[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":11,"10":12,"11":13,"12":16,"13":17,"14":18,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":27,"24":28,"25":30,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":49,"43":50,"44":51,"45":52,"46":53,"47":56,"48":57,"49":59,"50":60,"51":61,"52":62,"53":63,"54":64,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":81,"71":82,"72":83,"73":84,"74":86,"75":87,"76":88,"77":91,"78":92,"79":93,"80":94,"81":95,"82":96,"83":97,"84":98,"85":99,"86":100,"87":101,"88":102,"89":104,"90":106,"91":107,"92":108,"93":111,"94":112,"95":113,"96":114,"97":115,"98":116,"99":117,"100":118,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":125,"108":126,"109":127,"110":129,"111":130,"112":131,"113":132,"114":133,"115":134,"116":135,"117":137,"118":138,"119":139,"120":141,"121":142,"122":143,"123":144,"124":145,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":153,"132":154,"133":155,"134":156,"135":157,"136":158,"137":159,"138":160,"139":161,"140":163,"141":164,"142":165,"143":167,"144":168,"145":169,"146":171,"147":172,"148":174,"149":175,"150":177,"151":178,"152":179,"153":180,"154":181,"155":182,"156":183,"157":185,"158":186,"159":187,"160":188,"161":189,"162":190,"163":192,"164":256,"165":257,"166":258,"167":259,"168":260,"169":261,"170":262,"171":263,"172":264,"173":266,"174":267,"175":268,"176":269,"177":270,"178":271,"179":272,"180":273,"181":275,"182":276,"183":277,"184":278,"185":279,"186":280,"187":282,"188":283,"189":284,"190":285,"191":286,"192":287,"193":288,"194":289,"195":290,"196":291,"197":292,"198":293,"199":294,"200":295,"201":296,"202":297,"203":298,"204":299,"205":301,"206":303,"207":305,"208":306,"209":307,"210":308,"211":309,"212":310,"213":311,"214":312,"215":313,"216":314,"217":315,"218":316,"219":318,"220":319,"221":320,"222":321,"223":322,"224":324,"225":325,"226":326,"227":327,"228":328,"229":331,"230":332,"231":334,"232":335,"233":336,"234":337,"235":338,"236":339,"237":340,"238":341,"239":342,"240":343,"241":344,"242":345,"243":346,"244":347,"245":349,"246":350,"247":351,"248":352,"249":353,"250":354,"251":355,"252":356,"253":357,"254":358,"255":359,"256":360,"257":361,"258":362,"259":363,"260":364,"261":365,"262":366,"263":367,"264":368,"265":369,"266":371,"267":372,"268":373,"270":375,"271":376,"272":377,"273":378,"274":379,"275":380,"276":381,"277":382,"278":384,"279":386,"280":388,"281":389,"282":390,"283":391,"284":392,"285":394,"286":395,"287":396,"288":397,"289":399,"290":400,"291":402,"292":404,"293":405,"294":407,"295":408,"296":409,"297":410,"298":411,"299":412,"300":413,"301":414,"302":415,"303":416,"304":417,"305":418,"306":419,"307":420,"308":421,"309":422,"310":423,"311":424,"312":425,"313":426,"314":427,"315":428,"316":430,"317":432,"318":433,"319":434,"320":435,"321":436,"322":437,"323":438,"324":440,"325":441,"326":442,"327":443,"328":444,"329":445,"330":446,"331":447,"332":448,"333":515,"334":530,"335":536,"336":538,"337":544,"338":545,"339":552,"340":563,"341":565,"342":580,"343":589,"344":594,"345":595,"346":599,"347":603,"348":609,"349":617,"350":626,"351":628,"352":640,"353":641,"354":644,"355":646,"356":654,"357":663,"358":679,"359":683,"360":690,"361":697,"362":700,"363":706,"364":709,"365":712,"366":714,"367":725,"368":741,"369":752,"370":763,"371":767,"372":770,"373":773,"374":775,"375":779,"376":781,"377":790,"378":805,"379":809,"380":811,"381":825,"382":835,"383":839,"384":841,"385":847,"386":851,"387":869,"388":870,"389":878,"390":889,"391":892,"392":914,"393":916,"394":924,"395":925,"396":936,"397":938,"398":940,"399":944,"400":960,"401":966,"402":992,"403":1011,"404":1013,"405":1014,"406":1018,"407":1019,"408":1020,"409":1023},{"0":3,"1":10,"2":14,"3":15,"4":29,"5":31,"6":48,"7":55,"8":58,"9":65,"10":85,"11":89,"12":90,"13":103,"14":105,"15":109,"16":110,"17":128,"18":136,"19":140,"20":146,"21":162,"22":166,"23":170,"24":173,"25":176,"26":184,"27":191,"28":193,"29":194,"30":196,"31":198,"32":199,"33":200,"34":201,"35":202,"36":203,"37":205,"38":206,"39":207,"40":208,"41":210,"42":212,"43":213,"44":214,"45":215,"46":216,"47":219,"49":221,"50":222,"51":223,"52":224,"53":225,"54":226,"55":227,"56":228,"57":229,"59":231,"60":233,"61":236,"62":237,"63":238,"64":239,"65":240,"66":241,"67":242,"68":243,"69":244,"70":245,"71":246,"72":247,"73":248,"74":249,"75":250,"76":251,"77":253,"78":265,"79":274,"80":281,"81":300,"82":302,"83":304,"84":317,"85":323,"86":329,"87":330,"88":333,"89":348,"90":370,"91":383,"92":385,"93":387,"94":393,"95":398,"96":401,"97":403,"98":406,"99":429,"100":431,"101":439,"102":449,"103":450,"104":451,"105":452,"106":453,"107":454,"108":455,"109":456,"110":458,"111":459,"112":460,"113":461,"114":462,"115":463,"116":464,"117":465,"118":467,"119":468,"120":469,"121":470,"122":471,"123":472,"124":473,"125":474,"126":477,"127":478,"128":479,"129":480,"130":481,"131":482,"132":483,"133":484,"134":487,"135":489,"136":490,"137":491,"138":492,"139":494,"140":495,"141":496,"142":498,"143":499,"144":500,"145":501,"146":502,"147":503,"148":504,"149":505,"150":506,"151":507,"152":508,"153":509,"154":510,"155":511,"156":523,"157":525,"158":528,"159":534,"160":535,"161":542,"162":555,"163":560,"164":582,"165":587,"166":596,"167":597,"168":601,"169":605,"170":610,"171":616,"172":633,"173":645,"174":647,"175":648,"176":650,"177":656,"178":657,"179":662,"180":671,"181":676,"182":677,"183":682,"184":685,"185":691,"186":692,"187":695,"188":698,"189":707,"190":719,"191":728,"192":731,"193":734,"194":735,"195":739,"196":780,"197":788,"198":802,"199":803,"200":808,"201":829,"202":849,"203":858,"204":872,"205":873,"206":874,"207":882,"208":885,"209":898,"210":907,"211":920,"212":931,"213":950,"214":952,"215":962,"216":963,"217":968,"218":972,"219":975,"220":976,"221":984,"222":993,"223":998,"224":1009,"225":1022},[54,197,204,209,211,217,218,232,235,252,254,255,457,466,475,476,485,486,488,493,497,514,516,517,518,520,539,548,549,553,554,556,557,562,564,570,571,577,586,593,607,611,613,614,615,619,621,625,639,643,652,665,667,669,670,673,678,680,689,693,694,696,710,715,718,720,742,744,745,746,748,749,754,759,764,771,772,795,796,815,826,828,832,846,853,856,862,864,866,868,871,877,879,883,891,893,901,910,922,930,932,933,945,948,955,957,973,979,981,986,989,990,1016],[234,527,540,541,546,561,569,572,573,623,627,629,631,632,642,651,653,655,659,674,684,699,703,705,717,727,740,750,755,765,774,776,777,778,783,785,786,794,801,806,807,810,812,822,823,827,831,844,852,865,876,880,894,897,902,904,906,911,912,918,929,934,939,941,964,967,971,982,983,1000,1002,1003,1004,1005,1007,1008,1015,1017],[195,513,522,524,529,547,578,584,592,600,604,612,622,637,658,688,701,702,724,733,736,738,762,782,789,818,819,820,824,838,842,860,867,896,905,919,923,926,927,943,951,978,985,991,994,995,996,1001,1006],[512,521,531,537,551,568,588,590,618,638,660,672,686,711,726,729,756,768,793,800,817,821,837,840,848,854,886,895,909,915,947,961,965,974,1012,1021],[526,543,558,583,606,635,636,661,664,668,681,687,721,722,723,743,760,797,833,834,859,884,900,913,917,946,954,959,969,970],[519,550,559,574,575,579,581,591,598,620,666,708,716,732,751,753,761,804,814,816,857,861,890,899,903,935,949,977,987],[532,567,576,585,634,675,713,757,766,784,792,887,921,937,980,999,1010],[533,608,769,830,843,855,863,908,942],[730,747,758,845,850,881,953,958,988],[566,649,787,799,997],[791,813,875,956],[602,624,630,928],[704,798,836],[737,888]]