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