[{"0":1,"1":2,"2":4,"3":5,"4":6,"5":7,"6":8,"7":10,"8":11,"9":12,"10":13,"11":14,"12":15,"15":18,"16":19,"17":20,"18":21,"19":23,"21":25,"22":26,"23":27,"24":28,"25":29,"26":31,"27":34,"28":35,"29":36,"30":37,"31":38,"32":40,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":48,"41":49,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"54":63,"55":65,"57":67,"58":68,"59":69,"60":70,"61":72,"62":73,"63":75,"64":76,"65":77,"66":78,"67":79,"68":80,"69":81,"70":82,"71":83,"72":84,"73":85,"74":86,"75":87,"76":88,"77":89,"78":90,"79":91,"80":92,"81":93,"82":95,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":102,"90":103,"91":104,"92":105,"93":106,"94":107,"95":108,"96":109,"97":110,"98":111,"99":112,"100":113,"101":114,"102":115,"103":116,"104":117,"105":118,"107":120,"108":121,"110":123,"111":124,"112":125,"113":126,"114":127,"115":130,"116":131,"117":132,"118":133,"119":134,"120":135,"121":136,"122":137,"123":138,"124":139,"125":140,"126":142,"127":143,"128":144,"129":145,"130":146,"131":147,"132":148,"133":149,"134":150,"135":151,"136":153,"137":154,"138":155,"139":156,"140":158,"141":159,"142":160,"143":161,"144":162,"145":163,"146":164,"147":165,"148":166,"149":167,"150":169,"151":170,"152":171,"153":172,"154":173,"155":174,"156":175,"157":176,"158":177,"159":178,"160":179,"161":180,"162":181,"163":182,"164":184,"166":186,"167":187,"168":188,"169":190,"170":191,"171":192,"172":193,"173":194,"174":195,"175":196,"176":197,"177":198,"178":199,"179":200,"180":201,"181":202,"182":203,"183":204,"184":205,"185":206,"186":207,"187":208,"188":209,"189":210,"190":211,"191":212,"192":213,"193":214,"194":215,"195":216,"196":217,"197":218,"198":219,"199":220,"200":221,"201":222,"202":223,"203":224,"204":225,"205":226,"206":227,"207":228,"208":229,"209":232,"210":233,"211":234,"212":235,"213":236,"214":237,"215":238,"216":239,"217":240,"218":241,"219":242,"220":243,"221":244,"222":245,"223":246,"224":247,"225":248,"226":249,"227":250,"228":251,"229":252,"230":253,"231":254,"232":255,"233":256,"234":257,"235":258,"236":259,"237":260,"238":261,"239":262,"240":263,"241":264,"242":265,"243":266,"244":267,"245":268,"246":269,"247":270,"248":271,"249":274,"250":275,"251":276,"252":278,"253":279,"254":281,"255":282,"256":283,"257":284,"258":285,"259":286,"260":287,"261":288,"262":289,"263":290,"264":291,"265":292,"266":293,"267":294,"269":296,"270":297,"271":298,"272":299,"273":300,"274":301,"275":302,"276":303,"277":305,"278":306,"279":308,"280":309,"281":310,"282":311,"284":313,"285":314,"286":315,"287":316,"288":317,"289":318,"291":320,"292":321,"293":322,"294":323,"295":324,"296":325,"297":326,"298":327,"299":328,"300":329,"301":330,"302":331,"303":332,"304":333,"305":334,"306":335,"307":336,"308":337,"309":338,"310":339,"311":340,"312":341,"313":342,"314":343,"315":345,"316":346,"318":348,"319":349,"320":350,"321":351,"322":352,"324":354,"325":355,"326":356,"327":357,"328":358,"329":359,"330":361,"331":362,"332":363,"333":364,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"340":371,"341":372,"342":373,"343":375,"344":376,"345":377,"346":378,"347":379,"348":380,"349":381,"350":383,"352":386,"353":387,"354":388,"355":389,"356":390,"357":391,"358":393,"359":395,"360":396,"361":397,"362":398,"363":400,"364":402,"365":403,"366":404,"367":405,"368":406,"370":408,"371":409,"372":410,"373":411,"374":412,"375":413,"376":414,"377":415,"379":417,"380":418,"381":419,"382":420,"383":421,"384":422,"385":423,"386":424,"387":425,"389":427,"390":429,"391":430,"392":431,"393":432,"395":434,"396":435,"397":436,"398":437,"399":438,"400":439,"401":440,"403":442,"404":443,"405":445,"406":446,"407":447,"408":450,"409":451,"410":453,"411":454,"412":455,"413":456,"414":457,"415":458,"416":459,"417":460,"418":461,"419":462,"420":464,"421":465,"422":466,"423":467,"424":468,"425":469,"426":470,"427":472,"428":473,"429":474,"430":475,"431":476,"432":477,"433":478,"434":479,"435":480,"436":481,"437":482,"438":483,"439":484,"440":485,"441":486,"442":487,"443":488,"444":491,"445":492,"446":493,"447":494,"448":495,"449":496,"450":497,"451":498,"452":499,"453":500,"454":501,"455":502,"456":503,"457":504,"458":505,"459":506,"460":507,"461":508,"462":509,"463":510,"464":511,"465":520,"466":525,"467":531,"468":532,"469":534,"470":536,"471":537,"472":538,"473":540,"474":544,"475":545,"476":548,"477":556,"478":560,"479":562,"481":565,"482":574,"483":581,"484":602,"485":604,"486":608,"487":616,"488":617,"489":618,"490":623,"491":625,"492":628,"493":629,"494":637,"495":638,"496":644,"497":647,"498":652,"499":657,"500":663,"501":665,"502":672,"503":679,"504":680,"505":686,"506":691,"507":693,"508":695,"509":699,"510":712,"511":714,"512":716,"513":723,"514":728,"515":733,"516":737,"517":738,"518":739,"519":744,"520":746,"521":747,"522":752,"523":758,"524":762,"525":767,"526":769,"527":773,"528":775,"529":780,"530":783,"531":789,"532":793,"533":795,"534":798,"535":799,"536":806,"537":814,"538":816,"539":826,"540":828,"541":831,"542":835,"543":845,"544":857,"545":862,"546":864,"547":869,"548":877,"549":878,"550":882,"551":885,"552":890,"553":903,"554":904,"555":909,"556":914,"557":917,"558":918,"559":919,"560":922,"561":923,"562":925,"564":938,"565":939,"566":941,"567":947,"568":948,"569":949,"570":950,"571":952,"572":954,"573":958,"574":959,"575":964,"576":974,"577":980,"578":991,"579":993,"580":994,"581":996,"582":997,"583":999,"584":1001,"585":1002,"586":1004,"587":1007,"588":1010},{"0":0,"1":3,"2":9,"3":22,"4":30,"5":32,"6":33,"7":39,"8":64,"9":71,"10":74,"11":94,"12":128,"13":141,"14":157,"15":168,"16":183,"17":189,"18":230,"19":231,"20":272,"21":273,"22":277,"23":280,"24":304,"25":344,"26":360,"27":374,"28":382,"29":384,"30":392,"31":394,"32":399,"33":401,"34":428,"36":448,"37":449,"38":452,"39":463,"40":471,"41":489,"42":490,"43":512,"44":513,"45":514,"46":517,"47":523,"48":524,"49":527,"50":533,"51":539,"52":542,"53":543,"54":549,"55":552,"56":553,"57":566,"58":569,"59":573,"60":577,"61":579,"62":580,"63":582,"64":583,"65":584,"66":587,"67":600,"68":601,"69":605,"70":606,"71":611,"72":612,"73":619,"74":627,"75":636,"76":639,"77":641,"78":649,"79":651,"80":658,"81":661,"82":662,"83":664,"84":667,"85":668,"86":674,"87":678,"88":684,"89":690,"90":694,"91":698,"92":704,"93":705,"94":706,"95":717,"96":718,"97":719,"98":720,"99":725,"100":729,"101":735,"102":742,"103":743,"104":745,"105":751,"106":754,"107":759,"108":768,"109":770,"110":771,"111":778,"112":784,"113":785,"114":790,"115":794,"116":796,"117":810,"118":811,"119":817,"120":832,"121":838,"122":841,"123":846,"124":847,"125":855,"126":873,"127":874,"128":879,"129":884,"130":886,"131":887,"132":893,"133":897,"134":898,"135":905,"136":907,"137":908,"138":911,"139":921,"140":924,"141":926,"142":927,"143":928,"144":932,"145":933,"146":934,"147":942,"148":943,"149":945,"150":946,"151":953,"152":956,"153":962,"154":966,"155":969,"156":977,"157":978,"158":979,"159":982,"160":983,"161":984,"162":992,"163":995,"164":1006,"165":1013,"166":1017,"167":1018,"168":1022},[50,129,152,307,518,522,526,530,546,550,557,558,559,567,568,585,588,589,595,607,620,622,630,631,634,635,643,646,648,653,654,656,670,673,683,687,692,700,701,709,713,721,724,731,736,748,750,760,764,766,776,777,779,781,791,808,813,819,820,833,834,837,839,842,848,849,851,852,856,860,861,865,868,872,896,900,910,929,937,957,961,976,981,988,998,1021,1023],{"0":519,"1":521,"2":535,"3":555,"4":561,"5":563,"6":586,"7":596,"8":613,"9":614,"10":624,"11":666,"12":675,"13":676,"14":677,"15":682,"16":710,"17":753,"18":756,"19":757,"20":761,"21":765,"22":772,"23":774,"24":797,"25":800,"26":801,"27":802,"28":804,"29":805,"30":812,"31":815,"32":818,"33":822,"35":829,"36":836,"37":843,"38":853,"39":858,"40":867,"41":870,"42":891,"43":894,"44":899,"45":912,"46":913,"47":916,"48":920,"49":930,"50":931,"51":944,"52":960,"53":971,"54":972,"55":986,"56":989,"57":1000,"58":1005,"59":1011,"60":1012,"61":1016,"62":1019},{"0":516,"1":528,"2":529,"3":554,"4":572,"5":575,"6":592,"7":593,"8":594,"9":597,"10":599,"11":603,"12":615,"13":621,"14":632,"15":640,"16":642,"17":655,"18":659,"19":660,"20":689,"21":697,"22":702,"23":715,"24":722,"25":730,"26":732,"27":741,"28":786,"29":787,"30":788,"31":824,"32":830,"33":866,"34":871,"35":875,"36":883,"37":889,"38":892,"39":901,"40":902,"41":951,"42":963,"43":975,"44":1003,"45":1009,"47":1020},[541,570,578,591,626,671,685,688,696,703,749,763,792,807,821,827,850,854,859,863,876,880,888,895,906,935,940,967,968,970,987,990,1008],[551,571,576,598,609,610,650,681,707,726,727,734,740,755,809,840,844,881,915,955,985],[515,547,590,708,711,782,825,965,973],[633,645,1015],[]]