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