[{"0":0,"1":1,"3":4,"4":5,"5":6,"6":8,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":19,"18":21,"19":22,"20":23,"22":25,"24":27,"25":28,"27":30,"28":31,"29":32,"31":37,"32":38,"33":39,"35":41,"36":42,"37":43,"39":48,"40":49,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":60,"51":62,"52":63,"53":65,"54":66,"55":67,"56":68,"57":69,"58":71,"59":72,"60":73,"61":74,"62":75,"63":77,"65":79,"66":80,"67":81,"69":83,"71":85,"72":86,"73":87,"74":88,"75":89,"76":90,"77":91,"78":93,"79":95,"80":96,"83":101,"84":102,"85":103,"87":105,"88":106,"92":110,"93":111,"95":113,"96":114,"100":121,"101":122,"102":123,"103":124,"104":125,"105":126,"108":130,"109":131,"110":132,"111":134,"112":136,"113":137,"114":138,"115":139,"116":140,"117":141,"118":142,"119":144,"121":146,"122":147,"123":148,"125":150,"127":152,"130":155,"131":156,"132":158,"133":160,"134":161,"135":163,"136":164,"137":165,"139":167,"140":168,"141":169,"142":170,"144":172,"145":173,"146":174,"147":175,"148":176,"149":177,"150":179,"152":181,"153":182,"154":183,"155":184,"156":185,"157":186,"158":187,"159":188,"160":189,"161":191,"162":192,"163":193,"164":195,"165":196,"166":197,"167":198,"168":199,"169":201,"170":202,"171":203,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":212,"179":213,"180":214,"181":215,"182":216,"183":217,"184":218,"185":219,"186":220,"187":221,"188":222,"189":223,"190":224,"191":225,"192":226,"193":227,"194":228,"195":229,"196":230,"197":231,"198":232,"200":234,"201":235,"202":236,"203":237,"204":238,"205":239,"206":240,"207":256,"211":260,"213":262,"214":263,"215":264,"216":265,"217":266,"218":267,"219":268,"220":269,"221":270,"222":272,"223":273,"224":274,"225":275,"226":276,"227":277,"228":279,"229":280,"230":281,"231":282,"232":283,"233":284,"235":286,"236":287,"237":288,"238":289,"239":291,"240":292,"241":293,"242":294,"243":295,"244":296,"245":297,"246":298,"247":299,"250":302,"251":303,"252":304,"253":305,"257":309,"258":312,"259":313,"260":314,"261":315,"262":318,"263":319,"264":320,"265":321,"266":322,"267":323,"268":325,"269":327,"271":329,"272":330,"273":332,"274":333,"275":334,"276":335,"277":336,"278":337,"280":340,"281":341,"282":342,"283":343,"284":344,"285":345,"286":346,"287":347,"288":348,"289":349,"290":351,"291":352,"292":353,"293":354,"294":355,"296":357,"297":358,"298":359,"300":362,"301":363,"303":365,"304":366,"305":367,"306":368,"308":372,"309":373,"310":374,"311":375,"312":376,"313":377,"314":378,"315":379,"317":381,"318":382,"319":383,"320":384,"321":385,"322":386,"323":388,"324":389,"325":390,"327":394,"328":395,"331":398,"332":399,"335":402,"336":403,"337":405,"338":406,"339":407,"340":408,"341":409,"342":410,"343":411,"345":413,"346":415,"347":416,"348":417,"350":419,"351":420,"352":421,"353":422,"355":424,"356":425,"359":432,"360":433,"361":434,"362":435,"364":439,"365":440,"366":441,"367":442,"368":443,"369":444,"370":445,"371":447,"372":448,"373":449,"374":450,"375":451,"376":453,"377":454,"379":457,"380":460,"381":461,"382":462,"383":463,"384":464,"385":465,"386":466,"387":467,"388":469,"390":471,"391":472,"392":473,"393":474,"394":475,"395":476,"396":477,"397":478,"398":479,"400":482,"401":483,"402":484,"403":486,"404":487,"405":489,"406":490,"407":491,"408":492,"409":493,"410":494,"411":495,"412":496,"413":515,"414":517,"415":521,"417":524,"419":529,"420":532,"421":544,"422":548,"423":552,"424":559,"425":571,"426":573,"428":577,"429":578,"430":584,"431":595,"432":599,"433":618,"434":624,"435":636,"436":644,"437":653,"438":654,"440":656,"441":657,"442":663,"443":664,"445":676,"446":693,"447":703,"448":705,"449":706,"450":713,"451":714,"452":720,"453":727,"454":736,"455":747,"456":753,"457":763,"458":776,"459":777,"460":778,"461":781,"463":798,"464":800,"465":801,"466":818,"467":826,"468":829,"469":833,"470":847,"471":850,"472":855,"473":859,"474":862,"475":865,"476":866,"477":868,"478":873,"479":880,"480":883,"481":889,"482":896,"484":914,"485":918,"487":923,"488":928,"489":934,"490":959,"491":963,"492":975,"493":992,"494":1012,"495":1014,"496":1016},{"0":3,"1":7,"3":33,"4":34,"5":35,"6":44,"7":46,"9":59,"11":64,"13":76,"14":92,"15":94,"16":97,"18":117,"19":118,"21":128,"22":133,"24":143,"25":157,"26":159,"27":162,"28":178,"30":194,"31":200,"32":210,"33":211,"34":241,"35":242,"36":244,"37":245,"38":247,"39":248,"40":249,"41":251,"42":252,"43":253,"44":254,"45":271,"46":278,"47":290,"48":310,"49":311,"50":316,"51":317,"52":324,"53":326,"54":331,"55":339,"56":350,"57":361,"58":370,"59":371,"60":387,"61":392,"62":393,"63":404,"64":414,"65":427,"66":428,"67":429,"68":431,"69":436,"70":437,"71":446,"72":452,"74":458,"76":468,"77":481,"78":485,"79":488,"80":497,"81":499,"82":500,"83":501,"84":502,"85":503,"86":504,"87":505,"88":506,"89":507,"90":508,"91":509,"92":510,"93":513,"95":518,"96":523,"97":525,"98":531,"99":533,"100":534,"101":539,"102":541,"104":547,"105":551,"106":557,"107":562,"108":563,"109":568,"111":580,"112":588,"113":590,"114":592,"115":597,"116":598,"117":603,"119":610,"120":611,"121":612,"122":615,"123":620,"124":621,"125":627,"126":635,"127":638,"128":648,"129":649,"130":650,"131":668,"133":670,"134":671,"135":672,"136":680,"137":682,"138":683,"140":687,"141":699,"142":704,"143":707,"144":718,"145":721,"146":729,"147":737,"148":740,"149":746,"150":751,"151":752,"152":754,"153":757,"154":765,"155":770,"157":773,"158":787,"159":790,"160":806,"161":808,"163":830,"164":846,"166":853,"167":856,"168":861,"169":869,"170":871,"171":875,"172":885,"173":888,"175":904,"176":908,"177":910,"178":919,"179":927,"180":929,"181":931,"182":933,"183":938,"184":941,"185":943,"186":956,"187":958,"188":964,"189":973,"190":976,"191":981,"192":985,"193":990,"194":993,"195":998,"196":1005,"197":1008,"198":1018,"199":1019},{"1":246,"2":250,"3":255,"4":498,"5":511,"6":514,"7":542,"8":545,"9":554,"10":564,"11":566,"12":581,"13":582,"14":604,"15":606,"16":608,"17":626,"18":633,"19":634,"22":647,"24":652,"25":692,"26":694,"28":701,"29":702,"30":710,"31":717,"32":724,"33":731,"34":733,"35":739,"36":741,"37":744,"38":766,"39":779,"40":791,"41":810,"42":811,"43":816,"44":822,"45":828,"46":831,"47":832,"48":837,"50":844,"51":849,"52":854,"53":857,"55":860,"56":874,"57":878,"58":879,"59":881,"60":884,"61":887,"62":890,"63":898,"64":925,"65":926,"66":944,"67":945,"68":950,"69":951,"70":954,"71":965,"72":967,"73":970,"74":971,"75":974,"76":977,"77":988,"78":989,"79":1000,"80":1002,"81":1003,"82":1011,"83":1013,"84":1015,"85":1021},{"0":519,"1":528,"2":550,"3":556,"4":558,"5":561,"6":565,"7":575,"8":587,"9":591,"10":593,"11":614,"12":617,"13":637,"14":639,"15":661,"16":665,"18":678,"19":681,"20":688,"21":696,"22":697,"23":708,"24":726,"26":749,"27":750,"28":756,"29":767,"30":775,"31":782,"32":786,"33":789,"34":802,"35":809,"36":817,"37":820,"38":821,"39":825,"40":834,"41":835,"42":838,"43":841,"44":863,"45":870,"46":872,"47":877,"48":892,"49":895,"50":897,"51":902,"52":912,"53":913,"54":915,"55":916,"57":921,"58":932,"59":935,"60":946,"61":955,"62":968,"63":986,"64":994,"65":999,"66":1020},{"0":512,"1":526,"2":538,"3":543,"4":560,"5":569,"6":579,"7":585,"8":600,"9":602,"10":605,"11":622,"13":642,"14":645,"15":659,"18":722,"19":734,"20":738,"21":768,"22":780,"23":783,"24":785,"25":792,"26":794,"27":803,"28":848,"29":882,"30":911,"32":939,"33":940,"34":969,"35":980,"36":982,"38":996,"39":1017},{"0":536,"3":555,"4":576,"5":596,"6":619,"8":662,"10":679,"11":700,"12":730,"13":732,"14":748,"15":759,"17":761,"18":797,"19":805,"20":807,"22":851,"23":876,"24":917,"25":930,"26":953,"28":960,"29":984},{"0":530,"3":631,"4":658,"6":698,"7":711,"8":774,"9":799,"10":824,"11":843,"13":909,"14":952,"15":962,"17":1001},{"0":572,"1":607,"3":709,"4":764,"6":823,"8":836,"9":891,"11":903,"13":947,"14":972,"16":1007,"17":1009},{"0":586,"2":632,"3":643,"4":673,"5":686,"8":758,"9":762,"10":784,"12":804,"14":894,"15":1010,"16":1023},{"0":540,"1":567,"4":646,"7":742,"9":814,"10":864,"14":983},{"2":675,"3":689,"6":936,"7":948,"9":961},{"0":594,"3":723,"5":867,"6":906,"8":995},[535,719,743,769,771,812,842],[625,660,690,839],[]]