[{"0":0,"1":1,"3":3,"5":5,"8":8,"10":10,"12":12,"15":15,"16":16,"20":20,"23":23,"24":24,"27":27,"28":28,"30":30,"31":31,"32":32,"33":33,"34":34,"39":39,"41":41,"42":42,"43":43,"44":44,"45":45,"46":46,"51":51,"55":55,"58":58,"65":65,"66":66,"67":67,"68":68,"70":70,"71":71,"73":73,"74":74,"76":76,"79":79,"80":80,"81":81,"84":84,"85":85,"87":87,"88":88,"90":90,"91":91,"94":94,"95":95,"97":97,"100":100,"101":101,"102":102,"103":103,"104":104,"105":105,"108":108,"111":111,"113":114,"114":116,"115":117,"116":118,"123":126,"124":127,"125":128,"126":131,"128":133,"129":134,"131":136,"132":137,"134":139,"135":140,"137":143,"138":144,"139":145,"141":147,"142":148,"144":150,"145":151,"149":155,"150":156,"152":158,"156":163,"158":167,"159":168,"161":170,"167":177,"169":179,"170":180,"171":181,"173":183,"176":188,"177":189,"178":190,"183":195,"184":196,"185":198,"188":201,"189":202,"190":203,"193":206,"196":210,"197":211,"198":212,"199":213,"201":215,"203":217,"204":218,"205":219,"206":220,"207":221,"212":227,"215":230,"219":235,"221":237,"223":239,"225":241,"227":243,"229":245,"230":246,"231":248,"232":249,"233":250,"234":251,"241":260,"242":261,"245":264,"247":266,"249":268,"254":273,"255":274,"256":275,"258":277,"259":278,"260":279,"261":280,"262":281,"263":282,"264":283,"265":284,"267":286,"272":292,"273":293,"274":294,"275":295,"278":298,"279":299,"280":300,"281":301,"285":305,"287":307,"290":311,"291":312,"295":316,"296":317,"298":319,"299":320,"300":321,"301":322,"305":326,"306":327,"309":331,"313":335,"316":338,"319":341,"320":342,"321":343,"323":345,"324":346,"325":347,"327":349,"331":353,"332":354,"334":356,"335":357,"336":358,"337":359,"338":360,"339":361,"341":363,"342":364,"346":368,"350":373,"351":375,"352":376,"354":378,"357":381,"359":383,"361":385,"362":386,"364":388,"365":390,"374":399,"376":402,"378":404,"380":406,"382":408,"384":411,"385":412,"387":414,"388":415,"389":416,"390":417,"391":418,"392":419,"395":423,"397":425,"398":426,"399":427,"401":429,"403":431,"407":435,"408":436,"409":437,"410":438,"411":439,"412":440,"413":441,"419":447,"422":450,"424":452,"425":453,"426":454,"427":455,"429":457,"432":460,"433":461,"435":463,"437":465,"438":466,"440":468,"442":470,"444":472,"446":474,"447":475,"448":476,"451":479,"452":480,"453":481,"458":486,"465":493,"466":495,"467":496,"468":497,"469":498,"470":499,"471":500,"473":502,"474":503,"478":507,"479":508,"480":509,"481":510,"483":519,"484":524,"485":529,"486":531,"487":538,"490":553,"491":558,"492":560,"493":563,"494":565,"497":581,"501":599,"504":615,"505":624,"507":627,"509":640,"510":642,"511":650,"512":651,"513":652,"514":654,"516":659,"518":666,"519":669,"521":676,"522":683,"523":687,"524":691,"525":695,"527":712,"528":719,"529":733,"532":751,"533":753,"534":759,"535":760,"536":769,"538":777,"539":781,"541":791,"542":802,"543":803,"544":807,"545":817,"546":820,"549":831,"555":861,"557":884,"559":888,"562":896,"563":897,"564":898,"566":917,"569":929,"571":938,"572":941,"573":946,"574":951,"576":959,"577":962,"579":970,"581":979,"582":985,"584":990},{"1":115,"2":122,"3":129,"4":130,"6":161,"7":164,"8":165,"9":176,"11":187,"12":197,"14":222,"15":231,"16":247,"17":254,"19":290,"20":308,"22":372,"23":374,"25":401,"28":494,"29":513,"30":544,"32":547,"35":562,"36":572,"38":622,"39":623,"43":649,"44":653,"45":656,"47":681,"49":708,"51":721,"53":723,"58":738,"59":746,"61":763,"63":788,"64":794,"65":795,"66":810,"67":812,"69":825,"70":826,"71":829,"72":832,"74":842,"75":845,"76":849,"77":855,"79":871,"81":877,"83":901,"85":907,"86":909,"87":913,"88":914,"90":925,"91":937,"92":940,"94":952,"95":961,"96":977,"98":984,"99":987,"100":992,"105":1015,"106":1018},{"0":512,"3":533,"6":556,"7":573,"8":574,"9":577,"10":589,"12":598,"13":600,"14":612,"15":614,"16":621,"17":664,"20":690,"21":697,"23":700,"24":702,"25":707,"27":729,"29":776,"30":778,"33":800,"34":819,"37":857,"39":870,"40":873,"41":882,"42":891,"43":908,"45":932,"46":933,"47":939,"48":947,"50":996,"51":1003,"52":1004,"53":1020,"54":1022},{"0":514,"3":569,"4":583,"5":587,"6":613,"7":620,"9":660,"12":703,"13":709,"14":713,"15":752,"16":762,"17":773,"21":867,"22":887,"23":911,"25":931,"26":968,"28":978,"29":983,"30":988,"31":1001},{"0":516,"2":534,"4":570,"5":584,"7":633,"9":639,"10":641,"11":670,"12":694,"13":711,"14":720,"19":775,"21":875,"22":934,"23":945},{"0":522,"1":525,"2":567,"7":677,"8":692,"9":717,"10":755,"11":764,"12":793,"14":823,"15":864,"16":918,"17":919,"21":972,"22":973,"23":980,"24":994,"25":998,"26":999},{"0":555,"1":575,"2":596,"3":689,"4":714,"5":726,"6":743,"7":761,"8":801,"9":881,"12":954,"13":955,"14":964,"15":965,"17":991,"18":1021},{"0":521,"1":542,"3":616,"4":684,"6":796,"8":815,"9":879,"10":906,"11":916,"12":958,"13":1000,"14":1012,"15":1016},{"1":629,"2":655,"3":682,"4":698,"5":740,"10":889,"11":903,"12":995,"13":1019,"14":1023},{"1":541,"2":568,"3":586,"4":595,"5":617,"6":678,"7":685,"8":739,"9":787,"10":824,"11":840,"12":853,"14":894,"16":974,"17":975,"18":1013},{"0":539,"2":594,"3":618,"4":625,"5":667,"7":724,"8":745,"9":790,"10":798,"11":808,"12":856,"13":921,"14":1005},{"0":515,"1":530,"2":535,"3":588,"4":602,"5":610,"7":661,"9":771,"10":789,"11":806,"12":821,"13":833,"14":863,"15":878},{"0":566,"2":631,"4":730,"5":732,"6":737,"7":757,"8":841,"10":910,"11":915},{"1":559,"2":668,"4":715,"5":750,"7":811,"8":852,"9":866,"11":902,"13":928,"14":935,"15":966,"17":1009},{"1":680,"4":758,"5":766,"7":816,"8":848,"10":899,"12":967,"13":997,"15":1017},{"1":527,"2":557,"3":576,"6":672,"8":774,"9":809,"11":850,"12":993},{"0":632,"1":637,"5":696,"6":710,"7":785},{"0":585,"1":590,"3":868},{"0":611,"2":797},{"1":605,"2":607,"3":646,"4":716},[838],{"1":772},[]]