 40255, 66619}},
{10085, 17, 37040, {1, 3, 7, 5, 29, 47, 7, 245, 459, 417, 1027, 857, 4905, 11255, 3267, 9491, 78013}},
{10086, 17, 37063, {1, 3, 5, 9, 25, 49, 61, 215, 19, 731, 303, 1001, 6031, 3705, 7797, 31957, 119383}},
{10087, 17, 37064, {1, 3, 5, 5, 1, 9, 37, 187, 235, 453, 963, 2833, 3501, 605, 2763, 41215, 93547}},
{10088, 17, 37069, {1, 3, 1, 1, 21, 3, 41, 53, 425, 687, 1051, 2365, 7835, 3981, 5557, 61993, 127417}},
{10089, 17, 37077, {1, 3, 3, 7, 13, 61, 41, 189, 261, 163, 1931, 1803, 2379, 16379, 25453, 17911, 123431}},
{10090, 17, 37093, {1, 1, 7, 15, 23, 21, 95, 7, 27, 897, 721, 3917, 7971, 4643, 5223, 46583, 32453}},
{10091, 17, 37097, {1, 1, 7, 7, 1, 25, 83, 109, 223, 573, 533, 449, 6477, 10719, 28705, 8283, 94963}},
{10092, 17, 37106, {1, 1, 5, 13, 21, 45, 63, 31, 21, 223, 31, 1249, 425, 7199, 11539, 7731, 44333}},
{10093, 17, 37115, {1, 1, 5, 15, 29, 5, 87, 215, 287, 567, 297, 451, 5867, 15511, 1005, 57469, 87257}},
{10094, 17, 37118, {1, 3, 5, 11, 13, 51, 117, 139, 377, 1015, 1237, 2053, 7625, 1003, 22673, 64345, 16203}},
{10095, 17, 37123, {1, 1, 3, 15, 19, 39, 73, 205, 185, 331, 869, 857, 5043, 7247, 25253, 5799, 64857}},
{10096, 17, 37129, {1, 3, 7, 1, 25, 63, 125, 47, 161, 289, 373, 1603, 1663, 1123, 28907, 37855, 47935}},
{10097, 17, 37130, {1, 1, 7, 15, 9, 17, 97, 63, 79, 123, 1357, 3055, 2323, 16083, 21861, 38743, 81291}},
{10098, 17, 37135, {1, 1, 3, 15, 5, 23, 7, 159, 127, 511, 55, 2691, 6823, 16151, 8059, 43021, 18911}},
{10099, 17, 37137, {1, 1, 3, 9, 27, 19, 41, 75, 375, 921, 1745, 35, 1189, 5857, 29869, 43827, 16899}},
{10100, 17, 37138, {1, 1, 1, 5, 3, 21, 13, 235, 51, 529, 291, 2619, 5419, 12573, 10907, 8865, 54987}},
{10101, 17, 37140, {1, 3, 1, 13, 7, 9, 85, 131, 159, 743, 1671, 3001, 4559, 12343, 27563, 49941, 68447}},
{10102, 17, 37144, {1, 1, 7, 5, 17, 61, 99, 63, 199, 383, 485, 2569, 5329, 645, 18805, 20421, 101229}},
{10103, 17, 37149, {1, 1, 1, 15, 3, 59, 41, 247, 213, 843, 2003, 125, 7755, 4203, 20277, 47195, 48249}},
{10104, 17, 37156, {1, 1, 5, 15, 15, 17, 113, 101, 27, 811, 1791, 1777, 749, 14317, 17267, 54467, 118369}},
{10105, 17, 37159, {1, 3, 3, 3, 19, 37, 23, 117, 275, 733, 1259, 567, 1769, 12071, 5413, 49411, 99259}},
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{10178, 17, 37825, {1, 3, 1, 15, 21, 27, 81, 243, 55, 191, 1497, 3205, 1601, 705, 14891, 14403, 130729}},
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{10180, 17, 37832, {1, 3, 1, 9, 3, 59, 57, 235, 445, 479, 961, 1937, 2229, 2511, 15235, 59707, 72261}},
{10181, 17, 37849, {1, 1, 5, 13, 9, 63, 67, 217, 63, 259, 175, 2469, 3075, 12365, 7727, 42215, 12635}},
{10182, 17, 37856, {1, 1, 3, 13, 11, 9, 125, 131, 17, 399, 675, 767, 7349, 10433, 21615, 46823, 3955}},
{10183, 17, 37861, {1, 1, 3, 15, 19, 53, 73, 171, 125, 531, 1093, 1449, 2931, 10897, 12263, 9799, 98251}},
{10184, 17, 37862, {1, 1, 5, 5, 11, 27, 33, 9, 503, 545, 339, 1099, 1973, 13261, 26871, 14569, 22755}},
{10185, 17, 37886, {1, 3, 7, 1, 19, 5, 79, 133, 247, 1021, 1431, 3707, 4603, 3285, 5469, 46963, 98203}},
{10186, 17, 37893, {1, 3, 5, 7, 15, 11, 87, 169, 495, 763, 1295, 2533, 4213, 8671, 21683, 12521, 90071}},
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{10189, 17, 37936, {1, 1, 5, 5, 5, 51, 117, 17, 363, 795, 1343, 2637, 6209, 1045, 22515, 10687, 48487}},
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{10192, 17, 37956, {1, 1, 3, 3, 7, 25, 61, 159, 81, 1011, 1491, 1439, 1031, 765, 9839, 61891, 20969}},
{10193, 17, 37960, {1, 3, 3, 7, 25, 39, 73, 59, 101, 101, 225, 1105, 5943, 5223, 12585, 16411, 62699}},
{10194, 17, 37971, {1, 1, 7, 5, 25, 19, 27, 113, 465, 319, 2035, 2127, 1319, 11793, 26821, 44805, 28217}},
{10195, 17, 37980, {1, 3, 5, 11, 7, 9, 81, 107, 67, 31, 1503, 3303, 4451, 11417, 32681, 26861, 54845}},
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{10197, 17, 38007, {1, 3, 3, 15, 25, 11, 83, 77, 413, 189, 119, 597, 2199, 12347, 7935, 40191, 125569}},
{10198, 17, 38018, {1, 3, 7, 9, 11, 3, 77, 31, 89, 163, 1993, 3017, 3973, 10943, 22247, 45565, 7261}},
{10199, 17, 38020, {1, 3, 7, 7, 15, 13, 7, 155, 373, 893, 607, 3521, 7455, 13809, 6145, 31743, 86329}},
{10200, 17, 38038, {1, 1, 1, 15, 25, 41, 111, 65, 11, 627, 59, 2725, 995, 3761, 25361, 45189, 48355}},
{10201, 17, 38041, {1, 1, 7, 5, 29, 43, 91, 139, 323, 503, 679, 4079, 403, 1899, 1425, 26989, 117057}},
{10202, 17, 38044, {1, 3, 5, 13, 1, 17, 19, 61, 205, 833, 345, 1031, 7995, 999, 27469, 15943, 88011}},
{10203, 17, 38048, {1, 3, 1, 7, 23, 49, 123, 9, 11, 761, 1163, 669, 3837, 15225, 23393, 19513, 9457}},
{10204, 17, 38051, {1, 1, 5, 9, 9, 33, 29, 123, 277, 433, 1799, 1583, 3133, 13461, 26443, 15807, 80173}},
{10205, 17, 38054, {1, 3, 7, 3, 31, 29, 77, 105, 297, 617, 491, 647, 6541, 5033, 31841, 48405, 126985}},
{10206, 17, 38065, {1, 1, 5, 5, 31, 39, 17, 25, 3, 279, 89, 3985, 3333, 5681, 3701, 36319, 12585}},
{10207, 17, 38066, {1, 1, 7, 13, 13, 19, 93, 129, 51, 875, 1083, 1739, 5193, 6217, 10033, 51839, 66071}},
{10208, 17, 38077, {1, 1, 7, 9, 15, 23, 93, 121, 507, 115, 707, 3181, 1521, 9609, 4577, 54389, 19167}},
{10209, 17, 38090, {1, 3, 3, 7, 17, 51, 19, 29, 387, 711, 1105, 1627, 4421, 15183, 14149, 26485, 106425}},
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{10211, 17, 38119, {1, 3, 3, 9, 17, 47, 5, 103, 477, 785, 235, 1523, 1505, 8811, 15255, 53493, 4383}},
{10212, 17, 38120, {1, 3, 7, 3, 7, 37, 73, 247, 397, 409, 1065, 525, 5665, 8533, 30627, 19035, 22937}},
{10213, 17, 38123, {1, 3, 3, 15, 15, 47, 123, 215, 413, 249, 55, 2563, 8033, 8743, 18659, 7947, 56057}},
{10214, 17, 38146, {1, 1, 7, 3, 11, 61, 103, 109, 313, 293, 149, 999, 901, 13387, 15351, 52973, 68385}},
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{10217, 17, 38181, {1, 1, 1, 1, 13, 43, 83, 255, 355, 567, 1781, 2943, 1061, 2701, 24861, 58381, 60255}},
{10218, 17, 38188, {1, 1, 3, 9, 25, 5, 81, 85, 445, 857, 517, 3687, 2641, 6699, 19273, 4481, 8715}},
{10219, 17, 38199, {1, 1, 3, 7, 17, 39, 33, 31, 29, 269, 379, 3149, 4731, 10387, 7941, 49199, 18423}},
{10220, 17, 38203, {1, 1, 7, 15, 19, 37, 105, 157, 185, 1023, 1865, 53, 6765, 3, 22897, 17019, 109521}},
{10221, 17, 38225, {1, 3, 7, 5, 5, 7, 117, 211, 19, 149, 1091, 3721, 201, 4455, 18965, 51401, 67225}},
{10222, 17, 38226, {1, 3, 5, 11, 1, 55, 101, 41, 469, 271, 1251, 949, 861, 11903, 14773, 25675, 114161}},
{10223, 17, 38231, {1, 1, 7, 7, 23, 13, 103, 185, 137, 575, 797, 1195, 5301, 13307, 12043, 26003, 31719}},
{10224, 17, 38244, {1, 1, 5, 7, 11, 51, 17, 71, 321, 559, 1461, 3571, 1033, 15575, 7097, 14703, 52359}},
{10225, 17, 38248, {1, 1, 1, 5, 21, 9, 123, 211, 233, 81, 111, 1433, 7825, 11771, 30743, 23993, 48717}},
{10226, 17, 38259, {1, 3, 5, 15, 7, 3, 109, 33, 99, 135, 393, 3463, 7271, 14387, 30723, 19079, 83073}},
{10227, 17, 38268, {1, 3, 3, 15, 3, 51, 77, 219, 409, 11, 67, 3787, 5155, 9259, 7185, 21611, 32577}},
{10228, 17, 38271, {1, 3, 7, 1, 5, 49, 125, 85, 151, 301, 887, 1765, 5, 12849, 11775, 11319, 29547}},
{10229, 17, 38272, {1, 1, 7, 11, 17, 15, 105, 29, 327, 637, 1493, 3361, 1823, 14709, 18355, 741, 57807}},
{10230, 17, 38278, {1, 1, 7, 7, 3, 27, 15, 113, 227, 617, 1543, 1719, 8065, 13627, 23525, 20511, 64759}},
{10231, 17, 38292, {1, 1, 3, 3, 21, 47, 89, 177, 381, 711, 1367, 2405, 887, 2351, 22957, 49679, 5963}},
{10232, 17, 38296, {1, 3, 7, 9, 7, 1, 39, 71, 9, 275, 875, 1385, 6215, 10419, 25921, 63427, 18031}},
{10233, 17, 38318, {1, 1, 7, 5, 23, 57, 27, 7, 445, 111, 953, 37, 2769, 1967, 8165, 35417, 36471}},
{10234, 17, 38326, {1, 3, 3, 11, 23, 17, 119, 113, 275, 625, 1957, 2795, 3815, 7937, 11049, 31939, 128053}},
{10235, 17, 38338, {1, 3, 3, 5, 7, 35, 45, 41, 251, 491, 1953, 3201, 751, 5705, 595, 27003, 77917}},
{10236, 17, 38347, {1, 3, 5, 3, 25, 17, 55, 137, 299, 541, 289, 2225, 4667, 3569, 13687, 36193, 75705}},
{10237, 17, 38373, {1, 1, 7, 15, 21, 9, 27, 157, 469, 441, 193, 2097, 4863, 2147, 31197, 24283, 102039}},
{10238, 17, 38378, {1, 1, 1, 11, 17, 39, 73, 37, 91, 121, 1283, 367, 1875, 14365, 28349, 60993, 10791}},
{10239, 17, 38380, {1, 3, 5, 9, 13, 63, 89, 53, 459, 347, 343, 2321, 5237, 2497, 279, 63833, 10709}},
{10240, 17, 38388, {1, 1, 1, 15, 11, 23, 41, 79, 45, 567, 1217, 1669, 1679, 2561, 16191, 49041, 4081}},
{10241, 17, 38392, {1, 3, 1, 5, 3, 9, 103, 245, 47, 561, 229, 2945, 6563, 797, 21571, 25769, 12995}},
{10242, 17, 38397, {1, 3, 5, 7, 5, 47, 99, 55, 49, 951, 765, 2095, 8021, 4389, 20501, 26047, 119967}},
{10243, 17, 38398, {1, 1, 5, 3, 15, 47, 81, 121, 379, 527, 419, 1093, 367, 10939, 17181, 13905, 49859}},
{10244, 17, 38401, {1, 3, 3, 5, 7, 59, 53, 255, 131, 685, 1677, 3757, 3601, 89, 6225, 32705, 28287}},
{10245, 17, 38404, {1, 3, 7, 1, 7, 55, 85, 47, 425, 793, 605, 2313, 791, 4247, 9693, 10633, 82915}},
{10246, 17, 38422, {1, 3, 5, 13, 13, 49, 127, 213, 27, 657, 419, 55, 6289, 295, 4211, 8899, 120237}},
{10247, 17, 38432, {1, 1, 7, 11, 11, 7, 75, 35, 315, 125, 517, 3677, 2323, 6897, 11535, 36789, 20179}},
{10248, 17, 38469, {1, 1, 5, 9, 11, 3, 77, 43, 323, 647, 383, 485, 3937, 9081, 27745, 59149, 103433}},
{10249, 17, 38482, {1, 3, 3, 13, 3, 47, 91, 81, 115, 625, 2003, 3601, 531, 113, 20719, 47391, 111039}},
{10250, 17, 38493, {1, 1, 3, 13, 5, 49, 123, 189, 109, 325, 497, 923, 3861, 14029, 22651, 19857, 104801}},
{10251, 17, 38507, {1, 1, 5, 3, 29, 23, 25, 23, 501, 371, 1983, 1303, 2261, 11865, 13281, 2587, 75741}},
{10252, 17, 38518, {1, 3, 5, 13, 27, 61, 45, 11, 157, 615, 897, 1529, 2213, 757, 30105, 2011, 27267}},
{10253, 17, 38521, {1, 3, 5, 13, 29, 31, 95, 159, 449, 307, 1575, 1897, 2301, 14023, 6921, 30543, 31843}},
{10254, 17, 38527, {1, 3, 3, 5, 1, 1, 79, 147, 437, 623, 1161, 3407, 3073, 15425, 4329, 19651, 90597}},
{10255, 17, 38533, {1, 1, 1, 11, 17, 7, 43, 171, 447, 841, 573, 3775, 5517, 3629, 18241, 31907, 51423}},
{10256, 17, 38534, {1, 1, 3, 7, 15, 53, 111, 203, 171, 963, 1983, 2017, 6067, 12281, 3417, 7431, 33803}},
{10257, 17, 38552, {1, 3, 1, 1, 31, 49, 125, 65, 7, 579, 1709, 1815, 2643, 11537, 30093, 11813, 65157}},
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{10259, 17, 38576, {1, 1, 3, 5, 17, 43, 13, 81, 29, 905, 1975, 589, 5875, 15683, 29447, 46453, 127911}},
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{10261, 17, 38585, {1, 1, 3, 11, 23, 37, 33, 135, 329, 733, 245, 2353, 2547, 7823, 16265, 5975, 37877}},
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{10264, 17, 38613, {1, 1, 7, 7, 11, 51, 111, 47, 169, 39, 45, 2211, 6729, 10987, 22367, 27257, 112711}},
{10265, 17, 38617, {1, 3, 5, 3, 19, 61, 89, 185, 23, 793, 1457, 1743, 3743, 15063, 14053, 50201, 109175}},
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{10268, 17, 38651, {1, 1, 1, 11, 9, 37, 113, 45, 487, 961, 87, 1461, 3521, 8645, 19771, 43817, 43277}},
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{10270, 17, 38665, {1, 3, 7, 3, 29, 21, 101, 93, 289, 975, 1937, 3423, 757, 7075, 12575, 26801, 90989}},
{10271, 17, 38668, {1, 1, 7, 15, 25, 49, 49, 149, 503, 365, 1359, 2155, 7977, 14955, 18439, 44269, 88995}},
{10272, 17, 38674, {1, 3, 7, 13, 25, 27, 15, 67, 157, 873, 339, 2143, 1405, 12209, 30939, 36109, 107699}},
{10273, 17, 38689, {1, 3, 5, 5, 21, 33, 121, 95, 61, 159, 1423, 2899, 3811, 263, 9139, 54481, 107375}},
{10274, 17, 38695, {1, 1, 7, 7, 13, 49, 83, 53, 267, 131, 673, 3945, 5255, 2009, 21017, 41749, 44817}},
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{10276, 17, 38707, {1, 3, 7, 7, 5, 13, 35, 161, 221, 951, 769, 717, 267, 2233, 23387, 47411, 95739}},
{10277, 17, 38710, {1, 3, 7, 11, 23, 47, 37, 67, 501, 159, 763, 4045, 5125, 5667, 9895, 33041, 101171}},
{10278, 17, 38716, {1, 1, 7, 1, 31, 31, 111, 183, 33, 895, 1819, 3593, 1285, 10145, 3679, 36615, 82863}},
{10279, 17, 38733, {1, 3, 5, 7, 21, 59, 55, 163, 139, 855, 1903, 3229, 3745, 10289, 28831, 46895, 12647}},
{10280, 17, 38736, {1, 3, 7, 9, 25, 31, 113, 177, 459, 201, 565, 2089, 725, 9273, 26249, 5987, 49573}},
{10281, 17, 38742, {1, 1, 7, 15, 3, 37, 49, 145, 121, 803, 1197, 2797, 21, 833, 2277, 28189, 93171}},
{10282, 17, 38751, {1, 1, 7, 7, 13, 31, 93, 153, 345, 363, 1825, 1481, 3347, 13277, 26119, 63153, 118231}},
{10283, 17, 38752, {1, 3, 1, 11, 31, 9, 33, 95, 433, 595, 1131, 465, 1797, 15453, 32527, 40789, 37799}},
{10284, 17, 38775, {1, 1, 5, 11, 31, 29, 83, 33, 243, 633, 1325, 3843, 7717, 851, 29789, 48827, 89209}},
{10285, 17, 38779, {1, 1, 3, 7, 25, 31, 127, 219, 281, 51, 1843, 3363, 5985, 1697, 3083, 18967, 117421}},
{10286, 17, 38792, {1, 3, 7, 9, 1, 19, 125, 199, 41, 117, 903, 1131, 7731, 14431, 24753, 62841, 50251}},
{10287, 17, 38798, {1, 3, 5, 5, 11, 37, 19, 249, 97, 59, 1849, 1151, 2171, 1217, 31277, 26547, 86601}},
{10288, 17, 38819, {1, 3, 3, 7, 29, 35, 21, 7, 93, 971, 1155, 1847, 89, 6759, 29611, 40793, 88327}},
{10289, 17, 38822, {1, 3, 5, 5, 29, 23, 91, 71, 479, 943, 1839, 3699, 2491, 9603, 15061, 43221, 20435}},
{10290, 17, 38839, {1, 3, 3, 7, 29, 11, 15, 83, 21, 585, 501, 161, 4797, 11243, 14879, 12519, 19069}},
{10291, 17, 38851, {1, 1, 5, 15, 13, 37, 9, 215, 433, 925, 987, 3253, 8027, 7013, 20801, 12891, 36497}},
{10292, 17, 38854, {1, 3, 7, 1, 15, 31, 95, 85, 355, 1013, 1963, 2943, 1925, 13691, 15237, 28943, 63873}},
{10293, 17, 38863, {1, 3, 3, 1, 17, 21, 99, 201, 465, 819, 665, 901, 2671, 2457, 29603, 35275, 28339}},
{10294, 17, 38865, {1, 1, 1, 9, 5, 23, 111, 107, 27, 433, 1341, 91, 6879, 1933, 25433, 37435, 99061}},
{10295, 17, 38887, {1, 3, 5, 13, 11, 55, 27, 151, 397, 591, 89, 1221, 5581, 2701, 15033, 41879, 71415}},
{10296, 17, 38896, {1, 3, 3, 5, 17, 35, 15, 119, 487, 903, 875, 3391, 7731, 12181, 27823, 32561, 59133}},
{10297, 17, 38901, {1, 1, 5, 7, 15, 33, 67, 53, 307, 947, 857, 2713, 803, 765, 4175, 15513, 23985}},
{10298, 17, 38912, {1, 3, 1, 15, 23, 11, 15, 101, 467, 429, 153, 3205, 5627, 7555, 22515, 12721, 7905}},
{10299, 17, 38918, {1, 1, 3, 7, 19, 61, 55, 187, 413, 49, 1031, 3415, 3903, 6933, 20017, 50429, 116407}},
{10300, 17, 38929, {1, 3, 1, 13, 13, 15, 33, 1, 403, 441, 1969, 775, 2209, 15061, 15657, 28819, 62705}},
{10301, 17, 38941, {1, 1, 5, 13, 13, 47, 67, 97, 87, 677, 1639, 3281, 1395, 8499, 18449, 49935, 25775}},
{10302, 17, 38948, {1, 3, 3, 13, 7, 13, 77, 45, 405, 881, 293, 2263, 6517, 15415, 25809, 5681, 31327}},
{10303, 17, 38965, {1, 3, 7, 5, 5, 51, 63, 171, 401, 671, 1631, 1735, 7361, 8741, 31933, 44761, 12209}},
{10304, 17, 38969, {1, 1, 7, 3, 13, 3, 39, 223, 105, 781, 241, 2895, 5165, 12135, 5683, 63009, 58399}},
{10305, 17, 38977, {1, 1, 5, 11, 29, 11, 37, 1, 445, 157, 219, 2269, 3025, 5721, 24539, 41879, 128445}},
{10306, 17, 38987, {1, 3, 7, 15, 23, 21, 125, 105, 141, 101, 1981, 3765, 5349, 13781, 10055, 7069, 77721}},
{10307, 17, 38992, {1, 1, 7, 9, 3, 37, 111, 95, 33, 53, 1021, 1629, 6945, 4657, 19977, 36715, 101401}},
{10308, 17, 38995, {1, 3, 3, 1, 9, 5, 65, 77, 459, 471, 1045, 2351, 2787, 13001, 16211, 22585, 116205}},
{10309, 17, 39001, {1, 1, 7, 9, 25, 41, 21, 187, 471, 997, 583, 2243, 6537, 11837, 21089, 51051, 98517}},
{10310, 17, 39004, {1, 1, 7, 5, 13, 15, 81, 39, 223, 935, 951, 5, 4315, 11789, 18365, 49647, 92461}},
{10311, 17, 39011, {1, 3, 3, 5, 11, 15, 97, 245, 43, 819, 1415, 3287, 2051, 15879, 21727, 54467, 53875}},
{10312, 17, 39018, {1, 3, 1, 11, 7, 47, 125, 155, 301, 469, 805, 3789, 6967, 12117, 30369, 55183, 12671}},
{10313, 17, 39025, {1, 1, 3, 13, 17, 25, 45, 199, 69, 1015, 581, 3891, 7743, 9273, 7639, 59055, 93923}},
{10314, 17, 39031, {1, 1, 5, 11, 9, 47, 39, 251, 489, 47, 83, 2147, 943, 1959, 21361, 5325, 106079}},
{10315, 17, 39032, {1, 3, 5, 13, 27, 59, 35, 1, 155, 367, 165, 2665, 3021, 1127, 28585, 45347, 66763}},
{10316, 17, 39044, {1, 3, 1, 5, 31, 31, 15, 125, 485, 581, 1987, 2293, 4573, 11431, 20773, 58661, 79869}},
{10317, 17, 39056, {1, 3, 5, 15, 31, 11, 109, 229, 11, 831, 1545, 919, 6125, 9337, 4169, 58041, 67577}},
{10318, 17, 39065, {1, 1, 1, 3, 1, 43, 13, 89, 89, 863, 1607, 1897, 4831, 5239, 24503, 51853, 126983}},
{10319, 17, 39066, {1, 1, 5, 11, 11, 37, 11, 253, 495, 83, 941, 3665, 5187, 13679, 11811, 29563, 80571}},
{10320, 17, 39084, {1, 3, 7, 15, 3, 45, 45, 157, 477, 321, 1401, 1133, 271, 12455, 31543, 18223, 116701}},
{10321, 17, 39095, {1, 1, 5, 3, 7, 5, 17, 127, 195, 583, 715, 3975, 6865, 7617, 6749, 15687, 42375}},
{10322, 17, 39099, {1, 1, 1, 7, 5, 7, 21, 163, 303, 45, 1435, 1345, 2489, 15333, 18459, 60837, 104339}},
{10323, 17, 39101, {1, 3, 1, 1, 7, 23, 39, 93, 347, 947, 345, 1713, 6383, 15411, 10849, 32559, 126431}},
{10324, 17, 39102, {1, 3, 1, 5, 19, 41, 119, 213, 3, 991, 1745, 3989, 155, 7761, 28179, 59805, 106759}},
{10325, 17, 39104, {1, 1, 7, 5, 25, 11, 105, 89, 505, 711, 1213, 2831, 8087, 8855, 31171, 49749, 921}},
{10326, 17, 39109, {1, 1, 5, 5, 23, 61, 49, 101, 209, 805, 123, 17, 805, 9033, 25753, 33261, 33753}},
{10327, 17, 39114, {1, 1, 3, 5, 5, 17, 93, 223, 179, 307, 869, 1851, 4313, 477, 12925, 21365, 103999}},
{10328, 17, 39121, {1, 1, 7, 13, 21, 23, 105, 53, 393, 939, 291, 2407, 4815, 4961, 30305, 8613, 62599}},
{10329, 17, 39122, {1, 1, 1, 11, 9, 55, 55, 135, 411, 225, 205, 3357, 4553, 10139, 17649, 51209, 94037}},
{10330, 17, 39127, {1, 3, 5, 15, 17, 17, 119, 15, 121, 581, 169, 2495, 3673, 7173, 13099, 7683, 53397}},
{10331, 17, 39150, {1, 3, 1, 11, 29, 29, 119, 255, 447, 85, 845, 1015, 2793, 2471, 12639, 32155, 99193}},
{10332, 17, 39172, {1, 3, 3, 3, 9, 33, 77, 251, 425, 1007, 1003, 2697, 4989, 7799, 26581, 15963, 50443}},
{10333, 17, 39181, {1, 3, 1, 5, 13, 47, 13, 203, 473, 529, 147, 2061, 343, 4029, 14615, 51355, 27863}},
{10334, 17, 39184, {1, 1, 3, 15, 19, 63, 39, 25, 241, 487, 461, 3021, 3545, 4537, 8991, 17689, 77131}},
{10335, 17, 39193, {1, 3, 5, 5, 7, 1, 61, 89, 495, 943, 1061, 405, 449, 12785, 25151, 24497, 65709}},
{10336, 17, 39199, {1, 1, 5, 3, 7, 43, 51, 55, 193, 615, 37, 1377, 2541, 3861, 29447, 32269, 106335}},
{10337, 17, 39200, {1, 1, 5, 11, 21, 55, 103, 43, 421, 673, 175, 979, 5175, 1301, 8617, 55875, 111095}},
{10338, 17, 39206, {1, 3, 5, 13, 29, 31, 33, 241, 129, 473, 201, 2015, 447, 99, 23781, 33517, 107851}},
{10339, 17, 39209, {1, 3, 5, 3, 13, 27, 125, 205, 287, 957, 1609, 2907, 5481, 14239, 19719, 22459, 75365}},
{10340, 17, 39235, {1, 3, 3, 5, 27, 23, 53, 39, 329, 381, 745, 517, 7853, 5333, 2773, 29119, 7049}},
{10341, 17, 39238, {1, 3, 5, 15, 29, 11, 89, 3, 503, 755, 485, 2669, 6737, 16241, 7345, 50991, 107291}},
{10342, 17, 39242, {1, 1, 7, 3, 17, 45, 11, 3, 157, 715, 577, 1309, 3323, 9401, 10573, 55135, 100067}},
{10343, 17, 39244, {1, 1, 5, 9, 19, 21, 49, 103, 349, 503, 1447, 675, 4273, 7673, 27507, 57697, 80875}},
{10344, 17, 39280, {1, 1, 5, 1, 9, 53, 19, 99, 225, 915, 431, 781, 3291, 4383, 26505, 50339, 99799}},
{10345, 17, 39290, {1, 3, 1, 5, 7, 37, 87, 201, 481, 991, 1553, 1867, 7893, 13147, 18647, 10373, 51951}},
{10346, 17, 39292, {1, 1, 3, 13, 17, 37, 19, 199, 253, 901, 759, 3545, 3565, 10461, 11867, 57605, 75555}},
{10347, 17, 39296, {1, 1, 1, 5, 15, 23, 115, 69, 363, 673, 201, 2451, 3197, 10059, 1667, 47145, 89}},
{10348, 17, 39305, {1, 1, 7, 13, 19, 31, 63, 35, 93, 939, 1057, 3221, 951, 3575, 9659, 7005, 2087}},
{10349, 17, 39308, {1, 1, 7, 15, 15, 21, 79, 7, 23, 595, 1123, 1909, 6863, 7383, 28067, 30113, 107497}},
{10350, 17, 39311, {1, 3, 5, 7, 11, 47, 41, 177, 163, 855, 1853, 3837, 6995, 9727, 27285, 62667, 77531}},
{10351, 17, 39326, {1, 3, 7, 3, 3, 29, 99, 163, 95, 893, 1049, 2001, 2961, 601, 4613, 59745, 61203}},
{10352, 17, 39329, {1, 3, 5, 1, 27, 5, 5, 47, 119, 631, 1171, 3467, 2115, 8581, 24863, 64193, 52093}},
{10353, 17, 39330, {1, 1, 1, 5, 9, 51, 49, 251, 97, 177, 311, 993, 1103, 7875, 25273, 51587, 9081}},
{10354, 17, 39336, {1, 3, 7, 5, 31, 21, 43, 137, 143, 779, 691, 2331, 5073, 5409, 13335, 999, 127765}},
{10355, 17, 39339, {1, 1, 7, 1, 31, 33, 27, 193, 175, 755, 1559, 659, 5663, 10491, 29209, 50979, 116683}},
{10356, 17, 39353, {1, 3, 1, 7, 23, 49, 1, 39, 117, 45, 1767, 3503, 4901, 5699, 23613, 44195, 17867}},
{10357, 17, 39359, {1, 3, 7, 13, 3, 5, 105, 89, 343, 627, 1117, 3419, 2081, 5747, 7919, 44329, 125133}},
{10358, 17, 39374, {1, 3, 1, 9, 13, 33, 53, 203, 17, 927, 127, 2195, 415, 11301, 15115, 54467, 128777}},
{10359, 17, 39391, {1, 3, 7, 1, 9, 41, 15, 89, 403, 333, 57, 1159, 1325, 2335, 10609, 20485, 110317}},
{10360, 17, 39392, {1, 3, 3, 5, 3, 61, 25, 155, 477, 907, 359, 359, 5119, 8157, 29945, 38955, 106485}},
{10361, 17, 39402, {1, 1, 7, 5, 19, 47, 91, 89, 367, 703, 761, 431, 6813, 2983, 29739, 52453, 125935}},
{10362, 17, 39409, {1, 1, 1, 7, 7, 61, 127, 239, 277, 649, 1111, 2319, 1737, 5071, 13469, 52119, 48899}},
{10363, 17, 39410, {1, 3, 5, 15, 7, 17, 21, 209, 265, 895, 719, 263, 6871, 5835, 28483, 49859, 67619}},
{10364, 17, 39415, {1, 3, 3, 15, 3, 7, 113, 109, 333, 545, 597, 1193, 7593, 3961, 25169, 64673, 47839}},
{10365, 17, 39419, {1, 1, 1, 3, 15, 45, 55, 41, 317, 719, 1587, 2953, 2441, 1127, 9183, 21637, 69075}},
{10366, 17, 39431, {1, 3, 1, 9, 25, 57, 59, 29, 89, 833, 379, 1085, 763, 14747, 30797, 24089, 83367}},
{10367, 17, 39432, {1, 1, 5, 13, 29, 3, 117, 239, 453, 595, 243, 3103, 6047, 631, 22739, 41669, 11683}},
{10368, 17, 39438, {1, 1, 3, 1, 9, 53, 81, 21, 67, 735, 827, 3519, 7991, 16249, 4183, 61295, 4531}},
{10369, 17, 39443, {1, 3, 5, 3, 1, 57, 47, 99, 91, 71, 1421, 2949, 5951, 15439, 25239, 26453, 50199}},
{10370, 17, 39445, {1, 1, 3, 15, 21, 3, 93, 21, 41, 809, 855, 727, 7797, 6957, 15835, 27175, 60617}},
{10371, 17, 39449, {1, 1, 1, 13, 1, 3, 83, 135, 197, 171, 1459, 2841, 5021, 6961, 30675, 38295, 39555}},
{10372, 17, 39461, {1, 1, 7, 5, 7, 49, 83, 83, 117, 73, 639, 2717, 651, 3253, 31635, 14427, 116509}},
{10373, 17, 39462, {1, 3, 1, 3, 23, 63, 15, 23, 433, 539, 903, 2655, 1787, 12901, 12013, 41315, 128217}},
{10374, 17, 39485, {1, 3, 1, 7, 5, 19, 3, 137, 493, 681, 775, 3725, 4855, 10817, 25277, 3631, 60779}},
{10375, 17, 39508, {1, 3, 3, 5, 1, 7, 67, 39, 309, 77, 1679, 2853, 3803, 2065, 7461, 1555, 88219}},
{10376, 17, 39515, {1, 1, 3, 5, 3, 47, 17, 193, 429, 789, 1525, 969, 7905, 6523, 10149, 64689, 40037}},
{10377, 17, 39522, {1, 3, 5, 7, 21, 17, 65, 61, 255, 517, 1765, 2603, 4929, 11073, 7871, 29313, 84739}},
{10378, 17, 39533, {1, 1, 5, 7, 13, 55, 111, 63, 499, 9, 1715, 957, 6951, 15839, 13531, 45483, 17923}},
{10379, 17, 39541, {1, 1, 1, 1, 27, 7, 13, 135, 27, 259, 1735, 3847, 7931, 14777, 15249, 62367, 45773}},
{10380, 17, 39542, {1, 1, 5, 3, 5, 7, 99, 171, 491, 1007, 195, 2223, 2657, 13557, 6549, 47125, 25117}},
{10381, 17, 39557, {1, 1, 1, 9, 13, 21, 59, 205, 205, 951, 1707, 3387, 2901, 5463, 13403, 1917, 90591}},
{10382, 17, 39570, {1, 3, 3, 5, 21, 37, 71, 91, 297, 885, 1415, 355, 2877, 9261, 6485, 45855, 90081}},
{10383, 17, 39575, {1, 1, 5, 9, 23, 51, 107, 75, 93, 1015, 439, 3589, 3307, 337, 17247, 42285, 85417}},
{10384, 17, 39576, {1, 1, 7, 15, 29, 33, 51, 23, 269, 35, 1241, 1137, 729, 14531, 14603, 47547, 17151}},
{10385, 17, 39591, {1, 3, 3, 1, 25, 21, 51, 229, 55, 561, 653, 3289, 7629, 15445, 21115, 35941, 113669}},
{10386, 17, 39597, {1, 1, 5, 15, 1, 33, 119, 171, 75, 621, 2025, 3235, 1895, 8279, 13205, 61085, 105401}},
{10387, 17, 39603, {1, 3, 1, 7, 25, 33, 73, 25, 1, 531, 603, 77, 4939, 5957, 28065, 59467, 66659}},
{10388, 17, 39610, {1, 1, 7, 3, 17, 61, 103, 47, 289, 39, 917, 2515, 6607, 1129, 23361, 46321, 81929}},
{10389, 17, 39612, {1, 1, 7, 5, 29, 53, 5, 191, 151, 19, 895, 1215, 5401, 9861, 24751, 15481, 34179}},
{10390, 17, 39617, {1, 3, 7, 9, 5, 3, 29, 205, 173, 547, 727, 947, 5619, 4181, 30621, 5553, 37587}},
{10391, 17, 39620, {1, 1, 3, 9, 13, 59, 95, 145, 287, 849, 1483, 3375, 3531, 6585, 29565, 4243, 88333}},
{10392, 17, 39624, {1, 1, 7, 11, 21, 23, 59, 223, 71, 743, 443, 697, 7789, 10371, 28565, 45127, 37967}},
{10393, 17, 39627, {1, 3, 5, 11, 15, 25, 79, 71, 21, 817, 751, 189, 1769, 3835, 21465, 17991, 102043}},
{10394, 17, 39635, {1, 1, 7, 11, 3, 19, 25, 5, 261, 181, 49, 261, 7715, 2195, 19771, 43463, 36533}},
{10395, 17, 39641, {1, 1, 7, 13, 21, 21, 15, 235, 191, 197, 1305, 1351, 4511, 625, 6613, 37053, 59491}},
{10396, 17, 39666, {1, 1, 1, 13, 15, 13, 93, 239, 251, 1009, 527, 1347, 4173, 14753, 27389, 20397, 13101}},
{10397, 17, 39668, {1, 1, 3, 1, 15, 11, 127, 141, 277, 775, 1419, 2353, 6929, 2265, 7253, 19807, 74853}},
{10398, 17, 39686, {1, 3, 3, 15, 15, 49, 9, 183, 407, 377, 675, 871, 347, 3417, 4409, 7805, 40507}},
{10399, 17, 39692, {1, 3, 5, 3, 23, 11, 81, 53, 343, 681, 1777, 3411, 757, 10875, 3581, 56105, 79907}},
{10400, 17, 39700, {1, 3, 5, 1, 25, 9, 109, 55, 283, 311, 1607, 2479, 5675, 8819, 10853, 38719, 44471}},
{10401, 17, 39709, {1, 1, 7, 7, 9, 53, 33, 195, 503, 167, 993, 3203, 3885, 1921, 1039, 25785, 47411}},
{10402, 17, 39726, {1, 3, 3, 3, 31, 3, 11, 85, 475, 743, 1825, 2649, 2373, 12177, 21481, 35579, 85803}},
{10403, 17, 39728, {1, 3, 7, 3, 23, 45, 45, 207, 369, 773, 1579, 783, 2491, 7441, 21203, 57091, 107413}},
{10404, 17, 39737, {1, 1, 1, 5, 19, 7, 97, 213, 431, 533, 637, 1767, 4945, 4693, 977, 64781, 111811}},
{10405, 17, 39738, {1, 3, 7, 7, 1, 55, 101, 251, 153, 95, 1043, 3219, 3499, 6297, 11571, 9131, 61899}},
{10406, 17, 39755, {1, 3, 5, 5, 25, 53, 121, 255, 69, 661, 799, 3559, 2029, 11701, 14151, 37897, 18333}},
{10407, 17, 39757, {1, 1, 1, 9, 21, 19, 97, 21, 321, 957, 1115, 251, 5131, 8465, 24215, 34423, 12747}},
{10408, 17, 39758, {1, 3, 5, 7, 17, 19, 99, 135, 429, 625, 1401, 1025, 4193, 2911, 7349, 34135, 9341}},
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{10645, 17, 41819, {1, 3, 3, 1, 13, 21, 27, 17, 11, 11, 1095, 1447, 6941, 3399, 21245, 36661, 54283}},
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{10659, 17, 41964, {1, 3, 3, 7, 17, 5, 17, 45, 423, 393, 1793, 3, 603, 15221, 13141, 40585, 37489}},
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{10681, 17, 42143, {1, 3, 7, 13, 27, 1, 41, 119, 179, 879, 1617, 4053, 3537, 15389, 16381, 40153, 68019}},
{10682, 17, 42153, {1, 1, 3, 13, 13, 35, 45, 203, 333, 337, 1415, 1889, 2361, 4207, 10411, 21013, 44009}},
{10683, 17, 42176, {1, 3, 3, 5, 27, 9, 17, 85, 331, 369, 1219, 247, 1977, 12267, 1181, 18811, 54017}},
{10684, 17, 42182, {1, 3, 5, 9, 21, 57, 57, 175, 283, 639, 1155, 1595, 8187, 9981, 21451, 7525, 52751}},
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{10689, 17, 42227, {1, 3, 3, 5, 21, 15, 13, 19, 259, 949, 1237, 239, 5739, 4661, 3405, 55775, 58781}},
{10690, 17, 42234, {1, 1, 3, 5, 1, 63, 5, 197, 329, 625, 981, 913, 3957, 2765, 8801, 56675, 129511}},
{10691, 17, 42251, {1, 3, 3, 3, 29, 53, 65, 145, 435, 937, 787, 2043, 4945, 14585, 2789, 15771, 112335}},
{10692, 17, 42254, {1, 3, 7, 13, 3, 23, 33, 141, 131, 375, 739, 711, 897, 469, 3635, 43335, 3069}},
{10693, 17, 42256, {1, 1, 7, 11, 29, 13, 111, 149, 197, 793, 1541, 1879, 7683, 9397, 6873, 43733, 118507}},
{10694, 17, 42259, {1, 3, 7, 7, 29, 21, 97, 113, 139, 573, 1099, 2615, 5123, 13021, 9533, 57673, 79283}},
{10695, 17, 42282, {1, 3, 1, 5, 11, 9, 59, 89, 469, 797, 1119, 1037, 1667, 5947, 6051, 65045, 98275}},
{10696, 17, 42289, {1, 3, 3, 9, 11, 7, 51, 191, 321, 677, 1601, 681, 3579, 14441, 26579, 18019, 43065}},
{10697, 17, 42302, {1, 3, 5, 11, 7, 11, 79, 21, 335, 537, 801, 3553, 4311, 375, 7333, 64839, 88841}},
{10698, 17, 42307, {1, 3, 1, 7, 5, 11, 15, 163, 69, 645, 57, 3685, 5143, 8275, 12763, 25035, 68949}},
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{10700, 17, 42322, {1, 1, 3, 11, 31, 33, 3, 7, 185, 821, 231, 869, 6147, 15243, 32029, 20295, 60871}},
{10701, 17, 42328, {1, 1, 1, 1, 31, 43, 21, 103, 275, 573, 805, 225, 2049, 8375, 32595, 53201, 126487}},
{10702, 17, 42338, {1, 1, 1, 9, 31, 29, 7, 91, 277, 937, 1223, 2435, 4335, 7861, 9647, 13577, 30059}},
{10703, 17, 42349, {1, 1, 1, 1, 23, 25, 69, 175, 293, 905, 765, 1527, 6655, 15431, 2511, 3147, 75431}},
{10704, 17, 42367, {1, 3, 3, 3, 15, 53, 109, 195, 87, 557, 1277, 1471, 7401, 14127, 11479, 41505, 769}},
{10705, 17, 42386, {1, 1, 5, 11, 23, 37, 121, 181, 199, 359, 1521, 2561, 3641, 7621, 14219, 6959, 77529}},
{10706, 17, 42398, {1, 3, 1, 11, 5, 7, 69, 199, 501, 251, 707, 1485, 8125, 3209, 30883, 40259, 85087}},
{10707, 17, 42404, {1, 3, 5, 13, 9, 35, 5, 133, 505, 39, 581, 1605, 6303, 1211, 27211, 55591, 31689}},
{10708, 17, 42413, {1, 1, 5, 3, 17, 7, 11, 61, 483, 59, 1569, 2583, 759, 5759, 3575, 44547, 89783}},
{10709, 17, 42419, {1, 1, 7, 15, 5, 27, 107, 5, 471, 421, 383, 3591, 3609, 13817, 633, 22043, 83119}},
{10710, 17, 42421, {1, 1, 3, 7, 27, 55, 61, 249, 37, 241, 1483, 2839, 1231, 4765, 1551, 55801, 129679}},
{10711, 17, 42422, {1, 1, 1, 3, 11, 1, 19, 207, 143, 351, 409, 721, 4597, 13389, 30297, 43253, 129923}},
{10712, 17, 42431, {1, 3, 3, 7, 7, 53, 83, 27, 167, 163, 537, 3871, 2459, 12813, 30019, 41131, 56109}},
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{10892, 17, 44057, {1, 1, 7, 11, 1, 63, 31, 103, 249, 861, 983, 335, 35, 4291, 16307, 43669, 68065}},
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{10894, 17, 44067, {1, 1, 7, 3, 29, 45, 5, 85, 185, 191, 1007, 3085, 2177, 14911, 18319, 265, 25435}},
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{10906, 17, 44159, {1, 1, 5, 5, 21, 43, 123, 43, 475, 521, 1301, 3185, 5627, 7443, 1195, 39485, 113125}},
{10907, 17, 44160, {1, 1, 5, 7, 9, 3, 39, 5, 237, 719, 1743, 1153, 6401, 14701, 5503, 38491, 24123}},
{10908, 17, 44170, {1, 3, 5, 9, 17, 33, 117, 23, 409, 63, 1829, 2587, 3489, 3209, 4775, 40069, 4721}},
{10909, 17, 44172, {1, 3, 3, 5, 21, 63, 95, 231, 25, 167, 1181, 813, 4591, 5227, 21999, 19633, 37547}},
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{10920, 17, 44283, {1, 3, 1, 1, 7, 13, 41, 93, 49, 285, 997, 891, 4353, 4249, 11269, 36935, 71249}},
{10921, 17, 44291, {1, 3, 3, 13, 13, 23, 97, 231, 101, 93, 1183, 201, 6795, 16287, 30707, 20845, 105873}},
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{10928, 17, 44354, {1, 3, 1, 3, 3, 11, 103, 123, 401, 467, 1159, 2725, 3275, 15513, 2281, 21617, 87211}},
{10929, 17, 44366, {1, 1, 5, 7, 23, 17, 25, 83, 11, 901, 809, 3233, 3929, 8685, 7609, 50949, 104841}},
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{10932, 17, 44384, {1, 3, 1, 11, 29, 55, 19, 193, 9, 151, 597, 1377, 827, 8549, 1293, 10963, 86183}},
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{10934, 17, 44393, {1, 3, 5, 9, 21, 33, 111, 101, 503, 513, 785, 1947, 1139, 7921, 13189, 34831, 80963}},
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{10986, 17, 44838, {1, 1, 3, 15, 31, 41, 51, 205, 123, 215, 305, 3777, 4103, 7275, 21603, 56853, 54575}},
{10987, 17, 44842, {1, 3, 7, 9, 17, 19, 37, 59, 193, 303, 1079, 3627, 6503, 14649, 10283, 64469, 83677}},
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{10989, 17, 44856, {1, 3, 1, 1, 17, 31, 41, 113, 135, 733, 723, 2021, 7397, 15917, 15741, 7295, 69885}},
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{10992, 17, 44904, {1, 1, 1, 15, 23, 37, 97, 45, 357, 201, 425, 3605, 5305, 10079, 16397, 40635, 15355}},
{10993, 17, 44915, {1, 1, 3, 7, 3, 43, 65, 89, 51, 801, 917, 2835, 5675, 2347, 16587, 19701, 68655}},
{10994, 17, 44917, {1, 3, 7, 13, 11, 59, 93, 155, 53, 435, 165, 3231, 429, 12757, 27033, 14081, 12625}},
{10995, 17, 44921, {1, 3, 1, 15, 15, 33, 121, 157, 271, 295, 901, 1689, 709, 13395, 17773, 14397, 37743}},
{10996, 17, 44928, {1, 1, 1, 3, 7, 17, 125, 113, 223, 603, 425, 3213, 2781, 2921, 15181, 18649, 93493}},
{10997, 17, 44933, {1, 3, 3, 5, 1, 25, 3, 101, 151, 435, 1339, 1207, 7687, 12579, 29331, 4653, 67353}},
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{10999, 17, 44937, {1, 1, 5, 1, 17, 31, 79, 247, 77, 197, 1693, 313, 2183, 14343, 4511, 26009, 44943}},
{11000, 17, 44940, {1, 1, 7, 5, 31, 29, 119, 251, 345, 867, 271, 165, 6425, 8343, 11251, 28125, 34849}},
{11001, 17, 44951, {1, 3, 1, 1, 13, 35, 9, 103, 365, 675, 1653, 4095, 3123, 8245, 4679, 18951, 88543}},
{11002, 17, 44961, {1, 1, 1, 1, 23, 29, 109, 157, 253, 751, 145, 2077, 4555, 7523, 30099, 37709, 97369}},
{11003, 17, 44962, {1, 3, 3, 11, 5, 1, 51, 11, 203, 963, 1961, 351, 6697, 8137, 25933, 53505, 28531}},
{11004, 17, 44971, {1, 1, 7, 15, 27, 1, 31, 159, 447, 501, 1873, 2845, 875, 1671, 5049, 38901, 32559}},
{11005, 17, 44982, {1, 1, 3, 3, 29, 19, 33, 83, 71, 703, 1861, 3683, 3589, 15339, 21075, 40399, 47853}},
{11006, 17, 44985, {1, 3, 3, 7, 5, 41, 61, 181, 319, 77, 777, 2537, 3887, 2687, 29227, 55217, 55813}},
{11007, 17, 44996, {1, 3, 3, 1, 25, 41, 23, 31, 31, 775, 693, 891, 861, 7613, 9557, 43275, 36311}},
{11008, 17, 44999, {1, 1, 7, 13, 11, 5, 99, 217, 81, 441, 765, 3981, 2921, 9657, 6905, 30657, 18395}},
{11009, 17, 45014, {1, 3, 1, 11, 21, 55, 25, 209, 13, 1021, 1373, 785, 3243, 1541, 12033, 17309, 116517}},
{11010, 17, 45029, {1, 1, 1, 7, 3, 3, 61, 113, 453, 405, 1321, 2327, 3529, 12779, 11707, 55795, 105137}},
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{11012, 17, 45036, {1, 3, 5, 13, 11, 15, 91, 115, 427, 723, 1815, 3527, 5917, 4931, 28297, 12257, 5587}},
{11013, 17, 45047, {1, 1, 5, 9, 31, 5, 77, 201, 373, 143, 581, 1199, 6807, 6059, 3133, 57069, 4895}},
{11014, 17, 45065, {1, 3, 1, 9, 17, 13, 127, 61, 235, 991, 279, 1545, 2875, 8453, 13329, 39763, 66897}},
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{11016, 17, 45085, {1, 3, 5, 1, 3, 55, 63, 51, 63, 707, 883, 2985, 3699, 3881, 8159, 41775, 41411}},
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{11324, 17, 47595, {1, 3, 5, 7, 5, 51, 125, 67, 165, 145, 733, 1649, 5787, 4333, 24355, 33397, 101001}},
{11325, 17, 47598, {1, 3, 7, 11, 13, 7, 117, 147, 449, 201, 953, 553, 1839, 6903, 10417, 42751, 36823}},
{11326, 17, 47609, {1, 1, 3, 5, 3, 21, 109, 35, 95, 953, 211, 2849, 5681, 16287, 16553, 30345, 69729}},
{11327, 17, 47612, {1, 3, 7, 5, 25, 37, 21, 143, 317, 621, 1417, 283, 3801, 15375, 3799, 13345, 59727}},
{11328, 17, 47616, {1, 3, 3, 9, 3, 37, 113, 127, 123, 979, 1225, 2585, 2055, 2571, 16727, 38863, 74347}},
{11329, 17, 47625, {1, 3, 3, 3, 23, 13, 49, 111, 277, 143, 1171, 605, 91, 13693, 1971, 18209, 114203}},
{11330, 17, 47640, {1, 1, 1, 9, 27, 33, 73, 9, 93, 343, 55, 3045, 2029, 3665, 28483, 6601, 72085}},
{11331, 17, 47649, {1, 1, 1, 15, 17, 55, 87, 231, 103, 1005, 1451, 3617, 7477, 2045, 10683, 39053, 1289}},
{11332, 17, 47655, {1, 3, 7, 7, 25, 55, 39, 89, 489, 609, 1969, 159, 7485, 10713, 28371, 14935, 95347}},
{11333, 17, 47661, {1, 3, 3, 13, 25, 9, 83, 167, 25, 135, 2017, 3313, 1493, 7799, 22479, 49471, 20149}},
{11334, 17, 47688, {1, 1, 1, 15, 25, 13, 63, 117, 97, 449, 1331, 229, 6027, 1023, 26705, 15283, 60385}},
{11335, 17, 47711, {1, 1, 7, 5, 5, 37, 3, 79, 337, 861, 1549, 915, 7303, 1503, 19245, 60721, 45313}},
{11336, 17, 47717, {1, 3, 7, 15, 19, 1, 11, 39, 505, 757, 1627, 2137, 3209, 7651, 31291, 45913, 26851}},
{11337, 17, 47721, {1, 3, 1, 5, 25, 21, 85, 233, 171, 269, 367, 1651, 3961, 2487, 1977, 7027, 2725}},
{11338, 17, 47724, {1, 1, 5, 15, 13, 23, 81, 145, 201, 323, 425, 2785, 1149, 12617, 11451, 23205, 117691}},
{11339, 17, 47727, {1, 1, 7, 11, 29, 37, 69, 141, 15, 773, 1299, 2147, 8129, 12227, 27811, 58701, 103637}},
{11340, 17, 47730, {1, 3, 5, 13, 3, 33, 29, 227, 261, 221, 823, 1399, 5107, 2423, 23809, 42175, 28207}},
{11341, 17, 47739, {1, 3, 1, 15, 21, 1, 121, 255, 259, 441, 45, 1899, 2489, 4155, 18317, 52695, 607}},
{11342, 17, 47745, {1, 3, 5, 9, 25, 43, 115, 111, 329, 997, 753, 1513, 6949, 3197, 28275, 48855, 25089}},
{11343, 17, 47752, {1, 3, 3, 3, 25, 9, 21, 213, 111, 173, 913, 1465, 4437, 9725, 1455, 53517, 81843}},
{11344, 17, 47758, {1, 3, 5, 5, 5, 25, 3, 159, 19, 203, 181, 3447, 6395, 2145, 11289, 16797, 59567}},
{11345, 17, 47765, {1, 3, 3, 1, 29, 25, 43, 115, 257, 833, 379, 941, 4389, 5795, 12593, 2471, 127149}},
{11346, 17, 47770, {1, 3, 1, 9, 3, 15, 81, 141, 155, 515, 1677, 2569, 1105, 15653, 24143, 3439, 17317}},
{11347, 17, 47782, {1, 3, 1, 13, 27, 13, 103, 87, 27, 971, 671, 629, 4943, 13897, 4003, 21507, 40193}},
{11348, 17, 47786, {1, 3, 5, 9, 1, 49, 11, 15, 511, 837, 1953, 1585, 1867, 9095, 543, 16993, 115187}},
{11349, 17, 47791, {1, 1, 5, 11, 21, 49, 37, 61, 9, 629, 1025, 1635, 4047, 15491, 28481, 43235, 53165}},
{11350, 17, 47793, {1, 1, 5, 7, 15, 57, 121, 119, 405, 29, 655, 3085, 7131, 14761, 2273, 47113, 8603}},
{11351, 17, 47796, {1, 1, 3, 3, 11, 45, 51, 107, 367, 235, 675, 3777, 6081, 16319, 19499, 36893, 25579}},
{11352, 17, 47814, {1, 1, 7, 11, 1, 13, 43, 159, 415, 423, 1223, 2201, 1089, 10189, 12457, 26691, 3603}},
{11353, 17, 47823, {1, 1, 3, 3, 3, 37, 109, 67, 487, 785, 637, 3931, 929, 14153, 25283, 483, 14371}},
{11354, 17, 47826, {1, 1, 7, 9, 31, 59, 9, 245, 479, 113, 1419, 3265, 8131, 11123, 32519, 12141, 82059}},
{11355, 17, 47837, {1, 1, 1, 7, 25, 25, 31, 13, 81, 217, 997, 1161, 1049, 5487, 8487, 57807, 126115}},
{11356, 17, 47854, {1, 1, 3, 15, 1, 23, 63, 39, 503, 933, 1915, 687, 547, 779, 7689, 38607, 125229}},
{11357, 17, 47856, {1, 1, 3, 3, 31, 49, 51, 87, 99, 327, 783, 3487, 7307, 2759, 22781, 56343, 126805}},
{11358, 17, 47871, {1, 3, 3, 11, 27, 43, 99, 197, 275, 19, 775, 329, 3815, 14277, 3363, 26375, 75427}},
{11359, 17, 47879, {1, 1, 5, 15, 15, 19, 65, 109, 103, 411, 1591, 2569, 1981, 4773, 7861, 6303, 127421}},
{11360, 17, 47880, {1, 3, 1, 13, 1, 53, 107, 151, 317, 201, 1053, 2701, 5039, 2179, 10085, 31727, 85579}},
{11361, 17, 47885, {1, 3, 1, 9, 5, 55, 71, 143, 187, 29, 1363, 2403, 2675, 2187, 12123, 32825, 56461}},
{11362, 17, 47886, {1, 1, 7, 11, 5, 57, 91, 95, 85, 597, 925, 11, 1915, 9159, 9997, 29565, 111655}},
{11363, 17, 47903, {1, 1, 5, 9, 25, 57, 79, 189, 205, 687, 471, 601, 5343, 9031, 7853, 6079, 40567}},
{11364, 17, 47907, {1, 1, 3, 1, 31, 53, 67, 191, 511, 369, 1273, 3859, 4253, 14469, 3427, 17691, 22599}},
{11365, 17, 47913, {1, 1, 3, 9, 17, 53, 101, 219, 41, 663, 635, 3889, 2197, 8125, 8313, 14957, 111445}},
{11366, 17, 47916, {1, 1, 5, 5, 7, 49, 113, 9, 399, 257, 617, 63, 2773, 4411, 1193, 54449, 89003}},
{11367, 17, 47928, {1, 1, 7, 11, 13, 29, 77, 73, 161, 419, 985, 303, 2237, 15217, 26621, 20441, 113955}},
{11368, 17, 47936, {1, 3, 3, 9, 17, 39, 37, 139, 289, 421, 1021, 2635, 2805, 5815, 9101, 48077, 114009}},
{11369, 17, 47945, {1, 1, 1, 15, 25, 43, 71, 35, 103, 827, 1301, 3567, 3425, 3689, 14453, 10733, 81257}},
{11370, 17, 47948, {1, 3, 5, 5, 15, 31, 41, 161, 481, 231, 1135, 3045, 439, 11785, 14863, 39729, 59539}},
{11371, 17, 47956, {1, 1, 5, 7, 27, 9, 81, 141, 395, 105, 41, 3719, 3105, 13685, 7451, 31381, 82907}},
{11372, 17, 47965, {1, 3, 1, 13, 15, 25, 127, 231, 433, 837, 1923, 1301, 2479, 3243, 21605, 55789, 11311}},
{11373, 17, 47970, {1, 3, 5, 7, 17, 5, 27, 111, 217, 445, 1245, 1029, 7663, 10291, 16483, 37503, 110205}},
{11374, 17, 47972, {1, 1, 1, 7, 31, 21, 51, 235, 487, 457, 1687, 2947, 5067, 13779, 7671, 7257, 119141}},
{11375, 17, 47981, {1, 1, 5, 13, 25, 31, 59, 183, 33, 887, 469, 813, 7939, 11775, 5795, 26227, 57703}},
{11376, 17, 47987, {1, 3, 3, 15, 17, 7, 19, 87, 365, 177, 1157, 1023, 3055, 15439, 27187, 32593, 112507}},
{11377, 17, 48010, {1, 1, 1, 9, 19, 49, 103, 239, 207, 409, 1613, 2793, 5477, 11221, 21611, 19963, 99333}},
{11378, 17, 48012, {1, 3, 3, 11, 17, 1, 103, 77, 93, 197, 1883, 4053, 4613, 11571, 1841, 23189, 4235}},
{11379, 17, 48023, {1, 3, 5, 9, 9, 49, 29, 231, 167, 593, 1909, 2457, 323, 10549, 6551, 45597, 96591}},
{11380, 17, 48033, {1, 1, 7, 11, 15, 39, 33, 61, 13, 879, 1589, 2169, 125, 2427, 13029, 24919, 14147}},
{11381, 17, 48051, {1, 3, 5, 5, 25, 53, 49, 255, 263, 917, 1997, 171, 2945, 14243, 12983, 21821, 119547}},
{11382, 17, 48071, {1, 1, 1, 15, 5, 25, 113, 235, 311, 377, 1059, 1365, 3457, 8699, 18617, 25119, 110659}},
{11383, 17, 48075, {1, 1, 5, 1, 9, 61, 1, 137, 301, 85, 1527, 3831, 923, 13753, 20909, 14007, 22939}},
{11384, 17, 48077, {1, 1, 7, 9, 23, 17, 31, 107, 55, 293, 425, 3513, 3503, 10075, 6299, 40007, 54355}},
{11385, 17, 48080, {1, 3, 5, 5, 27, 39, 95, 187, 239, 949, 531, 3541, 99, 6339, 32295, 10377, 111287}},
{11386, 17, 48099, {1, 1, 5, 15, 19, 39, 23, 89, 185, 47, 87, 1721, 2471, 13221, 13201, 31, 12897}},
{11387, 17, 48106, {1, 3, 1, 9, 7, 7, 109, 241, 39, 687, 175, 139, 583, 1629, 19775, 6371, 121879}},
{11388, 17, 48114, {1, 1, 1, 13, 13, 9, 73, 153, 367, 425, 217, 3981, 5203, 1111, 12333, 59799, 105259}},
{11389, 17, 48120, {1, 1, 3, 5, 7, 33, 27, 123, 335, 727, 1619, 3999, 7799, 2807, 2251, 45835, 113193}},
{11390, 17, 48128, {1, 3, 1, 7, 25, 3, 49, 163, 447, 555, 647, 1461, 5881, 15755, 32233, 48915, 96203}},
{11391, 17, 48145, {1, 3, 7, 7, 21, 11, 61, 101, 323, 165, 1489, 2933, 3363, 8471, 4311, 65279, 123813}},
{11392, 17, 48152, {1, 3, 1, 1, 15, 1, 101, 225, 473, 479, 1237, 113, 7591, 2883, 3891, 53703, 14607}},
{11393, 17, 48155, {1, 3, 5, 3, 17, 51, 23, 31, 487, 957, 1623, 2329, 2801, 6213, 7523, 14131, 23893}},
{11394, 17, 48182, {1, 1, 5, 7, 9, 39, 93, 105, 13, 481, 53, 3785, 5621, 11889, 993, 23611, 73651}},
{11395, 17, 48188, {1, 3, 7, 15, 21, 57, 97, 69, 339, 289, 1805, 2661, 1165, 6079, 1127, 51285, 54453}},
{11396, 17, 48203, {1, 1, 3, 3, 3, 3, 1, 179, 123, 1011, 1363, 231, 6983, 9499, 91, 52573, 32565}},
{11397, 17, 48217, {1, 3, 3, 15, 5, 37, 97, 7, 189, 547, 1965, 3821, 4907, 8181, 12857, 7907, 19361}},
{11398, 17, 48218, {1, 1, 5, 3, 29, 33, 45, 99, 359, 337, 1377, 577, 3117, 9545, 30093, 26147, 128509}},
{11399, 17, 48236, {1, 3, 5, 11, 7, 49, 99, 249, 37, 755, 383, 2845, 4153, 695, 11099, 33653, 105155}},
{11400, 17, 48241, {1, 3, 1, 1, 19, 3, 3, 177, 97, 323, 1367, 213, 4391, 11223, 26497, 12289, 39047}},
{11401, 17, 48244, {1, 1, 3, 7, 3, 33, 73, 199, 339, 479, 1797, 3905, 2849, 5667, 18015, 36653, 83491}},
{11402, 17, 48264, {1, 1, 5, 3, 27, 59, 27, 241, 49, 161, 451, 3993, 2489, 10681, 11895, 60405, 47021}},
{11403, 17, 48269, {1, 1, 7, 5, 9, 23, 115, 131, 383, 895, 1591, 585, 2571, 7485, 31535, 12871, 95717}},
{11404, 17, 48278, {1, 1, 1, 15, 13, 49, 3, 157, 311, 159, 1239, 159, 5643, 6405, 11763, 34609, 75259}},
{11405, 17, 48282, {1, 1, 1, 13, 11, 41, 119, 3, 165, 943, 2035, 179, 357, 14591, 20099, 4787, 12659}},
{11406, 17, 48288, {1, 1, 5, 11, 13, 9, 67, 139, 259, 947, 1559, 283, 1557, 11297, 29753, 21953, 100317}},
{11407, 17, 48311, {1, 1, 7, 11, 13, 39, 105, 83, 109, 723, 1643, 3599, 1471, 13653, 4583, 18595, 91935}},
{11408, 17, 48315, {1, 1, 5, 9, 25, 5, 69, 189, 209, 779, 1421, 467, 849, 12887, 10317, 3005, 100813}},
{11409, 17, 48317, {1, 3, 7, 11, 19, 1, 93, 239, 333, 713, 1525, 813, 5913, 10811, 7077, 20573, 86999}},
{11410, 17, 48329, {1, 3, 1, 5, 25, 1, 107, 153, 225, 889, 1319, 497, 2193, 11511, 17553, 23733, 83179}},
{11411, 17, 48330, {1, 3, 3, 3, 5, 45, 51, 37, 443, 851, 263, 4067, 2629, 10887, 29081, 30489, 1161}},
{11412, 17, 48337, {1, 1, 3, 9, 25, 19, 115, 31, 347, 641, 1103, 1121, 7051, 14071, 16663, 48517, 24655}},
{11413, 17, 48350, {1, 1, 3, 15, 11, 33, 123, 181, 225, 437, 875, 1997, 209, 5487, 1989, 6745, 38423}},
{11414, 17, 48353, {1, 3, 7, 5, 27, 5, 105, 203, 51, 683, 1523, 347, 6881, 4353, 4531, 29589, 108053}},
{11415, 17, 48360, {1, 1, 3, 9, 15, 33, 127, 145, 125, 429, 915, 1307, 1495, 3553, 26797, 36819, 121375}},
{11416, 17, 48374, {1, 3, 5, 15, 7, 1, 55, 99, 7, 405, 885, 59, 5359, 13969, 32037, 53399, 77293}},
{11417, 17, 48380, {1, 1, 7, 1, 29, 31, 89, 69, 405, 837, 1949, 2337, 1139, 14129, 16867, 15167, 21117}},
{11418, 17, 48405, {1, 1, 3, 5, 3, 25, 61, 175, 135, 109, 959, 501, 13, 16057, 25031, 16321, 27617}},
{11419, 17, 48406, {1, 3, 1, 5, 17, 39, 59, 113, 25, 707, 1641, 3489, 6193, 10085, 13837, 57851, 77475}},
{11420, 17, 48409, {1, 1, 3, 5, 17, 35, 111, 163, 253, 641, 715, 1101, 4411, 10771, 20241, 46415, 114719}},
{11421, 17, 48412, {1, 3, 1, 1, 7, 11, 77, 59, 71, 869, 1505, 751, 4367, 9603, 29735, 7333, 62487}},
{11422, 17, 48416, {1, 3, 7, 9, 3, 51, 93, 195, 497, 659, 1563, 3801, 6933, 9089, 10891, 9853, 93611}},
{11423, 17, 48419, {1, 3, 1, 7, 21, 47, 61, 117, 293, 281, 1547, 3437, 4947, 12119, 21425, 5591, 23951}},
{11424, 17, 48425, {1, 1, 7, 13, 19, 59, 121, 249, 147, 759, 1963, 465, 7785, 7015, 81, 47869, 123845}},
{11425, 17, 48434, {1, 1, 7, 13, 5, 35, 45, 69, 167, 263, 979, 2855, 1845, 5531, 17167, 7363, 89233}},
{11426, 17, 48443, {1, 3, 3, 3, 17, 43, 109, 193, 389, 867, 1403, 1271, 7127, 13977, 22547, 53997, 24475}},
{11427, 17, 48445, {1, 1, 1, 5, 25, 43, 47, 163, 417, 967, 819, 2433, 439, 8499, 29705, 32697, 109963}},
{11428, 17, 48453, {1, 1, 1, 15, 19, 5, 83, 237, 431, 697, 1383, 2499, 6907, 9033, 12147, 23479, 17649}},
{11429, 17, 48454, {1, 3, 5, 13, 27, 35, 103, 95, 239, 903, 537, 601, 417, 15859, 16533, 16753, 128229}},
{11430, 17, 48482, {1, 1, 3, 1, 11, 55, 57, 9, 229, 135, 805, 2745, 2023, 12645, 29135, 39051, 17065}},
{11431, 17, 48491, {1, 3, 5, 3, 13, 25, 77, 29, 449, 31, 1733, 1451, 3895, 11551, 1011, 22817, 35959}},
{11432, 17, 48501, {1, 3, 3, 3, 1, 31, 93, 47, 255, 393, 571, 443, 6079, 6245, 11773, 42087, 40651}},
{11433, 17, 48517, {1, 3, 1, 5, 17, 49, 119, 219, 375, 337, 29, 3409, 3187, 15243, 25853, 44385, 103675}},
{11434, 17, 48518, {1, 3, 7, 15, 15, 21, 79, 109, 81, 119, 603, 1665, 7813, 3485, 11801, 48693, 108307}},
{11435, 17, 48545, {1, 1, 1, 15, 9, 5, 103, 141, 181, 841, 7, 1217, 7713, 4843, 9089, 53641, 3029}},
{11436, 17, 48548, {1, 3, 3, 1, 29, 47, 13, 179, 439, 387, 1553, 3141, 947, 4893, 29119, 30865, 14207}},
{11437, 17, 48552, {1, 1, 1, 15, 29, 1, 41, 135, 43, 673, 1527, 883, 3211, 5195, 30219, 47133, 56819}},
{11438, 17, 48569, {1, 3, 5, 13, 13, 47, 97, 219, 277, 397, 1901, 821, 1961, 705, 7291, 19435, 123563}},
{11439, 17, 48575, {1, 1, 7, 15, 5, 49, 93, 59, 221, 205, 115, 559, 5633, 5819, 6923, 18301, 72639}},
{11440, 17, 48580, {1, 3, 5, 13, 29, 49, 25, 203, 125, 385, 487, 1897, 2177, 6859, 6105, 763, 36673}},
{11441, 17, 48584, {1, 3, 3, 9, 23, 63, 9, 115, 489, 89, 1113, 1351, 8181, 2569, 18263, 32619, 24795}},
{11442, 17, 48590, {1, 1, 5, 11, 25, 51, 97, 155, 15, 139, 1275, 3479, 5851, 3099, 7417, 57155, 90185}},
{11443, 17, 48595, {1, 3, 1, 11, 1, 37, 67, 221, 493, 475, 1881, 2277, 4365, 9411, 16629, 65229, 28803}},
{11444, 17, 48602, {1, 3, 1, 1, 15, 53, 39, 141, 453, 151, 335, 795, 1515, 2719, 24197, 21153, 129549}},
{11445, 17, 48604, {1, 1, 1, 7, 19, 31, 59, 123, 73, 149, 469, 1199, 3603, 1539, 29157, 50031, 22109}},
{11446, 17, 48618, {1, 1, 3, 15, 23, 51, 45, 211, 423, 553, 1289, 1125, 6347, 6711, 23761, 14109, 17261}},
{11447, 17, 48625, {1, 3, 5, 13, 5, 7, 35, 185, 263, 791, 161, 325, 4771, 11913, 31595, 56675, 68615}},
{11448, 17, 48626, {1, 1, 5, 9, 19, 27, 89, 147, 55, 197, 1695, 99, 755, 15115, 1933, 41439, 85063}},
{11449, 17, 48638, {1, 1, 7, 7, 17, 11, 103, 55, 281, 707, 1973, 2055, 5015, 5713, 3717, 44149, 8033}},
{11450, 17, 48668, {1, 3, 1, 5, 21, 49, 55, 93, 161, 565, 81, 3241, 3709, 8185, 16935, 60369, 118127}},
{11451, 17, 48677, {1, 3, 7, 9, 27, 1, 105, 133, 397, 351, 1021, 739, 161, 9971, 24733, 29239, 68853}},
{11452, 17, 48678, {1, 1, 7, 1, 1, 19, 97, 243, 73, 969, 313, 399, 2955, 2467, 18265, 60637, 35457}},
{11453, 17, 48687, {1, 3, 1, 11, 29, 25, 35, 35, 469, 143, 1195, 911, 1023, 14685, 10933, 16449, 102113}},
{11454, 17, 48692, {1, 1, 5, 3, 31, 21, 65, 181, 13, 235, 501, 3621, 3567, 8771, 32747, 59231, 91551}},
{11455, 17, 48696, {1, 1, 1, 13, 29, 21, 13, 33, 193, 565, 203, 3927, 4749, 9897, 26109, 14221, 27733}},
{11456, 17, 48704, {1, 1, 1, 5, 29, 41, 7, 125, 391, 295, 533, 2135, 3107, 7711, 27811, 55767, 78821}},
{11457, 17, 48707, {1, 1, 7, 3, 19, 25, 117, 195, 155, 685, 147, 2049, 3751, 4585, 24893, 36895, 80371}},
{11458, 17, 48714, {1, 3, 5, 5, 23, 41, 9, 125, 315, 809, 1019, 1453, 4605, 13753, 30641, 50677, 94781}},
{11459, 17, 48731, {1, 1, 1, 7, 27, 45, 103, 199, 37, 291, 651, 185, 6715, 15387, 30873, 63051, 123231}},
{11460, 17, 48740, {1, 1, 5, 7, 17, 5, 75, 129, 401, 107, 1681, 2039, 299, 12399, 30947, 26327, 91589}},
{11461, 17, 48750, {1, 3, 3, 15, 17, 19, 109, 19, 493, 797, 209, 929, 2821, 395, 22173, 27803, 87953}},
{11462, 17, 48761, {1, 3, 7, 5, 7, 5, 71, 159, 483, 389, 1817, 4093, 963, 4253, 31267, 63919, 62113}},
{11463, 17, 48785, {1, 3, 3, 15, 9, 49, 89, 49, 15, 61, 2041, 2357, 2173, 3349, 32565, 23207, 21177}},
{11464, 17, 48786, {1, 1, 1, 13, 15, 21, 31, 143, 387, 371, 567, 1903, 3793, 9559, 7055, 31251, 13663}},
{11465, 17, 48798, {1, 1, 3, 13, 3, 7, 49, 31, 255, 581, 627, 1947, 2965, 2787, 8275, 59785, 19979}},
{11466, 17, 48807, {1, 3, 3, 13, 29, 47, 53, 133, 301, 253, 1215, 3409, 5745, 247, 31585, 5555, 31011}},
{11467, 17, 48808, {1, 3, 7, 15, 23, 49, 1, 89, 141, 423, 707, 645, 7955, 10485, 27223, 35867, 45461}},
{11468, 17, 48814, {1, 1, 3, 3, 29, 25, 123, 63, 197, 429, 169, 3229, 3797, 4029, 29947, 52781, 16065}},
{11469, 17, 48826, {1, 3, 3, 7, 29, 17, 83, 95, 199, 253, 133, 265, 6723, 6207, 12863, 61311, 21937}},
{11470, 17, 48828, {1, 3, 7, 13, 19, 61, 89, 151, 249, 597, 1389, 717, 5111, 3285, 6251, 50237, 108703}},
{11471, 17, 48834, {1, 3, 5, 11, 1, 23, 35, 61, 143, 45, 625, 1693, 4943, 2213, 9317, 7601, 28359}},
{11472, 17, 48840, {1, 3, 3, 15, 29, 43, 115, 23, 167, 355, 977, 439, 4767, 9967, 22997, 54725, 125637}},
{11473, 17, 48845, {1, 3, 7, 1, 29, 45, 83, 71, 395, 247, 1, 113, 6393, 12445, 16137, 35125, 102053}},
{11474, 17, 48858, {1, 1, 1, 7, 17, 55, 17, 159, 33, 237, 207, 1297, 5611, 6023, 17709, 60905, 3533}},
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{12868, 17, 60671, {1, 1, 7, 5, 29, 63, 7, 59, 417, 547, 17, 3701, 5775, 1079, 26527, 47187, 14827}},
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{12870, 17, 60691, {1, 1, 3, 9, 3, 57, 33, 57, 279, 955, 741, 955, 6501, 8069, 27305, 15363, 34715}},
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{12872, 17, 60700, {1, 3, 7, 1, 3, 19, 27, 201, 261, 421, 1487, 2907, 547, 15791, 7661, 42871, 116343}},
{12873, 17, 60714, {1, 3, 7, 9, 5, 59, 51, 91, 7, 399, 2001, 661, 6577, 7473, 5439, 29073, 3391}},
{12874, 17, 60724, {1, 1, 7, 1, 23, 39, 119, 105, 113, 913, 1097, 2547, 8143, 11409, 23197, 59527, 55677}},
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{12881, 17, 60754, {1, 3, 1, 13, 27, 27, 99, 25, 189, 129, 1831, 1005, 8119, 2557, 26985, 63447, 89693}},
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{12883, 17, 60784, {1, 1, 5, 5, 29, 53, 75, 243, 35, 461, 1399, 129, 177, 6533, 22209, 23503, 43819}},
{12884, 17, 60790, {1, 3, 7, 7, 31, 37, 109, 9, 255, 263, 35, 3451, 7629, 9849, 10387, 3165, 120623}},
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{12889, 17, 60846, {1, 1, 1, 15, 15, 7, 37, 133, 81, 815, 893, 2281, 2459, 15325, 20107, 2289, 34535}},
{12890, 17, 60851, {1, 1, 5, 11, 17, 3, 45, 159, 409, 643, 969, 1289, 4353, 10465, 16233, 55561, 111667}},
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{12898, 17, 60942, {1, 1, 5, 11, 21, 23, 105, 31, 125, 5, 1721, 1503, 7807, 13093, 24873, 18467, 30183}},
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{12900, 17, 60956, {1, 1, 3, 15, 21, 5, 93, 61, 103, 945, 935, 115, 1281, 7735, 20723, 37211, 50039}},
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{12908, 17, 61012, {1, 1, 3, 15, 9, 9, 57, 197, 115, 73, 1277, 1727, 5275, 11897, 12157, 34763, 58273}},
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{12910, 17, 61025, {1, 1, 3, 7, 23, 29, 121, 29, 439, 795, 1469, 523, 7767, 12061, 15613, 57343, 21291}},
{12911, 17, 61026, {1, 1, 1, 9, 25, 29, 15, 165, 383, 233, 91, 2065, 2741, 7809, 5325, 48581, 65551}},
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{12913, 17, 61040, {1, 1, 1, 15, 13, 43, 75, 157, 267, 519, 1231, 929, 1585, 16137, 1045, 4353, 63473}},
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{12920, 17, 61096, {1, 3, 7, 11, 5, 23, 71, 9, 99, 947, 1141, 1651, 1903, 13607, 15433, 55005, 127639}},
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{12922, 17, 61124, {1, 1, 3, 3, 23, 7, 21, 47, 367, 871, 1647, 2183, 2615, 2257, 30447, 25761, 110221}},
{12923, 17, 61127, {1, 3, 7, 15, 13, 51, 115, 19, 277, 463, 475, 3467, 7313, 2477, 10841, 13585, 61449}},
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{12979, 17, 61622, {1, 3, 7, 3, 25, 41, 127, 23, 113, 807, 387, 3529, 2173, 11217, 21257, 61169, 47749}},
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{19291, 18, 98929, {1, 3, 3, 7, 7, 53, 29, 75, 171, 587, 1701, 3815, 2761, 4403, 39, 17291, 34897, 187257}},
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{19293, 18, 98975, {1, 1, 7, 5, 9, 59, 27, 153, 37, 165, 823, 3525, 621, 4777, 3485, 9109, 116567, 34691}},
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{19295, 18, 98981, {1, 3, 7, 15, 31, 15, 3, 163, 167, 53, 71, 1881, 4213, 3485, 21525, 705, 122345, 203549}},
{19296, 18, 98999, {1, 3, 5, 5, 21, 33, 85, 133, 21, 505, 1639, 3989, 771, 7171, 21953, 34503, 31247, 247459}},
{19297, 18, 99020, {1, 1, 7, 7, 31, 1, 27, 39, 469, 243, 679, 4091, 7137, 8505, 13329, 34139, 69485, 259795}},
{19298, 18, 99026, {1, 3, 5, 5, 31, 43, 31, 161, 413, 657, 1407, 1417, 7349, 3301, 7691, 49355, 22929, 68043}},
{19299, 18, 99054, {1, 1, 7, 11, 15, 61, 73, 217, 163, 503, 193, 3795, 41, 16251, 1187, 65363, 113211, 100337}},
{19300, 18, 99083, {1, 3, 1, 11, 9, 15, 109, 187, 109, 865, 845, 1579, 321, 1269, 20613, 5693, 58421, 254959}},
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{19305, 18, 99159, {1, 3, 5, 3, 9, 31, 9, 55, 421, 109, 1823, 1921, 7349, 2661, 4503, 36691, 48843, 182631}},
{19306, 18, 99165, {1, 1, 1, 11, 7, 23, 107, 125, 393, 105, 1407, 3461, 4539, 6121, 7881, 32407, 83749, 98831}},
{19307, 18, 99170, {1, 3, 3, 13, 5, 59, 5, 3, 185, 959, 241, 819, 1443, 1789, 12771, 26703, 25399, 182583}},
{19308, 18, 99189, {1, 1, 1, 3, 3, 47, 7, 45, 93, 373, 175, 87, 649, 12903, 5029, 1945, 111967, 140889}},
{19309, 18, 99223, {1, 3, 1, 11, 9, 47, 25, 191, 215, 845, 1557, 9, 3451, 5837, 11763, 29127, 113115, 99039}},
{19310, 18, 99227, {1, 1, 1, 5, 23, 53, 45, 1, 361, 751, 807, 1765, 685, 2109, 28437, 60489, 65739, 234511}},
{19311, 18, 99271, {1, 3, 3, 7, 15, 57, 71, 61, 195, 123, 1745, 3249, 351, 14309, 2017, 15653, 110803, 45937}},
{19312, 18, 99277, {1, 3, 7, 9, 25, 11, 25, 29, 467, 313, 1927, 2423, 7311, 14299, 8145, 8123, 115103, 213881}},
{19313, 18, 99278, {1, 1, 3, 15, 1, 35, 111, 99, 507, 417, 1433, 129, 5565, 13365, 18853, 8607, 109739, 120623}},
{19314, 18, 99313, {1, 1, 1, 7, 13, 31, 93, 3, 327, 67, 1101, 1965, 5939, 6505, 3117, 3021, 33707, 79353}},
{19315, 18, 99314, {1, 1, 3, 7, 15, 21, 23, 117, 367, 137, 287, 903, 4685, 13943, 26779, 24607, 70853, 99743}},
{19316, 18, 99345, {1, 1, 7, 11, 25, 43, 67, 181, 459, 737, 1567, 3491, 5085, 6487, 23115, 62341, 102943, 77301}},
{19317, 18, 99361, {1, 1, 3, 15, 7, 35, 81, 199, 455, 851, 835, 3421, 4675, 15173, 9205, 7305, 109849, 15183}},
{19318, 18, 99367, {1, 3, 5, 11, 9, 55, 3, 53, 235, 271, 1265, 3681, 3627, 3485, 11591, 53097, 85949, 158173}},
{19319, 18, 99386, {1, 3, 7, 3, 15, 27, 57, 183, 487, 9, 1797, 2973, 3687, 12987, 9133, 14595, 52067, 131217}},
{19320, 18, 99394, {1, 1, 5, 3, 7, 25, 19, 215, 291, 325, 813, 577, 4249, 10373, 17233, 29557, 72979, 70721}},
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{19322, 18, 99418, {1, 3, 5, 11, 13, 59, 9, 121, 489, 593, 1503, 601, 5263, 13837, 20991, 35761, 45867, 155905}},
{19323, 18, 99453, {1, 1, 3, 3, 19, 47, 127, 115, 267, 261, 969, 961, 5919, 10085, 29363, 4935, 100485, 75561}},
{19324, 18, 99454, {1, 3, 1, 15, 11, 53, 39, 187, 53, 11, 1951, 913, 965, 2565, 5457, 3237, 24923, 245681}},
{19325, 18, 99477, {1, 1, 7, 3, 15, 5, 25, 45, 17, 45, 1317, 1853, 6627, 15879, 29935, 24749, 118149, 35359}},
{19326, 18, 99518, {1, 1, 7, 1, 21, 45, 67, 71, 25, 743, 925, 3441, 3013, 1613, 6321, 12491, 119931, 164701}},
{19327, 18, 99544, {1, 1, 7, 1, 13, 15, 35, 187, 91, 995, 401, 2443, 4183, 10823, 20589, 27413, 117095, 20359}},
{19328, 18, 99559, {1, 3, 3, 7, 15, 51, 55, 167, 409, 859, 719, 3223, 2457, 16013, 13639, 4027, 79339, 225113}},
{19329, 18, 99592, {1, 3, 1, 9, 3, 29, 105, 193, 279, 27, 1093, 2199, 6983, 619, 10163, 40365, 71015, 102191}},
{19330, 18, 99597, {1, 1, 3, 9, 29, 5, 33, 247, 27, 299, 2017, 379, 6199, 15047, 18329, 3493, 47679, 76703}},
{19331, 18, 99603, {1, 3, 5, 5, 9, 19, 51, 129, 157, 831, 1373, 653, 7489, 13125, 1815, 10915, 88679, 50269}},
{19332, 18, 99621, {1, 3, 3, 9, 9, 49, 79, 11, 181, 679, 1697, 3707, 205, 13305, 6293, 56653, 42619, 116257}},
{19333, 18, 99646, {1, 1, 5, 9, 23, 41, 17, 135, 145, 715, 257, 1561, 6941, 2411, 31459, 25055, 35807, 51579}},
{19334, 18, 99693, {1, 1, 1, 7, 11, 13, 49, 155, 403, 569, 751, 2959, 425, 13949, 22047, 49829, 71925, 101647}},
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{19338, 18, 99789, {1, 1, 1, 5, 27, 51, 9, 217, 393, 671, 931, 433, 7303, 16295, 6727, 5703, 88241, 132665}},
{19339, 18, 99804, {1, 1, 7, 13, 21, 33, 19, 241, 497, 519, 1413, 489, 4975, 1345, 24925, 40383, 110815, 136217}},
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{19353, 18, 100070, {1, 3, 3, 1, 9, 19, 83, 13, 37, 725, 1597, 1117, 8067, 8085, 1315, 41813, 8973, 175525}},
{19354, 18, 100076, {1, 1, 5, 3, 13, 39, 3, 213, 335, 907, 1143, 1729, 601, 11255, 24351, 41045, 11335, 186221}},
{19355, 18, 100084, {1, 3, 3, 9, 17, 11, 29, 33, 303, 815, 1607, 2403, 8095, 4213, 16697, 64733, 24439, 93081}},
{19356, 18, 100096, {1, 1, 1, 3, 13, 37, 35, 181, 243, 645, 1915, 3521, 569, 3005, 7271, 32755, 64575, 119813}},
{19357, 18, 100105, {1, 1, 5, 13, 25, 59, 77, 121, 459, 755, 385, 1893, 1227, 9957, 5069, 40063, 27261, 4703}},
{19358, 18, 100108, {1, 3, 1, 3, 29, 41, 95, 255, 219, 21, 317, 3021, 2615, 5101, 19413, 25795, 6521, 157749}},
{19359, 18, 100123, {1, 3, 3, 5, 7, 33, 7, 205, 415, 23, 1431, 117, 1605, 9541, 11825, 49195, 86341, 99673}},
{19360, 18, 100132, {1, 3, 3, 5, 17, 37, 33, 209, 49, 161, 321, 3697, 6483, 12859, 895, 675, 1899, 260289}},
{19361, 18, 100141, {1, 1, 3, 15, 1, 27, 83, 125, 309, 553, 505, 2209, 4931, 2593, 28253, 12879, 74971, 9047}},
{19362, 18, 100181, {1, 3, 7, 3, 15, 3, 105, 19, 41, 119, 149, 3847, 6593, 875, 23777, 4547, 57717, 139387}},
{19363, 18, 100191, {1, 1, 1, 3, 9, 43, 25, 15, 67, 609, 951, 273, 8095, 621, 24819, 17233, 53423, 192757}},
{19364, 18, 100202, {1, 3, 5, 3, 9, 49, 107, 215, 245, 217, 545, 2285, 2075, 401, 26599, 32967, 130457, 203755}},
{19365, 18, 100216, {1, 1, 5, 1, 7, 31, 87, 181, 135, 155, 9, 1431, 307, 13367, 31147, 10327, 2817, 63327}},
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{19367, 18, 100256, {1, 3, 7, 11, 31, 63, 105, 169, 257, 225, 711, 2041, 1519, 11801, 18543, 35173, 92125, 72729}},
{19368, 18, 100271, {1, 1, 3, 3, 11, 13, 127, 231, 229, 809, 303, 1167, 47, 4281, 2373, 10455, 74685, 131775}},
{19369, 18, 100285, {1, 1, 5, 15, 1, 5, 97, 139, 189, 39, 37, 3513, 2119, 1453, 11477, 45477, 75613, 169915}},
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{19373, 18, 100331, {1, 3, 3, 1, 11, 53, 99, 95, 63, 503, 1361, 3231, 2445, 5073, 4667, 33033, 4575, 139475}},
{19374, 18, 100334, {1, 3, 3, 5, 19, 57, 15, 115, 125, 1017, 1913, 907, 2461, 3229, 16591, 6591, 26385, 228661}},
{19375, 18, 100345, {1, 3, 1, 11, 27, 19, 7, 121, 245, 997, 1743, 2571, 1333, 9603, 27811, 42081, 44365, 94943}},
{19376, 18, 100346, {1, 3, 1, 1, 13, 5, 127, 217, 63, 137, 989, 1441, 1133, 8273, 18091, 22243, 122931, 28867}},
{19377, 18, 100369, {1, 1, 7, 15, 23, 39, 57, 83, 321, 817, 819, 223, 4803, 6935, 2027, 20373, 119683, 29781}},
{19378, 18, 100372, {1, 1, 7, 7, 9, 1, 55, 211, 455, 283, 1647, 471, 4351, 14119, 6945, 63117, 109687, 200165}},
{19379, 18, 100382, {1, 1, 7, 7, 29, 45, 113, 253, 135, 375, 1091, 959, 1423, 1241, 31689, 33751, 73459, 91769}},
{19380, 18, 100403, {1, 3, 5, 11, 23, 63, 55, 181, 453, 267, 995, 1309, 2847, 3791, 21683, 59809, 81891, 132635}},
{19381, 18, 100451, {1, 1, 1, 13, 17, 37, 87, 17, 61, 689, 1895, 3877, 4717, 6447, 22329, 1619, 30069, 190887}},
{19382, 18, 100488, {1, 3, 1, 7, 27, 61, 17, 51, 99, 909, 85, 951, 107, 1923, 35, 63389, 90273, 152643}},
{19383, 18, 100499, {1, 1, 1, 1, 15, 39, 77, 255, 191, 613, 655, 1881, 267, 3927, 18025, 13825, 15381, 169193}},
{19384, 18, 100501, {1, 3, 3, 1, 31, 17, 73, 69, 231, 221, 501, 3755, 1671, 2049, 22493, 16353, 1775, 181783}},
{19385, 18, 100511, {1, 1, 7, 5, 31, 45, 125, 189, 287, 487, 1911, 3133, 3257, 8967, 21295, 1247, 72297, 68269}},
{19386, 18, 100536, {1, 3, 3, 1, 7, 9, 123, 147, 7, 381, 1597, 1289, 7831, 14493, 21145, 15487, 70353, 147891}},
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{19388, 18, 100652, {1, 1, 3, 9, 3, 27, 7, 41, 43, 743, 131, 705, 2607, 9963, 26367, 41191, 126347, 164291}},
{19389, 18, 100655, {1, 3, 3, 15, 7, 17, 97, 153, 283, 461, 1723, 2421, 4973, 16369, 30633, 62299, 119425, 3591}},
{19390, 18, 100669, {1, 1, 1, 13, 7, 33, 95, 255, 429, 693, 849, 3783, 5985, 8551, 23227, 1015, 109023, 42493}},
{19391, 18, 100687, {1, 3, 1, 7, 3, 43, 53, 137, 413, 265, 2033, 1347, 335, 529, 24751, 16443, 122195, 158951}},
{19392, 18, 100692, {1, 1, 5, 9, 27, 21, 83, 185, 325, 557, 1247, 2739, 6925, 5459, 26027, 62217, 61113, 197743}},
{19393, 18, 100696, {1, 1, 3, 13, 9, 57, 79, 133, 137, 851, 863, 1605, 7839, 11809, 29941, 20473, 6687, 164479}},
{19394, 18, 100701, {1, 1, 3, 9, 9, 51, 123, 29, 139, 43, 1329, 2701, 3413, 3875, 19673, 62369, 10529, 226525}},
{19395, 18, 100706, {1, 3, 1, 5, 25, 47, 7, 201, 119, 623, 9, 25, 1713, 10817, 8201, 5847, 77477, 237883}},
{19396, 18, 100711, {1, 1, 5, 13, 15, 53, 39, 93, 235, 619, 1695, 2389, 2571, 2389, 4619, 45769, 17245, 69973}},
{19397, 18, 100726, {1, 1, 7, 1, 31, 9, 75, 143, 1, 67, 809, 1037, 2801, 16129, 22443, 26021, 119683, 14681}},
{19398, 18, 100754, {1, 3, 1, 9, 23, 49, 69, 71, 139, 953, 1053, 3059, 1061, 5881, 26207, 15907, 79389, 95341}},
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{19402, 18, 100878, {1, 1, 1, 3, 17, 45, 91, 45, 231, 611, 413, 2321, 7181, 13765, 7791, 6973, 24497, 231795}},
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{19405, 18, 100886, {1, 3, 7, 3, 27, 31, 57, 135, 507, 177, 1455, 1963, 4473, 6449, 727, 49853, 65275, 237531}},
{19406, 18, 100943, {1, 3, 7, 11, 31, 21, 111, 231, 269, 27, 719, 3275, 2489, 3689, 3425, 23763, 39413, 64565}},
{19407, 18, 100948, {1, 1, 1, 11, 23, 27, 31, 153, 201, 985, 1553, 3061, 7663, 4079, 13549, 48765, 64169, 68223}},
{19408, 18, 100957, {1, 1, 7, 15, 11, 53, 125, 23, 73, 799, 591, 665, 127, 3941, 11251, 12649, 2657, 230923}},
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{19410, 18, 100968, {1, 3, 1, 13, 19, 31, 11, 91, 179, 425, 1395, 1439, 2723, 401, 26779, 36723, 115743, 179653}},
{19411, 18, 100981, {1, 1, 3, 1, 29, 35, 11, 217, 301, 421, 765, 1949, 5475, 2247, 3953, 27091, 16895, 194821}},
{19412, 18, 100986, {1, 1, 5, 9, 11, 21, 95, 135, 127, 65, 609, 3893, 7143, 13231, 29199, 36205, 38711, 159599}},
{19413, 18, 101001, {1, 3, 5, 13, 25, 25, 101, 221, 495, 993, 961, 2575, 907, 5277, 18415, 1797, 22043, 129889}},
{19414, 18, 101012, {1, 1, 1, 15, 21, 21, 99, 3, 175, 735, 659, 543, 7573, 15549, 14067, 60009, 65785, 112927}},
{19415, 18, 101015, {1, 3, 7, 7, 3, 39, 61, 203, 143, 581, 487, 2097, 3943, 6869, 14435, 46431, 101781, 233067}},
{19416, 18, 101019, {1, 1, 3, 1, 13, 27, 21, 147, 295, 89, 1845, 1017, 4621, 10029, 3517, 25371, 104531, 225179}},
{19417, 18, 101037, {1, 1, 3, 11, 25, 51, 45, 179, 299, 487, 2039, 85, 4643, 8211, 12051, 64819, 93481, 159511}},
{19418, 18, 101063, {1, 1, 5, 3, 21, 7, 73, 193, 415, 7, 125, 2487, 7369, 2043, 7633, 19265, 65337, 57399}},
{19419, 18, 101105, {1, 1, 5, 3, 3, 53, 51, 169, 313, 973, 1549, 243, 3155, 13827, 24971, 61393, 15147, 187397}},
{19420, 18, 101144, {1, 3, 3, 3, 29, 33, 91, 41, 367, 77, 1259, 1703, 2105, 14473, 17763, 29809, 47777, 205553}},
{19421, 18, 101147, {1, 3, 7, 3, 23, 61, 59, 235, 51, 41, 417, 691, 2953, 15577, 32283, 2793, 109557, 64729}},
{19422, 18, 101154, {1, 1, 5, 9, 13, 17, 93, 201, 151, 323, 1481, 3645, 3039, 5131, 503, 42055, 114939, 198755}},
{19423, 18, 101163, {1, 3, 5, 1, 21, 53, 75, 29, 283, 541, 499, 309, 1923, 995, 21479, 56183, 103743, 152113}},
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{19567, 18, 103432, {1, 1, 5, 3, 29, 49, 11, 205, 279, 821, 725, 2425, 443, 211, 6347, 59845, 90763, 237911}},
{19568, 18, 103446, {1, 1, 3, 9, 31, 7, 49, 1, 229, 755, 517, 809, 2955, 3571, 2385, 33097, 19659, 55397}},
{19569, 18, 103455, {1, 3, 5, 3, 5, 21, 67, 227, 359, 401, 1697, 2131, 4585, 2661, 3659, 22621, 51639, 245877}},
{19570, 18, 103471, {1, 1, 7, 5, 11, 7, 57, 133, 9, 917, 427, 2777, 6009, 11393, 29473, 59311, 77095, 176215}},
{19571, 18, 103474, {1, 1, 7, 5, 13, 29, 101, 15, 293, 7, 797, 437, 3739, 3369, 16917, 19047, 17773, 219541}},
{19572, 18, 103476, {1, 3, 1, 9, 13, 51, 15, 19, 209, 991, 413, 787, 3797, 14029, 23699, 8591, 40429, 56115}},
{19573, 18, 103515, {1, 3, 7, 3, 31, 9, 77, 33, 487, 155, 1903, 3023, 8163, 385, 4703, 57511, 102083, 85785}},
{19574, 18, 103527, {1, 1, 5, 11, 17, 59, 115, 73, 89, 723, 1523, 2671, 1755, 3463, 19861, 31573, 126405, 90215}},
{19575, 18, 103542, {1, 3, 3, 13, 17, 27, 123, 37, 71, 173, 203, 1245, 7905, 8955, 22589, 56705, 120473, 90129}},
{19576, 18, 103562, {1, 3, 3, 1, 17, 63, 55, 225, 259, 531, 1493, 2639, 1319, 10865, 17993, 11205, 13253, 111261}},
{19577, 18, 103569, {1, 1, 1, 11, 25, 17, 41, 45, 385, 1009, 1573, 1797, 527, 543, 14743, 35789, 63871, 112183}},
{19578, 18, 103572, {1, 1, 7, 15, 15, 57, 109, 127, 143, 955, 1091, 2585, 3429, 11763, 5849, 53805, 116865, 68895}},
{19579, 18, 103581, {1, 1, 7, 15, 9, 11, 1, 9, 491, 765, 1835, 3825, 5043, 13091, 4123, 19621, 17687, 241015}},
{19580, 18, 103609, {1, 3, 5, 7, 25, 51, 117, 193, 91, 451, 1871, 3819, 1881, 8065, 25809, 36257, 107955, 37109}},
{19581, 18, 103612, {1, 3, 1, 15, 5, 5, 101, 7, 59, 859, 977, 2673, 2825, 3291, 26283, 23467, 28383, 257775}},
{19582, 18, 103618, {1, 3, 3, 15, 17, 43, 87, 191, 85, 829, 653, 327, 1773, 10101, 2707, 18341, 61435, 242215}},
{19583, 18, 103637, {1, 3, 7, 13, 27, 43, 127, 253, 403, 81, 505, 2841, 1509, 4951, 23791, 18099, 46747, 192717}},
{19584, 18, 103644, {1, 1, 1, 9, 31, 15, 127, 29, 171, 999, 1919, 4059, 2781, 2475, 8997, 15459, 37003, 217141}},
{19585, 18, 103653, {1, 3, 3, 1, 31, 41, 67, 31, 171, 719, 789, 645, 3925, 11117, 1241, 63221, 1087, 59789}},
{19586, 18, 103663, {1, 1, 1, 9, 17, 41, 107, 13, 405, 879, 1955, 3309, 1281, 10601, 13883, 43987, 111691, 130555}},
{19587, 18, 103671, {1, 3, 7, 9, 21, 17, 127, 243, 51, 689, 1945, 3769, 7121, 7703, 16825, 34893, 32167, 20167}},
{19588, 18, 103678, {1, 1, 1, 5, 7, 7, 61, 149, 75, 289, 717, 1951, 5917, 13375, 15683, 27507, 10897, 199009}},
{19589, 18, 103695, {1, 3, 7, 9, 25, 61, 43, 167, 45, 299, 5, 125, 3289, 13685, 10843, 25535, 98383, 143401}},
{19590, 18, 103698, {1, 1, 3, 15, 21, 27, 37, 45, 233, 179, 611, 3025, 7887, 9421, 16791, 17147, 49013, 33249}},
{19591, 18, 103720, {1, 3, 7, 15, 19, 43, 43, 9, 255, 295, 649, 811, 1303, 1989, 5401, 53891, 42679, 66879}},
{19592, 18, 103723, {1, 1, 7, 7, 25, 31, 89, 199, 455, 733, 295, 1157, 4375, 7341, 7823, 6025, 56311, 257579}},
{19593, 18, 103738, {1, 1, 7, 3, 1, 51, 15, 29, 35, 917, 1839, 741, 1089, 8615, 4967, 34047, 32981, 200693}},
{19594, 18, 103743, {1, 3, 3, 11, 21, 13, 71, 53, 315, 801, 1015, 3829, 2297, 6649, 28501, 18173, 83121, 107195}},
{19595, 18, 103745, {1, 1, 7, 7, 1, 5, 127, 103, 435, 707, 7, 1045, 187, 10927, 32395, 24999, 58463, 94069}},
{19596, 18, 103757, {1, 1, 7, 9, 11, 25, 73, 57, 231, 455, 1033, 2899, 2861, 8811, 21671, 16115, 97807, 221791}},
{19597, 18, 103810, {1, 3, 5, 11, 11, 19, 105, 37, 181, 1, 1231, 2275, 4789, 13071, 24843, 25901, 123711, 145609}},
{19598, 18, 103822, {1, 3, 7, 13, 7, 7, 21, 215, 393, 43, 1713, 2921, 1959, 14417, 17109, 55793, 36285, 81731}},
{19599, 18, 103855, {1, 1, 5, 15, 29, 15, 5, 115, 15, 795, 1535, 2473, 3663, 10123, 20721, 32739, 21141, 217731}},
{19600, 18, 103887, {1, 1, 3, 1, 15, 13, 21, 49, 293, 689, 985, 3949, 3329, 7167, 16925, 15069, 47345, 192749}},
{19601, 18, 103905, {1, 3, 3, 7, 5, 27, 85, 11, 337, 651, 777, 1775, 5279, 15229, 21473, 36561, 85293, 27893}},
{19602, 18, 103915, {1, 3, 7, 1, 15, 29, 7, 199, 71, 893, 1587, 1831, 3891, 3299, 14323, 23165, 28199, 84055}},
{19603, 18, 103925, {1, 1, 1, 7, 9, 27, 15, 75, 497, 127, 433, 1781, 3711, 12659, 3765, 40827, 112425, 36281}},
{19604, 18, 103929, {1, 1, 5, 1, 31, 59, 9, 91, 301, 217, 2013, 2015, 265, 3795, 14609, 13389, 5451, 260169}},
{19605, 18, 103945, {1, 1, 1, 15, 19, 43, 85, 37, 33, 687, 1253, 2615, 4027, 3741, 13971, 21261, 106261, 204233}},
{19606, 18, 103954, {1, 1, 7, 9, 31, 45, 105, 111, 207, 433, 633, 3949, 8057, 5049, 23657, 12227, 86251, 218077}},
{19607, 18, 103969, {1, 3, 5, 11, 13, 33, 1, 67, 117, 595, 1835, 287, 2509, 14841, 1525, 15761, 61319, 182531}},
{19608, 18, 104011, {1, 1, 3, 9, 7, 43, 105, 85, 17, 349, 1769, 3945, 31, 4907, 9373, 22447, 70905, 29189}},
{19609, 18, 104055, {1, 1, 5, 5, 9, 19, 93, 179, 95, 255, 1807, 2717, 4757, 15025, 19479, 63499, 42441, 236519}},
{19610, 18, 104111, {1, 1, 1, 1, 21, 35, 1, 101, 343, 1023, 1311, 347, 301, 8419, 23367, 31543, 51661, 148277}},
{19611, 18, 104116, {1, 1, 7, 11, 23, 37, 113, 207, 147, 743, 1905, 1683, 3733, 5659, 22491, 62129, 111671, 227019}},
{19612, 18, 104125, {1, 1, 3, 13, 27, 5, 21, 207, 445, 319, 1355, 2541, 2853, 583, 1261, 64477, 18337, 91611}},
{19613, 18, 104145, {1, 3, 5, 3, 1, 31, 51, 55, 487, 735, 1599, 523, 5323, 10855, 28717, 62103, 18671, 143885}},
{19614, 18, 104162, {1, 3, 1, 1, 15, 5, 79, 107, 173, 747, 1213, 1151, 875, 12759, 27115, 16403, 31349, 208909}},
{19615, 18, 104176, {1, 3, 5, 9, 13, 57, 35, 121, 135, 237, 1707, 3655, 8109, 3623, 5119, 27645, 49401, 46453}},
{19616, 18, 104193, {1, 3, 7, 11, 27, 3, 103, 231, 43, 515, 1279, 499, 1355, 2605, 11587, 33641, 81661, 29441}},
{19617, 18, 104199, {1, 3, 5, 7, 13, 27, 55, 191, 81, 185, 527, 519, 4555, 3349, 24533, 60635, 40009, 230761}},
{19618, 18, 104224, {1, 1, 5, 3, 13, 35, 75, 211, 67, 305, 705, 543, 3819, 16265, 9867, 64309, 35047, 24873}},
{19619, 18, 104236, {1, 3, 1, 1, 11, 37, 75, 3, 145, 327, 1243, 3291, 7127, 5009, 7757, 59567, 90459, 98035}},
{19620, 18, 104247, {1, 3, 5, 9, 9, 5, 71, 29, 243, 41, 447, 2597, 1243, 12899, 19681, 30523, 90799, 142279}},
{19621, 18, 104254, {1, 3, 3, 3, 15, 21, 25, 101, 451, 651, 143, 3899, 3377, 4855, 23843, 25047, 87951, 239229}},
{19622, 18, 104289, {1, 1, 1, 1, 23, 29, 25, 31, 227, 43, 399, 723, 693, 12379, 11343, 46123, 105435, 224997}},
{19623, 18, 104325, {1, 1, 7, 3, 21, 47, 77, 57, 397, 689, 267, 813, 1279, 1727, 7451, 34025, 90273, 111663}},
{19624, 18, 104332, {1, 1, 5, 3, 25, 61, 7, 137, 271, 723, 495, 2575, 3695, 4947, 31973, 47835, 107003, 221839}},
{19625, 18, 104335, {1, 3, 1, 7, 5, 25, 21, 95, 323, 3, 613, 1721, 2551, 8803, 6803, 52765, 34543, 110945}},
{19626, 18, 104353, {1, 3, 5, 9, 27, 23, 123, 193, 63, 161, 1395, 679, 161, 13719, 29321, 19243, 51947, 229547}},
{19627, 18, 104363, {1, 3, 5, 15, 15, 37, 127, 103, 439, 513, 989, 1393, 3761, 9109, 20649, 18171, 69939, 117447}},
{19628, 18, 104371, {1, 1, 7, 9, 7, 57, 87, 159, 195, 821, 57, 2469, 7693, 6759, 32595, 41109, 94785, 53381}},
{19629, 18, 104373, {1, 3, 3, 7, 17, 63, 41, 7, 437, 469, 1453, 3741, 7591, 5563, 11819, 23861, 129777, 119731}},
{19630, 18, 104406, {1, 1, 3, 3, 27, 55, 21, 145, 243, 991, 687, 909, 2105, 4485, 9095, 3677, 53819, 183027}},
{19631, 18, 104412, {1, 1, 1, 15, 13, 61, 27, 81, 95, 37, 1439, 973, 7613, 5749, 16811, 26801, 105745, 8847}},
{19632, 18, 104440, {1, 3, 1, 9, 15, 17, 111, 61, 27, 373, 89, 2729, 6397, 4899, 11297, 4403, 30657, 207379}},
{19633, 18, 104459, {1, 3, 5, 15, 19, 9, 19, 19, 497, 667, 105, 601, 6715, 6355, 4231, 19241, 101771, 105651}},
{19634, 18, 104461, {1, 1, 3, 9, 11, 11, 115, 109, 177, 753, 997, 2119, 5969, 13377, 13285, 25373, 105023, 158393}},
{19635, 18, 104469, {1, 3, 5, 15, 27, 23, 19, 117, 129, 457, 1973, 2171, 8071, 2093, 13407, 9295, 82967, 184753}},
{19636, 18, 104479, {1, 1, 7, 5, 1, 45, 9, 25, 307, 629, 1169, 2859, 3987, 11411, 13609, 44993, 26019, 107003}},
{19637, 18, 104483, {1, 1, 1, 13, 29, 15, 13, 163, 203, 885, 281, 1605, 8001, 899, 4081, 65467, 61283, 198963}},
{19638, 18, 104490, {1, 1, 3, 5, 27, 9, 89, 193, 375, 633, 1807, 2069, 3467, 3167, 23751, 39115, 90093, 190365}},
{19639, 18, 104500, {1, 3, 3, 5, 1, 1, 19, 161, 21, 745, 493, 2227, 7993, 3337, 27041, 4817, 58963, 237015}},
{19640, 18, 104536, {1, 3, 5, 15, 15, 45, 51, 145, 299, 787, 1059, 2407, 1143, 775, 17473, 22235, 18241, 103897}},
{19641, 18, 104560, {1, 1, 1, 9, 11, 35, 75, 195, 281, 935, 113, 3009, 4797, 7221, 12475, 18563, 10315, 255541}},
{19642, 18, 104569, {1, 1, 5, 7, 25, 9, 121, 179, 303, 511, 2041, 1485, 529, 13843, 29013, 28139, 63237, 21259}},
{19643, 18, 104588, {1, 3, 7, 11, 9, 21, 61, 177, 63, 179, 679, 17, 4069, 8929, 14499, 53913, 27925, 48449}},
{19644, 18, 104591, {1, 3, 5, 3, 9, 27, 111, 247, 253, 175, 1591, 3583, 3351, 9039, 597, 23859, 126585, 157367}},
{19645, 18, 104621, {1, 1, 7, 9, 1, 9, 29, 1, 273, 89, 767, 1873, 39, 10487, 29857, 23577, 67457, 44571}},
{19646, 18, 104661, {1, 1, 7, 5, 5, 23, 13, 181, 283, 333, 21, 1409, 5937, 8981, 7445, 61267, 21729, 32677}},
{19647, 18, 104675, {1, 3, 1, 15, 31, 5, 45, 253, 179, 91, 341, 359, 4269, 7567, 23699, 30589, 42909, 126171}},
{19648, 18, 104684, {1, 3, 7, 7, 23, 45, 15, 93, 115, 873, 49, 845, 827, 14357, 20163, 41565, 37105, 120331}},
{19649, 18, 104713, {1, 1, 7, 7, 15, 25, 55, 175, 11, 457, 1537, 1937, 807, 11399, 27751, 16935, 75231, 204039}},
{19650, 18, 104747, {1, 3, 7, 13, 1, 37, 67, 145, 471, 1013, 1273, 4093, 4449, 4433, 29063, 205, 93249, 140383}},
{19651, 18, 104750, {1, 3, 1, 13, 1, 57, 85, 223, 349, 125, 863, 2179, 7813, 8817, 1767, 19169, 41367, 65883}},
{19652, 18, 104757, {1, 3, 3, 15, 21, 39, 3, 31, 67, 505, 271, 505, 5495, 4183, 3631, 4567, 48061, 149565}},
{19653, 18, 104775, {1, 1, 7, 11, 13, 39, 109, 201, 287, 1013, 1505, 3105, 3845, 1963, 4361, 61753, 29145, 146235}},
{19654, 18, 104782, {1, 3, 5, 3, 29, 39, 71, 99, 501, 53, 835, 3295, 5335, 1017, 25913, 63637, 115353, 210509}},
{19655, 18, 104803, {1, 3, 1, 13, 9, 53, 33, 177, 419, 63, 793, 1329, 2261, 11633, 18805, 49771, 47533, 74949}},
{19656, 18, 104820, {1, 3, 7, 11, 7, 49, 123, 237, 195, 17, 1919, 1911, 4135, 11829, 26307, 34905, 114361, 228655}},
{19657, 18, 104824, {1, 3, 5, 3, 5, 57, 65, 161, 195, 857, 1187, 2303, 1975, 2555, 26065, 17963, 57403, 136193}},
{19658, 18, 104829, {1, 1, 3, 11, 1, 5, 105, 217, 229, 769, 1393, 2419, 7751, 14293, 9407, 4569, 30663, 89345}},
{19659, 18, 104830, {1, 3, 3, 7, 23, 15, 15, 189, 67, 863, 485, 2435, 5145, 10537, 16485, 50369, 118245, 253201}},
{19660, 18, 104836, {1, 1, 1, 5, 27, 27, 47, 129, 383, 227, 115, 3027, 1575, 15765, 10207, 4885, 125707, 184703}},
{19661, 18, 104851, {1, 3, 5, 5, 17, 9, 45, 55, 151, 751, 415, 2139, 8071, 2309, 27641, 29743, 47183, 21437}},
{19662, 18, 104882, {1, 3, 3, 7, 9, 47, 51, 31, 261, 237, 1695, 1065, 4503, 7167, 25791, 39659, 90145, 130481}},
{19663, 18, 104920, {1, 1, 3, 3, 21, 27, 53, 249, 407, 779, 1315, 1005, 6953, 14959, 2265, 61645, 118623, 254067}},
{19664, 18, 104941, {1, 3, 1, 9, 13, 25, 33, 225, 467, 325, 1513, 1237, 1569, 8749, 1587, 4699, 19893, 163597}},
{19665, 18, 104963, {1, 3, 5, 5, 29, 29, 1, 55, 437, 575, 149, 791, 4243, 4405, 22963, 64125, 21631, 25819}},
{19666, 18, 104989, {1, 3, 5, 3, 25, 9, 19, 27, 419, 139, 2035, 2065, 1925, 11499, 20053, 13161, 15115, 120891}},
{19667, 18, 104999, {1, 1, 5, 9, 7, 9, 113, 3, 195, 555, 863, 595, 6569, 9819, 14727, 38285, 13737, 130903}},
{19668, 18, 105006, {1, 1, 3, 7, 19, 17, 35, 107, 489, 285, 247, 3103, 2919, 11163, 2811, 62081, 42989, 24495}},
{19669, 18, 105040, {1, 3, 1, 15, 17, 5, 123, 221, 117, 689, 1567, 3803, 5801, 14121, 23263, 8851, 41559, 226271}},
{19670, 18, 105066, {1, 1, 1, 15, 21, 39, 87, 135, 485, 59, 1899, 2483, 2599, 8783, 6129, 55407, 7291, 217117}},
{19671, 18, 105089, {1, 1, 3, 11, 27, 53, 45, 241, 51, 829, 121, 3047, 6785, 15127, 13923, 47913, 9087, 112005}},
{19672, 18, 105120, {1, 1, 1, 13, 5, 9, 45, 37, 235, 497, 871, 1471, 2895, 247, 9085, 39611, 63445, 218391}},
{19673, 18, 105125, {1, 1, 5, 3, 5, 29, 23, 155, 339, 293, 535, 1569, 2625, 2867, 4639, 53049, 88721, 96903}},
{19674, 18, 105137, {1, 1, 3, 15, 5, 25, 17, 45, 47, 683, 949, 1381, 5929, 9539, 3345, 59883, 19071, 200411}},
{19675, 18, 105179, {1, 1, 1, 11, 11, 5, 71, 15, 469, 749, 1763, 541, 7109, 11731, 8463, 35145, 121795, 219441}},
{19676, 18, 105215, {1, 3, 7, 11, 5, 17, 63, 159, 69, 993, 1519, 1531, 6913, 3901, 22131, 42909, 41299, 261813}},
{19677, 18, 105244, {1, 1, 3, 5, 21, 27, 27, 197, 339, 275, 2011, 2263, 855, 1939, 21561, 30577, 6515, 124417}},
{19678, 18, 105258, {1, 3, 5, 15, 25, 35, 91, 31, 269, 857, 327, 3643, 3211, 14401, 18399, 9007, 12897, 25555}},
{19679, 18, 105263, {1, 1, 7, 15, 19, 47, 127, 157, 407, 867, 943, 1509, 3113, 49, 32131, 46975, 130013, 66457}},
{19680, 18, 105280, {1, 3, 3, 13, 31, 45, 59, 135, 67, 825, 157, 2441, 2851, 2355, 28115, 14075, 106317, 145945}},
{19681, 18, 105286, {1, 1, 1, 15, 27, 27, 5, 211, 85, 749, 671, 1341, 6865, 10027, 14419, 20159, 126647, 147893}},
{19682, 18, 105380, {1, 1, 1, 7, 25, 49, 115, 231, 65, 161, 1409, 573, 2859, 639, 12567, 58459, 73781, 136893}},
{19683, 18, 105397, {1, 1, 1, 7, 11, 57, 97, 141, 327, 975, 1799, 3051, 365, 9331, 14583, 16723, 113153, 224127}},
{19684, 18, 105409, {1, 3, 1, 13, 13, 17, 105, 109, 151, 41, 1903, 1685, 2285, 5697, 16559, 34133, 106045, 203217}},
{19685, 18, 105427, {1, 1, 1, 3, 29, 61, 43, 255, 269, 277, 1847, 3781, 7991, 131, 9833, 34305, 10763, 41869}},
{19686, 18, 105452, {1, 1, 7, 3, 11, 1, 85, 89, 247, 99, 419, 2041, 3729, 10301, 5291, 36033, 31749, 261871}},
{19687, 18, 105469, {1, 3, 7, 9, 27, 27, 41, 3, 303, 893, 697, 1631, 5015, 4233, 22827, 3913, 22245, 121193}},
{19688, 18, 105472, {1, 3, 3, 13, 19, 11, 15, 239, 419, 123, 1213, 185, 4465, 4909, 25421, 18363, 72537, 167939}},
{19689, 18, 105477, {1, 1, 3, 5, 13, 49, 57, 197, 19, 877, 1465, 2933, 5909, 7147, 1039, 37035, 91209, 126013}},
{19690, 18, 105490, {1, 1, 3, 5, 23, 7, 63, 179, 59, 47, 1501, 1863, 2949, 13959, 28131, 29705, 107975, 155251}},
{19691, 18, 105505, {1, 1, 1, 5, 25, 51, 77, 169, 327, 585, 1531, 3367, 3075, 6313, 26725, 453, 68635, 173787}},
{19692, 18, 105529, {1, 3, 7, 9, 5, 15, 43, 45, 311, 367, 297, 2249, 7507, 4785, 22685, 37279, 121683, 141453}},
{19693, 18, 105530, {1, 3, 7, 15, 17, 33, 43, 251, 281, 345, 1659, 3729, 7629, 6179, 26107, 64255, 88003, 2545}},
{19694, 18, 105604, {1, 3, 7, 9, 17, 13, 71, 49, 341, 495, 1975, 173, 5773, 3821, 6615, 50917, 53781, 75557}},
{19695, 18, 105614, {1, 1, 5, 13, 17, 21, 121, 35, 195, 367, 1191, 1331, 6423, 8425, 7705, 59117, 44575, 225431}},
{19696, 18, 105622, {1, 1, 1, 5, 25, 39, 89, 65, 449, 491, 211, 2949, 4493, 23, 22571, 4801, 50525, 222563}},
{19697, 18, 105625, {1, 1, 7, 5, 7, 21, 15, 171, 443, 225, 577, 1841, 8139, 15071, 6095, 60185, 71957, 244753}},
{19698, 18, 105652, {1, 1, 5, 9, 31, 33, 21, 195, 415, 1003, 441, 627, 2339, 8245, 11187, 55933, 59045, 177455}},
{19699, 18, 105687, {1, 1, 3, 9, 31, 29, 7, 15, 31, 577, 1435, 1317, 2923, 3807, 29693, 45857, 61787, 213565}},
{19700, 18, 105693, {1, 3, 7, 15, 17, 51, 65, 87, 295, 811, 753, 1113, 7695, 275, 28331, 46363, 53247, 166993}},
{19701, 18, 105707, {1, 1, 5, 11, 15, 31, 31, 47, 273, 383, 1831, 3821, 1337, 13257, 415, 35453, 15293, 173095}},
{19702, 18, 105721, {1, 3, 1, 13, 19, 21, 63, 199, 159, 475, 1257, 3119, 7083, 2861, 21099, 16873, 83583, 186289}},
{19703, 18, 105730, {1, 1, 7, 13, 15, 23, 11, 103, 387, 899, 261, 2863, 3681, 5683, 5587, 64655, 7411, 148633}},
{19704, 18, 105736, {1, 3, 1, 13, 1, 45, 5, 173, 379, 287, 1451, 2253, 3811, 10963, 20285, 59681, 81285, 48523}},
{19705, 18, 105753, {1, 1, 5, 9, 27, 17, 57, 25, 499, 289, 1083, 3057, 793, 5251, 10519, 36647, 67751, 237487}},
{19706, 18, 105759, {1, 1, 3, 1, 17, 13, 23, 73, 1, 951, 111, 3769, 3611, 4827, 10081, 55919, 21411, 127303}},
{19707, 18, 105760, {1, 3, 1, 1, 29, 35, 93, 139, 179, 217, 1839, 1907, 4365, 1813, 31985, 28927, 39319, 233413}},
{19708, 18, 105802, {1, 1, 1, 7, 7, 47, 37, 127, 449, 473, 311, 3833, 3263, 4163, 15985, 50159, 82685, 73273}},
{19709, 18, 105822, {1, 1, 1, 3, 3, 5, 69, 95, 101, 115, 1575, 63, 1897, 13733, 22149, 8793, 82983, 192553}},
{19710, 18, 105832, {1, 3, 1, 5, 3, 57, 121, 13, 291, 975, 505, 3105, 6929, 12737, 25869, 29173, 16757, 17733}},
{19711, 18, 105865, {1, 1, 3, 13, 13, 23, 51, 51, 239, 795, 877, 1547, 6533, 11497, 14309, 32941, 128109, 187313}},
{19712, 18, 105873, {1, 1, 3, 5, 19, 37, 57, 223, 509, 379, 1235, 1881, 4133, 13219, 5479, 36781, 56155, 231001}},
{19713, 18, 105874, {1, 1, 1, 5, 25, 45, 111, 183, 37, 875, 1487, 3771, 5593, 6835, 10921, 40697, 114455, 259491}},
{19714, 18, 105880, {1, 1, 3, 11, 13, 5, 43, 47, 7, 435, 1543, 3835, 1631, 8889, 23567, 24705, 26687, 14261}},
{19715, 18, 105899, {1, 3, 3, 11, 1, 13, 51, 171, 433, 1011, 679, 1307, 1683, 7379, 7163, 29727, 40209, 259973}},
{19716, 18, 105902, {1, 3, 1, 5, 25, 33, 111, 11, 303, 815, 1883, 263, 7907, 12637, 19203, 64151, 55739, 240509}},
{19717, 18, 105909, {1, 3, 5, 7, 23, 51, 3, 183, 425, 47, 231, 807, 1891, 10943, 17873, 20209, 60871, 30269}},
{19718, 18, 105919, {1, 1, 1, 1, 1, 23, 11, 183, 351, 5, 37, 3883, 1291, 15933, 11379, 53057, 61389, 240547}},
{19719, 18, 105922, {1, 3, 1, 5, 7, 53, 97, 29, 239, 805, 1929, 1001, 5103, 11, 24695, 7825, 109755, 254717}},
{19720, 18, 105946, {1, 3, 3, 11, 15, 37, 115, 117, 391, 313, 1761, 3627, 3931, 10277, 1767, 25401, 123827, 60463}},
{19721, 18, 105975, {1, 1, 7, 9, 9, 61, 23, 65, 473, 579, 1979, 415, 629, 3613, 27409, 46909, 3281, 3883}},
{19722, 18, 105992, {1, 3, 3, 13, 25, 17, 71, 247, 297, 451, 153, 1949, 2727, 6427, 19815, 54013, 129363, 248237}},
{19723, 18, 106005, {1, 1, 7, 7, 29, 9, 57, 171, 159, 287, 693, 1365, 4665, 5255, 15013, 21225, 125409, 5893}},
{19724, 18, 106057, {1, 3, 3, 1, 9, 43, 13, 139, 359, 267, 115, 2025, 693, 4789, 10353, 60459, 30835, 56575}},
{19725, 18, 106081, {1, 1, 1, 7, 23, 35, 35, 77, 245, 705, 75, 2841, 1683, 6109, 19661, 49021, 25019, 7297}},
{19726, 18, 106093, {1, 3, 1, 5, 1, 19, 49, 53, 19, 435, 1471, 409, 7051, 7057, 3621, 42925, 59551, 70941}},
{19727, 18, 106117, {1, 3, 7, 5, 21, 27, 39, 221, 389, 255, 537, 597, 7729, 10473, 6657, 13261, 11303, 112409}},
{19728, 18, 106127, {1, 3, 7, 13, 29, 29, 81, 107, 329, 25, 537, 561, 2247, 10371, 30031, 20537, 28437, 113319}},
{19729, 18, 106135, {1, 1, 5, 9, 9, 7, 89, 155, 337, 829, 755, 3259, 3563, 11849, 31179, 43297, 79601, 187545}},
{19730, 18, 106141, {1, 3, 3, 5, 11, 63, 101, 159, 357, 627, 587, 3233, 405, 4083, 5953, 44541, 110723, 240573}},
{19731, 18, 106189, {1, 1, 3, 15, 5, 39, 87, 231, 455, 195, 1603, 315, 3869, 6375, 745, 28349, 56469, 119033}},
{19732, 18, 106190, {1, 1, 7, 1, 11, 7, 79, 47, 391, 585, 1299, 3237, 7345, 15959, 4293, 43285, 111737, 215923}},
{19733, 18, 106197, {1, 1, 3, 15, 21, 53, 113, 73, 265, 589, 299, 289, 3983, 1653, 17407, 15287, 53199, 44221}},
{19734, 18, 106214, {1, 3, 1, 3, 1, 13, 31, 41, 509, 523, 401, 2647, 2731, 5699, 15649, 51737, 81249, 230865}},
{19735, 18, 106237, {1, 3, 5, 3, 15, 53, 91, 209, 249, 243, 1119, 2531, 319, 9259, 26555, 59579, 28767, 235073}},
{19736, 18, 106245, {1, 1, 1, 13, 29, 25, 57, 3, 413, 945, 841, 1151, 7167, 2545, 7283, 3947, 109375, 148677}},
{19737, 18, 106257, {1, 3, 3, 7, 29, 27, 81, 141, 21, 771, 577, 897, 73, 13081, 30035, 49213, 90627, 7483}},
{19738, 18, 106300, {1, 3, 1, 13, 23, 11, 19, 159, 183, 789, 683, 2071, 7107, 3025, 27333, 9571, 69621, 48529}},
{19739, 18, 106335, {1, 3, 1, 9, 5, 43, 7, 123, 341, 75, 1709, 135, 7929, 14563, 6849, 32783, 91971, 223789}},
{19740, 18, 106351, {1, 1, 7, 3, 19, 13, 45, 229, 7, 559, 1895, 2649, 7593, 1063, 17715, 45019, 29743, 37819}},
{19741, 18, 106370, {1, 1, 5, 3, 11, 25, 11, 169, 249, 415, 249, 209, 2223, 5947, 23381, 12109, 37697, 131729}},
{19742, 18, 106375, {1, 1, 1, 7, 19, 47, 125, 117, 235, 825, 801, 921, 2363, 1261, 20529, 65445, 55315, 173561}},
{19743, 18, 106376, {1, 1, 1, 1, 5, 39, 31, 11, 239, 333, 727, 3991, 1453, 2201, 18129, 3513, 112057, 109673}},
{19744, 18, 106384, {1, 1, 7, 5, 21, 59, 37, 255, 261, 1, 1401, 1101, 1233, 3813, 22809, 39389, 66263, 191623}},
{19745, 18, 106403, {1, 3, 1, 7, 5, 51, 73, 85, 319, 671, 1149, 1631, 6021, 10711, 3813, 36485, 106147, 202021}},
{19746, 18, 106405, {1, 3, 3, 13, 7, 63, 59, 253, 337, 453, 61, 209, 2809, 10429, 28069, 55971, 57985, 244779}},
{19747, 18, 106406, {1, 1, 1, 9, 27, 59, 45, 101, 427, 713, 1667, 2965, 6161, 1235, 8793, 2387, 66031, 85151}},
{19748, 18, 106429, {1, 1, 3, 1, 5, 25, 101, 7, 449, 149, 823, 725, 6803, 11949, 13009, 14785, 45633, 241957}},
{19749, 18, 106447, {1, 3, 7, 15, 29, 45, 103, 151, 159, 23, 1353, 3541, 5909, 4173, 31391, 16179, 38289, 206603}},
{19750, 18, 106466, {1, 1, 7, 7, 23, 3, 97, 29, 141, 383, 379, 3189, 4399, 4545, 30797, 55827, 126223, 97049}},
{19751, 18, 106495, {1, 3, 3, 7, 25, 35, 61, 15, 349, 929, 65, 3697, 7637, 12239, 29051, 36001, 114513, 151069}},
{19752, 18, 106532, {1, 3, 3, 11, 19, 1, 23, 245, 9, 689, 1251, 1043, 2393, 15817, 31561, 21059, 3435, 228091}},
{19753, 18, 106542, {1, 3, 7, 3, 23, 17, 121, 147, 427, 47, 905, 3877, 2301, 15709, 13599, 48895, 108955, 53219}},
{19754, 18, 106547, {1, 3, 7, 3, 25, 31, 53, 143, 1, 841, 1691, 749, 6713, 5373, 23487, 25749, 13911, 240923}},
{19755, 18, 106564, {1, 3, 5, 3, 7, 39, 101, 83, 159, 187, 583, 721, 7745, 1119, 61, 27319, 35157, 241729}},
{19756, 18, 106576, {1, 1, 5, 11, 27, 21, 79, 199, 179, 463, 987, 3909, 1741, 503, 12339, 15323, 4063, 180337}},
{19757, 18, 106586, {1, 3, 7, 11, 23, 43, 7, 115, 489, 215, 209, 3213, 4057, 13221, 27061, 52037, 34921, 36385}},
{19758, 18, 106592, {1, 1, 7, 1, 15, 13, 113, 55, 207, 839, 1939, 4095, 5629, 7647, 12753, 59739, 60779, 196589}},
{19759, 18, 106597, {1, 1, 1, 5, 5, 13, 113, 243, 297, 513, 1615, 1513, 1247, 4025, 20901, 44775, 86987, 75437}},
{19760, 18, 106610, {1, 1, 3, 7, 7, 35, 77, 115, 223, 929, 1683, 949, 2191, 15533, 29471, 24103, 102475, 173027}},
{19761, 18, 106612, {1, 3, 1, 11, 23, 37, 7, 179, 287, 267, 319, 3147, 1481, 12297, 28185, 51423, 7505, 236225}},
{19762, 18, 106635, {1, 1, 3, 5, 27, 5, 71, 95, 289, 121, 939, 3543, 365, 4903, 10091, 3903, 111155, 83517}},
{19763, 18, 106640, {1, 1, 7, 9, 29, 3, 87, 245, 313, 973, 1181, 3389, 3697, 13237, 13703, 31557, 17269, 17329}},
{19764, 18, 106673, {1, 1, 5, 11, 5, 41, 117, 51, 239, 907, 809, 741, 5327, 3403, 11825, 46981, 93485, 38053}},
{19765, 18, 106691, {1, 1, 7, 1, 25, 41, 5, 169, 11, 599, 1451, 2189, 7255, 8441, 11169, 58313, 4387, 69}},
{19766, 18, 106724, {1, 3, 1, 13, 5, 21, 75, 229, 153, 355, 1511, 175, 4793, 12111, 25321, 39983, 84205, 195003}},
{19767, 18, 106731, {1, 1, 7, 1, 17, 61, 67, 181, 69, 149, 921, 1107, 6319, 431, 29481, 12507, 13109, 29527}},
{19768, 18, 106741, {1, 1, 5, 5, 27, 47, 69, 119, 469, 193, 513, 1573, 7421, 2723, 20997, 59585, 49645, 261259}},
{19769, 18, 106748, {1, 1, 3, 9, 27, 41, 41, 3, 181, 803, 1281, 2937, 6745, 5629, 8403, 18987, 98411, 128321}},
{19770, 18, 106765, {1, 3, 3, 9, 5, 29, 55, 223, 309, 841, 1049, 1163, 3497, 8935, 8529, 51367, 90693, 77463}},
{19771, 18, 106789, {1, 3, 5, 3, 3, 59, 23, 31, 309, 907, 107, 3471, 4365, 14463, 24093, 35435, 24587, 151163}},
{19772, 18, 106822, {1, 3, 3, 1, 11, 37, 99, 95, 485, 601, 1797, 891, 5645, 8927, 22085, 5185, 18495, 260455}},
{19773, 18, 106856, {1, 3, 7, 15, 31, 61, 5, 177, 159, 287, 311, 1377, 1419, 4387, 25297, 22505, 100937, 223785}},
{19774, 18, 106861, {1, 3, 3, 3, 27, 31, 45, 171, 95, 507, 1475, 4013, 2781, 133, 6857, 3367, 103455, 69559}},
{19775, 18, 106870, {1, 3, 3, 7, 9, 51, 47, 247, 213, 665, 1929, 2799, 5513, 9183, 20197, 14831, 75277, 187565}},
{19776, 18, 106883, {1, 3, 1, 9, 13, 11, 15, 253, 145, 31, 847, 1579, 5513, 9, 3327, 46049, 16709, 56353}},
{19777, 18, 106895, {1, 3, 3, 3, 9, 17, 59, 131, 3, 621, 1209, 3415, 2999, 127, 629, 7925, 6109, 59743}},
{19778, 18, 106928, {1, 1, 5, 15, 29, 35, 87, 197, 495, 671, 51, 293, 3943, 7969, 4739, 10161, 119943, 97217}},
{19779, 18, 106938, {1, 1, 1, 9, 25, 57, 61, 197, 139, 899, 783, 3835, 3407, 16301, 19033, 33359, 56309, 16237}},
{19780, 18, 106979, {1, 1, 5, 11, 25, 47, 95, 121, 197, 511, 227, 2281, 5805, 10581, 14885, 19685, 28075, 25431}},
{19781, 18, 106985, {1, 1, 3, 9, 1, 43, 59, 105, 319, 45, 1567, 905, 7641, 2199, 3979, 13717, 22829, 44777}},
{19782, 18, 107005, {1, 3, 7, 1, 19, 49, 105, 53, 227, 293, 989, 697, 2553, 4561, 14851, 8999, 74815, 207475}},
{19783, 18, 107012, {1, 1, 5, 11, 23, 3, 85, 29, 419, 847, 1385, 3857, 641, 14951, 25629, 18019, 2497, 24723}},
{19784, 18, 107019, {1, 3, 5, 15, 5, 11, 51, 225, 179, 695, 787, 663, 7051, 3595, 4987, 53315, 88693, 7915}},
{19785, 18, 107045, {1, 3, 1, 13, 17, 51, 51, 247, 431, 555, 603, 3301, 443, 629, 26509, 32047, 54433, 208297}},
{19786, 18, 107052, {1, 3, 7, 7, 13, 41, 95, 105, 135, 443, 377, 1259, 3301, 6945, 11677, 33869, 107799, 186567}},
{19787, 18, 107082, {1, 1, 5, 7, 31, 17, 85, 129, 409, 781, 983, 25, 6877, 83, 12625, 31919, 41989, 55195}},
{19788, 18, 107089, {1, 1, 3, 3, 7, 45, 37, 45, 237, 967, 1371, 657, 7983, 3121, 32707, 25757, 49987, 92683}},
{19789, 18, 107118, {1, 3, 1, 1, 19, 57, 63, 25, 355, 893, 2017, 1671, 7343, 4451, 28243, 22157, 103901, 178017}},
{19790, 18, 107163, {1, 3, 7, 13, 17, 59, 81, 99, 329, 117, 1395, 2565, 5725, 2371, 343, 4713, 35077, 49793}},
{19791, 18, 107202, {1, 3, 7, 15, 31, 19, 87, 243, 411, 339, 1063, 117, 1827, 1583, 12571, 23153, 3363, 81695}},
{19792, 18, 107238, {1, 3, 7, 1, 3, 49, 95, 133, 295, 433, 1885, 843, 6679, 13673, 32277, 59085, 46957, 217037}},
{19793, 18, 107242, {1, 1, 3, 9, 23, 53, 45, 183, 79, 55, 1267, 283, 3249, 4101, 8107, 54473, 126141, 127235}},
{19794, 18, 107244, {1, 3, 5, 7, 19, 57, 113, 205, 37, 817, 929, 3643, 2231, 15725, 1733, 7877, 116741, 254529}},
{19795, 18, 107264, {1, 3, 1, 9, 9, 7, 75, 45, 83, 203, 1401, 445, 1043, 239, 30865, 32189, 91081, 180681}},
{19796, 18, 107273, {1, 1, 7, 7, 1, 3, 61, 255, 483, 599, 897, 1601, 5189, 13279, 4981, 37235, 117505, 66625}},
{19797, 18, 107291, {1, 1, 3, 13, 29, 43, 65, 73, 213, 307, 959, 2735, 5155, 16063, 15745, 6225, 50159, 182445}},
{19798, 18, 107293, {1, 1, 3, 9, 31, 61, 73, 185, 457, 687, 1887, 4041, 3455, 4739, 16399, 40929, 32631, 179031}},
{19799, 18, 107312, {1, 3, 3, 15, 5, 45, 1, 241, 187, 23, 63, 2497, 7759, 9175, 11003, 40579, 45769, 107133}},
{19800, 18, 107318, {1, 3, 3, 7, 5, 63, 7, 67, 31, 917, 1825, 2037, 2527, 9767, 2665, 18573, 14289, 21583}},
{19801, 18, 107335, {1, 1, 5, 15, 15, 25, 51, 127, 261, 925, 1651, 769, 7779, 7327, 7239, 20437, 9947, 144697}},
{19802, 18, 107349, {1, 1, 5, 1, 5, 13, 99, 7, 269, 135, 345, 1851, 7963, 457, 24573, 32529, 127359, 157755}},
{19803, 18, 107350, {1, 3, 5, 15, 21, 17, 31, 115, 321, 351, 117, 1301, 2455, 3363, 14213, 62903, 75273, 261119}},
{19804, 18, 107363, {1, 3, 7, 1, 1, 9, 53, 209, 319, 489, 827, 1365, 4709, 7419, 28213, 56095, 9611, 234877}},
{19805, 18, 107390, {1, 1, 5, 5, 1, 7, 49, 15, 377, 309, 1701, 1775, 5571, 12437, 27521, 54753, 68977, 138549}},
{19806, 18, 107405, {1, 1, 3, 11, 9, 29, 67, 21, 411, 647, 983, 1075, 2387, 13355, 1781, 56129, 87235, 260133}},
{19807, 18, 107408, {1, 3, 1, 11, 5, 57, 71, 159, 345, 853, 745, 3733, 1607, 7265, 20097, 18911, 101141, 70495}},
{19808, 18, 107427, {1, 1, 3, 9, 1, 43, 127, 127, 471, 465, 1777, 1879, 4655, 12925, 24935, 58445, 78303, 200463}},
{19809, 18, 107433, {1, 1, 1, 15, 5, 33, 63, 17, 401, 831, 1559, 3547, 7869, 13901, 18185, 9399, 65859, 185315}},
{19810, 18, 107444, {1, 3, 7, 1, 25, 21, 17, 175, 401, 833, 847, 3593, 1283, 14745, 11827, 1987, 89299, 187369}},
{19811, 18, 107514, {1, 1, 7, 13, 29, 31, 45, 219, 177, 369, 1313, 3015, 5859, 1829, 8793, 49109, 97581, 233179}},
{19812, 18, 107522, {1, 3, 3, 15, 17, 31, 61, 215, 231, 495, 1307, 3067, 3187, 8813, 22505, 14055, 30773, 177955}},
{19813, 18, 107545, {1, 3, 7, 15, 9, 61, 57, 105, 89, 267, 233, 905, 3727, 1841, 31875, 32499, 27003, 208491}},
{19814, 18, 107582, {1, 3, 1, 11, 31, 9, 63, 55, 213, 209, 1625, 2635, 4335, 15201, 6127, 11097, 37991, 62813}},
{19815, 18, 107590, {1, 1, 1, 5, 13, 49, 127, 249, 339, 525, 1943, 2935, 3255, 5199, 6869, 6325, 731, 51085}},
{19816, 18, 107593, {1, 1, 5, 7, 7, 29, 59, 187, 463, 409, 1321, 377, 7361, 8303, 20385, 39649, 81379, 235555}},
{19817, 18, 107599, {1, 1, 5, 13, 15, 45, 99, 57, 217, 535, 1747, 4081, 4781, 1005, 25197, 23853, 90587, 189579}},
{19818, 18, 107604, {1, 1, 7, 7, 23, 31, 1, 151, 339, 447, 523, 2609, 5917, 6965, 25815, 62797, 104083, 245917}},
{19819, 18, 107608, {1, 3, 5, 3, 7, 37, 79, 253, 423, 511, 1477, 3121, 5557, 1413, 31075, 22249, 117639, 243543}},
{19820, 18, 107627, {1, 1, 3, 7, 5, 31, 93, 117, 135, 235, 745, 3287, 4451, 2487, 15179, 62229, 18247, 150277}},
{19821, 18, 107638, {1, 1, 7, 15, 31, 57, 125, 219, 433, 629, 1809, 2499, 6083, 7631, 31495, 63183, 28533, 120579}},
{19822, 18, 107666, {1, 1, 1, 13, 31, 47, 77, 73, 343, 867, 1055, 1121, 3035, 15693, 6971, 50231, 16527, 190795}},
{19823, 18, 107678, {1, 3, 7, 7, 11, 1, 5, 215, 87, 885, 1429, 1277, 3831, 9341, 22011, 34585, 56167, 65301}},
{19824, 18, 107701, {1, 3, 1, 15, 13, 53, 91, 59, 277, 819, 453, 3191, 757, 4729, 20605, 4283, 110745, 233655}},
{19825, 18, 107720, {1, 3, 3, 5, 17, 47, 69, 117, 113, 775, 935, 1879, 2239, 5877, 18337, 50895, 44891, 2759}},
{19826, 18, 107723, {1, 3, 5, 1, 27, 31, 77, 65, 355, 405, 825, 2419, 3337, 10179, 27665, 35459, 13721, 154227}},
{19827, 18, 107725, {1, 3, 3, 7, 23, 61, 9, 241, 239, 85, 485, 2659, 5371, 16175, 28691, 49109, 124433, 167033}},
{19828, 18, 107731, {1, 3, 3, 3, 11, 57, 37, 155, 443, 249, 1913, 1347, 6569, 5357, 4231, 58273, 50707, 57097}},
{19829, 18, 107737, {1, 1, 3, 3, 1, 7, 87, 115, 259, 807, 45, 2997, 63, 16313, 12507, 39925, 17699, 24411}},
{19830, 18, 107767, {1, 3, 3, 1, 19, 59, 97, 209, 247, 395, 21, 1803, 2547, 11607, 15703, 58099, 111907, 196101}},
{19831, 18, 107779, {1, 1, 7, 13, 27, 61, 73, 183, 493, 953, 445, 567, 7373, 15275, 30081, 539, 89365, 3455}},
{19832, 18, 107788, {1, 3, 1, 3, 25, 35, 3, 105, 243, 781, 1937, 2781, 7849, 2159, 2221, 58005, 89313, 182183}},
{19833, 18, 107799, {1, 1, 7, 15, 21, 7, 67, 163, 179, 453, 581, 2245, 3915, 8985, 16809, 35113, 93605, 79009}},
{19834, 18, 107819, {1, 1, 7, 5, 29, 57, 13, 75, 387, 511, 331, 1119, 307, 6145, 3841, 49987, 67335, 120419}},
{19835, 18, 107833, {1, 3, 1, 5, 13, 21, 119, 207, 453, 943, 137, 2245, 7771, 5737, 9541, 29209, 106867, 110513}},
{19836, 18, 107881, {1, 3, 7, 13, 7, 3, 99, 129, 245, 687, 883, 1321, 1131, 6661, 7437, 1345, 128247, 167877}},
{19837, 18, 107901, {1, 1, 3, 11, 7, 57, 59, 3, 217, 549, 85, 2607, 215, 2249, 3963, 42931, 33747, 226265}},
{19838, 18, 107911, {1, 1, 5, 5, 29, 23, 115, 215, 103, 427, 1689, 831, 3293, 14055, 3735, 49521, 17703, 182887}},
{19839, 18, 107930, {1, 1, 1, 15, 5, 43, 27, 181, 217, 955, 225, 2731, 7347, 14123, 26169, 4371, 26907, 15017}},
{19840, 18, 107936, {1, 1, 7, 7, 31, 55, 63, 223, 61, 63, 431, 2779, 3169, 14323, 2945, 63913, 85407, 76511}},
{19841, 18, 107980, {1, 1, 3, 11, 5, 27, 113, 75, 313, 697, 13, 1853, 7467, 5701, 16749, 17939, 13475, 39807}},
{19842, 18, 108004, {1, 1, 7, 5, 13, 53, 55, 115, 125, 341, 321, 3291, 2675, 13659, 16819, 45397, 42917, 104361}},
{19843, 18, 108008, {1, 3, 3, 15, 27, 47, 19, 213, 441, 605, 593, 2287, 4847, 10505, 22185, 36157, 10881, 87799}},
{19844, 18, 108016, {1, 1, 1, 11, 15, 39, 109, 3, 469, 371, 1743, 2789, 199, 8703, 7407, 3353, 103417, 73319}},
{19845, 18, 108066, {1, 3, 7, 5, 25, 61, 77, 111, 263, 399, 1579, 3447, 6205, 5945, 28099, 39183, 77003, 115001}},
{19846, 18, 108071, {1, 1, 1, 3, 1, 7, 57, 193, 379, 923, 151, 2227, 7285, 2371, 24567, 34037, 80655, 125499}},
{19847, 18, 108107, {1, 3, 5, 7, 13, 15, 5, 193, 55, 319, 1851, 2439, 8071, 5329, 3155, 64669, 18547, 238997}},
{19848, 18, 108110, {1, 3, 3, 11, 7, 23, 1, 203, 333, 951, 153, 1249, 5093, 407, 361, 14175, 45149, 186291}},
{19849, 18, 108124, {1, 3, 1, 11, 13, 19, 89, 229, 139, 981, 455, 907, 5109, 8513, 23823, 54933, 69985, 227679}},
{19850, 18, 108145, {1, 3, 5, 13, 23, 47, 65, 123, 115, 759, 375, 1283, 729, 11045, 22015, 18287, 112603, 75911}},
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{20563, 18, 120255, {1, 1, 3, 13, 5, 41, 55, 15, 409, 355, 1255, 3043, 7503, 3523, 4261, 48927, 119901, 149411}},
{20564, 18, 120317, {1, 1, 5, 1, 11, 57, 3, 149, 409, 287, 909, 3541, 4243, 4485, 3611, 63213, 102575, 49863}},
{20565, 18, 120327, {1, 1, 3, 7, 15, 55, 119, 185, 511, 301, 237, 3701, 3195, 1323, 27511, 44635, 45363, 117683}},
{20566, 18, 120369, {1, 3, 3, 11, 3, 61, 125, 15, 235, 819, 467, 1097, 1055, 16343, 8329, 37807, 38663, 145625}},
{20567, 18, 120382, {1, 1, 7, 1, 25, 49, 117, 163, 413, 509, 63, 1313, 5113, 6505, 25475, 12059, 88021, 168037}},
{20568, 18, 120404, {1, 3, 3, 9, 9, 37, 15, 185, 359, 231, 1483, 2999, 773, 10375, 27103, 39899, 100187, 54485}},
{20569, 18, 120414, {1, 3, 3, 1, 13, 63, 111, 79, 133, 425, 1491, 3735, 533, 13417, 5161, 11455, 16907, 132267}},
{20570, 18, 120432, {1, 3, 1, 15, 15, 47, 57, 157, 453, 681, 1811, 1685, 4329, 131, 22763, 1017, 66637, 1673}},
{20571, 18, 120435, {1, 3, 7, 3, 31, 5, 105, 101, 431, 983, 1333, 845, 7369, 15041, 6527, 8617, 61911, 137513}},
{20572, 18, 120454, {1, 3, 7, 15, 3, 45, 57, 23, 393, 495, 769, 215, 3611, 12907, 20637, 52997, 88345, 37961}},
{20573, 18, 120463, {1, 3, 5, 7, 31, 3, 85, 249, 353, 559, 1803, 959, 4625, 9413, 22339, 6071, 124765, 43973}},
{20574, 18, 120471, {1, 3, 1, 9, 31, 15, 109, 197, 179, 293, 457, 709, 627, 7743, 1997, 59625, 36919, 252849}},
{20575, 18, 120505, {1, 1, 7, 11, 17, 21, 89, 11, 431, 617, 1029, 2649, 1725, 2723, 18367, 46103, 108063, 221855}},
{20576, 18, 120528, {1, 3, 7, 1, 29, 7, 81, 187, 353, 807, 965, 3655, 3255, 9139, 28619, 32127, 107901, 139099}},
{20577, 18, 120588, {1, 1, 5, 3, 17, 9, 39, 59, 431, 829, 525, 1885, 2387, 13381, 5271, 29739, 80413, 240595}},
{20578, 18, 120616, {1, 3, 1, 5, 1, 5, 25, 9, 193, 971, 681, 2921, 3271, 3891, 20123, 37477, 33141, 82481}},
{20579, 18, 120630, {1, 1, 3, 5, 1, 63, 77, 93, 63, 399, 1945, 387, 5457, 7339, 13279, 34119, 129903, 12621}},
{20580, 18, 120644, {1, 3, 3, 11, 17, 11, 117, 189, 473, 23, 13, 1261, 2153, 12181, 21075, 33179, 43355, 168293}},
{20581, 18, 120672, {1, 3, 5, 11, 21, 13, 73, 227, 211, 939, 885, 2091, 1123, 14809, 15705, 56675, 58087, 1451}},
{20582, 18, 120677, {1, 3, 7, 1, 15, 15, 101, 235, 287, 675, 1741, 3885, 6211, 14817, 10235, 29289, 60401, 27639}},
{20583, 18, 120718, {1, 3, 5, 13, 13, 7, 117, 31, 143, 505, 1823, 2841, 2133, 7305, 14093, 14229, 85179, 136793}},
{20584, 18, 120725, {1, 1, 3, 15, 27, 15, 67, 237, 315, 793, 207, 3781, 5201, 13191, 9601, 44041, 116097, 178543}},
{20585, 18, 120730, {1, 3, 1, 9, 9, 47, 53, 225, 109, 831, 1757, 349, 6353, 15417, 16395, 36295, 10901, 122349}},
{20586, 18, 120756, {1, 1, 1, 1, 1, 17, 109, 13, 123, 537, 1859, 3717, 4441, 4271, 29017, 13601, 18533, 216695}},
{20587, 18, 120759, {1, 3, 3, 13, 31, 23, 45, 233, 29, 295, 761, 757, 777, 3499, 26715, 24153, 113777, 256337}},
{20588, 18, 120765, {1, 3, 5, 7, 23, 57, 37, 179, 511, 897, 2031, 1285, 3957, 15085, 19993, 28819, 39959, 187445}},
{20589, 18, 120795, {1, 3, 1, 15, 25, 41, 121, 227, 433, 859, 357, 3107, 3241, 879, 10763, 59473, 73145, 258493}},
{20590, 18, 120821, {1, 3, 3, 5, 13, 9, 85, 117, 347, 161, 995, 549, 5443, 9057, 28931, 57549, 27523, 54717}},
{20591, 18, 120850, {1, 1, 5, 13, 13, 33, 97, 37, 55, 367, 403, 2361, 5717, 4433, 26921, 14227, 69445, 100337}},
{20592, 18, 120868, {1, 3, 5, 7, 1, 41, 89, 165, 163, 1, 685, 3577, 1079, 1057, 125, 35853, 8387, 113035}},
{20593, 18, 120880, {1, 3, 3, 13, 3, 59, 119, 51, 325, 205, 821, 1417, 2097, 13725, 31785, 53803, 15737, 2013}},
{20594, 18, 120885, {1, 3, 7, 7, 1, 45, 95, 221, 249, 65, 1479, 2163, 5761, 15321, 8013, 25771, 110897, 214127}},
{20595, 18, 120892, {1, 3, 3, 5, 25, 11, 27, 29, 95, 955, 1989, 3775, 609, 7073, 4571, 38857, 92205, 156209}},
{20596, 18, 120897, {1, 3, 1, 13, 29, 57, 97, 47, 499, 641, 587, 2125, 2257, 13911, 13993, 1715, 46233, 181279}},
{20597, 18, 120912, {1, 1, 7, 13, 7, 55, 69, 235, 379, 269, 1969, 2733, 3677, 1707, 26999, 64041, 98111, 138691}},
{20598, 18, 120934, {1, 1, 3, 5, 27, 63, 65, 251, 413, 903, 1307, 2941, 5649, 11271, 1935, 49389, 37995, 218197}},
{20599, 18, 120991, {1, 3, 3, 13, 7, 1, 45, 225, 13, 169, 581, 1657, 117, 10251, 23435, 40379, 127085, 88185}},
{20600, 18, 121004, {1, 1, 7, 5, 21, 63, 69, 37, 459, 115, 1403, 1939, 6437, 13149, 3597, 50115, 129075, 260613}},
{20601, 18, 121021, {1, 1, 3, 5, 29, 57, 15, 223, 131, 907, 1561, 1103, 4355, 2763, 6359, 55401, 1751, 53143}},
{20602, 18, 121022, {1, 1, 7, 11, 15, 5, 17, 159, 505, 407, 1873, 2501, 2203, 12559, 5123, 53281, 29307, 16215}},
{20603, 18, 121036, {1, 1, 1, 15, 9, 41, 77, 145, 325, 529, 1939, 3835, 3109, 12215, 18323, 2551, 89793, 94745}},
{20604, 18, 121041, {1, 3, 1, 9, 21, 5, 7, 57, 99, 1005, 1211, 4063, 6851, 7653, 29283, 15463, 121289, 187055}},
{20605, 18, 121069, {1, 1, 3, 3, 13, 11, 17, 125, 173, 283, 1419, 2533, 6875, 16031, 26633, 51027, 27343, 74257}},
{20606, 18, 121078, {1, 1, 3, 11, 29, 49, 87, 19, 367, 941, 983, 1041, 8099, 8735, 30123, 62665, 87051, 98745}},
{20607, 18, 121126, {1, 1, 1, 15, 25, 57, 97, 177, 467, 181, 923, 3833, 5405, 14335, 23495, 48323, 70331, 136825}},
{20608, 18, 121135, {1, 1, 1, 13, 21, 17, 29, 237, 305, 117, 1077, 2999, 1879, 6875, 19321, 10999, 130513, 160883}},
{20609, 18, 121138, {1, 3, 7, 15, 19, 47, 89, 153, 287, 7, 1429, 1507, 2853, 4197, 11195, 33891, 59063, 189601}},
{20610, 18, 121162, {1, 1, 3, 15, 31, 5, 113, 71, 13, 925, 147, 451, 5701, 13671, 13943, 13799, 59627, 115715}},
{20611, 18, 121176, {1, 1, 1, 5, 13, 25, 51, 11, 409, 393, 1479, 2583, 3101, 303, 17609, 10653, 69107, 150459}},
{20612, 18, 121186, {1, 1, 5, 7, 21, 27, 107, 77, 61, 467, 1723, 1247, 287, 1039, 25347, 18111, 24837, 42903}},
{20613, 18, 121209, {1, 3, 5, 5, 1, 29, 57, 177, 311, 9, 819, 3235, 3887, 9679, 11849, 31755, 68467, 135587}},
{20614, 18, 121212, {1, 1, 5, 5, 29, 15, 13, 69, 163, 709, 1405, 3835, 777, 7567, 10153, 5043, 129465, 59113}},
{20615, 18, 121221, {1, 1, 1, 13, 3, 47, 97, 101, 179, 53, 1919, 17, 3597, 11769, 17971, 39257, 76167, 255653}},
{20616, 18, 121225, {1, 1, 7, 5, 1, 45, 121, 223, 299, 271, 1857, 1955, 5509, 1245, 9519, 60547, 78497, 191251}},
{20617, 18, 121228, {1, 1, 1, 11, 5, 57, 87, 113, 59, 547, 1591, 1905, 475, 4687, 27591, 43807, 9617, 70769}},
{20618, 18, 121239, {1, 1, 7, 1, 1, 35, 35, 11, 107, 401, 827, 2271, 2131, 12751, 25771, 51311, 46897, 198655}},
{20619, 18, 121245, {1, 3, 3, 3, 15, 29, 91, 147, 9, 611, 1739, 3211, 3883, 14205, 24073, 37445, 54451, 208123}},
{20620, 18, 121264, {1, 3, 7, 1, 25, 53, 33, 161, 365, 651, 1263, 1623, 1767, 3789, 18013, 52133, 60119, 100859}},
{20621, 18, 121270, {1, 3, 5, 9, 15, 9, 97, 67, 379, 981, 1323, 1095, 3701, 3257, 13647, 12511, 53375, 156689}},
{20622, 18, 121299, {1, 1, 3, 5, 9, 23, 97, 239, 171, 501, 1549, 1029, 8019, 5023, 9439, 14223, 54433, 152855}},
{20623, 18, 121306, {1, 1, 7, 13, 17, 35, 111, 169, 81, 599, 1673, 3461, 7905, 7925, 16311, 20327, 57109, 158719}},
{20624, 18, 121315, {1, 1, 3, 15, 7, 33, 23, 33, 273, 987, 1489, 363, 4017, 8919, 28839, 10143, 114179, 218155}},
{20625, 18, 121317, {1, 3, 5, 13, 29, 5, 61, 133, 65, 933, 509, 551, 7365, 3703, 15003, 27849, 64211, 140383}},
{20626, 18, 121321, {1, 1, 1, 13, 7, 25, 49, 1, 269, 601, 251, 33, 2443, 13725, 5805, 63347, 109489, 111491}},
{20627, 18, 121324, {1, 1, 7, 9, 31, 23, 117, 71, 371, 733, 605, 4019, 4577, 3887, 31061, 24939, 57905, 148331}},
{20628, 18, 121330, {1, 3, 5, 1, 3, 35, 35, 227, 355, 27, 1673, 2173, 5001, 14613, 6343, 40775, 72349, 101287}},
{20629, 18, 121339, {1, 1, 7, 15, 29, 3, 43, 77, 43, 51, 1495, 2577, 2093, 7515, 20151, 44533, 32223, 6355}},
{20630, 18, 121346, {1, 1, 5, 5, 11, 47, 91, 221, 35, 969, 343, 3287, 857, 4851, 12599, 939, 53615, 262125}},
{20631, 18, 121370, {1, 1, 5, 7, 29, 11, 67, 155, 317, 629, 211, 583, 1061, 13243, 13999, 45405, 18187, 99021}},
{20632, 18, 121372, {1, 3, 7, 13, 3, 39, 5, 207, 175, 515, 1181, 739, 379, 9919, 12079, 18903, 62475, 239383}},
{20633, 18, 121393, {1, 1, 1, 15, 25, 15, 113, 215, 281, 861, 1055, 2577, 5545, 12365, 16097, 35775, 8331, 119353}},
{20634, 18, 121396, {1, 1, 1, 1, 25, 55, 111, 185, 485, 361, 155, 4077, 5517, 16057, 19069, 40129, 38959, 211233}},
{20635, 18, 121414, {1, 1, 3, 3, 13, 1, 93, 129, 243, 813, 115, 177, 53, 8251, 32351, 63847, 54537, 25527}},
{20636, 18, 121442, {1, 3, 5, 11, 25, 47, 113, 69, 285, 451, 2011, 81, 6535, 3409, 8647, 56575, 975, 149571}},
{20637, 18, 121475, {1, 1, 7, 7, 19, 1, 75, 123, 413, 697, 41, 3179, 4075, 15967, 2477, 17549, 54193, 258657}},
{20638, 18, 121499, {1, 1, 5, 5, 11, 23, 19, 253, 303, 255, 901, 875, 1517, 6953, 25189, 26763, 28843, 167705}},
{20639, 18, 121512, {1, 3, 7, 7, 17, 45, 31, 79, 279, 965, 1869, 1201, 1627, 14035, 11651, 45021, 76171, 49137}},
{20640, 18, 121518, {1, 3, 1, 15, 9, 55, 83, 59, 437, 915, 1667, 89, 2797, 1841, 29261, 23497, 55785, 102265}},
{20641, 18, 121588, {1, 1, 5, 5, 3, 59, 17, 131, 199, 541, 1647, 2175, 4449, 6081, 10609, 39467, 72945, 32423}},
{20642, 18, 121597, {1, 3, 1, 7, 5, 7, 85, 11, 255, 397, 87, 1661, 6523, 5699, 29407, 28015, 50783, 246625}},
{20643, 18, 121612, {1, 3, 3, 13, 5, 61, 123, 147, 295, 37, 301, 2549, 7615, 5725, 32477, 18121, 69353, 242579}},
{20644, 18, 121629, {1, 3, 5, 7, 9, 45, 83, 211, 475, 281, 743, 3955, 7811, 6043, 30547, 5315, 53345, 25775}},
{20645, 18, 121630, {1, 3, 3, 5, 7, 63, 125, 43, 131, 353, 345, 1689, 5483, 5467, 13445, 13041, 68381, 134567}},
{20646, 18, 121634, {1, 3, 5, 11, 31, 9, 123, 53, 237, 911, 349, 3737, 1867, 7375, 3031, 4191, 8697, 182255}},
{20647, 18, 121680, {1, 1, 3, 3, 11, 11, 89, 251, 69, 93, 1241, 1719, 2227, 1793, 21683, 58099, 110831, 24835}},
{20648, 18, 121725, {1, 1, 5, 9, 3, 57, 3, 17, 11, 217, 923, 3623, 727, 1837, 21203, 63007, 33691, 216259}},
{20649, 18, 121798, {1, 3, 3, 9, 21, 25, 83, 115, 325, 921, 811, 303, 3555, 10669, 5837, 45585, 61923, 159061}},
{20650, 18, 121815, {1, 3, 3, 15, 17, 29, 77, 75, 509, 363, 199, 317, 7375, 11971, 15679, 17135, 101925, 103375}},
{20651, 18, 121822, {1, 3, 5, 5, 29, 45, 85, 151, 73, 329, 911, 3055, 2381, 4717, 5133, 58987, 59885, 226689}},
{20652, 18, 121837, {1, 3, 5, 1, 11, 59, 17, 83, 385, 867, 215, 2275, 7247, 10613, 6493, 63843, 74483, 134271}},
{20653, 18, 121840, {1, 1, 7, 13, 29, 25, 77, 61, 281, 439, 353, 2213, 697, 14741, 1597, 7515, 7703, 149123}},
{20654, 18, 121869, {1, 3, 7, 7, 7, 53, 77, 21, 483, 793, 969, 123, 3581, 12489, 22943, 54573, 25785, 178419}},
{20655, 18, 121878, {1, 3, 5, 3, 17, 59, 75, 55, 125, 569, 1625, 77, 4593, 8493, 5259, 54537, 100479, 107509}},
{20656, 18, 121897, {1, 1, 1, 15, 5, 7, 11, 169, 349, 133, 1113, 2877, 6109, 16275, 9755, 1385, 55005, 36095}},
{20657, 18, 121920, {1, 1, 7, 7, 21, 25, 41, 161, 11, 321, 343, 705, 4601, 12867, 21997, 25283, 78467, 159089}},
{20658, 18, 121929, {1, 3, 7, 1, 15, 3, 71, 227, 427, 883, 1021, 1405, 7791, 12669, 9159, 30931, 105993, 40917}},
{20659, 18, 121944, {1, 1, 5, 5, 25, 41, 93, 57, 125, 915, 701, 2589, 7147, 15369, 28307, 54635, 13253, 97177}},
{20660, 18, 121999, {1, 3, 1, 13, 11, 63, 103, 241, 317, 927, 965, 3179, 5213, 13849, 11509, 52665, 1637, 235647}},
{20661, 18, 122008, {1, 3, 5, 3, 31, 31, 111, 9, 339, 1017, 1715, 101, 6849, 14329, 31607, 40741, 73067, 119001}},
{20662, 18, 122056, {1, 3, 1, 13, 3, 55, 53, 15, 185, 717, 1447, 3029, 4899, 14217, 19949, 32817, 24829, 206829}},
{20663, 18, 122062, {1, 3, 7, 9, 21, 11, 33, 213, 5, 769, 1807, 2179, 63, 5167, 23235, 25495, 113299, 129419}},
{20664, 18, 122067, {1, 3, 7, 11, 11, 33, 23, 125, 21, 609, 595, 1329, 6175, 15837, 3889, 57797, 81453, 211413}},
{20665, 18, 122083, {1, 1, 5, 11, 31, 7, 13, 73, 143, 559, 1541, 275, 3349, 2987, 21797, 32921, 125395, 247667}},
{20666, 18, 122095, {1, 1, 3, 11, 19, 1, 23, 167, 337, 75, 1597, 3591, 2705, 7323, 5957, 7317, 58945, 44625}},
{20667, 18, 122110, {1, 1, 5, 11, 27, 19, 63, 231, 353, 645, 531, 3861, 1681, 6901, 16217, 20639, 70077, 220233}},
{20668, 18, 122118, {1, 1, 5, 15, 31, 41, 19, 253, 147, 365, 509, 1199, 6699, 14633, 1339, 48203, 58707, 83315}},
{20669, 18, 122127, {1, 1, 5, 7, 19, 47, 47, 17, 267, 139, 549, 803, 4625, 6851, 32141, 12891, 43785, 211361}},
{20670, 18, 122189, {1, 3, 1, 13, 19, 35, 13, 45, 167, 627, 1449, 3041, 5043, 9279, 15889, 41675, 25769, 13835}},
{20671, 18, 122207, {1, 3, 7, 7, 19, 47, 13, 117, 403, 79, 1623, 3741, 3255, 2301, 25, 2311, 5237, 150879}},
{20672, 18, 122226, {1, 1, 1, 15, 29, 43, 75, 21, 237, 809, 129, 2637, 181, 15921, 30709, 61281, 82405, 232885}},
{20673, 18, 122253, {1, 1, 3, 15, 15, 15, 55, 217, 243, 579, 945, 3993, 1875, 2425, 25045, 36729, 42935, 213703}},
{20674, 18, 122301, {1, 3, 3, 1, 5, 59, 115, 71, 483, 327, 701, 2893, 1815, 4611, 3843, 5893, 126479, 167807}},
{20675, 18, 122324, {1, 3, 1, 7, 17, 59, 115, 191, 3, 615, 215, 2121, 5085, 15233, 16661, 6215, 31061, 192847}},
{20676, 18, 122337, {1, 3, 1, 1, 21, 25, 41, 195, 151, 905, 1587, 439, 3317, 2275, 4743, 33505, 1185, 254873}},
{20677, 18, 122362, {1, 1, 3, 9, 11, 49, 37, 117, 419, 1007, 789, 1323, 345, 2047, 20697, 57063, 69167, 219393}},
{20678, 18, 122368, {1, 3, 1, 1, 25, 49, 81, 79, 117, 1015, 1777, 2427, 527, 10139, 16261, 42587, 33933, 19749}},
{20679, 18, 122371, {1, 1, 5, 15, 31, 43, 19, 17, 97, 591, 891, 177, 7835, 3979, 15473, 2173, 65555, 182773}},
{20680, 18, 122378, {1, 1, 3, 15, 13, 53, 31, 179, 247, 635, 683, 423, 2981, 14401, 26385, 10935, 68497, 181703}},
{20681, 18, 122404, {1, 3, 3, 9, 25, 55, 43, 29, 487, 969, 989, 3561, 6425, 11619, 5773, 56515, 17461, 151239}},
{20682, 18, 122443, {1, 1, 5, 13, 3, 31, 73, 51, 213, 215, 297, 783, 697, 14197, 7277, 60697, 985, 189995}},
{20683, 18, 122451, {1, 3, 3, 5, 9, 47, 69, 27, 15, 407, 1029, 2541, 183, 4413, 5143, 33903, 49509, 49007}},
{20684, 18, 122457, {1, 1, 1, 3, 5, 3, 9, 165, 215, 577, 1657, 363, 737, 5483, 5955, 34533, 45861, 104645}},
{20685, 18, 122458, {1, 1, 5, 7, 31, 27, 37, 215, 125, 915, 1297, 3095, 1529, 12737, 25675, 29355, 83939, 106765}},
{20686, 18, 122479, {1, 1, 3, 3, 1, 49, 29, 115, 395, 647, 147, 3905, 1025, 8873, 10587, 25471, 72089, 171467}},
{20687, 18, 122484, {1, 3, 7, 1, 21, 55, 57, 233, 487, 883, 439, 929, 1405, 13709, 2389, 20205, 17579, 9129}},
{20688, 18, 122521, {1, 3, 5, 5, 23, 51, 55, 45, 307, 855, 933, 1443, 4757, 8719, 28401, 35189, 105329, 9211}},
{20689, 18, 122540, {1, 3, 7, 11, 29, 17, 17, 147, 221, 997, 1433, 59, 8027, 231, 30335, 2153, 21393, 116661}},
{20690, 18, 122545, {1, 1, 7, 3, 5, 43, 47, 155, 357, 915, 1923, 3315, 4107, 9785, 4847, 57683, 87569, 179583}},
{20691, 18, 122552, {1, 1, 7, 7, 27, 5, 37, 95, 265, 113, 143, 3755, 5793, 5601, 16621, 54777, 15989, 158933}},
{20692, 18, 122560, {1, 3, 1, 1, 13, 31, 113, 255, 367, 559, 1777, 4065, 8061, 15785, 10345, 54833, 95277, 159347}},
{20693, 18, 122575, {1, 1, 1, 15, 3, 43, 85, 251, 193, 19, 1685, 271, 1779, 11901, 18983, 65361, 128217, 248051}},
{20694, 18, 122578, {1, 3, 5, 7, 29, 21, 5, 47, 263, 913, 83, 3233, 113, 8341, 14473, 37405, 2363, 155931}},
{20695, 18, 122605, {1, 1, 7, 15, 7, 25, 41, 39, 315, 323, 827, 1277, 1211, 4465, 21161, 36865, 6689, 139147}},
{20696, 18, 122661, {1, 1, 1, 9, 11, 45, 81, 235, 31, 247, 77, 1877, 7119, 16007, 2225, 65, 85537, 99251}},
{20697, 18, 122673, {1, 1, 3, 11, 19, 5, 49, 179, 345, 961, 349, 2099, 2317, 12771, 27169, 59389, 116071, 68333}},
{20698, 18, 122722, {1, 3, 3, 5, 15, 53, 47, 177, 103, 941, 87, 2813, 7729, 8003, 7717, 40095, 74569, 106617}},
{20699, 18, 122728, {1, 1, 7, 7, 31, 23, 105, 205, 325, 855, 1529, 3601, 7151, 15827, 16241, 18221, 55771, 139225}},
{20700, 18, 122739, {1, 3, 5, 13, 13, 5, 95, 167, 25, 779, 1147, 221, 5055, 10943, 28077, 15131, 89501, 137407}},
{20701, 18, 122751, {1, 3, 7, 13, 31, 3, 105, 163, 41, 823, 1493, 2985, 5589, 3543, 24683, 34469, 40595, 200875}},
{20702, 18, 122762, {1, 3, 5, 3, 27, 35, 105, 163, 477, 667, 45, 319, 3201, 11535, 19349, 55253, 60275, 209597}},
{20703, 18, 122769, {1, 3, 1, 11, 5, 13, 25, 225, 169, 925, 1617, 537, 891, 5583, 7181, 39953, 97537, 104019}},
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{21127, 18, 129829, {1, 3, 7, 13, 25, 61, 117, 107, 175, 7, 1173, 561, 5777, 10525, 20713, 34987, 48005, 214361}},
{21128, 18, 129848, {1, 3, 7, 15, 25, 31, 127, 147, 177, 881, 95, 2115, 4765, 10485, 9253, 721, 193, 222459}},
{21129, 18, 129854, {1, 3, 5, 3, 3, 13, 47, 77, 441, 1001, 215, 2365, 3603, 405, 11401, 14523, 65755, 258229}},
{21130, 18, 129861, {1, 1, 3, 9, 19, 29, 71, 153, 77, 613, 1815, 2033, 1821, 15497, 18805, 28851, 88247, 143115}},
{21131, 18, 129879, {1, 3, 1, 11, 21, 19, 37, 35, 427, 887, 1977, 1961, 3619, 10739, 30115, 55937, 102045, 110929}},
{21132, 18, 129886, {1, 3, 3, 13, 21, 27, 49, 15, 405, 629, 2015, 867, 2121, 13789, 19225, 22343, 105629, 123113}},
{21133, 18, 129907, {1, 1, 1, 1, 17, 19, 55, 207, 507, 1001, 1753, 315, 2799, 8643, 1519, 4057, 16599, 222223}},
{21134, 18, 129949, {1, 1, 5, 7, 21, 37, 63, 53, 103, 261, 595, 389, 6041, 11127, 23625, 61683, 80953, 255891}},
{21135, 18, 129953, {1, 1, 1, 5, 25, 21, 81, 233, 79, 57, 1311, 3965, 7747, 687, 32149, 397, 4551, 37657}},
{21136, 18, 129980, {1, 1, 1, 5, 9, 19, 87, 67, 325, 157, 317, 591, 1401, 8275, 20413, 39529, 75349, 183679}},
{21137, 18, 129998, {1, 3, 3, 15, 9, 3, 83, 205, 195, 599, 829, 3109, 3705, 13991, 8781, 41555, 31689, 86933}},
{21138, 18, 130031, {1, 3, 5, 1, 3, 9, 37, 235, 271, 883, 561, 1473, 7693, 177, 14113, 19507, 75221, 67517}},
{21139, 18, 130043, {1, 1, 1, 9, 7, 29, 87, 189, 239, 429, 537, 1657, 6373, 2449, 17621, 19649, 77235, 102775}},
{21140, 18, 130057, {1, 1, 7, 7, 1, 43, 69, 207, 241, 561, 1809, 3119, 4657, 15797, 18751, 52169, 105005, 172657}},
{21141, 18, 130065, {1, 1, 7, 5, 5, 59, 67, 231, 27, 435, 1073, 2689, 229, 733, 1579, 52289, 110285, 76721}},
{21142, 18, 130087, {1, 3, 5, 9, 31, 19, 87, 41, 489, 705, 1363, 963, 5865, 8237, 10295, 43169, 81561, 177209}},
{21143, 18, 130091, {1, 3, 3, 1, 25, 39, 63, 255, 403, 625, 1601, 71, 6609, 4165, 21987, 31269, 25473, 17063}},
{21144, 18, 130096, {1, 3, 3, 11, 19, 13, 101, 245, 17, 687, 1037, 3345, 7257, 13081, 5131, 29003, 72319, 223505}},
{21145, 18, 130101, {1, 3, 3, 3, 11, 49, 107, 29, 463, 465, 977, 4007, 2121, 4821, 1465, 53725, 36783, 247057}},
{21146, 18, 130111, {1, 1, 1, 3, 1, 43, 71, 49, 261, 965, 1041, 3951, 3791, 2503, 26009, 52039, 4639, 141281}},
{21147, 18, 130126, {1, 1, 3, 5, 29, 45, 79, 33, 119, 491, 1403, 1637, 853, 5609, 29853, 16435, 117877, 58443}},
{21148, 18, 130137, {1, 1, 3, 5, 13, 17, 109, 187, 201, 705, 235, 1485, 7673, 6335, 3341, 20451, 64697, 129519}},
{21149, 18, 130138, {1, 1, 7, 13, 11, 41, 95, 81, 135, 783, 1293, 2095, 3599, 10175, 3205, 56915, 131, 19281}},
{21150, 18, 130149, {1, 3, 5, 9, 13, 19, 53, 223, 283, 733, 1915, 3029, 2779, 8133, 28163, 37263, 91245, 1927}},
{21151, 18, 130177, {1, 3, 3, 3, 1, 55, 41, 123, 209, 195, 1423, 2467, 3809, 11169, 23593, 8703, 40975, 175651}},
{21152, 18, 130180, {1, 3, 7, 9, 31, 57, 31, 115, 415, 445, 557, 3971, 1565, 15223, 7799, 10463, 117387, 225127}},
{21153, 18, 130214, {1, 3, 5, 11, 31, 19, 3, 63, 315, 501, 903, 1925, 3393, 16149, 11013, 15483, 70765, 279}},
{21154, 18, 130228, {1, 3, 3, 9, 29, 21, 13, 227, 263, 815, 1259, 2549, 955, 9237, 16083, 38891, 31145, 731}},
{21155, 18, 130240, {1, 3, 3, 5, 27, 23, 33, 189, 107, 655, 889, 1549, 7315, 13341, 12721, 59339, 54503, 91679}},
{21156, 18, 130267, {1, 3, 7, 5, 15, 9, 1, 255, 451, 91, 1279, 2359, 5913, 5215, 23161, 29327, 45275, 206709}},
{21157, 18, 130280, {1, 3, 3, 9, 9, 41, 75, 91, 87, 695, 335, 3375, 7307, 14095, 5359, 7815, 9339, 46387}},
{21158, 18, 130294, {1, 1, 3, 15, 5, 47, 69, 231, 423, 255, 1335, 3395, 2799, 8955, 31445, 59849, 104955, 240587}},
{21159, 18, 130306, {1, 3, 5, 7, 7, 9, 21, 209, 321, 5, 653, 2199, 3657, 6397, 20229, 32349, 54543, 47971}},
{21160, 18, 130325, {1, 3, 7, 11, 31, 21, 85, 49, 197, 865, 53, 609, 1867, 14503, 12671, 61703, 39245, 8493}},
{21161, 18, 130398, {1, 3, 1, 13, 27, 31, 119, 247, 209, 65, 1729, 1563, 1597, 1617, 26597, 50139, 108667, 77035}},
{21162, 18, 130402, {1, 1, 5, 13, 3, 49, 53, 219, 71, 1013, 1239, 3725, 117, 9273, 8277, 32619, 45933, 71509}},
{21163, 18, 130421, {1, 3, 7, 13, 1, 3, 119, 153, 79, 555, 429, 1221, 3725, 6073, 1295, 7187, 117709, 258911}},
{21164, 18, 130438, {1, 3, 3, 13, 1, 13, 105, 185, 81, 989, 563, 3761, 6725, 4699, 10539, 50247, 95307, 211927}},
{21165, 18, 130441, {1, 3, 7, 3, 21, 11, 45, 81, 495, 391, 1437, 3495, 3789, 13701, 9479, 42505, 22561, 135019}},
{21166, 18, 130475, {1, 3, 3, 11, 7, 61, 65, 211, 269, 997, 385, 3843, 4905, 2939, 28551, 19515, 25177, 68137}},
{21167, 18, 130486, {1, 1, 3, 3, 3, 47, 73, 127, 15, 977, 209, 1791, 4711, 6733, 29093, 36311, 13665, 240603}},
{21168, 18, 130503, {1, 3, 5, 5, 19, 39, 29, 211, 463, 755, 1723, 397, 213, 14009, 22701, 7131, 35587, 183885}},
{21169, 18, 130551, {1, 3, 5, 9, 11, 29, 7, 25, 381, 631, 1343, 2255, 2535, 3239, 7287, 14161, 69295, 85245}},
{21170, 18, 130574, {1, 1, 5, 5, 17, 47, 19, 217, 289, 411, 1855, 323, 4109, 2601, 5835, 61909, 99333, 99959}},
{21171, 18, 130602, {1, 1, 3, 11, 1, 51, 121, 207, 403, 993, 1171, 3451, 3389, 957, 22125, 9333, 110775, 54125}},
{21172, 18, 130612, {1, 3, 5, 15, 9, 51, 13, 251, 203, 861, 321, 2017, 6933, 10785, 20089, 65213, 105451, 117319}},
{21173, 18, 130621, {1, 3, 3, 15, 19, 63, 89, 217, 269, 723, 57, 1923, 4267, 4895, 2191, 21605, 62401, 11063}},
{21174, 18, 130633, {1, 3, 1, 3, 21, 47, 103, 75, 167, 989, 1401, 575, 3717, 10373, 21321, 5487, 36063, 140411}},
{21175, 18, 130684, {1, 1, 7, 15, 19, 29, 121, 197, 429, 773, 901, 1875, 291, 11395, 31459, 55041, 49263, 185143}},
{21176, 18, 130688, {1, 3, 3, 1, 19, 17, 19, 21, 41, 885, 1665, 547, 5887, 6205, 3317, 59399, 125559, 82721}},
{21177, 18, 130698, {1, 3, 1, 9, 15, 39, 81, 9, 279, 33, 1287, 3035, 5759, 10647, 3933, 20953, 3137, 30693}},
{21178, 18, 130700, {1, 3, 5, 13, 3, 33, 33, 169, 233, 83, 467, 3719, 5617, 6165, 15631, 56059, 95541, 245233}},
{21179, 18, 130712, {1, 3, 5, 13, 5, 21, 81, 9, 413, 247, 1307, 3363, 3383, 11525, 1259, 8735, 36507, 98359}},
{21180, 18, 130739, {1, 1, 1, 13, 17, 49, 105, 131, 385, 309, 1295, 565, 8031, 15391, 31263, 52657, 102721, 212195}},
{21181, 18, 130748, {1, 3, 1, 7, 13, 41, 21, 103, 237, 649, 55, 1565, 6327, 8743, 15457, 29975, 34165, 80839}},
{21182, 18, 130774, {1, 3, 5, 11, 15, 31, 121, 219, 375, 159, 731, 59, 3205, 15039, 10023, 46209, 34619, 110253}},
{21183, 18, 130783, {1, 3, 3, 11, 31, 19, 79, 185, 363, 635, 463, 987, 2681, 6405, 30077, 21173, 14213, 58095}},
{21184, 18, 130802, {1, 1, 5, 13, 23, 37, 57, 111, 293, 553, 269, 3393, 345, 1983, 1097, 47217, 22281, 212607}},
{21185, 18, 130811, {1, 3, 5, 7, 7, 33, 65, 61, 185, 411, 187, 641, 6437, 4625, 17547, 38941, 81119, 48651}},
{21186, 18, 130836, {1, 1, 7, 3, 19, 25, 39, 243, 139, 465, 691, 713, 7879, 14539, 31669, 35871, 130681, 255929}},
{21187, 18, 130840, {1, 3, 1, 1, 3, 43, 87, 13, 179, 835, 719, 1189, 7207, 5863, 6077, 20669, 35469, 211155}},
{21188, 18, 130856, {1, 3, 7, 13, 25, 59, 97, 129, 151, 985, 739, 1919, 7729, 14057, 21721, 17603, 82797, 181319}},
{21189, 18, 130864, {1, 1, 7, 7, 5, 3, 21, 141, 379, 257, 207, 597, 4051, 7563, 25481, 59427, 45449, 61159}},
{21190, 18, 130873, {1, 3, 3, 9, 11, 25, 5, 29, 131, 603, 637, 189, 4033, 13099, 15219, 4447, 73501, 135795}},
{21191, 18, 130918, {1, 3, 1, 9, 1, 49, 57, 227, 141, 543, 1499, 3525, 3127, 11191, 4071, 47003, 7431, 155137}},
{21192, 18, 130927, {1, 3, 1, 11, 27, 31, 15, 31, 113, 135, 1251, 245, 6965, 14263, 5679, 55201, 121453, 132503}},
{21193, 18, 130929, {1, 1, 5, 15, 7, 23, 67, 163, 57, 513, 1809, 1343, 6165, 199, 31169, 30803, 86705, 71103}},
{21194, 18, 130958, {1, 1, 3, 1, 15, 9, 75, 143, 273, 797, 819, 4037, 2305, 4841, 15697, 41191, 38187, 174131}},
{21195, 18, 130966, {1, 3, 7, 7, 3, 55, 65, 135, 423, 185, 299, 2221, 7987, 4223, 28183, 32273, 95941, 260297}},
{21196, 18, 130970, {1, 1, 7, 7, 7, 11, 67, 109, 507, 673, 1555, 2537, 7553, 4659, 3945, 20839, 32539, 43053}},
{21197, 18, 130976, {1, 1, 7, 15, 1, 47, 61, 73, 211, 397, 1785, 4063, 6461, 13725, 11299, 17565, 80063, 118271}},
{21198, 18, 131006, {1, 1, 7, 5, 29, 27, 97, 105, 379, 153, 915, 2795, 4933, 6729, 21207, 9995, 70241, 85641}},
{21199, 18, 131008, {1, 3, 5, 5, 23, 13, 41, 67, 127, 649, 1351, 3597, 7077, 4989, 14649, 17401, 70883, 239841}},
{21200, 18, 131020, {1, 1, 5, 1, 19, 1, 83, 3, 425, 873, 1943, 3935, 4257, 14587, 11829, 55217, 21963, 39683}},
{21201, 18, 131059, {1, 1, 7, 11, 15, 7, 37, 239, 337, 245, 1557, 3681, 7357, 9639, 27367, 26869, 114603, 86317}}
};

void sobol_generate_direction_vectors(uint vectors[][SOBOL_BITS], int dimensions)
{
    assert(dimensions <= SOBOL_MAX_DIMENSIONS);

    const uint L = SOBOL_BITS;

    /* first dimension is exception */
    uint *v = vectors[0];

    for(uint i = 0; i < L; i++)
        v[i] = 1 << (31-i); // all m's = 1

    for(int dim = 1; dim < dimensions; dim++) {
        SobolDirectionNumbers *numbers = &SOBOL_NUMBERS[dim-1];
        uint s = numbers->s;
        uint a = numbers->a;
        uint *m = numbers->m;

        v = vectors[dim];

        if(L <= s) {
            for(uint i = 0; i < L; i++)
                v[i] = m[i] << (31-i); 
        }
        else {
            for(uint i = 0; i < s; i++)
                v[i] = m[i] << (31-i); 

            for(uint i = s; i < L; i++) {
                v[i] = v[i-s] ^ (v[i-s] >> s); 

                for(uint k = 1; k < s; k++) 
                    v[i] ^= (((a >> (s-1-k)) & 1) * v[i-k]); 
            }
        }
    }
}

CCL_NAMESPACE_END