[{"0":1,"1":2,"2":3,"4":5,"5":6,"6":8,"8":10,"9":11,"10":12,"11":13,"12":14,"13":16,"14":17,"15":18,"16":19,"17":20,"19":23,"24":28,"27":31,"28":32,"30":35,"31":36,"32":37,"35":41,"38":45,"39":46,"42":51,"43":52,"44":53,"45":54,"46":55,"50":59,"51":60,"52":61,"53":62,"54":64,"55":65,"57":67,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"65":75,"66":76,"67":78,"68":80,"70":82,"72":85,"73":86,"74":87,"75":88,"80":94,"81":95,"82":97,"83":98,"84":99,"85":100,"87":103,"88":104,"89":105,"90":106,"91":107,"92":108,"93":109,"95":111,"96":113,"101":120,"102":121,"103":122,"105":124,"106":125,"107":126,"108":127,"109":128,"110":129,"112":131,"113":133,"114":134,"116":136,"117":137,"118":138,"119":139,"121":142,"123":144,"124":145,"125":146,"127":148,"128":149,"129":150,"130":151,"131":152,"132":153,"134":155,"136":157,"138":160,"139":161,"140":162,"141":163,"144":166,"145":167,"146":168,"147":169,"148":170,"149":171,"151":173,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":182,"160":184,"161":185,"162":186,"163":187,"164":188,"165":189,"166":191,"167":192,"168":193,"169":194,"170":195,"171":196,"172":197,"173":198,"174":199,"175":200,"176":201,"178":204,"180":207,"181":208,"184":211,"186":213,"187":214,"188":215,"189":216,"190":218,"192":220,"193":221,"198":228,"199":229,"200":230,"201":231,"202":232,"203":233,"204":234,"205":235,"206":236,"207":237,"209":239,"212":244,"214":247,"215":248,"217":250,"223":259,"224":261,"226":263,"227":264,"230":268,"231":269,"232":270,"234":272,"235":273,"236":274,"237":276,"239":278,"240":281,"241":282,"242":283,"243":284,"244":285,"245":286,"246":287,"247":288,"248":289,"249":291,"250":292,"254":296,"255":297,"257":299,"259":301,"260":302,"262":304,"263":305,"265":307,"266":308,"267":309,"268":310,"269":311,"270":312,"271":313,"272":314,"273":315,"275":317,"278":320,"280":322,"282":324,"284":326,"285":327,"286":328,"287":329,"289":331,"291":334,"295":338,"297":340,"300":343,"301":344,"303":346,"304":347,"305":348,"306":349,"307":350,"311":354,"313":356,"314":357,"315":358,"316":359,"319":362,"320":363,"321":364,"322":365,"323":366,"324":368,"325":371,"326":372,"327":373,"328":374,"329":375,"330":376,"331":377,"332":378,"333":379,"335":381,"336":382,"337":383,"338":384,"339":385,"341":387,"342":388,"343":389,"344":391,"345":392,"346":393,"347":394,"348":395,"349":396,"350":397,"351":399,"352":400,"353":401,"354":406,"355":411,"356":413,"357":415,"358":416,"359":420,"360":424,"361":426,"362":428,"363":433,"364":436,"365":440,"366":441,"367":445,"368":449,"369":453,"370":455,"371":459,"372":462,"373":463,"374":467,"375":468,"376":470,"378":473,"379":474,"380":476,"381":478,"382":482,"383":486,"384":487,"385":498,"386":499,"387":502,"388":504,"389":509,"390":510,"391":511,"392":512,"393":515,"394":519,"395":523,"396":526,"397":528,"398":531,"399":532,"401":540,"402":541,"403":542,"404":545,"405":554,"406":555,"407":556,"410":563,"411":567,"412":570,"413":572,"414":573,"415":587,"416":590,"417":591,"418":597,"419":606,"420":608,"421":609,"422":610,"423":611,"424":612,"425":613,"426":615,"427":619,"429":624,"430":626,"431":627,"433":636,"434":638,"435":649,"436":650,"437":651,"438":652,"439":656,"440":658,"441":659,"442":660,"443":664,"444":665,"445":666,"446":667,"447":672,"448":673,"449":677,"450":681,"451":684,"452":686,"453":688,"454":689,"455":690,"456":694,"457":696,"458":697,"459":704,"460":705,"461":706,"462":708,"463":712,"464":717,"465":722,"466":727,"467":736,"468":737,"469":751,"470":752,"471":756,"472":757,"473":767,"474":771,"475":777,"476":779,"477":781,"478":782,"479":786,"480":788,"481":789,"482":797},{"0":0,"1":7,"2":15,"3":21,"5":40,"6":44,"7":49,"8":50,"9":63,"10":77,"11":79,"12":84,"13":89,"14":96,"15":102,"16":112,"17":117,"18":132,"19":141,"20":158,"21":174,"22":183,"23":190,"24":203,"25":205,"26":217,"27":225,"29":241,"30":242,"31":245,"32":253,"33":255,"34":257,"35":260,"36":265,"37":275,"38":279,"39":280,"40":290,"41":332,"42":367,"43":369,"44":370,"45":390,"46":398,"47":407,"48":409,"49":410,"50":418,"51":427,"52":430,"53":431,"54":432,"55":443,"56":444,"57":446,"58":450,"59":452,"60":454,"61":460,"62":464,"63":465,"64":469,"65":475,"66":479,"68":491,"69":495,"70":505,"71":506,"72":508,"73":514,"74":527,"75":530,"76":536,"77":537,"78":549,"79":558,"80":576,"81":578,"82":579,"83":580,"84":581,"85":583,"86":589,"87":596,"88":599,"89":603,"90":604,"91":605,"92":614,"93":623,"94":628,"95":632,"96":640,"97":642,"98":643,"99":644,"100":645,"101":655,"102":657,"104":671,"105":676,"106":678,"107":679,"108":687,"109":692,"110":702,"111":703,"112":709,"113":710,"114":711,"115":713,"116":714,"117":720,"118":731,"120":738,"121":740,"122":742,"123":745,"125":748,"126":758,"127":760,"128":761,"129":762,"130":763,"131":764,"133":775,"134":783,"135":785,"136":790,"137":792,"138":794,"139":799},{"0":116,"2":421,"4":438,"5":442,"6":447,"8":477,"9":483,"10":485,"11":494,"12":496,"13":500,"14":503,"15":550,"16":552,"17":582,"18":584,"19":586,"20":588,"22":598,"25":620,"26":629,"27":639,"28":641,"29":647,"30":648,"31":668,"32":675,"33":685,"34":723,"36":729,"37":746,"39":773,"40":787},{"1":429,"2":492,"4":513,"5":524,"6":559,"7":565,"9":661,"10":699,"11":715,"12":744,"13":749,"16":793,"17":798},{"2":525,"3":535,"7":616,"12":735,"14":753,"16":784},{"0":533,"1":544,"3":585,"7":716,"8":734,"9":796},{"1":448,"4":569,"5":625,"9":718,"10":721,"12":728,"13":739},{"0":402,"5":507,"6":521,"7":529,"8":601,"9":633,"10":662},{"5":543},{"2":520},[],[],[],[],[],[],[],[]]