[{"0":0,"1":2,"3":4,"5":6,"6":7,"7":8,"9":10,"11":12,"13":16,"14":17,"15":18,"17":20,"18":21,"19":22,"20":23,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"29":32,"32":36,"33":37,"35":39,"37":41,"38":42,"40":44,"41":46,"42":47,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"51":56,"52":57,"55":60,"57":62,"60":65,"62":67,"63":68,"64":69,"65":70,"66":71,"67":72,"68":73,"69":74,"70":76,"71":77,"72":78,"73":79,"76":82,"77":84,"78":86,"79":88,"82":92,"83":93,"85":95,"89":100,"91":102,"92":103,"97":108,"98":109,"99":110,"101":112,"102":113,"103":116,"104":118,"105":119,"106":120,"107":121,"108":123,"109":124,"113":128,"114":129,"115":130,"116":131,"117":133,"118":134,"119":135,"120":136,"121":138,"122":139,"124":141,"125":142,"126":144,"127":145,"129":147,"130":148,"131":149,"132":151,"133":153,"134":154,"136":156,"137":157,"138":158,"139":159,"140":160,"141":161,"142":163,"144":165,"145":166,"146":168,"148":170,"150":172,"151":173,"153":175,"154":176,"156":179,"157":180,"158":181,"159":182,"160":183,"162":185,"163":186,"164":187,"166":189,"167":190,"168":191,"169":192,"170":193,"172":195,"173":197,"176":200,"177":201,"178":202,"179":204,"180":205,"181":206,"182":207,"183":208,"184":209,"185":210,"186":211,"187":213,"188":214,"189":215,"190":256,"193":259,"194":260,"195":261,"196":263,"197":264,"198":266,"200":271,"201":272,"202":273,"203":274,"205":276,"206":277,"207":278,"209":280,"210":281,"211":282,"212":283,"213":284,"214":285,"215":286,"216":287,"217":288,"218":289,"219":290,"222":293,"223":294,"224":295,"226":297,"227":298,"229":300,"231":302,"233":304,"235":306,"236":307,"237":308,"239":310,"240":311,"241":312,"242":313,"243":315,"245":317,"248":320,"250":322,"253":326,"254":327,"256":329,"258":331,"259":332,"260":333,"262":335,"263":336,"264":337,"265":338,"266":339,"267":340,"269":342,"270":343,"271":344,"272":345,"273":346,"274":347,"275":348,"277":350,"282":355,"284":359,"285":361,"286":362,"287":363,"289":365,"293":369,"294":371,"295":372,"297":374,"298":375,"299":376,"301":378,"302":379,"303":380,"304":381,"305":382,"306":383,"307":384,"308":385,"309":386,"310":387,"312":389,"313":390,"314":391,"315":393,"316":394,"318":396,"319":397,"320":398,"322":400,"323":402,"324":403,"326":405,"329":409,"330":410,"331":411,"333":413,"334":414,"335":415,"336":416,"337":417,"338":418,"339":419,"340":420,"342":423,"344":426,"345":427,"346":428,"348":430,"349":431,"351":433,"352":434,"353":435,"354":437,"355":438,"357":440,"358":441,"359":442,"360":443,"361":444,"362":445,"363":446,"364":447,"365":448,"366":449,"367":450,"368":451,"369":452,"370":453,"372":455,"375":458,"376":459,"379":462,"380":465,"382":467,"383":468,"384":469,"385":470,"386":471,"387":517,"388":533,"389":540,"390":544,"391":546,"393":551,"394":558,"395":574,"396":581,"397":611,"399":637,"400":644,"402":669,"403":681,"404":693,"405":694,"406":700,"407":708,"408":727,"409":742,"410":745,"412":775,"413":777,"414":781,"415":785,"417":793,"419":799,"420":828,"421":833,"422":837,"424":850,"425":851,"426":855,"427":856,"428":876,"429":887,"430":890,"431":910,"432":913,"433":923,"434":928,"435":936,"436":937,"437":938,"438":946,"439":962,"440":967,"441":991,"442":1000,"443":1009,"444":1020},{"0":1,"1":13,"2":14,"3":35,"4":45,"5":75,"6":83,"7":85,"8":87,"9":90,"10":96,"11":114,"12":117,"13":122,"16":143,"17":150,"18":152,"19":162,"20":167,"21":177,"22":196,"23":203,"24":212,"27":218,"29":221,"30":222,"31":225,"32":226,"33":227,"34":228,"35":229,"36":230,"39":233,"41":236,"42":237,"43":238,"44":239,"47":242,"48":243,"50":245,"51":246,"52":247,"54":249,"55":250,"56":251,"57":252,"58":253,"59":254,"60":255,"61":262,"62":265,"63":267,"64":314,"65":324,"66":356,"67":357,"68":360,"70":392,"72":406,"73":422,"74":424,"75":463,"76":464,"79":474,"80":476,"81":477,"82":478,"83":480,"84":482,"86":485,"87":486,"91":491,"92":492,"93":494,"94":495,"97":500,"98":501,"99":502,"102":506,"103":507,"104":508,"105":510,"106":511,"107":514,"108":523,"109":528,"110":545,"111":548,"112":552,"113":555,"115":575,"116":592,"118":600,"119":602,"120":604,"121":613,"122":614,"123":621,"124":625,"125":633,"127":636,"128":652,"129":654,"130":657,"131":661,"132":663,"133":666,"134":668,"135":675,"136":680,"137":684,"138":696,"139":702,"140":711,"141":722,"142":731,"143":741,"144":750,"145":752,"146":754,"149":764,"150":766,"151":769,"152":778,"153":779,"154":786,"155":788,"156":791,"157":795,"158":800,"159":801,"160":804,"162":811,"163":814,"164":820,"165":832,"166":836,"167":841,"168":852,"169":857,"170":858,"171":859,"172":860,"173":863,"174":869,"175":870,"176":877,"177":882,"178":903,"179":904,"180":905,"181":906,"182":908,"183":912,"184":915,"185":918,"186":919,"187":922,"188":925,"189":929,"190":933,"191":942,"193":950,"194":958,"195":960,"196":968,"197":970,"198":972,"199":974,"200":978,"201":981,"202":983,"203":985,"205":988,"206":992,"207":995,"208":996,"209":998,"210":1012,"211":1019,"212":1021},{"0":115,"1":220,"2":223,"3":224,"5":268,"6":270,"7":436,"8":475,"9":479,"10":484,"11":493,"13":505,"14":513,"15":524,"16":529,"17":530,"18":536,"19":543,"20":547,"21":549,"22":556,"23":562,"25":567,"26":568,"27":582,"28":607,"29":608,"31":610,"32":615,"33":617,"35":632,"37":648,"38":660,"39":688,"40":691,"41":695,"42":705,"43":714,"44":717,"45":719,"46":723,"47":730,"48":735,"49":747,"50":748,"51":753,"52":756,"53":763,"54":767,"55":773,"56":807,"57":813,"58":821,"60":823,"61":824,"62":831,"63":834,"64":839,"65":842,"66":846,"68":867,"69":883,"70":891,"71":899,"72":901,"73":911,"74":916,"76":934,"77":947,"78":956,"79":969,"80":971,"81":977,"82":980,"83":1011},{"0":481,"1":490,"2":499,"3":509,"4":522,"7":537,"8":557,"9":561,"10":580,"12":619,"13":623,"14":627,"15":631,"16":646,"18":690,"19":704,"20":707,"21":709,"22":715,"26":749,"27":762,"28":770,"29":772,"30":787,"31":802,"34":810,"35":840,"36":844,"37":868,"38":872,"39":893,"40":902,"41":909,"43":935,"44":943,"45":944,"46":961,"47":975,"48":982,"49":984,"50":997,"52":1017},{"0":520,"4":573,"5":577,"6":578,"7":579,"8":583,"9":591,"10":596,"11":606,"12":620,"13":628,"16":662,"17":667,"18":676,"21":697,"22":698,"23":699,"24":703,"26":733,"29":771,"32":843,"35":930,"36":941,"37":955,"38":963,"39":989,"41":1014},{"0":515,"1":516,"2":525,"4":570,"5":571,"7":597,"8":647,"9":649,"10":650,"11":658,"12":671,"13":682,"14":692,"15":706,"16":712,"17":728,"18":729,"19":737,"20":738,"24":776,"25":792,"26":812,"27":815,"28":825,"29":829,"31":952,"33":957,"35":966,"36":990,"37":994,"38":999},{"0":518,"3":586,"4":590,"5":640,"6":665,"7":673,"8":679,"9":743,"10":782,"11":819,"12":874,"13":880,"14":881,"16":892,"17":896,"18":898,"19":907,"20":917,"21":939,"22":945,"23":959,"25":993,"26":1003},{"1":527,"2":534,"3":538,"6":642,"7":674,"8":677,"12":724,"13":734,"14":740,"15":746,"16":805,"17":817,"18":845,"19":866,"22":932,"23":973,"24":1006,"25":1013,"27":1016},{"5":710,"6":732,"7":783,"9":818,"10":838,"15":976,"16":1018},{"1":526,"5":630,"7":678,"9":827,"11":885},{"2":599,"3":622,"8":861,"11":895,"13":949,"14":986,"15":1010,"16":1022},{"2":639,"5":720,"9":780,"10":796},{"0":539,"1":585,"2":601,"3":656,"7":884},{"0":589,"4":873,"5":940},[],[],[],[]]