[{"1":1,"2":3,"3":4,"4":5,"6":7,"8":9,"9":10,"10":11,"11":12,"12":13,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":36,"34":37,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"43":46,"44":47,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":59,"56":60,"57":61,"58":63,"59":65,"60":66,"61":67,"62":68,"64":70,"65":71,"66":72,"67":73,"68":74,"69":76,"70":77,"72":79,"73":80,"74":81,"75":82,"76":83,"77":84,"78":85,"79":86,"80":89,"82":91,"83":92,"84":93,"85":94,"87":96,"88":97,"90":99,"91":100,"92":101,"94":105,"95":106,"96":107,"97":109,"99":111,"100":112,"101":113,"102":114,"104":116,"105":117,"106":118,"107":119,"108":120,"110":122,"112":124,"113":125,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":139,"126":140,"128":142,"130":144,"131":145,"132":146,"133":147,"134":148,"135":149,"136":151,"137":152,"138":153,"139":154,"141":156,"142":157,"143":158,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":167,"153":168,"154":169,"155":170,"156":171,"157":172,"158":174,"160":176,"161":177,"162":178,"163":180,"164":181,"165":182,"166":184,"167":185,"168":187,"169":188,"170":189,"172":191,"173":192,"174":193,"175":194,"176":195,"177":196,"181":259,"183":261,"184":262,"185":263,"187":265,"188":266,"189":267,"190":268,"192":270,"193":272,"194":273,"195":274,"197":276,"198":278,"199":279,"200":280,"202":282,"203":283,"204":284,"205":285,"206":287,"208":289,"211":292,"212":293,"214":295,"216":297,"217":298,"218":299,"219":300,"220":301,"221":302,"222":304,"223":306,"224":309,"225":311,"226":312,"227":313,"228":314,"229":315,"230":316,"231":317,"232":318,"233":320,"234":321,"235":322,"236":323,"237":324,"238":325,"239":327,"240":328,"241":329,"242":330,"244":332,"246":334,"247":335,"248":336,"249":337,"250":338,"251":339,"254":342,"255":343,"256":344,"257":345,"259":348,"260":349,"262":351,"263":352,"264":353,"265":356,"266":357,"267":358,"268":359,"269":360,"270":361,"273":366,"274":367,"275":368,"276":369,"277":370,"278":371,"279":372,"280":373,"281":375,"282":376,"283":377,"285":379,"286":380,"287":381,"289":383,"290":384,"292":386,"293":387,"294":388,"295":392,"296":393,"298":395,"299":396,"300":397,"301":399,"302":401,"303":402,"304":403,"305":404,"306":406,"307":407,"308":410,"309":411,"310":414,"311":415,"312":416,"313":418,"314":419,"315":420,"316":421,"317":422,"318":423,"319":424,"320":425,"321":426,"322":428,"323":429,"324":430,"325":431,"326":432,"327":433,"328":434,"329":435,"330":436,"331":437,"332":438,"333":439,"334":440,"335":441,"336":442,"337":443,"338":444,"339":445,"340":446,"342":448,"343":449,"344":450,"345":451,"346":514,"347":517,"348":520,"349":531,"350":538,"351":539,"352":543,"353":553,"354":555,"355":559,"356":570,"357":572,"358":578,"359":615,"360":619,"361":622,"362":624,"363":631,"364":635,"365":643,"366":669,"367":672,"368":676,"369":680,"370":684,"371":696,"372":703,"373":714,"374":723,"375":729,"376":730,"377":732,"378":745,"379":747,"380":753,"381":756,"382":762,"383":765,"384":791,"385":803,"386":820,"387":829,"388":832,"389":839,"390":853,"391":863,"392":866,"393":869,"394":887,"395":895,"396":901,"397":916,"398":920,"399":928,"400":929,"401":938,"402":939,"403":946,"404":953,"405":954,"406":956,"407":958,"408":963,"409":968,"410":969,"411":986,"412":993,"413":994,"414":999,"415":1001,"416":1003,"417":1005},{"0":14,"1":27,"2":62,"3":75,"4":87,"5":88,"6":102,"7":103,"8":108,"9":127,"10":150,"11":173,"12":179,"13":183,"14":186,"16":199,"17":200,"18":201,"19":202,"20":203,"21":204,"23":206,"25":208,"26":209,"27":210,"28":213,"30":215,"31":219,"32":220,"33":221,"34":223,"36":225,"37":226,"38":227,"40":229,"42":231,"43":232,"44":233,"45":234,"47":236,"48":237,"50":240,"51":241,"52":242,"53":243,"54":244,"55":245,"56":246,"57":247,"58":248,"59":249,"60":250,"61":252,"62":253,"63":255,"64":271,"65":277,"66":286,"67":303,"68":305,"69":307,"70":308,"71":310,"72":319,"73":326,"74":347,"75":354,"76":362,"77":363,"78":374,"79":389,"80":390,"81":391,"82":398,"83":400,"84":405,"85":408,"86":409,"87":412,"88":413,"89":417,"90":427,"91":453,"92":456,"93":457,"94":459,"95":460,"96":461,"97":462,"98":463,"99":465,"100":466,"101":467,"102":468,"103":470,"104":471,"105":473,"106":476,"107":477,"108":479,"109":480,"113":485,"115":487,"116":488,"117":489,"118":490,"119":491,"120":493,"122":496,"123":497,"124":498,"125":499,"126":501,"127":502,"128":503,"129":504,"130":505,"131":507,"132":508,"133":509,"134":510,"135":512,"136":524,"137":525,"138":530,"139":540,"140":541,"141":547,"142":549,"143":550,"144":564,"145":574,"146":577,"147":581,"148":584,"149":586,"150":596,"151":600,"152":601,"153":636,"154":638,"155":640,"156":641,"157":644,"158":653,"159":655,"160":657,"161":659,"162":667,"163":675,"164":678,"165":699,"166":702,"167":704,"168":711,"169":717,"170":725,"171":742,"172":748,"173":749,"174":757,"175":763,"176":764,"177":766,"178":770,"179":772,"180":773,"181":787,"182":789,"183":792,"184":796,"185":797,"186":798,"187":800,"188":810,"189":813,"191":817,"192":818,"193":822,"194":823,"195":830,"196":831,"197":834,"198":836,"199":837,"200":841,"201":842,"202":847,"203":852,"204":856,"205":870,"206":871,"207":874,"208":876,"209":879,"210":884,"211":891,"212":896,"213":904,"214":907,"216":923,"217":924,"218":934,"219":937,"220":943,"221":945,"222":948,"223":951,"224":964,"225":967,"226":970,"227":971,"228":978,"229":979,"230":980,"231":997,"232":1011,"233":1013,"234":1015,"235":1016,"236":1020,"237":1022},{"0":2,"1":58,"2":198,"3":211,"4":217,"5":218,"6":222,"7":238,"8":254,"9":355,"10":452,"11":454,"12":455,"13":458,"14":464,"15":469,"16":472,"17":475,"18":482,"19":492,"20":494,"21":500,"22":506,"23":511,"24":515,"27":527,"28":532,"29":535,"30":536,"31":545,"32":548,"33":554,"34":561,"35":565,"36":566,"37":567,"38":569,"39":582,"40":587,"41":592,"42":598,"43":605,"44":607,"45":613,"47":617,"48":620,"49":623,"50":630,"51":637,"52":646,"53":648,"54":656,"55":658,"56":677,"57":691,"58":695,"60":705,"61":706,"62":707,"63":720,"64":731,"65":739,"66":759,"67":774,"68":779,"69":786,"70":788,"71":799,"72":805,"73":807,"74":812,"75":828,"77":854,"78":859,"79":860,"80":864,"81":872,"82":880,"83":885,"84":899,"85":902,"86":908,"87":919,"88":925,"89":931,"90":932,"91":947,"92":949,"93":959,"94":960,"95":977,"96":1004,"97":1007,"98":1018},{"0":64,"1":129,"2":212,"3":216,"4":251,"5":474,"6":478,"7":522,"9":544,"10":551,"11":556,"12":562,"13":563,"14":568,"15":571,"18":595,"19":599,"20":602,"21":610,"22":611,"23":626,"24":629,"25":652,"26":654,"27":663,"28":666,"29":670,"30":673,"31":685,"32":692,"34":694,"35":708,"37":740,"38":743,"39":744,"41":761,"42":767,"43":778,"44":816,"45":821,"46":835,"47":840,"48":857,"49":868,"50":878,"52":883,"53":893,"54":898,"55":905,"57":926,"58":935,"59":936,"60":944,"61":955,"62":961,"63":973,"64":975,"65":981,"66":982,"67":988,"68":1002,"69":1006,"70":1010,"71":1012,"72":1023},{"0":513,"1":542,"2":558,"3":585,"4":589,"5":627,"6":642,"7":662,"8":683,"9":690,"10":701,"11":712,"12":716,"13":726,"14":735,"15":736,"16":738,"17":751,"18":771,"19":775,"20":776,"21":785,"22":795,"23":804,"24":809,"25":838,"26":849,"29":861,"30":875,"31":877,"33":894,"34":903,"35":917,"36":921,"37":940,"38":992,"39":995,"40":1008,"41":1017},{"1":537,"3":580,"4":583,"6":603,"7":604,"9":618,"10":645,"11":671,"12":674,"13":700,"14":718,"15":719,"16":768,"17":769,"18":777,"19":780,"20":781,"21":793,"22":825,"23":833,"24":843,"25":848,"26":886,"27":892,"28":897,"29":911,"31":941,"32":990,"34":1019},{"0":573,"1":606,"2":614,"3":651,"4":664,"5":679,"6":697,"7":724,"8":733,"9":734,"11":783,"13":801,"15":867,"17":900,"18":906,"19":950,"21":974,"23":1009},{"1":593,"2":609,"3":628,"5":649,"6":668,"7":681,"8":758,"9":784,"10":806,"11":811,"13":845,"15":909,"16":927,"18":942,"19":957,"20":984},{"0":552,"2":687,"3":715,"4":746,"5":760,"7":826,"10":915,"11":983,"12":1014},{"0":523,"1":557,"3":686,"5":709,"6":722,"7":727,"8":814,"10":873,"11":952},{"0":528,"1":529,"2":639,"3":647,"4":710,"5":713,"6":721,"7":808,"8":865,"9":882,"12":933,"13":972},{"0":526,"1":534,"2":621,"3":650,"4":660,"5":665,"7":741,"8":802,"9":855,"10":910,"11":965,"12":989,"13":996},{"0":546,"1":588,"2":608,"3":661,"4":682,"6":755},{"3":752,"4":962,"6":991},{"2":985},[]]