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