[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":19,"17":20,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":29,"25":30,"26":31,"27":32,"28":33,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"48":55,"49":56,"50":57,"51":58,"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":73,"66":74,"67":75,"68":76,"69":77,"70":80,"71":82,"72":85,"73":87,"74":88,"75":89,"76":90,"77":91,"78":92,"79":93,"80":94,"81":95,"82":96,"83":97,"84":98,"85":99,"86":100,"87":101,"88":102,"89":104,"90":105,"91":106,"92":107,"94":109,"95":110,"96":111,"97":112,"98":113,"99":114,"100":115,"101":116,"102":117,"103":118,"104":119,"105":120,"106":121,"107":123,"108":124,"109":126,"110":127,"111":128,"112":129,"113":130,"114":131,"115":132,"116":134,"117":136,"118":137,"119":138,"120":139,"121":143,"122":146,"123":147,"124":148,"125":149,"126":150,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":160,"137":161,"138":162,"139":164,"140":165,"141":166,"142":167,"143":169,"144":171,"145":172,"146":173,"147":174,"148":176,"149":177,"150":178,"151":180,"152":181,"153":182,"154":183,"155":184,"156":187,"157":188,"158":189,"159":191,"160":192,"161":193,"162":194,"163":195,"164":197,"165":198,"166":199,"167":200,"168":201,"169":202,"170":203,"171":205,"172":206,"173":207,"174":208,"175":209,"176":211,"177":212,"178":214,"179":217,"180":218,"181":220,"182":221,"183":222,"184":223,"185":224,"186":227,"187":228,"188":229,"189":230,"190":231,"191":232,"192":233,"193":234,"194":235,"195":236,"196":238,"197":239,"198":241,"199":243,"200":244,"201":246,"202":247,"203":248,"204":250,"205":251,"206":252,"207":255,"208":256,"209":259,"210":260,"211":261,"212":262,"213":263,"214":264,"215":265,"216":266,"217":267,"218":268,"219":269,"220":270,"221":271,"222":272,"223":273,"224":274,"225":275,"226":276,"227":277,"228":278,"229":279,"230":280,"231":281,"232":282,"233":283,"234":284,"235":285,"236":286,"237":287,"238":289,"239":290,"240":291,"241":292,"242":294,"243":295,"244":296,"245":298,"246":299,"247":301,"248":302,"249":303,"250":304,"251":305,"252":306,"253":307,"254":309,"255":310,"256":311,"257":312,"258":313,"259":314,"260":316,"261":317,"262":318,"263":319,"264":321,"265":322,"266":324,"267":325,"268":327,"269":328,"270":329,"271":330,"272":331,"273":332,"274":333,"275":334,"276":336,"277":337,"278":338,"279":340,"280":341,"281":342,"282":343,"283":345,"284":346,"285":347,"286":348,"287":349,"288":351,"289":352,"290":354,"291":355,"292":357,"293":358,"294":359,"295":360,"296":362,"297":363,"298":364,"299":365,"300":366,"301":367,"302":368,"303":369,"304":371,"305":372,"306":374,"307":375,"308":377,"309":379,"310":381,"311":382,"312":383,"313":384,"314":385,"315":386,"316":387,"317":390,"318":391,"319":392,"320":394,"321":395,"322":397,"323":398,"324":399,"325":400,"326":401,"327":402,"328":403,"329":404,"330":405,"331":406,"332":407,"333":409,"334":410,"335":411,"336":412,"337":413,"338":414,"339":415,"340":417,"341":418,"342":419,"343":420,"344":421,"345":422,"346":423,"347":424,"348":425,"349":426,"350":427,"351":428,"352":429,"353":431,"354":432,"355":433,"356":434,"357":435,"358":436,"359":437,"360":438,"361":439,"362":440,"363":441,"364":442,"365":443,"366":444,"367":445,"368":446,"369":447,"370":448,"371":449,"372":452,"373":453,"374":454,"375":455,"376":457,"377":460,"378":463,"379":464,"380":465,"381":467,"382":468,"383":469,"384":470,"385":471,"386":472,"387":473,"388":474,"389":475,"390":477,"391":478,"392":479,"393":480,"394":481,"395":482,"396":484,"397":485,"398":487,"399":488,"400":489,"401":491,"402":492,"403":493,"404":494,"405":495,"406":496,"407":497,"408":498,"409":499,"410":500,"411":501,"412":502,"413":503,"414":504,"415":505,"416":506,"417":507,"418":508,"419":509,"420":510,"421":511,"422":516,"423":517,"424":518,"425":521,"426":523,"427":527,"428":529,"429":533,"430":534,"431":537,"432":538,"433":541,"434":544,"435":545,"436":546,"437":547,"438":548,"439":549,"440":550,"441":552,"442":555,"443":562,"444":563,"445":564,"446":568,"447":570,"448":572,"449":578,"450":581,"451":582,"452":587,"453":594,"454":597,"455":600,"456":601,"457":604,"458":606,"459":608,"460":610,"461":612,"462":615,"463":616,"464":618,"465":619,"466":622,"467":623,"468":627,"469":628,"470":632,"471":634,"472":635,"473":638,"474":639,"475":642,"476":645,"477":646,"478":647,"479":648,"480":651,"481":653,"482":657,"483":660,"484":664,"485":666,"486":667,"487":668,"488":670,"489":673,"490":675,"491":679,"492":681,"493":683,"494":685,"495":689,"496":691,"497":692,"498":693,"499":695,"500":696,"501":697,"502":699,"503":702,"504":705,"505":709,"506":710,"507":712,"508":713,"509":714,"510":717,"511":720,"512":722,"513":725,"514":726,"515":727,"516":729,"517":730,"518":731,"519":732,"520":735,"521":736,"522":741,"523":743,"524":746,"525":747,"526":748,"527":749,"528":750,"529":751,"530":753,"531":754,"532":758,"533":759,"534":761,"535":763,"536":766,"537":767,"538":768,"539":771,"540":773,"541":774,"542":775,"543":776,"544":777,"545":780,"546":782,"547":783,"548":784,"549":785,"550":786,"551":787,"552":789,"553":799,"554":802,"555":803,"556":805,"557":807,"558":808,"559":809,"560":810,"561":812,"562":814,"563":816,"564":818,"565":819,"566":821,"567":823,"568":824,"569":828,"570":829,"571":830,"572":831,"573":832,"574":833,"575":834,"576":837,"577":841,"578":842,"579":846,"580":849,"581":850,"582":851,"583":856,"584":857,"585":858,"586":859,"587":860,"588":861,"589":862,"590":863,"591":865,"592":866,"593":867,"594":868,"595":876,"596":877,"597":883,"598":885,"599":888,"600":890,"601":892,"602":893,"603":896,"604":897,"605":898,"606":900,"607":902,"608":903,"609":904,"610":906,"611":908,"612":911,"613":912,"614":914,"615":915,"616":916,"617":917,"618":919,"619":920,"620":922,"621":925,"622":927,"623":929,"624":930,"625":931,"626":933,"627":935,"628":936,"629":939,"630":943,"631":946,"632":948,"633":949,"634":957,"635":958,"636":960,"637":961,"638":963,"639":967,"640":972,"641":973,"642":976,"643":978,"644":980,"645":981,"646":983,"647":984,"648":986,"649":987,"650":990,"651":993,"652":994,"653":995,"654":996,"655":997,"656":998,"657":999,"658":1001,"659":1002,"660":1006,"661":1007,"662":1009,"663":1010,"664":1012,"665":1014,"666":1015,"667":1016,"668":1017,"669":1019,"670":1021,"671":1022},{"0":6,"1":15,"2":18,"3":24,"4":28,"5":54,"6":59,"7":78,"8":79,"9":83,"10":84,"11":86,"12":103,"13":122,"14":133,"15":135,"16":140,"17":141,"18":142,"19":144,"20":145,"21":163,"22":168,"23":170,"24":175,"25":179,"26":185,"27":186,"28":196,"29":204,"30":210,"31":213,"32":215,"33":219,"34":225,"35":226,"36":237,"37":240,"38":249,"39":253,"40":254,"41":257,"42":258,"43":288,"44":293,"45":297,"46":300,"47":308,"48":315,"49":320,"50":323,"51":326,"52":335,"53":339,"54":344,"55":353,"56":356,"57":361,"58":370,"59":373,"60":376,"61":380,"62":388,"63":389,"64":393,"65":396,"66":408,"67":416,"68":430,"69":450,"70":451,"71":456,"72":458,"73":459,"74":461,"75":462,"76":466,"77":476,"78":483,"79":486,"80":490,"81":512,"82":513,"83":514,"84":515,"85":520,"86":522,"87":526,"88":528,"89":532,"90":540,"91":542,"92":543,"93":551,"94":553,"95":554,"96":556,"97":558,"98":559,"99":560,"100":561,"102":566,"103":567,"104":569,"105":571,"106":573,"107":574,"108":575,"109":577,"110":579,"111":580,"112":586,"113":588,"114":589,"115":590,"116":591,"117":595,"118":598,"119":599,"120":605,"121":607,"122":613,"123":614,"124":617,"125":620,"126":624,"127":625,"128":626,"129":630,"130":631,"131":633,"132":636,"133":637,"134":640,"135":643,"136":644,"137":649,"138":650,"139":652,"140":658,"141":662,"142":665,"143":669,"144":671,"145":674,"146":677,"147":680,"148":686,"149":690,"150":694,"151":698,"152":701,"153":703,"154":706,"155":707,"156":711,"157":715,"158":716,"159":718,"160":719,"161":721,"162":723,"163":728,"164":733,"165":734,"166":739,"167":752,"168":755,"169":756,"170":757,"171":760,"172":762,"173":764,"174":765,"175":769,"176":770,"177":778,"178":779,"179":781,"180":788,"181":790,"182":791,"183":792,"184":793,"185":795,"186":796,"187":797,"188":798,"189":800,"190":801,"191":804,"192":806,"193":811,"194":813,"195":815,"196":817,"197":820,"198":822,"199":825,"200":827,"201":835,"202":836,"203":838,"204":844,"205":847,"206":848,"207":852,"208":853,"209":854,"210":855,"211":864,"212":869,"213":873,"214":875,"215":878,"216":879,"217":881,"218":882,"219":884,"220":886,"221":887,"222":889,"223":895,"224":901,"225":913,"226":918,"227":921,"228":926,"229":928,"230":937,"231":938,"232":944,"233":947,"234":950,"235":951,"236":952,"237":953,"238":954,"239":955,"240":956,"241":959,"242":962,"243":965,"244":966,"245":971,"246":974,"247":975,"248":977,"249":979,"250":982,"251":989,"252":991,"253":1000,"254":1003,"255":1005,"256":1008,"257":1011,"258":1013},[34,81,190,216,242,245,350,378,519,525,531,536,539,557,583,584,593,603,609,611,621,629,655,656,659,661,663,672,676,678,682,684,687,688,700,704,708,724,744,772,826,839,843,845,871,872,891,894,899,905,909,910,923,924,932,934,940,964,969,970,1018,1020],[125,524,576,585,592,596,602,737,738,740,742,794,840,874,992,1004,1023],[535,654,870,880,907,945,985],[530,745,941,942,968],[]]