[{"0":1,"1":2,"2":3,"4":5,"5":6,"6":7,"7":8,"8":10,"9":11,"10":12,"12":14,"13":15,"14":16,"16":18,"19":22,"20":23,"21":24,"22":25,"23":26,"24":28,"25":29,"26":30,"27":31,"29":33,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"40":46,"41":47,"42":48,"43":49,"44":50,"45":53,"46":54,"47":55,"48":56,"49":57,"50":59,"51":61,"52":62,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"60":71,"61":72,"62":73,"63":74,"64":75,"65":77,"66":78,"67":79,"68":80,"69":81,"70":82,"71":83,"72":84,"74":86,"75":87,"76":88,"77":89,"78":90,"79":91,"80":92,"81":93,"82":94,"83":96,"84":97,"85":98,"86":99,"87":100,"88":102,"89":103,"90":104,"91":106,"92":107,"93":109,"94":110,"95":111,"96":112,"97":113,"98":114,"99":115,"100":117,"102":120,"104":122,"105":123,"106":124,"108":127,"109":128,"110":129,"111":131,"112":132,"113":134,"116":137,"117":138,"118":139,"120":142,"122":144,"123":145,"124":146,"126":148,"127":149,"128":151,"129":152,"131":154,"132":155,"133":156,"134":157,"135":159,"136":160,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":167,"144":168,"145":169,"146":170,"147":171,"148":172,"152":177,"153":178,"154":179,"155":180,"156":182,"157":183,"158":184,"159":185,"161":257,"162":258,"163":259,"164":260,"166":262,"167":263,"168":264,"169":265,"170":266,"171":267,"172":268,"173":269,"174":270,"176":272,"177":273,"178":274,"179":275,"180":276,"182":279,"183":280,"185":282,"186":283,"187":284,"188":285,"190":288,"191":289,"193":291,"194":293,"195":295,"197":297,"199":299,"200":300,"202":303,"204":306,"205":307,"206":308,"207":309,"209":311,"210":312,"211":313,"212":314,"213":315,"214":316,"215":317,"216":318,"217":319,"218":320,"219":322,"220":323,"221":324,"222":325,"223":326,"225":329,"226":330,"227":331,"228":332,"229":333,"230":334,"231":335,"232":337,"233":338,"234":339,"236":341,"237":342,"238":343,"239":344,"240":345,"241":348,"243":350,"244":352,"245":353,"247":356,"248":357,"249":358,"250":359,"251":360,"252":362,"253":363,"254":364,"255":365,"256":366,"258":368,"259":370,"260":371,"261":372,"263":374,"265":376,"266":377,"267":378,"268":380,"269":382,"272":386,"273":387,"274":388,"275":389,"276":391,"277":392,"278":393,"279":395,"280":397,"281":398,"282":399,"283":400,"284":401,"285":402,"286":403,"287":404,"288":405,"289":406,"290":407,"291":408,"292":409,"294":411,"295":412,"296":414,"298":416,"299":417,"300":418,"301":419,"302":421,"303":422,"304":423,"305":424,"306":425,"307":427,"308":428,"309":429,"310":430,"311":431,"312":432,"314":436,"315":437,"317":440,"319":517,"320":520,"321":523,"322":527,"323":536,"324":543,"325":546,"326":548,"327":569,"328":579,"329":584,"330":592,"331":594,"332":595,"333":598,"334":602,"335":605,"336":616,"337":625,"338":626,"340":645,"341":650,"342":669,"343":672,"344":686,"345":687,"346":691,"347":714,"348":719,"349":721,"350":727,"351":732,"352":763,"353":771,"354":787,"355":788,"356":807,"357":808,"358":809,"359":815,"360":818,"361":819,"362":820,"363":839,"364":843,"365":846,"366":852,"367":854,"368":856,"369":863,"370":876,"371":890,"372":902,"373":904,"375":930,"376":935,"377":940,"378":963,"379":976,"380":983,"381":1015,"382":1018},{"0":9,"2":27,"3":34,"4":44,"5":52,"6":60,"7":63,"8":76,"9":95,"10":101,"12":108,"14":118,"16":130,"17":140,"18":150,"20":174,"22":187,"23":188,"24":190,"25":191,"26":192,"27":193,"28":194,"29":195,"30":197,"31":198,"32":199,"33":200,"35":203,"36":204,"37":206,"39":208,"40":209,"41":210,"43":213,"44":214,"45":216,"46":217,"47":218,"48":220,"49":221,"50":222,"51":223,"52":225,"53":226,"54":229,"55":230,"56":232,"57":233,"58":235,"59":236,"60":238,"62":240,"63":241,"64":242,"65":243,"66":244,"67":246,"68":247,"69":248,"70":249,"72":251,"73":252,"75":254,"76":255,"77":278,"78":287,"80":294,"81":301,"83":321,"84":328,"85":336,"87":351,"88":355,"89":369,"90":379,"91":381,"93":396,"94":413,"95":420,"96":426,"97":433,"98":434,"99":439,"101":445,"102":447,"104":449,"105":450,"106":452,"108":454,"109":455,"110":456,"112":458,"113":460,"115":462,"116":463,"117":464,"120":467,"121":468,"122":469,"123":470,"124":471,"125":472,"126":473,"127":474,"129":476,"130":477,"131":478,"132":480,"133":481,"134":483,"136":486,"137":487,"139":489,"140":491,"141":492,"142":493,"144":495,"145":496,"146":497,"147":498,"148":500,"149":501,"150":502,"153":506,"154":507,"159":514,"160":535,"161":540,"162":563,"163":568,"164":571,"165":574,"166":580,"167":589,"168":603,"169":606,"170":611,"171":613,"172":641,"173":642,"174":647,"175":654,"176":655,"177":665,"180":685,"181":688,"182":694,"183":706,"184":711,"185":738,"186":741,"187":743,"188":747,"189":756,"190":766,"191":775,"192":783,"193":785,"194":804,"195":813,"196":822,"197":829,"198":832,"199":834,"200":842,"201":850,"202":855,"203":867,"204":878,"205":884,"206":897,"207":898,"208":924,"209":936,"210":952,"211":957,"212":959,"213":985,"214":986,"215":997,"216":1005,"217":1008,"218":1012,"219":1020},{"0":0,"1":51,"2":58,"3":133,"4":181,"5":196,"8":215,"9":219,"11":231,"12":237,"13":347,"14":361,"15":390,"16":394,"17":443,"18":444,"19":451,"20":459,"21":482,"22":485,"23":490,"24":499,"25":505,"26":516,"28":547,"29":560,"30":572,"31":576,"32":590,"33":615,"34":619,"36":640,"38":656,"39":657,"40":661,"41":698,"42":701,"43":704,"46":746,"47":751,"48":758,"49":760,"50":762,"51":768,"52":773,"53":795,"54":805,"55":838,"57":857,"58":861,"59":888,"60":889,"61":901,"62":913,"63":937,"65":948,"66":967,"67":970,"68":984,"70":1000,"71":1002,"72":1017},{"0":189,"1":202,"2":224,"3":228,"4":234,"5":245,"6":446,"9":557,"10":564,"11":565,"12":596,"14":627,"17":703,"18":723,"19":825,"20":837,"21":845,"22":870,"23":900,"24":905,"25":909,"26":920,"27":932,"28":944,"31":1001,"33":1013,"34":1019},{"0":479,"1":525,"2":554,"3":566,"6":673,"8":713,"9":772,"11":801,"14":922,"15":993},{"3":769,"4":786,"6":812,"7":869,"9":899},{"1":609,"2":629,"6":781,"7":833,"10":882,"14":961,"15":1007},{"0":518,"2":534,"3":541,"10":666,"12":730,"13":778,"15":853,"16":858,"17":994},{"0":519,"2":604,"5":679,"7":745},{"0":567,"1":634,"2":667,"5":803,"8":894,"9":987},{"3":587,"5":693,"6":708,"7":736,"8":840,"9":860,"10":868,"11":879,"13":934},{"0":515,"1":551,"2":558,"3":578,"4":624,"5":709,"6":750,"8":814,"9":828,"10":910,"11":995},[728,831,951,978,988],[552,690,710,918,965,991],{"0":538,"2":630,"3":658,"5":774,"7":926,"8":955,"9":1006},{"2":549,"3":653,"4":664,"5":731,"8":1009},{"3":873,"5":941,"7":979,"9":1021},{"1":577,"2":724,"5":792,"6":798,"7":806,"9":917},{"1":575,"2":618,"3":637,"4":748,"5":810,"8":925},{"0":733,"6":968,"7":1014},{"0":559,"4":919,"5":945},{"0":591,"4":823,"5":880},{"2":588,"9":844,"10":872},{"2":764,"4":892,"6":977},{"0":512,"1":542,"2":570,"6":742,"7":974,"8":982},{"0":531,"1":545,"3":684,"4":705,"5":791,"6":847},[891,895,896,973,990,1022],[633,859,953,981],[779,790,883,912],[608,621,632,726,780,874],[692,796,942],[573,864,999],[757,921],[562,689,914],[600,610,817,871,877,958],[585,702,720,1016],[663,784,933,972],[620,674,696,770],[668,827,949,950,992],[631,744,1004],[849],{"0":555,"1":593,"3":699,"4":789},{"0":521,"2":581,"4":660,"5":670,"7":903},[662,695],[767,915,971],[836],[722,755],[651,885],[966],[1003],[911,923,980],[729]]