[{"0":0,"1":2,"2":5,"4":8,"5":9,"6":10,"8":12,"9":13,"10":14,"11":15,"13":17,"15":20,"18":23,"19":24,"20":26,"21":27,"22":28,"26":34,"27":35,"28":36,"30":38,"31":39,"32":40,"33":41,"35":43,"39":48,"40":50,"42":52,"43":53,"45":58,"46":59,"47":60,"48":61,"49":63,"50":65,"51":66,"52":67,"53":68,"56":71,"57":72,"58":73,"59":75,"63":80,"65":82,"66":83,"67":84,"68":85,"70":87,"71":88,"72":89,"73":90,"74":91,"75":93,"76":94,"77":95,"78":97,"81":100,"82":101,"83":102,"85":107,"86":108,"87":109,"88":110,"89":111,"90":112,"91":113,"92":116,"94":119,"95":120,"96":121,"97":123,"98":125,"99":126,"100":127,"101":128,"102":129,"103":131,"104":133,"105":135,"106":136,"107":137,"108":138,"109":139,"110":140,"111":141,"112":142,"114":144,"115":145,"116":146,"117":148,"118":149,"119":150,"120":151,"121":152,"122":153,"124":155,"125":157,"126":159,"127":160,"128":161,"129":162,"130":166,"131":167,"133":171,"134":172,"135":173,"136":174,"137":175,"139":177,"140":180,"141":181,"142":182,"144":184,"145":185,"146":186,"147":187,"148":188,"149":192,"150":193,"151":245,"152":246,"153":249,"154":250,"155":251,"157":254,"159":257,"160":258,"161":259,"163":262,"164":263,"165":264,"167":266,"168":267,"169":268,"170":271,"171":274,"172":275,"173":276,"174":277,"175":278,"178":283,"179":284,"181":286,"184":290,"185":291,"187":294,"188":295,"191":305,"192":306,"193":308,"195":310,"197":312,"198":313,"199":315,"200":317,"202":319,"203":320,"206":324,"207":325,"208":327,"211":330,"213":334,"214":335,"215":337,"216":338,"217":340,"218":341,"219":343,"220":344,"223":348,"225":350,"227":353,"228":354,"229":355,"231":357,"233":360,"236":366,"237":368,"238":369,"239":370,"241":373,"242":374,"243":375,"244":376,"245":378,"246":379,"247":380,"248":381,"249":382,"250":383,"252":385,"253":386,"254":387,"256":391,"258":393,"259":394,"260":395,"262":397,"263":398,"264":399,"267":402,"268":403,"269":404,"270":405,"271":406,"272":407,"274":409,"275":410,"276":411,"277":412,"278":413,"279":414,"280":415,"281":416,"282":417,"283":418,"284":419,"285":421,"286":422,"287":423,"288":425,"289":426,"290":427,"291":428,"292":429,"294":434,"295":435,"296":436,"297":437,"299":492,"300":495,"301":496,"302":497,"305":525,"308":540,"309":544,"310":549,"311":550,"312":551,"313":553,"314":558,"316":570,"317":571,"318":577,"319":579,"322":594,"326":619,"327":620,"328":625,"329":631,"330":635,"331":646,"332":650,"333":653,"334":656,"335":657,"336":658,"337":659,"338":660,"339":664,"340":669,"341":678,"342":679,"343":684,"345":692,"346":694,"347":696,"349":706,"350":708,"351":711,"352":712,"353":716,"354":718,"355":722,"356":724,"357":727,"358":728,"359":731,"360":735,"361":739,"362":740,"363":743,"364":744,"365":748,"366":756,"368":759,"369":760,"370":762,"371":765,"372":767,"373":770,"374":781,"375":796,"377":802,"378":810,"379":817,"380":818,"381":823,"382":828,"383":830,"384":833,"386":858,"387":859,"388":865,"390":876,"392":888,"393":893,"394":895,"395":900,"396":904,"397":907,"398":909,"399":920,"400":933,"403":951,"405":974,"406":975},{"1":3,"2":4,"4":19,"8":49,"9":54,"10":55,"11":56,"15":76,"16":92,"17":96,"18":103,"19":104,"20":105,"22":115,"24":122,"26":130,"27":132,"28":134,"29":147,"30":156,"31":158,"32":163,"34":165,"35":168,"36":169,"37":178,"39":189,"43":195,"44":196,"47":201,"50":204,"51":206,"53":208,"54":210,"55":211,"56":212,"57":213,"58":214,"61":217,"62":218,"63":219,"65":226,"66":227,"67":228,"68":229,"69":231,"70":232,"71":233,"74":238,"75":239,"76":241,"77":242,"80":247,"81":248,"82":253,"83":256,"84":260,"85":269,"86":270,"88":273,"90":281,"92":292,"93":298,"95":301,"96":302,"97":303,"100":316,"101":326,"102":332,"104":336,"105":339,"106":342,"107":346,"108":359,"109":362,"110":364,"112":367,"113":372,"114":377,"115":388,"116":389,"117":420,"118":424,"119":430,"120":432,"121":433,"122":438,"123":439,"124":442,"125":445,"126":447,"128":449,"129":451,"130":453,"131":454,"134":460,"136":464,"137":466,"138":467,"140":470,"142":472,"143":473,"144":475,"145":478,"146":479,"147":480,"148":482,"149":483,"150":484,"151":485,"152":487,"153":490,"154":491,"155":500,"156":502,"157":513,"158":517,"159":518,"160":521,"161":528,"163":532,"165":536,"166":537,"167":554,"169":566,"170":569,"171":572,"172":574,"173":576,"174":580,"175":582,"176":585,"177":588,"178":591,"179":593,"181":602,"182":614,"183":615,"184":623,"185":624,"186":627,"187":628,"188":629,"190":640,"191":642,"192":643,"194":654,"195":676,"196":682,"197":688,"198":689,"199":691,"200":700,"201":701,"202":707,"203":714,"204":726,"205":733,"206":755,"207":764,"208":766,"209":774,"210":776,"211":777,"212":779,"214":786,"215":787,"216":788,"217":789,"218":790,"219":791,"220":793,"221":795,"222":798,"223":804,"224":808,"225":809,"226":813,"227":815,"228":821,"229":822,"230":826,"231":832,"232":838,"233":840,"234":845,"235":846,"236":849,"237":850,"238":852,"239":855,"240":860,"241":868,"242":869,"243":871,"244":873,"245":877,"246":878,"247":883,"248":884,"249":886,"250":889,"251":894,"252":903,"253":905,"254":910,"255":911,"256":912,"257":917,"258":927,"260":931,"261":935,"262":936,"263":938,"264":942,"265":943,"266":944,"267":948,"268":949,"269":954,"270":955,"271":956,"272":957,"273":958,"274":963,"275":965,"276":968},{"0":25,"1":197,"3":205,"4":209,"5":220,"6":223,"7":224,"9":230,"10":236,"11":237,"13":297,"14":314,"15":323,"16":351,"18":441,"19":443,"20":444,"21":446,"22":452,"23":455,"25":458,"26":461,"28":465,"29":468,"31":476,"32":481,"33":486,"34":488,"35":494,"36":498,"37":501,"38":505,"39":516,"40":520,"41":523,"42":527,"43":538,"44":545,"45":552,"46":563,"47":565,"49":578,"50":583,"51":587,"52":596,"54":605,"55":633,"56":634,"57":644,"58":645,"59":665,"60":671,"61":672,"62":673,"63":680,"64":683,"65":687,"66":698,"68":713,"69":732,"70":736,"71":737,"72":738,"73":749,"74":752,"75":754,"76":780,"77":783,"78":801,"80":811,"81":827,"82":831,"83":834,"84":843,"85":844,"86":848,"87":851,"88":863,"89":864,"90":881,"91":892,"93":901,"94":902,"95":908,"96":913,"97":919,"98":924,"99":930,"100":941,"101":950,"102":961,"103":967,"104":969,"105":976},{"0":222,"1":450,"2":477,"3":503,"4":509,"5":514,"6":599,"7":610,"8":616,"9":630,"11":670,"12":725,"13":753,"15":800,"16":812,"17":825,"18":867,"19":875,"20":880,"21":918,"22":923,"23":932,"24":939,"25":946,"26":953,"27":972},{"0":524,"1":557,"2":559,"3":584,"4":589,"5":608,"6":618,"7":636,"8":641,"9":662,"10":703,"11":720,"12":723,"13":734,"14":746,"15":768,"16":771,"17":782,"19":847,"20":898,"21":915,"22":916},{"0":507,"1":526,"2":547,"3":595,"4":597,"5":613,"7":622,"8":626,"9":663,"10":666,"11":674,"12":686,"13":697,"14":702,"15":705,"16":758,"17":778,"18":803,"19":805,"20":816,"21":862,"22":887,"23":890,"24":925,"25":977},[493,510,511,529,543,562,573,586,598,632,655,668,681,710,717,741,750,824,854,866,879,891,899,921,945,952,966],{"0":506,"1":515,"2":519,"3":530,"4":542,"5":548,"6":561,"7":609,"8":617,"9":651,"10":652,"11":693,"12":721,"13":729,"14":742,"15":745,"16":751,"17":763,"18":773,"19":775,"20":792,"21":806,"22":820,"23":835,"24":837,"25":839,"27":856,"28":896,"29":926,"30":937},{"0":499,"1":534,"2":560,"3":568,"4":592,"5":603,"6":606,"7":607,"8":638,"9":639,"10":690,"11":719,"12":730,"13":761,"14":794,"15":799,"16":814,"17":853,"18":861,"20":922,"21":929,"22":964,"23":970},[522,556,564,661,675,677,695,709,747,819,857,872,882,940,962],{"0":512,"2":647,"4":715,"5":874,"7":960},{"0":546,"1":769,"3":829,"4":906}]