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