[{"0":0,"5":5,"6":7,"7":8,"10":11,"11":12,"13":14,"15":16,"17":18,"19":20,"20":21,"22":23,"23":24,"24":25,"25":26,"27":28,"29":32,"30":33,"31":34,"33":36,"34":37,"35":38,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"46":49,"50":56,"51":57,"53":59,"54":60,"55":61,"56":62,"57":63,"58":64,"61":67,"62":68,"63":69,"64":70,"65":71,"66":72,"67":73,"68":74,"70":76,"71":77,"72":78,"74":80,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"84":91,"86":93,"88":95,"89":96,"90":97,"91":98,"92":99,"94":101,"95":102,"96":103,"97":104,"98":106,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":113,"106":114,"107":115,"109":117,"111":119,"112":120,"113":121,"114":122,"116":124,"117":125,"119":127,"120":128,"121":129,"122":130,"123":131,"124":132,"128":136,"129":137,"130":138,"131":139,"132":140,"133":141,"134":142,"135":143,"136":144,"137":145,"138":146,"139":147,"142":150,"144":152,"145":153,"146":154,"147":155,"149":157,"150":158,"151":159,"152":160,"154":162,"155":163,"156":164,"157":165,"159":167,"160":168,"161":169,"162":170,"163":171,"164":172,"166":174,"169":177,"170":178,"172":180,"174":182,"175":183,"176":184,"178":187,"179":188,"180":189,"181":190,"182":191,"186":195,"187":196,"188":197,"189":198,"190":199,"192":201,"194":204,"195":205,"197":207,"198":208,"200":210,"201":211,"202":212,"203":213,"204":214,"205":215,"209":220,"211":222,"212":223,"213":224,"214":225,"215":226,"216":227,"217":228,"218":229,"219":230,"220":231,"221":232,"222":233,"223":235,"224":236,"226":238,"227":239,"228":240,"229":241,"231":243,"235":247,"236":249,"237":250,"238":251,"239":252,"240":253,"241":254,"242":255,"243":256,"245":258,"246":259,"247":260,"248":261,"249":262,"250":263,"251":264,"252":265,"253":266,"256":269,"257":270,"258":271,"259":272,"261":274,"262":275,"263":276,"264":277,"265":278,"266":279,"268":281,"269":282,"270":283,"271":284,"272":285,"275":288,"277":291,"278":292,"279":293,"280":294,"282":296,"283":297,"284":298,"285":299,"287":301,"290":304,"291":305,"292":306,"293":307,"294":309,"295":310,"296":311,"297":312,"298":313,"299":314,"301":316,"303":318,"304":319,"305":320,"306":321,"307":323,"309":326,"310":327,"311":328,"312":329,"315":332,"317":334,"318":335,"319":336,"321":339,"322":341,"325":344,"329":348,"331":350,"332":351,"335":354,"336":355,"338":357,"340":359,"341":360,"342":362,"343":363,"346":367,"348":369,"349":370,"350":371,"351":372,"352":373,"353":374,"354":375,"355":376,"357":379,"360":382,"361":383,"365":387,"366":389,"367":390,"369":393,"370":394,"371":395,"374":398,"375":399,"376":400,"377":401,"378":402,"379":405,"380":406,"383":410,"384":411,"385":412,"387":414,"388":415,"390":417,"391":418,"392":419,"394":421,"396":423,"397":424,"398":425,"399":426,"400":427,"401":428,"403":430,"404":431,"405":432,"407":435,"409":437,"410":438,"414":442,"415":443,"416":444,"417":445,"418":446,"419":447,"420":449,"421":450,"422":451,"423":452,"424":453,"425":454,"426":455,"428":457,"429":458,"432":461,"433":462,"434":463,"435":464,"436":465,"437":466,"438":467,"439":468,"443":472,"444":473,"445":474,"446":475,"447":476,"448":477,"451":480,"452":481,"455":484,"456":485,"458":488,"459":489,"460":490,"461":492,"462":493,"463":494,"464":495,"466":498,"468":501,"469":502,"471":504,"472":505,"473":506,"474":507,"475":508,"476":509,"478":511,"479":517,"480":519,"482":521,"483":535,"484":537,"485":548,"486":557,"487":558,"490":573,"491":581,"492":582,"493":599,"494":602,"495":608,"496":623,"497":626,"499":639,"501":646,"502":652,"505":668,"507":681,"510":697,"512":702,"513":705,"517":733,"518":737,"519":740,"520":751,"521":754,"522":756,"523":758,"524":759,"525":760,"526":763,"527":780,"528":783,"529":787,"530":788,"533":801,"534":802,"535":803,"536":809,"538":819,"540":843,"541":846,"542":852,"543":859,"544":860,"546":864,"547":867,"550":894,"552":906,"553":907,"554":908,"555":924,"556":929,"557":931,"558":934,"559":936,"562":951,"564":966,"567":976,"568":977,"569":992,"570":997,"572":1007,"573":1018},{"0":6,"1":30,"4":54,"5":55,"6":90,"8":186,"9":202,"11":234,"12":248,"13":289,"14":308,"15":322,"16":325,"20":366,"21":377,"23":391,"24":403,"25":404,"26":408,"28":448,"30":491,"31":500,"32":514,"33":522,"34":526,"35":530,"36":531,"37":533,"39":544,"40":552,"42":564,"44":585,"46":589,"48":597,"49":603,"50":611,"51":614,"52":615,"53":617,"54":620,"56":624,"57":627,"58":628,"59":631,"60":636,"61":647,"62":649,"63":656,"64":657,"65":660,"66":667,"68":700,"69":704,"70":707,"71":713,"76":743,"77":748,"78":755,"79":757,"80":762,"82":766,"83":768,"84":772,"85":774,"86":777,"88":786,"89":794,"90":804,"93":814,"94":821,"95":823,"96":824,"97":826,"98":828,"99":835,"100":849,"101":851,"102":855,"103":862,"104":870,"106":877,"108":884,"110":891,"111":892,"113":901,"116":917,"117":919,"118":922,"119":925,"121":938,"122":945,"123":956,"124":957,"125":958,"126":962,"127":967,"128":971,"129":978,"130":988,"131":995,"133":998,"134":999,"135":1002,"136":1008,"137":1010,"138":1012,"139":1015},{"0":496,"1":515,"2":524,"3":525,"4":529,"5":534,"7":542,"8":559,"9":561,"10":574,"11":577,"12":584,"13":591,"16":616,"17":622,"19":632,"20":635,"21":640,"23":654,"24":658,"25":673,"26":676,"27":692,"28":695,"29":696,"30":712,"31":714,"32":718,"33":721,"34":724,"35":725,"36":738,"37":744,"38":746,"39":747,"40":749,"41":752,"42":767,"43":769,"44":797,"45":806,"46":810,"47":816,"48":820,"49":822,"50":827,"52":836,"53":837,"54":841,"56":848,"57":854,"58":869,"62":885,"63":895,"64":900,"65":909,"66":914,"67":933,"68":935,"69":941,"70":950,"71":952,"72":972,"73":973,"74":974,"75":979,"76":981,"77":989,"78":994,"79":1005,"80":1014,"81":1019,"82":1023},{"2":532,"3":545,"4":547,"5":551,"6":554,"8":575,"9":578,"10":579,"11":609,"12":610,"13":613,"14":629,"15":644,"16":671,"17":680,"18":694,"20":716,"21":723,"22":735,"23":741,"25":745,"26":761,"27":770,"28":778,"29":796,"30":798,"31":811,"32":815,"33":832,"34":838,"35":839,"36":853,"37":863,"38":866,"39":902,"41":911,"42":916,"44":920,"45":943,"46":944,"47":947,"48":963,"49":982,"51":985,"52":986,"53":993,"54":1000,"55":1003,"57":1017},{"0":516,"1":523,"2":556,"3":568,"4":583,"7":600,"8":601,"9":605,"10":619,"11":637,"12":638,"13":643,"14":651,"17":679,"18":686,"20":689,"21":699,"23":709,"24":726,"25":779,"26":784,"27":793,"28":813,"30":840,"31":842,"32":856,"33":881,"35":904,"37":923,"38":927,"39":946,"40":954,"41":955,"42":961,"44":980,"45":990,"46":1013},{"0":539,"1":546,"4":580,"5":586,"6":595,"7":604,"8":630,"9":645,"10":664,"12":670,"13":672,"14":678,"15":685,"16":727,"17":734,"18":750,"19":771,"20":775,"21":782,"24":812,"25":817,"26":825,"27":830,"28":872,"29":873,"30":880,"31":897,"32":928,"35":987},{"1":555,"2":566,"3":567,"5":594,"6":607,"7":659,"8":665,"10":688,"11":703,"12":722,"13":729,"14":731,"15":739,"18":791,"19":792,"20":807,"22":888,"24":921,"26":949,"27":953,"28":960,"30":983},{"2":562,"3":565,"4":572,"5":633,"7":674,"8":844,"10":865,"11":868,"12":886,"13":959,"14":968,"15":1022},{"0":512,"1":536,"2":543,"3":571,"6":663,"7":693,"10":789,"11":875,"12":878,"13":1004},{"2":708,"5":991},{"1":717,"4":912},[753,1016],[541,596,903],[650,690],[]]