[{"0":0,"1":1,"2":2,"3":3,"4":4,"6":6,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"17":18,"18":19,"19":20,"20":21,"21":22,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"30":33,"31":35,"32":36,"33":37,"34":38,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":47,"43":48,"44":49,"45":50,"47":52,"48":53,"49":55,"50":56,"51":58,"52":59,"53":60,"54":61,"56":64,"57":65,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"67":76,"68":78,"69":79,"71":81,"72":82,"73":83,"74":84,"75":85,"76":86,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":97,"87":98,"88":99,"89":101,"90":102,"91":103,"92":104,"93":105,"94":106,"95":107,"96":108,"97":109,"98":110,"99":111,"100":112,"101":113,"102":114,"103":115,"104":117,"105":118,"106":119,"107":120,"109":123,"110":124,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"120":134,"121":135,"122":136,"123":137,"124":138,"125":139,"126":140,"128":143,"129":144,"130":145,"131":146,"133":148,"135":150,"136":151,"137":152,"139":154,"140":155,"141":157,"142":158,"143":159,"144":160,"145":161,"146":162,"147":163,"148":164,"149":165,"150":166,"151":167,"152":168,"153":169,"154":170,"155":171,"156":172,"158":174,"159":175,"160":176,"161":177,"162":178,"163":179,"164":180,"165":181,"166":182,"167":183,"168":184,"169":185,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"177":195,"178":196,"179":197,"180":198,"181":199,"182":200,"183":201,"184":202,"185":203,"186":204,"187":205,"189":207,"190":208,"191":209,"192":211,"193":212,"194":213,"195":214,"196":215,"197":217,"198":218,"199":219,"200":220,"201":222,"202":223,"203":224,"204":225,"205":226,"206":227,"207":228,"208":229,"209":230,"210":231,"211":232,"212":235,"213":236,"214":237,"215":238,"216":239,"217":240,"218":241,"219":242,"220":244,"221":245,"222":246,"223":249,"224":252,"225":253,"226":254,"227":255,"229":257,"230":258,"232":261,"233":262,"235":264,"236":266,"237":267,"238":268,"239":269,"240":271,"241":273,"242":274,"243":275,"244":276,"245":278,"247":280,"248":281,"249":283,"250":284,"251":285,"252":286,"253":287,"254":288,"255":289,"256":290,"257":291,"258":292,"259":293,"260":295,"261":296,"262":297,"263":298,"264":299,"265":300,"266":301,"267":302,"268":303,"269":304,"270":305,"271":306,"272":307,"273":308,"274":309,"276":311,"277":313,"278":314,"279":315,"280":316,"281":317,"282":318,"283":319,"284":320,"285":321,"287":323,"288":324,"289":325,"290":326,"291":327,"292":329,"293":330,"294":331,"295":332,"296":333,"299":336,"300":337,"301":338,"302":340,"303":341,"304":342,"305":343,"306":344,"307":345,"308":346,"309":347,"310":348,"311":349,"312":350,"313":351,"314":352,"315":353,"316":354,"317":356,"318":357,"320":359,"321":361,"322":362,"323":363,"324":364,"325":365,"326":366,"327":367,"328":368,"329":369,"330":371,"331":373,"332":374,"334":376,"336":378,"339":381,"340":382,"341":383,"342":384,"344":387,"346":390,"347":391,"348":392,"349":393,"350":394,"351":395,"353":398,"354":399,"355":400,"356":401,"359":404,"360":405,"361":406,"362":407,"363":409,"364":410,"365":411,"366":412,"367":413,"368":414,"369":415,"370":416,"371":418,"372":419,"373":420,"374":421,"375":422,"376":423,"377":424,"378":425,"379":426,"381":428,"382":429,"383":431,"384":432,"385":433,"386":434,"388":436,"389":437,"390":439,"391":440,"392":441,"393":442,"394":443,"395":444,"396":445,"397":446,"398":447,"399":448,"400":449,"401":451,"402":452,"403":453,"404":454,"405":455,"406":456,"407":457,"408":458,"409":459,"410":460,"411":461,"412":462,"413":463,"414":464,"415":465,"416":466,"417":467,"418":468,"419":469,"420":470,"421":471,"422":472,"423":473,"424":474,"425":475,"426":478,"427":479,"428":480,"429":481,"430":482,"431":483,"432":484,"433":485,"434":487,"435":488,"436":489,"437":490,"438":491,"439":492,"440":493,"441":494,"442":495,"443":496,"444":497,"445":498,"446":499,"447":500,"448":501,"449":502,"450":503,"451":504,"452":505,"453":506,"454":508,"455":509,"456":510,"457":511,"458":513,"459":515,"460":519,"461":520,"462":521,"463":524,"464":526,"465":529,"466":533,"467":534,"468":544,"469":548,"470":550,"471":555,"472":556,"473":560,"474":561,"475":565,"476":566,"477":570,"478":571,"479":572,"480":575,"481":576,"482":577,"483":578,"484":581,"485":582,"486":587,"487":588,"488":590,"489":592,"490":594,"491":595,"492":599,"493":600,"494":601,"495":605,"496":606,"497":609,"498":610,"499":612,"500":613,"501":614,"502":615,"503":623,"504":626,"505":628,"506":635,"507":636,"508":637,"509":642,"510":645,"511":650,"512":651,"513":653,"514":658,"515":659,"516":660,"517":661,"518":662,"519":663,"520":665,"521":667,"522":669,"523":674,"524":679,"525":681,"526":682,"527":685,"528":686,"529":688,"530":693,"531":694,"532":696,"533":697,"534":699,"535":700,"536":702,"537":704,"538":705,"539":712,"540":713,"541":716,"542":722,"543":725,"544":727,"545":729,"546":732,"547":733,"548":734,"549":735,"550":736,"551":740,"552":741,"553":743,"554":749,"555":753,"556":754,"557":755,"558":756,"559":757,"560":760,"561":761,"562":763,"563":764,"564":770,"565":771,"566":774,"567":775,"568":779,"569":781,"570":782,"571":787,"572":793,"573":797,"574":799,"575":800,"576":802,"577":806,"578":811,"579":812,"580":814,"581":821,"582":823,"583":824,"584":826,"585":827,"586":835,"587":836,"588":839,"589":840,"590":844,"591":845,"592":850,"593":852,"594":859,"595":862,"596":866,"597":867,"598":868,"600":872,"601":875,"602":876,"603":877,"604":878,"605":881,"606":882,"607":883,"608":886,"609":890,"610":895,"611":897,"612":898,"613":900,"614":901,"615":903,"616":909,"617":913,"618":914,"619":916,"620":923,"621":925,"622":928,"623":930,"624":932,"625":933,"626":934,"627":935,"628":939,"629":940,"630":945,"631":946,"632":947,"633":948,"634":951,"635":952,"636":953,"637":954,"638":955,"639":956,"640":959,"641":960,"642":963,"643":964,"644":965,"645":967,"646":971,"647":973,"648":982,"649":986,"650":991,"651":996,"652":999,"653":1000,"654":1002,"655":1003,"656":1005,"657":1008,"658":1011,"659":1015,"660":1016,"661":1017,"662":1018,"663":1019,"664":1021,"665":1023},{"0":15,"1":23,"2":31,"3":34,"4":46,"5":54,"6":57,"7":62,"8":66,"9":77,"10":96,"11":100,"12":116,"13":121,"14":142,"15":156,"16":186,"17":187,"18":210,"19":216,"20":221,"21":233,"22":234,"23":243,"24":247,"25":248,"26":250,"27":251,"28":260,"29":265,"30":270,"31":272,"32":277,"33":282,"34":294,"35":312,"36":328,"37":339,"38":355,"39":360,"40":370,"41":372,"42":386,"43":388,"44":396,"45":408,"46":417,"47":430,"48":438,"49":450,"50":476,"51":477,"52":486,"53":507,"54":512,"55":516,"56":517,"57":522,"58":523,"59":525,"60":530,"61":531,"62":535,"63":540,"64":549,"65":553,"66":554,"67":559,"68":562,"69":564,"70":567,"71":569,"72":573,"73":574,"74":579,"75":583,"76":584,"77":585,"78":593,"79":602,"80":607,"81":616,"82":621,"84":624,"85":625,"86":629,"87":632,"88":634,"89":643,"90":644,"91":646,"92":647,"93":652,"94":655,"95":657,"96":668,"97":678,"98":680,"99":683,"100":687,"101":689,"102":690,"103":691,"104":695,"105":698,"106":707,"107":708,"108":709,"109":710,"110":715,"111":721,"112":723,"113":726,"114":739,"115":742,"116":747,"117":748,"118":762,"119":766,"120":773,"121":788,"122":789,"124":792,"125":804,"126":805,"127":808,"128":815,"129":817,"130":822,"131":825,"132":830,"133":832,"134":837,"135":838,"136":849,"137":854,"138":855,"139":856,"140":857,"141":863,"142":864,"143":869,"144":879,"145":880,"146":888,"147":889,"148":892,"149":893,"150":894,"151":899,"152":902,"153":905,"154":908,"155":915,"156":917,"157":918,"158":920,"159":922,"160":926,"161":937,"162":942,"163":944,"164":950,"165":961,"166":975,"167":978,"168":979,"169":985,"170":988,"171":994,"172":995,"173":1004,"174":1010,"175":1013,"176":1020},{"0":527,"1":528,"2":538,"3":546,"4":551,"5":552,"6":603,"7":611,"8":617,"9":631,"10":633,"11":640,"12":649,"13":656,"15":666,"16":676,"17":692,"19":711,"20":714,"21":717,"22":724,"23":728,"24":731,"25":738,"26":746,"27":750,"28":752,"29":767,"30":769,"31":784,"33":820,"34":841,"35":848,"36":851,"37":860,"38":873,"39":891,"40":906,"41":919,"42":927,"43":936,"44":938,"45":972,"46":976,"47":987,"48":989,"49":998},[545,558,608,618,639,648,744,759,778,796,816,819,846,847,865,910,966,970,974,1006,1007,1012],[596,597,604,627,630,638,671,684,703,758,768,772,785,794,885,911,924,929,949,958,980,983,1014],{"0":532,"1":539,"2":557,"3":620,"4":730,"5":737,"6":745,"7":783,"9":807,"10":810,"11":833,"12":861,"13":887,"14":912,"15":969,"16":977,"17":990,"18":992,"19":1001,"20":1009},{"0":514,"2":568,"3":580,"5":719,"6":751,"7":765,"8":786,"10":813,"11":818,"12":828,"13":831,"14":871,"15":884,"16":904,"17":957,"18":984},{"0":518,"2":619,"3":675,"4":718,"6":829,"7":834,"9":858,"10":896,"11":921,"12":931,"13":962,"14":997},{"0":547,"1":591,"2":654,"3":672,"4":677,"7":842,"8":853,"9":874},{"0":542,"1":543,"2":563,"4":780,"5":981,"6":1022},{"1":670,"2":941},{"0":641,"2":968},[536,537],[]]