[{"0":0,"2":3,"3":4,"4":5,"5":6,"6":7,"8":11,"9":12,"10":13,"11":14,"12":16,"13":17,"14":19,"15":21,"16":22,"17":23,"18":24,"19":25,"20":27,"21":28,"22":29,"23":30,"24":31,"25":32,"26":34,"27":36,"28":37,"29":38,"30":39,"31":40,"32":41,"33":42,"34":43,"35":46,"36":47,"37":49,"38":50,"39":52,"40":53,"41":54,"42":57,"43":58,"44":59,"45":61,"46":65,"47":66,"48":67,"49":68,"50":69,"51":70,"52":71,"53":74,"55":78,"57":84,"58":85,"59":87,"60":88,"61":89,"63":92,"64":93,"65":94,"66":95,"67":96,"68":97,"69":98,"70":99,"71":101,"72":105,"73":106,"74":108,"75":110,"77":113,"78":114,"79":116,"80":117,"81":118,"82":119,"83":120,"84":122,"85":123,"86":124,"87":125,"88":126,"89":128,"90":131,"91":132,"92":133,"93":136,"94":138,"95":139,"96":140,"97":141,"98":143,"99":144,"100":145,"101":148,"102":150,"103":152,"104":155,"105":157,"106":158,"107":159,"108":160,"109":161,"110":167,"111":168,"112":169,"113":170,"114":171,"115":172,"116":173,"117":174,"118":175,"119":176,"120":177,"121":178,"122":179,"123":180,"124":181,"125":182,"126":183,"127":185,"128":187,"129":188,"130":189,"131":190,"132":191,"133":193,"134":195,"135":196,"136":197,"137":198,"138":199,"139":201,"140":202,"141":203,"142":204,"143":206,"144":207,"145":208,"146":209,"147":210,"148":211,"149":212,"150":213,"151":214,"152":215,"153":216,"154":217,"155":218,"156":219,"157":220,"158":221,"159":222,"160":223,"161":226,"162":227,"163":229,"164":230,"165":231,"166":234,"168":258,"169":259,"170":260,"171":261,"172":263,"173":264,"174":265,"176":268,"177":270,"178":271,"179":272,"180":275,"181":276,"182":277,"183":278,"184":279,"185":281,"186":283,"187":286,"189":289,"190":291,"191":292,"193":296,"194":299,"196":301,"197":304,"198":306,"199":307,"200":309,"201":312,"202":314,"203":315,"204":316,"205":318,"206":319,"207":320,"208":322,"209":324,"210":330,"211":331,"212":332,"213":333,"214":334,"215":335,"216":337,"217":339,"218":340,"219":341,"220":342,"221":344,"222":346,"223":347,"224":348,"225":349,"226":350,"227":351,"228":352,"229":353,"230":355,"231":356,"232":360,"233":361,"234":362,"236":365,"237":366,"238":367,"239":368,"240":371,"241":372,"242":374,"243":375,"244":379,"245":380,"246":382,"247":384,"248":386,"249":388,"250":396,"252":399,"253":401,"254":403,"255":406,"256":407,"257":408,"258":409,"259":411,"260":412,"261":415,"262":416,"263":418,"264":420,"265":421,"266":422,"267":423,"268":424,"269":425,"270":426,"271":428,"272":429,"273":430,"274":432,"275":433,"276":434,"277":435,"278":436,"279":438,"280":439,"281":441,"282":442,"283":444,"284":446,"285":448,"286":449,"287":450,"288":452,"289":454,"290":455,"291":457,"292":458,"293":459,"294":460,"295":464,"296":465,"297":466,"298":467,"299":468,"300":470,"301":472,"302":473,"303":474,"304":475,"305":476,"306":480,"307":481,"308":483,"309":486,"310":488,"311":489,"312":490,"313":513,"314":515,"315":516,"316":518,"317":519,"318":521,"319":527,"320":536,"321":538,"322":542,"323":544,"324":551,"325":553,"326":555,"327":556,"328":561,"329":562,"330":567,"331":568,"332":569,"333":570,"334":571,"335":574,"336":576,"337":577,"338":580,"339":583,"340":590,"341":592,"342":606,"343":611,"344":622,"345":626,"346":632,"347":633,"348":639,"349":643,"350":644,"351":647,"352":653,"353":655,"354":659,"355":660,"356":661,"357":664,"358":667,"359":668,"360":671,"361":676,"362":678,"363":683,"364":686,"365":688,"366":689,"367":691,"368":694,"369":695,"370":697,"371":702,"372":708,"373":709,"374":710,"375":711,"376":713,"377":714,"378":719,"379":723,"380":726,"381":729,"382":730,"383":733,"384":735,"385":736,"386":737,"387":739,"388":740,"389":743,"390":744,"391":746,"392":749,"393":750,"394":753,"395":754,"396":756,"397":757,"398":762,"399":764,"400":767,"401":768,"402":770,"403":772,"404":777,"405":781,"406":786,"407":787,"408":792,"409":793,"410":795,"411":800,"412":805,"413":806,"414":807,"415":809,"416":816,"417":818,"418":820,"419":821,"420":822,"421":823,"422":826,"423":827,"424":828,"425":829,"426":830,"427":834,"428":836,"429":840,"430":841,"431":845,"432":847,"433":850,"434":852,"435":854,"436":855,"437":858,"438":860,"439":863,"440":865,"441":867,"442":870,"443":874,"444":875,"445":876,"446":877,"447":883,"448":886,"449":889,"450":892,"451":895,"452":899,"453":900,"454":905,"455":911,"456":912,"457":917,"458":921,"459":922,"460":926,"461":927,"462":930,"463":931,"464":932,"465":935,"466":938,"467":939,"468":942,"469":948,"470":952,"471":954,"472":956,"473":957,"474":959,"475":964,"476":973,"477":974,"478":977,"479":984,"480":985,"481":986,"482":988,"483":990,"484":991,"485":993,"486":995,"487":1001,"488":1009,"489":1010,"490":1011,"491":1013,"492":1017,"493":1020},{"0":2,"1":9,"2":15,"3":18,"4":20,"5":26,"6":33,"7":35,"8":44,"9":45,"10":48,"11":51,"12":55,"13":56,"14":60,"15":62,"16":63,"17":64,"18":72,"19":73,"20":76,"21":79,"22":81,"23":86,"24":102,"25":104,"26":107,"27":109,"28":112,"29":115,"30":121,"31":127,"32":130,"33":134,"34":135,"35":137,"36":147,"37":149,"38":154,"39":156,"40":162,"41":163,"42":164,"43":166,"44":184,"45":186,"46":192,"47":194,"48":200,"49":205,"50":224,"51":225,"52":228,"53":232,"54":233,"55":235,"56":236,"57":237,"58":238,"59":239,"60":240,"61":241,"62":244,"63":246,"64":247,"65":248,"66":249,"67":250,"68":251,"69":252,"70":253,"71":254,"72":255,"73":256,"74":262,"75":266,"76":274,"77":280,"78":282,"79":284,"80":285,"81":287,"82":290,"83":293,"84":294,"85":297,"86":298,"87":303,"88":305,"89":308,"90":310,"91":311,"92":317,"93":321,"94":325,"95":326,"96":328,"97":329,"98":336,"99":338,"100":343,"101":345,"102":357,"103":358,"104":359,"105":364,"106":369,"107":370,"108":373,"109":376,"110":377,"111":378,"112":381,"113":383,"114":385,"115":389,"116":390,"117":391,"118":392,"119":394,"120":395,"121":398,"122":400,"123":402,"124":404,"125":405,"126":410,"127":417,"128":431,"129":437,"130":440,"131":447,"132":451,"133":453,"134":456,"135":469,"136":477,"137":479,"138":482,"139":484,"140":485,"141":487,"142":491,"143":493,"144":495,"145":497,"146":498,"147":499,"148":500,"149":501,"150":503,"151":504,"152":505,"153":506,"154":508,"155":509,"156":510,"157":511,"158":512,"159":520,"160":522,"161":523,"162":524,"163":528,"164":529,"166":539,"167":540,"168":541,"169":545,"170":546,"171":547,"172":549,"173":557,"174":558,"175":560,"176":563,"177":566,"178":572,"179":579,"180":581,"182":585,"183":588,"184":594,"185":602,"186":604,"187":605,"188":608,"189":610,"190":612,"191":615,"192":616,"193":617,"194":619,"195":621,"196":623,"197":624,"198":628,"199":629,"200":630,"201":631,"202":638,"203":641,"204":642,"205":645,"206":646,"207":648,"208":649,"209":650,"210":658,"211":663,"212":665,"213":669,"214":679,"215":680,"216":681,"217":684,"218":687,"219":690,"220":693,"221":696,"222":698,"223":699,"224":701,"225":703,"226":704,"227":715,"228":717,"229":722,"230":727,"231":728,"232":731,"233":734,"234":738,"235":741,"236":761,"237":769,"238":773,"239":775,"240":778,"241":779,"242":780,"243":785,"244":788,"245":790,"246":791,"247":794,"248":796,"249":798,"250":799,"251":801,"252":802,"253":803,"254":804,"255":808,"256":810,"257":811,"258":814,"259":815,"260":819,"261":825,"262":831,"263":833,"264":835,"265":837,"266":838,"267":839,"268":842,"269":846,"270":848,"271":851,"272":853,"273":856,"274":857,"275":861,"276":862,"277":864,"278":866,"279":869,"280":873,"281":878,"282":880,"283":882,"284":884,"285":888,"286":896,"287":897,"288":902,"289":903,"290":904,"291":906,"292":907,"293":908,"294":910,"295":913,"296":916,"297":919,"298":923,"299":924,"300":925,"301":928,"302":934,"303":937,"304":940,"305":941,"306":944,"307":946,"308":947,"309":951,"310":958,"311":960,"312":961,"313":962,"314":963,"315":965,"316":966,"317":967,"318":968,"319":975,"320":976,"321":978,"322":980,"323":987,"324":989,"325":992,"326":994,"327":996,"328":998,"329":1000,"330":1003,"331":1004,"332":1005,"333":1014,"334":1016,"335":1018,"336":1021,"337":1023},{"0":10,"1":75,"2":80,"3":82,"4":91,"5":103,"6":129,"7":142,"8":146,"9":153,"10":165,"11":242,"12":269,"13":273,"14":302,"15":313,"16":323,"17":354,"18":387,"19":393,"20":413,"21":414,"22":419,"23":427,"24":443,"25":445,"26":461,"27":462,"28":463,"29":471,"30":478,"31":492,"32":494,"33":496,"34":502,"35":507,"36":514,"37":525,"38":530,"39":533,"40":534,"41":535,"42":537,"43":543,"44":552,"45":554,"46":559,"47":565,"48":573,"49":575,"50":584,"51":587,"52":589,"53":591,"54":596,"55":597,"56":598,"57":600,"58":601,"59":607,"60":609,"61":613,"62":618,"63":635,"64":636,"65":637,"66":640,"67":651,"68":654,"69":662,"70":666,"73":677,"74":685,"75":692,"76":700,"77":705,"78":707,"79":712,"80":718,"81":721,"82":724,"83":725,"84":732,"85":745,"86":751,"88":760,"89":763,"90":765,"91":766,"92":771,"93":783,"95":812,"96":843,"97":844,"98":849,"99":859,"100":871,"101":872,"102":879,"103":881,"104":890,"105":894,"106":898,"107":901,"108":909,"109":915,"110":918,"111":933,"112":936,"113":945,"114":949,"115":950,"116":955,"117":969,"118":970,"119":971,"120":972,"121":979,"122":981,"124":999,"125":1002,"126":1007,"127":1008,"128":1012},{"0":100,"1":151,"2":243,"3":245,"4":327,"5":517,"6":526,"7":550,"8":564,"9":586,"10":593,"11":595,"13":603,"14":614,"15":627,"16":634,"17":652,"18":656,"20":673,"21":706,"22":716,"23":720,"24":747,"25":748,"26":755,"27":758,"28":774,"29":789,"30":832,"31":887,"32":891,"33":893,"34":914,"36":953,"38":997,"39":1022},{"0":548,"3":670,"4":674,"5":682,"6":776,"7":813,"8":817,"10":868,"11":885,"12":920,"13":1006},{"1":759,"2":784},[],[]]