[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"6":7,"8":11,"11":15,"13":17,"14":19,"15":20,"16":21,"19":24,"20":25,"21":27,"24":30,"25":31,"27":33,"30":38,"31":39,"33":41,"35":43,"36":44,"37":45,"38":46,"43":51,"44":52,"47":56,"49":58,"50":59,"52":61,"53":62,"54":63,"56":65,"57":66,"58":67,"59":68,"60":69,"62":71,"63":72,"64":73,"65":74,"67":76,"69":78,"71":80,"72":81,"73":82,"76":87,"80":93,"81":95,"82":96,"83":97,"84":98,"85":99,"86":100,"88":103,"89":104,"90":105,"91":106,"92":107,"93":108,"94":109,"96":111,"97":112,"98":113,"99":114,"101":117,"102":119,"103":120,"104":121,"106":123,"107":125,"108":126,"109":128,"110":130,"111":131,"114":134,"117":137,"118":138,"121":141,"122":142,"123":143,"124":144,"125":145,"131":152,"132":153,"133":154,"134":156,"135":157,"137":159,"138":160,"139":161,"142":164,"145":168,"146":169,"149":173,"150":174,"153":178,"154":179,"155":180,"156":181,"159":186,"162":190,"163":191,"165":193,"166":194,"167":195,"168":197,"169":198,"172":202,"173":203,"174":204,"175":205,"176":206,"177":208,"178":209,"179":210,"180":211,"181":212,"182":213,"183":214,"184":216,"185":217,"186":218,"187":219,"188":220,"190":222,"191":223,"192":224,"194":226,"195":227,"196":229,"197":230,"198":231,"199":232,"200":233,"201":234,"203":237,"205":239,"206":240,"207":241,"208":242,"209":243,"210":245,"211":246,"212":248,"213":249,"214":250,"215":252,"216":254,"217":255,"218":257,"219":258,"222":262,"223":263,"225":265,"227":268,"228":270,"230":272,"231":273,"232":275,"234":278,"235":279,"236":281,"237":282,"238":283,"241":286,"243":289,"244":290,"245":291,"246":292,"247":293,"248":294,"249":295,"250":296,"251":297,"252":298,"253":300,"254":301,"255":302,"256":303,"258":306,"259":308,"260":309,"261":310,"263":312,"265":315,"267":317,"268":318,"271":321,"272":322,"273":323,"276":329,"277":332,"278":334,"279":335,"280":336,"282":338,"283":339,"284":340,"285":341,"287":343,"288":344,"289":345,"290":346,"291":348,"292":349,"294":351,"295":352,"296":353,"297":354,"298":356,"299":357,"300":358,"301":359,"302":360,"303":361,"304":362,"305":363,"306":364,"308":366,"311":370,"313":372,"314":373,"317":377,"319":380,"320":381,"323":386,"324":387,"327":390,"328":391,"329":392,"331":394,"334":397,"335":398,"336":399,"337":401,"339":403,"340":404,"341":405,"342":406,"343":407,"346":410,"347":411,"348":412,"350":414,"354":419,"355":421,"358":424,"360":427,"363":430,"364":431,"365":432,"368":436,"371":439,"372":440,"373":441,"375":444,"376":445,"377":446,"378":447,"379":448,"381":450,"382":451,"384":453,"385":454,"386":455,"387":456,"388":458,"389":459,"390":460,"392":462,"394":464,"397":468,"398":469,"399":470,"400":471,"401":474,"402":477,"403":478,"404":479,"405":485,"407":487,"409":489,"410":490,"411":492,"412":493,"413":494,"414":495,"415":496,"417":498,"418":499,"422":503,"424":505,"425":506,"426":509,"427":510,"428":511,"429":515,"430":521,"431":523,"432":530,"433":540,"434":544,"435":545,"436":548,"437":555,"438":556,"439":559,"441":571,"442":574,"443":576,"444":582,"445":584,"447":593,"448":597,"449":606,"450":611,"451":612,"453":619,"454":621,"455":623,"456":624,"457":625,"458":627,"459":630,"461":635,"462":642,"463":655,"464":664,"465":667,"466":672,"469":681,"471":687,"472":691,"473":695,"474":697,"475":700,"476":707,"477":708,"478":710,"479":713,"480":718,"481":719,"482":720,"483":726,"484":735,"485":743,"486":744,"487":747,"488":752,"489":754,"490":756,"491":757,"492":761,"494":765,"495":767,"496":770,"497":771,"498":776,"499":781,"500":788,"501":790,"502":791,"503":792,"504":795,"505":796,"506":798,"507":803,"508":804,"510":810,"512":816,"513":818,"514":820,"516":823,"517":830,"518":836,"519":837,"521":841,"522":845,"523":849,"524":854,"525":857,"528":860,"529":866,"530":871,"531":876,"532":882,"533":883,"534":887,"535":890,"536":897,"537":898,"539":914,"540":918,"542":920,"543":927,"544":939,"545":940,"546":942,"547":948,"548":953,"551":960,"552":965,"554":972,"555":978,"556":981,"557":988,"558":989,"559":997,"560":1006,"561":1008,"563":1015,"564":1017,"565":1018,"566":1019,"567":1020,"568":1022},{"0":5,"1":9,"2":10,"3":12,"4":18,"6":35,"7":36,"8":53,"9":83,"10":86,"11":89,"12":91,"13":94,"14":101,"15":116,"16":118,"17":124,"18":129,"19":146,"20":155,"21":167,"22":171,"23":176,"24":183,"25":187,"26":196,"27":201,"29":228,"30":236,"31":244,"33":251,"34":253,"35":256,"36":260,"37":267,"38":269,"39":274,"40":277,"41":280,"42":287,"43":299,"45":307,"46":326,"47":327,"48":328,"49":330,"51":333,"52":347,"54":369,"55":374,"56":378,"57":382,"58":384,"59":400,"60":417,"61":420,"62":426,"63":433,"64":443,"65":472,"66":475,"67":476,"68":480,"69":481,"70":482,"72":491,"73":507,"74":508,"76":541,"77":549,"78":550,"79":552,"84":561,"85":562,"87":567,"88":568,"89":570,"91":587,"92":591,"93":592,"95":600,"96":601,"97":609,"98":610,"99":615,"100":620,"101":631,"102":644,"103":645,"105":651,"106":652,"107":656,"108":657,"109":658,"110":665,"111":668,"112":674,"113":677,"114":686,"115":688,"116":689,"117":693,"118":698,"119":702,"120":703,"121":722,"123":727,"124":732,"125":733,"126":734,"127":738,"128":740,"129":741,"131":755,"132":760,"133":769,"134":772,"135":773,"136":774,"137":775,"138":777,"139":780,"140":783,"141":784,"144":801,"145":807,"147":812,"148":817,"149":821,"150":827,"151":828,"153":843,"155":850,"156":861,"157":863,"159":865,"163":879,"165":889,"166":891,"167":894,"168":895,"169":900,"170":901,"171":902,"173":904,"174":905,"175":913,"176":915,"177":924,"178":930,"179":933,"180":937,"181":943,"182":945,"183":951,"184":954,"185":955,"186":958,"188":963,"189":973,"190":975,"191":980,"192":984,"193":987,"194":998,"195":1003,"196":1004,"198":1011},{"0":127,"1":182,"2":215,"4":457,"5":465,"6":473,"7":484,"9":524,"10":525,"12":537,"13":543,"14":551,"15":572,"16":573,"18":578,"19":581,"20":586,"22":589,"24":599,"26":617,"27":634,"29":648,"30":654,"32":671,"34":694,"35":701,"36":705,"37":714,"38":716,"39":736,"40":739,"41":742,"42":746,"43":749,"44":751,"45":759,"46":778,"47":785,"48":793,"49":805,"50":815,"51":819,"52":844,"54":852,"55":862,"56":867,"57":874,"58":885,"60":909,"61":926,"62":928,"63":931,"65":938,"66":946,"67":947,"68":950,"69":952,"70":961,"71":964,"73":969,"75":993,"77":1002},{"0":513,"1":534,"3":538,"4":542,"6":565,"8":594,"10":604,"11":614,"12":616,"13":629,"15":639,"18":662,"19":669,"21":682,"24":768,"25":787,"26":789,"27":799,"28":813,"29":824,"30":826,"31":829,"32":855,"35":908,"37":936,"38":971,"39":977,"40":985,"41":992,"42":1009,"43":1014},{"0":518,"1":522,"3":607,"4":626,"5":640,"7":661,"8":692,"9":696,"10":709,"11":723,"12":745,"13":748,"14":750,"17":779,"20":806,"21":846,"22":872,"24":907,"25":929,"26":934,"27":941,"29":949,"30":991,"31":1013},{"1":536,"2":546,"4":563,"5":605,"6":608,"7":622,"8":641,"9":666,"10":670,"11":678,"12":683,"13":728,"14":731,"15":802,"17":833,"18":834,"22":892,"25":922,"26":932,"27":966,"28":976,"29":982,"30":990,"31":995,"32":996},{"1":517,"2":532,"3":539,"4":569,"5":579,"7":628,"8":673,"9":711,"10":712,"11":724,"12":737,"13":764,"15":832,"17":839,"19":856,"21":886,"23":917,"25":1000},{"1":531,"3":583,"4":632,"6":679,"7":690,"8":699,"9":704,"11":715,"12":758,"13":786,"15":921,"16":925,"21":1007},{"1":529,"3":647,"4":729,"5":730,"6":880},[528,596,650,659],[825],[]]