[{"0":0,"1":1,"2":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":27,"28":28,"29":29,"30":30,"31":31,"32":32,"33":33,"34":34,"35":35,"36":36,"37":37,"38":38,"39":39,"40":40,"41":41,"42":42,"43":43,"44":46,"45":47,"46":49,"47":50,"48":52,"50":54,"51":55,"52":57,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"63":68,"64":69,"65":70,"66":71,"67":72,"68":73,"69":74,"70":75,"71":76,"72":77,"73":79,"74":80,"75":81,"76":82,"78":85,"79":86,"80":87,"81":89,"82":90,"83":91,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":99,"92":101,"93":102,"94":103,"95":104,"96":105,"97":106,"98":107,"99":109,"100":110,"101":111,"102":112,"103":113,"104":114,"105":115,"106":117,"107":118,"108":119,"109":120,"110":121,"113":124,"115":126,"116":127,"117":128,"118":129,"119":130,"121":132,"123":134,"124":135,"125":136,"126":137,"127":138,"128":139,"129":140,"130":141,"131":142,"132":143,"133":144,"134":145,"135":147,"136":148,"137":149,"138":150,"139":151,"140":152,"141":153,"142":154,"143":155,"144":156,"145":157,"146":158,"147":159,"148":160,"149":162,"150":163,"151":165,"152":166,"153":167,"154":168,"155":169,"156":170,"157":171,"158":172,"159":173,"160":174,"161":175,"162":176,"163":177,"164":178,"165":179,"166":180,"167":181,"168":182,"170":184,"171":185,"173":187,"174":188,"175":189,"176":191,"177":192,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"185":200,"186":201,"187":202,"188":203,"190":205,"191":206,"192":207,"193":208,"194":209,"195":210,"196":211,"197":212,"198":213,"199":214,"200":215,"201":216,"202":217,"203":219,"204":221,"205":222,"206":223,"207":224,"208":225,"209":226,"210":227,"211":228,"212":229,"213":230,"214":231,"215":232,"216":233,"217":234,"218":236,"219":237,"220":238,"221":239,"222":240,"223":243,"224":244,"225":245,"226":247,"227":248,"228":249,"229":251,"230":252,"231":253,"232":254,"233":255,"234":256,"235":257,"236":258,"237":259,"238":260,"240":263,"241":264,"243":267,"244":268,"245":269,"246":270,"248":272,"249":273,"250":274,"251":275,"252":276,"253":277,"254":278,"255":279,"256":280,"257":281,"258":282,"259":283,"260":284,"261":285,"262":287,"263":288,"264":289,"265":290,"266":291,"267":292,"268":293,"269":294,"270":296,"271":297,"273":299,"274":301,"275":302,"276":303,"277":304,"278":306,"279":307,"280":308,"282":311,"283":312,"285":314,"286":315,"287":316,"288":318,"289":319,"290":320,"291":321,"292":322,"293":323,"294":324,"295":326,"296":328,"297":330,"298":331,"299":332,"300":333,"303":338,"305":340,"306":341,"307":342,"308":343,"309":344,"310":345,"311":346,"312":347,"313":348,"314":349,"315":350,"316":351,"317":352,"318":354,"319":355,"320":356,"321":357,"322":358,"323":359,"324":360,"325":361,"326":362,"327":364,"328":365,"329":367,"330":368,"331":369,"332":370,"333":371,"334":372,"335":373,"336":374,"337":376,"338":377,"339":378,"340":380,"341":381,"342":382,"343":383,"344":384,"345":385,"346":386,"347":387,"348":388,"349":389,"350":390,"351":391,"352":392,"353":393,"354":394,"355":395,"356":396,"357":397,"358":399,"359":400,"360":401,"361":402,"362":403,"363":404,"364":405,"365":406,"366":407,"367":408,"368":409,"369":410,"370":411,"371":412,"372":413,"374":415,"375":416,"376":417,"377":418,"378":419,"380":421,"381":422,"382":423,"383":424,"384":425,"385":426,"386":427,"387":428,"388":429,"389":430,"391":432,"393":434,"394":435,"395":436,"396":437,"397":438,"398":439,"399":440,"400":441,"401":442,"402":443,"403":444,"404":445,"405":446,"406":447,"407":448,"408":450,"409":451,"410":452,"411":453,"412":454,"413":455,"414":456,"415":457,"416":458,"417":459,"418":460,"419":461,"420":463,"421":464,"422":465,"423":466,"424":467,"425":468,"426":469,"427":470,"428":471,"429":472,"430":473,"431":474,"432":476,"433":477,"434":478,"435":479,"436":480,"437":481,"438":482,"439":483,"440":484,"441":485,"442":486,"443":487,"444":488,"445":489,"446":490,"447":491,"448":492,"449":493,"450":494,"451":495,"452":496,"453":497,"454":498,"455":499,"456":500,"457":501,"458":502,"459":503,"460":504,"461":505,"462":506,"463":507,"464":508,"465":509,"466":510,"467":511,"468":515,"469":516,"471":519,"472":521,"473":533,"474":542,"475":552,"476":553,"477":554,"478":559,"479":568,"480":580,"481":585,"482":587,"483":589,"484":594,"485":595,"486":599,"487":606,"488":608,"489":613,"490":614,"492":635,"493":636,"494":637,"495":640,"496":649,"497":650,"498":653,"499":654,"500":662,"501":663,"502":673,"503":674,"504":680,"505":683,"506":685,"507":692,"508":700,"509":701,"510":704,"511":707,"512":709,"513":718,"514":720,"515":724,"516":726,"517":728,"518":732,"519":744,"520":757,"521":759,"522":760,"523":763,"524":765,"525":766,"526":778,"527":783,"528":785,"529":788,"530":792,"531":794,"532":802,"533":807,"534":810,"535":811,"536":812,"537":814,"538":821,"539":825,"540":827,"541":836,"542":839,"543":841,"544":851,"545":855,"546":858,"547":861,"548":862,"549":865,"550":866,"551":880,"552":882,"553":886,"554":888,"555":889,"556":899,"557":905,"558":909,"559":915,"560":916,"561":918,"562":921,"563":928,"564":929,"565":932,"566":933,"567":935,"568":937,"569":940,"570":941,"571":946,"572":955,"573":956,"574":960,"575":961,"576":962,"577":967,"578":973,"579":977,"580":981,"581":983,"582":986,"583":987,"584":991,"585":999,"586":1000,"587":1001,"588":1005,"589":1008,"590":1009,"591":1020},{"0":44,"1":45,"2":48,"3":51,"4":56,"5":78,"6":83,"7":88,"8":100,"9":146,"10":161,"11":164,"12":190,"13":218,"14":220,"15":241,"16":242,"17":246,"18":250,"19":262,"20":266,"21":286,"22":295,"23":300,"24":305,"25":310,"26":317,"27":325,"28":329,"29":334,"30":336,"31":353,"32":363,"33":366,"34":375,"35":379,"36":398,"37":449,"38":462,"39":475,"40":513,"41":517,"42":524,"43":525,"44":527,"45":529,"46":532,"47":537,"48":539,"49":540,"50":545,"51":547,"52":548,"53":555,"54":556,"55":565,"56":570,"57":571,"58":574,"59":575,"60":578,"61":579,"62":581,"63":582,"64":584,"65":591,"66":592,"67":597,"68":600,"69":602,"70":605,"71":607,"72":609,"73":611,"74":615,"75":616,"76":618,"77":621,"78":644,"79":645,"80":646,"81":647,"82":648,"83":656,"84":657,"85":658,"86":659,"87":664,"88":665,"89":672,"90":677,"91":691,"92":699,"93":703,"94":705,"95":710,"96":715,"97":716,"98":717,"99":721,"100":722,"101":725,"102":727,"103":737,"104":738,"105":742,"106":743,"107":747,"108":749,"109":753,"110":755,"111":762,"112":768,"113":769,"114":770,"115":773,"116":775,"117":777,"118":787,"119":791,"120":797,"121":799,"122":803,"123":805,"124":816,"125":818,"126":819,"127":822,"128":828,"129":830,"130":838,"131":843,"132":846,"133":847,"134":848,"135":852,"136":853,"137":854,"138":857,"139":859,"140":863,"142":874,"143":875,"144":878,"145":890,"146":893,"147":896,"148":900,"149":903,"150":904,"151":908,"152":910,"153":922,"154":923,"155":924,"156":925,"157":926,"158":927,"159":942,"160":949,"161":952,"162":964,"163":968,"164":969,"165":972,"166":975,"167":976,"168":982,"169":988,"170":989,"172":995,"173":1007,"174":1010,"175":1012,"176":1014,"177":1017,"178":1023},{"0":108,"1":116,"2":235,"3":327,"4":526,"5":531,"6":535,"8":562,"9":566,"10":569,"11":572,"12":573,"13":588,"14":604,"15":610,"16":625,"17":626,"18":652,"19":660,"20":669,"21":671,"22":678,"23":679,"24":682,"25":684,"26":695,"27":702,"28":711,"29":729,"30":730,"31":731,"32":736,"33":739,"34":741,"35":745,"36":746,"37":750,"38":764,"40":772,"41":776,"43":781,"44":784,"45":800,"46":801,"47":804,"48":806,"49":809,"50":823,"51":824,"52":840,"53":842,"54":845,"55":872,"56":879,"57":884,"58":885,"59":891,"60":895,"61":898,"62":930,"63":934,"64":938,"65":951,"66":966,"67":970,"68":978,"69":980,"70":984,"71":994,"72":1003,"73":1004,"74":1011,"75":1013,"76":1015},{"0":514,"1":520,"3":538,"4":541,"5":546,"6":560,"7":561,"8":563,"9":576,"10":583,"11":596,"12":601,"13":628,"14":630,"15":634,"16":639,"17":666,"18":675,"19":698,"20":706,"21":708,"22":712,"23":754,"24":782,"25":793,"26":795,"27":826,"28":829,"30":849,"31":850,"32":864,"33":867,"34":894,"35":902,"36":906,"37":911,"38":912,"39":914,"40":917,"41":931,"42":943,"43":945,"44":950,"45":974,"46":979,"47":985,"48":998,"49":1018,"50":1019},{"0":512,"2":534,"3":558,"4":564,"5":577,"6":603,"7":617,"8":629,"9":638,"10":651,"11":661,"12":676,"13":687,"14":694,"15":696,"16":719,"17":733,"18":734,"19":751,"20":752,"21":758,"22":761,"23":774,"24":779,"25":790,"26":796,"27":808,"28":817,"29":832,"30":834,"31":920,"32":944,"33":954,"34":971,"35":993,"36":1002,"37":1016},[522,523,543,544,549,551,557,567,590,598,619,620,623,631,642,643,655,667,681,688,693,740,813,837,860,907,953,958,959,992,997,1006],{"0":586,"1":622,"2":641,"3":668,"5":723,"6":786,"7":831,"8":844,"10":869,"11":873,"12":876,"13":881,"14":883,"15":996,"16":1021},[627,690,735,820,871,897,913,919,948,963],[633,670,748,756,789,798,835,868,887,936,947,1022],[536,593,612,686,713,767,892,901],{"1":697,"2":877,"3":939,"4":957,"5":965},[632],[815]]