[{"0":1,"1":2,"2":3,"4":5,"6":7,"8":10,"10":12,"12":14,"13":15,"14":16,"18":20,"20":22,"22":24,"23":25,"26":28,"27":29,"28":30,"30":33,"31":34,"32":35,"33":36,"36":39,"38":42,"39":43,"40":44,"41":45,"44":48,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"53":57,"56":61,"58":63,"60":65,"61":66,"62":67,"63":68,"65":70,"66":71,"67":72,"68":73,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":86,"82":88,"83":89,"85":91,"86":92,"87":93,"89":95,"90":97,"91":98,"93":100,"95":102,"96":103,"97":104,"98":105,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":113,"108":117,"111":120,"112":121,"113":122,"115":124,"116":125,"117":126,"118":127,"121":130,"122":131,"123":132,"124":133,"126":135,"127":136,"129":138,"130":139,"131":140,"132":141,"133":142,"135":144,"136":145,"140":149,"141":150,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"148":157,"149":158,"150":159,"152":161,"153":162,"154":163,"155":164,"156":165,"159":168,"160":169,"161":170,"163":172,"164":173,"165":174,"166":175,"167":176,"168":177,"169":178,"170":179,"172":181,"173":183,"174":184,"175":185,"176":186,"177":187,"178":188,"179":189,"180":190,"181":191,"182":192,"183":193,"184":194,"185":195,"186":196,"187":197,"188":198,"189":199,"190":200,"193":203,"194":204,"195":205,"197":207,"198":209,"199":211,"201":213,"202":214,"203":215,"204":216,"205":217,"207":219,"208":220,"209":222,"210":223,"211":224,"212":225,"213":226,"215":228,"216":229,"217":230,"219":232,"220":233,"222":235,"223":236,"224":237,"225":238,"226":240,"227":241,"228":242,"229":243,"230":244,"231":245,"233":247,"234":248,"235":249,"236":250,"237":251,"240":254,"242":256,"243":257,"245":259,"247":262,"248":264,"250":266,"251":267,"252":268,"253":269,"254":270,"255":271,"256":272,"257":273,"258":274,"259":275,"261":277,"262":278,"263":279,"264":280,"265":281,"266":282,"267":283,"268":285,"269":287,"270":288,"271":289,"272":290,"273":292,"274":293,"275":294,"276":295,"277":296,"280":299,"281":300,"282":301,"283":302,"284":303,"285":305,"286":306,"288":308,"289":309,"290":310,"291":311,"292":312,"295":315,"296":316,"297":317,"298":318,"299":319,"301":321,"302":322,"303":323,"305":326,"306":327,"309":330,"310":331,"311":332,"312":333,"313":334,"314":335,"316":337,"317":338,"318":339,"319":340,"320":341,"321":342,"323":344,"326":347,"327":348,"330":352,"331":353,"332":354,"333":356,"335":358,"336":359,"338":361,"339":362,"340":363,"341":364,"342":365,"343":366,"344":367,"346":369,"347":370,"348":371,"349":372,"350":373,"351":374,"352":375,"354":377,"355":378,"356":379,"357":380,"358":381,"359":382,"360":383,"361":384,"362":385,"363":386,"364":388,"365":389,"366":390,"367":391,"369":394,"370":395,"371":396,"372":397,"373":398,"374":399,"375":401,"376":403,"377":405,"378":408,"379":409,"380":410,"381":412,"382":417,"383":420,"384":426,"385":427,"386":433,"387":434,"388":437,"389":440,"390":441,"391":442,"392":443,"393":447,"394":449,"395":450,"396":457,"397":458,"398":461,"399":466,"400":467,"401":468,"402":472,"403":473,"404":475,"405":477,"406":478,"407":479,"408":480,"409":482,"410":484,"411":486,"412":489,"413":494,"414":496,"415":499,"416":505,"417":507,"418":508,"420":521,"421":522,"422":524,"424":526,"425":527,"426":531,"427":533,"428":539,"429":541,"430":546,"432":562,"433":563,"434":574,"435":576,"436":588,"437":591,"438":596,"439":597,"442":607,"443":610,"444":613,"445":614,"446":615,"447":617,"448":619,"450":626,"451":629,"452":635,"453":640,"454":641,"455":644,"456":646,"457":647,"458":648,"459":654,"460":655,"461":656,"463":661,"464":665,"465":666,"466":667,"467":672,"468":677,"469":678,"470":687,"471":691,"472":699,"473":704,"474":705,"475":706,"476":708,"477":715,"478":722,"479":723,"480":724,"481":727,"482":732,"483":738,"484":739,"485":742,"486":745,"487":747,"488":752,"489":753,"490":757,"491":759,"492":761,"493":762,"494":764,"495":770,"496":779,"497":786,"498":787,"499":790,"500":791,"502":795,"503":798},{"0":0,"1":8,"3":40,"4":60,"5":87,"6":96,"7":106,"9":182,"10":208,"11":210,"12":221,"13":239,"14":260,"16":284,"17":286,"18":291,"19":304,"20":324,"21":350,"22":355,"23":387,"24":393,"25":400,"26":404,"27":407,"28":413,"29":414,"30":415,"31":416,"32":419,"33":422,"34":432,"35":436,"36":446,"37":451,"38":452,"39":459,"40":462,"41":469,"42":471,"43":481,"44":488,"45":493,"46":502,"47":516,"48":519,"49":534,"50":536,"51":537,"52":542,"53":547,"54":548,"55":550,"56":557,"58":564,"59":565,"60":566,"61":575,"62":579,"63":580,"64":581,"65":582,"66":584,"67":587,"68":594,"69":603,"70":628,"71":631,"72":633,"73":649,"74":663,"75":669,"76":671,"77":676,"78":679,"79":685,"80":690,"81":692,"82":694,"83":695,"84":698,"85":701,"86":726,"87":733,"88":736,"90":748,"91":750,"92":751,"93":754,"94":756,"95":763,"97":768,"98":774,"99":775,"100":777,"102":784,"103":789,"104":793,"105":794,"106":799},{"0":402,"1":460,"2":487,"4":498,"5":504,"6":506,"8":535,"9":540,"11":559,"12":561,"13":590,"14":595,"15":602,"16":638,"20":689,"21":696,"22":700,"23":703,"25":728,"26":731,"27":735,"28":737,"29":771,"31":781,"32":788},{"0":439,"3":511,"5":593,"6":598,"8":618,"10":662,"11":664,"12":686,"13":697,"15":743},{"1":448,"2":483,"5":513,"7":532,"10":553,"11":568,"12":573,"13":578,"14":621,"15":710,"16":730,"18":755},{"0":411,"4":555,"5":567,"6":605,"12":766,"13":772},{"3":552,"5":589,"6":630,"7":639,"8":643,"9":668,"11":680,"12":681,"13":688},{"0":465,"1":512,"3":518,"5":554,"6":586,"9":632,"12":718},{"2":454,"9":675,"11":783},{"1":529,"7":729},{"10":711},[],[],[],[],[],[],[],[]]