[{"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":15,"13":16,"14":18,"16":20,"17":21,"18":22,"19":23,"20":24,"22":27,"23":28,"24":29,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":44,"39":45,"40":46,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"58":65,"59":66,"60":67,"61":68,"62":69,"63":70,"64":71,"65":74,"66":75,"68":77,"69":78,"70":79,"71":81,"72":82,"73":83,"74":84,"75":85,"76":86,"77":87,"78":89,"79":90,"80":91,"81":92,"82":94,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":102,"90":104,"91":106,"92":107,"93":108,"94":110,"95":111,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"102":118,"103":119,"104":120,"105":121,"106":122,"107":124,"108":125,"109":126,"110":127,"111":130,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":141,"121":142,"122":143,"123":144,"124":146,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":153,"132":154,"133":157,"134":158,"135":159,"136":160,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":167,"144":168,"145":169,"146":171,"147":172,"148":173,"149":175,"150":176,"151":177,"152":178,"153":179,"154":180,"155":181,"156":182,"158":184,"159":186,"160":187,"161":188,"162":189,"163":191,"164":192,"165":194,"166":195,"167":196,"168":197,"169":198,"170":199,"171":200,"172":201,"173":202,"174":203,"175":204,"176":205,"177":207,"178":208,"179":209,"180":210,"181":211,"182":212,"183":213,"184":214,"185":216,"186":217,"187":218,"188":219,"189":221,"190":222,"191":223,"192":224,"193":225,"194":226,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":236,"205":237,"206":238,"207":239,"208":240,"209":241,"210":242,"211":243,"212":244,"213":245,"214":247,"215":249,"216":250,"217":251,"218":252,"219":253,"220":254,"221":255,"222":256,"223":257,"224":258,"225":259,"226":260,"227":261,"228":262,"229":263,"232":266,"233":267,"234":268,"235":270,"236":271,"237":272,"238":273,"239":274,"240":275,"241":276,"242":277,"243":278,"244":279,"245":280,"247":282,"248":283,"249":284,"250":285,"251":286,"253":289,"254":291,"255":292,"256":293,"257":295,"258":297,"259":299,"260":300,"261":301,"262":302,"263":303,"264":304,"265":305,"266":306,"267":307,"268":308,"269":310,"270":311,"271":313,"272":314,"273":315,"274":316,"275":317,"276":318,"277":319,"278":321,"279":322,"280":323,"281":324,"282":325,"283":326,"284":327,"285":328,"286":329,"287":330,"288":331,"289":332,"290":333,"291":338,"292":339,"293":340,"294":341,"295":342,"296":343,"297":345,"298":346,"299":347,"300":348,"301":349,"302":350,"303":351,"304":352,"305":353,"306":354,"307":355,"308":356,"309":357,"310":358,"311":359,"312":360,"313":361,"314":362,"316":364,"317":365,"318":366,"319":367,"320":368,"321":369,"322":370,"323":371,"324":373,"326":375,"327":376,"328":377,"329":378,"330":379,"331":380,"332":381,"333":382,"334":383,"335":384,"336":385,"337":386,"338":388,"339":389,"340":390,"341":391,"342":392,"343":393,"344":394,"345":395,"346":396,"347":397,"348":398,"349":399,"350":401,"351":403,"352":404,"353":405,"354":406,"355":407,"356":408,"357":409,"358":410,"359":411,"360":412,"361":413,"362":414,"363":415,"364":416,"365":417,"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":433,"382":434,"383":435,"384":436,"385":437,"386":438,"387":439,"389":441,"390":442,"391":443,"392":444,"393":445,"394":446,"395":447,"396":448,"397":449,"398":450,"399":451,"400":452,"401":453,"402":454,"403":456,"404":457,"405":458,"406":460,"407":461,"408":462,"409":464,"410":465,"411":466,"412":467,"413":468,"414":469,"415":470,"416":471,"417":472,"418":473,"419":475,"420":478,"421":479,"422":480,"423":481,"424":482,"425":483,"426":484,"427":486,"428":487,"429":488,"430":489,"431":490,"432":491,"433":492,"434":493,"435":494,"436":495,"437":496,"438":497,"439":498,"440":499,"441":500,"442":502,"443":503,"444":504,"445":505,"446":506,"447":507,"448":508,"449":509,"450":510,"451":511,"452":512,"453":513,"454":514,"455":517,"456":518,"457":522,"458":523,"459":524,"460":527,"461":528,"462":531,"463":532,"464":535,"465":536,"466":537,"467":538,"468":539,"469":542,"470":543,"471":544,"472":545,"473":547,"474":548,"475":549,"476":552,"477":554,"478":555,"479":556,"480":561,"481":563,"482":564,"483":567,"484":568,"485":569,"486":572,"487":574,"488":576,"489":577,"490":578,"491":579,"492":580,"493":581,"494":583,"495":591,"496":593,"497":594,"498":595,"499":601,"500":603,"501":606,"502":607,"503":608,"504":609,"505":611,"506":613,"507":614,"508":615,"509":616,"510":617,"511":619,"512":620,"513":621,"514":622,"515":625,"516":628,"517":631,"518":632,"519":636,"520":639,"521":640,"522":643,"523":644,"524":645,"525":646,"526":648,"527":650,"528":652,"529":656,"530":657,"531":658,"532":662,"533":664,"534":666,"535":667,"536":672,"537":673,"538":674,"539":676,"540":677,"541":678,"542":680,"543":681,"544":682,"545":685,"546":688,"547":690,"548":691,"549":693,"550":696,"551":700,"552":701,"553":702,"554":704,"555":711,"556":713,"557":717,"558":719,"559":722,"560":723,"561":724,"562":727,"563":728,"564":729,"565":730,"566":732,"567":734,"568":740,"569":742,"570":744,"571":746,"572":749,"573":751,"574":753,"575":757,"576":758,"577":759,"578":764,"579":765,"580":766,"581":767,"582":768,"583":770,"584":771,"585":775,"586":778,"587":780,"588":783,"589":785,"590":786,"592":789,"593":790,"594":794,"595":795,"596":796,"597":798,"598":801,"599":802,"600":803,"601":804,"602":805,"603":809,"604":812,"605":814,"606":816,"607":817,"608":818,"609":820,"610":823,"611":827,"612":828,"613":829,"614":833,"615":834,"616":835,"617":837,"618":839,"619":841,"620":843,"621":844,"622":848,"623":850,"624":852,"625":854,"626":858,"627":859,"628":862,"629":867,"630":868,"631":869,"632":870,"633":871,"634":872,"635":874,"636":876,"637":877,"638":880,"639":881,"640":884,"641":885,"642":888,"643":890,"644":891,"645":893,"646":895,"647":896,"648":897,"649":901,"650":903,"651":904,"652":905,"653":909,"654":910,"655":912,"656":913,"657":915,"658":917,"659":918,"660":920,"661":922,"662":923,"663":924,"664":926,"665":927,"666":928,"667":929,"668":930,"669":933,"670":935,"671":938,"672":940,"673":943,"674":948,"675":950,"676":951,"677":953,"678":955,"679":960,"680":963,"681":964,"682":965,"683":967,"684":968,"685":971,"686":973,"687":974,"688":977,"689":978,"690":980,"691":981,"692":982,"693":984,"694":985,"695":986,"696":990,"697":991,"698":992,"699":993,"700":994,"701":998,"702":999,"703":1000,"704":1002,"705":1003,"706":1008,"707":1009,"708":1010,"709":1012,"710":1013,"711":1014,"712":1019,"713":1020,"714":1021,"715":1022,"716":1023},[12,13,14,17,26,43,47,72,73,80,88,93,95,105,123,131,140,145,155,156,170,174,185,190,193,206,215,220,246,248,269,287,290,294,296,298,309,312,320,335,336,337,344,372,387,400,402,455,459,463,474,476,477,485,501,516,519,521,525,526,529,533,534,540,541,551,553,558,565,571,573,575,582,585,587,596,597,598,600,602,604,605,618,623,630,634,641,642,649,651,655,663,669,670,683,684,686,689,692,694,695,697,699,706,707,708,709,710,712,715,718,725,731,733,736,737,743,745,747,750,752,756,761,762,769,772,776,777,779,781,784,788,791,792,793,797,799,800,807,810,811,813,815,819,821,822,825,826,830,831,836,840,842,845,846,847,849,851,853,855,856,860,861,864,866,873,879,882,886,887,889,898,900,908,911,914,916,919,921,925,931,932,934,941,946,947,949,952,957,958,961,962,966,970,972,975,976,979,983,989,995,997,1001,1004,1006,1007,1011,1015],[103,109,128,129,334,515,546,550,559,570,588,589,592,624,626,629,638,659,660,661,668,698,703,705,735,741,748,760,763,774,806,863,865,892,899,902,907,936,956,969,1005,1017],[520,557,566,584,586,612,635,637,647,671,679,714,721,726,739,755,773,824,875,883,894,906,937,939,944,959,988],[590,599,633,665,675,808,832,878,945,954,1018],[560,610,653,738,782,838],[562,687,716,720,987,1016],[627,654,754],[]]