[{"0":0,"1":2,"2":3,"3":4,"5":6,"6":7,"7":9,"8":10,"9":11,"10":12,"12":14,"13":15,"14":16,"16":18,"17":19,"20":23,"21":25,"22":26,"23":27,"24":29,"25":30,"26":32,"27":33,"28":34,"29":35,"30":37,"31":38,"33":40,"34":43,"35":44,"36":45,"37":46,"39":48,"40":49,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":61,"52":62,"53":63,"54":64,"55":66,"56":67,"57":69,"58":70,"59":72,"60":73,"61":74,"62":76,"63":77,"64":79,"65":80,"66":81,"67":82,"68":83,"69":85,"70":87,"71":88,"72":89,"73":90,"74":92,"75":93,"77":99,"78":100,"81":103,"82":104,"83":105,"85":107,"87":109,"88":110,"89":111,"90":113,"91":115,"92":116,"93":117,"95":119,"96":120,"97":121,"98":122,"99":123,"100":124,"101":125,"102":128,"103":130,"104":131,"105":132,"106":133,"107":134,"108":136,"109":137,"110":139,"111":140,"112":141,"113":142,"115":144,"116":145,"118":147,"119":148,"120":149,"121":150,"124":153,"125":155,"126":156,"127":158,"128":159,"130":161,"131":162,"132":164,"134":166,"135":168,"136":169,"137":170,"138":171,"139":172,"140":173,"141":174,"142":175,"143":176,"144":177,"145":178,"146":179,"147":181,"148":182,"149":184,"150":185,"151":186,"152":187,"153":188,"154":189,"155":190,"156":191,"157":192,"158":193,"159":194,"160":195,"161":196,"162":198,"163":199,"164":201,"165":203,"166":204,"167":205,"168":206,"169":207,"170":208,"171":209,"172":210,"173":211,"174":212,"175":213,"176":214,"177":215,"178":216,"179":217,"180":218,"181":219,"182":220,"183":222,"184":223,"185":224,"186":225,"187":227,"188":229,"189":231,"190":232,"191":233,"192":234,"193":235,"194":236,"195":237,"196":240,"197":241,"198":242,"199":243,"200":245,"201":246,"202":248,"203":249,"204":250,"205":251,"206":252,"207":254,"208":255,"209":256,"213":261,"214":262,"216":264,"217":266,"218":267,"219":268,"220":270,"222":273,"223":274,"226":277,"228":279,"229":280,"230":281,"231":282,"232":284,"233":285,"234":286,"235":287,"236":288,"237":289,"238":290,"239":292,"242":295,"244":297,"245":298,"246":300,"247":301,"248":302,"249":304,"250":305,"251":306,"252":307,"253":309,"254":310,"255":311,"258":314,"260":317,"261":318,"262":319,"263":321,"264":323,"265":324,"266":325,"267":326,"268":327,"269":328,"270":329,"271":330,"273":333,"274":334,"275":335,"276":338,"277":339,"278":340,"279":343,"280":344,"281":346,"282":347,"283":351,"284":352,"285":353,"286":354,"287":355,"288":356,"289":357,"290":358,"291":359,"292":360,"293":361,"297":366,"298":369,"299":370,"300":371,"301":372,"302":373,"303":374,"304":376,"305":377,"306":378,"307":379,"308":380,"310":382,"311":383,"312":384,"313":385,"314":386,"315":388,"316":390,"317":392,"318":395,"319":396,"320":397,"322":399,"323":401,"325":403,"329":408,"330":409,"331":410,"332":411,"333":412,"334":413,"338":420,"339":424,"340":425,"341":426,"342":427,"343":428,"344":430,"345":432,"346":433,"347":435,"348":436,"350":438,"351":439,"352":440,"353":441,"354":442,"355":446,"356":447,"357":448,"359":454,"360":455,"362":458,"363":459,"364":460,"365":461,"366":462,"367":463,"368":464,"369":465,"370":466,"371":467,"372":468,"373":470,"374":471,"375":472,"376":474,"377":476,"378":477,"379":478,"380":479,"381":480,"382":482,"383":483,"384":485,"385":486,"386":487,"387":488,"388":489,"390":491,"391":492,"392":493,"393":494,"394":495,"395":496,"396":497,"397":498,"398":499,"399":500,"400":501,"401":502,"402":503,"403":507,"404":509,"405":511,"406":515,"407":518,"408":520,"409":521,"410":523,"411":525,"412":526,"413":527,"414":533,"415":535,"416":536,"417":537,"418":541,"419":544,"420":547,"421":550,"422":551,"423":555,"424":556,"425":557,"426":558,"427":560,"428":563,"429":565,"430":566,"431":575,"432":576,"433":577,"434":578,"435":580,"436":585,"437":587,"438":590,"439":593,"440":595,"441":598,"442":603,"443":604,"444":606,"445":607,"446":610,"447":611,"448":613,"449":614,"450":615,"451":618,"452":619,"453":621,"454":622,"455":631,"456":632,"457":633,"458":634,"459":635,"460":636,"461":638,"462":639,"463":641,"464":644,"465":648,"466":650,"467":652,"468":655,"469":660,"470":663,"471":664,"472":669,"473":672,"474":673,"475":674,"476":675,"477":678,"478":682,"479":683,"480":685,"481":686,"482":690,"483":691,"484":693,"485":696,"486":698,"487":699,"488":701,"489":705,"490":708,"491":709,"492":711,"493":713,"494":717,"495":718,"496":719,"497":725,"498":727,"499":729,"500":730,"501":731,"502":733,"503":734,"504":735,"505":737,"506":740,"507":742,"508":743,"509":744,"510":745,"511":747,"512":748,"513":749,"514":751,"515":752,"516":755,"517":756,"518":762,"519":763,"520":767,"521":768,"522":770,"523":772,"524":773,"525":778,"526":779,"527":780,"528":782,"529":786,"530":795,"531":796,"532":798,"533":803,"534":804,"535":806,"536":811,"537":812,"538":813,"539":815,"540":816,"541":817,"542":818,"543":820,"544":821,"545":823,"546":825,"547":827,"548":828,"549":829,"550":835,"551":836,"552":837,"553":840,"554":846,"555":848,"556":849,"557":850,"558":853,"559":854,"560":857,"561":858,"562":859,"563":861,"564":865,"565":866,"566":867,"567":868,"568":871,"569":873,"570":875,"571":876,"572":878,"573":885,"574":886,"575":890,"576":893,"577":895,"578":896,"579":897,"580":901,"581":902,"582":904,"583":905,"584":907,"585":908,"586":914,"587":916,"588":917,"589":920,"590":923,"591":925,"592":926,"593":930,"594":932,"595":933,"596":938,"597":939,"598":940,"599":941,"600":943,"601":950,"602":951,"603":954,"604":955,"605":961,"606":963,"607":967,"608":968,"609":976,"610":977,"611":982,"612":983,"613":985,"614":986,"615":987,"616":988,"617":989,"618":990,"619":991,"620":996,"621":997,"622":999,"623":1000,"624":1005,"625":1006,"626":1007,"627":1008,"628":1009,"629":1011,"630":1013,"631":1015,"632":1018,"633":1019,"634":1022},{"0":1,"1":8,"2":21,"3":24,"4":28,"5":31,"6":41,"7":42,"8":60,"9":68,"10":75,"11":78,"12":84,"13":86,"14":91,"15":95,"16":96,"17":97,"18":112,"19":126,"20":127,"21":129,"22":138,"23":154,"24":157,"25":163,"26":167,"27":183,"28":197,"29":202,"30":226,"31":228,"32":230,"33":244,"34":247,"35":253,"36":260,"37":265,"38":269,"39":272,"40":283,"41":291,"42":299,"43":308,"44":316,"45":320,"46":322,"47":331,"48":337,"49":341,"50":348,"51":349,"52":350,"53":362,"54":367,"55":368,"56":375,"57":387,"58":389,"59":391,"60":393,"61":394,"62":400,"63":407,"64":418,"65":421,"66":422,"67":423,"68":429,"69":431,"70":434,"71":443,"72":444,"73":445,"74":451,"75":452,"76":453,"77":456,"78":469,"79":473,"80":475,"81":481,"82":484,"83":504,"84":505,"85":506,"86":508,"87":510,"88":513,"89":516,"90":517,"91":519,"92":524,"93":528,"94":529,"95":531,"97":538,"98":540,"99":543,"100":545,"101":546,"102":549,"103":562,"104":568,"105":571,"106":572,"107":579,"108":582,"109":583,"110":584,"111":586,"112":588,"113":591,"114":592,"115":596,"116":597,"117":599,"118":601,"119":608,"120":609,"121":612,"122":620,"123":623,"124":624,"125":626,"126":629,"127":637,"128":640,"129":642,"130":643,"131":645,"132":646,"133":649,"134":656,"135":657,"136":658,"137":662,"138":671,"139":676,"141":679,"142":680,"143":684,"144":687,"145":689,"146":692,"147":695,"148":706,"150":710,"151":714,"152":721,"153":722,"154":724,"155":738,"156":739,"157":741,"158":757,"159":758,"160":759,"161":761,"162":765,"163":766,"164":769,"165":775,"166":776,"167":777,"168":784,"169":785,"170":787,"171":788,"172":789,"173":790,"174":792,"175":797,"176":800,"177":802,"178":808,"179":814,"180":826,"181":830,"182":839,"183":841,"184":844,"185":845,"186":852,"187":856,"188":860,"189":870,"190":872,"191":874,"192":877,"193":880,"194":884,"195":887,"196":888,"197":889,"198":894,"199":900,"200":906,"201":909,"202":910,"203":911,"204":915,"205":929,"206":931,"207":934,"208":937,"209":942,"210":945,"211":947,"212":948,"213":949,"214":952,"215":953,"216":958,"217":962,"218":965,"219":966,"220":973,"221":978,"222":981,"223":984,"224":993,"225":998,"226":1001,"227":1002,"228":1003,"229":1004,"230":1010,"231":1014,"232":1020,"233":1023},{"0":36,"1":65,"2":71,"3":94,"4":114,"5":135,"6":180,"7":200,"8":221,"9":238,"10":239,"11":303,"12":336,"13":342,"14":345,"15":414,"16":419,"17":450,"18":534,"19":542,"21":554,"22":569,"23":573,"24":581,"25":600,"27":654,"28":665,"29":666,"30":667,"32":702,"33":703,"34":723,"35":728,"36":732,"37":736,"38":753,"39":764,"40":771,"41":774,"42":799,"43":801,"45":832,"46":843,"47":847,"48":851,"49":864,"50":879,"51":883,"52":891,"53":898,"55":918,"56":936,"57":969,"58":970,"60":974,"61":975,"62":995},{"0":553,"1":561,"2":567,"3":589,"4":627,"5":628,"7":781,"8":831,"9":882,"11":912,"12":921,"14":994,"15":1017},{"2":625,"3":668,"5":760,"6":833,"7":863,"9":924,"10":935,"13":964},{"5":712,"6":720,"8":899,"9":972,"10":1016},{"2":616,"4":694,"5":791,"11":922},{"0":530,"6":862},{"0":559,"2":651},{"1":514,"2":522,"5":783},{"2":746},{"3":957},[]]