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