[{"0":0,"2":2,"3":3,"4":4,"5":5,"6":6,"8":8,"9":9,"10":10,"11":12,"12":13,"13":14,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":25,"24":27,"25":28,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"42":47,"43":48,"45":51,"47":55,"48":56,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":65,"56":66,"57":67,"58":68,"59":71,"60":72,"61":73,"62":74,"63":76,"64":77,"65":78,"66":80,"67":81,"69":83,"71":85,"72":86,"73":87,"74":88,"76":90,"77":92,"78":93,"79":94,"80":95,"81":97,"82":98,"83":99,"84":102,"85":103,"86":104,"87":105,"88":106,"89":108,"90":109,"91":110,"93":113,"94":114,"96":116,"98":118,"99":119,"100":121,"102":124,"103":125,"105":128,"106":129,"107":131,"108":135,"109":136,"110":137,"111":138,"112":139,"113":140,"114":141,"115":142,"116":143,"117":144,"118":145,"119":146,"120":147,"121":149,"122":150,"123":152,"124":153,"125":155,"126":156,"127":157,"128":158,"129":159,"130":160,"131":161,"132":162,"133":163,"134":164,"135":165,"136":166,"137":167,"138":169,"139":170,"140":171,"141":172,"142":173,"143":174,"144":175,"145":176,"146":177,"147":179,"148":180,"149":181,"150":183,"151":184,"152":185,"153":186,"154":187,"155":189,"156":190,"157":191,"158":192,"159":193,"160":194,"161":195,"162":196,"163":197,"164":198,"165":200,"166":201,"167":202,"168":203,"169":204,"170":205,"171":206,"172":207,"173":208,"174":209,"175":210,"176":211,"177":212,"178":213,"180":215,"181":216,"183":218,"184":219,"185":220,"186":222,"187":224,"188":225,"189":227,"190":228,"191":229,"192":230,"193":231,"194":232,"195":233,"197":236,"199":238,"200":239,"201":241,"203":243,"204":246,"206":248,"207":249,"209":251,"210":253,"211":255,"212":256,"213":259,"214":261,"215":263,"216":264,"217":266,"218":267,"219":268,"220":269,"221":270,"222":271,"223":272,"224":273,"225":274,"226":275,"227":276,"228":277,"229":278,"230":279,"231":280,"232":281,"233":282,"234":284,"235":285,"236":286,"237":287,"239":290,"240":291,"241":292,"242":293,"243":294,"244":295,"245":299,"246":300,"247":303,"248":304,"249":306,"250":307,"251":308,"254":313,"255":315,"256":317,"257":318,"258":319,"259":320,"260":321,"262":325,"266":329,"267":330,"268":332,"269":333,"270":334,"271":335,"272":336,"273":337,"274":338,"275":340,"276":341,"277":342,"278":343,"279":345,"280":346,"281":347,"282":348,"283":349,"284":350,"285":351,"286":352,"287":353,"288":354,"289":355,"290":356,"291":357,"292":358,"293":359,"294":361,"295":362,"296":363,"297":364,"298":365,"299":366,"301":369,"302":370,"303":371,"304":372,"305":374,"306":375,"307":376,"309":379,"310":380,"311":381,"312":382,"313":383,"314":384,"315":385,"316":386,"317":387,"318":388,"319":389,"320":390,"321":391,"322":392,"323":393,"324":394,"325":395,"326":396,"327":397,"328":398,"329":399,"330":400,"331":407,"332":409,"333":411,"334":414,"335":419,"336":423,"337":424,"338":427,"339":435,"340":437,"342":447,"343":448,"344":456,"345":458,"346":459,"347":463,"348":464,"349":469,"350":471,"351":472,"352":475,"353":476,"354":478,"355":484,"356":486,"357":487,"358":488,"359":491,"360":492,"361":499,"362":501,"363":502,"364":507,"365":515,"366":517,"367":518,"368":521,"369":529,"370":530,"371":533,"372":535,"373":539,"374":540,"375":546,"376":555,"377":556,"378":559,"379":562,"380":567,"381":568,"382":569,"383":572,"384":576,"385":579,"386":586,"387":587,"388":591,"389":594,"390":596,"391":598,"392":599,"393":601,"394":608,"395":613,"396":614,"397":617,"398":623,"400":630,"401":632,"402":639,"403":640,"404":645,"405":654,"406":663,"407":664,"409":667,"410":678,"411":682,"412":685,"413":687,"414":688,"415":694,"416":697,"417":704,"418":708,"419":710,"420":725,"421":732,"422":734,"423":737,"424":742,"425":747,"426":749,"427":755,"428":760,"429":768,"430":771,"431":773,"432":779,"433":783,"434":785,"435":786,"436":792,"437":795,"438":798},{"0":11,"1":24,"2":26,"3":29,"4":45,"5":49,"6":53,"7":54,"8":57,"9":64,"10":69,"11":70,"12":75,"13":79,"14":91,"15":96,"16":100,"17":101,"18":107,"20":120,"21":123,"22":126,"23":130,"24":132,"25":133,"26":134,"27":148,"28":151,"29":154,"30":168,"31":178,"32":182,"33":188,"34":199,"35":221,"36":223,"37":226,"38":234,"40":244,"41":245,"42":252,"43":254,"44":258,"45":260,"46":262,"47":265,"48":283,"49":289,"50":296,"51":297,"53":301,"54":305,"55":309,"56":311,"57":314,"58":316,"59":322,"60":331,"61":339,"62":344,"63":368,"64":378,"65":402,"66":406,"67":413,"68":415,"69":422,"70":428,"71":430,"72":431,"73":432,"74":434,"75":438,"76":439,"77":441,"78":446,"79":449,"80":450,"81":451,"82":452,"83":453,"84":457,"85":460,"86":461,"87":462,"88":465,"89":467,"90":468,"91":474,"92":479,"93":480,"94":485,"95":489,"96":490,"97":494,"98":495,"99":500,"100":504,"101":506,"102":509,"103":512,"104":524,"105":526,"106":534,"107":538,"108":541,"109":542,"110":543,"111":547,"112":548,"113":552,"114":554,"115":557,"116":558,"117":560,"118":561,"119":563,"120":565,"121":570,"122":573,"123":574,"125":578,"126":582,"127":583,"128":588,"129":602,"130":603,"131":604,"132":606,"133":609,"134":612,"135":620,"136":621,"137":624,"138":626,"139":627,"140":628,"141":629,"142":631,"143":633,"144":634,"145":635,"146":637,"147":638,"148":642,"149":646,"150":648,"151":651,"152":653,"153":655,"154":657,"155":658,"156":659,"157":660,"158":661,"159":670,"160":673,"161":674,"162":676,"163":677,"164":679,"165":680,"166":681,"167":686,"168":689,"169":692,"170":693,"171":696,"172":700,"173":701,"174":702,"175":706,"176":709,"177":711,"178":712,"179":716,"180":717,"181":719,"182":720,"183":721,"184":730,"185":733,"186":735,"187":739,"188":740,"189":741,"190":744,"191":745,"192":748,"193":753,"194":758,"195":761,"196":762,"197":764,"198":767,"199":770,"200":772,"201":774,"202":776,"203":778,"204":780,"205":781,"206":788,"207":797,"208":799,"209":801},[257,302,324,360,373,405,410,418,429,433,436,443,444,454,477,481,496,503,508,513,516,519,522,525,527,531,536,545,571,575,590,595,607,610,611,616,619,622,652,656,662,665,669,672,690,695,699,713,726,728,736,746,750,759,766,769,784,789,790,791,793,796,800],{"0":401,"1":404,"3":420,"4":445,"5":505,"6":511,"7":520,"8":523,"9":550,"10":584,"11":585,"12":593,"13":597,"14":605,"15":641,"16":668,"17":671,"18":675,"19":684,"20":698,"21":705,"22":707,"23":722,"24":765},[417,421,482,544,592,615,618,644,683,691,787],[466,473,528,581,589,643,649,738,752,754,756,775,777],[455,470,497,537,549,703,723,724,782],[440,498,636,714,715,718,731,757],[403,408,426,510,551,564,580,647,729],[416,425,483,493,514,600,727,743],[532,553,566,794],{"2":763}]