[{"0":0,"1":1,"2":3,"3":6,"4":7,"5":8,"6":9,"7":10,"8":13,"9":14,"10":15,"11":16,"12":17,"13":19,"14":20,"15":22,"16":23,"17":24,"18":25,"19":26,"20":38,"21":42,"22":43,"23":45,"24":47,"25":49,"26":50,"27":52,"28":53,"29":55,"30":57,"31":58,"32":59,"33":60,"34":62,"35":72,"36":76,"37":77,"38":80,"39":81,"40":82,"41":85,"42":86,"43":87,"44":90,"45":92,"46":94,"47":95,"48":96,"49":97,"50":101,"51":110,"52":113,"53":115,"54":118,"55":119,"56":121,"57":125,"58":126,"59":127,"60":128,"61":129,"62":130,"63":132,"64":134,"65":139,"66":140,"69":147,"92":194,"93":195,"94":196,"95":197,"96":199,"97":200,"98":201,"99":202,"100":204,"101":206,"102":207,"103":209,"104":213,"105":214,"106":215,"107":216,"108":218,"109":219,"110":221,"111":233,"112":234,"113":238,"114":239,"115":244,"116":245,"117":249,"118":251,"119":256,"120":259,"121":262,"122":263,"123":264,"124":266,"125":267,"126":268,"127":269,"128":270,"129":271,"130":272,"131":274,"132":275,"133":276,"134":277,"135":278,"136":279,"137":280,"138":281,"139":282,"140":283,"141":285,"142":287,"143":289,"144":290,"145":291,"146":292,"147":293,"148":294,"149":304,"150":306,"151":307,"152":308,"153":312,"154":314,"155":316,"156":319,"157":320,"158":325,"159":331,"160":332,"161":336,"162":337,"163":340,"164":341,"165":342,"166":344,"167":346,"168":347,"169":349,"170":351,"171":352,"172":353,"173":354,"174":355,"175":356,"176":358,"177":360,"178":361,"179":362,"180":363,"181":365,"182":368,"183":369,"184":370,"185":371,"186":381,"187":383,"188":384,"189":385,"190":386,"191":389,"192":390,"193":391,"194":393,"195":395,"196":396,"197":397,"198":402,"199":403,"200":406,"201":409,"202":411,"203":412,"204":413,"205":416,"206":417,"207":420,"208":422,"209":423,"210":424,"211":425,"212":426,"213":427,"214":428,"215":430,"216":431,"217":433,"218":434,"219":436,"220":437,"221":438,"222":439,"223":440,"224":441,"225":443,"226":445,"227":446,"228":447,"229":448,"230":449,"231":451,"232":467,"233":468,"234":470,"235":474,"236":476,"237":477,"238":478,"239":481,"240":482,"241":489,"242":491,"243":494,"244":496,"245":498,"246":499,"247":500,"248":501,"249":502,"250":503,"251":504,"252":505,"253":506,"254":508,"255":509,"256":512,"257":513,"258":514,"259":515,"260":516,"261":517,"262":527,"263":537,"264":541,"265":542,"266":543,"267":544,"268":547,"269":555,"270":556,"271":562,"272":563,"273":565,"274":567,"275":569,"276":570,"277":571,"278":584,"279":586,"280":591,"281":595,"282":604,"283":605,"284":606,"285":607,"286":608,"287":609,"288":610,"289":611,"290":612,"291":613,"292":614,"293":615,"294":616,"295":617,"296":618,"297":619,"298":620,"299":628,"300":629,"301":630,"302":631,"303":633,"304":634,"305":635,"306":636,"307":637,"308":652,"309":657,"310":661,"311":662,"312":671,"313":679,"314":690,"315":691,"316":693,"317":694,"318":697,"319":698,"320":699,"321":700,"322":701,"323":702,"324":712,"325":713,"326":730,"327":731,"328":732,"329":733,"330":734,"331":735,"332":736,"333":737,"334":738,"335":739,"336":740,"337":741,"338":742,"339":743,"340":744,"341":745,"342":753,"343":754,"344":755,"345":756,"346":757,"347":758,"348":759,"349":775,"350":788,"351":795,"352":804,"353":805,"354":806,"355":807,"356":809,"357":810,"358":811,"359":812,"360":813,"361":814,"362":815,"363":816,"364":817,"365":818,"366":819,"367":820,"368":821,"369":823,"370":825,"371":834,"372":835,"373":838,"374":839,"375":845,"376":846,"377":849,"378":850,"379":854,"380":855,"381":860,"382":862,"383":863,"384":865,"385":868,"386":870,"387":873,"388":874,"389":875,"390":877,"391":878,"392":879,"393":881,"394":882,"395":883,"396":893,"397":895,"398":903,"399":904,"400":905,"401":909,"402":912,"403":913,"404":915,"405":916,"406":917,"407":921,"410":924,"443":970,"444":971,"445":972,"446":973,"447":974,"448":975,"449":976,"450":979,"451":980,"452":981,"453":982,"454":983,"455":984,"456":987,"457":989,"458":990,"459":992,"460":993,"461":1002,"462":1003,"463":1004,"464":1006,"465":1007,"466":1008,"467":1009,"468":1010,"469":1011,"470":1019,"471":1020,"472":1023},{"0":5,"1":12,"2":18,"3":21,"4":27,"5":28,"6":29,"7":31,"8":34,"9":35,"10":36,"11":37,"12":46,"13":54,"14":56,"15":61,"16":63,"17":64,"18":65,"19":67,"20":69,"21":70,"22":75,"23":78,"24":79,"25":83,"26":88,"27":91,"28":93,"29":98,"30":99,"31":100,"32":102,"33":103,"34":105,"35":111,"36":112,"37":114,"38":123,"39":124,"40":131,"41":133,"42":136,"43":137,"44":138,"45":142,"63":198,"64":203,"65":208,"66":210,"67":211,"68":212,"69":217,"70":220,"71":222,"72":225,"73":227,"74":229,"75":231,"76":232,"77":236,"78":247,"79":253,"80":255,"81":261,"82":265,"83":284,"84":286,"85":288,"86":296,"87":299,"88":302,"89":305,"90":309,"91":311,"92":313,"93":318,"94":322,"95":323,"96":324,"97":327,"98":333,"99":334,"100":338,"101":339,"102":343,"103":345,"104":348,"105":350,"106":357,"107":359,"108":364,"109":366,"110":367,"111":373,"112":376,"113":379,"114":380,"115":388,"116":392,"117":394,"118":398,"119":399,"120":400,"121":405,"122":414,"123":415,"124":418,"125":429,"126":432,"127":442,"128":444,"129":450,"130":452,"131":453,"132":455,"133":456,"134":457,"135":458,"136":461,"137":462,"138":463,"139":469,"140":471,"141":475,"142":483,"143":484,"144":485,"145":486,"146":487,"147":488,"148":492,"149":493,"150":495,"151":497,"152":507,"153":510,"154":511,"155":518,"156":525,"157":526,"158":530,"159":531,"160":535,"161":536,"162":540,"163":546,"164":550,"165":552,"166":557,"167":558,"168":559,"169":560,"170":564,"171":566,"172":568,"173":572,"174":576,"175":582,"176":583,"177":585,"178":587,"179":594,"180":596,"181":598,"182":599,"183":600,"184":602,"185":603,"186":621,"187":622,"188":623,"189":624,"190":625,"191":626,"192":627,"193":632,"194":638,"195":643,"196":644,"197":646,"198":654,"199":664,"200":665,"201":667,"202":670,"203":673,"204":681,"205":683,"206":684,"207":689,"208":695,"209":704,"210":705,"211":707,"212":711,"213":716,"214":717,"215":719,"216":720,"217":724,"218":726,"219":746,"220":748,"221":749,"222":760,"223":761,"224":765,"225":766,"226":768,"227":773,"228":776,"229":780,"230":790,"231":796,"232":798,"233":800,"234":808,"235":822,"236":824,"237":826,"238":827,"239":830,"240":831,"241":833,"242":836,"243":837,"244":840,"245":851,"246":858,"247":861,"248":864,"249":866,"250":867,"251":869,"252":871,"253":872,"254":876,"255":884,"256":886,"257":887,"258":889,"259":890,"260":891,"261":894,"262":897,"263":898,"264":899,"265":902,"266":906,"267":910,"268":914,"269":918,"270":919,"283":978,"284":985,"285":986,"286":988,"287":995,"288":996,"289":997,"290":1013,"291":1015,"292":1018,"293":1021},{"0":4,"1":30,"2":33,"3":41,"4":44,"5":48,"6":51,"7":68,"8":71,"9":73,"10":74,"11":84,"12":89,"13":104,"14":108,"15":109,"16":116,"17":117,"18":120,"19":122,"20":141,"21":143,"28":205,"29":223,"30":224,"31":228,"32":235,"33":237,"34":240,"35":241,"36":242,"37":243,"38":246,"39":250,"40":254,"41":257,"42":258,"43":260,"44":273,"45":295,"46":298,"47":300,"48":303,"49":310,"50":315,"51":317,"52":326,"53":328,"54":329,"55":330,"56":335,"57":372,"58":374,"59":375,"60":377,"61":378,"62":404,"63":408,"64":435,"65":454,"66":459,"67":460,"68":464,"69":465,"70":466,"71":472,"72":473,"73":479,"74":480,"75":490,"76":519,"77":520,"78":523,"79":524,"80":528,"81":534,"82":545,"83":551,"84":554,"85":574,"86":577,"87":579,"88":580,"89":581,"90":588,"91":589,"92":592,"93":593,"94":597,"95":601,"96":639,"97":640,"98":642,"99":645,"100":668,"101":677,"102":692,"103":696,"104":703,"105":706,"106":708,"107":709,"108":714,"109":715,"110":718,"111":721,"112":722,"113":728,"114":747,"115":750,"116":751,"117":752,"118":763,"119":764,"120":772,"121":777,"122":791,"123":794,"124":803,"125":828,"126":829,"127":832,"128":844,"129":847,"130":853,"131":856,"132":880,"133":885,"134":896,"135":900,"136":907,"137":920,"139":977,"140":991,"141":994,"142":999,"143":1000,"144":1005,"145":1012},[2,11,32,39,40,66,106,135,226,230,248,252,297,301,321,382,387,401,407,419,521,522,553,561,573,575,578,590,641,710,723,725,727,762,778,843,848,852,857,859,888,892,911,1014,1017],[107,410,421,529,532,538,548,649,660,675,729,841,842,901,908,1001],[533,539,549,647,651,655,666,669,672,685,688,774,779,784,799,998,1016,1022],[648,650,653,656,659,663,674,676,678,687,770,771,781,783,792,793,801,802],[658,680,682,686,767,769,785,786,787],[782,789,797],[187,188]]