[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":11,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":25,"20":27,"21":28,"22":29,"23":30,"24":31,"25":32,"26":33,"27":34,"28":36,"29":37,"30":38,"31":48,"32":52,"33":70,"34":71,"35":76,"36":78,"37":79,"38":80,"39":81,"40":82,"41":83,"42":84,"43":85,"44":88,"45":90,"46":91,"47":92,"48":94,"49":95,"50":97,"51":98,"52":99,"53":100,"54":101,"55":102,"56":106,"57":107,"58":108,"59":109,"60":112,"61":113,"62":114,"63":115,"64":116,"65":117,"66":118,"67":119,"68":120,"69":121,"70":122,"71":124,"72":126,"73":127,"74":129,"75":131,"76":132,"77":133,"78":135,"79":140,"80":141,"81":144,"82":148,"83":152,"84":154,"85":155,"86":156,"88":162,"89":165,"90":166,"91":170,"92":171,"93":173,"94":174,"95":175,"96":177,"97":183,"98":184,"99":185,"100":186,"101":187,"102":188,"103":189,"104":190,"105":191,"106":193,"107":194,"108":196,"109":197,"110":198,"111":199,"112":200,"113":208,"114":209,"115":211,"116":216,"117":218,"118":220,"119":221,"120":222,"121":223,"122":224,"123":225,"124":228,"125":229,"126":232,"127":236,"128":237,"129":238,"130":239,"131":240,"132":241,"133":242,"134":244,"135":245,"136":246,"137":247,"138":248,"139":250,"140":251,"141":252,"142":253,"143":254,"144":255,"145":256,"146":257,"147":259,"148":261,"149":262,"150":263,"151":266,"152":269,"153":270,"154":272,"155":274,"156":280,"157":282,"158":284,"159":286,"160":288,"161":293,"162":294,"163":295,"164":301,"165":303,"166":307,"167":311,"168":315,"169":316,"170":317,"171":318,"172":320,"173":321,"174":330,"175":332,"176":334,"177":336,"178":341,"179":343,"180":346,"181":347,"182":348,"183":349,"184":350,"185":351,"186":352,"187":353,"188":354,"189":355,"190":356,"191":357,"192":359,"193":360,"194":361,"195":362,"196":363,"197":364,"198":365,"199":366,"200":367,"201":368,"202":370,"203":371,"204":372,"205":373,"206":374,"207":375,"208":376,"209":377,"210":378,"211":379,"212":380,"213":381,"214":382,"215":383,"216":384,"217":385,"218":386,"219":387,"220":389,"221":390,"222":391,"223":394,"224":396,"225":397,"226":398,"227":399,"228":400,"229":401,"230":403,"231":405,"232":406,"233":407,"234":408,"235":409,"236":410,"237":411,"238":412,"239":413,"240":415,"241":416,"242":419,"243":420,"244":422,"245":423,"246":424,"247":425,"248":426,"249":427,"250":428,"251":429,"252":430,"253":432,"254":433,"255":434,"256":435,"257":436,"258":437,"259":438,"260":439,"261":442,"262":443,"263":446,"264":447,"265":448,"266":452,"267":453,"268":454,"269":456,"270":457,"271":459,"272":476,"273":478,"274":479,"275":480,"276":482,"277":483,"278":485,"279":489,"280":491,"281":492,"282":494,"283":495,"284":496,"285":497,"286":498,"287":499,"288":501,"289":502,"290":503,"291":504,"292":505,"293":506,"294":507,"295":508,"296":509,"297":511,"298":514,"299":516,"300":517,"301":519,"302":520,"303":521,"304":522,"305":523,"306":524,"307":525,"308":526,"309":528,"310":529,"311":530,"312":531,"313":532,"314":533,"315":534,"316":535,"317":536,"318":537,"319":538,"320":539,"321":540,"322":541,"323":542,"324":543,"325":544,"326":545,"327":546,"328":547,"329":548,"330":549,"331":550,"332":551,"333":552,"334":553,"335":554,"336":555,"337":556,"338":557,"339":558,"340":559,"341":560,"342":561,"343":563,"344":564,"345":565,"346":566,"347":570,"348":572,"349":574,"350":575},[12,21,22,23,35,39,40,41,43,45,47,49,51,53,54,55,56,58,59,62,63,64,65,66,67,68,73,74,75,77,86,87,89,93,96,103,104,105,110,111,123,125,128,130,134,136,137,138,139,143,145,146,150,151,153,157,163,164,167,169,172,179,181,182,192,195,201,202,203,205,207,210,212,214,215,219,226,227,233,243,249,258,260,264,265,267,268,271,273,277,278,281,287,289,296,297,304,305,308,310,312,313,331,333,337,338,344,345,358,369,388,392,393,402,404,414,417,418,421,431,440,441,444,449,451,455,458,461,462,463,464,465,466,468,469,471,473,477,484,486,487,488,490,493,500,562,567,569,571,573],[7,24,26,42,50,57,60,61,69,72,142,147,149,158,160,161,168,176,178,180,204,206,213,235,275,283,290,291,292,298,299,300,302,309,314,319,322,324,325,326,327,335,339,340,342,395,445,450,467,470,474,475,481,510,512,513,515,518,527,568],[44,230,231,234,276,279,306,328,460,472],[46,217,285],[323,329]]