[{"0":1,"1":2,"2":4,"3":5,"4":6,"5":7,"6":8,"7":9,"8":10,"10":12,"12":15,"13":16,"14":17,"16":19,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":43,"38":44,"39":45,"40":46,"41":47,"42":50,"43":51,"44":52,"45":53,"46":54,"47":55,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":65,"56":66,"57":67,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"65":75,"66":76,"67":77,"69":79,"70":80,"71":81,"72":82,"73":83,"74":84,"75":85,"76":86,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":95,"84":96,"85":100,"86":101,"87":102,"88":103,"89":104,"90":105,"91":106,"92":107,"93":108,"94":109,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"103":119,"104":120,"105":121,"106":122,"107":124,"108":125,"109":126,"110":128,"111":129,"112":131,"113":132,"114":133,"115":134,"116":135,"117":137,"118":138,"119":139,"120":141,"121":143,"122":144,"124":146,"125":147,"127":149,"128":152,"129":153,"130":154,"131":155,"132":156,"133":158,"134":159,"135":162,"137":165,"138":166,"139":168,"140":169,"141":170,"142":171,"143":172,"144":173,"146":175,"147":176,"148":179,"149":180,"151":183,"152":184,"153":185,"154":186,"155":187,"156":188,"157":189,"158":190,"159":191,"160":192,"161":193,"162":194,"163":195,"164":196,"165":197,"166":198,"167":199,"168":200,"169":202,"170":204,"171":205,"172":206,"173":208,"174":209,"175":210,"176":211,"177":212,"178":213,"179":214,"180":215,"181":216,"182":217,"183":218,"184":219,"185":221,"186":222,"187":223,"188":224,"189":225,"190":227,"191":228,"192":229,"193":230,"194":231,"195":232,"196":233,"197":235,"198":236,"199":237,"200":238,"201":239,"202":240,"203":241,"204":242,"205":244,"206":245,"207":246,"208":247,"209":248,"210":250,"211":251,"212":252,"213":254,"214":255,"216":257,"217":258,"218":259,"219":260,"220":261,"221":262,"222":263,"223":264,"224":265,"225":266,"226":267,"227":269,"228":271,"229":272,"230":274,"231":276,"232":277,"233":278,"234":280,"235":281,"236":282,"237":283,"238":284,"239":285,"240":286,"241":287,"242":288,"243":289,"244":290,"245":291,"246":292,"247":293,"248":296,"249":297,"250":298,"252":300,"253":302,"255":304,"256":305,"257":306,"258":307,"259":308,"260":309,"261":311,"262":312,"263":313,"264":314,"265":316,"266":317,"267":318,"268":319,"269":320,"270":321,"271":322,"272":323,"273":324,"274":325,"275":327,"276":328,"277":329,"278":330,"279":331,"280":332,"281":333,"282":334,"283":335,"284":336,"285":337,"286":338,"287":339,"288":340,"289":342,"290":343,"291":344,"292":345,"293":346,"294":347,"295":348,"296":349,"297":350,"298":352,"299":353,"300":355,"301":356,"302":357,"303":358,"304":359,"305":360,"306":361,"307":362,"308":363,"309":364,"311":366,"312":367,"313":368,"314":369,"315":370,"316":371,"317":372,"318":373,"319":374,"321":376,"322":377,"323":378,"324":379,"327":385,"328":387,"329":388,"330":389,"331":390,"332":391,"333":392,"334":393,"335":394,"336":395,"337":396,"338":398,"339":400,"340":401,"341":402,"342":403,"343":404,"344":405,"345":406,"346":407,"347":410,"348":411,"349":412,"350":413,"351":414,"352":416,"353":417,"355":420,"356":421,"357":422,"358":423,"359":424,"360":425,"363":429,"364":430,"365":431,"366":434,"367":435,"368":436,"369":437,"370":439,"371":440,"372":441,"373":442,"374":443,"375":444,"376":445,"377":446,"378":448,"379":449,"380":450,"381":451,"382":452,"383":453,"384":454,"385":455,"386":456,"387":457,"388":458,"389":460,"390":461,"391":462,"392":464,"393":465,"394":466,"395":467,"396":468,"397":469,"398":470,"399":471,"400":472,"401":473,"402":474,"403":475,"404":476,"405":477,"406":478,"407":479,"408":480,"409":481,"410":482,"411":483,"412":484,"413":485,"414":486,"415":487,"416":488,"417":489,"418":490,"419":491,"420":492,"421":495,"422":496,"423":497,"424":498,"425":499,"426":500,"427":502,"428":503,"429":505,"430":506,"431":508,"432":510,"433":512,"434":514,"435":515,"436":517,"437":520,"438":521,"439":522,"440":524,"441":526,"442":527,"443":529,"444":530,"445":533,"446":535,"447":537,"448":540,"449":544,"450":546,"451":547,"452":548,"453":549,"454":553,"455":554,"456":556,"457":558,"458":560,"459":561,"460":566,"461":567,"462":569,"463":571,"464":572,"465":573,"466":575,"467":577,"468":578,"469":584,"470":585,"471":586,"472":587,"473":589,"474":591,"475":592,"476":593,"477":596,"478":600,"479":602,"480":603,"481":604,"482":607,"483":608,"484":609,"485":613,"486":615,"487":618,"488":620,"489":622,"490":624,"491":626,"492":628,"493":630,"494":634,"495":635,"496":636,"497":637,"498":640,"499":646,"500":648,"501":649,"502":650,"503":651,"504":654,"505":655,"506":658,"508":664,"509":670,"510":673,"511":674,"512":675,"513":677,"514":679,"515":680,"516":681,"517":682,"518":686,"519":688,"520":690,"521":691,"522":692,"523":694,"524":695,"525":697,"526":698,"527":700,"528":701,"529":705,"530":706,"531":708,"532":712,"533":718,"534":722,"535":723,"536":728,"537":729,"538":730,"539":731,"540":732,"541":733,"542":734,"543":737,"544":738,"545":739,"546":740,"547":741,"548":743,"549":744,"550":745,"551":746,"552":750,"553":751,"554":754,"555":756,"556":757,"557":758,"558":764,"559":766,"560":767,"562":770,"563":771,"564":773,"565":774,"566":778,"567":780,"568":782,"569":783,"570":785,"571":787,"572":788,"573":790,"574":791,"575":793,"576":795,"577":798,"578":799,"579":800,"580":801,"581":802,"582":805,"583":807,"584":808,"585":810,"586":811,"587":815,"588":816,"589":818,"590":821,"591":822,"592":823,"593":828,"594":829,"595":832,"596":833,"597":834,"598":835,"599":836,"600":841,"601":845,"602":846,"604":850,"605":852,"606":853,"607":855,"608":856,"609":857,"610":858,"611":860,"612":861,"613":865,"614":866,"615":868,"616":873,"617":876,"618":878,"619":879,"620":882,"621":889,"622":892,"623":895,"624":896,"625":898,"626":905,"627":912,"628":913,"629":919,"630":922,"631":923,"632":927,"633":928,"634":929,"635":931,"636":932,"637":933,"638":936,"639":937,"640":940,"641":941,"642":944,"643":945,"644":946,"645":947,"646":949,"647":950,"648":951,"649":952,"650":953,"651":954,"652":955,"653":957,"654":960,"655":963,"656":964,"657":968,"658":977,"659":980,"660":984,"661":985,"662":986,"663":987,"664":992,"665":993,"666":994,"667":995,"668":996,"669":997,"670":998,"671":999,"672":1000,"673":1004,"674":1006,"675":1009,"676":1011,"677":1016,"678":1018,"679":1020,"680":1022,"681":1023},{"0":0,"1":3,"2":28,"3":42,"4":48,"5":49,"6":57,"7":64,"8":87,"9":94,"10":97,"11":98,"12":99,"13":123,"14":127,"15":130,"16":136,"17":140,"18":142,"19":150,"20":151,"21":157,"22":160,"23":161,"24":164,"25":167,"26":177,"27":178,"28":201,"29":203,"30":207,"31":220,"32":226,"33":243,"34":249,"35":253,"36":270,"37":273,"38":275,"39":279,"40":295,"42":310,"43":315,"44":326,"45":341,"46":351,"47":354,"48":381,"50":384,"51":386,"52":397,"53":399,"55":409,"56":415,"57":418,"58":428,"59":432,"60":433,"61":438,"62":447,"63":459,"64":463,"65":493,"66":494,"67":501,"68":504,"69":507,"70":511,"71":516,"72":518,"73":519,"74":528,"75":531,"76":534,"77":536,"78":539,"79":542,"80":550,"81":551,"82":552,"83":555,"84":557,"85":559,"86":562,"87":564,"88":565,"89":568,"90":570,"91":574,"92":576,"93":582,"94":594,"95":599,"96":601,"97":605,"98":606,"99":611,"100":614,"101":623,"102":625,"103":631,"104":632,"105":633,"106":638,"107":639,"108":641,"109":642,"110":643,"111":657,"112":660,"113":661,"114":662,"115":665,"116":667,"117":668,"118":669,"119":672,"120":684,"121":685,"122":687,"123":696,"124":702,"125":703,"126":704,"127":709,"128":713,"129":714,"130":716,"131":717,"132":720,"133":721,"134":724,"135":727,"136":735,"137":742,"138":747,"139":748,"140":749,"141":752,"142":753,"143":755,"144":759,"145":760,"146":761,"147":762,"149":772,"150":775,"151":776,"152":781,"153":784,"154":789,"155":796,"156":797,"157":804,"158":806,"160":813,"161":814,"162":824,"163":825,"164":827,"165":831,"166":837,"167":840,"168":842,"169":843,"170":847,"171":851,"172":854,"173":859,"174":869,"175":870,"176":872,"177":874,"178":875,"179":877,"180":883,"181":884,"182":885,"183":886,"184":887,"185":890,"186":891,"187":893,"188":897,"189":901,"190":902,"191":903,"192":904,"193":906,"194":908,"195":917,"196":924,"197":925,"198":930,"199":934,"200":935,"201":939,"202":942,"203":943,"204":956,"205":961,"206":962,"207":965,"208":966,"209":969,"210":971,"211":972,"212":973,"213":974,"214":976,"215":983,"216":988,"217":1001,"218":1003,"219":1005,"220":1008,"221":1010,"222":1013,"223":1014,"224":1015,"225":1017},{"0":14,"1":110,"2":181,"3":234,"4":268,"5":294,"6":509,"7":580,"8":581,"10":590,"11":595,"12":612,"13":617,"14":619,"15":644,"16":645,"17":647,"18":652,"19":656,"20":689,"21":693,"22":711,"23":725,"24":736,"25":763,"26":792,"27":794,"28":809,"29":817,"30":819,"31":838,"32":862,"33":871,"34":888,"35":914,"36":918,"37":926,"38":938,"39":959,"40":967,"41":979,"42":989,"43":1002,"44":1007},[41,523,532,545,563,579,629,659,779,803,880,911,921,975,990,991,1012],[588,598,621,627,676,707,710,719,786,826,844,864,920,982],[543,610,653,666,683,881,900,907,909,910],[541,768,830,863,916,958,970,1021],[678,699,894,899,915,981,1019],[616,777,820,867,948,978],{"1":525,"2":538,"3":715,"4":726,"5":848},[597,839],[]]