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