[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"7":8,"8":9,"9":10,"10":11,"11":12,"14":15,"15":18,"16":19,"17":20,"18":21,"19":22,"22":25,"23":27,"24":28,"26":30,"27":31,"29":34,"30":36,"32":39,"33":40,"34":41,"36":43,"38":45,"39":46,"41":48,"42":49,"43":50,"44":51,"45":53,"46":54,"47":55,"48":56,"49":57,"52":60,"53":61,"54":62,"55":63,"56":65,"57":66,"58":67,"59":69,"60":70,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":81,"71":82,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":103,"91":105,"92":106,"93":107,"94":108,"95":109,"97":111,"98":112,"99":113,"100":114,"101":116,"102":117,"104":119,"105":120,"107":122,"108":123,"110":126,"111":127,"112":128,"113":130,"115":133,"116":135,"117":136,"119":138,"120":139,"121":140,"122":141,"123":142,"125":145,"126":146,"127":147,"128":148,"129":149,"130":150,"131":151,"132":152,"133":153,"134":154,"135":155,"137":157,"138":158,"139":160,"140":161,"141":162,"142":163,"143":165,"144":166,"145":167,"146":168,"147":170,"148":171,"149":172,"150":173,"151":174,"152":177,"153":178,"154":179,"155":180,"156":181,"157":182,"158":183,"160":185,"161":186,"162":187,"163":188,"164":189,"165":190,"167":192,"168":193,"169":194,"170":195,"171":196,"172":197,"173":198,"174":199,"175":200,"176":201,"177":202,"178":203,"179":204,"181":207,"182":208,"184":210,"185":211,"186":212,"188":214,"189":217,"191":220,"192":221,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"201":230,"202":232,"203":233,"204":234,"206":236,"208":238,"209":239,"212":242,"213":243,"214":244,"216":246,"217":247,"218":249,"219":250,"220":251,"221":252,"222":253,"223":254,"224":255,"225":256,"226":257,"227":258,"229":261,"230":262,"231":263,"232":264,"233":265,"234":266,"235":267,"236":268,"237":269,"238":270,"239":271,"240":272,"241":273,"245":277,"246":278,"248":280,"250":282,"252":284,"253":285,"254":286,"255":287,"256":288,"257":289,"259":291,"260":292,"261":293,"262":294,"263":295,"264":296,"266":298,"267":299,"268":300,"272":304,"273":305,"274":306,"275":307,"277":310,"279":312,"280":313,"281":314,"283":316,"284":317,"285":318,"286":319,"287":320,"288":321,"289":322,"290":323,"291":324,"292":325,"293":326,"294":327,"295":328,"296":329,"297":330,"298":332,"299":333,"300":334,"301":335,"302":336,"303":337,"304":339,"305":341,"306":342,"307":343,"308":344,"310":346,"311":347,"312":348,"315":351,"316":352,"317":353,"318":354,"319":355,"320":356,"322":358,"323":359,"324":363,"325":369,"326":371,"327":373,"328":378,"329":382,"330":386,"331":392,"332":393,"335":399,"336":400,"337":405,"338":406,"339":407,"341":410,"343":413,"344":414,"345":418,"346":419,"347":423,"348":428,"349":430,"350":431,"352":440,"353":441,"354":446,"355":448,"356":450,"357":451,"359":456,"360":459,"361":461,"362":471,"363":473,"364":475,"365":481,"366":483,"367":488,"368":490,"369":491,"370":493,"371":494,"372":495,"373":506,"374":507,"375":513,"376":517,"377":525,"378":528,"379":536,"380":539,"381":541,"382":543,"383":547,"384":554,"385":557,"386":560,"387":563,"388":565,"389":566,"390":567,"391":568,"392":572,"393":576,"394":578,"395":579,"396":584,"398":587,"399":588,"400":589,"401":597,"402":598,"403":603,"404":605,"405":612,"406":618,"407":619,"408":621,"409":622,"410":625,"411":627,"412":632,"413":640,"414":645,"415":649,"416":653,"417":656,"418":658,"419":664,"420":670,"421":671,"422":675,"423":678,"424":680,"425":682,"426":683,"427":684,"428":688,"429":691,"430":692,"431":694,"433":701,"434":702,"435":703,"436":705,"437":707,"438":708,"439":710,"440":717,"441":718,"442":721},{"0":3,"1":16,"2":17,"3":26,"4":32,"5":35,"6":38,"7":52,"8":64,"9":68,"10":71,"11":102,"12":104,"13":115,"14":125,"15":129,"16":132,"17":134,"18":144,"19":159,"20":164,"21":169,"22":175,"23":176,"24":205,"25":215,"26":216,"27":218,"28":231,"29":248,"30":259,"31":309,"32":331,"33":338,"34":340,"35":360,"36":361,"37":362,"38":365,"39":367,"40":370,"41":380,"42":381,"43":383,"44":390,"45":396,"46":402,"47":417,"49":426,"50":436,"51":437,"52":442,"53":443,"54":445,"55":447,"56":460,"57":463,"58":465,"59":478,"60":484,"61":486,"62":487,"63":497,"64":500,"65":502,"66":503,"67":504,"68":509,"69":510,"70":514,"71":516,"72":519,"73":522,"74":531,"75":537,"76":538,"77":545,"79":551,"80":555,"81":569,"82":571,"83":575,"84":580,"85":581,"86":583,"87":585,"88":592,"89":595,"90":604,"91":608,"93":613,"94":617,"95":620,"96":626,"97":628,"98":637,"99":639,"100":641,"101":651,"102":660,"103":663,"104":667,"105":668,"106":672,"107":673,"108":676,"109":677,"110":679,"111":685,"112":686,"113":687,"114":689,"115":704,"116":706,"117":715,"118":720,"119":722,"120":723},{"0":101,"1":375,"2":384,"3":385,"4":388,"5":397,"6":403,"7":404,"8":408,"9":412,"10":435,"11":439,"12":468,"13":479,"14":480,"15":499,"16":505,"17":512,"18":518,"19":521,"20":524,"21":535,"22":540,"23":544,"24":552,"25":553,"26":558,"27":559,"28":564,"30":594,"31":614,"32":616,"33":623,"34":629,"35":631,"36":633,"37":636,"38":638,"39":644,"40":646,"41":657,"42":669,"43":681,"44":690,"45":693,"46":696,"47":698,"48":700,"49":711},[366,387,401,415,420,427,444,453,458,466,477,515,548,556,570,590,630,666,709,713],[364,368,377,424,433,464,489,496,498,508,591,600,615,648,652,697,714],[372,376,391,422,454,549,561,562,573,602,610,624,634,659,712,719],[438,457,470,520,542,582,596,635,642,655,699,716],[429,455,472,482,485,550,593,599,601,606,665],[394,416,467,469,492,526,530,643,647,654],[462,523,527,532,534,607],[389,449,529,533],[474,501,577,609,662,674],[379,511,650],[374,432,476],[425],[661]]