[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"18":20,"19":21,"20":22,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":31,"28":32,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":50,"45":51,"46":53,"47":54,"48":55,"49":56,"50":58,"51":59,"52":60,"53":61,"54":62,"55":64,"56":65,"57":66,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"75":84,"76":85,"77":86,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":106,"95":107,"96":108,"97":109,"98":110,"99":111,"100":112,"101":113,"102":115,"103":116,"104":117,"105":118,"106":119,"107":121,"108":122,"109":123,"110":124,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":134,"120":135,"121":136,"122":137,"124":139,"125":141,"126":142,"127":143,"128":144,"129":145,"130":146,"131":147,"132":148,"133":149,"134":150,"135":151,"136":152,"137":153,"138":154,"139":155,"140":156,"141":157,"142":158,"143":160,"144":161,"145":162,"146":163,"147":164,"148":165,"149":166,"150":167,"151":168,"153":170,"154":171,"155":172,"156":173,"157":174,"158":175,"159":176,"160":177,"161":178,"162":179,"163":180,"164":181,"165":182,"166":183,"167":184,"169":186,"170":187,"171":188,"172":189,"173":190,"174":191,"175":192,"176":193,"177":194,"178":195,"179":196,"180":199,"181":200,"182":201,"183":202,"185":204,"186":205,"187":206,"189":208,"191":210,"192":211,"193":212,"194":213,"195":214,"196":215,"197":216,"198":217,"199":218,"200":219,"201":220,"202":222,"203":223,"204":224,"205":225,"206":226,"207":227,"208":228,"209":229,"210":230,"211":231,"212":232,"213":233,"214":234,"215":235,"216":236,"217":237,"218":238,"219":239,"220":241,"221":242,"222":243,"223":244,"224":245,"225":246,"226":247,"227":248,"228":249,"229":250,"230":251,"231":252,"232":253,"233":254,"234":255,"235":256,"236":257,"237":258,"238":260,"239":261,"240":263,"241":264,"242":265,"243":266,"244":267,"245":268,"246":269,"247":270,"248":271,"249":272,"250":273,"251":274,"252":275,"253":276,"254":277,"255":278,"256":279,"257":280,"258":281,"259":282,"260":283,"261":284,"262":285,"263":286,"264":287,"265":288,"266":289,"267":290,"268":292,"269":293,"270":295,"271":297,"272":298,"273":299,"274":300,"276":302,"277":303,"278":304,"279":305,"280":306,"281":307,"282":308,"283":309,"284":310,"285":311,"286":312,"287":313,"288":314,"289":315,"290":316,"291":317,"292":318,"293":319,"294":320,"295":321,"296":322,"297":323,"298":324,"299":325,"300":326,"301":327,"302":328,"303":329,"304":330,"306":333,"307":334,"308":335,"309":336,"310":337,"311":338,"313":340,"314":341,"315":342,"316":343,"317":344,"318":345,"319":346,"320":347,"321":348,"322":349,"323":350,"324":351,"325":352,"327":354,"329":357,"330":358,"331":359,"332":360,"333":363,"334":364,"335":365,"336":366,"337":367,"338":368,"339":369,"340":370,"341":371,"342":372,"343":373,"344":374,"345":375,"346":376,"347":377,"348":378,"349":379,"350":380,"351":381,"352":382,"353":383,"354":384,"355":385,"356":386,"357":387,"358":388,"359":389,"360":390,"361":391,"362":392,"363":393,"364":394,"365":395,"366":396,"367":397,"368":398,"369":399,"370":400,"371":402,"372":403,"373":404,"374":405,"375":406,"376":408,"377":409,"378":411,"379":412,"380":413,"381":414,"382":415,"383":416,"384":417,"385":418,"386":419,"387":420,"388":421,"389":422,"390":423,"391":424,"392":426,"393":427,"394":428,"395":429,"396":431,"397":432,"398":433,"399":434,"400":435,"401":436,"402":437,"403":438,"404":440,"405":441,"406":442,"407":443,"408":444,"409":445,"410":446,"411":447,"412":448,"413":449,"414":450,"415":451,"416":452,"417":453,"418":454,"419":455,"420":456,"421":457,"422":458,"423":460,"424":461,"425":462,"426":463,"427":464,"428":466,"429":468,"430":469,"431":470,"432":471,"433":472,"434":473,"435":474,"436":475,"437":476,"438":477,"439":478,"440":480,"441":481,"442":482,"443":483,"444":484,"445":486,"446":487,"447":488,"448":489,"449":490,"450":492,"451":493,"452":494,"453":495,"454":496,"455":497,"456":498,"457":499,"458":501,"459":502,"460":503,"461":504,"462":505,"463":506,"464":507,"465":509,"466":510,"467":511,"468":512,"469":513,"470":514,"471":515,"472":517,"473":518,"474":520,"475":521,"476":522,"477":523,"478":524,"479":525,"480":526,"481":529,"482":530,"483":531,"484":532,"485":534,"486":535,"487":537,"488":541,"489":542,"490":545,"491":547,"492":549,"493":550,"494":551,"495":554,"496":555,"497":559,"498":561,"499":562,"500":563,"501":565,"502":567,"503":569,"504":571,"505":572,"506":573,"507":575,"508":576,"509":577,"510":579,"511":580,"512":583,"513":588,"514":590,"515":593,"516":596,"517":598,"518":600,"519":601,"520":602,"521":605,"522":610,"523":611,"524":612,"525":614,"526":620,"527":623,"528":626,"529":627,"530":630,"531":631,"532":635,"533":638,"534":639,"535":640,"536":646,"537":648,"538":650,"539":655,"540":660,"541":663,"542":664,"543":666,"544":667,"545":671,"546":673,"547":674,"548":676,"549":677,"550":680,"551":682,"552":686,"553":688,"554":689,"555":694,"556":696,"557":698,"558":699,"559":700,"560":707,"561":709,"562":710,"563":711,"564":714,"565":715,"566":716,"567":717,"568":718,"569":721,"570":723,"571":724,"572":725,"573":727,"574":734,"575":736,"576":737,"577":741,"578":742,"579":744,"580":745,"581":748,"582":750,"583":751,"584":753,"585":759,"586":761,"587":763,"588":764,"589":769,"590":770,"591":773,"592":775,"593":776,"594":778,"595":780,"596":781,"597":782,"598":783,"599":785,"600":786,"601":787,"602":788,"603":789,"604":796,"605":799,"606":802,"607":804,"608":805,"609":806,"610":807,"611":808,"612":810,"613":816,"614":818,"615":822,"616":825,"617":831,"618":832,"619":834,"620":835,"621":836,"622":837,"623":839,"624":841,"625":846,"626":851,"627":854,"628":856,"629":857,"630":858,"631":860,"632":862,"633":864,"634":868,"635":869,"636":871,"637":872,"638":877,"639":879,"640":881,"641":883,"642":884,"643":885,"644":886,"645":888,"646":889,"647":890,"648":891,"649":895,"650":896,"651":901,"652":903,"653":906,"654":909,"655":923,"656":925,"657":926,"658":929,"659":930,"660":933,"661":934,"662":936,"663":938,"664":939,"665":948,"666":949,"667":950,"668":952,"669":953,"670":959,"671":963,"672":965,"673":966,"674":968,"675":969,"676":976,"677":977,"678":978,"679":979,"680":982,"681":985,"682":988,"683":989,"684":991,"685":993,"686":994,"687":995,"688":998,"689":1002,"690":1003,"691":1004,"692":1005,"693":1007,"694":1010,"695":1014,"696":1017,"697":1019,"698":1021,"699":1023,"700":1024,"701":1025,"702":1026,"703":1027,"704":1029,"705":1036,"706":1037,"707":1039,"708":1040,"709":1042,"710":1043,"711":1045,"712":1046,"713":1048,"714":1049,"715":1050},{"0":2,"1":10,"2":23,"3":30,"4":42,"5":49,"6":52,"7":57,"8":87,"9":94,"10":105,"11":114,"12":120,"13":133,"14":140,"15":159,"16":197,"17":198,"18":221,"19":240,"20":259,"21":262,"22":291,"23":294,"24":296,"25":331,"26":355,"27":361,"28":362,"29":401,"30":407,"31":410,"32":425,"33":430,"34":439,"35":459,"36":465,"37":467,"38":479,"39":485,"40":491,"41":500,"42":508,"43":516,"44":519,"45":533,"46":540,"47":548,"48":556,"49":557,"50":558,"51":560,"52":564,"53":570,"54":578,"55":585,"56":586,"57":591,"58":597,"59":599,"60":603,"61":604,"62":606,"63":607,"64":608,"65":613,"66":615,"67":616,"68":618,"69":621,"70":622,"71":625,"72":629,"73":633,"74":637,"75":641,"76":642,"77":647,"78":649,"79":651,"80":652,"81":653,"82":654,"83":656,"84":657,"85":661,"86":665,"87":668,"88":669,"89":672,"90":675,"91":678,"92":679,"93":681,"94":683,"95":684,"96":687,"97":691,"98":693,"99":703,"100":704,"101":705,"102":706,"103":708,"104":713,"105":719,"106":722,"107":728,"108":729,"109":730,"110":731,"111":732,"112":733,"113":739,"114":740,"115":743,"116":749,"117":752,"118":757,"119":758,"120":760,"121":762,"122":765,"123":766,"124":768,"125":771,"127":792,"128":795,"129":801,"130":809,"131":811,"132":813,"133":814,"134":817,"135":820,"136":821,"137":823,"138":824,"139":826,"140":827,"141":830,"142":840,"143":844,"144":845,"145":848,"146":852,"147":853,"148":859,"149":861,"150":863,"151":865,"152":867,"153":873,"154":874,"155":875,"156":876,"157":878,"158":880,"159":887,"160":892,"161":898,"162":902,"163":904,"164":905,"165":907,"166":908,"167":911,"168":913,"169":915,"170":916,"171":917,"172":918,"173":920,"174":922,"175":924,"176":927,"177":931,"178":932,"179":935,"180":940,"181":941,"182":943,"183":944,"184":945,"185":946,"186":956,"187":957,"188":961,"189":970,"190":971,"191":974,"192":975,"193":980,"194":981,"195":984,"196":992,"197":996,"198":997,"199":1008,"200":1011,"201":1013,"202":1018,"203":1020,"204":1022,"205":1032,"206":1035,"207":1044,"208":1047,"209":1051},{"0":63,"1":527,"2":536,"3":553,"4":566,"5":574,"6":581,"7":582,"8":584,"9":587,"10":589,"12":636,"13":644,"14":658,"15":685,"16":692,"17":695,"18":697,"19":712,"20":720,"21":726,"22":735,"23":738,"24":746,"25":747,"26":754,"27":756,"28":772,"29":777,"30":779,"31":784,"32":793,"33":794,"34":798,"35":800,"36":803,"37":815,"38":828,"39":829,"40":838,"41":849,"42":850,"43":866,"44":894,"45":897,"47":910,"48":912,"49":914,"50":919,"51":921,"52":928,"53":937,"54":947,"55":951,"56":954,"57":958,"58":960,"59":964,"60":967,"61":972,"62":973,"63":983,"64":986,"65":987,"67":1000,"68":1015,"69":1016,"70":1030,"71":1031,"72":1034,"73":1041,"74":1052,"75":1053},{"1":543,"2":544,"4":552,"5":592,"6":619,"7":628,"8":632,"10":662,"11":670,"12":755,"13":774,"14":812,"15":819,"16":833,"17":843,"18":847,"19":855,"20":870,"21":882,"22":893,"23":942,"24":1001,"25":1009,"26":1028},[609,643,701,955],{"1":624,"2":659},{"0":538,"2":690},{"1":790},[],[]]