[{"0":0,"1":2,"2":3,"3":4,"4":5,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"13":16,"14":17,"15":18,"16":19,"17":20,"18":22,"19":23,"21":26,"22":28,"23":29,"24":30,"26":32,"27":34,"28":35,"29":36,"30":37,"31":38,"32":39,"33":40,"34":43,"35":44,"36":45,"37":46,"38":47,"39":48,"40":49,"41":50,"42":51,"43":53,"44":54,"45":55,"46":57,"47":58,"48":59,"49":62,"50":63,"51":64,"52":65,"53":66,"55":68,"56":69,"57":70,"58":72,"59":74,"60":75,"61":76,"62":77,"63":78,"64":80,"65":81,"66":82,"67":85,"69":87,"70":89,"71":91,"72":92,"73":93,"74":94,"75":95,"76":97,"77":98,"78":99,"79":100,"80":102,"81":103,"82":104,"83":105,"84":106,"85":107,"86":109,"88":111,"90":115,"91":116,"92":117,"93":118,"94":119,"95":120,"96":121,"98":123,"99":124,"100":125,"101":126,"102":128,"103":129,"104":130,"105":131,"107":133,"108":134,"109":135,"110":136,"111":137,"112":138,"113":139,"114":140,"115":141,"116":142,"117":144,"119":147,"120":148,"121":149,"122":151,"124":256,"125":257,"126":258,"127":259,"128":260,"130":262,"131":263,"132":264,"134":266,"135":267,"137":269,"138":271,"139":272,"140":273,"141":274,"142":275,"143":277,"144":278,"145":279,"146":280,"147":281,"148":282,"150":285,"151":286,"153":289,"154":290,"155":291,"156":292,"157":293,"158":294,"159":295,"160":296,"161":297,"162":298,"163":299,"164":300,"165":301,"166":303,"167":306,"168":307,"169":308,"170":309,"171":310,"172":311,"173":312,"174":313,"175":314,"178":317,"179":318,"180":319,"182":322,"183":323,"184":324,"187":327,"188":328,"189":330,"190":331,"192":333,"193":334,"194":335,"195":336,"196":338,"197":339,"198":340,"199":343,"200":344,"202":347,"203":348,"204":349,"206":352,"207":354,"208":355,"209":357,"210":358,"211":359,"212":360,"214":362,"215":363,"216":364,"217":365,"218":366,"219":367,"220":368,"221":369,"222":370,"223":373,"224":375,"225":376,"226":377,"227":378,"228":379,"229":380,"230":381,"231":382,"232":384,"233":385,"234":386,"235":387,"236":389,"237":390,"238":391,"239":393,"240":394,"241":395,"242":396,"243":397,"244":398,"245":400,"246":401,"247":402,"248":403,"249":404,"250":405,"251":406,"252":407,"253":408,"254":515,"255":518,"256":539,"257":548,"258":549,"259":553,"260":554,"261":557,"262":578,"263":581,"264":610,"265":615,"266":616,"267":618,"268":619,"269":620,"270":624,"271":631,"272":639,"273":643,"274":647,"275":651,"276":656,"277":660,"278":684,"279":687,"280":710,"281":721,"282":724,"283":725,"284":728,"286":740,"287":744,"288":749,"289":750,"290":752,"291":754,"292":758,"293":761,"294":778,"295":781,"296":783,"297":787,"298":809,"299":815,"301":842,"302":851,"303":853,"304":859,"305":875,"306":890,"307":893,"308":909,"309":910,"310":913,"311":931,"312":952,"314":969,"315":970,"316":974,"317":976,"318":980,"319":984,"320":989,"321":998,"322":1001,"323":1008,"324":1009,"325":1011,"326":1013,"327":1020,"328":1021},{"0":1,"2":14,"3":24,"4":27,"5":33,"6":41,"7":42,"8":56,"9":60,"10":61,"11":73,"12":79,"13":83,"14":84,"15":88,"16":108,"17":113,"18":114,"19":143,"20":145,"21":150,"22":152,"23":154,"24":155,"25":157,"26":158,"28":160,"29":161,"30":162,"31":163,"32":164,"33":165,"34":166,"35":168,"36":170,"37":171,"38":172,"39":174,"40":175,"41":177,"42":180,"43":181,"44":182,"45":183,"46":184,"47":186,"48":187,"49":188,"50":189,"51":192,"52":193,"53":194,"54":195,"55":196,"56":197,"57":198,"58":199,"60":202,"61":203,"62":204,"63":206,"64":207,"65":208,"66":209,"67":210,"68":211,"69":212,"70":213,"71":215,"72":216,"73":217,"74":219,"75":221,"76":222,"77":224,"78":225,"79":226,"81":228,"82":230,"83":231,"84":232,"85":233,"87":235,"88":237,"89":238,"91":240,"92":242,"93":243,"94":244,"95":245,"96":246,"98":248,"99":250,"100":251,"101":253,"102":254,"104":270,"105":276,"106":284,"107":288,"108":302,"109":304,"110":305,"111":320,"112":329,"113":337,"114":341,"115":342,"116":345,"117":350,"118":353,"119":356,"120":371,"121":372,"122":374,"123":383,"124":388,"125":392,"126":399,"127":409,"128":410,"129":411,"130":413,"131":415,"132":417,"133":418,"134":419,"135":422,"137":424,"139":426,"140":427,"141":428,"142":429,"143":430,"144":431,"145":432,"146":433,"147":434,"149":437,"150":438,"151":439,"152":440,"153":442,"154":443,"156":445,"157":446,"158":447,"159":449,"161":452,"162":453,"163":456,"164":457,"165":458,"166":460,"167":461,"168":463,"169":464,"170":465,"171":466,"172":468,"173":469,"174":470,"175":472,"176":474,"178":476,"180":480,"181":481,"182":483,"184":486,"185":487,"186":488,"187":489,"190":493,"191":494,"192":495,"193":496,"195":498,"196":500,"197":502,"198":503,"200":507,"201":508,"202":509,"203":510,"204":511,"205":516,"206":522,"207":534,"208":536,"209":541,"210":559,"211":560,"212":584,"213":585,"214":592,"215":608,"216":611,"217":622,"218":627,"219":636,"220":645,"221":652,"222":653,"223":659,"224":662,"225":666,"226":685,"227":699,"228":703,"229":727,"230":729,"231":730,"232":731,"233":737,"234":741,"235":742,"236":753,"237":755,"238":756,"239":762,"240":767,"241":770,"242":772,"243":779,"244":780,"245":794,"246":798,"247":818,"248":821,"249":835,"251":839,"252":844,"253":850,"254":858,"255":863,"256":868,"257":877,"258":878,"259":886,"260":887,"261":894,"262":895,"263":923,"264":926,"265":941,"266":943,"267":954,"268":957,"269":966,"270":997,"271":1005},{"0":21,"1":52,"2":71,"3":90,"4":101,"5":127,"6":156,"7":167,"8":169,"9":173,"10":176,"11":178,"12":179,"13":185,"14":190,"15":191,"16":200,"17":205,"18":214,"19":218,"20":220,"21":223,"22":229,"23":236,"24":241,"25":249,"26":252,"27":412,"28":414,"29":416,"30":420,"31":421,"32":435,"33":441,"34":450,"35":454,"36":455,"37":462,"38":467,"39":471,"40":473,"41":477,"42":482,"43":485,"44":492,"45":499,"46":501,"47":505,"48":506,"49":519,"50":520,"51":524,"52":543,"53":546,"54":547,"55":562,"56":566,"57":570,"58":572,"59":590,"60":599,"61":602,"62":614,"63":617,"64":634,"65":657,"66":665,"67":670,"68":688,"70":691,"71":692,"72":705,"73":706,"74":707,"75":714,"77":722,"78":736,"79":747,"80":773,"81":774,"82":775,"83":796,"84":797,"85":799,"86":802,"87":804,"88":806,"89":811,"90":819,"91":848,"92":871,"93":882,"95":908,"96":919,"97":927,"98":928,"99":930,"100":934,"101":953,"102":960,"103":973,"105":992,"106":995,"107":1014,"108":1015,"109":1016,"110":1018},{"0":478,"1":514,"2":523,"3":529,"4":530,"5":531,"7":538,"8":550,"9":568,"10":573,"11":574,"12":577,"13":586,"14":591,"15":593,"16":603,"17":612,"18":638,"20":664,"21":694,"22":702,"23":708,"24":713,"25":759,"26":764,"27":782,"28":814,"29":827,"30":829,"31":838,"32":852,"33":860,"34":872,"35":873,"36":896,"37":902,"38":906,"39":915,"40":917,"41":932,"42":936,"43":947,"44":949,"45":956,"46":964,"47":981,"48":985,"49":986,"50":987,"51":991,"52":1002,"53":1004,"54":1017},{"0":96,"1":459,"2":525,"3":533,"5":564,"6":565,"8":582,"9":600,"10":604,"11":605,"12":609,"13":637,"14":640,"16":644,"17":674,"18":677,"19":689,"20":712,"21":715,"22":716,"24":786,"25":790,"26":805,"27":808,"28":830,"29":831,"30":832,"31":841,"32":857,"33":861,"34":874,"35":892,"36":914,"37":920,"38":922,"39":939,"40":948,"41":955,"42":959,"43":965,"45":1007},{"0":448,"1":528,"2":532,"3":540,"4":542,"5":555,"6":601,"7":613,"8":626,"9":632,"10":686,"11":704,"13":732,"14":745,"15":746,"16":757,"17":795,"18":807,"19":840,"20":867,"21":870,"22":885,"24":911,"25":918,"26":921,"27":924,"29":958,"30":972,"31":978,"32":1003},{"0":512,"1":594,"2":628,"3":669,"4":681,"5":701,"6":751,"7":763,"8":784,"9":785,"10":810,"12":938,"13":946,"14":1010},{"0":625,"1":635,"2":654,"3":743,"4":791,"5":803,"6":817,"7":824,"8":846,"9":847,"10":883,"11":891,"12":897,"13":963,"14":975,"16":999},{"0":527,"1":551,"2":556,"3":571,"4":680,"5":682,"6":723,"7":769,"8":812,"10":855,"11":865,"12":935,"13":944,"14":968,"15":979,"16":1006},[545,558,597,598,606,621,642,655,658,667,679,748,771,788,843,933,951,971,990,1022],{"0":526,"2":587,"3":630,"4":648,"5":823,"6":825,"7":880,"8":889,"9":900,"10":925,"11":929,"12":988,"13":996,"14":1019,"15":1023},[513,576,588,596,661,673,675,676,697,698,765,768,816,849,881,899,916,982,1000,1012],[521,561,567,580,633,650,663,672,718,720,734,735,800,834,854,862,864,876,912],{"0":537,"1":552,"2":569,"3":607,"4":623,"5":668,"6":695,"7":696,"8":711,"9":719,"11":766,"12":898,"13":937},{"0":517,"1":583,"2":649,"3":683,"4":700,"5":738,"6":760,"7":777,"8":793,"9":801,"11":845,"12":856,"13":869,"14":905,"15":950},{"0":589,"2":678,"3":693,"4":820,"5":828,"6":837,"7":866,"8":961,"9":962},[544,629,826],[901,940],[595,709,904,994],[789,792,879,903]]