[{"0":0,"1":1,"2":2,"4":4,"5":5,"6":6,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"17":17,"18":18,"19":19,"20":20,"21":21,"24":25,"25":26,"26":27,"27":28,"28":29,"29":30,"30":33,"31":34,"32":35,"33":36,"35":39,"36":40,"37":41,"38":42,"40":44,"41":45,"42":46,"43":48,"44":49,"45":50,"46":52,"47":53,"48":54,"49":55,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":69,"62":70,"63":71,"65":73,"66":74,"68":76,"69":77,"70":78,"71":79,"72":80,"73":81,"74":83,"75":85,"76":86,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":97,"87":98,"88":99,"89":101,"90":102,"91":103,"92":104,"93":105,"95":107,"96":108,"97":109,"98":110,"99":111,"100":112,"101":114,"102":115,"103":116,"104":117,"105":118,"106":119,"107":120,"109":122,"110":123,"111":124,"112":125,"113":126,"114":127,"115":128,"116":129,"117":130,"118":131,"119":132,"120":133,"121":134,"122":135,"123":136,"124":137,"125":138,"126":139,"127":140,"128":141,"129":142,"130":143,"131":144,"132":145,"133":146,"134":147,"135":149,"136":150,"137":152,"139":154,"140":156,"141":157,"142":158,"143":159,"144":160,"145":161,"146":162,"147":163,"148":164,"149":165,"151":167,"152":168,"153":169,"154":170,"156":172,"157":173,"158":174,"159":175,"160":176,"161":177,"162":178,"163":179,"164":180,"165":181,"166":182,"167":183,"168":185,"169":186,"170":187,"171":188,"172":189,"173":190,"174":191,"175":192,"176":193,"177":194,"178":195,"179":196,"180":197,"181":198,"182":199,"183":200,"184":201,"185":202,"186":203,"187":204,"188":205,"189":206,"190":207,"191":208,"192":209,"193":210,"194":211,"195":213,"196":214,"197":215,"198":216,"199":217,"200":218,"201":219,"202":220,"203":221,"204":222,"205":223,"206":224,"207":225,"208":226,"209":227,"210":228,"211":229,"212":230,"213":231,"214":232,"215":233,"216":234,"217":235,"218":236,"219":237,"220":238,"221":239,"222":240,"223":241,"225":243,"227":246,"228":247,"229":249,"230":250,"231":252,"232":253,"235":256,"236":257,"237":258,"238":259,"239":260,"241":262,"242":263,"243":264,"244":265,"245":266,"246":267,"247":268,"248":269,"249":270,"250":271,"251":272,"252":273,"253":274,"254":275,"255":276,"256":277,"257":278,"258":279,"259":280,"261":282,"262":284,"263":286,"264":288,"265":289,"266":290,"267":292,"268":293,"269":294,"270":295,"271":296,"272":297,"273":298,"274":299,"275":300,"276":301,"277":302,"278":303,"279":304,"280":305,"281":306,"282":307,"285":310,"286":311,"287":312,"288":313,"289":314,"290":315,"291":316,"292":317,"293":318,"294":319,"295":320,"296":321,"297":322,"298":323,"299":324,"300":325,"301":326,"302":327,"303":328,"304":329,"305":330,"306":331,"307":333,"308":334,"309":335,"310":336,"311":337,"313":339,"314":340,"315":341,"316":342,"317":343,"318":344,"319":345,"320":346,"321":347,"323":349,"324":350,"325":351,"326":352,"327":353,"328":354,"329":355,"330":357,"331":358,"333":360,"334":361,"335":362,"336":364,"337":366,"338":367,"339":368,"340":369,"341":370,"342":371,"343":372,"344":373,"345":374,"346":375,"347":376,"348":377,"349":378,"350":379,"351":380,"352":381,"353":382,"354":384,"355":385,"356":386,"357":387,"358":388,"359":389,"360":390,"361":391,"362":392,"363":393,"364":394,"365":395,"366":396,"367":397,"368":398,"369":399,"370":400,"371":401,"372":402,"373":403,"374":404,"375":405,"376":406,"377":407,"378":408,"379":409,"380":412,"383":416,"384":417,"385":418,"386":419,"387":420,"388":421,"389":422,"390":424,"391":425,"392":426,"393":427,"394":429,"395":430,"396":431,"397":432,"398":433,"399":434,"400":435,"401":436,"403":438,"404":439,"405":440,"406":441,"407":442,"408":443,"410":445,"411":446,"412":448,"413":449,"414":450,"415":451,"417":453,"418":454,"419":455,"420":457,"421":458,"422":459,"423":461,"424":462,"426":471,"427":474,"428":484,"429":485,"430":487,"431":495,"432":500,"433":503,"434":504,"435":505,"436":507,"437":508,"438":510,"439":515,"440":518,"441":521,"442":522,"443":537,"444":546,"445":547,"446":548,"447":549,"448":556,"449":557,"450":562,"451":568,"452":573,"453":574,"454":583,"455":600,"456":601,"457":602,"459":608,"460":609,"461":620,"462":621,"463":622,"464":624,"465":625,"466":631,"467":640,"468":642,"469":646,"470":648,"471":651,"472":652,"473":664,"474":666,"475":668,"476":672,"477":675,"478":676,"479":678,"480":683,"481":684,"482":685,"483":703,"484":714,"485":717,"486":722,"487":725,"488":733,"489":736,"490":737,"491":740,"492":742,"493":750,"494":753,"495":755,"496":765,"497":777,"498":779,"499":786,"500":787,"501":792,"502":804,"503":808,"504":809,"505":811,"506":816,"507":819,"508":823,"509":824,"510":827,"511":830,"512":835,"513":838,"514":839,"515":843,"516":845,"517":846,"518":858,"519":862,"520":863,"521":865,"522":880,"523":881,"524":885,"525":891,"526":893,"527":897,"528":898,"529":909,"530":913,"531":928},{"0":24,"1":31,"2":32,"3":37,"4":47,"5":51,"6":56,"7":68,"8":82,"9":84,"10":96,"11":100,"12":113,"13":148,"14":151,"15":155,"16":184,"17":212,"18":245,"19":248,"20":251,"21":283,"22":285,"23":287,"24":291,"25":332,"26":356,"27":363,"28":365,"29":383,"30":410,"31":411,"32":414,"33":423,"34":428,"35":447,"36":456,"37":460,"38":463,"39":465,"41":469,"42":470,"43":475,"45":479,"46":480,"47":482,"48":486,"49":489,"50":490,"51":491,"53":494,"54":506,"55":511,"56":514,"57":516,"58":517,"59":519,"60":525,"61":535,"62":538,"63":542,"64":553,"65":554,"66":558,"67":565,"68":571,"69":586,"70":590,"71":595,"72":614,"73":616,"74":623,"75":628,"76":632,"77":634,"78":636,"80":643,"81":645,"82":649,"83":655,"84":659,"85":660,"86":662,"87":663,"88":665,"89":673,"90":680,"91":681,"92":682,"93":687,"94":691,"95":693,"96":694,"97":697,"98":702,"99":705,"100":706,"101":712,"102":716,"103":718,"104":720,"105":721,"106":728,"107":729,"108":730,"109":734,"110":735,"111":741,"112":745,"113":746,"114":748,"115":751,"116":756,"117":762,"118":763,"119":767,"120":769,"121":775,"122":785,"123":788,"124":794,"125":795,"126":797,"127":800,"128":803,"129":818,"130":822,"131":829,"132":831,"133":833,"134":840,"135":847,"136":851,"137":854,"138":857,"139":859,"140":861,"141":867,"142":870,"143":872,"144":873,"145":875,"146":883,"147":895,"149":907,"150":912,"151":915,"152":916,"153":918,"154":924,"155":926,"156":929,"157":930},[473,476,483,488,493,498,499,501,502,513,520,528,532,536,543,544,561,563,564,567,569,570,578,579,584,587,588,592,594,596,597,603,610,613,626,627,630,639,641,647,654,661,670,671,677,679,699,701,723,731,747,752,754,758,760,773,776,780,783,789,793,813,815,821,832,834,837,841,849,855,860,864,866,878,879,882,884,888,890,894,900,901,902,903,906,919,921,931],[478,526,529,530,533,534,566,572,576,581,582,585,598,599,605,611,612,619,629,633,644,653,656,667,674,689,695,708,709,713,715,719,771,781,784,790,798,801,807,814,817,825,826,850,852,853,856,868,874,889,905,908,922,925],[472,481,497,524,531,539,541,545,551,555,577,580,589,604,606,617,637,650,669,686,692,700,727,739,744,759,768,774,782,799,805,869,896,917,920,927],[466,467,559,635,690,696,711,724,732,757,764,772,778,791,796,810,828,842,844,848,877,887,892,910,923],[550,552,591,615,657,688,704,707,710,726,743,914],[509,540,560,593,658,738,761,766,806,820,836,871,886,904,911],[496,512,523,527,575,618,698,802,876],[749,770,812]]