[{"0":0,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":10,"9":11,"11":13,"12":14,"13":15,"16":22,"17":24,"18":25,"19":27,"20":28,"21":29,"22":30,"23":31,"24":32,"25":33,"26":34,"27":35,"28":37,"29":39,"30":40,"31":42,"32":44,"33":45,"34":46,"35":47,"36":48,"39":51,"40":52,"41":53,"42":54,"43":55,"46":59,"47":60,"48":62,"49":63,"51":67,"52":68,"53":69,"54":70,"56":73,"57":75,"59":78,"60":79,"61":80,"62":81,"63":82,"64":83,"65":84,"66":85,"67":86,"68":87,"70":89,"71":90,"72":93,"73":94,"75":96,"76":98,"77":99,"79":101,"80":102,"82":104,"83":105,"84":106,"86":108,"87":109,"88":110,"90":112,"91":113,"92":114,"94":117,"95":118,"96":119,"97":120,"98":122,"99":123,"101":125,"102":128,"103":129,"104":130,"106":134,"107":135,"108":136,"109":137,"111":139,"112":141,"113":142,"116":145,"117":146,"118":147,"119":148,"120":149,"121":150,"122":151,"124":154,"125":155,"126":156,"127":157,"128":158,"130":160,"131":161,"132":162,"133":163,"135":165,"136":166,"137":168,"138":169,"139":170,"140":171,"141":172,"142":173,"144":175,"145":176,"146":177,"147":178,"148":179,"149":180,"150":181,"151":185,"152":186,"153":187,"154":190,"155":191,"156":192,"157":193,"158":194,"159":196,"160":197,"161":198,"162":199,"163":200,"164":202,"165":203,"166":204,"167":205,"168":206,"169":207,"170":208,"171":209,"172":210,"174":214,"175":215,"176":216,"177":217,"178":218,"179":219,"180":220,"183":258,"184":259,"185":260,"187":262,"188":263,"191":266,"192":267,"193":268,"196":271,"198":273,"199":274,"201":277,"202":278,"203":279,"204":280,"205":282,"206":283,"207":284,"208":285,"209":286,"210":287,"211":289,"212":290,"215":293,"216":294,"217":295,"218":296,"219":297,"220":298,"221":299,"223":301,"225":304,"226":305,"227":306,"228":307,"230":309,"231":310,"232":311,"233":314,"234":315,"236":317,"237":318,"238":319,"239":320,"240":321,"241":322,"242":324,"243":325,"244":326,"245":327,"247":329,"248":330,"249":331,"250":332,"252":334,"254":336,"255":338,"256":339,"257":340,"259":343,"260":344,"262":346,"263":347,"264":348,"265":349,"266":350,"267":352,"269":354,"270":356,"272":358,"273":359,"274":360,"275":362,"276":363,"277":365,"278":366,"279":367,"281":372,"282":373,"284":376,"285":377,"286":378,"288":380,"289":381,"290":382,"292":384,"294":386,"296":388,"298":390,"299":391,"301":393,"302":394,"304":396,"305":397,"306":398,"307":399,"308":400,"310":402,"311":403,"312":406,"313":408,"314":409,"315":411,"316":413,"317":414,"318":415,"319":417,"320":418,"321":419,"322":420,"323":421,"324":422,"325":424,"326":425,"327":426,"328":428,"329":429,"330":430,"331":431,"332":432,"333":433,"334":434,"335":435,"336":436,"337":438,"338":439,"339":440,"340":441,"341":442,"342":443,"343":444,"344":446,"346":449,"347":450,"348":451,"349":452,"350":453,"351":455,"352":457,"353":458,"354":459,"355":460,"356":461,"358":465,"359":466,"360":468,"361":470,"362":471,"364":474,"365":475,"366":477,"367":514,"368":516,"370":528,"371":536,"372":541,"373":549,"374":550,"375":564,"376":565,"377":569,"378":581,"379":585,"380":613,"381":617,"382":623,"383":630,"384":631,"385":634,"386":642,"387":664,"388":665,"389":670,"390":674,"391":682,"392":690,"393":692,"394":697,"395":702,"396":704,"397":705,"398":706,"399":709,"400":716,"401":724,"402":726,"403":729,"404":730,"405":735,"406":737,"407":739,"408":740,"409":744,"410":748,"411":752,"413":762,"414":765,"415":780,"417":786,"418":799,"419":802,"420":810,"421":812,"422":815,"423":817,"424":820,"425":824,"426":825,"427":830,"428":839,"429":848,"430":852,"431":857,"432":862,"433":864,"434":865,"435":871,"436":877,"438":895,"439":916,"440":920,"441":921,"442":923,"443":930,"445":956,"446":959,"448":968,"449":975,"450":978,"451":980,"452":982,"453":985,"454":986,"455":993,"457":1004,"458":1006,"459":1007,"460":1008,"461":1010,"463":1013,"464":1015,"465":1019},{"0":6,"2":16,"3":17,"4":19,"5":20,"6":23,"7":26,"10":41,"11":43,"12":61,"13":65,"14":66,"15":71,"16":74,"17":76,"18":91,"19":92,"21":116,"22":121,"23":126,"24":127,"25":131,"26":133,"28":182,"29":183,"30":184,"31":189,"32":195,"33":201,"34":211,"35":213,"36":221,"37":222,"39":227,"40":228,"41":232,"42":233,"43":235,"44":238,"45":239,"46":240,"48":242,"49":243,"50":244,"51":246,"52":249,"53":250,"54":251,"55":252,"56":253,"57":254,"58":255,"59":276,"60":281,"61":288,"62":302,"63":312,"64":313,"65":323,"66":337,"67":342,"68":351,"69":361,"70":368,"71":370,"72":371,"73":375,"74":404,"75":405,"76":407,"77":410,"78":412,"79":416,"80":423,"81":427,"82":437,"83":445,"84":448,"85":454,"86":462,"87":464,"88":467,"89":469,"90":472,"91":476,"92":478,"93":479,"94":480,"95":481,"96":483,"97":485,"99":489,"100":490,"101":491,"102":492,"103":493,"104":494,"105":495,"106":496,"107":497,"108":498,"110":500,"111":501,"112":502,"113":503,"114":505,"115":506,"116":507,"117":508,"120":511,"121":513,"122":518,"123":525,"124":526,"125":529,"127":535,"128":537,"130":551,"131":556,"132":558,"134":563,"135":566,"136":573,"137":574,"138":576,"139":578,"141":580,"142":584,"143":590,"144":592,"145":593,"146":601,"148":612,"149":625,"150":627,"151":628,"153":633,"154":640,"155":646,"156":650,"157":654,"158":660,"159":661,"160":669,"161":671,"162":672,"163":679,"164":683,"165":689,"166":695,"167":701,"168":707,"169":708,"170":710,"171":713,"172":725,"173":727,"174":734,"175":745,"176":750,"177":751,"178":755,"180":761,"181":766,"182":768,"183":771,"184":781,"185":784,"186":788,"187":791,"188":793,"189":795,"190":796,"191":803,"192":804,"193":821,"194":829,"195":831,"196":832,"197":834,"198":838,"199":841,"200":843,"202":846,"203":854,"204":856,"205":861,"206":868,"207":890,"208":891,"209":893,"210":898,"211":900,"212":902,"213":904,"214":905,"215":906,"216":907,"217":908,"218":912,"219":918,"220":932,"221":933,"222":937,"223":938,"224":939,"225":944,"226":945,"227":949,"228":957,"229":958,"230":970,"231":981,"232":983,"233":984,"234":987,"236":994,"237":1014,"238":1020},{"0":57,"1":153,"2":167,"3":188,"4":224,"5":225,"6":226,"7":229,"8":230,"9":234,"10":236,"11":245,"12":247,"14":355,"15":364,"17":482,"18":484,"19":486,"20":488,"21":504,"22":519,"23":521,"24":524,"25":532,"26":533,"27":548,"28":555,"29":559,"30":562,"31":570,"32":582,"33":583,"35":597,"36":608,"37":614,"38":616,"39":622,"40":624,"41":626,"42":636,"43":637,"44":638,"45":653,"46":678,"47":693,"48":700,"49":718,"50":732,"51":738,"52":742,"53":743,"54":757,"55":775,"56":778,"57":779,"58":782,"59":798,"60":801,"61":813,"62":814,"63":823,"64":826,"65":835,"66":836,"67":849,"68":850,"69":851,"70":872,"71":873,"72":879,"73":886,"74":915,"75":917,"76":924,"77":926,"78":927,"79":940,"81":942,"82":950,"83":954,"84":961,"85":965,"86":973,"87":992,"88":995,"89":1001,"90":1002,"91":1009,"92":1016,"93":1017},{"1":237,"2":512,"3":523,"4":534,"5":540,"6":545,"7":554,"8":571,"9":572,"10":586,"11":599,"12":604,"13":605,"14":619,"15":620,"16":635,"17":648,"18":668,"19":673,"20":675,"21":696,"22":698,"23":699,"24":714,"25":715,"26":717,"27":719,"28":721,"29":728,"30":747,"31":764,"32":772,"33":794,"34":797,"35":800,"36":811,"37":845,"38":863,"39":867,"40":869,"41":878,"42":881,"43":882,"44":894,"45":911,"46":913,"47":928,"48":929,"49":962,"50":966,"51":971,"52":974,"53":998,"54":999,"55":1003,"56":1018},{"0":546,"1":577,"2":596,"3":602,"4":611,"5":641,"6":651,"7":659,"8":667,"9":680,"10":684,"11":686,"12":711,"13":722,"14":731,"15":741,"16":746,"17":756,"18":769,"19":774,"20":776,"22":792,"23":827,"24":860,"25":866,"26":883,"27":887,"28":889,"29":896,"30":899,"31":901,"32":903,"33":931,"35":972,"36":976,"37":990,"38":1022},{"0":527,"1":542,"2":544,"3":552,"4":557,"5":588,"6":606,"7":607,"8":618,"9":645,"10":652,"11":658,"12":736,"13":758,"14":770,"15":790,"16":818,"17":822,"18":833,"19":842,"21":875,"23":935,"24":947,"25":960,"26":963,"27":1021},{"1":543,"3":567,"4":587,"5":594,"6":595,"7":600,"8":621,"9":639,"10":643,"11":676,"12":677,"13":685,"14":694,"15":763,"16":787,"17":805,"18":806,"21":909,"22":910,"23":914,"24":919,"25":946,"26":969,"27":977,"28":991},[530,553,575,589,609,615,649,655,662,703,749,807,808,809,858,874,880,1005,1011],[520,538,568,610,629,656,657,663,687,691,777,816,859,897,922,979,996,1023],{"1":560,"2":644,"3":647,"4":666,"5":681,"6":688,"7":712,"8":767,"9":773,"10":785,"11":876,"12":885,"13":934,"14":943,"16":952},[723,759,840,847,855,951,955],{"0":720,"1":733,"3":853,"4":1000},[754,888,988],[598],[],[]]