[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"7":7,"8":8,"9":11,"10":12,"13":16,"14":17,"15":18,"16":20,"17":21,"18":22,"19":25,"20":27,"21":28,"22":29,"24":31,"25":32,"27":34,"28":35,"29":37,"30":39,"31":40,"32":41,"33":43,"34":44,"35":46,"36":49,"37":52,"38":53,"39":54,"40":55,"41":56,"42":57,"43":58,"44":60,"45":63,"46":64,"47":65,"48":68,"49":71,"50":74,"51":75,"52":76,"53":77,"54":78,"55":80,"56":81,"57":82,"58":83,"60":85,"61":86,"62":87,"63":88,"64":89,"65":90,"66":91,"67":92,"68":93,"69":94,"70":95,"71":96,"72":98,"73":99,"74":101,"75":102,"76":104,"77":105,"78":106,"80":110,"81":111,"82":112,"83":113,"84":115,"86":118,"87":119,"88":121,"89":122,"90":124,"91":125,"92":127,"93":128,"94":131,"96":133,"97":134,"98":136,"99":137,"100":138,"101":139,"102":140,"103":141,"104":143,"105":144,"106":146,"107":147,"108":148,"109":149,"110":150,"112":153,"113":155,"114":157,"115":161,"116":163,"117":164,"118":165,"119":168,"120":169,"121":170,"122":174,"123":175,"124":176,"125":178,"126":179,"128":181,"129":182,"130":183,"131":184,"132":185,"133":186,"134":187,"135":188,"136":189,"137":190,"138":191,"139":192,"140":193,"141":194,"142":195,"143":196,"144":197,"145":198,"146":201,"147":202,"148":203,"149":204,"150":209,"151":211,"152":213,"153":214,"154":215,"155":216,"156":217,"157":218,"158":219,"159":220,"160":221,"161":222,"162":223,"163":224,"164":225,"165":228,"166":257,"167":258,"168":259,"169":260,"170":262,"171":263,"172":264,"173":265,"174":266,"175":267,"177":269,"178":270,"181":273,"183":275,"184":276,"185":277,"186":278,"187":280,"188":281,"189":282,"190":283,"192":286,"193":289,"194":290,"195":291,"196":292,"197":293,"198":294,"199":295,"200":296,"202":298,"203":299,"204":300,"205":301,"206":302,"207":305,"208":307,"209":308,"210":310,"211":311,"212":315,"213":316,"214":317,"215":318,"216":319,"217":320,"218":323,"219":326,"220":327,"221":328,"222":329,"223":330,"224":331,"225":332,"226":333,"227":335,"230":338,"231":340,"233":342,"234":343,"235":344,"237":347,"238":348,"239":349,"240":350,"241":351,"243":353,"244":354,"245":355,"246":356,"247":357,"248":358,"249":359,"250":362,"251":363,"252":364,"253":365,"254":366,"255":367,"256":368,"257":369,"259":371,"260":375,"261":376,"262":377,"264":379,"265":380,"266":381,"267":382,"268":383,"269":385,"270":386,"271":387,"272":388,"273":389,"274":393,"275":394,"277":396,"278":397,"279":401,"280":402,"281":403,"282":405,"283":406,"284":407,"285":408,"286":409,"287":410,"288":411,"289":412,"290":413,"291":414,"292":415,"293":417,"294":418,"295":419,"296":420,"297":422,"298":423,"299":425,"300":427,"301":428,"302":429,"303":430,"304":431,"305":432,"306":433,"307":435,"308":436,"309":439,"310":440,"311":441,"312":442,"313":443,"314":445,"315":449,"316":450,"317":451,"318":452,"319":454,"320":457,"321":459,"322":460,"323":461,"324":462,"325":463,"326":464,"327":465,"328":467,"329":468,"330":469,"331":473,"332":474,"333":476,"334":477,"335":478,"336":480,"337":481,"338":482,"339":484,"340":512,"341":519,"342":524,"343":525,"344":528,"345":531,"346":533,"347":541,"348":543,"349":547,"350":551,"351":554,"352":558,"353":563,"354":564,"355":569,"356":570,"357":571,"358":572,"359":574,"360":575,"361":577,"362":583,"363":585,"364":592,"365":598,"366":599,"367":601,"368":608,"369":610,"370":613,"371":617,"372":619,"373":623,"374":627,"375":628,"376":637,"377":638,"378":639,"379":641,"380":644,"381":651,"382":653,"383":655,"384":667,"385":668,"386":669,"387":677,"388":678,"389":686,"390":688,"391":691,"392":692,"393":694,"394":698,"395":699,"396":702,"397":704,"398":706,"399":709,"400":710,"401":712,"402":713,"403":717,"404":718,"405":719,"406":722,"407":727,"408":728,"409":729,"410":733,"411":734,"412":737,"413":739,"414":745,"415":748,"416":753,"417":756,"418":757,"419":758,"420":760,"421":770,"422":777,"423":779,"424":781,"425":782,"426":786,"427":788,"428":790,"429":791,"430":797,"431":801,"432":804,"433":805,"434":807,"435":811,"436":816,"437":819,"438":826,"439":828,"440":835,"441":836,"442":839,"443":845,"444":849,"445":850,"446":852,"447":853,"448":854,"449":855,"450":858,"451":860,"452":864,"453":865,"454":866,"455":867,"456":869,"457":872,"458":873,"459":881,"460":885,"461":889,"462":891,"463":894,"464":899,"465":901,"466":903,"467":908,"468":914,"469":918,"470":923,"471":929,"472":931,"473":932,"474":934,"475":936,"476":941,"477":944,"478":945,"479":950,"480":951,"481":952,"482":953,"483":961,"484":965,"485":968,"486":972,"487":976,"488":977,"489":979,"490":983,"491":985,"492":987,"493":996,"494":1009,"495":1011,"496":1013,"497":1017},{"0":9,"1":10,"2":14,"3":19,"4":23,"5":24,"6":36,"7":42,"8":45,"9":47,"10":48,"11":50,"12":51,"13":59,"14":61,"15":62,"16":67,"17":69,"18":70,"19":72,"20":73,"21":97,"22":103,"23":107,"24":109,"25":114,"26":120,"27":123,"28":126,"29":129,"30":130,"31":142,"32":145,"33":152,"34":156,"35":158,"36":159,"37":162,"38":167,"39":173,"40":200,"41":205,"42":206,"43":207,"44":208,"45":210,"46":226,"47":229,"48":230,"49":231,"50":232,"51":233,"52":235,"53":237,"54":238,"55":239,"56":240,"57":242,"58":244,"59":246,"60":247,"61":248,"62":250,"63":252,"64":253,"65":254,"66":255,"67":256,"68":261,"69":279,"70":284,"71":287,"72":288,"73":303,"74":304,"75":306,"76":309,"77":314,"78":321,"79":324,"80":325,"81":334,"82":339,"83":346,"84":360,"85":361,"86":373,"87":374,"88":384,"89":390,"90":391,"91":392,"92":398,"93":399,"94":400,"95":416,"96":421,"97":424,"98":426,"99":434,"100":437,"101":444,"102":446,"103":447,"104":448,"105":453,"106":455,"107":458,"108":466,"109":470,"110":471,"111":483,"113":486,"114":487,"115":489,"116":490,"117":492,"118":494,"119":495,"120":498,"121":500,"122":504,"123":505,"124":506,"125":508,"126":513,"127":516,"128":517,"129":526,"130":530,"132":537,"133":544,"134":546,"135":549,"136":550,"137":552,"138":556,"139":565,"140":566,"141":568,"142":573,"143":576,"144":580,"145":581,"146":582,"147":587,"148":593,"149":595,"150":597,"151":600,"152":602,"153":603,"154":604,"155":605,"156":606,"157":607,"158":609,"159":612,"160":614,"161":618,"162":620,"163":621,"164":629,"165":631,"166":632,"167":634,"168":635,"169":636,"170":643,"171":647,"172":652,"173":654,"174":657,"175":659,"176":661,"177":664,"178":665,"179":671,"180":672,"181":673,"182":675,"183":676,"184":679,"185":680,"186":685,"187":687,"188":700,"189":701,"190":705,"191":707,"192":708,"193":714,"194":715,"195":721,"196":723,"197":725,"198":732,"199":735,"200":740,"201":746,"202":752,"203":755,"204":759,"205":762,"206":766,"207":767,"208":768,"209":771,"210":773,"211":780,"212":783,"213":794,"214":795,"215":800,"216":806,"217":808,"218":809,"219":810,"220":812,"221":817,"222":818,"223":820,"224":821,"225":824,"226":827,"227":830,"228":837,"229":841,"230":842,"231":844,"232":846,"233":851,"234":856,"235":857,"236":862,"237":863,"238":868,"239":874,"240":875,"241":877,"242":878,"243":882,"244":884,"245":887,"246":892,"247":893,"248":896,"249":897,"250":900,"251":902,"252":904,"253":907,"254":909,"255":912,"256":915,"257":916,"258":917,"259":919,"260":920,"261":921,"262":922,"263":927,"264":930,"265":935,"266":938,"267":939,"268":942,"269":943,"270":947,"271":955,"272":960,"273":966,"274":967,"275":969,"276":971,"277":975,"278":980,"279":981,"280":989,"281":990,"282":991,"283":993,"284":994,"285":1001,"286":1002,"287":1006,"288":1010,"289":1015,"290":1021,"291":1023},{"0":26,"1":38,"2":66,"3":79,"4":100,"5":117,"6":135,"7":154,"8":160,"9":166,"10":172,"11":177,"12":199,"13":212,"14":227,"15":234,"16":236,"17":243,"18":245,"19":249,"20":251,"21":312,"22":313,"23":322,"24":372,"25":404,"26":438,"27":456,"28":472,"29":475,"30":488,"31":496,"32":497,"33":499,"34":501,"35":502,"36":503,"37":507,"38":510,"39":511,"40":514,"41":518,"42":520,"43":522,"44":536,"45":545,"46":548,"47":553,"48":559,"50":578,"51":579,"52":584,"53":586,"54":591,"55":611,"56":615,"57":616,"58":624,"59":630,"60":645,"61":648,"62":650,"63":658,"64":660,"65":662,"66":674,"67":682,"68":689,"69":695,"70":696,"71":711,"72":726,"73":730,"74":731,"75":747,"76":750,"77":761,"78":772,"79":774,"80":778,"81":785,"82":792,"83":798,"84":799,"85":829,"86":834,"87":840,"88":861,"89":883,"90":886,"91":898,"92":905,"93":910,"94":924,"95":940,"96":956,"97":958,"98":959,"99":970,"100":973,"101":974,"102":978,"103":986,"105":1005,"106":1012,"107":1014,"108":1018,"109":1019},[171,241,479,491,509,521,529,532,539,542,555,557,590,596,656,666,681,716,736,738,741,742,743,744,751,787,796,803,822,832,848,870,876,895,913,925,949,957,964,992,997,1003,1004,1007,1020,1022],[493,523,562,567,589,622,670,683,684,690,697,724,765,775,776,789,813,814,815,831,838,871,879,890,906,937,963,982,984,995,998],[515,527,534,560,588,594,633,640,642,703,764,784,793,926,928,962,988,1008],{"0":720,"2":802,"3":825,"4":843,"5":859,"6":880,"7":888,"8":946,"9":948},[538,540,625,626,663,693,833,847,911],[749,754,763,823,933,954,1016],[646,649,1000]]