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