[{"0":0,"1":2,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":13,"11":15,"12":16,"13":17,"14":18,"15":19,"16":20,"17":22,"18":23,"19":24,"20":25,"21":26,"22":27,"24":29,"25":30,"27":32,"28":33,"29":34,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":47,"42":48,"43":49,"44":50,"46":52,"47":53,"48":54,"49":55,"50":56,"52":59,"53":60,"54":62,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"65":74,"66":75,"67":76,"68":77,"69":78,"70":79,"72":81,"73":83,"74":84,"75":85,"76":86,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":95,"84":96,"85":97,"86":98,"87":99,"88":100,"89":101,"90":103,"91":104,"92":105,"93":106,"94":108,"95":110,"96":111,"97":113,"98":114,"99":115,"100":117,"102":119,"103":120,"104":121,"105":123,"106":124,"107":125,"108":126,"109":127,"110":128,"111":130,"112":131,"113":132,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":140,"121":141,"122":142,"123":143,"124":144,"125":145,"126":146,"127":147,"128":148,"129":149,"130":150,"131":151,"132":152,"133":153,"134":154,"135":155,"136":156,"137":157,"138":158,"139":159,"140":160,"141":161,"142":162,"143":163,"144":164,"145":165,"146":167,"147":169,"148":170,"150":172,"151":174,"152":175,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":182,"160":183,"162":186,"163":187,"164":190,"165":191,"166":192,"167":193,"168":197,"169":198,"170":199,"171":200,"172":201,"173":202,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":209,"181":210,"182":211,"183":212,"184":213,"185":214,"186":215,"187":216,"188":217,"189":219,"190":220,"191":222,"192":224,"193":225,"194":226,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":236,"205":239,"206":241,"207":242,"208":243,"209":244,"210":245,"211":246,"212":247,"213":248,"214":249,"215":251,"216":252,"217":254,"218":255,"220":257,"221":258,"223":260,"224":261,"225":262,"226":264,"227":265,"228":267,"229":268,"231":270,"232":271,"233":272,"234":273,"235":274,"236":277,"237":278,"239":280,"240":281,"241":282,"242":283,"243":284,"244":285,"245":286,"247":289,"248":290,"249":291,"251":293,"252":294,"253":295,"254":296,"255":299,"256":300,"257":301,"258":302,"259":303,"260":304,"261":305,"262":306,"263":307,"264":308,"265":309,"266":310,"267":311,"268":313,"269":314,"270":315,"271":316,"272":317,"273":318,"275":320,"276":321,"277":322,"278":323,"279":324,"280":325,"281":327,"282":328,"283":329,"284":330,"285":331,"286":332,"287":333,"288":334,"289":335,"290":336,"291":337,"292":338,"293":339,"294":340,"295":342,"296":343,"297":344,"298":345,"299":346,"300":347,"301":348,"302":349,"303":350,"304":351,"305":352,"306":353,"307":354,"308":357,"309":358,"310":360,"311":361,"312":362,"313":363,"314":364,"315":365,"316":366,"317":367,"318":368,"319":369,"320":370,"321":372,"322":373,"323":374,"324":375,"325":376,"326":377,"327":378,"328":379,"329":380,"330":381,"331":383,"332":385,"333":387,"334":389,"335":390,"336":391,"337":394,"338":395,"340":398,"341":399,"342":400,"343":402,"344":403,"345":404,"346":405,"347":406,"348":408,"349":409,"350":410,"351":411,"352":412,"353":413,"354":414,"355":415,"356":416,"357":417,"358":419,"359":420,"360":421,"361":422,"362":424,"363":425,"364":426,"366":428,"367":429,"368":430,"369":431,"370":432,"371":433,"372":434,"373":435,"374":436,"375":437,"376":438,"377":439,"378":440,"379":441,"380":442,"381":443,"382":444,"383":445,"384":446,"385":447,"386":448,"387":449,"388":450,"390":452,"391":453,"393":455,"394":456,"395":457,"396":458,"397":459,"398":461,"399":462,"400":463,"401":467,"402":468,"403":469,"404":470,"405":471,"406":472,"407":474,"408":475,"409":476,"410":479,"411":480,"412":481,"413":483,"414":484,"415":485,"416":486,"417":488,"418":489,"419":490,"420":491,"421":492,"422":493,"423":494,"424":495,"425":496,"426":497,"427":498,"428":499,"429":500,"430":501,"431":503,"432":504,"433":505,"434":506,"435":507,"436":508,"437":509,"438":510,"439":511,"440":512,"441":516,"442":518,"443":520,"444":522,"445":524,"446":526,"447":529,"448":530,"449":533,"450":534,"451":535,"452":536,"453":539,"454":541,"455":542,"456":546,"457":547,"458":548,"459":549,"460":550,"461":555,"462":559,"463":564,"464":565,"465":567,"466":568,"467":570,"468":572,"469":575,"470":576,"471":578,"472":582,"473":584,"474":588,"475":597,"476":598,"477":605,"478":606,"479":607,"480":609,"481":610,"482":611,"483":613,"484":614,"485":615,"486":617,"487":619,"488":623,"489":626,"490":627,"491":628,"492":634,"493":637,"494":638,"495":646,"496":648,"497":649,"498":651,"499":652,"500":653,"501":654,"502":657,"503":658,"504":659,"505":663,"506":665,"507":671,"508":672,"509":673,"510":674,"511":675,"512":676,"513":678,"514":679,"515":681,"516":683,"517":687,"518":689,"519":690,"520":694,"521":697,"522":698,"523":699,"524":701,"525":703,"526":705,"527":706,"528":707,"529":711,"530":712,"531":713,"532":715,"533":717,"534":718,"535":719,"536":720,"537":721,"538":723,"539":726,"540":728,"541":729,"542":730,"543":732,"544":734,"545":735,"546":736,"547":737,"548":738,"549":739,"550":740,"551":743,"552":744,"553":745,"554":754,"555":755,"556":757,"557":759,"558":760,"559":763,"560":764,"561":766,"562":767,"563":768,"564":776,"565":778,"566":779,"567":780,"568":783,"569":785,"570":788,"571":789,"573":794,"574":796,"575":798,"576":799,"577":802,"578":807,"579":808,"580":809,"581":810,"582":815,"583":818,"584":819,"585":820,"586":824,"587":825,"588":826,"589":827,"590":828,"591":829,"592":836,"593":837,"594":839,"595":841,"596":842,"597":847,"598":848,"599":852,"600":855,"601":856,"602":861,"603":862,"604":863,"605":866,"606":867,"607":869,"608":870,"609":872,"610":874,"611":875,"612":877,"613":878,"614":879,"615":880,"616":882,"617":884,"618":888,"619":889,"620":890,"621":891,"622":896,"623":897,"624":901,"625":902,"626":909,"627":910,"628":911,"629":913,"630":916,"631":919,"632":920,"633":925,"634":926,"635":930,"636":932,"637":933,"638":938,"639":940,"640":944,"641":946,"642":948,"643":949,"644":951,"645":952,"646":954,"647":958,"648":959,"649":963,"650":964,"651":965,"652":967,"653":970,"654":972,"655":974,"656":975,"657":977,"658":979,"659":985,"660":986,"661":990,"662":991,"663":993,"664":995,"665":996,"666":999,"667":1000,"668":1001,"669":1002,"670":1003,"671":1006,"672":1007,"673":1008,"674":1010,"675":1011,"676":1014,"677":1016,"678":1018,"679":1019,"680":1020,"681":1022,"682":1023},{"0":1,"1":11,"2":12,"3":14,"4":21,"5":46,"6":57,"7":63,"8":82,"9":87,"10":94,"11":102,"12":107,"13":109,"14":112,"15":116,"16":122,"17":129,"18":166,"19":168,"20":173,"21":184,"22":188,"23":189,"24":194,"25":195,"26":196,"27":218,"28":221,"29":223,"30":237,"31":238,"32":250,"33":253,"34":263,"35":266,"36":275,"37":276,"38":287,"39":297,"40":298,"41":312,"42":326,"43":341,"44":355,"45":356,"46":359,"47":371,"48":382,"49":386,"50":392,"51":393,"52":396,"53":401,"54":407,"55":418,"56":423,"57":464,"58":465,"59":466,"60":473,"61":478,"62":482,"63":487,"64":502,"65":513,"66":514,"67":515,"68":517,"69":519,"70":523,"71":527,"72":528,"73":531,"74":532,"75":537,"76":538,"77":540,"78":545,"79":551,"80":552,"81":554,"82":556,"83":560,"84":561,"85":562,"86":563,"87":569,"88":574,"89":577,"90":581,"91":583,"92":585,"93":586,"94":591,"95":593,"96":594,"97":596,"98":602,"99":603,"100":608,"101":621,"102":629,"103":632,"104":633,"105":639,"106":640,"107":644,"108":645,"109":650,"110":656,"111":661,"112":664,"113":668,"114":669,"115":677,"116":682,"117":684,"118":686,"119":688,"120":691,"121":693,"122":696,"123":700,"124":702,"125":716,"126":722,"128":727,"129":733,"130":741,"131":742,"132":746,"133":747,"134":749,"135":751,"136":756,"137":758,"138":761,"139":762,"140":770,"141":773,"142":775,"143":781,"144":782,"145":784,"146":787,"147":792,"148":800,"149":801,"150":803,"151":805,"152":806,"153":811,"154":812,"155":813,"156":814,"158":822,"159":823,"160":832,"161":833,"162":834,"163":835,"164":838,"165":840,"166":843,"167":846,"168":849,"169":853,"170":854,"171":857,"172":859,"173":871,"174":881,"175":883,"176":885,"177":887,"178":895,"179":898,"180":899,"181":904,"182":905,"183":907,"184":912,"185":915,"186":921,"187":924,"188":935,"189":936,"190":937,"191":941,"192":942,"193":947,"194":950,"195":956,"196":961,"197":966,"198":971,"199":973,"200":978,"201":980,"202":987,"203":988,"204":994,"205":997,"206":998,"207":1004,"208":1005,"209":1012,"211":1015,"212":1017},{"0":61,"1":133,"2":240,"3":384,"4":388,"5":460,"6":477,"7":521,"8":557,"9":566,"10":571,"11":589,"12":590,"13":599,"14":600,"15":601,"16":612,"17":622,"18":625,"19":630,"20":631,"22":643,"23":660,"24":662,"25":667,"26":680,"27":692,"28":695,"29":708,"30":710,"31":724,"32":731,"33":748,"34":750,"35":752,"36":765,"37":769,"38":771,"39":772,"40":777,"41":793,"42":795,"43":804,"44":816,"45":830,"46":831,"47":850,"48":858,"50":868,"51":876,"52":892,"53":900,"54":908,"55":914,"56":922,"58":929,"59":931,"60":943,"61":945,"62":957,"63":982,"64":983,"65":984,"66":1009},{"0":543,"1":544,"2":579,"3":587,"5":595,"6":604,"7":618,"8":624,"9":635,"10":642,"11":670,"12":685,"13":709,"14":844,"15":845,"16":864,"17":865,"18":886,"19":893,"20":894,"21":903,"22":917,"23":923,"24":939,"25":953,"26":960,"27":968},{"0":580,"1":616,"2":641,"4":655,"6":753,"7":790,"8":851,"9":918,"10":934,"12":969},{"6":873,"7":906},{"0":704,"2":786,"3":821,"4":928,"5":976},[],[]]