[{"0":0,"1":1,"3":3,"4":6,"5":7,"6":8,"7":10,"8":11,"9":12,"10":13,"11":16,"12":17,"14":19,"15":20,"17":22,"18":23,"19":25,"20":26,"21":27,"22":30,"23":31,"24":32,"25":33,"27":35,"28":36,"29":38,"30":39,"31":40,"32":41,"33":44,"34":45,"35":46,"36":47,"38":51,"39":52,"40":53,"42":55,"43":57,"44":58,"45":59,"46":61,"47":64,"48":65,"49":66,"50":67,"51":68,"52":70,"53":72,"54":73,"55":74,"56":75,"57":76,"58":77,"59":79,"60":80,"61":82,"63":85,"64":86,"65":88,"66":89,"67":90,"69":92,"70":94,"71":98,"73":101,"74":102,"75":104,"76":105,"78":107,"79":108,"80":111,"81":112,"83":114,"84":115,"85":116,"86":118,"87":119,"88":120,"89":121,"90":122,"91":123,"92":124,"93":125,"95":127,"96":128,"97":129,"98":130,"99":131,"100":132,"101":133,"103":136,"104":138,"105":139,"107":141,"108":143,"109":144,"110":146,"111":147,"112":150,"113":151,"114":152,"115":153,"116":154,"117":155,"118":157,"119":158,"120":160,"121":161,"122":162,"123":164,"124":165,"125":166,"126":167,"127":168,"128":169,"129":170,"130":171,"131":172,"132":174,"133":175,"134":176,"135":177,"136":178,"137":179,"138":180,"139":182,"141":184,"142":185,"143":186,"144":187,"145":188,"146":189,"147":190,"148":191,"149":192,"150":193,"151":194,"152":195,"153":196,"154":197,"155":199,"156":200,"157":201,"158":256,"159":257,"160":258,"162":263,"163":264,"164":265,"165":266,"166":267,"167":268,"168":271,"170":273,"171":277,"172":278,"173":279,"174":280,"175":281,"176":282,"177":284,"178":285,"179":287,"180":288,"181":292,"182":293,"183":294,"184":295,"186":297,"187":298,"188":299,"189":300,"190":301,"191":302,"192":303,"193":304,"194":306,"195":307,"196":308,"197":309,"199":311,"200":312,"201":313,"202":314,"203":315,"205":319,"206":320,"207":322,"208":323,"209":326,"210":327,"211":328,"212":329,"214":331,"215":332,"216":333,"217":334,"218":335,"219":336,"220":337,"221":338,"222":342,"223":343,"224":344,"225":346,"226":348,"227":349,"228":351,"229":352,"230":353,"231":354,"232":355,"234":357,"235":358,"236":359,"237":360,"238":361,"240":364,"241":365,"242":366,"243":367,"244":368,"245":369,"246":371,"247":372,"248":373,"249":375,"250":376,"252":380,"253":382,"255":384,"256":385,"257":386,"258":387,"259":388,"260":389,"261":392,"262":393,"263":394,"264":395,"265":397,"266":398,"267":400,"268":402,"269":403,"270":404,"271":405,"272":406,"273":407,"274":408,"275":409,"276":410,"277":411,"278":412,"280":414,"281":416,"282":417,"283":418,"284":420,"285":423,"286":425,"287":426,"288":428,"289":429,"290":430,"291":431,"292":432,"293":433,"294":434,"295":435,"296":436,"297":440,"298":441,"299":442,"300":443,"301":444,"302":448,"303":449,"304":450,"305":452,"306":453,"307":454,"308":455,"309":456,"310":457,"311":458,"312":513,"313":514,"314":517,"315":522,"316":523,"317":528,"318":533,"319":534,"320":542,"321":564,"322":569,"323":570,"324":578,"325":580,"326":593,"327":606,"328":609,"329":613,"330":629,"331":631,"332":634,"333":637,"334":646,"335":651,"336":653,"337":659,"338":666,"339":667,"340":668,"341":676,"342":685,"343":688,"344":696,"345":701,"346":713,"347":733,"348":741,"349":742,"350":743,"351":752,"352":755,"353":766,"354":771,"355":773,"356":774,"357":777,"358":785,"359":786,"360":791,"361":794,"362":795,"363":811,"364":817,"365":822,"366":827,"367":845,"368":860,"369":863,"370":867,"371":874,"372":882,"373":888,"374":907,"375":925,"376":927,"377":935,"378":936,"379":937,"380":938,"381":955,"382":960,"383":961,"384":978,"385":985,"387":988,"388":991,"389":994,"390":997,"391":1003,"392":1004,"393":1009,"394":1016,"395":1017,"396":1018,"397":1021},{"0":4,"1":5,"2":9,"3":14,"5":24,"6":28,"7":29,"8":37,"9":42,"11":48,"12":50,"13":56,"14":60,"15":62,"16":63,"17":69,"18":71,"19":78,"20":81,"21":84,"22":87,"23":93,"24":95,"26":97,"27":99,"28":103,"29":109,"30":110,"32":135,"33":137,"34":142,"35":145,"36":148,"37":149,"38":156,"41":173,"42":181,"43":198,"44":202,"45":203,"46":204,"47":206,"48":208,"49":209,"50":211,"51":212,"52":215,"53":216,"54":217,"55":218,"57":220,"58":222,"59":223,"60":226,"61":232,"62":233,"63":234,"64":235,"65":237,"66":239,"67":240,"68":244,"69":245,"70":246,"71":247,"72":248,"73":249,"74":251,"75":252,"76":253,"77":254,"78":255,"79":259,"81":261,"82":269,"83":270,"84":274,"85":275,"87":286,"88":289,"89":290,"92":318,"93":324,"95":339,"96":340,"100":350,"101":363,"102":370,"103":374,"104":378,"105":379,"106":381,"107":390,"109":396,"110":399,"111":401,"112":419,"113":421,"114":427,"115":437,"116":438,"117":439,"118":445,"119":446,"120":447,"122":461,"123":462,"124":463,"125":466,"126":467,"127":469,"128":470,"129":471,"130":472,"131":473,"132":475,"133":476,"134":478,"135":479,"136":480,"137":481,"139":485,"140":486,"141":488,"142":489,"143":490,"144":492,"145":495,"146":497,"147":498,"148":499,"149":500,"150":502,"151":503,"152":504,"153":505,"154":506,"155":507,"156":508,"157":510,"158":511,"159":518,"160":525,"161":529,"162":530,"163":531,"164":539,"165":543,"166":547,"167":553,"168":556,"169":557,"170":560,"171":561,"172":567,"173":575,"174":579,"175":582,"176":589,"177":590,"178":597,"179":598,"180":602,"181":610,"182":615,"183":618,"185":626,"186":628,"187":632,"188":639,"189":640,"190":643,"191":649,"192":650,"193":657,"194":658,"195":664,"196":665,"197":679,"198":681,"199":683,"200":687,"201":689,"202":693,"203":699,"204":700,"205":704,"206":705,"207":716,"208":720,"209":724,"210":727,"211":731,"212":740,"213":745,"214":747,"215":770,"216":780,"217":790,"218":797,"219":799,"220":809,"221":816,"222":821,"223":829,"224":831,"225":834,"226":839,"227":843,"228":858,"229":859,"230":871,"231":873,"232":877,"233":892,"234":896,"235":905,"236":906,"237":912,"238":913,"239":922,"240":932,"241":940,"242":948,"243":962,"244":964,"245":967,"246":982,"247":983,"248":1006,"249":1015,"250":1019,"251":1022},{"0":205,"1":210,"2":213,"3":214,"4":221,"5":224,"6":225,"7":228,"9":230,"10":231,"12":241,"13":242,"14":250,"15":283,"16":316,"17":321,"18":415,"19":422,"20":424,"21":459,"22":460,"23":464,"24":465,"25":468,"26":474,"27":477,"29":484,"30":487,"31":491,"33":496,"34":501,"35":509,"36":516,"37":526,"38":527,"39":537,"40":540,"41":544,"42":550,"43":565,"44":566,"45":573,"46":577,"47":585,"48":586,"49":588,"51":607,"52":611,"53":627,"54":635,"55":636,"56":655,"57":656,"58":669,"59":671,"60":672,"61":686,"63":722,"64":738,"65":748,"66":750,"67":751,"68":756,"69":757,"70":772,"71":782,"72":783,"73":810,"74":812,"75":815,"76":835,"77":840,"78":842,"79":849,"80":852,"81":854,"82":861,"83":864,"84":866,"85":868,"86":870,"87":876,"88":880,"89":886,"90":890,"91":891,"92":900,"93":901,"94":908,"95":911,"96":915,"97":916,"98":917,"99":929,"100":934,"101":942,"102":957,"103":971,"104":976,"105":979,"106":984,"107":1001,"108":1007},{"1":227,"2":236,"3":243,"4":494,"5":521,"6":535,"7":538,"8":554,"9":571,"10":587,"11":596,"12":600,"13":624,"14":648,"15":652,"16":673,"17":692,"18":695,"19":719,"20":730,"21":734,"22":746,"23":763,"24":769,"25":798,"26":801,"27":813,"28":818,"29":819,"30":828,"31":855,"32":862,"33":881,"34":887,"35":898,"36":909,"37":914,"38":918,"39":921,"40":923,"41":939,"42":950,"43":956,"44":963,"45":966,"46":969,"47":1008,"48":1013,"49":1014},{"0":512,"1":545,"2":548,"3":551,"4":572,"5":581,"6":594,"7":601,"8":612,"9":614,"10":619,"11":642,"12":644,"13":662,"14":663,"15":674,"16":678,"17":684,"18":690,"19":702,"20":729,"21":737,"22":744,"23":753,"24":762,"25":765,"26":776,"27":807,"28":808,"29":814,"30":841,"31":895,"32":919,"33":920,"34":926,"35":951,"37":993,"38":999,"39":1023},[536,546,563,591,599,622,633,647,654,675,703,707,717,759,761,767,787,789,803,838,847,853,865,869,931,944,945,965,972,977,998],[515,519,568,604,660,661,691,712,714,718,721,723,749,788,802,805,830,878,902,903,928,958,986,995,1000,1020],{"0":555,"1":574,"3":620,"4":680,"5":682,"6":708,"7":709,"8":758,"9":760,"10":775,"11":778,"12":825,"13":833,"14":857,"15":884,"16":910,"17":924,"18":953,"19":968,"20":974,"21":980,"22":1010},[532,549,605,638,711,725,736,739,793,800,836,846,850,851,879,883,893,899,904,941,952,959,975,981,990,1011],[524,552,558,621,630,706,715,735,781,784,820,824,848,856,894,943,954,973,1005],[520,583,603,608,670,698,779,826,837,844,933,949],{"0":576,"2":641,"3":645,"4":754,"5":792,"6":806,"7":875,"8":889,"9":897,"10":946,"11":996,"12":1012},{"0":541,"1":562,"2":595,"3":616,"4":677,"5":710,"6":726,"7":728,"8":768,"10":930,"11":947,"12":970,"13":1002},[559,697,823,832,885,992],[584,872],[804],[],[]]