[{"0":1,"1":2,"2":3,"3":4,"4":5,"6":7,"7":8,"8":9,"9":10,"11":12,"12":13,"13":14,"14":17,"15":18,"16":19,"17":20,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"42":46,"43":47,"44":48,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"51":56,"53":58,"54":59,"55":61,"56":62,"57":63,"58":64,"59":65,"60":66,"62":69,"63":70,"64":71,"65":72,"66":73,"67":74,"68":75,"70":77,"71":78,"72":79,"74":81,"75":83,"76":84,"77":85,"78":86,"79":87,"80":88,"81":89,"82":90,"83":91,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"94":102,"95":103,"96":104,"97":106,"98":107,"99":108,"100":109,"101":113,"102":114,"103":115,"104":116,"105":117,"106":118,"107":119,"108":120,"109":121,"110":122,"111":123,"112":125,"113":126,"114":127,"118":131,"119":132,"120":133,"121":134,"122":136,"123":137,"124":138,"125":139,"126":140,"127":141,"128":142,"129":143,"130":144,"131":145,"133":147,"134":148,"137":151,"139":153,"140":154,"141":155,"142":156,"143":157,"144":158,"146":160,"147":161,"148":162,"149":163,"150":164,"151":165,"153":167,"154":168,"155":169,"156":170,"157":171,"158":172,"159":173,"160":174,"161":175,"162":176,"163":177,"164":178,"165":179,"166":180,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"173":187,"174":188,"175":189,"176":190,"177":191,"178":192,"179":193,"180":194,"182":196,"183":197,"184":198,"185":199,"186":200,"187":201,"188":203,"189":204,"190":205,"191":206,"192":207,"194":209,"196":211,"197":212,"198":213,"199":214,"200":215,"201":216,"202":217,"203":218,"204":219,"205":220,"206":221,"207":222,"208":223,"209":224,"211":226,"212":227,"213":228,"214":229,"215":230,"216":231,"217":232,"218":233,"219":234,"220":235,"221":236,"222":238,"223":239,"224":240,"225":241,"226":242,"227":243,"228":244,"229":246,"230":247,"231":248,"232":249,"233":251,"234":252,"235":254,"236":255,"237":256,"238":257,"239":258,"240":260,"241":261,"242":262,"243":263,"245":265,"246":266,"247":267,"248":268,"249":270,"250":271,"251":272,"252":273,"254":275,"255":276,"256":277,"257":278,"259":280,"260":281,"261":282,"262":283,"263":284,"264":285,"265":286,"268":291,"270":293,"271":294,"272":295,"273":296,"274":297,"275":298,"276":300,"277":301,"278":302,"279":303,"280":304,"281":305,"282":306,"283":307,"284":308,"285":309,"286":310,"288":312,"289":313,"290":314,"291":315,"292":316,"293":317,"294":318,"295":319,"296":320,"297":321,"298":322,"299":323,"301":325,"302":326,"303":327,"304":328,"305":329,"306":330,"307":331,"308":332,"310":334,"311":335,"312":336,"313":337,"314":338,"317":341,"318":342,"321":345,"322":346,"323":347,"324":348,"325":349,"326":350,"327":352,"328":353,"329":354,"331":356,"332":357,"333":358,"334":359,"335":360,"336":361,"337":362,"338":363,"339":364,"340":365,"341":366,"342":367,"343":368,"344":369,"345":370,"346":371,"347":372,"348":373,"349":375,"351":377,"352":378,"353":379,"354":380,"355":381,"357":383,"358":384,"359":385,"360":386,"361":387,"362":388,"363":389,"364":390,"365":391,"366":392,"367":393,"368":394,"369":395,"370":396,"372":398,"373":399,"374":400,"375":401,"376":403,"377":404,"380":407,"381":408,"382":409,"383":410,"384":411,"385":412,"386":413,"387":414,"388":415,"389":416,"390":418,"391":419,"392":420,"393":421,"394":422,"395":423,"397":425,"398":426,"399":427,"400":428,"401":429,"402":430,"403":431,"404":432,"405":433,"406":434,"407":435,"410":438,"411":439,"412":440,"413":442,"415":444,"416":445,"417":446,"418":447,"419":448,"420":449,"421":450,"422":451,"423":452,"424":453,"425":454,"426":455,"427":456,"428":457,"429":458,"430":459,"431":460,"432":461,"434":463,"435":464,"436":465,"437":466,"438":467,"439":468,"440":469,"441":470,"442":471,"443":472,"444":473,"445":474,"446":475,"447":476,"448":477,"449":478,"450":479,"451":480,"453":482,"454":483,"455":484,"456":485,"457":486,"458":487,"459":488,"460":489,"461":490,"462":491,"463":492,"464":493,"465":494,"466":495,"467":496,"468":497,"469":498,"470":499,"471":500,"472":501,"475":504,"476":505,"477":506,"478":507,"479":508,"480":509,"481":510,"482":511,"483":512,"484":513,"485":514,"486":518,"487":519,"488":520,"489":524,"490":525,"491":527,"492":528,"493":532,"494":535,"495":540,"496":541,"497":543,"498":549,"499":550,"500":553,"501":555,"502":561,"503":563,"504":568,"505":574,"506":576,"507":586,"508":589,"509":596,"510":599,"511":602,"512":609,"513":617,"514":618,"515":619,"516":623,"517":626,"518":627,"519":631,"520":633,"521":634,"522":638,"523":639,"525":641,"526":643,"527":648,"528":650,"529":651,"530":653,"531":654,"532":656,"533":657,"535":661,"536":662,"537":663,"538":670,"539":671,"540":672,"541":675,"542":677,"543":679,"544":688,"545":689,"546":690,"547":691,"548":694,"549":695,"551":698,"553":701,"554":703,"555":704,"556":706,"557":711,"558":716,"559":717,"560":718,"561":721,"562":722,"563":726,"564":730,"565":731,"566":732,"567":734,"568":739,"569":740,"570":741,"571":743,"572":746,"573":748,"574":754,"575":758,"576":762,"577":764,"578":767,"579":768,"580":770,"581":771,"582":773,"583":775,"584":780,"585":782,"586":783,"587":785,"588":790,"589":791,"590":793,"591":797,"592":798,"593":799,"594":800,"595":802,"596":806,"597":808,"598":809,"599":810,"600":816,"601":822,"602":827,"603":829,"604":832,"605":841,"606":842,"607":844,"608":846,"609":847,"610":854,"611":860,"612":861,"613":862,"614":863,"615":864,"616":868,"617":869,"618":872,"619":876,"620":880,"621":881,"622":883,"623":884,"624":890,"625":892,"627":894,"628":896,"629":901,"630":902,"631":904,"632":909,"633":911,"634":922,"635":923,"636":926,"637":928,"638":930,"639":933,"640":935,"641":939,"642":940,"643":942,"644":945,"645":949,"646":955,"647":956,"648":960,"649":963,"650":964,"651":966,"653":972,"654":973,"655":976,"656":979,"657":980,"658":981,"659":983,"660":985,"661":987,"662":989,"663":992,"664":994,"665":998,"666":1004,"667":1011,"668":1012,"669":1014,"670":1015,"671":1017},{"0":0,"1":15,"2":16,"3":38,"4":49,"5":60,"6":67,"7":82,"8":105,"9":110,"10":111,"12":124,"13":135,"14":202,"15":237,"16":245,"17":250,"18":253,"19":259,"20":269,"21":287,"22":289,"23":299,"24":351,"25":374,"26":402,"27":417,"28":441,"29":515,"30":516,"31":521,"32":522,"33":530,"34":534,"35":546,"36":547,"37":570,"38":571,"39":575,"40":577,"41":578,"42":579,"43":583,"44":585,"45":588,"46":590,"47":591,"48":600,"49":601,"50":604,"51":607,"52":610,"53":612,"54":613,"55":620,"56":621,"57":622,"58":624,"59":629,"60":632,"61":636,"62":644,"63":649,"64":659,"65":660,"66":664,"68":666,"69":674,"70":678,"71":680,"72":692,"73":693,"74":696,"75":700,"76":707,"77":709,"78":712,"79":715,"80":735,"81":736,"82":737,"83":742,"84":749,"85":752,"86":753,"87":756,"88":757,"89":761,"90":765,"91":769,"92":774,"93":776,"95":784,"96":788,"97":792,"98":796,"99":803,"100":813,"101":818,"102":820,"103":823,"104":825,"105":826,"106":830,"107":833,"108":835,"109":837,"110":838,"111":848,"112":850,"113":866,"114":874,"115":875,"116":878,"117":885,"118":887,"119":888,"120":889,"121":891,"122":897,"123":906,"124":907,"125":912,"126":914,"127":916,"128":919,"130":931,"131":934,"132":944,"133":946,"134":948,"135":951,"136":952,"137":957,"138":965,"139":970,"140":977,"141":978,"142":984,"143":986,"144":993,"145":995,"146":996,"147":999,"148":1000,"149":1001,"150":1002,"151":1005,"152":1006,"153":1008,"154":1009,"156":1019,"157":1020},{"0":526,"1":531,"2":536,"3":537,"4":538,"6":551,"8":554,"9":558,"10":559,"11":562,"12":566,"13":567,"14":572,"15":580,"17":584,"18":605,"19":608,"20":625,"21":628,"22":637,"23":642,"24":645,"25":646,"26":647,"27":685,"28":705,"29":708,"30":710,"31":713,"32":723,"33":724,"34":725,"35":727,"36":729,"37":733,"38":738,"39":744,"40":747,"41":750,"43":772,"44":786,"45":789,"46":794,"47":801,"48":804,"49":812,"51":821,"52":831,"53":840,"54":849,"55":851,"56":871,"58":879,"59":899,"60":900,"61":908,"62":910,"63":913,"64":929,"65":937,"66":959,"67":974,"68":990,"69":1022},{"0":545,"2":560,"3":592,"4":598,"5":603,"6":606,"8":635,"9":652,"10":681,"11":684,"12":714,"13":719,"15":763,"16":777,"17":795,"18":805,"19":811,"20":814,"21":815,"22":839,"23":843,"24":845,"25":852,"26":853,"27":870,"28":905,"29":915,"30":920,"31":932,"32":941,"33":947,"34":950,"35":988},{"0":542,"1":548,"3":581,"4":587,"5":655,"6":667,"8":686,"9":720,"10":766,"11":779,"12":787,"13":817,"14":824,"21":936,"22":961,"23":968,"24":982,"25":1013,"26":1016},{"0":523,"1":565,"2":593,"4":669,"5":702,"6":755,"7":760,"8":781,"9":855,"11":858,"12":886,"13":971,"15":1007,"16":1021},{"2":611,"4":615,"7":807,"9":882,"11":938,"12":991},{"0":556,"1":564,"3":595,"5":673,"6":683,"7":728,"8":895,"9":953},{"0":533,"2":865,"3":898,"4":921,"5":927,"6":943,"7":1010},{"3":958},{"1":856,"3":1003},[]]