[{"0":0,"1":1,"3":4,"5":6,"6":7,"7":8,"8":9,"9":10,"11":12,"12":13,"13":14,"14":15,"17":20,"18":21,"19":22,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"27":31,"28":32,"29":33,"31":35,"32":36,"34":38,"36":40,"37":41,"38":42,"39":43,"40":45,"41":46,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"48":54,"50":56,"51":57,"52":58,"53":59,"54":60,"57":63,"58":64,"59":65,"60":66,"61":67,"62":69,"63":70,"64":72,"65":73,"67":75,"68":76,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"76":85,"77":86,"78":87,"79":88,"80":89,"81":90,"82":91,"83":93,"84":94,"85":95,"86":96,"87":97,"88":98,"89":99,"90":100,"92":102,"93":103,"94":104,"95":105,"96":106,"97":107,"98":108,"99":109,"100":110,"101":111,"102":112,"103":113,"104":114,"105":115,"106":116,"107":117,"108":118,"109":120,"110":121,"111":122,"113":124,"114":125,"115":126,"116":127,"117":128,"118":130,"119":131,"120":132,"121":133,"122":134,"123":135,"124":136,"125":137,"126":138,"127":139,"128":140,"129":141,"130":142,"132":144,"135":147,"138":151,"139":152,"140":153,"142":155,"143":156,"145":158,"146":159,"147":160,"148":161,"149":162,"150":164,"151":165,"152":166,"153":168,"154":169,"156":171,"157":172,"158":173,"160":175,"161":176,"162":177,"163":178,"166":181,"167":182,"168":183,"170":185,"171":187,"172":188,"173":189,"174":190,"175":191,"176":192,"177":193,"178":194,"182":198,"183":199,"184":200,"185":201,"186":203,"187":204,"188":205,"189":206,"192":209,"193":210,"194":211,"195":212,"196":213,"197":214,"198":215,"200":217,"201":218,"202":219,"203":220,"204":221,"205":222,"206":223,"207":224,"208":225,"209":226,"210":227,"211":228,"212":229,"213":230,"214":231,"215":232,"216":233,"217":235,"218":236,"219":237,"220":238,"221":239,"222":240,"223":241,"224":242,"226":244,"227":245,"228":246,"229":247,"230":248,"231":249,"232":250,"233":251,"234":252,"235":253,"236":254,"237":257,"239":259,"240":261,"242":263,"243":265,"244":266,"245":268,"246":269,"247":271,"248":272,"250":274,"251":275,"252":276,"253":277,"254":278,"257":282,"258":285,"260":287,"261":288,"262":289,"265":292,"266":294,"267":295,"268":297,"270":299,"271":301,"272":302,"275":305,"276":306,"278":308,"279":309,"280":310,"281":311,"284":314,"285":316,"286":317,"287":318,"290":321,"291":322,"292":323,"293":324,"294":325,"295":326,"296":327,"297":328,"298":329,"299":330,"300":331,"301":332,"302":333,"303":334,"305":336,"306":337,"307":338,"308":339,"309":340,"310":341,"311":342,"312":343,"313":344,"314":345,"316":347,"317":348,"318":349,"319":350,"320":351,"321":352,"322":353,"323":354,"324":355,"325":356,"326":357,"327":358,"328":359,"329":360,"330":361,"331":362,"332":363,"333":364,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"340":372,"341":373,"342":374,"343":375,"344":376,"347":379,"348":381,"349":382,"350":383,"351":384,"353":386,"354":387,"355":388,"356":389,"357":391,"358":392,"359":393,"360":394,"361":395,"364":399,"365":400,"366":401,"367":402,"369":404,"370":405,"371":406,"372":408,"373":409,"374":410,"375":411,"376":412,"377":413,"379":415,"380":416,"381":417,"382":418,"383":419,"385":421,"386":422,"387":424,"388":425,"389":427,"391":430,"392":431,"393":432,"394":433,"395":434,"396":435,"397":437,"398":440,"399":441,"401":443,"402":445,"405":451,"406":452,"408":454,"410":456,"411":457,"413":459,"414":460,"415":462,"416":463,"417":464,"418":465,"419":466,"420":467,"421":468,"423":470,"424":472,"425":474,"426":475,"427":476,"429":478,"430":479,"431":480,"433":482,"434":483,"436":485,"437":486,"438":487,"440":489,"441":490,"442":491,"443":494,"444":495,"445":496,"446":497,"447":498,"448":499,"449":500,"450":501,"451":503,"452":504,"453":505,"454":506,"455":507,"456":509,"457":510,"458":511,"459":517,"460":522,"461":530,"462":541,"463":556,"464":559,"465":565,"467":576,"468":580,"469":581,"470":589,"471":591,"472":598,"473":599,"474":602,"475":604,"476":618,"478":621,"479":629,"480":636,"481":648,"482":652,"483":662,"484":664,"485":667,"486":672,"487":674,"488":678,"489":679,"490":683,"491":687,"492":699,"493":700,"494":702,"495":703,"496":704,"497":706,"498":710,"499":716,"500":725,"501":726,"502":729,"503":740,"505":743,"506":744,"508":750,"509":759,"510":768,"511":774,"513":791,"514":793,"515":795,"516":802,"517":805,"518":820,"520":838,"521":840,"522":841,"523":851,"524":852,"525":853,"526":854,"527":858,"528":859,"529":877,"530":880,"532":890,"533":893,"534":897,"535":904,"536":918,"537":930,"538":937,"539":942,"540":949,"541":967,"542":968,"543":969,"544":986,"545":994,"546":1009,"547":1019,"548":1020},{"0":2,"1":17,"2":18,"3":23,"4":44,"5":47,"6":68,"7":71,"9":92,"11":129,"12":150,"13":163,"14":167,"17":234,"18":255,"19":256,"20":260,"21":267,"22":270,"23":279,"24":283,"25":284,"26":293,"27":296,"28":300,"29":371,"31":390,"32":396,"33":407,"34":423,"36":429,"38":438,"39":439,"40":446,"41":447,"43":461,"44":471,"45":473,"46":492,"47":493,"48":502,"49":508,"50":516,"51":518,"52":527,"53":528,"54":537,"55":538,"56":543,"57":547,"58":553,"59":554,"60":560,"61":563,"62":564,"63":567,"64":573,"65":577,"66":585,"67":586,"68":588,"69":593,"71":601,"72":603,"73":607,"74":609,"75":610,"76":611,"77":613,"78":616,"79":622,"80":623,"81":624,"82":641,"83":642,"84":643,"85":644,"87":653,"88":660,"89":663,"90":666,"91":676,"92":677,"93":680,"94":693,"95":695,"96":709,"97":713,"98":717,"99":720,"100":731,"101":742,"102":746,"103":747,"106":753,"107":754,"108":760,"109":767,"110":769,"111":770,"112":772,"113":773,"114":777,"115":779,"116":780,"117":784,"118":786,"119":787,"120":792,"121":811,"122":823,"123":831,"124":850,"125":861,"126":862,"127":865,"128":866,"129":869,"131":872,"132":874,"133":885,"134":895,"135":898,"136":907,"137":920,"138":925,"139":926,"140":928,"141":931,"142":934,"143":939,"144":953,"145":956,"146":958,"147":961,"148":963,"149":964,"150":972,"151":974,"152":977,"153":982,"154":992,"155":1001,"156":1002,"157":1008,"158":1010,"159":1012,"160":1015,"161":1021},{"0":264,"1":315,"2":444,"3":515,"4":531,"5":533,"6":534,"7":540,"8":544,"10":568,"11":582,"12":583,"13":605,"14":608,"15":612,"17":615,"18":619,"19":634,"20":635,"21":638,"22":665,"23":669,"24":681,"26":685,"27":696,"28":707,"29":711,"30":719,"31":724,"32":752,"33":766,"34":789,"35":794,"36":798,"37":803,"38":807,"39":809,"40":816,"41":821,"42":827,"43":833,"44":839,"45":847,"46":848,"47":849,"48":857,"49":879,"50":883,"51":889,"52":905,"53":908,"54":911,"55":915,"56":917,"57":927,"58":929,"59":932,"60":933,"61":943,"62":946,"63":954,"65":965,"66":975,"68":983,"69":985,"70":993,"71":1007,"72":1011,"73":1018},{"0":520,"1":521,"2":539,"3":546,"4":552,"5":557,"6":566,"8":590,"9":595,"10":596,"11":627,"12":668,"13":673,"14":691,"15":692,"16":705,"17":712,"18":733,"20":757,"21":771,"22":775,"23":785,"24":790,"25":810,"26":812,"27":813,"28":819,"29":830,"30":835,"31":843,"32":855,"33":864,"34":882,"35":887,"36":888,"37":900,"38":901,"40":935,"41":936,"42":945,"43":984,"44":998,"45":999,"46":1005,"47":1023},{"0":524,"2":578,"3":587,"4":600,"5":626,"6":628,"7":631,"8":632,"9":640,"10":646,"11":655,"12":656,"13":661,"14":671,"15":688,"16":694,"18":718,"19":722,"20":728,"21":756,"22":762,"23":778,"24":781,"25":796,"26":800,"27":804,"28":806,"29":808,"30":818,"31":832,"32":846,"33":868,"34":891,"35":896,"36":914,"38":922,"39":938,"40":950,"42":966,"43":973,"44":988,"45":996,"47":1013,"48":1014},{"0":512,"1":545,"4":584,"5":617,"6":630,"7":633,"8":649,"10":727,"11":736,"12":751,"13":755,"15":764,"16":814,"17":815,"18":842,"19":845,"20":856,"21":881,"22":892,"24":913,"25":923,"26":952,"27":997},{"0":548,"1":592,"2":597,"4":689,"5":698,"9":732,"11":782,"12":799,"13":801,"15":867,"16":870,"17":876,"19":906,"20":924,"21":955,"22":971,"23":987},[519,525,526,529,542,575,606,645,670,684,763,863,894,902,903,1000,1022],{"2":536,"3":555,"4":572,"6":654,"8":735,"10":828,"12":860,"13":875,"15":976,"16":979},{"0":579,"2":658,"3":686,"4":738,"5":797,"6":825,"7":834,"9":941,"11":962,"12":991},{"1":551,"2":558,"5":657,"6":730,"8":829,"9":873},{"1":690,"3":758,"4":776,"5":916},{"1":675,"2":739},{"6":944},[],[]]