[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":38,"33":39,"34":41,"35":42,"36":43,"37":45,"38":48,"39":49,"40":50,"41":52,"42":56,"43":57,"44":58,"45":59,"46":60,"47":61,"48":62,"49":63,"50":64,"51":65,"52":67,"53":68,"54":69,"55":70,"56":71,"57":74,"58":75,"59":76,"60":77,"61":78,"62":79,"63":80,"64":82,"65":85,"66":87,"67":88,"68":89,"69":90,"70":92,"71":93,"72":96,"73":97,"74":98,"75":99,"76":100,"77":101,"78":102,"79":103,"80":104,"81":105,"82":106,"83":107,"84":108,"85":110,"86":111,"87":113,"88":115,"89":117,"90":119,"91":121,"92":123,"93":124,"94":125,"95":126,"96":128,"97":130,"98":133,"99":134,"100":135,"101":136,"102":137,"103":139,"104":141,"105":142,"106":143,"107":144,"108":145,"109":147,"110":149,"111":150,"112":151,"113":152,"114":154,"115":156,"116":157,"117":158,"118":160,"119":161,"120":162,"121":164,"122":165,"123":167,"124":168,"125":169,"126":170,"127":172,"128":174,"129":176,"130":177,"131":178,"132":179,"133":181,"134":182,"135":183,"136":184,"137":185,"138":186,"139":187,"140":188,"141":189,"142":190,"143":191,"144":192,"145":194,"146":195,"147":197,"148":198,"149":199,"150":200,"151":203,"152":204,"153":205,"154":206,"155":207,"156":208,"157":209,"158":210,"159":211,"160":212,"161":213,"162":215,"163":217,"164":218,"165":219,"166":221,"167":222,"168":223,"169":224,"170":225,"171":226,"172":227,"173":228,"174":256,"175":257,"176":258,"177":259,"178":260,"179":261,"180":262,"181":263,"182":264,"183":266,"184":267,"185":268,"186":270,"187":271,"188":272,"189":273,"190":274,"191":275,"192":276,"193":277,"194":278,"195":279,"196":282,"197":283,"198":284,"199":285,"200":286,"201":287,"202":288,"203":289,"204":291,"205":292,"206":293,"207":294,"208":295,"209":296,"210":297,"211":298,"212":299,"213":300,"214":301,"215":302,"216":303,"217":304,"218":305,"219":306,"220":307,"221":308,"222":309,"223":310,"224":311,"225":312,"226":314,"227":315,"228":316,"229":317,"230":318,"231":319,"232":320,"233":321,"234":325,"235":327,"236":328,"237":329,"238":332,"239":333,"240":334,"241":336,"242":337,"243":338,"244":339,"245":340,"246":342,"247":343,"248":344,"249":345,"250":346,"251":347,"252":348,"253":349,"254":350,"255":351,"256":352,"257":353,"258":356,"259":357,"260":360,"261":362,"262":363,"263":367,"264":368,"265":369,"266":370,"267":371,"268":374,"269":375,"270":376,"271":378,"272":379,"273":380,"274":381,"275":382,"276":383,"277":384,"278":385,"279":386,"280":388,"282":390,"283":391,"284":392,"285":394,"286":395,"287":396,"288":397,"289":398,"290":399,"291":402,"292":403,"293":404,"294":408,"295":409,"296":410,"297":411,"298":412,"299":413,"300":414,"301":416,"302":420,"303":421,"304":422,"305":423,"306":424,"307":427,"308":428,"309":429,"310":430,"311":431,"312":432,"313":433,"314":434,"315":435,"316":436,"317":437,"318":438,"319":439,"320":440,"321":441,"322":444,"323":446,"324":447,"325":448,"326":449,"327":450,"328":451,"329":453,"330":454,"331":455,"332":456,"333":457,"334":458,"335":459,"336":460,"337":461,"338":462,"339":463,"340":465,"341":466,"342":467,"343":468,"344":469,"345":470,"346":471,"347":472,"348":475,"349":476,"350":477,"351":478,"352":479,"353":480,"354":481,"355":482,"356":483,"357":484,"358":515,"359":518,"360":522,"361":535,"362":545,"363":547,"364":553,"365":554,"366":560,"367":563,"368":566,"369":568,"370":577,"371":579,"372":580,"373":582,"374":583,"375":589,"376":590,"377":591,"378":593,"379":594,"380":599,"381":602,"382":603,"383":606,"384":607,"385":613,"386":614,"387":622,"388":623,"389":626,"390":633,"391":636,"392":641,"393":644,"394":648,"395":652,"396":653,"397":657,"398":658,"399":662,"400":664,"401":673,"402":678,"403":679,"404":681,"405":682,"406":683,"407":684,"408":697,"409":698,"410":706,"411":716,"412":728,"413":737,"414":740,"415":742,"416":746,"417":748,"418":758,"419":761,"420":767,"421":769,"422":771,"423":779,"424":780,"425":781,"426":783,"427":790,"428":798,"429":800,"430":807,"431":810,"432":815,"433":819,"434":820,"435":821,"436":824,"437":826,"438":827,"439":828,"440":829,"441":830,"442":831,"443":832,"444":833,"445":835,"446":837,"447":838,"448":844,"449":857,"450":864,"451":870,"452":871,"453":876,"454":881,"455":886,"456":905,"457":909,"458":921,"459":940,"460":944,"461":946,"462":953,"463":958,"464":959,"465":961,"466":964,"467":966,"468":968,"469":975,"470":986,"471":1010,"472":1020},{"0":2,"1":8,"2":15,"3":24,"4":28,"5":37,"6":40,"7":44,"8":46,"9":47,"10":53,"11":54,"12":55,"13":66,"14":72,"15":73,"16":81,"17":83,"18":84,"19":86,"20":94,"21":95,"22":109,"23":112,"24":114,"25":116,"26":118,"27":120,"28":122,"29":127,"30":129,"31":131,"32":132,"33":138,"34":140,"35":146,"36":148,"37":153,"38":155,"39":159,"40":163,"41":166,"42":171,"43":175,"44":180,"45":193,"46":196,"47":201,"48":214,"49":216,"50":220,"51":229,"52":230,"53":231,"54":232,"55":233,"56":235,"57":236,"58":239,"59":241,"60":243,"61":246,"62":247,"63":248,"64":250,"65":251,"66":252,"67":253,"68":254,"69":255,"70":265,"71":280,"72":281,"73":290,"74":313,"75":322,"76":323,"77":326,"78":330,"79":331,"80":335,"81":341,"82":354,"83":355,"84":358,"85":359,"86":361,"87":364,"88":366,"89":372,"90":373,"91":377,"92":387,"93":393,"94":400,"95":401,"96":405,"97":406,"98":407,"99":415,"100":417,"101":418,"102":425,"103":426,"104":442,"105":443,"106":445,"107":452,"108":464,"109":473,"110":474,"111":485,"112":486,"113":488,"114":489,"115":490,"116":491,"117":492,"118":495,"119":496,"120":497,"121":498,"122":499,"123":500,"124":501,"125":502,"126":503,"127":504,"128":505,"129":506,"130":507,"131":509,"132":510,"133":511,"134":512,"135":513,"136":514,"137":526,"138":528,"139":530,"140":531,"141":533,"142":537,"143":544,"144":549,"145":556,"146":562,"147":570,"148":585,"149":595,"150":597,"151":605,"152":611,"153":615,"154":616,"155":620,"156":621,"157":625,"158":627,"159":630,"160":637,"161":639,"162":646,"163":649,"164":655,"165":661,"166":663,"167":666,"168":668,"169":669,"170":670,"171":677,"172":692,"173":694,"174":696,"175":699,"176":701,"177":707,"178":708,"179":709,"180":711,"181":717,"182":718,"183":722,"184":726,"185":729,"186":732,"187":743,"188":744,"189":747,"190":750,"191":754,"192":757,"193":759,"194":760,"195":766,"196":768,"197":774,"198":782,"199":784,"200":786,"201":787,"202":789,"203":794,"204":796,"205":801,"206":803,"207":804,"208":806,"209":816,"210":817,"211":823,"212":842,"213":847,"214":849,"215":850,"216":852,"217":855,"218":862,"219":866,"220":867,"221":869,"222":872,"223":875,"224":879,"225":880,"227":884,"228":888,"229":889,"230":891,"231":911,"232":915,"233":917,"234":920,"235":923,"236":925,"237":926,"238":934,"239":935,"240":939,"241":943,"242":945,"243":947,"244":949,"245":954,"246":962,"247":971,"248":977,"249":978,"250":979,"251":982,"252":984,"253":990,"254":992,"255":996,"256":1001,"257":1003,"258":1007,"259":1013,"260":1015},[51,91,173,202,234,237,238,240,242,244,245,249,269,324,365,419,487,493,494,508,517,525,529,540,550,551,558,565,571,574,581,584,604,610,650,665,667,671,675,680,700,704,705,710,712,734,735,738,764,765,773,799,811,813,814,836,845,846,854,856,859,863,873,878,883,892,894,898,900,901,902,903,906,907,916,937,938,957,960,969,970,974,983,985,987,988,999,1004,1011,1012,1014],[516,519,532,536,542,543,555,559,561,564,575,576,578,587,609,612,619,624,631,647,656,674,676,685,686,687,695,724,753,755,762,763,770,778,785,805,812,818,822,853,861,865,877,885,890,899,913,932,941,956,972,989,1000,1018,1023],[527,538,546,557,567,569,572,635,638,642,643,659,672,693,715,720,730,751,752,775,788,792,809,825,840,843,860,893,910,929,933,951,952,963,973,976,980,1002,1005,1006],[523,534,573,617,628,634,640,645,689,714,721,723,725,745,749,772,791,793,802,839,841,848,851,908,927,931,965,1009,1017,1019],[524,539,548,552,592,596,598,601,608,629,690,702,719,731,733,736,834,868,874,896,904,912,919,928,942,950,967,993,1008,1021],[520,541,586,588,651,688,691,703,739,756,795,808,887,897,914,922,924,930,936,948,955,981,994,997,998],[521,600,618,654,660,776,777,797,858,918,1016],[632,713,727,741,895,991,995],[1022]]