[{"0":0,"2":2,"4":4,"5":5,"6":7,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"16":18,"17":19,"18":21,"19":24,"20":25,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"31":37,"32":38,"33":39,"34":40,"35":42,"36":43,"37":44,"38":45,"39":46,"40":48,"41":49,"42":50,"43":51,"44":52,"45":53,"46":55,"48":57,"49":58,"50":59,"51":60,"52":62,"53":63,"54":64,"55":65,"56":66,"57":67,"58":69,"59":70,"60":72,"61":73,"62":74,"63":75,"64":76,"65":77,"66":78,"67":80,"68":81,"69":82,"70":83,"71":84,"72":85,"73":86,"74":87,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":96,"84":99,"85":100,"86":102,"87":103,"88":105,"89":106,"90":107,"92":109,"93":110,"94":111,"95":112,"96":113,"97":114,"98":115,"100":118,"102":120,"103":121,"105":123,"106":124,"107":125,"108":126,"109":127,"110":128,"112":130,"113":131,"114":132,"115":133,"116":134,"119":138,"120":139,"121":140,"122":141,"123":142,"124":143,"126":145,"127":146,"128":147,"129":148,"130":149,"131":150,"133":152,"134":153,"135":154,"136":155,"137":156,"138":157,"139":158,"140":159,"141":160,"142":161,"143":162,"144":163,"145":164,"146":165,"147":166,"148":167,"149":168,"150":169,"151":170,"152":171,"153":172,"154":173,"155":174,"157":176,"158":177,"159":178,"160":179,"161":180,"162":181,"163":182,"164":183,"165":185,"166":188,"167":190,"168":192,"169":193,"170":194,"171":195,"172":196,"173":197,"174":198,"175":199,"176":201,"177":202,"178":203,"179":204,"180":205,"181":206,"182":208,"183":209,"184":210,"185":211,"186":212,"187":214,"188":215,"190":218,"191":219,"192":220,"193":221,"194":222,"195":223,"196":224,"198":226,"199":228,"200":229,"201":230,"202":231,"203":232,"204":233,"205":234,"207":236,"208":237,"209":238,"210":239,"211":241,"212":243,"213":244,"214":245,"215":246,"216":247,"217":248,"218":249,"219":250,"220":251,"221":252,"223":254,"224":255,"225":257,"226":258,"227":259,"228":260,"229":261,"230":262,"231":264,"232":265,"233":266,"234":267,"235":268,"236":269,"237":270,"238":271,"239":272,"240":273,"241":275,"242":276,"243":277,"244":278,"245":279,"246":280,"247":281,"248":282,"249":283,"250":285,"251":287,"252":288,"253":289,"254":290,"255":291,"256":293,"257":294,"258":295,"259":296,"262":299,"263":303,"264":304,"265":305,"266":306,"268":308,"269":309,"270":310,"271":311,"272":312,"273":313,"274":314,"275":315,"276":316,"277":317,"278":318,"279":319,"280":320,"281":321,"282":322,"284":324,"285":325,"286":326,"287":327,"288":328,"290":331,"291":333,"292":334,"293":335,"295":337,"296":338,"297":339,"298":341,"299":342,"300":344,"301":345,"302":346,"303":347,"304":348,"305":349,"306":350,"307":351,"308":352,"309":353,"310":354,"311":355,"312":356,"313":357,"314":358,"315":359,"316":360,"317":361,"318":362,"320":364,"321":365,"322":367,"323":368,"324":369,"325":370,"326":371,"327":372,"328":373,"329":374,"330":375,"331":376,"332":377,"333":378,"334":379,"335":380,"336":381,"337":382,"338":383,"339":385,"340":386,"341":387,"342":388,"343":389,"344":390,"345":391,"346":392,"347":393,"348":394,"349":395,"350":397,"351":398,"352":399,"353":400,"354":401,"355":402,"356":405,"358":412,"359":421,"360":422,"361":427,"362":436,"363":438,"364":449,"365":458,"366":459,"367":460,"368":461,"369":464,"370":465,"371":466,"372":467,"373":470,"374":473,"375":475,"376":481,"377":482,"378":483,"379":485,"380":486,"381":487,"382":492,"383":493,"384":500,"385":501,"386":503,"387":506,"388":521,"389":526,"390":530,"391":532,"393":543,"394":545,"395":553,"396":554,"397":555,"398":561,"399":563,"400":564,"401":567,"402":582,"403":586,"404":592,"405":593,"406":597,"407":598,"408":602,"409":605,"410":610,"411":615,"412":616,"413":619,"414":621,"415":626,"416":628,"417":630,"418":648,"419":649,"420":653,"421":654,"422":659,"423":664,"424":676,"425":682,"426":683,"427":684,"428":686,"429":688,"431":690,"432":696,"433":699,"434":701,"435":708,"437":714,"438":717,"439":718,"440":719,"441":726,"443":738,"444":741,"445":743,"446":749,"448":760,"449":761,"450":766,"451":773,"452":774,"453":777,"454":781,"455":782,"456":785,"457":787,"458":789,"459":790,"460":793,"461":799},{"0":6,"1":8,"3":22,"4":23,"5":35,"6":47,"7":54,"8":61,"9":68,"10":71,"11":79,"12":97,"13":98,"14":101,"17":136,"18":184,"19":186,"20":187,"21":189,"22":191,"23":200,"24":207,"25":213,"26":217,"27":227,"28":240,"29":242,"30":256,"31":263,"32":274,"33":284,"34":286,"35":292,"36":300,"37":301,"38":302,"39":330,"40":332,"42":343,"43":366,"44":384,"45":396,"46":406,"47":410,"48":413,"49":416,"50":425,"51":429,"52":431,"53":433,"54":440,"55":443,"56":445,"58":451,"59":452,"60":457,"61":469,"62":472,"63":478,"64":480,"65":490,"66":491,"67":494,"68":495,"69":498,"70":499,"71":502,"72":507,"73":508,"74":509,"75":514,"76":517,"77":519,"78":522,"79":527,"80":529,"81":537,"82":539,"83":546,"84":550,"85":552,"86":558,"87":560,"88":562,"89":565,"90":566,"91":568,"92":569,"93":571,"94":581,"95":583,"96":595,"97":603,"98":604,"99":608,"100":609,"101":618,"102":625,"103":631,"104":634,"105":636,"106":637,"107":642,"108":646,"109":658,"110":663,"111":666,"112":669,"113":671,"114":674,"115":675,"116":677,"117":687,"118":691,"119":702,"120":706,"121":720,"122":721,"123":722,"124":723,"125":727,"126":730,"127":740,"128":746,"129":748,"130":752,"131":757,"132":758,"133":768,"134":769,"135":775,"136":778,"137":779,"138":784,"139":791,"140":794,"141":795,"142":796},[41,404,408,411,417,419,420,424,434,439,446,453,454,456,477,479,497,510,513,536,540,549,556,588,594,601,617,629,644,650,670,678,680,681,685,695,698,700,705,710,715,716,724,732,734,737,739,744,745,750,754,759,767,770,772,786,788,798],[418,426,428,435,437,442,447,462,474,484,512,515,520,524,535,548,574,575,576,577,578,587,596,600,606,622,624,633,639,651,656,657,660,693,704,711,713,725,736,763,764,765],[403,415,430,448,463,471,476,496,504,505,511,516,518,531,533,538,542,547,551,573,589,590,607,613,614,620,632,635,641,647,665,667,673,692,735,747,753,755,776,780,783],[423,432,441,455,468,488,489,523,525,528,559,572,580,591,599,611,612,623,640,645,661,662,668,703,707,731,742],[409,541,544,570,579,584,627,643,652,655,756,771,792,797],[414,557,585,638,672,694,697],[444,679,728,729,762],[712]]