[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":25,"24":26,"26":28,"27":29,"28":30,"30":32,"31":33,"32":34,"35":37,"36":38,"37":39,"38":40,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":55,"54":56,"55":57,"56":58,"57":59,"58":60,"59":61,"60":62,"61":63,"62":64,"63":65,"64":66,"65":67,"66":68,"67":69,"68":70,"70":72,"71":73,"72":74,"73":75,"74":76,"75":77,"76":78,"77":79,"78":81,"79":82,"80":83,"81":84,"83":86,"84":87,"85":88,"86":89,"87":90,"89":92,"90":93,"91":94,"92":95,"93":96,"94":97,"95":98,"96":99,"97":100,"98":101,"101":104,"102":105,"103":106,"104":107,"105":108,"106":109,"107":110,"108":111,"109":112,"110":113,"111":114,"112":115,"113":116,"114":117,"115":118,"116":119,"117":120,"118":121,"119":123,"120":124,"123":127,"124":128,"125":129,"127":131,"128":132,"129":133,"130":134,"131":135,"132":136,"134":138,"136":140,"137":141,"139":143,"140":144,"141":145,"142":146,"143":147,"144":148,"145":149,"146":150,"147":151,"148":152,"149":153,"150":154,"151":155,"152":156,"153":157,"154":158,"155":159,"156":160,"157":161,"158":162,"159":163,"160":164,"161":165,"162":166,"163":167,"164":168,"165":169,"166":170,"167":172,"169":174,"170":175,"171":176,"172":177,"174":179,"175":181,"176":182,"177":184,"178":185,"179":186,"180":187,"181":188,"182":189,"183":190,"184":191,"185":192,"186":193,"187":194,"188":196,"189":197,"190":198,"191":199,"192":200,"193":201,"194":202,"195":203,"196":204,"197":205,"198":206,"200":208,"202":210,"204":213,"205":214,"206":215,"207":216,"208":218,"209":219,"210":220,"211":221,"212":222,"213":224,"214":225,"215":227,"216":228,"217":229,"218":230,"219":231,"220":232,"221":233,"222":235,"223":236,"224":237,"225":238,"226":239,"227":240,"228":241,"229":242,"230":243,"231":244,"232":245,"233":246,"234":247,"235":248,"236":249,"237":250,"238":252,"239":253,"240":254,"241":255,"242":256,"243":257,"244":258,"245":259,"246":260,"247":261,"248":262,"249":263,"250":264,"251":265,"252":266,"253":267,"254":268,"255":269,"256":270,"257":271,"258":272,"259":273,"260":274,"261":275,"262":276,"263":277,"264":278,"265":279,"266":280,"267":281,"268":282,"269":283,"270":284,"271":285,"272":287,"273":288,"274":289,"277":292,"278":293,"279":294,"280":295,"281":296,"282":297,"284":299,"285":301,"286":302,"287":303,"288":304,"290":306,"291":308,"292":309,"293":310,"294":311,"295":312,"296":313,"297":315,"298":316,"299":317,"301":320,"303":322,"304":323,"306":325,"307":326,"308":327,"309":328,"310":329,"311":331,"312":332,"313":333,"315":336,"316":337,"317":338,"318":339,"319":340,"320":341,"321":343,"322":344,"323":345,"324":346,"325":348,"326":349,"327":350,"328":351,"329":352,"330":353,"331":354,"332":355,"333":356,"334":357,"335":358,"336":359,"337":361,"338":362,"339":363,"340":364,"341":365,"342":366,"343":367,"344":368,"345":369,"346":370,"347":371,"348":372,"349":373,"350":374,"351":375,"352":376,"353":377,"354":378,"355":379,"356":381,"357":382,"358":383,"359":384,"360":385,"362":388,"363":389,"365":391,"368":394,"369":395,"370":397,"371":398,"372":399,"374":402,"375":403,"376":404,"377":405,"378":406,"379":407,"380":408,"381":409,"382":410,"384":412,"385":413,"386":414,"387":417,"389":419,"390":420,"391":422,"392":423,"393":424,"394":425,"395":426,"396":427,"397":428,"398":430,"399":431,"400":432,"401":433,"402":434,"403":435,"405":437,"406":438,"407":439,"408":440,"409":441,"411":443,"412":444,"413":446,"414":447,"415":448,"416":449,"417":450,"418":451,"419":453,"420":454,"421":455,"422":456,"423":457,"424":458,"425":459,"426":460,"427":461,"428":462,"430":464,"431":465,"432":466,"433":467,"434":468,"435":469,"436":470,"437":471,"438":472,"439":473,"440":474,"441":475,"442":476,"443":477,"444":478,"445":479,"446":480,"447":481,"448":482,"449":483,"450":484,"451":485,"452":486,"453":487,"454":488,"455":489,"456":490,"457":491,"458":492,"459":493,"460":494,"461":496,"462":497,"463":499,"464":500,"465":501,"466":502,"467":503,"468":504,"469":505,"470":506,"471":507,"472":508,"473":509,"474":510,"475":511,"476":514,"477":515,"478":517,"479":518,"480":522,"481":524,"482":525,"483":528,"484":536,"485":539,"486":540,"487":543,"488":544,"489":548,"490":550,"491":552,"492":553,"493":554,"494":555,"495":558,"496":562,"497":571,"498":573,"499":576,"500":577,"501":579,"502":582,"503":583,"504":586,"505":588,"506":589,"507":590,"508":592,"509":594,"510":596,"511":597,"512":598,"513":599,"514":601,"515":602,"516":603,"517":606,"518":608,"519":611,"520":612,"521":614,"522":615,"523":616,"524":617,"525":618,"526":624,"527":626,"528":628,"529":632,"530":633,"531":635,"532":642,"533":644,"534":645,"535":649,"536":652,"537":653,"538":656,"539":658,"540":659,"541":662,"542":663,"543":666,"544":677,"545":682,"546":683,"547":686,"548":688,"549":691,"550":695,"551":697,"552":698,"553":704,"554":708,"555":709,"556":710,"557":711,"558":712,"559":714,"560":717,"561":718,"562":720,"563":723,"564":726,"565":731,"566":733,"567":734,"568":735,"569":736,"570":737,"571":741,"572":749,"573":753,"574":754,"575":755,"576":757,"577":758,"578":761,"579":765,"580":769,"581":771,"582":778,"583":783,"584":785,"585":789,"586":790,"587":791,"588":797,"589":799,"590":805,"591":806,"592":811,"593":813,"594":814,"595":817,"596":818,"597":820,"598":822,"599":824,"600":828,"601":838,"602":839,"603":842,"604":846,"605":849,"606":851,"607":852,"608":853,"609":855,"610":856,"611":857,"612":860,"613":867,"614":872,"615":874,"616":875,"617":877,"618":878,"619":879,"620":880,"621":885,"622":890,"623":892,"624":893,"625":894,"626":900,"627":907,"628":909,"629":913,"630":917,"631":921,"632":928,"633":930,"634":931,"635":932,"636":934,"637":936,"638":939,"639":940,"640":945,"641":951,"642":954,"643":955,"644":956,"645":961,"646":964,"647":965,"648":967,"649":969,"650":975,"651":981,"652":983,"653":984,"654":989,"655":990,"656":992,"657":993,"658":994,"659":997,"660":999,"661":1001,"663":1005,"664":1007,"665":1009,"666":1010,"667":1020,"668":1022},{"0":7,"1":24,"2":80,"3":122,"4":171,"6":183,"7":195,"8":211,"9":217,"10":223,"11":226,"12":234,"13":251,"14":286,"15":300,"16":307,"17":314,"18":330,"19":335,"20":347,"21":360,"22":380,"23":386,"24":396,"25":415,"26":416,"27":421,"28":429,"29":445,"30":452,"31":495,"32":498,"33":516,"34":519,"35":520,"36":529,"37":530,"38":534,"39":537,"40":542,"41":546,"42":549,"43":561,"44":567,"45":568,"46":585,"47":593,"48":610,"49":621,"50":622,"51":625,"52":637,"53":639,"54":647,"55":648,"56":654,"57":657,"58":665,"59":667,"60":672,"61":674,"62":675,"63":676,"64":694,"65":703,"66":707,"68":727,"69":732,"70":745,"71":751,"72":766,"73":773,"74":774,"75":776,"76":777,"77":779,"78":784,"79":788,"80":793,"81":801,"82":802,"83":815,"84":816,"85":819,"86":826,"87":831,"88":841,"89":859,"90":863,"91":869,"92":871,"93":881,"94":888,"95":895,"96":896,"97":902,"98":903,"99":905,"100":906,"101":919,"102":933,"103":937,"104":943,"105":944,"106":947,"107":966,"108":974,"109":976,"110":979,"111":982,"112":987,"113":998,"114":1003,"115":1004,"116":1013,"117":1017,"118":1018,"119":1021},{"0":319,"1":342,"2":400,"3":521,"4":532,"5":533,"6":541,"8":584,"10":623,"11":636,"12":650,"13":655,"14":661,"15":664,"16":681,"18":693,"19":700,"20":701,"21":719,"22":728,"23":738,"24":744,"25":752,"26":756,"27":760,"28":786,"29":792,"30":800,"31":807,"32":809,"33":810,"34":821,"35":823,"36":827,"37":829,"38":834,"39":835,"40":836,"41":844,"42":854,"43":870,"44":891,"45":898,"46":904,"47":914,"48":924,"49":927,"50":941,"51":942,"52":952,"53":963,"54":986,"55":1011,"56":1015,"57":1023},{"0":512,"1":531,"2":535,"3":538,"4":557,"5":559,"7":566,"8":569,"9":600,"10":605,"11":619,"12":630,"13":634,"14":638,"15":651,"18":670,"19":671,"20":678,"21":685,"23":699,"24":705,"25":715,"26":725,"27":729,"28":730,"29":740,"30":746,"31":750,"32":763,"33":768,"34":787,"35":796,"36":798,"37":808,"38":812,"39":830,"40":832,"41":837,"42":876,"43":884,"44":910,"45":912,"46":916,"47":918,"48":938,"50":950,"51":958,"52":959,"53":971,"54":977,"55":988,"56":995,"57":1006,"58":1014,"59":1019},{"0":527,"1":547,"4":574,"5":578,"7":581,"8":607,"9":629,"12":641,"13":643,"14":684,"15":722,"16":742,"17":759,"18":767,"19":781,"20":845,"23":865,"24":866,"25":873,"26":882,"27":889,"28":911,"29":915,"30":920,"31":926,"32":929,"33":957,"34":968,"35":1000,"36":1016},{"1":565,"3":613,"4":690,"5":706,"8":739,"9":743,"10":748,"11":764,"12":840,"13":886,"14":899,"15":901,"16":925,"17":953,"19":980,"21":996,"22":1012},{"0":526,"1":545,"3":646,"4":669,"5":673,"7":762,"8":770,"9":782,"10":795,"11":803,"14":858,"16":935,"19":972,"20":978},{"0":556,"1":609,"4":775,"6":864,"8":883,"10":908},{"0":523,"3":747,"4":780,"6":861,"8":923},{"0":575,"3":713,"4":794},{"1":825},[]]