[{"0":0,"1":1,"2":2,"3":3,"4":6,"6":9,"7":10,"8":11,"12":15,"13":16,"14":17,"15":18,"16":19,"18":21,"19":22,"20":23,"22":25,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"30":34,"31":35,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"42":46,"43":47,"45":49,"46":50,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":60,"55":61,"57":63,"58":64,"59":65,"62":68,"63":69,"64":70,"65":71,"66":72,"69":75,"70":76,"71":77,"72":78,"73":79,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":90,"85":91,"86":92,"87":93,"88":94,"89":95,"90":96,"93":99,"94":100,"95":101,"96":102,"97":103,"98":104,"100":106,"101":109,"102":110,"103":111,"104":112,"106":115,"107":116,"108":117,"109":118,"110":120,"111":121,"112":122,"113":123,"114":124,"115":125,"116":126,"117":127,"118":128,"119":129,"120":132,"121":133,"122":134,"124":136,"125":139,"126":140,"128":142,"129":143,"130":145,"131":146,"132":147,"133":148,"134":149,"135":151,"136":152,"137":153,"138":154,"139":155,"142":158,"143":159,"144":160,"145":161,"147":166,"150":169,"151":170,"152":171,"153":172,"154":173,"157":177,"158":178,"159":179,"160":182,"162":185,"163":186,"164":187,"165":188,"166":190,"167":192,"168":193,"169":194,"170":195,"171":197,"172":198,"173":199,"174":202,"175":203,"176":206,"177":207,"178":208,"179":209,"181":211,"182":212,"183":213,"184":214,"185":215,"186":217,"187":218,"189":220,"190":221,"191":222,"192":223,"193":224,"194":257,"196":259,"197":260,"198":261,"199":262,"200":263,"201":264,"203":267,"204":268,"206":270,"207":272,"209":275,"210":276,"211":277,"214":280,"215":281,"216":282,"217":285,"218":286,"219":287,"220":288,"221":289,"222":290,"223":291,"225":293,"227":295,"228":296,"229":297,"230":298,"231":300,"232":301,"233":303,"234":304,"237":307,"238":308,"242":312,"243":313,"245":315,"246":316,"247":317,"248":318,"250":321,"251":322,"252":323,"253":324,"254":325,"256":328,"257":329,"258":330,"259":331,"260":332,"261":333,"262":334,"263":335,"264":337,"265":338,"266":340,"267":342,"268":343,"269":344,"270":345,"271":346,"272":348,"274":350,"275":351,"277":353,"278":354,"281":358,"282":359,"283":360,"284":361,"287":365,"288":366,"289":367,"291":369,"293":371,"294":372,"296":374,"297":375,"298":376,"299":378,"300":380,"301":381,"303":383,"304":384,"308":388,"310":390,"312":393,"313":394,"314":395,"315":396,"317":398,"318":399,"319":400,"320":401,"322":405,"323":406,"324":407,"325":409,"326":410,"328":412,"329":413,"330":414,"331":415,"332":416,"334":418,"338":423,"341":426,"342":427,"343":428,"344":429,"346":431,"347":432,"348":433,"350":438,"351":439,"352":440,"353":441,"354":442,"355":443,"356":444,"357":445,"358":446,"359":447,"360":448,"361":449,"362":452,"363":453,"364":454,"365":455,"367":457,"370":460,"371":461,"372":462,"373":464,"377":468,"378":469,"379":470,"380":471,"381":472,"382":473,"384":475,"385":476,"386":477,"387":479,"390":512,"391":516,"392":529,"393":532,"394":546,"395":549,"396":557,"397":559,"398":562,"399":563,"400":569,"401":572,"402":574,"403":582,"405":585,"407":611,"409":620,"410":628,"411":634,"412":637,"413":640,"414":642,"415":644,"417":657,"418":660,"419":661,"420":666,"421":680,"423":686,"424":702,"425":704,"427":715,"428":716,"429":720,"430":737,"431":745,"432":749,"433":756,"434":758,"435":773,"436":774,"437":785,"439":798,"440":799,"441":808,"442":819,"443":835,"444":843,"445":847,"446":859,"447":864,"448":868,"449":870,"450":875,"451":878,"452":881,"453":886,"454":888,"456":912,"457":913,"458":916,"459":928,"460":931,"461":937,"462":940,"463":942,"464":945,"465":950,"467":957,"468":958,"469":960,"470":965,"471":971,"472":980,"473":981,"474":985,"475":1001,"477":1014},{"0":5,"1":7,"2":26,"3":51,"4":59,"5":107,"6":108,"8":119,"9":130,"10":131,"11":137,"13":144,"14":150,"15":163,"16":164,"17":165,"18":175,"19":180,"20":181,"21":183,"22":189,"23":191,"24":196,"25":200,"26":204,"27":205,"28":216,"30":226,"31":227,"32":228,"33":229,"34":230,"35":231,"37":234,"39":236,"42":239,"43":242,"44":243,"46":245,"47":246,"48":247,"49":248,"50":249,"53":252,"54":253,"55":254,"57":256,"58":265,"61":283,"62":284,"64":302,"65":320,"66":327,"67":336,"68":339,"69":341,"70":347,"71":357,"72":362,"73":377,"74":379,"75":391,"78":408,"79":419,"80":435,"81":436,"82":437,"83":451,"84":463,"85":478,"88":484,"90":486,"91":487,"92":488,"93":489,"94":490,"95":491,"96":492,"97":493,"98":494,"99":496,"100":497,"103":502,"104":503,"107":506,"109":508,"110":509,"111":510,"112":511,"113":514,"115":521,"116":528,"117":531,"118":536,"120":541,"121":543,"123":552,"124":565,"126":568,"127":573,"128":575,"130":588,"131":594,"132":600,"133":604,"134":606,"135":607,"136":609,"137":610,"138":612,"139":618,"141":626,"142":627,"143":632,"144":638,"145":647,"146":653,"147":658,"148":659,"149":664,"150":667,"151":671,"152":676,"153":678,"154":699,"155":703,"156":706,"157":719,"158":725,"159":733,"161":739,"162":742,"163":747,"164":751,"165":752,"166":754,"167":759,"168":764,"169":767,"170":769,"171":775,"172":776,"173":777,"174":778,"177":790,"179":815,"180":822,"181":831,"182":833,"183":837,"184":844,"185":845,"186":846,"187":849,"188":850,"189":851,"190":856,"191":857,"192":861,"194":867,"195":882,"196":887,"197":889,"198":890,"199":892,"200":893,"201":897,"202":902,"203":904,"204":905,"205":907,"206":909,"208":926,"209":929,"210":930,"211":939,"212":943,"215":961,"216":963,"217":968,"218":978,"219":984,"220":988,"221":1005,"222":1010,"223":1016,"225":1020},{"1":201,"2":232,"3":240,"4":241,"5":450,"6":495,"8":513,"9":517,"10":518,"11":530,"13":537,"14":555,"15":560,"16":577,"17":581,"18":589,"19":592,"20":596,"22":603,"23":605,"24":614,"25":617,"27":625,"29":639,"30":643,"31":650,"32":656,"33":673,"34":674,"35":679,"36":690,"37":693,"38":694,"39":695,"40":707,"41":713,"42":722,"43":724,"44":730,"45":744,"46":750,"47":753,"48":757,"49":779,"50":781,"51":783,"52":789,"53":793,"54":806,"55":810,"56":812,"57":813,"58":814,"59":817,"61":827,"62":832,"63":839,"64":841,"66":852,"67":855,"68":866,"69":873,"70":874,"71":876,"72":883,"73":885,"74":891,"75":894,"76":911,"77":918,"78":941,"79":947,"80":964,"81":970,"82":974,"83":976,"84":977,"85":987,"86":1003,"87":1008},[500,534,545,561,571,590,595,601,629,670,672,684,697,714,721,723,738,755,761,763,771,784,794,803,842,858,869,872,884,895,898,900,908,910,915,920,949,953,956,962,969,983,992,993,994,997,1000,1004,1015],[522,526,527,539,551,598,602,649,651,675,681,688,689,700,701,717,734,743,765,768,792,795,801,826,838,840,914,922,933,935,972,975,986,989,996,1012],[535,538,547,558,587,597,635,654,687,691,708,711,726,729,762,772,786,791,796,834,853,871,896,917,1017],[553,580,615,621,630,652,662,712,731,746,760,804,807,828,836,854,863,921,946,951,982,1007],[520,583,593,608,613,645,646,663,710,718,727,740,766,816,820,823,877,938,999,1002,1019,1021],[570,668,802,805,809,829,862,919,923,924,934,966,967,979,990,1011],[523,525,566,623,641,648,665,677,696,698,728,735,748,770,824,927,936,944,973],[544,586,669,692,709,788,797,800,880,903,906,1009],[548,556,564,578,631,636,683,732,821,899,952,991,995],{"0":519,"1":524,"2":542,"3":554,"4":579,"5":624,"6":818,"7":830,"8":860,"9":879,"10":932,"12":998,"13":1023},[682,1013],[]]