[{"0":0,"3":3,"4":4,"5":6,"7":8,"8":9,"9":10,"11":12,"12":14,"14":16,"16":18,"17":19,"21":24,"23":26,"24":27,"25":28,"26":29,"30":33,"31":34,"32":35,"33":36,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":46,"44":49,"45":50,"46":51,"48":53,"49":54,"51":56,"53":58,"54":59,"55":60,"57":63,"58":64,"59":65,"61":68,"62":69,"63":70,"64":71,"65":72,"66":73,"67":74,"68":75,"69":76,"71":78,"72":79,"73":80,"74":81,"75":82,"76":84,"77":85,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"85":94,"87":96,"88":97,"89":98,"91":100,"93":102,"94":103,"95":104,"96":105,"98":107,"99":108,"100":109,"101":110,"102":111,"103":112,"104":113,"106":115,"107":116,"109":118,"111":120,"114":123,"115":124,"116":125,"117":126,"118":127,"119":128,"122":131,"123":132,"124":133,"125":134,"128":137,"129":138,"130":139,"131":140,"132":141,"135":144,"136":145,"137":146,"138":147,"139":148,"140":149,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"150":159,"151":160,"153":162,"154":163,"155":164,"157":166,"158":167,"159":168,"160":169,"161":170,"163":172,"164":173,"165":174,"166":175,"167":176,"168":177,"170":179,"171":180,"172":181,"173":182,"174":183,"175":185,"178":188,"181":191,"182":192,"183":193,"184":195,"185":196,"186":197,"191":202,"194":205,"195":206,"196":207,"200":211,"201":212,"202":213,"203":214,"204":215,"205":216,"207":218,"208":219,"209":220,"210":221,"211":222,"212":223,"213":224,"214":225,"215":226,"216":227,"217":228,"218":230,"219":231,"220":233,"221":234,"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":248,"235":250,"236":251,"237":253,"238":254,"239":255,"240":256,"241":257,"242":259,"243":260,"244":261,"246":264,"248":266,"250":268,"251":269,"252":270,"253":271,"254":272,"255":273,"256":275,"257":277,"258":278,"259":280,"260":281,"261":283,"263":285,"264":286,"267":289,"268":290,"270":293,"271":294,"272":296,"273":297,"275":300,"276":301,"277":302,"278":303,"279":304,"280":306,"281":307,"282":308,"286":312,"287":313,"288":314,"290":316,"291":317,"292":319,"294":321,"295":322,"296":323,"297":324,"298":325,"299":326,"300":327,"303":330,"304":331,"305":332,"306":333,"307":334,"308":335,"309":336,"310":337,"312":339,"313":340,"315":342,"316":343,"317":345,"318":346,"319":347,"321":349,"322":350,"323":351,"326":354,"329":357,"330":358,"331":359,"332":360,"333":361,"334":362,"335":363,"336":364,"337":365,"338":367,"339":368,"340":369,"341":370,"342":371,"343":372,"344":373,"345":374,"346":375,"347":377,"348":378,"349":379,"351":381,"352":382,"353":383,"354":384,"355":385,"356":386,"357":387,"358":388,"361":391,"362":392,"363":393,"365":395,"367":397,"370":400,"371":401,"374":404,"375":405,"376":406,"377":407,"378":408,"379":409,"380":410,"382":412,"383":413,"384":414,"385":415,"387":417,"388":418,"390":420,"391":421,"392":422,"393":423,"394":424,"395":426,"396":427,"397":429,"398":430,"399":431,"400":432,"401":433,"402":434,"403":435,"404":436,"405":437,"406":438,"407":439,"408":440,"411":443,"412":445,"414":447,"415":448,"416":449,"417":450,"418":451,"419":452,"420":453,"421":454,"422":455,"423":456,"425":458,"426":459,"428":461,"429":462,"430":463,"431":464,"432":465,"433":466,"436":469,"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":486,"452":488,"453":489,"454":490,"455":491,"456":492,"457":493,"458":494,"459":495,"460":496,"461":497,"462":498,"463":500,"464":501,"465":502,"466":503,"467":504,"468":505,"469":506,"471":508,"472":509,"473":510,"474":511,"475":514,"476":519,"477":526,"478":528,"479":546,"480":552,"484":576,"485":579,"486":589,"487":601,"488":627,"489":630,"490":640,"491":651,"492":654,"493":658,"494":659,"495":665,"496":666,"497":672,"498":674,"499":675,"500":677,"501":678,"502":679,"503":682,"504":688,"505":696,"506":707,"507":708,"508":709,"510":715,"511":720,"513":734,"514":735,"517":746,"519":751,"520":761,"521":764,"522":777,"523":779,"524":786,"525":790,"526":795,"527":797,"528":800,"529":810,"530":815,"531":825,"532":827,"533":828,"534":838,"535":841,"536":847,"538":852,"539":854,"540":861,"541":864,"543":870,"544":871,"546":880,"548":889,"549":894,"551":898,"552":903,"553":906,"554":914,"555":920,"556":921,"557":928,"558":931,"559":944,"560":951,"561":960,"562":967,"563":971,"564":976,"565":977,"566":985,"567":989,"568":990,"569":994,"570":1009,"573":1016,"574":1019,"575":1022},{"0":5,"2":21,"3":37,"5":66,"6":83,"7":86,"8":184,"9":194,"10":229,"11":232,"13":249,"14":258,"15":262,"16":274,"18":279,"20":291,"23":305,"25":344,"26":366,"28":425,"30":444,"32":484,"33":485,"34":499,"35":513,"36":517,"37":523,"38":534,"39":536,"40":537,"41":539,"42":544,"43":545,"44":559,"45":561,"46":569,"47":574,"48":580,"49":583,"50":588,"51":602,"52":605,"53":607,"54":610,"55":617,"56":621,"57":624,"59":643,"60":646,"61":649,"62":650,"63":664,"64":668,"65":670,"66":673,"67":680,"68":691,"69":698,"71":701,"72":704,"73":706,"74":714,"75":716,"76":725,"77":730,"78":732,"79":737,"80":747,"81":769,"82":773,"83":774,"84":776,"85":783,"86":785,"87":791,"88":811,"90":831,"91":833,"94":845,"95":851,"96":853,"97":856,"98":858,"100":866,"101":868,"102":869,"103":877,"105":884,"106":888,"107":892,"109":900,"110":905,"111":907,"112":918,"113":924,"115":933,"116":936,"117":937,"118":938,"119":941,"120":948,"125":969,"126":981,"127":983,"128":986,"129":991,"130":992,"131":993,"132":995,"133":997,"134":998,"135":1003,"136":1005,"137":1008,"138":1010},{"0":48,"1":252,"2":515,"3":520,"4":531,"6":533,"7":548,"8":549,"9":562,"10":566,"13":587,"14":609,"16":618,"17":629,"18":641,"19":644,"20":661,"21":667,"22":671,"23":681,"24":685,"26":713,"27":718,"29":770,"30":778,"33":793,"36":817,"37":818,"39":823,"40":830,"42":842,"44":855,"45":863,"46":879,"48":910,"49":912,"50":926,"51":929,"52":930,"53":952,"54":972},{"0":542,"1":551,"2":556,"3":570,"4":578,"6":596,"7":603,"9":622,"10":623,"11":636,"12":653,"15":683,"16":684,"17":699,"18":710,"20":740,"22":760,"23":780,"24":781,"25":798,"27":808,"29":886,"30":902,"31":909,"32":915,"34":950,"35":954,"36":958,"37":962,"38":988},{"0":516,"1":525,"2":553,"5":599,"8":620,"9":628,"10":639,"11":645,"12":660,"14":705,"15":712,"16":738,"18":742,"19":744,"20":753,"21":766,"23":804,"24":812,"25":840,"26":844,"27":857,"29":881,"30":916,"31":922,"32":925,"33":970},{"0":535,"1":558,"2":600,"3":616,"4":697,"5":727,"6":731,"7":733,"8":762,"9":772,"11":799,"12":801,"13":806,"14":843,"15":872,"16":885,"17":887,"18":901,"19":919,"20":940,"21":942,"22":943,"23":945,"24":949,"25":973,"26":980},[512,521,522,530,543,598,612,613,625,637,669,694,695,719,721,736,743,765,819,848,897,935,946,974,979,982,1012],[550,567,582,591,594,606,686,748,775,802,836,908,911,913,923,947,959,961,963,966,1020,1023],{"0":538,"1":577,"3":597,"5":656,"6":690,"7":702,"8":756,"9":767,"10":794,"11":796,"13":826,"14":891,"15":999,"16":1000},{"1":524,"2":573,"3":689,"4":692,"5":693,"6":723,"7":792,"9":822,"10":846,"11":862,"12":876,"13":878,"14":917,"15":932,"16":965,"17":1002,"18":1018},[557,593,619,638,648,676,752,768,771,832,873,984,1006],{"1":758,"2":759,"3":763,"4":860,"5":890,"6":953,"7":996,"8":1017},{"0":529,"1":540,"2":560,"3":592,"4":595,"5":631,"6":642,"7":652,"8":749,"9":787,"11":874,"12":957},{"1":547,"2":565,"3":626,"4":647,"6":754,"7":814,"8":893,"9":904},[555,581,614,635,978],{"0":568,"1":687,"2":717,"3":757,"4":820,"6":1004},[634,663,1001],[554,1007,1021],[541,975],[]]