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