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