[{"0":1,"1":2,"2":3,"3":4,"4":6,"6":11,"7":12,"8":13,"9":14,"11":19,"12":20,"13":22,"15":24,"17":26,"18":27,"19":28,"20":29,"21":30,"22":31,"23":32,"24":33,"25":34,"26":35,"27":36,"28":37,"29":39,"30":40,"31":42,"32":43,"33":45,"34":46,"35":47,"36":48,"37":49,"38":50,"39":51,"40":52,"41":53,"42":55,"43":57,"44":59,"46":62,"47":63,"48":64,"49":66,"50":67,"51":70,"52":71,"53":74,"54":76,"55":77,"56":80,"57":83,"58":84,"59":85,"60":86,"61":87,"62":88,"63":89,"64":90,"65":91,"66":92,"67":93,"68":95,"69":96,"70":97,"71":98,"72":99,"73":100,"74":101,"75":102,"76":104,"78":107,"79":109,"80":110,"81":111,"82":112,"83":113,"84":114,"85":116,"86":119,"87":120,"88":121,"89":122,"90":124,"91":125,"92":126,"93":127,"94":128,"95":129,"96":130,"97":131,"98":134,"99":135,"100":136,"101":137,"102":138,"103":139,"104":140,"105":142,"106":143,"107":144,"108":145,"109":146,"111":148,"112":150,"113":156,"114":157,"115":158,"116":159,"117":160,"118":162,"119":164,"120":165,"121":166,"122":168,"123":171,"124":172,"125":174,"126":175,"127":176,"128":178,"129":179,"130":180,"131":185,"132":186,"133":187,"134":188,"135":189,"136":190,"137":192,"138":193,"139":194,"140":195,"141":196,"142":197,"143":198,"144":199,"145":200,"146":201,"147":202,"148":203,"149":204,"150":206,"151":207,"152":208,"153":209,"154":211,"155":213,"156":214,"157":215,"158":216,"159":217,"160":218,"161":219,"162":220,"163":221,"164":222,"165":223,"166":224,"167":225,"168":226,"169":227,"170":228,"171":229,"172":230,"173":232,"174":233,"175":234,"176":235,"177":236,"178":237,"179":238,"180":239,"181":241,"182":242,"183":243,"184":244,"185":245,"186":246,"187":247,"188":248,"189":249,"190":250,"191":252,"192":253,"193":254,"194":255,"195":256,"196":257,"197":259,"199":261,"200":263,"201":264,"203":267,"205":269,"206":270,"207":271,"208":272,"209":274,"210":275,"211":276,"212":277,"213":279,"214":280,"215":282,"216":283,"217":284,"218":285,"219":286,"220":287,"221":288,"222":289,"223":291,"225":293,"226":295,"227":296,"228":297,"229":298,"230":299,"231":300,"232":301,"233":302,"235":305,"237":308,"238":310,"239":311,"240":312,"241":313,"242":314,"243":315,"244":317,"245":319,"247":321,"248":322,"249":323,"250":324,"251":325,"252":326,"253":328,"254":329,"255":330,"256":331,"257":332,"258":333,"259":334,"260":336,"261":337,"262":338,"263":340,"264":341,"265":342,"266":343,"267":345,"268":347,"269":348,"270":349,"271":350,"272":351,"273":352,"274":353,"275":355,"276":356,"277":357,"278":358,"279":359,"280":360,"281":361,"282":363,"283":364,"284":365,"285":366,"286":368,"287":369,"288":370,"289":371,"290":372,"291":373,"292":374,"293":375,"294":376,"296":378,"297":379,"298":381,"299":382,"300":383,"301":384,"302":385,"303":386,"304":387,"305":389,"306":390,"307":392,"308":393,"309":394,"310":395,"311":396,"312":397,"313":398,"314":399,"315":400,"316":402,"318":404,"319":405,"320":406,"321":407,"322":409,"323":410,"324":411,"325":412,"326":413,"327":414,"328":415,"329":416,"330":418,"331":419,"333":421,"334":423,"335":424,"336":425,"337":426,"338":427,"339":428,"340":429,"341":430,"342":431,"343":432,"344":433,"345":434,"346":435,"347":437,"348":438,"349":440,"350":441,"351":442,"352":444,"353":447,"354":448,"355":449,"356":450,"357":451,"358":452,"359":455,"360":456,"361":457,"362":458,"363":459,"364":460,"365":462,"366":464,"367":465,"368":466,"369":467,"370":468,"371":469,"372":470,"373":471,"374":473,"375":474,"376":478,"377":479,"378":480,"379":482,"380":483,"381":485,"382":487,"383":488,"384":489,"385":491,"386":492,"387":493,"388":494,"389":496,"390":497,"391":498,"392":499,"393":501,"394":502,"395":503,"396":504,"397":505,"398":509,"399":510,"400":511,"401":517,"402":522,"403":525,"404":528,"405":529,"406":530,"407":538,"408":541,"409":549,"410":553,"411":560,"412":566,"413":567,"414":573,"415":578,"416":582,"417":585,"418":586,"419":587,"420":591,"421":593,"422":594,"423":597,"424":602,"425":603,"426":604,"427":605,"428":606,"429":607,"430":608,"431":609,"432":612,"433":614,"434":615,"435":622,"436":628,"437":630,"438":633,"439":635,"440":636,"441":638,"442":639,"443":642,"444":645,"445":646,"446":649,"447":651,"448":653,"449":657,"450":661,"451":664,"452":665,"453":667,"454":668,"455":670,"456":677,"457":678,"458":680,"459":681,"460":682,"461":689,"462":691,"463":697,"464":704,"465":712,"466":713,"467":714,"468":715,"469":717,"470":720,"471":724,"472":737,"473":740,"474":742,"475":743,"476":744,"477":745,"478":758,"479":759,"480":762,"481":763,"482":764,"483":765,"484":768,"485":769,"486":770,"487":773,"488":784,"489":789,"490":790,"491":791,"492":792,"493":796,"494":800,"495":809,"496":814,"497":816,"498":818,"499":819,"500":821,"501":822,"502":825,"503":830,"504":835,"505":841,"506":842,"507":852,"508":853,"509":857,"510":862,"511":866,"512":872,"513":874,"514":879,"515":883,"516":887,"517":890,"518":892,"519":893,"520":897,"521":900,"522":906,"523":907,"524":914,"525":917,"526":922,"527":930,"528":931,"529":933,"530":936,"531":946,"532":950,"533":954,"534":955,"535":958,"536":959,"537":963,"538":964,"539":965,"540":967,"541":968,"542":972,"543":974,"544":975,"545":976,"546":977,"547":980,"548":983,"549":985,"550":987,"551":989,"552":995,"553":997,"554":998,"555":1002,"556":1005,"557":1008,"558":1010,"559":1012,"560":1013,"561":1019,"562":1021},{"0":0,"1":5,"2":7,"3":9,"4":10,"5":16,"6":17,"7":18,"8":21,"9":38,"10":41,"11":44,"12":54,"13":56,"14":58,"15":61,"16":65,"17":69,"18":72,"19":73,"20":75,"21":78,"22":79,"23":81,"24":82,"25":94,"26":103,"27":106,"28":108,"29":115,"30":117,"31":118,"32":123,"33":132,"34":133,"35":149,"36":151,"37":152,"38":153,"39":154,"40":161,"41":163,"42":167,"43":169,"44":173,"45":177,"46":181,"47":182,"48":183,"49":191,"50":205,"51":210,"52":212,"53":231,"54":258,"55":262,"56":266,"57":273,"58":278,"59":281,"60":290,"61":294,"62":303,"63":307,"64":309,"65":316,"66":335,"67":339,"68":346,"69":362,"70":367,"71":388,"72":391,"73":401,"74":408,"75":417,"76":422,"77":436,"78":439,"79":443,"80":445,"81":446,"82":454,"83":461,"84":463,"85":472,"86":475,"87":476,"88":477,"89":484,"90":486,"91":490,"92":495,"93":500,"94":506,"95":507,"96":518,"97":527,"98":535,"99":539,"100":546,"101":547,"102":552,"103":554,"104":558,"105":559,"106":562,"107":564,"108":569,"109":570,"110":579,"111":583,"112":590,"113":592,"114":595,"115":610,"116":613,"117":617,"118":621,"119":634,"120":641,"121":643,"122":658,"123":659,"124":660,"125":669,"126":671,"127":672,"128":675,"129":679,"130":683,"131":686,"132":690,"133":692,"134":696,"135":699,"136":701,"137":716,"138":719,"139":721,"140":722,"141":723,"142":728,"143":729,"144":732,"145":735,"146":736,"147":738,"148":747,"149":748,"150":749,"151":750,"152":751,"153":752,"154":753,"155":760,"156":761,"157":774,"158":776,"159":780,"160":783,"161":786,"162":787,"163":801,"164":802,"165":805,"166":806,"167":810,"168":815,"169":823,"170":826,"171":828,"172":829,"173":831,"175":840,"176":845,"177":846,"178":849,"179":850,"180":851,"181":854,"182":858,"183":859,"185":861,"186":864,"187":865,"188":868,"189":875,"190":876,"191":880,"192":885,"193":889,"194":891,"195":894,"196":898,"197":899,"198":901,"199":903,"200":905,"201":908,"202":910,"203":912,"204":915,"205":919,"206":921,"207":928,"208":934,"209":937,"210":938,"211":939,"212":945,"213":947,"214":961,"215":966,"216":969,"217":978,"218":979,"219":982,"220":988,"221":994,"222":996,"223":999,"224":1000,"225":1001,"226":1003,"227":1011,"228":1014,"229":1015,"230":1020,"231":1023},{"0":68,"1":141,"2":155,"3":170,"4":184,"5":240,"6":251,"7":318,"8":327,"9":344,"10":354,"11":380,"12":453,"13":481,"14":508,"15":512,"16":513,"17":519,"18":531,"19":532,"20":544,"21":545,"22":551,"23":561,"24":563,"25":565,"26":568,"27":571,"28":584,"29":598,"30":616,"31":623,"32":626,"33":632,"34":656,"35":676,"36":685,"37":694,"38":695,"39":698,"40":708,"41":709,"42":726,"43":733,"44":739,"45":754,"46":757,"47":767,"48":777,"49":788,"50":799,"51":808,"52":820,"53":837,"54":847,"55":855,"57":869,"58":881,"59":882,"60":888,"61":909,"62":913,"63":923,"64":924,"65":926,"66":941,"67":948,"68":949,"69":957,"70":960,"71":962,"72":970,"73":973,"74":992,"75":1009,"76":1018,"77":1022},{"0":516,"1":536,"3":556,"4":574,"5":596,"6":611,"7":629,"8":640,"9":647,"10":655,"11":662,"12":687,"13":703,"14":705,"15":706,"16":718,"17":725,"18":741,"19":746,"20":755,"21":756,"22":775,"23":779,"24":782,"25":798,"26":811,"27":863,"28":873,"29":884,"30":916,"31":929,"32":942,"33":984,"34":1006,"35":1017},{"0":514,"2":548,"3":575,"4":577,"5":599,"6":619,"7":625,"8":627,"10":688,"11":710,"12":730,"13":766,"14":812,"15":813,"16":824,"18":836,"19":839,"20":843,"21":895,"22":896,"23":932,"24":935,"25":943,"26":952,"27":956,"28":981,"29":1007},{"1":550,"2":580,"3":588,"4":601,"5":620,"6":624,"7":631,"8":654,"9":663,"10":693,"11":702,"12":731,"13":772,"14":778,"15":794,"16":804,"17":807,"18":870,"19":878,"20":925,"21":927,"22":944,"23":953,"24":971,"25":990,"26":991},[520,524,572,600,648,650,673,674,684,707,771,781,785,797,817,833,834,848,856,871,918],{"0":515,"1":521,"2":533,"4":557,"5":576,"6":644,"7":711,"8":727,"9":795,"10":803,"11":844,"12":886,"13":902,"14":911,"15":920,"16":993,"17":1016},{"0":534,"1":542,"2":589,"3":734,"4":838,"5":904,"6":940,"8":1004},[526,540,652,700,877],[581],[618,793],[]]