[{"0":0,"1":1,"2":2,"5":5,"6":6,"8":8,"10":10,"11":11,"12":13,"13":14,"14":15,"15":18,"16":19,"19":24,"20":25,"22":27,"23":28,"24":29,"25":30,"26":31,"30":36,"31":37,"33":39,"35":41,"36":42,"37":43,"38":44,"40":47,"41":48,"42":50,"43":51,"47":56,"49":59,"50":60,"51":62,"54":65,"56":69,"57":71,"59":73,"60":74,"61":75,"62":76,"63":77,"64":78,"65":79,"67":81,"68":82,"70":86,"71":87,"72":88,"73":89,"74":90,"75":91,"76":92,"77":93,"78":94,"81":97,"82":98,"84":100,"86":103,"88":105,"89":106,"90":108,"91":109,"93":113,"94":114,"95":115,"96":116,"97":117,"98":118,"99":119,"100":120,"101":121,"102":122,"103":123,"106":126,"107":127,"108":128,"109":129,"110":131,"111":133,"112":134,"113":135,"114":136,"115":138,"116":139,"117":140,"118":141,"119":143,"120":144,"121":145,"122":146,"123":147,"124":148,"125":149,"126":150,"127":152,"128":153,"129":155,"130":156,"131":157,"132":159,"133":160,"134":161,"135":162,"136":164,"137":165,"138":166,"139":167,"140":168,"141":169,"142":170,"143":171,"144":172,"145":174,"146":175,"148":177,"149":178,"151":180,"152":181,"153":182,"157":260,"159":265,"161":269,"164":272,"165":273,"166":275,"167":276,"169":278,"170":279,"171":282,"172":283,"173":284,"175":286,"177":288,"178":291,"179":292,"181":294,"182":295,"184":297,"185":299,"186":300,"187":301,"188":302,"189":303,"190":305,"191":306,"192":308,"193":309,"194":310,"195":311,"197":313,"198":314,"200":316,"202":318,"203":319,"204":320,"205":322,"206":323,"207":324,"208":325,"209":326,"210":327,"212":329,"213":331,"214":332,"215":333,"217":335,"220":338,"221":339,"222":340,"224":342,"226":344,"227":345,"228":346,"231":351,"232":352,"233":353,"234":354,"236":356,"238":358,"239":359,"240":360,"241":362,"242":363,"243":365,"244":366,"245":367,"246":368,"248":371,"249":372,"250":373,"251":374,"252":375,"253":376,"254":377,"255":378,"256":379,"257":380,"258":381,"259":382,"260":383,"261":384,"262":386,"263":387,"264":389,"265":390,"266":391,"267":392,"268":393,"269":394,"271":396,"272":398,"273":399,"274":400,"275":401,"276":402,"277":403,"278":404,"279":405,"280":406,"281":409,"282":410,"283":411,"284":412,"285":413,"286":414,"287":415,"288":416,"289":417,"290":418,"292":424,"294":428,"295":429,"296":431,"297":433,"298":435,"299":436,"300":438,"301":515,"302":517,"303":518,"304":525,"305":534,"307":538,"308":542,"309":545,"310":547,"311":548,"312":550,"313":551,"314":552,"315":553,"316":556,"318":559,"319":565,"320":572,"321":574,"322":586,"323":587,"324":590,"325":592,"326":594,"327":600,"328":615,"329":617,"331":629,"332":631,"333":635,"335":643,"336":649,"337":654,"338":659,"339":662,"340":668,"341":670,"342":672,"343":675,"344":688,"345":690,"346":695,"347":697,"349":704,"350":709,"351":712,"352":717,"353":718,"354":731,"355":753,"356":757,"357":762,"358":766,"360":777,"361":780,"362":781,"363":786,"366":817,"367":818,"368":819,"369":822,"371":828,"372":831,"373":835,"375":846,"376":848,"378":866,"379":867,"380":873,"381":888,"382":893,"383":894,"384":897,"385":905,"386":906,"387":918,"388":927,"389":933,"391":936,"392":943,"395":972,"397":974,"398":976,"399":977,"401":983,"402":986,"403":987,"404":992,"405":996,"406":1002,"407":1003,"408":1009,"409":1016},{"1":16,"2":17,"3":21,"4":23,"6":45,"9":61,"10":66,"11":67,"12":70,"14":85,"15":102,"16":107,"17":110,"18":132,"19":137,"20":154,"21":158,"22":163,"23":173,"24":183,"25":184,"26":185,"27":186,"28":187,"29":188,"30":189,"31":190,"32":192,"33":193,"34":194,"35":195,"36":196,"37":198,"38":199,"39":200,"40":201,"41":202,"42":203,"43":204,"44":205,"45":206,"46":207,"48":210,"50":216,"53":221,"55":223,"56":227,"57":228,"58":229,"60":232,"61":233,"62":234,"63":235,"65":238,"66":239,"67":241,"68":242,"69":243,"70":244,"71":246,"72":249,"73":250,"74":251,"76":254,"77":255,"80":264,"81":266,"83":274,"84":280,"85":281,"86":289,"87":290,"88":298,"89":304,"90":307,"91":321,"92":330,"93":347,"94":350,"95":361,"96":364,"97":370,"98":388,"99":397,"101":408,"102":420,"103":421,"104":422,"105":423,"107":427,"108":430,"109":432,"111":437,"112":439,"113":440,"114":441,"115":442,"116":443,"117":445,"118":446,"119":447,"120":448,"121":450,"122":454,"123":455,"124":457,"125":458,"126":459,"127":460,"128":461,"129":462,"130":465,"131":466,"132":467,"133":469,"134":471,"135":472,"136":473,"140":477,"143":481,"145":483,"147":489,"148":490,"149":491,"152":497,"153":498,"155":501,"156":502,"157":505,"158":506,"159":508,"160":509,"161":510,"163":512,"164":522,"165":532,"166":533,"167":535,"168":571,"169":575,"170":576,"171":579,"172":582,"173":583,"174":584,"175":591,"176":601,"177":603,"178":608,"179":610,"180":618,"181":638,"182":646,"183":650,"184":652,"185":653,"186":656,"189":664,"190":671,"191":676,"192":682,"193":685,"194":686,"195":694,"196":696,"197":723,"198":737,"199":743,"200":746,"201":756,"202":760,"203":763,"204":770,"205":773,"206":782,"207":789,"208":798,"209":799,"210":800,"211":802,"212":806,"213":807,"214":808,"215":814,"216":825,"217":829,"218":837,"219":841,"220":842,"221":849,"222":850,"223":851,"224":857,"225":858,"226":859,"227":864,"228":874,"229":892,"230":898,"232":908,"234":910,"235":912,"236":914,"237":916,"238":919,"239":923,"240":925,"241":926,"243":941,"244":950,"245":951,"246":982,"247":990,"249":1001,"251":1017},{"0":53,"1":111,"2":130,"3":142,"4":151,"5":191,"6":209,"9":213,"10":217,"11":218,"12":224,"13":225,"14":226,"17":240,"18":245,"19":247,"20":253,"21":262,"22":385,"23":449,"24":451,"25":452,"26":453,"27":456,"28":463,"29":464,"30":468,"31":480,"33":487,"35":492,"37":496,"38":499,"40":507,"41":514,"42":524,"43":561,"44":563,"45":570,"46":573,"47":588,"48":597,"49":598,"50":621,"51":634,"52":663,"53":667,"54":673,"55":677,"57":687,"58":691,"59":692,"60":701,"61":716,"62":726,"63":727,"64":728,"65":744,"66":747,"67":750,"68":752,"69":759,"70":761,"71":764,"72":767,"73":772,"74":783,"75":784,"76":792,"77":812,"78":840,"79":844,"80":847,"81":853,"82":854,"83":855,"85":865,"86":870,"89":878,"90":883,"91":890,"92":896,"93":903,"94":915,"95":920,"97":924,"98":931,"99":939,"100":944,"101":945,"102":952,"103":954,"104":955,"105":957,"106":964,"108":971,"109":979,"110":984,"111":985,"113":999,"114":1008,"115":1015,"116":1018},{"0":197,"1":215,"2":248,"3":444,"4":470,"5":484,"6":504,"7":526,"8":530,"9":544,"10":585,"11":605,"12":606,"13":624,"14":636,"15":640,"16":641,"17":684,"18":698,"19":711,"20":713,"21":715,"22":719,"24":729,"25":735,"26":736,"27":739,"28":741,"30":769,"32":775,"34":779,"35":790,"36":804,"37":815,"38":816,"39":821,"40":833,"41":839,"42":869,"43":879,"44":882,"45":885,"46":891,"47":904,"48":940,"49":949,"50":959,"51":981,"52":989,"53":1022},{"0":513,"1":529,"3":555,"4":568,"5":578,"6":580,"7":593,"8":596,"9":627,"10":632,"11":648,"12":660,"13":689,"14":700,"15":710,"16":720,"17":748,"19":785,"20":787,"22":793,"23":803,"25":827,"26":830,"27":887,"28":917,"29":932,"30":935,"31":937,"33":980,"34":997,"35":1004,"37":1011,"38":1019},{"2":560,"3":581,"4":607,"5":620,"6":651,"10":714,"11":749,"13":794,"14":795,"16":868,"19":899,"20":948,"21":963,"22":975},{"1":528,"2":531,"3":549,"4":562,"5":569,"6":630,"7":639,"8":655,"10":708,"12":725,"13":730,"14":732,"15":805,"16":834,"17":872,"18":886,"19":901,"22":960,"25":1023},{"0":527,"1":554,"5":609,"6":613,"10":811,"11":845,"12":863,"13":921,"14":947,"16":968,"17":969},{"0":540,"3":599,"4":611,"6":626,"8":674,"10":706,"11":740,"16":907},{"1":566,"8":824,"12":946,"13":953,"14":1000},{"1":619,"4":669,"6":705,"9":796,"11":843,"15":967},{"1":616,"7":1013},[],[],[],[],[],[],[]]