[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":11,"10":12,"11":13,"12":14,"14":16,"15":17,"16":18,"17":19,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":32,"29":33,"30":34,"31":36,"32":37,"33":38,"34":40,"35":41,"36":43,"37":44,"38":45,"39":46,"40":48,"41":49,"42":50,"43":51,"44":52,"45":53,"46":54,"48":56,"49":57,"50":58,"51":60,"52":62,"53":63,"54":65,"55":68,"56":69,"57":70,"58":71,"60":73,"61":74,"62":75,"63":76,"64":79,"65":80,"66":82,"67":83,"68":84,"69":85,"70":86,"71":87,"72":88,"73":89,"74":90,"75":91,"76":92,"78":94,"80":96,"81":98,"82":99,"83":100,"85":103,"86":105,"87":106,"88":107,"89":108,"90":109,"93":114,"95":116,"96":117,"97":118,"98":119,"99":120,"100":121,"101":122,"102":124,"103":125,"104":126,"105":127,"106":128,"107":129,"108":130,"110":132,"111":133,"112":134,"113":135,"114":136,"115":137,"117":139,"120":142,"121":143,"122":144,"123":145,"124":146,"126":148,"127":149,"128":150,"129":151,"130":153,"131":154,"132":155,"133":156,"134":157,"135":158,"136":159,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":168,"144":170,"145":171,"146":172,"147":173,"148":174,"149":175,"150":176,"151":178,"152":179,"153":180,"154":181,"155":182,"156":183,"158":186,"159":187,"160":190,"161":191,"162":192,"163":193,"164":194,"165":195,"166":196,"167":197,"168":199,"169":201,"170":202,"171":203,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":210,"179":211,"180":212,"181":213,"182":214,"183":215,"184":216,"185":217,"186":218,"187":220,"188":221,"189":222,"190":223,"191":224,"192":226,"193":227,"194":229,"195":230,"196":231,"197":232,"198":233,"199":234,"200":235,"201":236,"202":237,"203":238,"204":239,"205":240,"206":241,"207":242,"208":243,"209":244,"210":256,"211":257,"212":258,"213":259,"214":260,"215":261,"216":263,"217":264,"218":265,"220":267,"221":269,"222":270,"223":271,"225":273,"227":275,"228":276,"231":279,"232":280,"233":281,"234":282,"235":283,"236":284,"237":287,"238":288,"239":289,"240":290,"241":291,"242":293,"243":294,"244":295,"245":297,"246":298,"247":299,"248":300,"250":302,"251":304,"252":306,"253":307,"254":308,"255":309,"256":310,"258":312,"259":313,"260":314,"261":316,"262":317,"263":318,"264":319,"265":320,"266":321,"267":322,"268":323,"269":327,"270":328,"271":329,"272":331,"273":332,"274":333,"275":334,"276":335,"277":336,"278":337,"279":338,"280":339,"281":340,"282":342,"283":343,"284":344,"285":345,"286":346,"287":347,"288":348,"289":350,"290":351,"291":352,"292":353,"293":354,"295":358,"296":359,"297":360,"298":361,"300":364,"302":366,"303":367,"304":368,"305":369,"306":370,"307":371,"308":372,"309":374,"310":375,"311":377,"312":379,"313":380,"314":381,"315":382,"316":383,"317":384,"318":385,"319":386,"320":387,"321":388,"322":389,"323":390,"324":392,"325":394,"326":395,"327":396,"329":398,"330":400,"331":401,"333":403,"334":404,"335":405,"336":406,"337":407,"338":410,"339":412,"340":413,"341":416,"342":417,"343":418,"344":420,"345":421,"346":422,"347":423,"348":424,"349":426,"350":428,"351":429,"352":431,"353":432,"354":433,"355":434,"356":435,"357":437,"358":438,"359":439,"360":440,"361":441,"362":442,"363":443,"364":444,"365":445,"366":446,"367":447,"368":448,"369":452,"370":453,"371":454,"372":455,"373":458,"374":459,"375":460,"377":462,"378":464,"379":466,"380":468,"381":469,"382":470,"383":471,"384":473,"385":474,"386":475,"387":477,"388":478,"389":479,"390":480,"391":481,"392":484,"393":485,"394":486,"395":487,"396":488,"397":489,"398":490,"399":491,"400":492,"401":493,"402":494,"403":495,"404":496,"405":497,"406":499,"407":500,"408":501,"409":515,"410":521,"411":527,"412":538,"413":542,"414":543,"415":546,"416":548,"417":557,"418":558,"419":559,"420":562,"421":570,"422":590,"423":594,"424":599,"425":600,"426":606,"427":607,"428":610,"429":615,"430":617,"431":620,"432":621,"433":624,"434":627,"435":628,"436":634,"437":635,"438":654,"439":655,"440":656,"441":658,"442":663,"443":665,"444":670,"445":678,"446":684,"447":685,"448":687,"449":690,"450":696,"451":702,"452":708,"453":709,"454":711,"455":713,"456":720,"457":735,"458":739,"459":743,"460":746,"461":751,"462":759,"463":763,"464":770,"465":775,"466":781,"467":791,"468":793,"469":795,"470":797,"471":808,"472":813,"473":818,"474":829,"475":832,"476":839,"477":847,"478":853,"479":858,"480":859,"481":860,"482":865,"483":866,"484":881,"485":882,"486":883,"487":889,"488":892,"489":893,"490":894,"491":903,"492":904,"493":907,"494":913,"495":914,"496":917,"497":918,"498":924,"499":929,"500":932,"501":933,"502":938,"503":939,"504":941,"505":947,"506":952,"507":955,"508":957,"509":959,"510":960,"511":967,"512":977,"513":986,"514":1000,"515":1004,"516":1007,"517":1008,"518":1015,"519":1016,"520":1017,"521":1023},{"0":3,"1":10,"2":20,"3":31,"4":39,"5":42,"6":47,"7":59,"8":61,"9":64,"10":66,"11":67,"12":77,"13":78,"14":81,"15":97,"16":102,"17":104,"18":111,"19":113,"20":123,"21":152,"22":160,"23":167,"24":169,"25":177,"26":185,"27":188,"28":189,"29":198,"30":200,"31":219,"32":225,"33":228,"34":245,"35":246,"36":247,"37":248,"38":249,"39":251,"40":253,"41":254,"42":255,"43":262,"44":285,"45":286,"46":292,"47":296,"48":303,"49":324,"50":325,"51":326,"52":330,"53":341,"54":349,"55":356,"56":357,"57":362,"58":373,"59":376,"60":378,"61":391,"62":393,"63":408,"64":409,"65":411,"66":414,"67":415,"68":425,"69":427,"70":430,"71":436,"72":449,"73":450,"74":451,"75":456,"76":457,"77":463,"78":467,"79":472,"80":476,"81":482,"82":483,"83":498,"84":502,"85":503,"86":505,"87":506,"88":507,"89":510,"90":511,"91":516,"92":517,"93":519,"94":523,"95":528,"96":530,"97":531,"98":532,"99":533,"100":534,"101":537,"102":541,"103":545,"104":551,"105":556,"106":561,"107":563,"108":565,"109":568,"110":569,"111":573,"112":574,"113":577,"114":581,"115":583,"116":589,"117":595,"118":596,"119":602,"120":603,"121":609,"122":611,"123":616,"124":632,"125":636,"126":637,"127":638,"128":642,"129":643,"130":646,"131":664,"132":666,"133":673,"134":676,"135":683,"136":689,"137":691,"138":692,"139":693,"140":694,"141":698,"142":706,"143":710,"144":715,"145":716,"146":717,"147":725,"148":726,"149":730,"150":732,"151":734,"152":737,"153":740,"154":741,"155":744,"156":747,"157":749,"158":754,"159":758,"160":760,"161":771,"162":778,"164":782,"165":787,"166":794,"167":796,"168":801,"169":805,"170":806,"171":811,"172":812,"173":815,"174":817,"175":820,"176":822,"177":823,"178":824,"179":825,"180":830,"181":836,"182":837,"183":845,"184":848,"185":850,"186":854,"187":868,"188":869,"189":886,"190":887,"191":890,"192":898,"193":900,"194":901,"195":905,"196":906,"197":908,"198":910,"199":912,"200":915,"201":920,"202":922,"203":923,"204":926,"205":927,"206":934,"207":935,"208":936,"209":940,"210":950,"211":956,"212":958,"213":961,"214":962,"215":973,"216":976,"217":978,"218":982,"219":983,"220":994,"221":995,"222":996,"223":998,"224":1002,"225":1012,"226":1018,"227":1020,"228":1021},{"0":35,"1":252,"2":268,"3":305,"4":315,"5":399,"6":419,"7":465,"8":504,"9":508,"10":513,"11":522,"12":524,"13":525,"14":539,"15":547,"16":550,"17":553,"18":560,"19":564,"20":571,"21":572,"22":575,"23":576,"24":578,"25":582,"26":585,"27":586,"28":588,"29":591,"30":608,"31":612,"32":618,"33":619,"34":633,"35":640,"36":641,"37":644,"38":648,"39":649,"40":651,"41":652,"42":653,"43":660,"44":661,"45":662,"46":672,"47":688,"48":695,"49":699,"50":701,"51":703,"52":704,"53":712,"54":714,"55":728,"56":731,"57":736,"58":748,"59":753,"60":755,"61":762,"62":769,"63":773,"64":776,"65":780,"66":785,"67":786,"68":788,"69":790,"70":792,"71":799,"72":819,"73":826,"74":833,"75":835,"76":838,"77":840,"78":843,"79":844,"80":846,"81":862,"82":870,"83":872,"84":875,"86":885,"87":888,"88":895,"89":897,"90":899,"92":931,"93":951,"94":953,"95":966,"96":969,"97":974,"98":989,"99":990,"100":1005,"101":1006,"102":1011,"103":1022},{"0":250,"1":509,"2":512,"3":529,"4":536,"5":552,"6":566,"7":597,"8":604,"9":605,"10":639,"11":650,"13":669,"14":674,"15":675,"16":679,"17":682,"19":697,"20":705,"21":722,"22":750,"23":752,"24":757,"25":761,"27":766,"28":774,"29":803,"30":810,"31":827,"32":828,"33":831,"34":856,"35":867,"36":873,"37":874,"38":891,"39":909,"40":911,"41":930,"42":943,"43":964,"44":971,"45":981,"46":988,"47":991,"48":993,"49":1001,"50":1009,"51":1010,"52":1013,"53":1014},{"1":518,"2":544,"3":584,"4":601,"5":614,"6":622,"7":625,"8":629,"9":680,"10":718,"11":719,"12":729,"13":756,"14":768,"15":777,"16":789,"17":816,"18":821,"19":834,"20":849,"21":852,"22":861,"23":863,"24":864,"25":877,"26":880,"27":937,"29":968,"30":972,"31":975,"33":985,"34":992,"35":997},{"0":520,"1":540,"2":555,"3":567,"4":592,"5":598,"6":631,"7":645,"9":667,"10":677,"11":727,"12":738,"13":742,"14":767,"15":802,"16":804,"17":814,"18":841,"20":855,"22":878,"23":946,"24":954},{"0":526,"1":549,"2":647,"3":657,"4":724,"5":733,"6":772,"9":809,"10":902,"11":925,"12":928,"13":948,"14":965,"15":980,"16":984,"17":1019},{"0":535,"1":580,"4":800,"5":807,"6":842,"7":919},{"1":681,"4":857,"5":896,"7":944,"9":987},{"1":613,"3":630,"4":876,"5":970},{"2":949},[],[]]