[{"0":0,"1":1,"2":2,"4":4,"5":5,"7":7,"8":9,"9":11,"10":12,"13":15,"14":17,"15":18,"17":20,"18":21,"19":23,"20":24,"21":27,"22":28,"25":31,"26":32,"27":33,"29":35,"30":36,"31":37,"32":39,"33":40,"34":41,"35":42,"37":46,"38":47,"39":48,"40":49,"41":50,"42":51,"43":52,"44":53,"45":54,"46":56,"47":57,"48":58,"49":59,"50":60,"51":61,"52":62,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":72,"61":73,"62":74,"64":77,"65":81,"66":83,"67":84,"68":85,"69":86,"70":144,"71":145,"72":146,"73":147,"74":148,"75":150,"76":151,"77":152,"78":153,"79":154,"80":155,"81":156,"83":158,"84":159,"86":161,"88":163,"89":164,"90":166,"92":168,"93":171,"94":172,"95":175,"96":176,"97":178,"98":179,"99":180,"100":181,"101":184,"102":185,"104":187,"105":188,"106":189,"107":191,"108":193,"109":194,"110":195,"111":196,"112":197,"113":198,"114":199,"115":202,"116":203,"117":205,"118":206,"119":207,"121":210,"123":212,"124":213,"125":214,"126":215,"127":217,"128":218,"129":219,"130":220,"131":221,"132":222,"134":224,"135":227,"136":228,"138":230,"139":231,"140":288,"141":294,"142":298,"143":299,"144":305,"145":309,"146":313,"147":320,"148":323,"149":326,"150":327,"151":333,"152":340,"153":342,"155":350,"156":358,"158":362,"159":365,"160":370,"161":374,"162":375,"163":381,"164":383,"165":396,"166":401,"167":424,"168":430,"169":441,"170":455,"171":469,"172":474,"173":482,"174":490,"175":499,"176":502,"178":504,"179":510,"180":524,"181":532,"182":533,"183":537,"184":549,"185":553,"186":554,"187":559,"189":569},{"0":10,"1":16,"2":22,"4":26,"5":38,"7":45,"8":55,"9":63,"10":71,"11":76,"12":79,"13":80,"14":82,"15":87,"16":91,"17":94,"18":95,"19":98,"20":99,"21":100,"23":105,"25":108,"26":109,"28":112,"29":114,"30":116,"33":121,"34":122,"36":126,"37":127,"39":129,"40":130,"42":133,"43":136,"44":137,"45":138,"46":139,"48":142,"49":143,"50":149,"51":165,"52":169,"53":170,"54":173,"55":174,"56":177,"58":183,"59":190,"60":192,"61":200,"62":201,"63":204,"64":209,"65":216,"66":225,"67":226,"68":232,"69":233,"70":234,"71":235,"72":236,"73":238,"74":239,"75":240,"76":241,"77":242,"80":248,"81":249,"82":250,"84":253,"85":254,"86":255,"87":256,"88":257,"89":259,"90":260,"91":263,"95":267,"96":270,"97":274,"98":275,"99":277,"100":279,"101":283,"102":284,"103":286,"104":287,"105":291,"106":296,"107":311,"109":330,"110":331,"111":337,"112":339,"113":348,"114":351,"115":359,"116":360,"117":379,"118":385,"119":389,"120":398,"121":407,"122":412,"123":417,"124":418,"125":426,"126":433,"127":434,"128":450,"129":461,"130":462,"131":476,"132":479,"133":484,"134":491,"135":498,"136":501,"137":506,"138":511,"139":512,"140":523,"141":527,"142":531,"143":534,"144":540},{"0":8,"1":78,"2":88,"3":89,"4":90,"5":92,"6":93,"7":96,"8":101,"9":102,"10":104,"11":106,"12":110,"13":113,"14":115,"15":117,"16":123,"17":125,"18":132,"19":140,"20":243,"21":245,"22":247,"23":252,"24":258,"25":261,"26":271,"27":272,"28":276,"29":278,"30":282,"31":285,"32":290,"33":295,"34":297,"35":301,"36":302,"37":307,"39":321,"40":328,"42":338,"43":341,"44":346,"45":353,"46":354,"47":355,"48":356,"49":363,"50":364,"51":367,"53":380,"54":388,"55":393,"56":394,"57":397,"58":403,"59":409,"60":411,"61":415,"62":423,"63":428,"64":440,"65":442,"66":444,"67":445,"68":454,"69":456,"71":470,"72":471,"73":481,"74":485,"75":486,"76":487,"77":493,"78":528,"79":538,"80":541,"81":547,"82":555,"84":571,"85":572,"86":573,"87":574,"88":575},{"0":97,"1":118,"2":134,"3":135,"4":237,"5":262,"6":268,"7":269,"8":273,"9":280,"10":281,"11":292,"13":303,"14":312,"15":322,"16":324,"17":334,"18":335,"19":357,"20":410,"21":421,"22":422,"23":425,"24":427,"25":432,"27":446,"28":447,"29":460,"30":464,"31":465,"32":466,"34":509,"35":514,"36":516,"37":519,"38":542,"39":557,"40":558,"41":562,"43":570},{"0":289,"1":306,"2":308,"3":310,"4":315,"5":316,"6":344,"8":391,"9":392,"10":405,"11":435,"12":437,"13":448,"14":475,"15":488,"16":497,"17":500,"18":505,"19":521,"21":548,"22":556,"23":566},{"1":382,"3":413,"4":449,"6":459,"7":463,"8":468,"10":480,"11":483,"12":492,"13":518,"15":536,"16":539,"17":564},{"0":304,"1":314,"2":371,"3":378,"4":451,"5":507,"7":561},{"0":300,"1":319,"2":332,"3":376,"4":395,"5":399,"6":436,"7":439,"8":443,"9":453,"11":508,"12":513,"14":560},{"1":377,"4":419,"5":473,"6":517,"7":526},{"0":345,"3":404,"5":416,"6":458,"7":478,"9":522},{"0":325,"2":384,"5":565},{"4":520},[],[],[]]