[{"0":0,"1":1,"2":2,"3":3,"6":6,"7":7,"8":8,"9":10,"10":11,"11":12,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":21,"19":23,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":37,"33":39,"35":41,"37":44,"38":45,"39":46,"40":47,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"52":59,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":68,"62":69,"63":70,"64":72,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"74":85,"75":86,"77":88,"78":89,"79":91,"80":92,"81":93,"82":94,"83":95,"84":96,"86":98,"87":99,"88":100,"89":102,"90":103,"91":104,"93":106,"94":108,"95":109,"96":110,"97":111,"101":116,"102":117,"103":118,"105":120,"107":122,"109":125,"113":129,"114":130,"115":131,"118":134,"119":135,"121":137,"122":139,"123":140,"124":141,"125":142,"126":143,"128":145,"129":146,"130":147,"131":148,"132":149,"134":151,"135":152,"136":153,"137":154,"138":155,"139":156,"140":157,"141":158,"142":159,"143":160,"146":163,"147":164,"148":165,"149":166,"150":167,"151":168,"153":170,"154":171,"155":172,"156":173,"157":174,"158":175,"159":176,"160":177,"161":178,"162":179,"164":182,"165":184,"166":185,"167":186,"169":188,"170":189,"171":190,"172":191,"174":193,"176":195,"177":196,"178":197,"179":198,"180":200,"182":203,"183":204,"184":205,"185":206,"186":207,"189":210,"190":211,"192":213,"193":214,"194":215,"195":216,"197":218,"198":219,"200":223,"201":224,"202":225,"203":226,"205":229,"206":230,"207":231,"208":232,"209":233,"210":234,"211":235,"212":236,"213":237,"214":238,"215":239,"216":240,"217":241,"218":242,"220":244,"221":246,"222":247,"223":248,"224":249,"225":250,"226":251,"227":252,"228":253,"229":254,"230":255,"232":257,"233":258,"234":259,"235":261,"236":262,"237":263,"238":264,"239":265,"240":266,"241":267,"242":268,"243":269,"244":270,"245":271,"249":275,"250":276,"251":277,"252":278,"253":279,"254":281,"255":282,"256":283,"257":284,"258":285,"259":286,"260":288,"262":290,"263":291,"264":292,"265":293,"266":294,"268":296,"269":297,"270":298,"271":299,"272":300,"273":301,"274":302,"275":303,"276":304,"277":305,"278":307,"279":308,"280":309,"281":310,"283":312,"284":313,"287":316,"288":317,"290":319,"291":320,"292":321,"293":322,"294":323,"295":324,"296":325,"297":326,"298":327,"300":329,"301":330,"303":332,"304":333,"305":334,"306":335,"307":336,"308":337,"309":338,"310":340,"311":341,"312":342,"313":343,"314":344,"315":345,"316":346,"317":347,"318":348,"319":349,"320":350,"321":351,"322":352,"323":353,"324":354,"325":355,"326":356,"327":357,"329":360,"330":362,"331":363,"332":364,"333":365,"334":367,"335":369,"336":370,"337":371,"338":372,"339":373,"341":375,"342":376,"344":379,"345":380,"347":382,"348":383,"349":385,"350":386,"351":387,"352":388,"354":390,"355":392,"356":393,"357":394,"358":395,"359":396,"360":397,"361":398,"362":400,"363":401,"364":402,"365":403,"366":404,"367":405,"368":406,"369":408,"371":410,"372":411,"373":412,"374":413,"375":414,"376":415,"377":416,"378":417,"379":418,"380":419,"381":420,"383":422,"384":423,"385":424,"386":425,"387":426,"389":429,"391":431,"392":432,"393":433,"394":434,"396":436,"398":438,"399":439,"400":440,"401":441,"402":442,"404":444,"405":445,"406":446,"407":447,"409":449,"410":450,"411":451,"412":452,"413":453,"414":454,"415":455,"416":456,"418":459,"419":460,"420":461,"421":462,"422":463,"424":466,"425":467,"428":470,"429":471,"430":472,"431":473,"432":474,"435":477,"436":478,"437":479,"438":480,"439":481,"440":482,"441":483,"442":484,"443":486,"444":487,"445":488,"446":489,"447":490,"448":491,"449":492,"450":493,"452":495,"453":496,"455":498,"456":499,"457":501,"458":503,"459":504,"460":505,"461":506,"462":507,"463":508,"464":509,"465":510,"466":511,"467":515,"468":527,"469":531,"470":535,"471":537,"472":548,"473":550,"474":551,"475":561,"476":567,"477":572,"479":579,"480":580,"482":583,"483":601,"484":611,"485":615,"486":627,"487":629,"488":633,"489":634,"490":652,"491":657,"492":664,"493":668,"494":670,"495":676,"496":677,"497":683,"498":684,"499":687,"500":693,"501":697,"504":713,"505":721,"506":724,"507":730,"508":740,"509":749,"510":759,"511":767,"512":770,"513":781,"515":790,"516":794,"517":799,"518":803,"519":805,"520":809,"521":816,"522":817,"523":819,"525":822,"526":827,"527":833,"529":846,"530":849,"531":851,"532":854,"533":856,"534":858,"535":876,"536":895,"537":904,"538":905,"539":906,"540":910,"541":918,"542":928,"543":931,"545":949,"546":962,"547":965,"548":1002,"549":1006},{"0":9,"2":20,"3":22,"4":36,"5":43,"6":71,"7":73,"8":75,"9":84,"11":101,"12":107,"13":114,"14":123,"15":138,"16":181,"18":202,"19":221,"20":222,"22":245,"23":260,"24":280,"25":287,"26":306,"27":339,"28":359,"29":361,"30":366,"31":368,"32":377,"33":384,"34":391,"36":407,"37":465,"38":485,"39":500,"40":502,"41":513,"42":520,"43":521,"44":523,"45":528,"46":532,"47":533,"48":538,"49":540,"50":542,"51":547,"52":553,"53":562,"54":570,"55":571,"56":574,"57":577,"58":584,"59":587,"61":591,"63":593,"64":598,"65":602,"66":605,"67":618,"68":622,"69":626,"70":628,"71":630,"72":639,"73":646,"74":649,"75":678,"76":682,"77":686,"78":690,"79":700,"80":701,"81":703,"82":710,"83":714,"84":716,"85":719,"86":723,"87":728,"88":733,"89":734,"90":741,"92":743,"93":744,"94":746,"95":751,"96":755,"97":763,"98":766,"99":771,"100":777,"101":785,"102":788,"103":795,"104":797,"105":798,"106":800,"107":802,"108":806,"109":812,"110":813,"111":814,"112":823,"113":829,"114":832,"115":834,"116":839,"117":840,"118":845,"119":850,"120":852,"121":860,"122":868,"123":870,"124":874,"125":877,"126":883,"127":886,"128":897,"129":901,"130":909,"131":912,"132":913,"133":915,"134":917,"135":923,"136":924,"137":925,"138":929,"139":935,"140":937,"141":939,"142":947,"143":950,"144":956,"145":957,"146":961,"147":971,"148":973,"149":975,"150":976,"151":987,"152":989,"154":998,"155":999,"156":1007,"157":1014,"158":1019,"159":1021},{"0":38,"1":199,"2":428,"3":457,"4":516,"5":524,"6":525,"7":539,"9":563,"10":565,"11":566,"12":569,"13":588,"14":596,"15":607,"16":638,"18":648,"19":650,"20":654,"21":658,"22":663,"24":681,"25":689,"26":691,"27":699,"28":709,"29":712,"30":715,"31":718,"32":720,"33":729,"34":737,"35":750,"36":754,"38":761,"39":764,"40":768,"41":776,"42":782,"43":787,"45":807,"46":808,"47":811,"48":824,"49":825,"50":847,"51":848,"53":866,"54":869,"55":872,"56":881,"57":885,"58":894,"59":896,"60":898,"61":940,"63":951,"64":953,"65":963,"66":964,"67":977,"68":984,"69":988,"70":992,"71":1000,"72":1015,"73":1020},{"0":543,"1":557,"2":559,"3":604,"4":608,"5":614,"6":619,"7":631,"8":635,"9":644,"10":645,"11":660,"12":662,"13":671,"14":672,"15":688,"16":698,"17":707,"18":722,"19":725,"20":732,"21":747,"22":748,"23":762,"24":772,"25":774,"26":779,"28":789,"29":793,"30":820,"31":864,"32":865,"33":879,"34":882,"35":890,"36":899,"37":900,"38":921,"39":926,"40":943,"41":948,"42":982,"43":986,"44":991,"45":1016},{"0":526,"1":546,"2":600,"3":612,"4":620,"5":623,"6":624,"7":636,"8":694,"9":717,"11":757,"12":765,"13":786,"14":810,"16":841,"17":853,"18":861,"19":867,"20":878,"21":888,"22":903,"23":914,"24":916,"25":927,"26":933,"27":944,"28":955,"29":958,"30":959,"31":966,"32":968,"33":985,"34":994,"35":1001,"36":1003},{"0":518,"1":519,"2":536,"3":552,"4":576,"5":613,"7":679,"8":692,"9":702,"10":708,"11":726,"13":778,"15":835,"16":838,"17":842,"19":932,"20":952,"21":979,"22":983,"23":1005,"25":1013,"26":1022},{"0":522,"1":530,"2":555,"4":621,"5":659,"7":685,"8":739,"10":775,"12":831,"13":836,"14":857,"15":875,"17":887,"18":902,"20":922,"21":930,"23":945,"24":981,"25":990,"26":995,"27":997,"28":1010},{"0":512,"1":534,"2":545,"3":556,"4":578,"7":617,"8":653,"9":695,"10":696,"12":804,"13":830,"15":859,"16":891,"17":960,"18":967,"19":970,"20":1017,"21":1018},{"0":514,"1":517,"2":558,"3":560,"4":564,"5":568,"6":641,"7":642,"8":665,"9":674,"10":680,"11":736,"13":753,"14":760,"17":942,"18":969,"19":972,"20":1009},{"0":594,"1":603,"2":606,"3":616,"4":632,"5":637,"6":704,"7":731,"8":769,"9":828,"10":837,"11":862,"12":907,"13":908,"14":919,"16":941,"17":954},[529,597,599,610,655,666,669,974,978,1008,1011],{"0":625,"1":647,"3":673,"4":675,"5":773,"6":826,"7":871,"8":889,"9":980},{"1":735,"2":752,"3":791},{"1":590,"2":784,"3":818},{"0":549,"2":911},[],[]]