[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":27,"28":29,"29":30,"30":31,"32":33,"33":34,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":55,"54":56,"55":57,"57":59,"58":60,"59":61,"60":62,"61":63,"62":64,"63":65,"64":66,"65":67,"66":68,"67":69,"68":70,"69":71,"70":72,"71":75,"72":76,"73":77,"74":78,"75":79,"76":80,"77":81,"78":82,"79":83,"80":84,"82":86,"83":87,"84":88,"85":90,"86":91,"87":92,"88":93,"89":94,"90":95,"91":96,"92":97,"93":98,"94":99,"95":101,"96":102,"97":103,"98":104,"101":107,"102":108,"103":109,"104":110,"105":111,"106":112,"107":113,"108":114,"109":115,"110":116,"111":117,"112":118,"113":119,"114":121,"115":122,"116":123,"118":125,"119":126,"120":127,"121":128,"122":129,"123":130,"124":131,"126":134,"127":135,"128":136,"129":137,"131":139,"132":140,"133":141,"134":142,"135":143,"136":144,"137":145,"139":147,"140":148,"141":149,"142":151,"143":152,"144":153,"145":154,"147":156,"148":157,"150":159,"151":160,"152":161,"153":162,"154":163,"156":165,"157":166,"158":167,"159":169,"160":170,"161":171,"162":172,"163":173,"164":174,"165":175,"167":177,"168":178,"169":179,"170":180,"171":181,"172":182,"173":183,"174":184,"176":186,"178":188,"179":189,"180":190,"181":191,"182":192,"183":193,"184":194,"185":195,"186":196,"187":197,"188":198,"189":199,"190":200,"191":202,"192":203,"193":204,"194":205,"195":206,"196":207,"198":209,"199":210,"200":211,"201":212,"202":213,"203":214,"205":216,"206":217,"207":218,"208":219,"209":220,"210":222,"211":223,"212":224,"213":225,"214":226,"215":227,"216":228,"217":229,"218":230,"219":231,"220":232,"221":233,"222":234,"223":235,"224":236,"225":237,"226":238,"227":239,"228":240,"229":241,"230":242,"231":243,"232":244,"233":245,"234":246,"235":247,"236":248,"237":249,"238":250,"239":251,"240":252,"241":253,"242":254,"243":255,"244":256,"245":257,"246":258,"247":259,"248":260,"249":261,"250":262,"251":263,"252":264,"253":265,"254":266,"255":268,"256":269,"257":270,"258":271,"259":273,"260":274,"261":275,"262":276,"264":278,"265":279,"266":280,"267":281,"268":282,"269":283,"270":284,"271":285,"272":286,"273":287,"274":288,"275":289,"276":290,"278":292,"279":293,"280":294,"281":295,"282":297,"283":298,"284":299,"285":300,"286":301,"287":302,"288":303,"289":304,"290":305,"291":306,"292":307,"294":309,"295":310,"296":311,"297":312,"298":313,"299":314,"300":315,"302":317,"303":318,"304":319,"305":320,"306":321,"307":322,"309":324,"310":325,"311":327,"312":328,"313":329,"314":330,"315":331,"316":332,"318":334,"319":335,"320":336,"321":337,"322":338,"323":339,"324":341,"325":342,"326":343,"328":345,"329":346,"330":347,"331":348,"332":349,"333":350,"334":351,"335":352,"337":354,"338":355,"339":356,"340":358,"341":359,"342":360,"343":361,"344":362,"345":363,"346":364,"347":365,"348":366,"349":367,"350":368,"351":369,"352":370,"353":371,"354":372,"355":373,"356":374,"357":375,"358":376,"359":377,"360":378,"361":379,"362":380,"363":381,"364":382,"365":383,"366":384,"367":385,"368":386,"370":388,"371":391,"372":392,"373":393,"374":394,"376":396,"377":397,"379":399,"380":400,"382":402,"383":403,"384":404,"385":405,"386":406,"387":407,"388":408,"389":410,"391":412,"392":413,"393":414,"394":415,"395":416,"396":417,"398":420,"399":421,"401":423,"402":424,"404":426,"405":427,"406":428,"407":429,"408":430,"409":431,"410":432,"411":433,"412":434,"413":435,"414":436,"415":437,"416":438,"417":439,"418":440,"419":441,"421":443,"422":444,"423":445,"424":446,"425":447,"426":448,"428":450,"429":451,"430":452,"432":454,"433":455,"434":456,"435":458,"436":459,"437":460,"438":461,"439":462,"440":463,"441":464,"442":465,"443":466,"444":467,"445":468,"446":469,"447":470,"448":471,"449":472,"450":473,"451":474,"452":475,"453":476,"454":477,"455":478,"456":479,"457":480,"458":481,"459":482,"460":483,"461":484,"463":486,"464":487,"465":488,"466":490,"467":491,"468":492,"469":494,"470":495,"471":496,"472":497,"473":498,"474":500,"475":501,"476":502,"477":503,"478":504,"479":505,"480":506,"481":507,"482":508,"483":509,"484":511,"485":517,"486":519,"487":530,"488":531,"489":536,"490":537,"491":546,"492":550,"493":555,"494":564,"495":574,"496":575,"498":577,"499":579,"500":581,"501":591,"503":605,"504":618,"505":625,"506":628,"507":631,"508":636,"509":637,"510":647,"511":649,"512":653,"513":654,"514":674,"515":675,"516":683,"517":695,"518":697,"519":701,"521":707,"522":709,"523":710,"524":714,"525":715,"526":717,"527":721,"528":723,"529":728,"530":731,"531":732,"532":733,"533":737,"534":741,"535":746,"536":749,"537":756,"538":760,"539":765,"540":773,"541":776,"542":778,"543":779,"544":784,"545":792,"546":794,"547":804,"548":813,"549":814,"550":828,"551":840,"552":844,"553":852,"554":855,"555":856,"556":859,"557":861,"558":862,"559":864,"560":867,"561":881,"562":882,"563":884,"564":885,"565":896,"566":902,"567":903,"568":904,"569":905,"570":906,"571":907,"572":910,"573":911,"574":918,"575":922,"576":923,"577":928,"578":931,"579":934,"580":939,"581":940,"582":943,"583":949,"584":953,"585":955,"586":956,"587":958,"588":960,"589":965,"590":971,"591":973,"592":975,"593":977,"594":979,"595":980,"596":984,"597":985,"598":990,"599":994,"600":1004,"601":1008,"602":1014,"603":1015,"604":1021,"605":1022},{"0":2,"1":35,"2":73,"3":74,"4":89,"5":100,"6":120,"7":133,"8":150,"9":168,"10":201,"11":221,"12":267,"13":272,"14":296,"15":326,"16":340,"17":357,"18":389,"19":390,"20":409,"21":418,"22":457,"23":489,"24":493,"25":499,"26":510,"27":512,"28":518,"29":520,"30":521,"31":522,"32":523,"33":526,"34":538,"35":541,"36":545,"37":547,"38":548,"39":557,"40":558,"41":560,"42":562,"43":563,"44":565,"45":571,"46":573,"47":580,"48":582,"49":586,"50":590,"51":592,"52":594,"53":597,"54":599,"55":602,"56":606,"57":607,"58":609,"59":612,"60":616,"61":619,"62":622,"63":626,"64":627,"65":632,"66":634,"67":639,"68":640,"69":642,"70":651,"71":655,"72":658,"73":662,"74":664,"75":665,"76":666,"77":670,"78":672,"79":676,"80":677,"81":678,"82":689,"83":690,"84":692,"85":694,"86":696,"87":703,"88":705,"89":708,"90":711,"91":712,"92":719,"93":722,"94":725,"95":730,"96":734,"97":736,"98":743,"99":745,"100":747,"101":751,"102":754,"103":759,"105":763,"106":771,"107":772,"108":782,"109":785,"110":786,"111":788,"112":793,"113":796,"114":798,"115":799,"116":801,"117":807,"118":809,"119":810,"120":826,"121":829,"122":833,"123":839,"124":845,"125":846,"126":847,"127":848,"128":849,"129":854,"130":858,"131":874,"132":898,"133":912,"134":916,"135":921,"136":924,"138":929,"139":933,"140":937,"141":941,"142":942,"143":951,"144":957,"145":959,"146":961,"148":970,"149":978,"150":982,"151":983,"152":992,"153":993,"154":995,"155":996,"156":1001,"157":1003,"158":1011,"159":1012,"160":1023},{"0":513,"1":515,"2":534,"3":535,"4":566,"5":569,"6":570,"7":572,"8":578,"9":584,"10":598,"11":608,"12":615,"13":621,"14":635,"15":641,"16":652,"17":657,"18":663,"19":673,"20":686,"21":688,"22":691,"23":698,"24":699,"25":720,"26":724,"27":738,"28":744,"29":753,"30":757,"31":758,"32":766,"33":770,"34":774,"35":775,"36":781,"37":783,"38":791,"39":795,"40":797,"41":815,"42":819,"43":823,"44":824,"46":832,"47":836,"48":841,"49":850,"50":865,"51":869,"52":871,"53":872,"54":877,"55":879,"56":880,"57":891,"58":895,"59":899,"60":909,"61":920,"62":926,"63":927,"64":935,"65":938,"66":946,"67":948,"68":950,"69":963,"70":969,"71":997,"72":998,"73":999,"74":1000,"75":1006,"76":1016,"77":1018,"78":1019},{"0":524,"1":525,"2":528,"3":529,"4":533,"5":539,"7":554,"8":556,"9":561,"10":567,"11":568,"12":583,"13":589,"15":611,"16":633,"17":646,"18":656,"19":659,"20":667,"21":668,"22":671,"23":681,"24":682,"25":685,"26":716,"27":729,"28":740,"29":761,"30":767,"31":777,"32":789,"33":802,"34":803,"35":805,"36":808,"37":817,"38":820,"39":825,"40":842,"41":863,"42":873,"43":878,"44":893,"45":894,"46":908,"47":913,"48":915,"49":936,"50":967,"51":986,"52":988,"53":989,"54":1002,"55":1010,"56":1020},{"0":527,"1":544,"2":552,"3":559,"4":593,"6":601,"7":613,"8":620,"9":624,"10":630,"11":638,"12":661,"13":680,"14":684,"15":702,"16":713,"17":735,"19":780,"20":811,"21":834,"22":887,"23":888,"24":892,"25":901,"26":954,"27":962,"29":972,"30":974,"31":1005,"32":1007},{"1":549,"2":585,"3":596,"4":617,"5":644,"6":650,"7":660,"8":693,"9":700,"10":718,"11":739,"12":787,"14":816,"15":822,"16":827,"17":868,"18":870,"19":875,"20":886,"21":900,"22":966,"23":1013,"24":1017},{"0":514,"1":540,"2":588,"3":610,"4":614,"5":623,"7":648,"8":669,"9":704,"10":752,"11":764,"12":790,"13":800,"14":821,"15":830,"17":843,"18":860,"19":889,"20":930,"21":976,"22":981,"23":991},[532,551,553,687,726,768,769,812,837,883,897,914,917,944,987],[516,587,643,645,748,750,851],[604,679,727,835,857],{"1":853,"2":952,"3":1009},[919,945],[]]