[{"0":0,"2":2,"3":3,"4":4,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":14,"13":16,"14":17,"15":18,"16":19,"18":21,"19":22,"20":23,"21":24,"22":25,"24":27,"25":28,"26":29,"27":30,"28":31,"29":33,"30":34,"31":35,"34":39,"35":40,"36":41,"37":43,"38":44,"39":46,"41":48,"42":50,"43":51,"44":52,"45":53,"46":54,"48":56,"49":57,"51":59,"52":60,"55":63,"56":66,"57":67,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":80,"69":82,"70":85,"71":86,"72":87,"73":90,"74":91,"75":92,"76":93,"77":95,"78":96,"79":99,"81":101,"82":102,"83":103,"84":104,"85":105,"86":106,"87":107,"88":108,"89":112,"90":113,"93":116,"95":118,"96":119,"97":120,"98":121,"99":122,"100":125,"101":126,"102":127,"103":128,"104":129,"105":130,"106":131,"107":132,"111":137,"112":138,"113":139,"115":141,"116":142,"117":143,"118":144,"119":145,"120":146,"121":147,"122":149,"123":150,"125":152,"126":153,"129":158,"130":159,"131":160,"132":161,"133":162,"134":163,"135":164,"136":165,"137":166,"138":167,"139":168,"140":169,"141":172,"142":173,"143":174,"144":176,"145":177,"146":179,"147":180,"148":181,"149":182,"150":183,"151":184,"152":185,"153":186,"154":188,"155":191,"156":192,"157":196,"158":197,"159":198,"160":199,"161":200,"162":202,"163":203,"164":204,"165":205,"166":206,"167":207,"168":208,"169":210,"171":212,"172":213,"173":214,"174":216,"175":217,"176":218,"177":219,"178":220,"179":221,"180":222,"181":223,"182":224,"183":225,"184":226,"185":227,"186":230,"187":231,"188":232,"189":233,"190":234,"191":235,"192":236,"193":237,"194":238,"195":243,"196":244,"197":256,"198":257,"199":258,"200":259,"201":260,"202":261,"203":262,"204":263,"206":266,"208":271,"209":272,"210":273,"212":277,"213":278,"214":279,"216":284,"217":285,"218":286,"219":287,"220":288,"221":289,"222":290,"223":291,"224":292,"225":293,"226":294,"227":295,"228":296,"229":297,"230":300,"231":301,"232":303,"233":304,"234":305,"235":306,"236":308,"238":310,"241":313,"242":314,"243":315,"245":318,"246":319,"247":320,"248":322,"249":323,"250":324,"251":325,"252":326,"253":328,"254":329,"255":332,"256":334,"257":335,"258":337,"259":338,"260":339,"261":340,"262":341,"263":342,"264":345,"265":346,"266":347,"267":348,"268":350,"269":352,"270":353,"271":354,"272":356,"273":357,"274":358,"275":360,"276":362,"277":363,"278":364,"279":365,"280":367,"281":368,"282":369,"283":370,"284":371,"286":373,"289":376,"290":377,"292":379,"293":380,"294":382,"295":383,"296":384,"297":385,"298":386,"299":387,"300":388,"301":389,"302":390,"303":391,"304":392,"305":393,"306":394,"307":395,"308":397,"309":398,"310":401,"311":402,"312":403,"314":406,"315":407,"317":409,"319":412,"321":414,"322":415,"323":416,"324":417,"325":418,"326":420,"328":424,"329":425,"330":426,"331":427,"332":429,"333":430,"334":432,"335":433,"336":434,"337":435,"338":436,"339":437,"340":438,"341":439,"342":440,"343":441,"344":442,"345":443,"346":446,"347":447,"349":449,"350":450,"351":451,"352":452,"353":454,"354":456,"355":457,"356":459,"357":460,"358":461,"359":462,"360":464,"361":466,"362":467,"363":469,"364":471,"365":472,"366":473,"367":475,"368":477,"369":478,"370":479,"371":480,"372":482,"373":483,"374":484,"375":485,"376":486,"377":488,"378":491,"379":492,"380":493,"381":494,"382":496,"383":497,"384":498,"385":499,"386":500,"387":514,"388":518,"389":524,"390":526,"391":529,"392":533,"393":534,"394":535,"395":536,"396":540,"397":543,"398":556,"399":559,"400":565,"401":569,"402":570,"403":571,"404":573,"405":576,"406":580,"407":581,"408":584,"409":586,"410":589,"411":590,"412":601,"413":604,"414":606,"415":607,"416":615,"417":620,"418":624,"419":628,"420":631,"421":638,"422":646,"423":653,"424":657,"425":667,"426":673,"427":679,"428":681,"429":684,"430":688,"431":689,"432":690,"433":692,"434":693,"435":698,"436":701,"437":702,"438":703,"439":706,"440":708,"441":712,"442":714,"444":728,"445":729,"446":733,"447":737,"448":738,"449":741,"450":745,"451":747,"452":761,"453":763,"454":767,"455":770,"457":776,"458":779,"459":781,"460":782,"461":785,"462":790,"463":796,"464":801,"465":809,"466":810,"467":816,"468":820,"469":821,"470":828,"471":830,"472":831,"473":833,"474":834,"475":836,"476":837,"477":838,"478":841,"479":842,"480":847,"481":850,"482":851,"483":854,"484":860,"485":867,"486":870,"487":878,"488":879,"489":880,"490":889,"491":897,"492":911,"493":913,"494":919,"495":922,"496":923,"497":929,"498":930,"499":932,"500":942,"501":949,"502":951,"503":952,"504":958,"505":961,"506":963,"507":966,"508":968,"509":969,"510":978,"511":982,"512":983,"513":984,"514":986,"515":987,"516":995,"517":1005,"518":1006,"519":1016,"520":1017},{"0":5,"1":12,"2":13,"3":32,"4":37,"5":42,"6":45,"7":49,"8":64,"9":65,"10":68,"11":81,"12":83,"13":84,"14":88,"15":89,"16":94,"17":97,"18":98,"19":111,"20":124,"21":134,"23":154,"24":155,"25":171,"26":175,"27":178,"28":187,"29":189,"30":190,"31":193,"32":194,"33":195,"34":201,"35":209,"36":215,"37":228,"38":229,"39":239,"40":240,"41":241,"42":242,"43":245,"44":246,"45":250,"46":251,"47":252,"48":254,"49":265,"50":268,"51":270,"52":275,"53":276,"54":280,"55":282,"56":283,"57":298,"58":302,"59":307,"60":317,"61":321,"62":327,"63":330,"64":331,"65":333,"66":343,"67":344,"68":349,"69":351,"70":355,"71":359,"72":361,"73":381,"74":396,"75":399,"76":400,"77":404,"78":411,"79":419,"80":421,"81":422,"82":428,"83":431,"84":444,"85":445,"86":453,"87":455,"88":458,"89":463,"90":465,"91":468,"92":470,"93":474,"94":476,"95":481,"96":487,"97":490,"98":495,"99":502,"100":503,"101":504,"102":505,"103":506,"104":507,"105":508,"106":509,"107":510,"108":522,"109":523,"110":525,"111":537,"112":539,"113":547,"114":552,"115":554,"116":563,"117":568,"118":572,"119":583,"120":587,"121":591,"122":593,"123":594,"124":595,"125":598,"126":610,"127":611,"128":612,"129":613,"130":614,"131":617,"132":618,"133":622,"134":629,"135":635,"136":637,"137":644,"138":654,"139":659,"140":663,"141":665,"142":682,"143":686,"144":694,"145":709,"146":710,"147":713,"148":716,"149":718,"151":723,"152":724,"153":731,"154":732,"155":735,"156":736,"157":739,"158":742,"159":743,"160":744,"161":748,"162":751,"163":752,"164":753,"165":754,"166":755,"167":756,"168":762,"169":764,"170":765,"171":768,"172":769,"173":772,"174":773,"175":774,"176":775,"177":777,"178":780,"179":783,"180":786,"181":792,"182":797,"183":800,"184":805,"185":806,"186":807,"187":808,"188":819,"189":823,"190":824,"191":827,"192":832,"193":835,"194":839,"195":843,"196":846,"197":848,"198":852,"199":853,"200":861,"201":863,"202":868,"203":871,"204":872,"205":874,"206":877,"207":881,"208":885,"209":892,"210":893,"211":894,"212":896,"213":899,"214":900,"215":901,"216":915,"217":918,"218":928,"219":935,"220":944,"221":946,"222":950,"223":956,"224":959,"225":962,"226":973,"227":975,"229":985,"230":994,"231":996,"232":997,"233":1000,"234":1001,"235":1003,"236":1007,"238":1009,"239":1011,"240":1012,"241":1019,"242":1021,"243":1022},{"0":79,"1":109,"2":110,"3":123,"4":170,"5":247,"6":248,"7":249,"8":253,"9":255,"10":269,"11":299,"12":336,"13":366,"14":489,"15":501,"16":511,"17":513,"18":515,"19":517,"20":542,"21":549,"22":551,"23":553,"24":566,"25":567,"26":574,"28":577,"29":578,"30":582,"31":588,"32":592,"33":597,"34":599,"35":602,"36":608,"37":625,"38":636,"39":639,"40":640,"41":647,"43":655,"45":669,"46":672,"47":674,"48":677,"49":678,"50":683,"51":685,"52":687,"53":695,"54":696,"55":699,"56":700,"57":715,"58":726,"59":730,"60":749,"61":757,"62":778,"63":784,"64":793,"65":794,"66":802,"67":812,"68":814,"69":815,"70":817,"71":822,"72":825,"73":855,"74":857,"75":858,"76":859,"77":864,"78":869,"79":876,"80":887,"81":891,"82":895,"83":904,"84":907,"85":914,"86":916,"87":920,"88":924,"89":931,"90":934,"91":939,"92":941,"93":945,"94":947,"95":953,"96":957,"97":964,"98":965,"99":970,"100":971,"101":972,"102":979,"103":980,"104":981,"105":988,"106":1004,"107":1015,"109":1023},{"0":512,"1":519,"2":520,"3":530,"5":538,"6":544,"7":548,"8":550,"9":558,"10":562,"11":605,"12":621,"13":626,"14":627,"15":632,"16":643,"17":651,"18":652,"20":662,"21":666,"22":676,"23":680,"25":705,"26":740,"27":759,"28":766,"29":787,"30":788,"31":791,"32":795,"33":811,"34":826,"35":844,"36":845,"37":862,"38":866,"39":875,"40":902,"41":903,"42":906,"43":908,"44":910,"45":926,"46":933,"47":948,"48":960,"49":974,"50":989,"51":990,"52":992,"53":993,"54":1010,"55":1018},{"0":546,"1":585,"2":596,"3":600,"4":650,"5":668,"6":671,"7":675,"8":704,"9":717,"10":722,"11":734,"13":799,"14":818,"15":840,"16":849,"17":856,"18":865,"19":882,"20":883,"21":886,"22":938,"23":940,"24":943,"25":967,"26":977,"27":1002},{"0":527,"1":528,"2":532,"3":541,"4":545,"5":557,"6":579,"7":623,"8":633,"11":707,"12":721,"13":750,"14":884,"16":927,"19":1014},{"0":555,"2":619,"3":661,"4":711,"5":746,"6":829,"7":873,"8":888,"9":890,"10":917},{"1":560,"2":564,"4":656,"6":760,"7":804},{"1":645,"3":999},{"3":630},[],[]]