[{"0":0,"1":1,"3":3,"4":4,"5":5,"6":6,"7":7,"9":9,"10":10,"11":11,"13":13,"14":14,"16":16,"17":17,"18":18,"19":19,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":27,"27":29,"28":30,"29":31,"30":32,"31":34,"32":35,"33":36,"34":37,"35":38,"36":39,"37":40,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"52":56,"54":58,"55":59,"56":60,"58":62,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"69":73,"70":74,"71":75,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"81":86,"82":87,"83":88,"84":89,"85":90,"86":91,"87":92,"88":93,"89":94,"90":95,"91":96,"92":97,"93":98,"94":100,"95":101,"96":102,"97":103,"99":105,"102":108,"103":109,"104":110,"105":111,"106":112,"107":113,"108":114,"110":116,"112":118,"114":120,"115":121,"117":123,"118":125,"119":126,"120":127,"121":128,"122":129,"123":130,"124":131,"125":132,"126":133,"128":135,"129":136,"130":137,"132":140,"133":141,"134":142,"135":143,"136":144,"137":145,"138":146,"140":148,"141":149,"142":151,"143":152,"144":153,"145":154,"146":155,"148":157,"149":158,"150":159,"151":160,"152":161,"154":163,"155":164,"156":165,"157":166,"159":168,"160":170,"161":172,"162":173,"163":174,"164":175,"165":176,"167":179,"168":180,"169":181,"171":183,"172":184,"173":185,"174":186,"175":187,"176":188,"177":189,"179":191,"180":192,"181":194,"182":195,"183":196,"184":197,"185":198,"186":199,"187":200,"188":201,"189":202,"190":203,"191":204,"192":205,"194":208,"195":209,"196":210,"197":211,"198":212,"199":213,"200":214,"201":215,"202":216,"203":217,"204":218,"206":221,"208":224,"209":225,"210":226,"211":227,"212":228,"213":229,"214":230,"215":231,"216":232,"217":234,"218":235,"219":236,"220":237,"221":238,"222":239,"223":240,"224":241,"225":244,"226":245,"227":246,"228":247,"229":248,"230":249,"231":250,"232":251,"233":252,"234":253,"235":254,"236":255,"238":257,"240":259,"241":260,"242":261,"243":262,"244":263,"245":264,"246":265,"247":266,"248":267,"249":269,"250":270,"251":271,"252":272,"254":274,"255":275,"256":276,"257":277,"258":278,"259":279,"260":280,"261":281,"262":282,"263":283,"264":284,"265":285,"266":286,"268":288,"269":289,"270":290,"271":291,"272":292,"273":293,"274":294,"275":295,"276":296,"277":297,"278":298,"280":300,"281":301,"282":302,"283":304,"284":305,"285":306,"286":307,"287":308,"288":309,"292":313,"293":314,"294":315,"295":316,"296":317,"297":318,"298":319,"299":321,"300":322,"301":323,"303":325,"304":326,"305":327,"306":328,"307":329,"308":330,"309":331,"310":333,"311":334,"312":335,"313":336,"314":337,"317":340,"318":341,"319":343,"320":345,"321":346,"322":347,"323":348,"324":349,"325":350,"326":351,"327":352,"328":353,"329":354,"330":356,"331":357,"332":358,"333":359,"334":360,"336":362,"338":364,"339":365,"341":367,"342":368,"343":369,"344":370,"345":371,"346":372,"347":373,"348":374,"349":375,"350":376,"352":378,"353":379,"354":380,"356":383,"357":384,"359":386,"360":387,"361":388,"362":389,"363":390,"364":391,"365":392,"366":393,"367":394,"368":395,"369":396,"370":397,"371":398,"372":400,"373":401,"374":402,"375":403,"376":404,"377":405,"378":406,"379":407,"380":408,"381":409,"382":410,"383":411,"384":412,"385":413,"386":414,"387":415,"388":416,"389":417,"390":418,"391":419,"392":420,"393":421,"395":423,"396":424,"397":425,"398":426,"399":427,"400":428,"401":429,"402":430,"403":431,"404":432,"405":433,"406":434,"407":435,"408":436,"409":437,"410":438,"411":439,"412":440,"413":441,"414":442,"415":444,"416":452,"417":455,"419":458,"420":460,"421":462,"422":463,"423":466,"424":469,"425":472,"427":477,"428":484,"429":485,"430":489,"431":492,"432":496,"433":498,"434":501,"435":507,"436":509,"437":510,"438":511,"439":512,"440":513,"441":519,"442":520,"443":528,"444":530,"445":531,"446":533,"447":535,"448":536,"449":541,"450":542,"451":545,"452":546,"453":547,"454":550,"455":551,"456":552,"457":566,"458":567,"459":568,"460":569,"461":570,"462":573,"463":574,"464":575,"465":577,"466":578,"467":585,"468":588,"469":593,"470":594,"472":599,"473":603,"474":604,"475":605,"476":606,"477":608,"478":610,"479":615,"480":619,"481":620,"482":624,"483":625,"484":630,"485":631,"486":636,"487":639,"488":641,"489":642,"490":649,"491":655,"492":660,"493":670,"494":671,"495":679,"496":685,"497":689,"498":693,"499":694,"500":696,"501":697,"502":707,"503":708,"504":710,"505":714,"506":716,"507":718,"508":726,"509":728,"510":732,"511":740,"512":741,"513":748,"514":751,"515":753,"516":755,"517":760,"518":765,"519":774,"520":776,"521":777,"522":778,"523":782,"524":783,"525":784,"526":793,"527":794,"528":804,"529":808,"530":810,"531":813,"532":814,"533":817,"534":822,"535":823,"536":828,"537":829,"538":831,"539":836,"540":841,"541":842,"542":843,"543":845,"544":848,"545":853,"546":855,"548":858,"549":860,"550":862,"551":867,"552":869,"553":872,"554":873,"555":877,"556":879,"557":880,"558":884,"559":885,"560":887},{"0":20,"1":28,"2":33,"3":77,"4":99,"5":124,"6":138,"7":150,"8":169,"9":171,"10":178,"11":193,"12":207,"13":220,"14":222,"15":233,"16":242,"17":243,"18":268,"19":303,"20":320,"21":332,"22":342,"23":344,"24":355,"25":381,"26":399,"27":443,"28":445,"29":447,"30":451,"31":453,"33":470,"34":479,"35":480,"36":482,"37":486,"38":488,"39":490,"40":491,"41":500,"42":502,"43":503,"44":514,"45":517,"46":526,"47":529,"48":557,"49":565,"50":576,"51":579,"52":581,"53":584,"54":590,"55":597,"56":600,"57":609,"58":612,"59":626,"60":632,"61":638,"63":650,"65":662,"66":664,"67":667,"68":668,"69":672,"70":674,"71":676,"72":680,"73":682,"74":684,"75":692,"76":695,"77":698,"78":701,"80":703,"81":705,"82":706,"83":713,"84":717,"85":719,"86":723,"87":724,"88":729,"89":734,"90":736,"91":737,"92":743,"93":744,"94":746,"95":749,"96":762,"97":763,"98":764,"99":766,"100":767,"101":771,"102":772,"103":779,"104":781,"105":785,"106":786,"107":788,"108":791,"109":792,"110":796,"111":800,"112":802,"113":803,"114":809,"115":811,"116":816,"117":826,"118":827,"119":835,"120":844,"121":847,"122":849,"123":854,"124":856,"125":864,"126":866,"127":870,"128":871,"129":874,"130":875,"131":888},{"0":41,"1":446,"3":459,"4":468,"5":499,"6":504,"7":505,"9":516,"10":518,"11":525,"12":537,"13":543,"14":548,"15":558,"16":564,"17":583,"18":586,"19":596,"20":601,"21":611,"22":627,"23":628,"24":633,"25":640,"26":645,"27":648,"28":654,"29":659,"31":683,"32":715,"33":720,"35":742,"36":750,"37":752,"38":757,"39":773,"40":787,"41":790,"42":815,"43":818,"44":819,"45":820,"46":839,"48":852,"49":868,"50":889},{"0":454,"1":508,"2":534,"3":556,"4":561,"5":563,"6":607,"7":616,"8":617,"9":618,"10":634,"11":646,"12":647,"13":666,"15":688,"16":709,"17":727,"18":768,"19":780,"20":789,"21":795,"22":830,"23":851,"24":863,"25":865},{"0":449,"1":471,"2":493,"3":494,"4":495,"5":539,"6":544,"8":555,"9":559,"10":587,"11":591,"12":602,"13":629,"14":643,"15":661,"16":669,"17":711,"18":721,"19":722,"20":754,"21":770,"22":801,"23":825,"25":876},{"0":448,"1":450,"2":464,"3":467,"4":497,"6":522,"7":572,"8":592,"9":691,"10":739,"11":745,"12":759,"13":805,"14":833,"15":837},{"0":515,"1":527,"2":553,"3":571,"4":651,"5":652,"7":675,"8":681,"9":738,"10":761,"11":798,"12":799,"14":886},{"0":461,"1":487,"2":524,"3":635,"4":656,"5":673,"9":861,"10":883},{"0":473,"1":538,"2":540,"4":657,"5":690,"6":704,"7":733,"8":769,"9":797},{"0":474,"1":483,"2":580,"4":621,"5":658,"6":731},{"0":677,"2":712,"3":807,"4":812,"5":821,"6":824,"7":846},{"0":475,"1":478,"3":613,"4":623,"5":637,"6":686,"7":687,"8":699,"9":756},[481,560,562,598,735,859,882],[622,747],{"1":834,"2":878},{"1":725},[]]