[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":10,"9":11,"10":12,"11":13,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":28,"25":29,"28":35,"30":37,"31":38,"33":40,"34":41,"36":43,"37":44,"38":46,"39":48,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":57,"48":59,"49":61,"50":62,"51":63,"52":65,"53":66,"54":67,"55":68,"56":69,"57":70,"59":72,"61":74,"62":75,"63":76,"64":77,"65":78,"66":79,"67":80,"68":81,"69":82,"71":84,"72":85,"74":87,"75":88,"76":89,"77":90,"78":91,"79":92,"80":94,"81":95,"82":96,"83":97,"84":98,"85":99,"86":101,"87":102,"88":104,"89":105,"90":106,"91":107,"92":108,"93":109,"94":110,"95":112,"96":114,"97":115,"98":116,"99":117,"100":119,"101":121,"102":123,"103":124,"104":125,"105":126,"106":127,"107":128,"108":129,"109":130,"110":131,"111":132,"112":133,"113":136,"114":137,"115":139,"116":140,"117":141,"118":142,"119":143,"120":145,"121":148,"122":149,"123":150,"124":151,"125":152,"126":153,"127":154,"128":155,"129":156,"130":158,"132":160,"133":161,"134":162,"135":165,"136":166,"137":167,"138":168,"139":169,"140":170,"141":171,"142":172,"143":173,"144":174,"145":176,"146":178,"147":179,"148":180,"149":181,"150":182,"151":183,"152":184,"153":186,"154":187,"155":188,"156":189,"157":190,"158":191,"159":192,"160":194,"162":257,"163":258,"164":259,"165":260,"166":261,"167":262,"168":263,"169":264,"170":265,"171":266,"172":267,"173":268,"174":269,"176":271,"177":273,"178":274,"179":275,"180":276,"181":277,"182":278,"183":279,"184":282,"185":283,"186":284,"187":285,"188":287,"190":289,"191":290,"192":291,"193":292,"194":293,"195":294,"196":295,"197":296,"198":298,"199":299,"200":300,"201":301,"202":302,"203":304,"204":305,"205":306,"206":307,"207":308,"208":309,"209":310,"210":312,"211":313,"212":314,"213":315,"214":316,"215":317,"216":318,"217":319,"218":320,"219":321,"220":322,"221":323,"222":324,"223":325,"224":326,"226":328,"227":329,"228":330,"229":331,"230":332,"231":333,"232":335,"236":339,"237":340,"238":341,"239":342,"240":343,"241":344,"242":345,"243":346,"244":347,"245":349,"246":350,"247":351,"248":352,"249":354,"250":355,"251":356,"252":357,"253":358,"254":359,"256":361,"257":362,"258":363,"259":364,"260":366,"261":367,"262":368,"263":369,"264":371,"265":372,"266":374,"267":375,"268":376,"269":377,"270":380,"271":381,"272":382,"273":383,"274":384,"275":385,"276":386,"277":387,"278":390,"279":391,"280":392,"281":393,"282":394,"283":395,"284":396,"285":397,"286":398,"287":399,"288":400,"289":401,"290":402,"291":403,"292":404,"293":405,"294":406,"295":407,"296":409,"297":410,"298":412,"299":413,"300":414,"301":415,"302":417,"303":418,"304":419,"305":420,"306":423,"307":425,"308":426,"309":428,"310":429,"311":430,"312":431,"313":432,"314":433,"315":434,"316":435,"317":438,"318":439,"319":440,"320":441,"321":442,"322":443,"323":444,"324":445,"325":446,"326":448,"327":449,"328":450,"329":452,"330":521,"331":524,"332":530,"333":539,"334":543,"335":552,"336":553,"337":567,"338":570,"339":574,"340":576,"341":579,"342":582,"343":583,"344":594,"345":599,"346":607,"347":608,"348":609,"349":610,"350":612,"351":623,"352":636,"353":637,"354":639,"355":640,"356":644,"357":645,"358":647,"359":654,"360":664,"361":669,"362":670,"363":675,"364":683,"365":684,"366":689,"367":692,"368":704,"369":709,"370":712,"371":713,"372":715,"373":716,"374":717,"375":718,"376":723,"377":728,"378":730,"379":736,"380":744,"381":750,"382":752,"383":757,"384":760,"385":769,"386":772,"387":773,"388":774,"389":787,"390":803,"391":807,"392":811,"393":816,"394":819,"395":824,"396":825,"397":826,"398":829,"399":832,"400":833,"401":835,"402":837,"403":838,"404":840,"405":841,"406":843,"407":846,"408":848,"409":849,"410":854,"411":857,"412":888,"413":892,"414":893,"415":895,"416":904,"417":907,"418":909,"419":912,"420":913,"421":914,"422":916,"423":935,"424":937,"425":940,"426":945,"427":954,"428":955,"429":958,"430":967,"431":969,"432":975,"433":977,"434":978,"435":980,"436":981,"437":989,"438":998,"439":1003,"440":1010,"441":1019},{"0":4,"1":9,"2":15,"3":24,"4":32,"5":33,"6":34,"7":45,"8":47,"9":56,"10":60,"11":64,"12":93,"13":100,"14":103,"15":111,"16":113,"17":118,"18":120,"19":122,"20":134,"21":135,"22":138,"23":144,"24":146,"25":147,"26":157,"27":175,"28":177,"29":185,"30":193,"31":195,"32":197,"33":198,"34":199,"35":201,"36":203,"37":204,"38":205,"39":206,"40":207,"41":208,"42":209,"43":213,"44":216,"45":217,"46":218,"47":219,"48":220,"49":221,"50":223,"51":224,"52":226,"54":230,"55":231,"56":234,"57":235,"58":237,"59":238,"60":239,"61":242,"62":245,"63":246,"64":247,"65":250,"66":253,"67":254,"68":255,"69":272,"70":280,"71":281,"72":286,"73":303,"74":311,"75":334,"76":348,"77":353,"78":365,"79":370,"80":373,"81":378,"82":379,"83":388,"84":389,"85":411,"86":416,"87":421,"88":422,"89":424,"90":427,"91":436,"92":451,"93":453,"95":455,"96":456,"97":459,"98":460,"99":461,"100":462,"101":463,"102":466,"103":467,"104":471,"105":472,"106":473,"107":474,"108":475,"109":476,"110":477,"111":478,"112":480,"113":481,"114":483,"115":484,"116":487,"117":488,"118":490,"119":491,"120":492,"121":493,"122":494,"123":495,"124":496,"125":497,"126":498,"127":499,"128":500,"129":503,"130":504,"131":505,"132":507,"133":508,"134":511,"135":512,"136":513,"137":517,"138":519,"139":522,"140":533,"141":535,"142":536,"143":537,"144":538,"145":546,"146":547,"147":548,"148":550,"149":556,"150":557,"151":558,"152":568,"153":575,"154":580,"155":585,"156":586,"157":589,"158":591,"159":595,"160":600,"161":601,"162":604,"163":611,"164":616,"165":622,"166":624,"167":632,"168":641,"169":642,"170":650,"171":656,"172":658,"173":660,"174":662,"175":666,"176":668,"177":679,"178":680,"179":681,"180":687,"181":690,"182":693,"183":703,"184":707,"185":710,"186":711,"187":714,"188":720,"189":726,"190":727,"191":737,"192":739,"193":741,"194":753,"195":755,"196":758,"197":765,"198":768,"199":770,"200":775,"201":776,"202":777,"204":779,"205":782,"206":783,"207":785,"208":810,"209":813,"210":818,"211":839,"212":845,"213":847,"214":855,"215":862,"216":866,"217":867,"218":870,"219":876,"220":879,"221":880,"222":881,"223":883,"224":884,"225":896,"226":908,"227":911,"228":918,"229":919,"230":921,"231":925,"232":934,"233":938,"234":941,"235":946,"236":953,"237":961,"238":963,"239":972,"240":974,"241":984,"242":988,"243":999,"244":1004,"245":1005,"246":1008,"247":1009,"248":1013,"249":1017,"250":1018,"251":1020,"252":1021},{"0":163,"1":164,"2":196,"3":200,"4":202,"5":210,"6":211,"7":212,"8":214,"9":215,"10":222,"11":225,"12":227,"13":228,"14":232,"15":233,"16":236,"17":241,"18":243,"19":248,"20":249,"21":251,"22":297,"23":408,"24":437,"25":447,"26":457,"27":458,"28":465,"29":468,"30":469,"31":470,"32":479,"33":482,"34":485,"35":486,"36":489,"37":501,"38":502,"39":506,"40":509,"41":510,"42":516,"43":525,"44":527,"45":529,"46":540,"47":542,"48":545,"49":554,"50":566,"51":572,"52":573,"53":581,"54":590,"55":592,"56":597,"57":625,"58":630,"59":631,"60":638,"61":661,"62":673,"63":676,"65":691,"66":694,"67":695,"68":697,"69":699,"70":706,"71":724,"72":725,"73":733,"74":740,"75":756,"76":759,"77":761,"78":766,"79":789,"80":797,"81":800,"82":801,"83":808,"84":815,"85":823,"86":834,"87":844,"88":851,"89":864,"90":865,"91":871,"92":872,"93":873,"94":891,"95":894,"96":897,"97":901,"98":915,"99":917,"100":926,"101":948,"102":949,"103":956,"104":960,"105":965,"106":985,"107":992,"108":996,"109":1001,"110":1006,"111":1015},{"0":58,"1":240,"2":244,"3":252,"4":464,"5":532,"6":549,"7":555,"8":560,"9":561,"10":562,"11":563,"12":564,"13":569,"15":584,"16":593,"18":618,"19":619,"20":626,"21":627,"22":629,"23":633,"24":634,"25":635,"26":648,"27":649,"28":657,"29":672,"30":686,"31":708,"32":721,"33":735,"34":747,"35":762,"36":767,"37":780,"38":788,"39":791,"40":794,"41":795,"42":796,"43":804,"44":821,"45":822,"46":830,"47":831,"48":863,"49":889,"50":898,"51":899,"52":900,"53":905,"54":906,"55":928,"56":929,"57":930,"58":936,"59":944,"61":952,"62":959,"63":962,"64":970,"65":976,"66":1011,"67":1012,"68":1014},{"0":514,"1":520,"2":541,"3":565,"4":577,"5":588,"6":651,"7":652,"9":667,"10":674,"11":685,"12":696,"14":743,"15":746,"16":748,"17":749,"18":792,"19":798,"20":820,"21":850,"22":859,"23":861,"24":875,"25":886,"26":910,"27":922,"28":931,"29":942,"30":964,"31":966,"32":987,"33":994,"34":995,"35":1002,"36":1007,"37":1022},{"0":515,"2":523,"3":544,"4":559,"5":571,"6":603,"7":605,"8":606,"9":620,"10":621,"11":665,"12":678,"13":700,"15":729,"16":731,"17":742,"18":751,"19":771,"20":802,"21":805,"22":806,"24":836,"25":853,"26":856,"27":869,"28":882,"29":903,"30":939,"31":951,"32":971,"33":983,"35":1016},{"0":526,"1":534,"2":596,"3":613,"4":615,"5":617,"6":663,"7":688,"8":719,"9":745,"10":763,"11":764,"12":781,"13":786,"14":799,"15":809,"16":814,"17":827,"18":842,"20":885,"22":923,"23":933,"24":943,"25":993,"26":997,"27":1023},{"0":531,"2":628,"3":643,"4":655,"5":682,"6":701,"8":732,"9":812,"10":828,"11":858,"12":877,"13":878,"14":890,"15":920,"16":927},{"0":587,"3":671,"4":705,"5":754,"6":790,"7":793,"8":887,"9":932,"10":1000},{"3":874,"4":979},[],[],[]]