[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"16":16,"17":17,"18":18,"19":19,"20":20,"21":21,"22":22,"23":23,"24":25,"25":26,"26":27,"27":29,"28":30,"29":31,"30":33,"31":34,"32":35,"33":36,"34":37,"35":38,"36":39,"37":40,"38":42,"39":45,"40":47,"41":48,"42":49,"44":51,"45":52,"46":55,"47":56,"48":57,"49":59,"50":60,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":75,"64":76,"65":77,"67":79,"68":80,"69":82,"70":83,"71":84,"72":86,"73":87,"74":88,"75":89,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":104,"89":105,"90":106,"91":107,"92":109,"93":110,"94":112,"95":113,"96":114,"97":115,"98":117,"99":118,"100":119,"101":120,"102":121,"103":122,"104":124,"105":125,"106":126,"107":127,"108":128,"109":129,"110":130,"111":132,"112":134,"113":135,"114":136,"115":137,"116":138,"117":139,"118":141,"119":142,"120":143,"121":144,"122":146,"123":147,"124":148,"125":149,"126":150,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":158,"134":159,"135":160,"136":161,"137":162,"138":163,"139":164,"140":165,"141":166,"142":167,"143":168,"144":169,"145":170,"146":171,"147":173,"148":174,"149":175,"150":176,"151":178,"152":179,"153":180,"154":181,"155":182,"156":183,"157":185,"158":187,"159":188,"160":189,"161":190,"162":191,"163":192,"164":193,"165":257,"166":258,"167":259,"168":260,"169":261,"170":262,"171":263,"172":265,"173":266,"174":267,"175":268,"176":269,"177":270,"178":271,"179":272,"180":273,"181":274,"182":275,"183":276,"184":277,"185":278,"186":279,"187":280,"188":281,"189":282,"190":283,"191":284,"192":286,"193":287,"194":288,"195":290,"196":291,"197":292,"198":293,"199":294,"200":296,"201":297,"202":298,"203":299,"204":300,"205":301,"206":302,"207":304,"208":306,"209":307,"210":308,"211":309,"212":310,"213":311,"214":312,"215":313,"216":314,"217":315,"218":316,"219":317,"220":320,"221":321,"222":322,"223":324,"224":325,"225":326,"226":328,"227":329,"228":330,"229":331,"230":332,"231":333,"232":334,"233":335,"234":336,"235":337,"236":338,"237":339,"238":341,"239":342,"240":343,"241":344,"243":346,"244":347,"245":348,"246":349,"247":350,"248":351,"249":352,"250":353,"251":354,"252":355,"253":356,"254":357,"255":358,"256":359,"257":361,"258":362,"259":364,"260":365,"261":366,"262":367,"263":368,"264":369,"265":370,"266":371,"267":374,"268":376,"269":378,"270":380,"271":381,"272":382,"273":383,"274":384,"275":385,"276":390,"277":393,"278":395,"279":396,"280":397,"281":398,"282":400,"283":401,"284":402,"285":403,"286":404,"287":405,"288":407,"289":408,"290":409,"291":410,"292":411,"293":412,"294":413,"295":414,"296":415,"297":416,"298":417,"299":418,"300":419,"301":420,"302":421,"303":422,"304":423,"305":425,"306":426,"307":427,"308":428,"309":429,"310":431,"311":432,"312":433,"313":434,"314":435,"315":436,"316":437,"317":438,"318":439,"319":440,"320":441,"321":442,"322":444,"323":446,"324":447,"325":448,"326":449,"327":521,"328":522,"329":524,"330":525,"331":530,"332":531,"333":543,"334":550,"335":562,"336":565,"337":567,"338":583,"339":585,"340":587,"341":590,"342":595,"343":599,"344":600,"345":608,"346":616,"347":624,"348":628,"349":632,"350":641,"351":646,"352":649,"353":652,"354":666,"355":671,"356":672,"357":681,"358":690,"359":692,"360":694,"361":703,"362":711,"363":715,"364":719,"365":724,"366":725,"367":728,"368":729,"369":732,"370":735,"371":743,"372":745,"373":749,"374":761,"375":765,"376":771,"377":780,"378":781,"379":785,"380":797,"381":800,"382":808,"383":809,"384":815,"385":818,"386":823,"387":825,"388":830,"389":832,"390":837,"391":844,"392":846,"393":861,"394":871,"395":872,"396":898,"397":903,"398":904,"399":915,"400":918,"401":924,"402":937,"403":946,"404":949,"405":973,"406":979,"407":984,"408":986,"409":987,"410":994,"411":995,"412":997,"413":998,"414":1001,"415":1006,"416":1012,"417":1016,"418":1019},{"0":24,"1":28,"2":32,"3":41,"4":43,"5":44,"6":46,"7":53,"8":54,"9":58,"10":61,"11":74,"12":81,"13":85,"14":90,"15":103,"16":108,"17":111,"18":116,"19":123,"20":133,"21":140,"22":145,"23":157,"24":172,"25":177,"26":184,"27":186,"28":194,"29":196,"30":197,"31":198,"32":199,"33":200,"34":201,"35":203,"36":204,"37":208,"38":209,"39":210,"40":211,"41":212,"42":213,"43":214,"44":215,"45":216,"46":217,"47":219,"48":220,"49":221,"50":223,"51":224,"52":226,"53":227,"54":228,"55":229,"56":231,"57":232,"58":233,"59":234,"60":237,"61":239,"62":240,"63":242,"64":243,"65":245,"66":246,"67":247,"68":249,"69":250,"70":251,"71":252,"72":253,"73":255,"74":256,"75":264,"76":285,"77":289,"78":295,"79":303,"80":305,"81":319,"82":323,"83":327,"84":340,"85":360,"86":373,"87":375,"88":377,"89":379,"90":386,"91":387,"92":388,"93":389,"94":391,"95":392,"96":394,"97":399,"98":406,"99":424,"100":443,"101":445,"102":450,"103":451,"104":452,"105":453,"106":454,"107":455,"108":459,"109":460,"110":462,"111":465,"112":466,"113":467,"114":469,"115":470,"116":472,"117":473,"118":476,"119":478,"120":480,"121":482,"122":483,"123":484,"124":485,"125":486,"126":487,"127":488,"128":489,"129":490,"130":491,"131":493,"132":495,"133":496,"134":497,"135":498,"136":499,"137":500,"138":501,"139":502,"140":503,"141":506,"142":508,"143":509,"144":510,"145":511,"146":515,"147":526,"148":534,"149":538,"150":540,"151":545,"152":554,"153":557,"154":559,"155":560,"156":564,"157":566,"158":572,"159":576,"161":604,"162":605,"163":610,"164":614,"165":619,"166":621,"167":645,"168":655,"169":656,"171":669,"172":675,"173":677,"174":685,"175":686,"176":689,"177":696,"178":697,"179":699,"180":700,"181":701,"182":704,"183":709,"184":713,"185":716,"186":718,"187":720,"188":721,"189":726,"190":731,"191":733,"192":734,"193":741,"194":747,"195":751,"196":754,"197":760,"198":770,"199":774,"200":782,"201":786,"202":788,"203":796,"204":805,"205":806,"206":813,"207":838,"208":866,"209":873,"210":887,"211":888,"212":889,"213":891,"214":892,"215":901,"216":921,"217":925,"218":930,"219":944,"220":958,"221":961,"222":966,"223":968,"224":969,"225":974,"226":977,"227":983,"228":1004,"229":1014,"230":1021,"231":1022},{"0":131,"1":202,"2":205,"3":206,"4":207,"5":218,"6":222,"7":225,"8":235,"9":236,"10":238,"11":241,"12":244,"13":248,"14":254,"15":318,"16":363,"17":372,"18":430,"19":456,"20":457,"21":458,"22":463,"23":464,"24":468,"25":471,"26":474,"27":475,"28":477,"29":479,"30":481,"31":492,"32":494,"33":505,"34":507,"35":514,"36":539,"37":541,"38":544,"39":551,"40":555,"41":580,"42":581,"43":612,"44":623,"45":630,"46":635,"47":660,"48":664,"49":684,"50":687,"51":695,"52":707,"53":710,"54":730,"55":736,"56":737,"57":742,"58":753,"59":756,"60":793,"61":795,"62":799,"63":810,"64":812,"65":845,"66":850,"67":857,"68":859,"69":870,"70":874,"71":880,"72":881,"73":886,"74":897,"75":899,"76":905,"77":917,"78":920,"79":922,"80":933,"81":935,"82":938,"83":960,"85":976,"86":985,"87":1008,"88":1011},[195,230,461,504,520,547,571,594,598,607,638,659,662,665,679,688,691,698,712,727,757,762,773,778,779,801,821,822,834,843,852,853,855,863,876,878,882,895,896,907,916,926,965,975,978,1003],[512,535,542,548,549,568,596,625,626,643,644,678,683,714,739,740,744,758,766,776,791,792,814,817,840,841,868,879,893,900,906,941,943,971,996,1009,1015,1018],{"0":527,"1":533,"2":537,"3":553,"4":563,"5":570,"6":582,"7":602,"9":634,"10":668,"11":674,"12":680,"13":706,"14":717,"15":764,"16":767,"17":807,"18":829,"19":842,"20":862,"21":884,"22":890,"23":894,"24":914,"25":919,"26":928,"27":932,"28":942,"29":950,"30":953,"31":967,"32":980,"33":991,"34":993,"35":1023},{"0":513,"2":523,"3":532,"4":556,"5":586,"6":591,"7":592,"8":606,"9":613,"10":617,"11":629,"12":642,"13":657,"14":750,"15":759,"16":772,"17":784,"18":787,"20":819,"21":833,"22":836,"23":849,"24":856,"25":864,"26":865,"27":927,"28":931,"29":948,"30":999,"31":1000,"32":1002,"33":1010,"34":1020},{"0":516,"1":529,"2":603,"3":611,"4":631,"5":639,"6":647,"7":682,"8":738,"9":752,"12":828,"13":835,"14":839,"15":883,"16":885,"17":902,"18":909,"19":934,"20":940,"21":945,"22":951,"23":981,"24":1005,"25":1017},[519,558,569,588,618,622,640,654,673,693,722,768,775,802,803,816,826,875,877,923,939,955,959,963],{"0":528,"1":546,"2":561,"4":593,"5":620,"6":636,"7":637,"8":661,"9":705,"10":723,"11":755,"12":763,"13":804,"14":811,"15":824,"16":848,"17":911,"18":952,"19":954,"20":957,"21":972,"22":990,"23":1013},{"0":552,"1":584,"2":609,"3":615,"4":627,"5":648,"6":670,"7":708,"8":783,"9":820,"10":858,"12":910,"13":947},[536,573,578,597,650,789,831,851,860,982,988,992],[518,601,651,667,676,746,748,912,913,956,1007],[575,589,653,702,777,854,869,908,964,970,989],[579,658,798,929],[794,936],[847]]