[{"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"9":10,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"22":23,"25":26,"26":27,"28":30,"29":31,"31":33,"32":34,"33":35,"34":36,"35":37,"37":39,"38":40,"40":42,"41":43,"42":44,"44":46,"45":47,"46":48,"48":50,"49":51,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"59":62,"60":63,"63":66,"64":67,"65":68,"69":72,"70":73,"71":74,"75":78,"78":81,"79":82,"80":83,"82":85,"84":87,"85":88,"88":91,"90":93,"94":97,"95":98,"96":99,"98":101,"99":102,"101":105,"104":108,"106":110,"107":111,"109":113,"110":114,"112":116,"114":118,"117":121,"118":122,"119":123,"120":124,"124":129,"126":131,"129":134,"131":136,"132":137,"134":139,"135":140,"136":141,"137":142,"139":144,"141":146,"145":150,"146":151,"147":152,"149":154,"151":156,"152":157,"153":158,"155":160,"157":162,"158":163,"159":164,"162":167,"163":168,"164":169,"165":170,"167":172,"168":173,"169":174,"170":175,"171":176,"173":178,"174":179,"175":180,"176":181,"177":182,"178":183,"179":184,"181":187,"183":189,"186":193,"188":195,"189":196,"192":200,"194":202,"196":204,"198":206,"202":210,"203":211,"205":213,"206":214,"207":215,"208":216,"209":217,"210":218,"211":219,"212":220,"214":222,"215":223,"217":225,"218":226,"220":228,"221":229,"222":230,"223":231,"224":232,"225":233,"226":234,"227":235,"228":236,"229":237,"230":238,"231":239,"232":240,"233":241,"234":242,"235":243,"237":245,"239":247,"240":248,"241":249,"244":252,"245":253,"246":254,"248":256,"249":257,"250":258,"251":259,"253":261,"256":264,"258":266,"260":268,"262":270,"263":271,"265":273,"266":274,"269":277,"272":280,"273":281,"274":282,"276":284,"277":285,"278":286,"281":289,"283":291,"284":292,"285":293,"286":294,"287":295,"288":296,"290":298,"291":299,"292":300,"293":301,"295":303,"297":305,"298":306,"301":310,"302":311,"304":313,"305":314,"308":317,"309":318,"310":319,"311":320,"314":323,"316":325,"318":327,"319":328,"320":329,"321":330,"322":331,"325":334,"326":335,"327":336,"329":338,"330":339,"332":341,"333":342,"334":344,"335":345,"336":346,"338":348,"341":351,"344":354,"345":355,"347":357,"348":358,"349":359,"350":360,"351":361,"352":362,"353":363,"354":364,"356":366,"358":368,"359":369,"360":370,"361":371,"362":372,"366":376,"369":379,"370":380,"371":381,"372":382,"373":383,"375":385,"376":386,"377":387,"378":388,"381":391,"382":392,"383":393,"387":397,"388":398,"389":399,"390":400,"391":401,"392":402,"394":404,"396":406,"398":408,"399":409,"400":410,"401":411,"403":413,"405":415,"406":416,"408":418,"410":420,"411":421,"414":424,"417":428,"418":429,"419":430,"421":432,"422":433,"424":435,"426":437,"427":438,"428":439,"430":441,"431":442,"432":443,"435":446,"436":447,"438":450,"439":451,"440":452,"441":453,"443":455,"446":458,"447":459,"448":460,"449":461,"450":462,"451":463,"452":464,"453":465,"454":466,"455":467,"456":468,"457":469,"462":474,"464":476,"467":479,"469":481,"471":483,"472":484,"473":494,"475":499,"476":502,"477":506,"478":509,"479":515,"480":516,"481":518,"483":522,"484":527,"485":534,"486":536,"487":550,"488":554,"489":559,"491":562,"492":568,"493":577,"495":591,"496":597,"497":599,"498":602,"499":605,"501":622,"502":624,"503":625,"505":633,"508":642,"509":643,"510":644,"511":647,"512":648,"513":649,"514":650,"515":656,"516":660,"517":663,"519":678,"520":682,"521":685,"523":689,"525":692,"526":693,"529":697,"530":698,"532":706,"534":720,"535":723,"537":725,"538":726,"539":744,"540":748,"541":751,"543":762,"544":767,"545":769,"546":770,"548":786,"549":795,"550":797,"551":800,"552":802,"554":814,"557":834,"559":845,"560":850,"561":852,"563":864,"564":872,"565":889,"566":897,"567":903,"568":907,"570":915,"572":932,"573":936,"574":937,"575":938,"576":950,"577":951,"578":954,"579":957,"580":965,"581":967},{"1":52,"2":104,"3":125,"4":186,"5":190,"7":425,"8":492,"9":496,"10":510,"11":531,"12":533,"13":546,"15":558,"17":581,"18":582,"19":590,"20":594,"21":601,"22":615,"24":617,"25":623,"27":641,"28":658,"30":671,"31":672,"33":679,"35":715,"36":722,"37":727,"38":730,"39":735,"41":738,"42":739,"43":742,"44":746,"45":750,"46":752,"47":766,"48":768,"49":773,"51":778,"52":781,"53":791,"54":796,"55":798,"56":810,"58":820,"59":827,"60":830,"62":838,"63":840,"64":869,"65":873,"66":876,"67":878,"68":892,"69":896,"70":902,"71":904,"72":912,"73":917,"74":920,"75":931,"76":935,"77":943,"79":956,"80":958,"81":964,"82":966},{"0":6,"1":199,"2":307,"3":449,"5":489,"6":501,"8":507,"9":512,"12":541,"13":563,"14":567,"15":572,"16":575,"17":588,"19":604,"20":608,"21":629,"24":657,"25":680,"27":705,"28":712,"29":714,"30":747,"31":753,"32":758,"33":763,"34":764,"35":777,"36":799,"37":821,"39":829,"40":832,"41":844,"42":847,"43":860,"46":870,"47":921,"48":923,"49":924,"50":930,"52":962},{"1":505,"2":519,"3":543,"5":561,"6":578,"7":580,"10":598,"11":607,"12":611,"14":627,"15":635,"17":638,"18":661,"19":676,"20":704,"21":716,"23":788,"24":794,"25":804,"26":805,"27":813,"28":837,"29":843,"30":848,"31":853,"33":901,"34":939,"35":940,"37":948},{"0":521,"1":528,"2":539,"3":540,"5":584,"6":612,"7":614,"8":619,"9":631,"13":711,"14":731,"16":774,"17":780,"19":841,"20":879,"21":886,"22":888,"24":929,"25":953,"26":955,"28":963},{"0":508,"1":535,"2":547,"3":574,"4":596,"5":620,"6":652,"7":674,"8":684,"10":729,"13":759,"14":760,"16":836,"17":846,"18":874,"19":881,"21":895,"22":918,"23":927},{"1":498,"2":532,"3":538,"4":542,"5":579,"6":585,"8":603,"9":662,"11":701,"12":779,"13":808,"14":851,"15":877,"17":898,"18":900,"19":922,"20":928,"21":933},{"0":493,"1":495,"4":565,"6":583,"7":610,"8":621,"9":639,"10":668,"11":690,"12":702,"13":732,"14":754,"15":755,"16":824,"17":835,"18":858,"19":885,"20":960},{"0":491,"4":564,"5":570,"6":667,"7":718,"8":761,"9":789,"10":811,"11":815,"12":818,"13":865,"14":890,"15":891,"16":945,"17":969},{"0":500,"1":511,"4":812,"5":825,"6":826,"7":855,"8":857,"9":862,"11":913,"12":952},{"0":553,"2":566,"4":741,"5":783,"6":842,"7":863,"8":908,"9":968},{"1":529,"2":551,"3":569,"4":571,"5":587,"6":646,"7":653,"8":700,"9":707,"11":828,"14":884,"15":887},{"0":486,"1":490,"2":632,"3":655,"4":666,"6":785,"7":787,"8":793,"10":906,"11":910,"13":919,"14":926},{"0":548,"1":600,"2":654,"3":687,"4":708,"5":709,"6":721,"7":743,"11":916},{"0":487,"1":557,"2":609,"3":686,"4":733,"6":801,"7":803,"8":849,"9":856,"10":894},{"0":513,"1":618,"2":670,"3":713,"4":740,"5":765,"7":899,"8":934},{"0":526,"3":792},{"0":651,"2":809,"3":959},[545,659]]