[{"1":1,"2":2,"3":3,"4":4,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"19":20,"20":21,"21":22,"22":23,"24":25,"25":26,"26":27,"27":28,"28":29,"30":31,"33":34,"34":35,"35":36,"37":38,"38":39,"39":40,"40":41,"41":42,"42":44,"44":47,"47":51,"48":52,"49":53,"50":54,"52":56,"53":57,"54":58,"55":59,"56":60,"58":62,"59":63,"60":64,"61":65,"63":67,"64":68,"65":69,"66":70,"67":72,"68":73,"69":74,"70":75,"71":76,"72":78,"73":79,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"83":89,"84":90,"85":91,"87":93,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"95":101,"96":102,"98":105,"99":106,"100":107,"101":108,"102":110,"103":111,"104":112,"105":113,"106":114,"107":115,"109":117,"110":118,"111":119,"113":121,"114":122,"115":123,"116":124,"117":125,"118":126,"119":127,"120":128,"121":129,"123":131,"124":132,"125":133,"126":134,"127":135,"128":136,"129":137,"130":138,"131":139,"132":140,"133":142,"135":144,"136":145,"137":146,"138":147,"139":148,"140":149,"143":152,"145":154,"148":157,"149":158,"150":159,"151":160,"152":161,"153":162,"155":164,"156":165,"157":166,"158":167,"159":168,"160":169,"161":170,"162":171,"163":173,"164":174,"165":175,"166":176,"167":177,"168":178,"169":180,"171":182,"172":183,"173":184,"174":185,"175":186,"176":187,"177":188,"178":189,"179":190,"180":191,"181":192,"182":193,"183":194,"184":195,"185":196,"187":198,"188":199,"189":200,"191":202,"193":204,"194":205,"195":206,"196":207,"197":208,"198":209,"199":210,"200":211,"201":212,"202":213,"203":214,"205":216,"206":217,"207":218,"208":220,"209":221,"210":222,"211":223,"213":226,"214":227,"215":228,"216":229,"217":230,"218":231,"221":234,"222":235,"224":237,"225":238,"226":239,"227":240,"229":242,"230":243,"231":244,"232":246,"233":247,"234":248,"235":249,"236":250,"237":251,"238":252,"239":253,"240":254,"241":255,"242":256,"243":257,"244":258,"247":261,"248":262,"249":263,"250":264,"251":265,"252":267,"253":268,"254":269,"255":270,"256":271,"257":272,"258":273,"259":274,"260":275,"262":278,"263":279,"264":280,"265":281,"267":283,"268":284,"269":285,"270":286,"271":287,"272":288,"273":289,"274":290,"276":292,"277":293,"278":294,"279":295,"280":296,"281":297,"282":298,"283":299,"284":300,"285":301,"286":302,"287":303,"288":304,"289":306,"290":307,"291":308,"293":310,"294":311,"295":312,"296":313,"297":314,"298":315,"300":317,"301":320,"303":322,"304":323,"305":324,"307":326,"308":327,"310":329,"311":330,"312":331,"313":332,"314":333,"317":336,"320":339,"322":341,"326":345,"327":346,"328":347,"329":348,"330":349,"331":350,"332":352,"333":353,"334":354,"335":357,"336":358,"337":359,"339":361,"340":362,"341":363,"342":364,"343":365,"345":367,"347":369,"348":370,"349":371,"350":372,"351":373,"352":374,"353":375,"354":376,"355":377,"356":378,"358":380,"359":381,"361":383,"362":384,"364":386,"366":388,"367":389,"368":390,"369":391,"370":392,"371":393,"372":394,"373":395,"374":396,"375":397,"376":398,"377":399,"378":400,"379":401,"380":402,"381":403,"383":405,"385":407,"386":408,"387":409,"388":410,"389":411,"390":412,"391":414,"392":415,"394":417,"395":418,"396":419,"397":420,"398":421,"400":423,"401":424,"402":427,"403":428,"404":429,"405":430,"407":432,"408":433,"409":434,"411":436,"412":437,"413":438,"415":440,"416":442,"417":443,"418":444,"419":445,"420":446,"422":448,"423":449,"425":451,"426":452,"427":453,"428":454,"429":455,"430":456,"431":459,"432":460,"434":463,"437":468,"438":469,"439":470,"440":471,"441":472,"442":473,"443":474,"444":475,"445":476,"446":477,"447":478,"448":479,"449":480,"450":481,"451":482,"452":483,"453":484,"454":485,"455":486,"456":488,"457":489,"459":491,"460":492,"461":493,"462":494,"463":496,"464":497,"465":498,"466":499,"467":500,"468":501,"469":502,"470":503,"471":505,"473":508,"474":509,"475":510,"476":511,"477":520,"478":521,"479":523,"481":539,"483":554,"485":571,"486":573,"487":576,"488":583,"489":594,"492":609,"493":621,"494":622,"495":623,"496":630,"498":645,"500":650,"501":666,"502":668,"503":672,"504":673,"505":679,"506":681,"507":687,"508":690,"509":697,"510":701,"511":703,"512":707,"513":711,"514":717,"515":718,"517":726,"520":743,"521":747,"522":757,"523":759,"524":765,"525":766,"528":776,"529":781,"530":782,"531":785,"532":791,"533":803,"536":809,"537":821,"538":829,"539":831,"541":854,"542":857,"544":875,"546":884,"547":890,"548":914,"551":922,"552":923,"553":924,"554":926,"555":928,"556":943,"558":956,"559":957,"560":972,"561":974,"562":976,"563":978,"565":987,"566":989,"567":994,"568":1004,"569":1022},{"0":5,"2":46,"3":71,"4":77,"5":103,"9":179,"10":219,"11":225,"12":266,"15":318,"16":319,"17":351,"19":356,"20":413,"21":425,"22":426,"23":441,"24":457,"26":462,"27":466,"28":487,"30":504,"31":506,"32":517,"33":519,"34":525,"35":529,"36":530,"37":535,"38":537,"39":541,"40":545,"41":559,"43":566,"44":567,"45":568,"47":593,"48":598,"49":606,"50":607,"51":611,"52":615,"53":625,"54":626,"55":641,"56":646,"57":652,"59":655,"60":658,"62":667,"63":678,"64":682,"66":688,"67":689,"68":692,"69":705,"70":706,"71":708,"72":714,"73":715,"74":719,"75":730,"77":733,"78":734,"79":736,"80":744,"81":745,"82":756,"83":762,"84":763,"86":769,"87":778,"88":780,"89":783,"90":792,"91":798,"92":805,"93":807,"94":814,"95":818,"96":822,"97":833,"99":842,"101":858,"102":859,"103":865,"104":868,"105":869,"106":874,"107":877,"108":881,"109":882,"110":888,"111":895,"112":896,"113":897,"114":901,"115":903,"116":907,"117":908,"118":911,"119":913,"120":919,"122":933,"123":935,"124":945,"125":946,"126":952,"127":963,"128":966,"129":967,"130":969,"131":970,"132":990,"133":991,"134":997,"135":1006,"136":1008,"137":1013,"139":1018,"140":1021},{"2":464,"3":516,"4":543,"5":546,"6":570,"7":574,"8":575,"9":579,"10":582,"11":591,"12":612,"14":618,"15":628,"16":629,"17":637,"18":643,"19":660,"20":671,"22":675,"23":677,"24":685,"25":693,"26":696,"27":722,"28":728,"29":738,"30":752,"31":760,"32":775,"33":793,"34":800,"35":801,"36":802,"37":806,"38":811,"39":817,"40":827,"41":838,"42":843,"43":850,"44":852,"45":870,"46":876,"47":886,"48":893,"49":906,"50":912,"51":930,"52":937,"53":938,"54":942,"55":944,"56":961,"57":965,"58":975,"60":1001,"61":1005},{"0":522,"1":528,"2":532,"3":536,"4":544,"5":551,"6":552,"7":556,"8":558,"9":578,"10":588,"11":596,"12":599,"13":601,"14":613,"15":638,"16":669,"18":748,"19":754,"20":761,"21":767,"22":774,"23":777,"24":789,"25":813,"26":820,"27":824,"28":826,"29":830,"30":834,"31":835,"32":837,"33":844,"34":855,"35":862,"36":866,"37":871,"38":885,"39":898,"40":900,"41":905,"42":910,"43":920,"44":921,"45":931,"46":934,"47":953,"48":962,"49":982,"50":983,"51":985,"52":1000,"53":1002,"54":1016,"55":1017},{"0":550,"1":560,"2":563,"3":564,"4":584,"5":589,"6":627,"8":642,"9":644,"10":651,"11":654,"12":684,"13":691,"14":698,"15":702,"16":712,"17":713,"18":716,"19":749,"20":751,"21":755,"22":773,"23":786,"24":794,"25":796,"26":799,"28":819,"29":832,"30":845,"31":846,"32":851,"33":878,"34":879,"35":918,"36":940,"37":955,"38":979,"40":998,"41":999,"42":1009,"43":1015},[514,526,533,565,572,590,595,600,617,631,640,656,663,695,741,750,753,772,788,810,825,828,847,867,891,899,902,904,916,964,992,996,1010,1020,1023],{"0":534,"1":540,"2":581,"3":585,"4":586,"6":604,"7":605,"8":608,"9":616,"10":624,"11":676,"12":725,"13":732,"14":737,"15":790,"16":797,"17":823,"18":849,"19":947,"20":958,"21":971,"22":1019},{"0":515,"1":547,"2":549,"3":553,"4":587,"5":633,"6":661,"7":662,"8":694,"9":704,"10":727,"11":740,"12":742,"14":779,"15":784,"16":787,"17":795,"18":840,"19":841,"20":860,"21":863,"22":909,"23":932,"25":948,"26":959,"27":960,"28":973,"29":977,"30":986},{"0":538,"1":620,"2":636,"3":639,"4":649,"5":657,"6":709,"7":720,"8":758,"9":768,"10":816,"12":853,"13":880,"14":887,"15":889,"16":925,"17":939,"19":951},[518,569,580,592,634,670,680,683,710,815,929,980,981,1003,1007,1011],{"0":531,"1":548,"2":659,"3":699,"4":700,"5":724,"6":729,"7":872,"8":892,"9":894,"11":1012},{"0":513,"1":610,"2":861,"3":864,"5":968},{"0":557,"2":619},[],[]]