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