[{"0":1,"1":3,"2":4,"3":5,"4":6,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"12":15,"13":16,"14":17,"15":19,"17":21,"18":23,"19":25,"20":26,"21":27,"22":28,"23":29,"24":30,"25":33,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":46,"38":48,"39":49,"40":50,"41":51,"42":52,"43":53,"44":54,"45":55,"46":56,"47":57,"48":58,"49":59,"50":61,"51":62,"52":63,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"66":77,"68":79,"69":80,"70":81,"72":83,"73":85,"74":86,"75":87,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":102,"90":103,"91":104,"92":105,"93":106,"94":107,"95":108,"96":109,"97":110,"98":111,"99":112,"101":115,"102":117,"103":118,"104":119,"105":120,"106":121,"107":122,"108":123,"109":124,"110":125,"111":126,"112":127,"113":128,"114":129,"116":131,"117":132,"118":133,"119":135,"120":136,"121":138,"122":139,"123":140,"124":141,"125":142,"126":143,"127":144,"128":145,"129":146,"130":147,"131":149,"132":150,"133":151,"134":152,"135":153,"136":154,"137":155,"138":156,"139":157,"140":158,"141":159,"142":160,"143":161,"144":162,"145":163,"146":164,"147":165,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":173,"156":174,"157":175,"158":176,"160":178,"161":179,"162":180,"163":181,"164":182,"166":184,"167":185,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"176":194,"177":195,"178":196,"179":197,"180":198,"181":199,"182":200,"183":201,"184":202,"185":203,"186":204,"187":205,"188":206,"189":207,"190":208,"191":209,"192":211,"193":212,"194":213,"195":214,"196":215,"197":217,"198":218,"199":219,"200":220,"201":221,"202":222,"203":223,"204":224,"205":225,"206":227,"207":228,"208":229,"209":230,"210":231,"211":232,"212":233,"213":234,"214":236,"215":237,"216":238,"217":239,"218":240,"219":242,"220":243,"221":244,"222":245,"223":246,"224":247,"225":248,"226":249,"227":250,"228":251,"229":252,"230":253,"231":254,"232":255,"233":256,"234":257,"236":259,"237":260,"238":261,"239":262,"240":263,"241":264,"242":265,"243":266,"244":267,"245":268,"246":269,"247":270,"248":271,"249":272,"250":274,"251":275,"252":276,"253":277,"254":278,"255":279,"256":280,"258":282,"259":283,"260":284,"261":285,"262":286,"263":287,"264":288,"265":289,"266":290,"267":291,"268":292,"269":293,"270":294,"271":295,"272":296,"274":298,"275":299,"276":300,"277":301,"278":302,"279":303,"280":304,"281":305,"282":306,"283":307,"284":308,"285":310,"286":311,"287":312,"288":314,"289":315,"290":316,"291":317,"292":318,"293":319,"294":320,"295":321,"296":322,"297":323,"298":324,"299":325,"300":326,"301":327,"302":328,"303":329,"304":330,"305":331,"306":332,"307":333,"308":334,"309":335,"310":337,"311":338,"312":339,"313":340,"314":341,"315":342,"316":344,"317":345,"318":346,"319":348,"320":349,"321":350,"322":352,"323":353,"324":354,"325":355,"326":356,"327":357,"328":358,"329":359,"330":360,"331":361,"332":363,"333":364,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"341":372,"342":373,"343":374,"344":375,"347":378,"348":379,"349":380,"350":381,"351":382,"352":383,"353":384,"354":385,"355":386,"356":387,"357":388,"358":389,"359":390,"360":391,"362":393,"363":394,"364":396,"365":397,"367":399,"368":400,"369":401,"370":402,"371":403,"372":404,"373":405,"374":406,"375":407,"376":408,"377":409,"378":410,"379":411,"380":412,"381":414,"382":415,"383":416,"384":417,"385":418,"387":420,"388":421,"389":422,"390":424,"391":425,"392":428,"393":429,"394":431,"395":432,"396":433,"397":434,"398":435,"399":436,"400":437,"401":438,"402":439,"403":440,"404":441,"405":442,"406":443,"407":444,"408":446,"409":448,"411":450,"412":451,"413":452,"414":453,"415":455,"416":456,"417":457,"418":458,"419":459,"420":460,"421":461,"422":462,"423":463,"424":465,"425":466,"426":467,"427":468,"428":469,"429":470,"430":471,"431":472,"432":473,"433":476,"434":477,"435":478,"436":479,"437":480,"438":481,"439":482,"440":483,"441":484,"442":485,"443":486,"444":487,"445":488,"446":489,"447":491,"448":492,"449":493,"450":495,"451":496,"452":497,"453":498,"454":499,"455":500,"456":501,"457":503,"458":504,"459":506,"460":507,"461":508,"462":509,"463":510,"464":511,"465":517,"466":526,"467":532,"468":536,"469":537,"470":538,"471":544,"472":547,"473":554,"474":562,"475":565,"476":566,"477":567,"478":570,"479":573,"480":575,"481":592,"482":594,"483":595,"484":596,"485":597,"486":599,"487":606,"488":609,"489":619,"490":624,"491":634,"492":635,"493":636,"494":637,"495":638,"496":641,"497":642,"498":643,"499":646,"500":650,"501":651,"502":653,"503":654,"504":661,"505":662,"506":669,"507":676,"508":678,"509":679,"510":681,"511":683,"512":685,"513":688,"514":693,"515":695,"516":697,"517":704,"518":706,"519":709,"520":716,"521":721,"522":728,"523":733,"524":736,"525":745,"526":749,"527":751,"528":757,"529":759,"530":764,"531":765,"532":768,"533":770,"534":776,"535":778,"536":782,"537":783,"538":785,"539":787,"540":790,"541":796,"542":797,"543":803,"544":805,"545":806,"546":816,"547":818,"548":824,"549":826,"550":830,"551":834,"552":836,"553":837,"554":841,"555":846,"556":848,"557":851,"558":857,"559":864,"560":874,"561":876,"562":880,"563":894,"564":897,"565":901,"566":906,"567":908,"568":911,"569":914,"570":916,"571":919,"572":921,"573":928,"574":936,"575":939,"576":940,"577":942,"578":946,"580":949,"581":951,"582":954,"583":955,"584":956,"585":957,"586":960,"587":962,"588":971,"589":973,"590":977,"591":983,"592":984,"593":990,"594":1003,"595":1004,"596":1006,"597":1007,"598":1011,"599":1012,"600":1013,"601":1014,"602":1023},{"0":0,"1":2,"2":7,"3":18,"4":22,"5":24,"6":31,"7":45,"8":47,"9":60,"10":84,"11":89,"12":113,"13":116,"14":134,"15":137,"16":148,"17":210,"18":216,"19":226,"20":235,"21":241,"22":273,"23":309,"24":313,"25":336,"26":343,"27":347,"28":351,"29":362,"30":395,"31":413,"32":423,"33":426,"34":427,"35":430,"36":445,"37":447,"38":454,"39":464,"40":474,"41":475,"42":490,"43":494,"44":502,"45":505,"46":512,"47":513,"48":516,"49":518,"50":521,"51":522,"52":524,"53":528,"54":530,"55":534,"56":539,"57":540,"58":541,"59":545,"60":550,"61":553,"62":556,"63":557,"64":568,"65":572,"66":577,"67":581,"68":582,"69":586,"70":588,"71":589,"72":590,"73":591,"74":593,"75":600,"76":602,"77":604,"78":605,"79":617,"80":620,"81":625,"82":626,"83":631,"84":632,"85":639,"86":655,"87":667,"88":677,"89":690,"90":691,"91":692,"92":702,"93":710,"94":713,"95":714,"96":718,"97":725,"98":734,"99":735,"100":740,"101":742,"102":746,"103":748,"104":750,"105":753,"106":769,"107":780,"108":781,"109":784,"110":786,"111":788,"112":793,"114":798,"115":802,"116":807,"118":827,"119":829,"120":832,"121":835,"122":847,"123":849,"124":850,"125":858,"126":863,"127":866,"128":870,"129":875,"130":877,"131":887,"132":889,"133":890,"134":903,"135":904,"136":905,"137":926,"138":932,"139":933,"140":934,"141":963,"142":965,"143":969,"144":972,"145":974,"146":975,"147":976,"148":981,"149":982,"150":992,"151":993,"152":994,"153":998,"154":1008,"155":1009,"156":1015,"157":1017,"158":1018,"159":1019,"160":1020,"161":1022},{"0":32,"1":519,"2":525,"3":533,"4":535,"5":543,"6":549,"7":560,"8":561,"9":580,"10":607,"12":611,"13":618,"14":621,"15":627,"16":648,"17":659,"18":675,"19":682,"20":684,"21":686,"22":687,"23":689,"24":700,"25":705,"26":711,"27":717,"28":719,"29":726,"30":727,"31":729,"32":744,"33":747,"34":752,"35":763,"36":766,"37":767,"38":771,"39":773,"40":774,"41":779,"42":809,"43":811,"46":814,"47":815,"48":817,"49":822,"50":823,"51":838,"52":853,"53":856,"54":860,"55":867,"56":871,"57":879,"58":893,"59":899,"60":900,"61":907,"62":922,"63":925,"64":929,"65":930,"66":931,"67":938,"68":941,"69":948,"70":952,"71":953,"72":959,"73":961,"74":964,"75":986,"76":991,"77":995,"78":1002,"79":1005,"80":1010},{"0":527,"1":546,"2":559,"3":571,"4":574,"5":576,"6":585,"8":598,"9":601,"10":610,"11":623,"12":640,"13":657,"14":663,"15":668,"16":672,"18":696,"19":699,"20":701,"21":707,"22":708,"23":731,"24":739,"25":743,"26":755,"27":758,"29":789,"30":792,"31":795,"32":799,"33":801,"34":808,"35":820,"36":833,"37":839,"38":840,"39":842,"40":854,"41":855,"42":881,"43":885,"44":891,"45":896,"46":902,"47":912,"48":917,"49":920,"50":950,"51":967,"52":968,"53":978,"54":985,"55":987,"57":1000,"58":1021},{"0":514,"1":529,"3":548,"4":552,"5":558,"6":563,"8":603,"9":616,"10":628,"11":630,"12":645,"13":647,"14":658,"15":660,"16":665,"17":670,"19":680,"20":698,"21":724,"22":730,"23":741,"24":754,"25":761,"26":772,"27":775,"28":804,"29":819,"30":825,"31":831,"32":844,"33":852,"34":861,"35":865,"36":868,"37":873,"38":886,"39":924,"40":937,"41":944,"43":966,"44":999},{"0":523,"1":551,"2":569,"3":583,"4":615,"5":633,"7":652,"8":656,"9":666,"10":703,"12":715,"13":720,"14":732,"15":738,"18":791,"19":810,"20":845,"22":878,"23":882,"24":913,"25":918,"26":935,"28":970,"29":979,"30":989,"31":997,"32":1001,"33":1016},{"0":515,"1":555,"2":578,"3":612,"4":613,"5":614,"7":664,"8":694,"9":722,"10":723,"11":756,"12":800,"13":828,"14":862,"15":872,"16":884,"17":888,"18":892,"19":895,"20":898,"21":909,"22":927,"24":988},[531,584,622,737,843,910,923,945],[520,673,869,883],[564,915],[629]]