[{"0":0,"1":1,"2":3,"4":6,"5":7,"6":8,"7":10,"8":11,"10":13,"11":14,"12":15,"13":17,"14":18,"15":19,"17":21,"18":23,"23":28,"24":29,"25":30,"26":31,"27":32,"28":34,"31":38,"32":40,"33":41,"35":44,"36":45,"37":46,"38":47,"39":48,"40":51,"41":52,"42":53,"43":54,"45":57,"46":58,"47":59,"48":60,"49":61,"50":62,"51":63,"53":67,"55":69,"56":70,"57":71,"58":72,"59":73,"60":75,"61":76,"62":77,"63":78,"64":79,"65":81,"66":83,"68":85,"70":87,"72":90,"73":91,"74":92,"76":95,"77":96,"80":99,"81":101,"82":103,"83":104,"84":105,"85":106,"87":108,"88":109,"89":110,"90":111,"91":112,"93":115,"94":116,"96":118,"97":119,"98":120,"99":121,"100":122,"101":123,"102":124,"103":125,"104":126,"106":129,"108":131,"109":132,"110":133,"111":134,"112":135,"113":136,"114":137,"115":138,"117":140,"118":141,"120":143,"121":144,"122":145,"123":146,"125":148,"129":153,"130":154,"132":157,"133":158,"134":159,"135":160,"137":162,"139":164,"140":165,"141":166,"142":167,"143":168,"144":169,"145":174,"148":178,"150":180,"151":181,"153":183,"154":184,"155":185,"157":187,"159":189,"161":191,"163":194,"164":195,"168":200,"169":201,"170":202,"171":203,"177":209,"179":211,"181":213,"182":214,"184":216,"185":217,"186":218,"188":220,"189":222,"190":223,"191":224,"192":225,"193":226,"195":228,"196":229,"199":232,"201":234,"202":235,"203":236,"204":237,"205":238,"207":240,"209":242,"210":243,"211":244,"213":246,"214":247,"216":250,"217":251,"218":252,"219":253,"221":258,"223":260,"224":261,"225":262,"226":263,"227":264,"228":265,"229":266,"230":267,"231":268,"232":269,"233":271,"234":272,"235":273,"236":274,"237":276,"238":277,"239":278,"240":279,"242":283,"243":284,"245":287,"248":292,"252":297,"253":299,"254":300,"256":302,"258":304,"259":305,"261":307,"262":308,"263":309,"264":310,"265":311,"267":313,"269":316,"270":317,"271":318,"272":319,"274":321,"275":322,"276":323,"277":324,"278":325,"280":327,"282":329,"283":330,"285":333,"286":334,"287":335,"288":336,"289":337,"291":340,"293":342,"295":345,"296":346,"297":347,"299":349,"300":350,"301":351,"302":352,"303":353,"305":355,"306":356,"307":357,"308":358,"310":361,"312":363,"313":364,"314":365,"315":366,"316":367,"318":369,"319":370,"320":371,"322":373,"323":374,"325":376,"327":379,"328":380,"329":383,"332":386,"335":391,"336":392,"337":393,"338":394,"340":396,"341":397,"342":398,"343":399,"344":401,"345":402,"347":404,"348":405,"349":406,"350":407,"351":408,"352":409,"353":410,"355":412,"356":413,"357":414,"359":416,"361":418,"362":419,"363":420,"364":421,"365":422,"366":426,"367":427,"369":429,"370":430,"371":431,"373":433,"374":434,"376":436,"377":437,"378":438,"379":439,"381":443,"382":444,"383":445,"384":446,"385":447,"388":450,"389":451,"390":452,"391":453,"392":454,"393":455,"394":456,"396":458,"397":459,"399":461,"400":462,"401":463,"402":464,"403":465,"404":466,"405":467,"406":468,"409":471,"411":473,"412":474,"413":475,"414":476,"415":477,"419":481,"420":482,"421":484,"422":485,"423":486,"424":487,"425":488,"426":489,"427":490,"428":491,"429":492,"430":493,"432":495,"433":496,"435":498,"436":499,"437":500,"438":501,"439":502,"440":503,"441":504,"442":505,"443":506,"444":507,"445":508,"446":509,"447":510,"448":511,"451":532,"452":540,"453":543,"455":553,"456":558,"457":561,"458":570,"459":581,"461":599,"462":600,"463":603,"465":607,"468":629,"469":630,"470":640,"471":641,"472":642,"473":643,"474":650,"475":655,"476":659,"477":663,"480":672,"482":678,"483":683,"485":690,"486":695,"488":714,"489":725,"490":729,"491":737,"492":738,"493":740,"494":742,"496":759,"497":763,"498":769,"499":772,"500":776,"501":779,"502":781,"504":786,"505":790,"506":794,"507":795,"508":801,"510":807,"511":811,"512":814,"513":822,"515":827,"517":833,"518":861,"520":874,"521":875,"522":877,"525":885,"527":892,"528":900,"529":902,"530":903,"531":912,"532":921,"533":922,"534":926,"536":949,"537":974,"538":1012,"539":1017,"540":1019,"541":1022},{"0":2,"1":5,"2":9,"3":16,"4":22,"5":33,"6":37,"7":39,"8":42,"9":49,"11":65,"12":66,"13":74,"14":80,"15":82,"16":89,"17":100,"18":102,"20":127,"21":149,"22":155,"23":170,"24":171,"25":172,"26":177,"28":221,"29":249,"30":254,"31":255,"32":257,"34":275,"36":281,"37":285,"38":289,"40":298,"41":314,"43":338,"44":343,"45":360,"46":378,"47":381,"48":382,"49":387,"50":390,"51":400,"52":423,"53":424,"55":441,"56":442,"58":512,"59":534,"60":535,"61":537,"62":539,"64":551,"65":563,"66":566,"67":571,"68":574,"69":578,"71":584,"72":613,"73":617,"75":644,"76":648,"77":652,"78":656,"79":660,"80":664,"81":667,"82":682,"83":686,"85":691,"86":692,"87":694,"88":700,"89":701,"90":703,"91":706,"92":708,"93":711,"94":716,"95":717,"96":718,"98":736,"99":739,"100":754,"101":755,"102":756,"103":757,"104":760,"105":761,"106":765,"107":768,"108":777,"109":780,"110":782,"111":792,"112":797,"113":800,"114":804,"115":806,"117":818,"118":825,"120":832,"121":834,"122":839,"123":847,"125":871,"126":876,"127":879,"128":883,"129":886,"130":891,"131":895,"132":898,"133":901,"136":907,"138":913,"140":915,"141":920,"142":925,"143":934,"144":935,"145":936,"146":938,"147":939,"148":951,"149":956,"150":959,"151":963,"152":965,"153":966,"154":969,"155":972,"156":981,"157":982,"158":984,"159":986,"160":987,"161":988,"162":994,"163":1002,"164":1003,"165":1008,"166":1009,"168":1020,"169":1021},{"0":56,"1":94,"2":173,"3":196,"5":516,"6":517,"8":527,"9":529,"11":541,"12":545,"13":568,"14":575,"15":583,"16":586,"17":588,"18":589,"19":620,"20":623,"21":625,"23":628,"25":637,"26":668,"27":674,"28":687,"29":698,"30":705,"31":710,"32":719,"33":720,"34":722,"35":734,"37":753,"38":770,"39":775,"40":785,"41":816,"42":819,"44":836,"46":848,"47":869,"48":870,"49":890,"50":897,"51":916,"52":917,"53":924,"54":927,"56":961,"57":964,"58":970,"60":980,"61":992,"63":1015,"64":1016},{"0":520,"1":521,"4":569,"5":582,"6":585,"7":592,"8":598,"10":605,"11":622,"12":631,"13":633,"14":636,"16":646,"17":666,"19":681,"20":684,"21":699,"22":724,"23":731,"24":735,"25":745,"26":750,"28":766,"29":778,"31":793,"33":812,"34":823,"35":841,"36":854,"37":863,"38":865,"39":910,"40":919,"41":929,"42":930,"44":947,"45":958,"47":1013,"48":1014},{"0":514,"1":533,"2":536,"3":549,"5":562,"6":580,"7":590,"8":595,"10":610,"12":657,"13":676,"14":707,"15":741,"16":743,"17":748,"18":784,"19":789,"20":815,"21":843,"22":844,"23":853,"24":862,"25":884,"26":906,"27":928,"28":940,"29":942,"31":950,"32":957,"33":967,"34":991,"35":1005},{"0":548,"1":560,"3":597,"4":696,"5":723,"6":726,"7":773,"8":817,"9":850,"10":855,"11":859,"12":908,"13":932,"15":945,"16":985,"17":989,"18":1000,"19":1004},{"0":523,"1":526,"2":544,"3":591,"4":638,"6":654,"7":733,"8":771,"9":787,"10":809,"11":821,"12":835,"13":837,"14":852,"15":864,"16":866,"19":888,"20":893,"21":977,"22":995},{"0":515,"1":518,"2":564,"3":572,"4":576,"5":604,"6":615,"8":662,"9":665,"10":680,"12":702,"13":746,"14":796,"15":799,"16":857,"17":860,"18":911,"19":990,"21":1006},{"0":552,"1":596,"2":601,"3":608,"4":614,"5":658,"6":704,"7":744,"8":805,"10":813,"11":840,"12":849,"13":858,"18":1010},{"0":513,"1":538,"2":612,"3":669,"4":709,"5":728,"6":732,"9":774,"11":838,"12":873,"13":894,"14":896,"18":975},{"0":525,"1":565,"2":619,"3":634,"4":842,"5":845,"6":856,"8":868,"10":983,"11":993,"12":1007},{"0":557,"1":621,"2":632,"3":645,"4":653,"7":721,"8":791,"10":941,"11":948,"12":953,"13":955,"14":960},{"0":547,"3":727,"4":767,"5":831,"7":933,"8":952,"9":978},{"0":555,"1":577,"2":661,"4":713},{"4":673,"6":762},[],[]]