[[0,1,2,44,117,154,366,367,368,369,401,409,428,429,450,499,512,558,704,705,737,757,814,815,817,846,848,984],[4,34,35,46,64,65,89,155,370,404,414,427,451,477,487,536,559,560,600,706,707,742,766,767,816,855,869,873,874,875,908,985,986,1021],[3,7,91,159,212,216,297,371,372,495,547,633,708,738,748,768,804,818,819,851,862,902,918,961,1018],[5,6,38,66,67,90,125,138,156,157,208,228,229,296,319,373,374,400,405,430,431,470,511,513,514,709,711,735,740,747,750,765,769,792,800,821,822,876,910,911,919,920,972,1020],[55,68,69,92,109,112,149,158,209,230,231,277,346,432,433,452,453,474,498,502,537,561,562,589,601,710,713,714,749,752,770,820,849,852,877,878,879,915,982],[9,10,49,52,93,116,122,135,145,160,232,233,234,262,266,291,292,298,335,349,375,377,397,406,407,423,434,435,456,481,507,581,599,668,712,736,758,762,764,813,823,824,912,957,987],[8,53,110,121,129,130,137,139,198,235,237,283,299,376,378,411,413,419,437,458,483,484,496,515,602,634,664,677,746,759,761,772,773,774,825,826,871,903,921,940,941,988,1006],[11,12,14,16,37,40,48,59,74,128,141,161,162,163,193,205,222,273,286,300,301,517,552,563,564,596,635,675,684,688,703,715,716,803,854,858,863,880,899,904,914,916,924,976,989],[32,39,95,127,143,195,197,207,211,236,276,279,287,295,382,398,420,421,454,455,471,472,494,501,504,518,543,583,603,606,607,655,672,674,697,717,718,720,753,805,806,810,811,827,867,872,901,925],[13,18,47,62,70,94,133,140,164,289,340,381,399,410,436,478,485,488,493,497,508,516,522,549,584,588,590,604,669,670,676,685,693,722,723,754,756,771,790,796,828,829,865,881,882,883,905,906,909,955,990,1010],[56,71,72,73,75,76,96,97,98,118,142,165,192,220,224,238,241,264,265,290,302,357,358,379,380,385,422,424,425,426,440,457,480,542,585,594,609,679,681,721,745,751,775,797,801,808,853,884,922,923,928,1008,1013,1016],[15,17,22,43,50,61,77,100,111,131,134,151,215,284,320,331,334,347,355,389,408,416,417,418,439,459,500,505,519,520,545,587,592,593,639,660,680,687,694,699,719,739,763,777,791,793,795,833,844,868,942,1014],[20,33,45,60,99,148,152,166,167,194,204,221,270,288,304,306,341,352,361,383,386,415,438,475,479,503,509,521,523,565,610,611,613,636,640,654,659,665,667,691,695,744,776,794,812,830,834,859,885,898,913,927,974,991,1005],[23,41,42,51,78,79,101,113,114,120,150,170,239,240,242,285,303,305,307,321,353,402,461,541,548,550,595,598,608,615,637,641,661,683,689,698,743,778,779,798,831,832,837,838,845,847,856,857,870,896,900,907,926,943,944,970,1004,1015,1019],[19,21,24,119,126,146,218,274,339,343,384,388,403,462,486,489,492,535,568,579,586,591,605,612,614,621,638,643,644,658,673,686,692,725,728,741,755,780,850,861,864,886,917,945,956,967,969,977,1023],[36,54,58,63,80,81,132,136,172,243,244,280,310,322,323,363,387,390,392,441,463,491,510,544,566,567,569,616,617,619,645,652,682,690,724,731,760,782,783,802,809,835,839,887,888,978,983],[25,26,57,83,102,168,217,267,268,324,325,333,337,356,412,442,443,445,460,464,473,525,538,539,557,570,580,618,620,622,629,642,646,657,663,726,732,781,786,799,807,840,841,889,890,897,931,971,980,992,1009],[29,82,86,147,171,180,226,227,245,271,272,275,278,282,336,338,342,350,360,362,365,391,444,490,524,551,554,574,656,671,678,702,727,729,784,787,836,929,930,946,962,1012],[84,103,115,124,173,175,246,248,249,257,263,293,294,308,314,326,329,345,348,394,446,482,506,528,540,553,627,647,648,653,666,696,701,730,734,785,788,866,891,892,932,947,948,949,963,1000,1017],[27,31,85,87,104,153,169,196,206,214,225,247,250,251,312,315,316,327,328,330,332,364,393,396,447,448,465,526,527,530,546,571,623,624,625,628,650,651,700,860,893,933,936,950,993,996,1011],[28,30,105,123,174,181,191,210,223,252,254,269,281,309,311,354,395,449,466,468,476,556,582,597,626,630,789,842,894,895,934,935,965,999,1007],[88,106,107,176,178,182,185,199,200,203,213,253,255,256,313,344,351,467,529,531,532,649,662,733,843,937,938,973,1001],[144,177,179,186,202,258,259,260,261,317,359,469,534,555,631,632,939,994,995,997],[183,184,188,201,318,533,572,573,952,953,958,959,960,968,979,998],[108,219,575,576,577,578,951,954,964,975,981,1002,1022],[187,189,190,966,1003]]