[{"0":0,"1":1,"2":2,"3":4,"5":6,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":21,"19":22,"21":24,"22":25,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"30":34,"31":35,"32":36,"34":40,"35":41,"36":42,"37":43,"38":44,"39":46,"40":47,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":68,"62":69,"63":70,"65":72,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"74":84,"75":85,"76":86,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"87":97,"89":99,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":111,"101":113,"102":114,"103":115,"105":119,"106":120,"107":122,"108":124,"109":125,"110":126,"111":128,"112":129,"113":130,"114":131,"115":132,"116":133,"118":135,"119":136,"120":137,"121":138,"122":139,"123":140,"124":141,"126":143,"127":144,"128":145,"129":146,"130":147,"131":148,"132":149,"133":150,"134":151,"135":152,"137":154,"138":155,"139":156,"140":157,"141":158,"142":159,"143":160,"144":161,"145":162,"147":164,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"156":174,"157":175,"158":176,"159":178,"160":179,"161":180,"162":182,"163":183,"164":184,"165":185,"166":186,"167":187,"168":188,"169":190,"170":192,"171":193,"172":194,"173":195,"174":197,"175":198,"176":200,"177":202,"178":203,"179":204,"180":205,"181":206,"182":207,"183":208,"184":209,"185":210,"186":211,"187":212,"188":214,"189":215,"190":216,"191":217,"192":218,"193":220,"194":221,"195":222,"196":223,"197":224,"198":226,"199":227,"200":228,"201":229,"202":230,"203":231,"204":232,"205":233,"206":235,"207":236,"208":238,"209":240,"210":242,"211":243,"213":247,"214":248,"215":249,"216":250,"217":251,"218":252,"219":253,"220":254,"221":255,"222":256,"224":259,"225":260,"226":262,"227":263,"228":264,"229":265,"230":266,"231":267,"232":268,"233":269,"234":270,"235":271,"236":272,"237":273,"238":274,"239":275,"240":277,"241":278,"242":280,"244":283,"245":284,"246":285,"247":286,"248":287,"249":288,"251":290,"253":292,"254":293,"255":294,"256":295,"257":296,"258":297,"259":299,"260":300,"261":301,"262":302,"263":303,"264":304,"265":305,"266":306,"267":307,"269":310,"270":311,"271":312,"273":314,"274":315,"275":317,"276":318,"277":319,"278":320,"279":321,"280":322,"282":324,"283":325,"284":326,"285":327,"286":328,"288":331,"290":333,"291":334,"292":335,"293":336,"295":338,"296":339,"297":341,"299":343,"300":344,"301":346,"302":349,"303":350,"304":351,"305":352,"306":353,"307":354,"308":355,"309":356,"310":357,"311":358,"312":359,"313":360,"314":361,"315":362,"316":366,"317":367,"318":368,"319":369,"320":370,"322":372,"323":373,"324":375,"325":376,"326":377,"327":378,"329":380,"330":381,"331":382,"332":383,"333":384,"334":386,"335":387,"336":388,"337":389,"338":390,"339":391,"340":392,"342":394,"343":395,"344":396,"345":397,"346":398,"348":400,"349":401,"350":403,"351":405,"352":406,"353":407,"354":408,"356":410,"357":412,"358":415,"359":416,"361":418,"362":419,"363":420,"364":421,"366":423,"367":425,"368":426,"370":429,"371":430,"372":431,"373":432,"374":433,"375":434,"376":435,"377":436,"378":437,"379":438,"381":442,"382":443,"383":444,"384":445,"385":447,"386":448,"387":449,"388":450,"389":451,"390":453,"391":455,"392":456,"393":457,"394":458,"395":459,"396":460,"397":461,"398":462,"399":464,"400":465,"401":467,"402":468,"403":469,"404":470,"405":471,"406":472,"407":473,"408":474,"409":475,"410":476,"411":477,"412":478,"413":479,"414":480,"415":481,"416":482,"417":484,"418":485,"419":486,"420":487,"421":489,"422":490,"423":491,"424":492,"425":494,"426":496,"427":497,"428":499,"429":500,"430":503,"431":504,"432":505,"433":506,"434":507,"435":508,"436":509,"437":510,"438":512,"439":517,"440":519,"441":526,"442":527,"443":530,"444":537,"445":544,"446":545,"447":547,"448":549,"449":553,"450":561,"451":564,"452":568,"453":578,"454":580,"455":583,"456":584,"457":589,"458":593,"459":594,"460":596,"461":601,"462":606,"463":607,"464":618,"465":623,"466":627,"467":630,"468":635,"469":638,"470":639,"471":644,"472":647,"473":649,"474":656,"475":659,"476":664,"477":667,"478":668,"479":672,"480":674,"481":676,"482":677,"483":679,"484":684,"485":686,"486":687,"487":690,"488":691,"489":701,"490":706,"491":711,"492":715,"493":723,"494":724,"495":729,"496":731,"497":733,"498":735,"499":738,"500":742,"501":746,"502":750,"503":752,"504":754,"505":758,"506":759,"507":764,"508":766,"509":772,"510":774,"511":776,"512":778,"513":779,"514":781,"515":787,"516":793,"517":798,"518":801,"519":806,"520":807,"521":808,"522":810,"523":813,"524":819,"525":826,"526":828,"527":832,"528":834,"529":839,"530":845,"531":846,"532":847,"533":852,"534":853,"535":855,"536":856,"537":859,"538":860,"539":869,"540":873,"541":875,"542":876,"543":881,"544":882,"545":890,"546":892,"547":893,"548":898,"549":899,"550":902,"551":905,"552":907,"553":911,"554":912,"555":913,"556":921,"557":922,"558":925,"559":928,"560":929,"561":933,"562":935,"563":939,"564":947,"565":948,"566":950,"567":951,"568":953,"569":954,"570":956,"571":957,"572":958,"573":959,"574":961,"575":962,"576":971,"577":973,"578":977,"579":978,"580":979,"581":987,"582":988,"583":990,"584":1014,"585":1015,"586":1016,"587":1018,"588":1019,"589":1022},{"0":3,"1":8,"2":20,"3":26,"4":37,"5":39,"6":45,"7":73,"8":74,"9":75,"10":100,"11":110,"12":117,"13":118,"14":121,"15":123,"16":127,"17":177,"18":181,"19":189,"20":196,"21":199,"22":201,"23":213,"24":225,"25":234,"26":237,"27":239,"28":241,"29":245,"30":246,"31":258,"32":261,"33":276,"34":279,"35":281,"36":298,"37":309,"38":316,"39":330,"40":340,"41":345,"42":347,"43":348,"44":363,"45":365,"46":374,"47":385,"48":402,"49":404,"50":411,"51":413,"52":414,"53":424,"54":428,"55":439,"56":441,"57":446,"58":452,"59":454,"60":463,"61":466,"62":483,"63":488,"64":493,"65":495,"66":498,"67":501,"68":502,"69":511,"70":515,"71":516,"72":520,"73":521,"74":536,"76":542,"77":548,"78":550,"80":562,"81":563,"82":565,"83":567,"85":571,"86":572,"87":579,"88":581,"89":587,"90":592,"91":595,"92":600,"93":602,"94":604,"95":610,"96":620,"97":631,"98":641,"99":653,"100":654,"101":655,"102":660,"103":671,"104":673,"105":680,"106":682,"107":688,"108":694,"109":697,"111":704,"112":709,"113":712,"114":716,"115":718,"116":721,"117":732,"118":737,"119":753,"120":763,"121":768,"122":770,"123":783,"124":784,"125":785,"126":786,"127":789,"128":795,"129":804,"130":812,"131":816,"132":820,"134":836,"135":851,"136":861,"137":862,"138":863,"139":878,"140":879,"141":884,"142":886,"143":897,"144":915,"145":916,"146":917,"147":918,"148":924,"149":927,"150":934,"151":937,"152":941,"153":943,"154":966,"155":976,"157":981,"158":982,"159":986,"160":993,"161":1001,"162":1002,"163":1007,"164":1011,"165":1012,"166":1013,"167":1020},{"0":165,"1":191,"2":219,"3":364,"4":513,"5":525,"6":529,"7":531,"8":546,"9":554,"10":556,"11":558,"12":573,"13":585,"14":591,"15":603,"17":616,"18":621,"19":622,"20":628,"21":658,"22":678,"23":693,"24":707,"25":710,"26":720,"27":748,"28":762,"29":767,"30":773,"31":803,"32":815,"33":817,"34":822,"35":833,"36":842,"37":864,"38":866,"39":870,"40":871,"41":877,"42":887,"43":896,"44":914,"45":920,"46":932,"47":938,"48":942,"49":952,"50":955,"51":968,"52":970,"53":974,"54":994,"55":1000,"56":1021},{"0":523,"1":540,"2":614,"3":624,"6":651,"7":652,"8":657,"9":670,"10":681,"11":685,"12":695,"13":696,"14":705,"15":713,"16":728,"17":761,"18":765,"20":788,"21":791,"22":805,"23":811,"25":821,"26":838,"27":840,"28":850,"29":867,"30":880,"31":885,"32":895,"34":930,"35":931,"36":940,"37":944,"39":949,"40":969,"41":998,"42":1004},{"0":524,"1":552,"2":560,"4":576,"5":586,"6":599,"7":648,"9":699,"10":703,"11":722,"12":744,"13":749,"14":771,"15":790,"16":800,"17":824,"18":831,"19":835,"20":857,"21":858,"22":883,"23":900,"24":906,"27":983,"28":996,"29":1003,"30":1006,"31":1008},{"0":514,"1":533,"2":551,"3":577,"4":588,"6":636,"7":642,"8":717,"9":743,"10":755,"11":757,"12":797,"14":809,"15":825,"16":843,"17":844,"18":872,"19":874,"20":891,"21":894,"22":926,"23":985,"25":999,"26":1010},{"0":522,"1":535,"2":597,"3":617,"4":692,"5":700,"6":702,"8":730,"9":741,"10":751,"11":756,"12":792,"13":796,"14":830,"15":854,"16":946,"17":960,"18":963,"19":989,"20":1023},{"0":534,"2":543,"3":559,"4":608,"5":611,"6":619,"8":662,"9":665,"10":689,"11":740,"12":760,"13":769,"14":777,"15":780,"16":782,"17":794,"18":799,"19":865,"20":868,"21":889,"22":904,"24":923,"25":995,"26":1009},{"0":518,"1":528,"2":532,"3":637,"4":663,"6":727,"7":745,"8":818,"9":888,"10":903,"11":964,"12":965,"13":967,"14":991,"15":1017},{"0":615,"1":626,"3":725,"4":972,"5":984},{"0":538,"3":661,"4":734,"6":848},{"0":609,"5":827,"6":841},{"0":566,"2":575,"3":605,"4":633,"5":640,"6":736,"8":837,"9":849,"10":909,"11":997,"12":1005},{"0":598,"3":669,"4":714,"6":901},[]]