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