[{"0":0,"2":3,"3":4,"4":5,"6":7,"7":8,"8":10,"11":13,"12":14,"15":18,"16":19,"17":20,"18":21,"19":22,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"30":34,"32":36,"33":37,"37":41,"38":43,"39":44,"40":45,"41":46,"42":48,"43":50,"44":51,"45":52,"47":55,"48":56,"50":58,"51":60,"54":63,"57":66,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"66":75,"68":77,"70":79,"71":80,"74":83,"75":84,"76":86,"77":87,"78":88,"79":89,"80":90,"81":94,"84":99,"85":100,"88":105,"90":107,"91":108,"92":109,"94":111,"96":113,"97":114,"101":119,"102":120,"103":122,"104":124,"105":125,"107":127,"108":128,"112":133,"113":134,"115":136,"116":137,"118":140,"119":141,"122":144,"124":146,"125":147,"130":152,"133":155,"134":156,"135":157,"136":158,"137":159,"138":160,"140":162,"141":163,"142":164,"144":166,"145":167,"146":168,"148":171,"150":173,"153":177,"154":178,"155":179,"156":180,"157":182,"158":183,"161":186,"162":187,"164":189,"165":190,"166":191,"167":192,"168":193,"169":195,"170":196,"172":198,"173":199,"174":201,"175":202,"177":204,"178":205,"182":210,"184":213,"186":215,"187":216,"188":218,"189":219,"190":220,"191":221,"192":222,"194":224,"195":225,"196":226,"197":227,"198":228,"199":229,"200":231,"202":233,"203":235,"204":236,"205":237,"206":239,"207":240,"208":241,"210":243,"211":244,"212":245,"213":246,"214":247,"215":249,"216":250,"217":251,"218":252,"222":256,"223":257,"224":258,"227":261,"228":262,"229":263,"230":264,"231":265,"233":267,"235":269,"236":270,"237":271,"238":272,"241":275,"243":278,"244":279,"245":280,"246":281,"247":282,"248":284,"249":285,"250":287,"253":290,"256":293,"257":294,"260":298,"261":299,"262":300,"263":301,"264":302,"265":303,"266":304,"267":305,"268":306,"269":307,"272":312,"274":314,"275":315,"277":318,"279":320,"282":324,"283":325,"284":326,"287":329,"288":330,"289":331,"290":332,"291":334,"292":336,"294":339,"295":340,"296":341,"297":342,"298":343,"303":348,"304":349,"307":354,"308":355,"309":356,"310":357,"311":358,"312":359,"313":360,"314":361,"315":362,"317":364,"318":365,"319":366,"320":367,"321":368,"322":369,"323":370,"324":371,"326":374,"327":375,"330":378,"331":379,"332":380,"333":381,"335":383,"336":384,"338":386,"340":389,"343":392,"344":393,"345":394,"347":398,"348":399,"350":401,"351":402,"353":404,"355":406,"356":407,"357":408,"358":409,"359":410,"361":412,"362":413,"364":415,"365":416,"367":418,"371":422,"372":423,"373":424,"375":426,"377":428,"378":430,"381":433,"382":434,"383":435,"386":438,"387":439,"389":441,"390":442,"391":443,"392":444,"393":445,"394":446,"395":447,"396":448,"397":449,"398":450,"399":451,"400":452,"401":453,"403":455,"404":456,"406":458,"407":459,"408":460,"409":461,"410":462,"411":464,"412":465,"413":466,"414":467,"417":470,"418":471,"420":473,"421":474,"423":476,"425":478,"426":479,"427":480,"429":482,"430":483,"431":484,"432":485,"433":486,"434":487,"437":490,"438":491,"439":492,"440":493,"441":494,"442":495,"443":496,"444":498,"446":500,"447":501,"450":504,"452":506,"453":507,"454":508,"455":509,"456":511,"457":512,"458":513,"459":532,"460":537,"461":539,"462":540,"463":542,"464":546,"465":554,"466":557,"467":561,"468":562,"470":577,"472":585,"474":592,"478":615,"479":618,"480":625,"481":637,"482":642,"483":654,"484":659,"485":662,"486":670,"487":674,"488":683,"489":702,"490":718,"492":748,"493":751,"497":779,"499":802,"500":803,"502":816,"503":818,"504":819,"505":823,"506":866,"507":876,"508":881,"510":898,"511":907,"512":909,"513":910,"515":931,"516":934,"517":939,"519":947,"520":962,"521":976,"522":996,"523":998,"524":1004,"525":1009,"527":1013},{"0":9,"1":16,"2":32,"3":42,"4":47,"5":49,"6":54,"9":91,"10":92,"12":96,"13":98,"14":101,"15":102,"17":121,"18":123,"19":132,"20":138,"22":176,"23":181,"24":194,"25":200,"26":209,"27":217,"28":230,"29":234,"30":238,"31":248,"32":276,"34":286,"36":308,"37":317,"38":333,"39":335,"40":337,"41":350,"42":351,"43":373,"44":387,"46":397,"47":429,"48":463,"50":510,"51":515,"52":518,"53":519,"54":520,"55":524,"56":530,"57":534,"58":538,"59":549,"60":552,"61":553,"63":565,"64":567,"65":570,"66":575,"67":581,"68":587,"69":591,"70":598,"71":601,"73":614,"74":619,"75":620,"76":623,"77":624,"78":629,"79":631,"80":639,"81":647,"82":651,"83":669,"84":678,"85":688,"86":692,"87":693,"88":700,"89":701,"90":707,"91":709,"92":710,"94":716,"95":723,"96":727,"97":728,"98":729,"99":731,"100":733,"101":736,"102":737,"103":741,"104":745,"105":749,"106":750,"107":752,"108":756,"109":758,"110":765,"111":767,"113":777,"114":786,"115":787,"117":792,"118":793,"120":801,"121":806,"122":807,"124":812,"125":814,"127":821,"128":826,"129":827,"130":828,"131":830,"132":842,"133":843,"134":844,"135":845,"136":848,"137":850,"139":853,"140":854,"141":860,"142":863,"143":864,"144":874,"145":886,"146":889,"148":899,"149":916,"150":921,"151":923,"152":929,"154":941,"155":942,"156":948,"157":954,"158":957,"159":970,"161":990,"162":997,"163":1001,"164":1003,"165":1016,"166":1017,"167":1022},{"0":1,"1":212,"2":309,"3":322,"4":523,"6":528,"7":543,"8":544,"9":551,"10":555,"11":563,"12":564,"13":573,"14":576,"15":599,"18":636,"20":643,"21":649,"22":650,"23":656,"24":668,"25":675,"26":677,"27":684,"28":687,"29":690,"30":696,"32":698,"33":699,"34":703,"36":734,"37":735,"38":738,"39":740,"40":743,"41":753,"42":768,"43":770,"44":772,"45":784,"46":789,"47":795,"49":810,"51":829,"52":831,"53":834,"54":856,"55":859,"56":865,"57":867,"58":877,"59":880,"60":882,"61":883,"62":888,"63":893,"64":894,"65":903,"66":918,"67":920,"69":936,"71":944,"72":971,"73":980,"74":993,"75":1007,"76":1008,"77":1010},{"1":529,"2":547,"3":571,"4":580,"5":582,"6":584,"7":588,"8":600,"9":617,"10":621,"11":640,"12":641,"13":664,"14":665,"15":679,"16":686,"17":694,"18":742,"20":760,"22":790,"23":804,"24":839,"25":852,"26":870,"27":872,"30":896,"32":933,"34":952,"35":955,"36":959,"38":982,"39":987,"40":994},{"2":550,"3":566,"4":572,"5":597,"7":653,"8":671,"10":706,"11":744,"12":755,"13":762,"14":769,"15":778,"16":781,"17":783,"19":836,"21":873,"24":912,"25":930,"26":937,"27":951,"28":995,"29":1015,"30":1018},{"0":525,"1":527,"3":603,"4":606,"6":655,"7":717,"8":719,"9":739,"10":757,"11":800,"12":808,"13":833,"14":869,"15":871,"16":900,"17":908,"18":953,"19":961,"20":963,"21":967,"23":1006,"24":1014},{"0":521,"1":522,"2":559,"3":589,"4":604,"5":626,"7":633,"8":646,"9":658,"10":661,"11":680,"12":689,"13":732,"15":747,"16":761,"17":796,"18":847,"19":858,"20":861,"21":901,"22":925,"23":932,"24":946,"25":956,"26":964,"30":1000},{"0":545,"1":594,"2":595,"3":608,"4":609,"5":610,"6":645,"7":652,"8":660,"9":673,"10":682,"11":712,"12":714,"13":721,"15":766,"17":840,"18":841,"19":875,"20":891,"21":904,"22":915,"24":965,"25":968,"26":991},{"1":568,"2":612,"4":663,"5":666,"6":676,"7":681,"8":730,"9":780,"10":825,"11":835,"12":838,"14":855,"16":887,"17":905,"18":960,"19":966,"20":972,"21":973,"22":988},{"0":514,"1":560,"3":657,"5":713,"6":771,"7":782,"8":824,"9":902,"10":949,"11":958,"14":1005,"15":1021},{"0":533,"1":569,"4":726,"5":837,"6":885,"7":917,"8":969,"10":983,"12":1019},{"4":722,"5":791,"6":813,"8":857},{"1":607,"2":634,"3":648,"7":978,"8":985},{"0":590,"1":785,"2":820,"4":911,"6":926,"8":1012},{"2":695,"5":878,"6":989},[],[],[],[]]