[{"0":0,"2":2,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":16,"16":18,"18":20,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"29":34,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":43,"38":44,"39":45,"40":46,"42":48,"43":49,"44":50,"45":51,"46":53,"47":54,"48":55,"49":56,"50":57,"52":59,"53":60,"54":61,"55":62,"57":65,"58":66,"59":67,"61":69,"62":70,"63":72,"64":73,"67":76,"68":77,"69":79,"70":81,"71":82,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"80":91,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"103":114,"104":115,"105":116,"106":117,"107":118,"111":122,"112":124,"113":125,"114":126,"115":127,"117":129,"123":136,"124":137,"125":138,"126":139,"127":140,"129":142,"131":145,"132":146,"133":147,"134":148,"135":149,"136":150,"137":151,"138":152,"139":154,"140":156,"141":157,"143":159,"144":160,"145":161,"146":162,"147":164,"148":165,"151":168,"152":169,"153":170,"154":171,"155":172,"156":173,"157":174,"158":175,"159":176,"160":177,"161":179,"162":180,"163":181,"167":186,"168":187,"169":189,"172":193,"173":194,"174":195,"176":198,"177":199,"178":200,"179":201,"180":203,"181":204,"183":206,"184":207,"185":208,"186":209,"188":214,"189":215,"190":216,"191":217,"192":218,"193":219,"195":221,"196":222,"197":223,"198":224,"199":225,"200":226,"201":228,"202":229,"203":230,"204":231,"205":232,"206":233,"207":234,"208":235,"209":236,"210":237,"211":238,"212":239,"213":240,"214":241,"215":242,"216":243,"217":244,"218":245,"219":246,"220":247,"221":248,"222":249,"223":250,"224":251,"225":252,"226":253,"227":254,"229":256,"230":257,"231":259,"232":260,"234":262,"235":263,"236":264,"237":265,"238":266,"239":267,"240":268,"241":269,"242":270,"243":271,"244":273,"245":274,"246":275,"248":279,"250":281,"252":283,"253":284,"254":285,"255":286,"256":287,"257":288,"258":289,"260":291,"261":292,"262":293,"263":295,"264":296,"265":297,"266":298,"267":299,"268":300,"269":302,"270":303,"271":304,"272":305,"274":307,"275":308,"276":309,"277":310,"278":311,"279":315,"281":317,"282":318,"283":319,"284":320,"285":321,"286":322,"287":323,"289":325,"291":327,"292":328,"293":330,"294":331,"295":332,"296":333,"297":334,"299":336,"302":339,"303":340,"304":341,"305":342,"306":343,"308":345,"309":346,"310":348,"311":349,"312":350,"313":351,"314":352,"316":354,"317":355,"318":356,"319":357,"320":358,"321":359,"322":360,"323":361,"324":362,"325":363,"326":364,"328":367,"329":368,"331":370,"332":371,"333":372,"335":376,"336":377,"337":378,"338":379,"339":380,"340":381,"341":382,"344":385,"345":386,"346":387,"347":388,"348":389,"349":392,"351":394,"352":395,"356":399,"357":400,"358":401,"359":402,"360":403,"361":406,"362":407,"363":408,"364":409,"365":410,"366":411,"367":412,"368":413,"370":417,"371":418,"372":420,"373":421,"374":423,"376":425,"377":426,"379":428,"380":429,"381":431,"382":432,"383":433,"385":435,"386":436,"388":438,"389":439,"390":440,"391":442,"392":443,"394":445,"395":446,"396":447,"397":448,"398":449,"399":450,"400":451,"401":452,"402":453,"403":454,"404":455,"405":456,"406":457,"407":458,"408":459,"409":460,"410":461,"412":463,"413":464,"414":465,"415":466,"416":467,"417":470,"418":471,"420":473,"421":475,"422":476,"423":477,"424":478,"425":479,"426":480,"427":482,"428":483,"429":484,"430":485,"431":486,"432":487,"433":491,"434":492,"435":493,"436":494,"437":495,"438":496,"439":497,"440":498,"441":501,"443":503,"444":504,"445":505,"446":506,"447":508,"448":509,"450":525,"451":528,"452":531,"453":540,"454":543,"455":546,"456":548,"457":550,"458":551,"459":556,"461":564,"462":580,"463":594,"464":601,"465":603,"466":615,"467":622,"468":628,"469":632,"470":634,"471":640,"472":641,"473":646,"474":665,"475":671,"476":677,"477":686,"479":700,"480":703,"481":705,"482":713,"484":727,"485":733,"486":745,"487":753,"488":754,"489":755,"490":759,"491":768,"492":769,"493":773,"494":777,"495":781,"496":783,"497":784,"498":786,"499":797,"500":801,"501":803,"502":815,"503":816,"504":830,"505":831,"506":833,"507":847,"508":853,"509":863,"510":870,"511":874,"512":875,"513":881,"514":882,"515":886,"516":894,"517":910,"518":912,"519":924,"520":932,"521":936,"522":940,"523":941,"524":942,"525":949,"526":951,"527":954,"528":976,"529":978,"530":983,"531":994,"532":1000,"533":1004,"535":1013,"536":1016,"537":1023},{"0":15,"1":17,"2":22,"3":32,"4":33,"5":42,"6":52,"7":63,"8":71,"9":78,"10":123,"11":130,"12":143,"13":153,"14":155,"16":178,"17":182,"18":188,"19":192,"20":197,"21":202,"22":210,"23":212,"24":213,"25":227,"26":258,"27":272,"28":276,"29":277,"30":294,"31":301,"32":312,"33":313,"34":314,"35":347,"36":366,"37":373,"38":374,"39":390,"40":391,"41":404,"42":405,"44":416,"45":419,"46":422,"47":430,"48":441,"49":468,"50":469,"51":474,"52":481,"53":488,"54":489,"55":490,"56":499,"57":500,"58":507,"59":511,"60":515,"61":517,"63":519,"64":520,"65":527,"66":529,"67":533,"68":534,"69":536,"70":539,"71":549,"72":552,"73":554,"74":558,"75":559,"76":560,"77":569,"78":571,"79":574,"80":579,"81":581,"82":583,"83":586,"84":588,"85":590,"86":593,"87":598,"88":606,"90":609,"91":610,"92":614,"93":619,"94":621,"95":624,"96":630,"97":635,"98":637,"99":638,"100":639,"101":649,"102":651,"103":657,"104":668,"105":672,"106":676,"107":679,"108":684,"109":695,"110":701,"111":702,"112":704,"113":708,"114":709,"115":714,"116":715,"117":717,"118":734,"119":738,"121":748,"122":750,"123":761,"124":766,"125":771,"126":776,"127":778,"128":788,"129":789,"130":790,"131":791,"132":796,"133":798,"134":802,"135":804,"136":809,"138":811,"139":819,"140":822,"142":824,"143":825,"144":829,"145":835,"146":836,"147":841,"148":842,"149":858,"150":867,"151":876,"153":879,"154":880,"155":888,"156":895,"157":902,"158":907,"159":913,"160":922,"161":929,"162":945,"163":946,"164":947,"165":953,"166":959,"167":960,"168":970,"169":980,"170":989,"171":993,"172":995,"173":1003,"175":1022},{"0":80,"1":329,"2":523,"3":532,"4":545,"5":555,"6":565,"7":568,"8":584,"9":587,"10":591,"12":604,"13":607,"14":612,"15":625,"16":633,"17":655,"18":663,"20":682,"21":683,"22":687,"23":689,"24":690,"25":693,"26":698,"27":710,"28":720,"29":724,"30":729,"31":740,"33":744,"34":749,"35":752,"36":770,"37":782,"38":794,"39":805,"40":813,"41":814,"42":826,"43":840,"45":851,"46":857,"47":859,"48":861,"49":869,"50":887,"51":891,"52":898,"53":903,"54":906,"55":915,"56":926,"57":927,"58":928,"59":934,"60":935,"61":938,"62":943,"63":944,"64":956,"65":962,"66":968,"67":969,"68":979,"69":991,"70":1006,"71":1007,"72":1008},{"0":521,"1":561,"2":567,"3":576,"4":611,"5":613,"6":623,"7":669,"9":678,"10":688,"11":699,"12":706,"15":722,"17":736,"18":739,"19":741,"20":743,"21":751,"22":757,"23":762,"24":764,"25":772,"26":787,"27":792,"28":800,"29":808,"30":832,"32":855,"33":872,"34":873,"35":884,"36":889,"37":890,"38":896,"40":908,"41":909,"42":916,"43":918,"44":923,"45":937,"46":939,"47":952,"48":967,"49":975,"50":982,"51":985,"52":988,"53":1014},{"0":512,"1":514,"2":516,"3":547,"4":573,"6":605,"7":629,"8":654,"10":670,"11":681,"12":685,"14":711,"15":723,"16":746,"17":763,"18":765,"19":774,"20":779,"21":795,"22":806,"23":820,"25":837,"26":838,"27":839,"28":850,"29":854,"30":883,"31":892,"32":919,"33":930,"34":933,"35":971,"36":972,"37":984,"38":987,"39":1010,"40":1017,"42":1021},{"1":542,"2":596,"3":597,"4":600,"5":616,"6":617,"7":627,"8":631,"9":642,"10":644,"11":658,"12":673,"13":680,"14":716,"16":732,"17":737,"18":758,"19":760,"21":845,"22":864,"24":900,"25":904,"26":921,"27":950,"30":990,"32":1011,"33":1012,"34":1018},{"0":526,"2":562,"4":592,"6":647,"7":648,"9":660,"10":661,"12":691,"13":849,"16":893,"17":899,"19":948,"20":961,"22":974,"23":992,"24":1001},{"0":524,"1":544,"2":557,"3":566,"7":756,"8":846,"9":920,"11":966},{"0":513,"1":530,"2":537,"3":538,"5":578,"6":602,"7":618,"8":694,"9":719,"11":775,"12":812,"14":865,"15":917,"16":977,"17":981},{"0":585,"1":675,"2":785,"5":817,"7":856,"8":901,"10":958},{"0":636,"3":692,"5":862,"6":866},{"0":553,"2":577,"3":595,"6":726,"8":818,"12":965,"14":998,"15":999},{"0":570,"2":848,"3":871},{"0":541,"3":799,"4":1002},[]]