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