[{"0":1,"1":2,"2":3,"3":4,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":30,"28":31,"29":32,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"61":66,"62":67,"63":68,"64":69,"66":71,"67":72,"68":73,"69":74,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"82":88,"83":90,"84":91,"85":92,"87":96,"88":97,"89":98,"90":99,"91":100,"92":101,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"103":115,"104":116,"105":117,"106":118,"107":119,"108":120,"109":121,"110":122,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"121":136,"122":137,"124":139,"125":140,"126":141,"127":142,"128":143,"129":144,"130":145,"131":146,"132":147,"133":148,"134":149,"135":150,"136":151,"137":153,"138":154,"139":155,"140":156,"141":158,"142":159,"143":160,"144":161,"145":162,"146":163,"147":164,"148":165,"149":166,"150":167,"151":168,"152":169,"153":170,"154":171,"155":172,"157":174,"158":175,"159":176,"160":177,"161":178,"162":179,"163":180,"164":182,"165":183,"166":184,"167":185,"168":186,"169":187,"170":188,"171":190,"172":191,"173":192,"174":193,"176":196,"177":197,"178":198,"179":199,"180":200,"181":201,"182":202,"183":203,"184":205,"187":208,"188":209,"189":211,"190":212,"191":213,"192":214,"193":215,"194":216,"195":217,"196":218,"197":219,"198":220,"199":221,"200":222,"201":223,"202":224,"203":225,"204":226,"205":227,"206":228,"207":229,"208":230,"209":231,"210":232,"211":234,"212":235,"213":236,"214":238,"215":239,"216":240,"217":241,"218":242,"219":244,"220":245,"221":246,"222":247,"223":248,"224":249,"225":250,"226":251,"227":252,"228":253,"229":254,"230":256,"232":258,"233":259,"234":260,"235":261,"236":262,"237":263,"238":264,"239":265,"240":266,"241":267,"242":268,"243":269,"245":271,"246":272,"247":273,"248":274,"249":275,"250":276,"251":277,"252":278,"253":279,"254":280,"256":282,"257":283,"259":285,"260":286,"261":287,"262":288,"264":291,"265":292,"266":293,"267":294,"268":295,"269":297,"270":298,"271":299,"272":300,"273":301,"274":302,"275":303,"276":305,"277":306,"278":307,"279":308,"280":309,"282":311,"283":313,"284":314,"285":315,"287":317,"288":318,"289":319,"290":320,"291":321,"292":322,"293":323,"294":324,"295":325,"296":326,"297":329,"298":330,"299":331,"301":333,"302":334,"303":335,"304":336,"305":337,"307":339,"308":340,"309":341,"310":342,"311":343,"312":344,"313":345,"314":346,"315":347,"316":348,"317":349,"318":350,"319":351,"320":352,"321":353,"322":354,"323":356,"324":357,"325":359,"326":360,"327":361,"328":362,"329":363,"330":364,"331":365,"332":366,"333":367,"334":368,"335":369,"336":370,"337":371,"338":372,"339":373,"340":374,"341":375,"342":376,"343":377,"344":378,"345":379,"346":380,"347":381,"348":382,"349":383,"350":384,"351":385,"352":386,"353":387,"354":388,"356":393,"357":394,"358":395,"359":396,"360":397,"361":398,"362":399,"363":400,"364":401,"365":402,"366":403,"367":404,"369":406,"370":407,"371":408,"373":410,"374":412,"375":413,"376":414,"377":415,"378":416,"379":417,"380":418,"382":420,"383":421,"384":422,"385":424,"386":425,"387":426,"388":428,"389":429,"390":430,"391":431,"392":432,"393":433,"394":434,"395":436,"396":437,"397":438,"398":439,"399":440,"400":442,"401":443,"402":444,"403":445,"404":446,"405":447,"407":449,"409":451,"410":452,"412":455,"413":456,"414":457,"415":458,"416":459,"417":460,"419":462,"420":464,"421":465,"422":466,"423":467,"424":468,"425":469,"426":470,"427":471,"428":472,"429":473,"430":474,"431":475,"432":476,"433":477,"434":478,"435":479,"436":480,"437":481,"438":483,"439":484,"440":485,"441":486,"442":487,"443":488,"444":489,"445":491,"446":492,"447":493,"448":494,"449":495,"450":497,"451":498,"452":499,"453":500,"454":501,"455":502,"456":503,"457":504,"458":505,"459":506,"460":507,"461":508,"462":509,"463":510,"464":516,"465":517,"466":519,"467":521,"468":525,"469":528,"470":529,"471":535,"472":547,"473":552,"474":553,"475":558,"476":561,"477":566,"478":569,"480":588,"481":592,"482":594,"483":602,"484":606,"485":613,"486":614,"487":616,"488":623,"490":626,"491":633,"492":635,"493":640,"494":646,"495":648,"496":651,"497":656,"498":659,"499":660,"500":674,"501":675,"502":677,"503":679,"504":681,"505":682,"506":683,"507":686,"508":687,"509":691,"510":692,"511":699,"512":700,"513":702,"514":703,"515":706,"516":712,"517":714,"518":716,"519":717,"520":722,"521":724,"522":727,"523":729,"524":732,"525":737,"526":738,"527":741,"528":744,"529":745,"530":751,"531":754,"532":763,"533":766,"534":767,"535":770,"536":771,"537":774,"538":779,"539":784,"540":787,"541":789,"542":790,"543":794,"544":802,"545":813,"546":819,"547":823,"548":824,"549":827,"550":843,"551":848,"552":856,"553":858,"554":869,"555":870,"556":874,"557":875,"558":876,"559":878,"560":894,"561":899,"562":903,"563":904,"564":906,"566":920,"567":929,"568":932,"569":935,"570":938,"571":941,"572":943,"573":944,"574":946,"575":948,"576":951,"577":954,"578":955,"579":963,"580":964,"581":965,"582":970,"583":973,"584":976,"585":977,"586":983,"587":987,"588":991,"589":995,"590":997,"591":1000,"592":1004,"593":1007,"594":1008,"595":1010,"596":1012,"597":1019,"598":1022},{"0":0,"1":5,"2":29,"3":33,"4":45,"5":85,"6":89,"7":93,"8":95,"9":102,"10":103,"11":114,"12":123,"13":124,"14":135,"15":152,"16":157,"17":181,"18":189,"19":195,"20":204,"21":210,"22":233,"23":237,"24":243,"25":255,"26":289,"27":296,"28":304,"29":312,"30":327,"31":328,"32":355,"33":358,"34":389,"35":390,"36":392,"37":411,"38":423,"40":435,"41":441,"42":454,"43":463,"44":482,"45":490,"46":496,"47":511,"48":512,"49":515,"50":531,"51":536,"52":537,"53":538,"54":542,"55":544,"56":549,"57":554,"58":564,"59":565,"60":568,"61":571,"62":575,"63":587,"65":593,"66":595,"67":603,"68":604,"69":608,"70":611,"71":618,"72":621,"73":631,"74":638,"75":645,"76":649,"77":655,"78":657,"79":665,"80":666,"81":670,"82":672,"83":676,"84":678,"85":685,"87":690,"88":701,"89":705,"90":707,"91":709,"92":710,"93":713,"94":731,"95":736,"96":740,"97":742,"98":747,"99":749,"100":755,"101":756,"102":757,"103":765,"104":772,"105":773,"106":777,"107":780,"108":782,"109":786,"110":788,"111":792,"112":793,"114":807,"115":810,"116":817,"117":821,"118":828,"119":832,"120":835,"121":842,"122":847,"123":860,"125":871,"126":872,"127":877,"128":884,"129":886,"130":890,"131":893,"132":902,"133":905,"134":910,"135":911,"136":912,"137":916,"138":917,"139":919,"140":927,"141":930,"142":934,"143":939,"144":953,"145":958,"146":960,"147":966,"148":967,"149":978,"150":981,"151":985,"152":989,"153":993,"154":1002,"155":1005,"157":1013,"158":1016,"159":1018,"160":1021},{"0":513,"1":533,"2":541,"3":543,"4":551,"5":578,"6":579,"7":581,"8":600,"9":617,"10":620,"11":625,"12":627,"13":630,"14":636,"15":637,"16":644,"18":668,"19":698,"20":723,"21":725,"22":728,"23":735,"24":758,"25":760,"26":776,"27":783,"28":797,"29":798,"30":801,"31":803,"32":805,"33":806,"34":808,"35":814,"36":830,"37":837,"38":839,"39":850,"40":851,"41":854,"43":857,"44":859,"45":862,"46":863,"47":867,"48":868,"49":883,"50":885,"51":887,"52":891,"53":900,"54":908,"55":913,"56":918,"57":923,"58":925,"59":926,"60":931,"61":936,"62":942,"63":957,"65":980,"66":982,"67":986,"70":999,"71":1009,"72":1014,"73":1023},{"0":514,"1":518,"2":524,"3":530,"4":534,"5":555,"6":556,"7":557,"8":560,"9":562,"10":573,"11":574,"12":586,"13":597,"14":609,"15":610,"16":615,"17":634,"18":639,"19":667,"20":669,"21":704,"22":708,"23":711,"24":719,"25":730,"26":733,"27":739,"28":746,"29":752,"30":753,"31":762,"32":775,"33":781,"34":785,"35":809,"37":815,"38":829,"39":834,"40":838,"41":845,"42":888,"43":896,"44":901,"45":921,"46":924,"47":949,"48":956,"49":968,"50":1015},{"0":520,"1":548,"2":559,"3":577,"4":580,"5":583,"6":584,"7":589,"9":599,"10":605,"11":612,"12":622,"13":629,"14":632,"15":643,"16":647,"17":652,"18":658,"20":697,"21":715,"22":718,"23":721,"24":761,"25":769,"26":822,"27":831,"28":836,"30":853,"31":866,"32":879,"34":892,"35":933,"36":969,"37":1001},{"0":523,"1":526,"2":540,"3":545,"4":546,"5":563,"6":572,"7":596,"8":598,"9":650,"10":653,"11":663,"12":671,"13":799,"14":844,"16":889,"17":895,"18":928,"19":945,"20":947,"21":961,"22":962,"24":988,"25":992,"26":996,"27":1006},{"3":654,"4":680,"5":684,"6":720,"8":734,"9":748,"10":750,"12":768,"13":778,"14":791,"15":826,"16":865,"17":882,"18":897,"19":915,"22":1017},[522,585,601,607,642,664,693,800,820,840,873,898,1020],[527,539,567,576,662,825,833,864,914,937,952,972,974,984],[694,695,759,804,816,841,880,1003],[550,619,795,907,922],[696,743],[811],[]]