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