[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"8":9,"9":10,"10":13,"11":14,"12":16,"13":17,"14":18,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":28,"24":29,"25":30,"26":31,"27":33,"28":36,"29":37,"30":38,"31":39,"32":41,"33":42,"34":43,"35":45,"36":46,"37":47,"38":48,"39":49,"40":50,"41":51,"42":54,"43":55,"44":56,"45":57,"46":58,"47":59,"48":60,"49":61,"50":63,"51":64,"52":65,"53":66,"55":68,"56":70,"57":71,"58":72,"59":73,"61":75,"62":76,"63":77,"64":78,"65":79,"66":81,"67":82,"68":83,"69":84,"70":85,"71":86,"72":87,"73":88,"74":90,"75":91,"76":92,"77":94,"78":95,"79":96,"80":97,"81":98,"82":99,"83":100,"84":101,"85":104,"86":105,"87":107,"88":108,"89":109,"90":111,"91":113,"92":114,"93":115,"94":117,"95":118,"96":120,"97":121,"98":123,"99":125,"100":128,"101":129,"102":130,"103":131,"104":132,"105":133,"106":134,"108":136,"109":137,"110":138,"111":140,"112":142,"113":143,"114":144,"115":145,"116":146,"117":147,"118":148,"119":149,"120":150,"121":152,"122":153,"123":154,"124":155,"125":156,"126":157,"127":158,"128":159,"129":160,"130":161,"131":162,"132":163,"133":164,"134":167,"135":169,"136":170,"137":171,"138":172,"139":173,"140":174,"141":175,"142":176,"143":178,"144":179,"145":181,"146":182,"147":183,"148":184,"149":256,"150":257,"151":259,"152":260,"153":262,"155":264,"156":265,"157":266,"158":267,"159":268,"160":269,"161":271,"162":273,"163":274,"164":275,"165":276,"166":277,"167":278,"168":280,"169":281,"170":282,"171":285,"172":286,"174":288,"175":289,"176":290,"177":292,"178":293,"179":294,"180":295,"181":296,"182":297,"183":299,"184":300,"185":301,"186":302,"187":303,"188":304,"189":305,"190":306,"191":308,"192":309,"193":311,"194":312,"195":313,"196":315,"197":316,"198":317,"199":318,"200":319,"201":320,"202":321,"203":322,"204":323,"205":324,"206":325,"207":328,"209":330,"210":331,"211":332,"212":333,"213":334,"214":336,"215":337,"216":338,"217":339,"218":340,"219":341,"220":343,"221":344,"222":345,"223":346,"224":347,"225":348,"226":349,"227":350,"228":352,"229":353,"230":354,"231":355,"232":356,"233":357,"234":358,"235":359,"236":360,"237":363,"238":364,"239":365,"240":366,"241":367,"242":370,"243":371,"244":372,"245":373,"246":374,"247":375,"248":376,"249":377,"250":378,"251":380,"252":381,"253":382,"254":384,"255":385,"256":386,"257":388,"258":389,"259":390,"260":393,"261":394,"262":395,"263":397,"264":399,"265":400,"266":401,"267":402,"268":404,"269":405,"270":406,"271":407,"272":408,"273":410,"274":411,"275":416,"276":418,"277":422,"278":423,"279":424,"280":425,"281":427,"282":428,"283":429,"284":430,"285":431,"286":433,"287":434,"288":435,"289":436,"290":437,"291":438,"292":439,"293":440,"294":524,"295":528,"296":534,"297":535,"298":537,"299":539,"300":541,"301":550,"302":552,"303":553,"304":560,"305":561,"306":564,"307":570,"308":573,"309":582,"310":589,"311":592,"312":593,"313":595,"314":599,"315":604,"316":605,"317":608,"318":611,"319":614,"320":620,"321":624,"322":625,"323":629,"324":633,"325":634,"326":636,"327":637,"328":641,"329":645,"330":646,"331":648,"332":649,"333":652,"334":657,"335":659,"336":663,"337":667,"338":670,"339":672,"340":683,"341":686,"342":690,"343":691,"344":702,"345":710,"346":713,"347":723,"348":731,"349":734,"350":739,"351":741,"352":743,"353":745,"354":763,"355":765,"356":766,"357":769,"358":770,"359":771,"360":777,"361":779,"362":780,"363":785,"364":787,"365":796,"366":799,"367":800,"368":801,"369":802,"370":806,"371":809,"372":811,"373":813,"374":815,"375":826,"376":828,"377":829,"378":832,"379":834,"380":839,"381":843,"382":845,"383":846,"384":849,"385":850,"386":851,"387":858,"388":860,"389":862,"390":863,"391":865,"392":873,"393":876,"394":879,"395":884,"396":885,"397":886,"398":891,"399":895,"400":899,"401":901,"402":903,"403":909,"404":910,"405":915,"406":916,"407":929,"408":930,"409":931,"410":934,"411":935,"412":936,"413":940,"414":942,"415":946,"416":951,"417":954,"418":955,"419":956,"420":960,"421":962,"422":963,"423":965,"424":968,"425":969,"426":970,"427":972,"428":979,"429":986,"430":992,"431":997,"432":999,"433":1000,"434":1005,"435":1009,"436":1013,"437":1021},{"0":4,"1":11,"2":12,"3":15,"4":27,"5":35,"6":40,"7":44,"8":52,"9":53,"10":69,"11":89,"12":93,"13":102,"14":103,"15":106,"16":110,"17":116,"18":124,"19":126,"20":127,"21":139,"22":141,"23":151,"24":165,"25":166,"26":168,"27":177,"28":180,"29":185,"30":186,"31":187,"32":188,"33":189,"34":190,"35":191,"36":192,"37":193,"38":194,"39":195,"40":196,"41":198,"42":200,"43":201,"44":202,"45":207,"46":209,"47":210,"48":214,"50":216,"51":217,"52":218,"53":219,"54":221,"55":222,"56":223,"57":224,"58":226,"59":227,"60":228,"61":229,"62":230,"63":231,"64":233,"65":235,"66":236,"67":237,"68":238,"69":240,"70":244,"71":245,"72":246,"73":247,"74":248,"75":249,"76":250,"77":251,"78":252,"79":258,"80":261,"81":272,"82":283,"83":284,"84":291,"85":298,"86":307,"87":310,"88":314,"89":326,"90":342,"91":351,"92":362,"93":368,"94":369,"95":379,"96":383,"97":391,"98":392,"99":396,"100":403,"101":409,"102":412,"103":413,"104":414,"105":415,"106":417,"107":419,"108":420,"109":421,"110":426,"111":432,"112":441,"113":443,"114":444,"115":445,"116":446,"117":448,"118":451,"119":452,"120":454,"121":455,"122":457,"123":458,"124":460,"125":461,"126":463,"127":469,"128":470,"129":471,"130":473,"131":474,"132":475,"133":476,"134":477,"135":478,"136":479,"137":482,"138":483,"139":484,"140":486,"141":488,"142":489,"143":490,"144":492,"145":494,"146":498,"147":499,"148":502,"149":503,"150":505,"151":506,"152":507,"153":508,"154":509,"155":512,"156":519,"157":521,"158":522,"159":523,"160":532,"161":538,"162":542,"163":543,"164":547,"165":555,"166":558,"167":562,"168":566,"169":567,"170":569,"171":571,"172":574,"173":575,"174":580,"175":584,"176":585,"177":587,"178":600,"179":606,"180":609,"181":610,"182":612,"183":613,"184":619,"185":621,"186":622,"187":626,"188":635,"189":654,"190":656,"191":660,"192":661,"193":664,"194":668,"195":671,"196":674,"197":684,"198":687,"199":689,"200":697,"201":699,"202":701,"203":703,"204":707,"205":716,"206":720,"207":724,"208":726,"209":727,"210":728,"211":729,"212":746,"213":747,"214":752,"215":757,"216":760,"217":774,"218":775,"219":778,"220":808,"221":810,"222":812,"223":817,"224":819,"225":852,"226":854,"227":856,"228":866,"229":867,"230":870,"231":874,"232":877,"233":878,"234":880,"235":889,"237":900,"238":902,"239":905,"240":906,"241":922,"242":932,"243":949,"244":953,"245":958,"246":961,"247":966,"248":985,"249":987,"250":993,"251":1001,"252":1002,"253":1004,"254":1016,"255":1019,"256":1022},{"0":32,"1":34,"2":62,"3":80,"4":112,"5":119,"6":122,"7":197,"8":203,"9":204,"10":205,"11":206,"12":208,"13":211,"14":212,"15":213,"16":220,"17":225,"18":234,"19":239,"20":241,"21":242,"22":243,"23":253,"24":254,"25":255,"26":279,"27":327,"28":335,"29":361,"30":387,"31":398,"32":442,"33":447,"34":449,"35":450,"36":453,"37":456,"38":459,"39":462,"41":467,"42":468,"43":480,"44":481,"45":485,"46":487,"47":491,"48":493,"49":495,"50":496,"51":500,"52":501,"53":504,"54":510,"55":511,"56":518,"57":520,"58":551,"59":554,"60":559,"61":563,"62":568,"63":572,"64":594,"65":598,"66":602,"67":617,"68":618,"69":627,"70":679,"71":680,"72":696,"73":706,"74":715,"75":719,"76":721,"77":722,"78":732,"79":737,"80":738,"81":744,"82":749,"83":750,"84":755,"85":756,"86":761,"87":767,"89":795,"90":797,"91":807,"92":816,"93":818,"94":822,"95":824,"96":827,"98":844,"99":868,"100":882,"101":892,"102":911,"103":913,"104":924,"105":926,"106":927,"107":933,"108":938,"109":943,"110":952,"111":957,"112":959,"113":974,"114":978,"115":990,"116":1006,"117":1010,"118":1011,"119":1015,"120":1018,"121":1020,"122":1023},[199,232,270,465,466,472,497,529,540,544,548,576,590,601,615,632,642,653,662,676,677,705,708,709,712,718,730,740,754,758,759,776,786,789,869,883,887,896,898,914,923,948,967,975,980,988,991,994,995,1003,1014,1017],[513,517,531,533,536,577,586,631,643,650,651,655,665,673,675,681,688,692,693,700,704,717,725,753,768,772,781,783,788,791,793,803,804,814,825,831,836,837,838,842,853,871,888,904,908,918,925,928,937,976,977,982,983],[514,525,527,579,581,583,597,616,647,658,685,714,733,742,762,798,820,823,840,855,859,864,872,894,897,917,919,939,971,981,1007],[515,516,526,549,565,578,630,639,640,644,678,695,698,711,736,748,782,794,821,835,861,875,912,920,941,944,984,996],[669,735,751,764,805,833,841,857,947,964,1008],[545,628,666,893,907,973],[530,588,591,607,638,773,945,998],[784,847,848,881,921],[557,596,603,623],[546,792,950,1012],[556,682,989],[694]]