[{"0":0,"1":2,"2":3,"3":4,"4":6,"5":8,"6":9,"8":11,"9":12,"10":13,"11":14,"12":15,"14":17,"15":19,"16":22,"17":23,"18":24,"20":26,"21":27,"22":28,"23":29,"24":30,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"40":46,"41":47,"42":48,"43":49,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":60,"53":61,"54":63,"55":64,"56":65,"57":66,"58":67,"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":86,"74":88,"75":89,"76":90,"77":91,"78":92,"79":93,"80":94,"81":95,"82":96,"83":97,"84":98,"85":99,"86":100,"87":101,"88":102,"89":103,"90":106,"91":108,"92":109,"93":111,"94":112,"95":113,"96":114,"97":115,"98":116,"100":118,"101":119,"102":121,"103":122,"104":123,"105":124,"106":126,"107":127,"108":128,"109":129,"110":130,"111":131,"112":133,"113":134,"114":135,"115":136,"116":137,"117":138,"118":139,"119":140,"120":141,"121":142,"122":143,"123":144,"124":146,"125":148,"126":149,"127":150,"128":151,"129":152,"130":153,"131":154,"132":155,"133":156,"134":157,"135":158,"136":159,"137":160,"139":162,"140":163,"141":166,"142":167,"143":168,"145":171,"147":173,"148":174,"149":175,"150":177,"152":180,"153":181,"154":182,"155":183,"156":185,"157":186,"158":187,"159":188,"160":189,"161":192,"162":193,"163":194,"164":195,"165":196,"166":197,"167":198,"168":200,"169":202,"170":203,"171":204,"172":205,"173":206,"174":207,"175":208,"176":209,"177":210,"178":211,"179":212,"180":213,"181":214,"182":215,"183":216,"184":217,"185":218,"186":219,"187":220,"188":221,"189":222,"190":223,"191":224,"192":225,"193":226,"194":227,"195":228,"196":229,"197":230,"198":232,"199":233,"200":234,"201":235,"202":236,"203":237,"204":238,"205":240,"206":241,"207":242,"208":243,"209":245,"210":246,"211":247,"212":248,"213":249,"214":250,"215":251,"216":252,"217":253,"218":254,"219":256,"220":257,"221":258,"222":259,"223":260,"224":262,"225":263,"226":265,"227":266,"228":267,"229":268,"230":269,"231":270,"232":271,"233":272,"234":273,"235":274,"236":275,"237":277,"238":278,"240":280,"241":281,"242":282,"243":283,"244":284,"245":285,"246":286,"247":287,"248":288,"249":289,"250":290,"251":291,"252":293,"253":294,"254":295,"255":296,"256":297,"257":298,"258":299,"259":300,"261":302,"262":303,"263":304,"264":305,"267":308,"269":310,"270":311,"271":312,"272":313,"273":315,"275":318,"276":319,"277":320,"278":321,"279":323,"280":324,"281":325,"282":326,"284":328,"285":329,"286":330,"287":331,"288":332,"289":334,"290":335,"291":336,"292":337,"293":338,"294":339,"295":340,"296":341,"297":342,"298":344,"299":345,"300":346,"301":347,"302":348,"303":349,"304":350,"305":351,"306":352,"307":353,"308":355,"309":356,"310":358,"311":359,"312":361,"313":362,"314":363,"315":364,"316":365,"317":366,"318":367,"321":370,"322":371,"323":372,"324":373,"325":374,"326":375,"327":376,"328":377,"329":378,"330":379,"331":380,"332":381,"333":382,"334":384,"335":385,"336":387,"337":388,"339":390,"340":391,"341":392,"342":394,"343":396,"344":397,"345":398,"346":399,"347":400,"348":401,"349":403,"350":404,"351":405,"352":406,"353":407,"354":408,"355":409,"356":410,"357":411,"358":412,"359":413,"360":414,"361":415,"362":416,"363":417,"365":421,"366":422,"367":424,"368":425,"369":426,"370":428,"371":429,"372":430,"373":431,"374":432,"375":433,"376":435,"378":439,"379":440,"380":441,"381":442,"382":443,"383":444,"384":445,"385":446,"386":448,"387":449,"388":450,"389":451,"390":452,"391":453,"392":454,"394":456,"395":457,"396":458,"397":459,"398":460,"399":461,"400":462,"401":463,"402":465,"403":466,"404":467,"405":468,"406":469,"407":470,"408":471,"409":472,"410":473,"411":474,"412":475,"413":476,"414":477,"415":478,"416":479,"417":480,"418":481,"419":482,"420":483,"421":484,"422":486,"423":487,"424":488,"425":489,"426":490,"427":491,"428":492,"429":493,"430":494,"431":495,"432":496,"433":498,"434":499,"435":500,"436":502,"437":503,"438":504,"439":505,"440":506,"441":507,"442":508,"443":509,"444":510,"445":511,"446":512,"447":513,"448":514,"449":518,"450":520,"451":521,"452":522,"453":524,"454":525,"455":533,"456":534,"457":535,"458":536,"459":538,"460":539,"461":542,"462":543,"463":544,"464":545,"465":547,"466":554,"467":555,"468":556,"469":559,"470":562,"471":563,"472":565,"473":566,"474":567,"475":568,"476":570,"477":571,"478":576,"479":577,"480":578,"481":579,"482":580,"483":582,"484":583,"485":584,"486":586,"487":587,"488":589,"489":590,"490":594,"491":599,"492":601,"493":603,"494":604,"495":605,"496":607,"497":611,"498":612,"499":613,"500":615,"501":616,"502":617,"503":618,"504":619,"505":620,"506":622,"507":624,"508":630,"509":631,"510":634,"511":635,"512":636,"513":638,"514":640,"515":641,"516":645,"517":647,"518":651,"519":652,"520":653,"521":654,"522":656,"523":658,"524":659,"525":663,"526":664,"527":665,"528":666,"529":667,"530":669,"531":671,"532":672,"533":676,"534":677,"535":678,"536":680,"537":681,"538":682,"539":683,"540":684,"541":686,"542":688,"543":690,"544":691,"545":692,"546":693,"547":698,"548":699,"550":702,"551":705,"552":706,"553":710,"554":711,"555":713,"556":715,"557":717,"558":719,"559":720,"560":721,"561":722,"562":723,"563":726,"564":727,"565":729,"566":730,"567":731,"568":734,"569":735,"570":736,"571":738,"572":739,"573":746,"574":747,"575":752,"576":753,"577":755,"578":756,"579":765,"580":766,"581":768,"582":770,"583":771,"584":772,"585":774,"586":775,"587":776,"588":778,"589":779,"590":780,"591":786,"592":787,"593":789,"594":796,"595":798,"596":799,"597":803,"598":806,"599":808,"600":811,"601":813,"602":814,"603":816,"604":818,"605":819,"606":822,"607":824,"608":826,"609":827,"610":828,"611":833,"612":836,"613":839,"614":841,"615":842,"616":843,"617":844,"618":847,"619":848,"620":849,"621":850,"622":851,"623":853,"624":854,"625":856,"626":862,"627":864,"628":865,"629":866,"630":870,"631":871,"632":872,"633":874,"634":875,"635":877,"636":878,"637":882,"638":884,"639":885,"640":886,"641":887,"642":888,"643":889,"644":892,"645":894,"646":899,"647":900,"648":905,"649":906,"650":907,"651":908,"652":909,"653":910,"654":913,"655":914,"656":916,"657":920,"658":921,"659":924,"660":929,"661":932,"662":933,"663":934,"664":936,"665":937,"666":938,"667":939,"668":940,"669":941,"670":942,"671":943,"672":944,"673":946,"674":947,"675":949,"676":951,"677":952,"678":956,"679":957,"680":958,"681":959,"682":960,"683":961,"684":964,"685":967,"686":971,"687":972,"688":973,"689":981,"690":983,"691":984,"692":986,"693":988,"694":990,"695":993,"696":994,"697":995,"698":996,"699":997,"700":998,"701":1000,"702":1001,"703":1002,"704":1004,"705":1007,"706":1008,"707":1009,"708":1010,"709":1013,"710":1018,"711":1020,"712":1021,"713":1022,"714":1023},{"0":1,"1":5,"2":7,"3":20,"4":21,"5":50,"6":59,"7":62,"8":82,"9":83,"10":84,"11":87,"12":104,"13":105,"14":107,"15":110,"16":120,"17":125,"18":132,"19":145,"20":164,"21":165,"22":170,"23":176,"24":178,"25":190,"26":191,"27":199,"28":201,"29":231,"30":239,"31":244,"32":255,"33":261,"34":264,"35":276,"36":292,"37":314,"38":316,"39":322,"40":333,"41":354,"42":357,"43":360,"44":383,"45":386,"46":393,"47":395,"48":402,"49":419,"50":420,"51":423,"52":427,"53":434,"54":437,"55":438,"56":447,"57":464,"58":485,"59":497,"60":501,"61":515,"62":516,"63":519,"64":523,"65":526,"66":527,"67":528,"68":530,"69":531,"70":532,"71":546,"72":548,"73":550,"74":551,"75":552,"76":557,"77":558,"78":560,"79":561,"80":564,"81":569,"82":573,"83":574,"84":575,"85":581,"86":585,"87":588,"88":595,"90":598,"91":600,"92":602,"93":606,"94":609,"95":614,"96":621,"97":623,"98":625,"99":626,"100":627,"101":628,"102":633,"103":643,"104":646,"105":649,"106":650,"107":655,"108":657,"109":661,"110":662,"111":673,"112":674,"113":687,"114":694,"115":695,"116":696,"117":703,"119":707,"120":708,"121":709,"122":712,"123":716,"124":724,"125":728,"126":732,"127":733,"128":737,"130":745,"131":748,"132":749,"133":750,"134":751,"135":754,"136":757,"137":759,"138":760,"139":761,"140":762,"141":763,"142":764,"143":769,"144":777,"145":781,"146":782,"147":784,"148":785,"149":790,"150":791,"151":792,"152":794,"153":797,"154":801,"155":802,"156":804,"157":805,"158":807,"159":809,"160":810,"161":812,"162":820,"163":823,"164":829,"165":830,"166":831,"167":832,"168":835,"169":837,"170":838,"171":845,"172":846,"173":852,"174":858,"175":863,"176":867,"177":868,"178":869,"179":873,"180":876,"181":879,"182":880,"183":881,"184":883,"185":893,"186":896,"187":897,"188":902,"189":903,"190":911,"191":917,"192":918,"193":919,"194":923,"195":926,"196":930,"197":931,"198":935,"199":945,"200":948,"201":950,"202":953,"203":955,"204":963,"205":965,"206":966,"207":969,"208":970,"209":974,"210":976,"211":978,"212":979,"213":985,"214":999,"215":1003,"216":1005,"217":1006,"218":1011,"219":1012,"220":1015,"221":1016,"222":1019},{"0":18,"1":85,"2":147,"3":184,"4":343,"5":529,"7":572,"8":591,"9":592,"10":608,"11":610,"12":637,"13":639,"14":642,"15":644,"16":660,"17":668,"18":675,"20":718,"21":725,"22":741,"23":783,"24":788,"26":815,"27":817,"28":825,"29":840,"30":857,"31":859,"32":860,"33":895,"34":898,"35":912,"36":915,"37":922,"38":925,"39":927,"40":954,"41":968,"42":977,"43":982,"44":992},{"0":537,"1":540,"3":648,"4":670,"5":685,"7":714,"9":800,"10":821,"11":834,"12":962,"13":989,"14":1014,"15":1017},{"0":553,"2":697,"3":740,"4":742,"5":767,"6":891,"8":980,"9":987},{"1":593,"2":773,"3":793,"4":855,"6":901,"7":904,"8":975},[629,679,890,991],[]]