[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":16,"14":18,"16":20,"17":21,"18":22,"19":23,"20":25,"21":26,"22":27,"24":29,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":39,"32":40,"33":41,"34":43,"35":45,"36":46,"37":49,"38":50,"39":51,"40":52,"41":53,"42":54,"43":55,"45":57,"46":58,"47":59,"49":62,"50":64,"52":66,"53":67,"54":69,"56":71,"57":72,"58":73,"59":74,"60":75,"61":76,"62":77,"63":78,"64":80,"65":81,"66":82,"67":83,"69":86,"70":90,"71":91,"72":92,"73":94,"74":95,"75":96,"76":97,"77":98,"78":99,"79":100,"80":101,"81":102,"82":104,"83":105,"84":106,"85":109,"86":110,"87":113,"88":114,"89":116,"90":118,"91":119,"92":120,"93":121,"94":122,"95":123,"96":125,"97":127,"98":128,"99":129,"100":132,"101":133,"102":134,"103":137,"104":139,"105":140,"106":141,"107":143,"108":144,"109":146,"110":147,"111":150,"112":151,"113":152,"114":153,"115":156,"116":160,"117":162,"118":256,"119":257,"120":258,"121":259,"122":260,"123":261,"124":262,"125":263,"126":264,"127":265,"128":268,"129":270,"130":272,"131":273,"132":274,"133":275,"134":276,"135":277,"136":278,"137":279,"138":280,"139":282,"140":284,"142":286,"143":291,"144":292,"145":294,"146":296,"147":297,"148":298,"149":300,"150":301,"151":303,"153":305,"154":307,"155":308,"156":309,"157":311,"158":312,"159":313,"160":315,"161":316,"162":317,"163":318,"164":320,"165":321,"166":322,"167":324,"168":327,"169":328,"170":329,"171":331,"172":332,"173":334,"174":335,"175":337,"176":338,"177":339,"178":340,"179":342,"180":344,"181":346,"182":348,"183":349,"184":351,"185":352,"186":353,"187":355,"189":357,"190":358,"191":360,"192":361,"193":363,"194":366,"195":367,"196":368,"197":369,"198":370,"199":371,"200":374,"201":375,"202":376,"203":377,"204":378,"205":379,"206":380,"207":381,"208":382,"209":383,"210":384,"211":385,"212":387,"213":388,"214":389,"215":390,"216":391,"217":392,"218":393,"219":394,"220":397,"221":398,"222":399,"223":402,"224":403,"225":404,"226":405,"227":408,"228":411,"229":412,"230":413,"231":414,"232":415,"233":416,"234":418,"235":513,"236":515,"237":528,"238":530,"239":532,"240":533,"241":536,"242":540,"243":546,"244":547,"245":554,"246":566,"247":567,"248":574,"249":577,"250":579,"251":584,"252":585,"253":587,"254":591,"255":593,"256":594,"257":595,"258":600,"259":604,"260":607,"261":608,"262":613,"263":616,"264":623,"265":624,"266":629,"267":633,"268":638,"269":639,"270":646,"271":649,"272":650,"273":657,"274":659,"275":662,"276":663,"277":665,"278":667,"279":668,"280":671,"281":677,"282":679,"283":681,"284":687,"285":693,"286":694,"287":699,"288":700,"289":701,"290":706,"291":711,"292":720,"293":724,"294":729,"295":741,"296":743,"297":746,"298":749,"299":751,"300":753,"301":755,"302":758,"303":759,"304":761,"305":773,"306":774,"307":778,"308":790,"309":791,"310":792,"311":798,"312":801,"313":806,"314":808,"315":811,"316":817,"317":819,"318":821,"319":823,"320":825,"321":833,"322":834,"323":843,"324":846,"325":855,"326":858,"327":860,"328":874,"329":875,"330":879,"331":883,"332":884,"333":885,"334":888,"335":892,"336":901,"337":903,"338":904,"339":905,"340":908,"341":916,"342":922,"343":926,"345":932,"346":933,"347":935,"348":936,"349":937,"350":940,"351":943,"352":947,"353":950,"354":956,"355":961,"357":983,"358":984,"359":987,"360":988,"361":994,"362":995,"363":1001,"364":1003,"365":1006,"366":1007,"367":1012,"368":1015,"369":1023},{"0":6,"1":14,"2":15,"3":17,"4":24,"5":30,"6":37,"7":38,"8":42,"9":44,"10":47,"11":48,"12":60,"13":63,"14":68,"15":79,"16":84,"17":88,"18":89,"19":103,"20":107,"21":108,"22":112,"23":115,"24":117,"25":124,"26":126,"27":130,"28":135,"29":136,"30":138,"31":142,"32":148,"33":149,"34":154,"35":155,"36":157,"37":158,"38":159,"39":161,"40":163,"41":165,"42":167,"43":171,"44":172,"45":173,"46":174,"47":175,"48":179,"49":181,"50":182,"51":183,"52":184,"53":185,"54":186,"55":187,"56":188,"57":189,"58":190,"59":191,"60":192,"61":196,"62":199,"63":200,"64":201,"65":202,"66":205,"67":206,"68":207,"69":208,"70":210,"71":211,"72":212,"73":213,"74":214,"75":216,"76":217,"77":219,"78":223,"79":224,"80":227,"81":229,"82":231,"83":233,"84":234,"85":235,"86":236,"87":237,"88":238,"90":240,"91":244,"93":248,"94":249,"95":253,"96":254,"97":255,"98":266,"99":267,"100":269,"101":281,"102":283,"103":287,"104":288,"105":289,"106":290,"107":295,"108":299,"109":302,"110":306,"111":310,"112":319,"113":323,"114":325,"115":330,"116":333,"117":336,"118":341,"119":343,"120":345,"121":350,"122":354,"123":362,"124":373,"125":396,"126":400,"127":401,"128":406,"129":410,"130":417,"131":419,"132":420,"133":426,"134":427,"135":428,"136":429,"137":430,"138":431,"139":433,"140":434,"141":435,"142":436,"143":437,"144":441,"145":442,"146":443,"148":446,"149":447,"150":448,"151":450,"152":451,"153":456,"154":458,"155":459,"157":461,"159":463,"160":465,"161":466,"162":468,"163":469,"164":470,"165":472,"166":474,"167":476,"168":477,"169":481,"170":485,"171":486,"172":490,"173":491,"174":493,"177":496,"178":497,"179":499,"180":500,"181":501,"182":502,"184":504,"186":506,"187":507,"188":511,"189":512,"190":517,"191":520,"192":524,"193":525,"194":526,"195":529,"196":535,"197":537,"198":539,"199":545,"200":553,"201":555,"202":564,"203":565,"204":568,"205":573,"206":578,"207":581,"208":582,"209":586,"210":588,"211":589,"212":598,"213":601,"214":603,"215":615,"216":617,"217":622,"218":630,"219":636,"220":641,"221":642,"222":645,"223":654,"224":656,"225":676,"226":678,"227":682,"228":685,"229":688,"230":692,"231":695,"232":696,"233":702,"234":710,"235":713,"236":714,"237":721,"238":726,"239":730,"240":731,"241":742,"242":745,"243":750,"244":757,"245":762,"246":763,"247":764,"248":765,"249":766,"250":768,"251":771,"252":772,"253":776,"254":784,"255":796,"256":810,"257":815,"258":818,"259":820,"260":827,"261":828,"262":830,"263":832,"264":835,"265":837,"266":839,"267":840,"268":852,"269":853,"270":857,"271":859,"272":868,"273":872,"274":878,"275":880,"276":881,"277":882,"278":886,"279":887,"280":889,"281":895,"282":896,"283":898,"284":906,"285":915,"286":918,"287":934,"288":938,"289":944,"290":949,"291":954,"292":955,"293":958,"294":960,"295":964,"296":978,"297":980,"298":982,"299":992,"300":996,"301":997,"302":1005,"303":1008,"304":1011,"305":1014,"306":1016,"307":1017,"308":1021},{"0":87,"1":93,"2":111,"3":131,"4":145,"5":164,"6":166,"7":168,"8":169,"9":170,"10":176,"11":177,"12":178,"13":193,"14":197,"15":198,"16":203,"17":204,"18":209,"19":215,"20":218,"21":220,"22":221,"23":222,"24":225,"25":226,"26":228,"27":232,"28":242,"29":243,"30":245,"31":247,"32":250,"33":252,"34":271,"35":293,"36":314,"37":326,"38":347,"39":359,"40":365,"41":372,"42":386,"43":395,"44":407,"45":409,"46":421,"47":422,"48":424,"49":425,"50":432,"51":438,"52":439,"53":440,"54":452,"55":453,"56":454,"57":455,"58":457,"59":464,"60":467,"61":471,"62":473,"63":475,"64":478,"65":479,"66":482,"67":483,"68":484,"69":487,"70":488,"71":489,"72":492,"73":498,"74":508,"75":514,"76":518,"77":531,"78":542,"79":548,"80":549,"81":556,"82":559,"83":563,"84":576,"85":596,"86":602,"87":605,"88":606,"89":610,"90":612,"91":620,"92":631,"93":635,"94":643,"95":644,"96":647,"97":651,"98":672,"99":674,"100":675,"101":680,"102":683,"103":684,"104":690,"105":705,"106":707,"107":722,"108":734,"109":737,"110":752,"111":756,"113":777,"114":780,"115":797,"116":802,"117":803,"118":804,"119":826,"120":829,"121":842,"122":844,"123":850,"124":862,"125":863,"126":867,"127":870,"128":897,"129":900,"130":907,"131":909,"132":911,"133":913,"134":920,"135":924,"136":939,"137":942,"138":952,"139":957,"140":962,"141":963,"142":965,"143":968,"144":974,"145":989,"146":998,"147":1000,"148":1013,"149":1018,"150":1022},[194,195,230,241,364,445,449,480,509,510,516,521,523,534,543,550,557,569,570,572,575,609,614,619,621,625,628,652,655,658,660,664,670,686,708,712,717,719,735,739,740,744,781,783,787,788,793,794,795,800,807,816,845,848,849,854,861,866,871,912,914,927,931,941,951,953,973,975,979,981,991,1004,1009],[180,251,423,519,522,544,561,571,592,599,669,698,703,718,728,733,736,738,767,770,775,785,789,799,822,824,838,847,869,877,894,919,923,946,959,976,986,1010],[527,538,541,627,640,648,709,747,748,754,779,805,864,873,876,890,893,990,993],[558,597,632,715,727,760,782,856,921,930,948,985],{"1":634,"2":691,"3":697,"4":723,"6":812,"7":891,"8":902,"9":929,"10":971,"11":1020},{"0":661,"1":666,"2":704,"4":967,"5":970},{"0":560,"1":580,"2":611,"3":626,"4":716,"5":809,"7":945,"8":999},{"0":552,"1":562,"2":618,"5":865,"6":969,"7":977},{"0":637,"1":673,"3":725},[653,851,925,1002],{"0":590,"1":831,"3":917},[]]