[{"0":0,"1":2,"2":4,"3":5,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":18,"14":19,"15":20,"16":21,"17":23,"18":27,"19":28,"20":29,"21":30,"22":31,"23":32,"24":33,"25":34,"26":35,"27":36,"28":37,"29":38,"30":39,"31":40,"32":41,"33":42,"34":43,"35":44,"36":45,"37":46,"38":50,"39":51,"40":52,"41":53,"42":57,"43":58,"44":61,"45":62,"46":63,"47":64,"48":65,"49":66,"50":67,"51":68,"52":69,"53":70,"54":71,"55":72,"56":73,"57":74,"58":77,"59":78,"60":79,"61":80,"62":81,"63":83,"64":84,"65":85,"66":86,"67":87,"68":88,"69":89,"70":90,"71":91,"72":92,"73":94,"74":95,"75":96,"76":97,"77":98,"78":99,"79":100,"80":101,"81":103,"82":105,"83":107,"84":108,"85":110,"86":111,"87":112,"88":113,"89":114,"90":116,"91":117,"92":119,"93":120,"94":121,"95":122,"96":123,"97":124,"98":126,"99":128,"100":129,"101":130,"102":131,"103":132,"104":133,"105":135,"106":136,"107":137,"108":139,"109":140,"110":142,"111":143,"112":145,"113":146,"114":147,"115":148,"116":149,"117":150,"118":152,"119":153,"120":154,"121":155,"122":156,"123":157,"124":158,"125":159,"126":160,"127":161,"128":162,"129":163,"130":164,"131":165,"132":166,"133":167,"134":168,"135":169,"136":170,"137":171,"138":172,"139":173,"140":174,"141":175,"142":176,"143":177,"144":178,"145":180,"146":182,"147":183,"148":184,"149":185,"150":187,"151":189,"152":190,"153":191,"154":192,"156":257,"157":258,"158":259,"159":260,"160":261,"161":262,"162":263,"163":264,"164":265,"165":266,"166":267,"167":268,"168":269,"169":270,"170":271,"171":272,"172":273,"173":275,"174":276,"175":277,"176":278,"177":279,"178":280,"179":281,"180":282,"181":284,"182":285,"183":286,"184":288,"185":289,"186":290,"187":292,"188":293,"189":294,"190":295,"191":296,"192":297,"193":298,"194":299,"195":303,"196":304,"197":305,"198":306,"199":307,"200":308,"201":309,"202":310,"203":311,"204":312,"205":314,"206":315,"207":316,"208":318,"209":319,"210":320,"211":321,"212":323,"213":324,"215":327,"216":329,"217":330,"218":331,"219":333,"220":334,"221":335,"222":336,"223":337,"224":338,"225":339,"226":340,"227":341,"228":342,"229":343,"230":344,"231":345,"232":346,"233":347,"234":348,"235":349,"236":350,"237":352,"238":353,"239":354,"240":355,"241":357,"242":358,"243":360,"244":361,"245":362,"246":364,"247":365,"248":367,"249":368,"250":369,"251":370,"252":371,"253":372,"254":373,"255":375,"256":376,"257":377,"258":378,"259":379,"260":381,"261":382,"262":383,"263":384,"264":385,"265":386,"266":387,"267":388,"268":389,"269":390,"270":391,"271":392,"272":393,"273":394,"274":395,"275":396,"276":397,"277":398,"278":399,"279":400,"280":401,"281":402,"282":403,"283":405,"284":406,"285":407,"286":409,"287":410,"288":411,"289":412,"290":414,"291":415,"292":417,"293":418,"294":419,"295":422,"296":424,"297":425,"298":426,"299":427,"300":428,"301":429,"302":430,"303":431,"304":432,"305":433,"306":438,"307":440,"308":441,"309":443,"310":445,"311":446,"312":447,"313":526,"314":531,"315":536,"316":546,"317":547,"318":552,"319":554,"320":558,"321":568,"322":571,"323":574,"324":584,"325":585,"326":590,"327":591,"328":595,"329":597,"330":601,"331":610,"332":611,"333":620,"334":623,"335":624,"336":625,"337":626,"338":627,"339":638,"340":650,"341":658,"342":661,"343":673,"344":676,"345":684,"346":685,"347":687,"348":689,"349":691,"350":693,"351":694,"352":703,"353":704,"354":706,"355":707,"356":708,"357":710,"358":718,"359":721,"360":722,"361":725,"362":727,"363":728,"364":745,"365":749,"366":753,"367":754,"368":762,"369":764,"370":766,"371":769,"372":770,"373":777,"374":778,"375":782,"376":783,"377":787,"378":792,"379":793,"380":795,"381":801,"382":802,"383":805,"384":806,"385":808,"386":814,"387":816,"388":817,"389":820,"390":827,"391":828,"392":831,"393":839,"394":842,"395":843,"396":845,"397":848,"398":854,"399":857,"400":859,"401":862,"402":863,"403":865,"404":867,"405":876,"406":878,"407":880,"408":885,"409":886,"410":889,"411":891,"412":894,"413":896,"414":897,"415":898,"416":900,"417":901,"418":902,"419":907,"420":915,"421":916,"422":917,"423":923,"424":924,"425":925,"426":927,"427":931,"428":933,"429":939,"430":940,"431":945,"432":949,"433":955,"434":956,"435":957,"436":958,"437":959,"438":960,"439":966,"440":971,"441":973,"442":976,"443":983,"444":986,"445":987,"446":990,"447":996,"448":1001,"449":1004,"450":1005,"451":1008,"452":1010,"453":1015},{"0":1,"1":3,"2":15,"3":16,"4":17,"5":22,"6":24,"7":26,"8":47,"9":48,"10":49,"11":54,"12":55,"13":59,"14":60,"15":75,"16":76,"17":82,"18":93,"19":102,"20":104,"21":106,"22":109,"23":118,"24":125,"25":127,"26":138,"27":141,"28":144,"29":151,"30":179,"31":181,"32":186,"33":188,"34":193,"35":194,"36":195,"37":196,"38":197,"39":199,"40":200,"41":202,"42":204,"43":205,"44":206,"45":207,"46":209,"47":211,"48":214,"49":215,"50":216,"51":218,"52":219,"53":221,"54":223,"55":224,"56":228,"57":230,"58":231,"59":232,"60":233,"61":234,"62":235,"63":236,"64":237,"65":238,"66":240,"67":241,"68":243,"69":244,"70":245,"71":246,"72":247,"73":250,"74":251,"75":253,"76":255,"77":274,"78":283,"79":287,"80":291,"81":300,"82":301,"83":302,"84":313,"85":322,"86":326,"87":328,"88":332,"89":351,"90":356,"91":359,"92":363,"93":366,"94":374,"95":380,"96":404,"97":408,"98":413,"99":416,"100":420,"101":421,"102":423,"103":435,"104":436,"105":437,"106":439,"107":442,"108":444,"109":448,"110":449,"111":450,"112":451,"113":454,"114":455,"115":456,"116":457,"117":458,"118":459,"119":460,"120":461,"121":462,"122":464,"123":465,"124":466,"125":467,"126":468,"127":472,"128":473,"129":475,"130":476,"132":478,"133":479,"134":480,"135":481,"136":484,"137":486,"138":487,"139":488,"140":489,"141":490,"142":491,"143":493,"144":494,"145":495,"146":496,"147":497,"148":498,"149":500,"150":501,"151":502,"152":503,"153":505,"154":507,"155":508,"156":510,"157":512,"158":515,"159":519,"160":520,"161":525,"162":528,"163":529,"164":537,"165":543,"166":544,"167":545,"168":550,"169":551,"170":555,"171":556,"172":559,"173":560,"174":562,"175":565,"176":566,"177":570,"178":572,"179":573,"180":575,"181":576,"182":577,"183":580,"184":581,"185":583,"186":587,"187":588,"188":596,"189":598,"190":599,"191":600,"192":602,"193":614,"194":622,"195":628,"196":629,"197":631,"198":634,"199":635,"200":636,"201":642,"202":643,"203":646,"204":652,"205":655,"206":656,"207":660,"208":669,"209":670,"210":672,"211":674,"212":686,"213":690,"214":692,"215":697,"216":702,"217":711,"218":712,"219":713,"220":715,"221":723,"222":730,"223":732,"224":735,"225":737,"226":740,"227":743,"228":744,"229":752,"230":757,"231":758,"232":759,"233":760,"234":765,"235":767,"236":774,"237":775,"238":788,"239":790,"240":794,"241":796,"242":797,"243":811,"244":818,"245":821,"246":822,"247":823,"248":825,"249":826,"250":830,"251":832,"252":835,"253":840,"254":846,"255":852,"256":856,"257":858,"258":861,"259":866,"260":868,"261":869,"262":870,"263":872,"264":873,"265":879,"266":882,"267":884,"268":887,"269":888,"270":892,"271":899,"272":903,"273":905,"274":909,"275":912,"276":920,"277":928,"278":929,"279":935,"280":937,"281":941,"282":947,"283":950,"284":951,"285":961,"286":963,"287":964,"288":967,"289":968,"290":972,"291":974,"292":978,"293":979,"294":982,"295":991,"296":994,"297":995,"298":1000,"299":1002,"300":1006,"301":1009,"302":1011,"303":1013,"304":1014,"305":1016,"306":1017,"307":1018,"308":1020,"309":1021},{"0":25,"1":56,"2":115,"3":134,"4":198,"5":201,"6":208,"7":210,"8":212,"9":213,"10":217,"11":220,"12":225,"13":226,"14":227,"15":229,"16":239,"17":242,"18":248,"19":252,"20":254,"21":317,"22":434,"23":452,"24":453,"25":463,"26":469,"27":470,"28":474,"29":482,"30":483,"31":485,"32":492,"33":499,"34":504,"35":506,"36":509,"37":511,"38":518,"39":521,"40":532,"41":539,"42":540,"43":541,"44":548,"45":549,"46":561,"47":564,"48":567,"49":578,"50":586,"51":592,"52":603,"53":605,"54":613,"55":615,"56":632,"57":637,"58":639,"59":640,"60":641,"61":644,"63":648,"64":651,"65":654,"66":664,"67":665,"68":666,"69":667,"70":668,"71":678,"72":680,"73":682,"74":688,"75":698,"76":701,"77":705,"78":709,"79":714,"80":716,"81":717,"82":719,"83":731,"84":736,"85":738,"86":741,"87":746,"88":750,"89":751,"90":761,"91":763,"92":768,"93":772,"94":779,"95":791,"96":798,"97":799,"98":807,"99":813,"100":819,"101":837,"102":844,"103":847,"104":849,"105":850,"106":851,"107":853,"108":855,"109":864,"110":875,"111":893,"112":895,"113":904,"114":908,"115":922,"116":932,"117":936,"118":942,"119":944,"120":946,"121":975,"122":980,"123":984,"124":992,"125":997,"126":998,"127":1007,"128":1012,"129":1022},{"0":203,"1":222,"2":249,"3":471,"4":514,"5":523,"6":524,"7":533,"8":534,"9":557,"10":589,"11":594,"12":606,"13":607,"14":609,"15":617,"16":619,"17":633,"18":653,"19":657,"20":671,"21":675,"23":681,"24":700,"25":720,"26":726,"27":733,"28":742,"29":747,"30":780,"31":789,"32":800,"33":804,"34":824,"35":829,"36":838,"37":841,"38":860,"39":874,"40":877,"41":881,"42":890,"43":906,"44":911,"45":914,"46":919,"47":930,"48":934,"49":948,"50":952,"51":962,"52":965,"53":977,"54":985,"55":999},{"0":513,"1":522,"2":527,"3":530,"4":535,"5":538,"6":542,"7":563,"8":569,"9":582,"10":593,"11":604,"12":618,"13":649,"14":663,"15":683,"16":729,"17":734,"18":756,"19":771,"20":776,"21":785,"22":786,"23":810,"24":812,"25":871,"26":921,"27":926,"28":943,"29":953,"31":969,"32":1019,"33":1023},{"0":516,"1":517,"2":553,"3":608,"4":616,"5":621,"6":659,"7":662,"8":679,"9":695,"10":696,"11":699,"12":724,"14":803,"15":910,"16":913,"17":938,"18":970},{"0":579,"1":630,"3":755,"4":773,"6":784,"7":809,"8":833,"9":834,"10":836,"11":918,"13":988,"14":993},[647],{"1":883},[]]