[{"0":0,"1":1,"4":4,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"14":15,"17":18,"19":20,"20":21,"21":22,"23":24,"26":27,"27":28,"28":29,"30":31,"31":32,"32":33,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"47":49,"48":50,"49":51,"50":52,"51":53,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"59":62,"60":63,"61":64,"62":65,"64":67,"65":68,"68":71,"69":72,"70":73,"71":74,"72":75,"73":76,"74":77,"75":78,"76":79,"77":80,"78":81,"79":82,"81":84,"82":85,"84":87,"85":88,"87":90,"88":91,"89":92,"90":93,"91":94,"92":95,"93":96,"95":98,"96":99,"97":100,"98":101,"99":102,"100":103,"101":104,"102":105,"103":106,"105":108,"106":109,"107":110,"108":111,"109":112,"110":113,"111":114,"112":115,"113":116,"114":117,"115":118,"116":119,"118":121,"119":123,"121":125,"122":126,"123":127,"124":128,"125":129,"126":130,"127":131,"129":133,"130":135,"131":136,"132":137,"133":138,"134":139,"135":140,"136":141,"137":142,"138":143,"139":144,"140":145,"141":146,"142":147,"143":148,"145":150,"147":152,"148":153,"149":155,"150":156,"151":157,"152":158,"153":159,"154":160,"155":161,"156":162,"157":163,"158":164,"159":165,"160":166,"161":167,"162":168,"164":171,"165":172,"166":173,"168":176,"169":177,"170":178,"171":179,"172":180,"174":182,"175":183,"176":184,"177":185,"178":186,"180":188,"181":189,"182":190,"183":191,"184":192,"185":193,"186":194,"187":195,"188":196,"189":197,"193":201,"194":202,"195":203,"197":205,"198":206,"200":209,"201":210,"202":211,"203":212,"204":213,"205":214,"206":215,"207":216,"208":217,"209":218,"210":219,"211":220,"212":221,"213":222,"214":223,"215":224,"216":225,"219":228,"220":229,"221":230,"222":232,"223":233,"224":234,"225":235,"226":236,"227":237,"228":238,"229":239,"230":241,"231":242,"232":243,"234":245,"235":246,"236":247,"237":248,"239":250,"240":252,"241":253,"242":254,"243":255,"244":256,"245":257,"249":261,"250":263,"251":264,"252":266,"253":267,"254":268,"255":269,"256":270,"257":271,"258":272,"259":273,"260":274,"261":276,"262":278,"263":280,"264":281,"265":282,"266":283,"267":284,"268":285,"269":286,"270":287,"272":289,"273":290,"274":291,"275":292,"276":293,"277":294,"278":295,"279":298,"280":299,"281":300,"282":301,"283":302,"284":303,"285":304,"286":305,"287":306,"288":307,"289":308,"291":310,"292":311,"293":312,"294":313,"295":314,"296":315,"297":316,"298":318,"299":319,"301":321,"302":322,"304":324,"305":325,"306":326,"307":327,"308":328,"309":329,"310":330,"311":331,"313":333,"314":334,"315":335,"316":336,"317":337,"320":340,"321":341,"322":342,"323":343,"324":344,"325":345,"326":346,"327":347,"328":348,"330":350,"331":351,"334":354,"335":355,"336":356,"337":357,"338":358,"340":360,"341":361,"342":362,"343":363,"344":364,"346":366,"347":367,"349":369,"350":370,"351":371,"352":372,"353":373,"354":374,"355":375,"356":376,"357":377,"358":378,"359":379,"360":380,"361":381,"362":382,"363":383,"364":384,"365":385,"366":386,"367":387,"368":388,"370":390,"372":392,"373":393,"374":394,"375":395,"376":396,"377":397,"378":398,"379":399,"381":401,"382":402,"383":403,"384":404,"385":405,"387":407,"389":411,"390":413,"391":414,"392":415,"393":416,"394":417,"395":418,"396":419,"397":420,"398":421,"399":422,"400":424,"401":425,"402":426,"404":428,"405":429,"406":430,"407":431,"410":435,"412":437,"413":438,"414":439,"415":440,"416":441,"417":442,"418":443,"420":445,"421":446,"422":447,"424":449,"425":450,"426":451,"427":453,"428":456,"429":457,"430":458,"434":462,"435":463,"436":464,"437":465,"438":466,"440":468,"441":469,"442":470,"443":471,"444":472,"445":473,"446":474,"447":475,"448":476,"449":477,"450":478,"451":479,"453":481,"454":482,"455":483,"456":484,"457":485,"458":486,"459":487,"461":489,"462":490,"463":493,"464":494,"465":495,"466":496,"467":497,"468":499,"469":500,"470":501,"471":502,"473":505,"474":506,"475":507,"476":508,"477":509,"478":510,"479":511,"480":518,"481":528,"482":543,"484":549,"485":574,"486":580,"487":582,"488":588,"489":590,"490":596,"491":598,"493":605,"494":612,"496":617,"497":618,"498":627,"499":633,"501":642,"502":643,"503":646,"504":647,"505":653,"506":664,"509":668,"510":669,"511":673,"512":676,"513":682,"515":688,"516":691,"517":695,"520":730,"521":734,"522":737,"523":740,"526":756,"527":761,"528":763,"529":764,"530":776,"531":777,"533":791,"535":796,"536":797,"537":798,"538":800,"539":803,"540":806,"542":813,"543":815,"545":820,"547":833,"548":834,"549":848,"550":850,"551":856,"552":861,"553":868,"554":869,"555":871,"556":882,"557":889,"558":895,"559":898,"560":905,"561":911,"562":912,"563":915,"564":919,"565":921,"566":929,"567":930,"568":931,"570":940,"571":941,"572":949,"574":956,"575":972,"577":974,"578":985,"579":986,"582":999,"583":1002,"584":1005,"585":1009,"586":1014,"587":1018,"588":1019,"589":1020},{"0":5,"1":34,"2":54,"3":122,"4":134,"5":154,"7":175,"8":208,"9":231,"10":240,"11":251,"12":262,"13":265,"15":277,"17":296,"19":317,"21":410,"23":423,"24":433,"25":452,"27":455,"28":491,"29":492,"30":498,"31":503,"32":513,"33":517,"34":523,"35":525,"36":535,"37":536,"38":545,"39":550,"40":555,"41":558,"42":559,"43":567,"44":568,"45":573,"46":584,"47":585,"49":602,"50":603,"51":606,"52":608,"53":609,"54":619,"55":625,"56":626,"57":628,"58":630,"59":637,"60":652,"62":655,"63":663,"64":679,"65":681,"66":683,"67":684,"68":690,"69":696,"70":703,"71":707,"72":709,"73":711,"74":714,"75":716,"76":724,"77":727,"78":728,"79":731,"80":743,"81":769,"82":773,"83":775,"84":785,"85":792,"86":809,"87":814,"89":824,"90":830,"91":837,"92":839,"93":840,"94":844,"95":855,"97":867,"98":878,"99":897,"100":920,"101":927,"102":928,"103":936,"104":938,"105":939,"106":942,"107":948,"108":971,"109":988,"110":989,"111":995,"112":996,"113":1000,"114":1011,"115":1013,"116":1016},{"0":519,"1":520,"2":521,"3":537,"4":542,"5":546,"6":551,"7":554,"8":557,"9":563,"10":564,"11":586,"12":594,"13":610,"14":611,"15":623,"16":624,"17":631,"18":644,"19":659,"20":672,"21":689,"22":699,"23":708,"24":722,"25":726,"26":733,"27":747,"28":765,"29":768,"30":771,"31":786,"32":788,"33":794,"34":808,"35":812,"36":832,"37":841,"38":842,"39":843,"40":846,"42":877,"43":899,"44":900,"45":902,"47":908,"48":910,"49":916,"50":917,"51":922,"52":932,"53":934,"54":943,"55":946,"56":950,"57":964,"58":965,"60":969,"61":982,"62":983,"63":984,"64":990,"65":993,"66":994,"67":1004},{"0":516,"1":529,"2":538,"3":544,"4":552,"5":556,"8":583,"9":593,"10":601,"11":641,"12":661,"13":666,"14":675,"15":686,"16":687,"17":692,"18":694,"19":697,"20":705,"21":741,"22":744,"23":754,"24":757,"25":759,"26":789,"27":795,"29":822,"30":849,"31":851,"32":863,"34":876,"35":883,"36":885,"38":892,"39":893,"40":903,"41":909,"42":913,"43":923,"44":925,"45":952,"46":953,"47":957,"48":958,"49":959,"50":975,"51":1023},{"0":530,"1":534,"2":569,"3":571,"4":577,"5":599,"6":614,"7":620,"9":634,"10":638,"11":640,"12":651,"13":656,"14":658,"15":662,"16":715,"17":725,"18":735,"19":749,"20":770,"21":810,"22":819,"23":961,"24":968,"25":970,"26":980,"27":1015},{"0":522,"1":532,"2":560,"3":565,"4":591,"5":592,"6":616,"7":621,"8":645,"9":674,"10":717,"11":723,"12":732,"13":739,"14":774,"15":783,"16":784,"17":787,"18":801,"19":802,"20":811,"21":836,"23":860,"24":862,"25":864,"26":865,"27":887,"29":960,"30":963,"31":981,"32":987,"33":1021},[524,541,587,622,629,649,660,700,701,736,752,762,772,779,821,854,866,874,888,891,904,914,944,945,951,976,977,1003],[512,527,531,540,575,671,677,678,704,706,713,746,753,755,766,782,805,825,827,838,845,857,858,884,894,901,924,947,967,979,1007],{"0":526,"1":539,"2":553,"3":566,"4":572,"5":579,"6":639,"7":657,"8":702,"9":710,"10":720,"11":721,"12":748,"13":767,"14":778,"15":816,"16":826,"17":828,"19":880,"20":926,"21":935,"22":1006,"23":1008},{"0":514,"1":515,"2":604,"3":607,"4":636,"5":650,"6":680,"7":712,"8":758,"9":760,"10":799,"13":890,"14":896,"15":907,"16":933,"17":962,"18":978,"19":1022},{"0":548,"1":562,"2":570,"4":718,"5":790,"6":829,"7":835,"8":879,"11":998,"12":1001,"13":1012,"14":1017},[578,589,648,693,745,853,870],{"0":533,"1":698,"3":781},{"1":595},[],[]]