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