[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"10":13,"12":15,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"31":34,"32":35,"33":36,"34":37,"35":38,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"54":57,"55":58,"56":59,"57":60,"58":62,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"68":73,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":86,"83":88,"84":89,"85":90,"86":91,"87":92,"88":93,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"95":101,"96":102,"97":103,"98":104,"99":105,"100":106,"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":120,"115":121,"116":122,"117":123,"118":124,"120":126,"121":128,"122":129,"123":130,"124":131,"125":133,"126":134,"128":136,"129":137,"130":139,"131":140,"132":141,"133":142,"134":143,"135":144,"136":145,"137":146,"139":148,"140":149,"141":150,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"148":157,"149":158,"150":159,"151":160,"152":161,"153":162,"154":163,"155":164,"156":165,"157":166,"158":167,"159":168,"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,"175":185,"176":186,"177":187,"178":188,"179":189,"180":190,"181":191,"182":192,"183":193,"185":195,"186":196,"187":197,"189":199,"190":200,"191":201,"193":203,"194":204,"195":205,"196":206,"197":207,"198":208,"200":210,"202":213,"203":214,"204":215,"206":217,"207":218,"208":219,"209":220,"210":221,"211":222,"213":224,"214":225,"215":226,"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,"245":257,"247":259,"248":260,"249":261,"250":262,"251":263,"252":264,"253":265,"254":266,"256":268,"257":269,"258":270,"259":271,"260":272,"261":273,"262":275,"264":277,"265":278,"266":280,"267":281,"268":282,"270":284,"271":285,"272":286,"273":287,"274":288,"276":290,"277":291,"279":293,"280":294,"281":295,"282":296,"283":297,"284":298,"285":299,"286":300,"287":301,"288":302,"289":303,"290":304,"291":305,"292":306,"293":307,"294":308,"295":309,"296":311,"297":312,"298":313,"299":314,"302":317,"303":318,"305":320,"306":321,"308":323,"309":324,"310":325,"311":326,"312":327,"314":329,"315":330,"316":331,"317":332,"318":333,"319":334,"320":335,"321":336,"322":337,"323":338,"324":339,"326":341,"327":342,"329":344,"331":346,"332":347,"333":348,"334":349,"335":350,"336":351,"337":352,"338":353,"339":354,"340":355,"341":356,"342":357,"343":358,"344":359,"345":360,"346":361,"347":362,"348":363,"349":364,"350":365,"351":366,"352":367,"353":368,"354":369,"355":370,"356":371,"357":372,"358":373,"359":374,"360":375,"361":376,"362":377,"364":379,"366":381,"367":382,"368":383,"369":384,"370":385,"372":387,"373":388,"374":389,"375":390,"377":392,"378":393,"379":394,"380":395,"381":396,"382":397,"383":398,"384":399,"385":400,"386":401,"387":402,"388":403,"389":404,"391":406,"392":407,"393":408,"394":409,"395":410,"396":411,"397":412,"398":413,"399":414,"401":416,"402":417,"403":418,"404":419,"405":420,"406":421,"407":422,"409":424,"410":425,"411":426,"412":427,"413":428,"414":429,"415":430,"416":432,"417":434,"418":435,"419":436,"420":438,"422":440,"423":441,"424":442,"425":443,"426":445,"427":446,"428":447,"429":448,"430":449,"431":450,"432":451,"433":452,"434":453,"435":454,"436":455,"437":456,"438":457,"440":459,"441":460,"442":461,"443":462,"444":463,"445":464,"446":465,"447":466,"448":467,"449":468,"450":469,"451":470,"452":471,"453":472,"454":473,"455":474,"456":475,"457":476,"460":479,"461":480,"462":481,"463":482,"464":483,"465":485,"466":486,"467":487,"468":488,"469":489,"470":490,"471":491,"472":492,"473":493,"474":494,"475":495,"476":496,"477":497,"478":498,"479":499,"480":500,"481":501,"482":503,"483":504,"484":505,"485":506,"486":507,"487":508,"488":509,"489":510,"490":511,"491":512,"492":518,"493":519,"494":523,"495":525,"496":526,"497":528,"498":529,"499":530,"500":531,"501":532,"502":538,"503":544,"504":545,"505":552,"506":553,"507":554,"508":555,"509":562,"510":563,"511":565,"512":571,"514":575,"515":576,"516":579,"517":580,"518":581,"519":587,"520":589,"521":590,"522":591,"523":592,"524":593,"525":597,"526":604,"527":609,"528":610,"529":614,"530":615,"531":617,"532":620,"533":623,"534":625,"535":626,"536":629,"537":632,"538":636,"539":639,"540":645,"541":646,"542":651,"543":655,"544":658,"545":661,"546":662,"547":669,"548":672,"549":673,"550":678,"551":679,"552":681,"553":685,"554":687,"555":689,"556":690,"557":691,"558":696,"559":699,"560":703,"561":709,"562":711,"563":713,"564":714,"565":717,"566":724,"567":726,"568":733,"569":735,"570":736,"571":739,"572":743,"573":745,"574":746,"575":748,"576":749,"577":757,"578":770,"579":771,"580":772,"581":773,"582":775,"583":776,"584":777,"585":778,"586":780,"587":782,"588":783,"589":784,"590":789,"591":793,"592":795,"593":800,"594":806,"595":809,"596":811,"597":812,"598":824,"599":826,"600":831,"601":835,"602":837,"604":850,"605":853,"606":855,"607":856,"608":858,"609":860,"610":861,"611":873,"612":876,"613":877,"614":878,"615":880,"616":883,"617":887,"618":889,"619":893,"620":896,"621":898,"622":903,"623":904,"624":910,"625":913,"626":914,"627":915,"628":923,"629":928,"630":932,"631":935,"632":936,"633":937,"634":939,"635":945,"636":947,"637":951,"638":952,"639":953,"640":955,"641":957,"642":961,"643":965,"644":967,"645":972,"646":973,"647":975,"648":977,"649":982,"650":986,"651":987,"652":988,"653":991,"654":994,"655":996,"656":1005,"657":1008,"658":1009,"659":1010,"661":1015,"662":1017,"663":1019,"664":1022},{"0":6,"1":10,"2":12,"3":61,"4":72,"5":94,"6":127,"7":132,"8":138,"9":169,"10":212,"11":227,"12":274,"14":310,"15":431,"16":433,"17":437,"18":444,"19":484,"20":502,"21":513,"22":515,"23":521,"24":533,"25":534,"26":537,"27":541,"28":548,"29":550,"30":551,"31":557,"32":558,"33":559,"34":560,"35":566,"36":572,"37":582,"38":584,"39":586,"40":588,"41":595,"43":601,"44":603,"45":605,"46":606,"47":608,"48":611,"49":616,"50":621,"51":628,"52":630,"53":631,"54":633,"55":634,"56":635,"57":638,"58":640,"59":641,"60":642,"61":643,"62":647,"63":648,"64":649,"65":653,"66":657,"67":660,"68":664,"69":665,"70":666,"71":667,"72":670,"73":671,"74":683,"75":684,"76":692,"77":693,"78":700,"79":702,"80":705,"81":706,"82":707,"84":712,"85":716,"86":721,"87":725,"88":727,"89":728,"90":731,"91":732,"92":737,"94":747,"95":750,"96":752,"97":753,"98":754,"99":756,"100":759,"101":760,"102":763,"103":766,"104":767,"105":774,"106":786,"107":794,"109":797,"111":799,"112":801,"113":802,"114":803,"115":804,"116":813,"117":815,"118":817,"119":819,"120":821,"121":822,"122":829,"123":840,"124":841,"125":844,"126":846,"127":849,"128":851,"129":857,"130":859,"131":863,"132":864,"133":870,"134":871,"135":874,"136":875,"137":884,"138":885,"139":886,"140":890,"141":891,"142":892,"143":894,"144":899,"145":900,"146":902,"147":906,"148":909,"149":912,"150":917,"151":918,"152":931,"153":934,"154":940,"155":941,"156":942,"158":946,"159":948,"160":949,"161":956,"162":959,"163":960,"164":962,"165":963,"166":974,"167":978,"169":980,"170":981,"171":985,"172":990,"173":992,"174":993,"175":997,"176":998,"177":1001,"178":1003,"179":1006,"180":1007,"181":1012,"182":1014,"183":1016,"184":1018,"185":1020},{"0":522,"1":542,"2":547,"3":556,"4":561,"5":564,"6":567,"7":569,"8":570,"9":574,"10":577,"11":594,"12":596,"13":599,"14":613,"15":622,"16":627,"17":637,"18":652,"19":668,"20":674,"21":676,"22":677,"23":682,"24":694,"25":697,"26":698,"27":704,"28":723,"29":730,"30":734,"31":744,"32":751,"33":768,"34":769,"35":787,"36":807,"37":818,"38":823,"39":830,"40":836,"41":845,"43":862,"44":866,"45":867,"46":868,"47":869,"48":879,"49":881,"50":888,"51":897,"52":907,"54":930,"55":933,"56":938,"57":943,"58":954,"59":964,"60":968,"61":969,"62":989,"63":995,"64":1002,"65":1021},{"0":517,"1":520,"2":543,"3":546,"4":578,"5":585,"6":612,"7":659,"8":675,"9":680,"10":686,"11":695,"12":718,"13":720,"14":722,"16":738,"17":740,"19":758,"20":805,"21":820,"23":839,"24":848,"26":895,"27":911,"28":919,"29":920,"31":927,"32":929,"33":970,"34":1023},{"0":527,"1":535,"2":568,"3":624,"4":654,"5":656,"7":761,"8":781,"9":828,"11":847,"12":882,"13":921,"14":924,"16":1000,"17":1004},[516,524,536,539,549,650,762,790,810,901,905,916,976],{"0":514,"1":598,"4":779,"6":816,"7":827,"8":950,"9":984},{"0":602,"4":808,"6":1013},{"2":764,"6":865},[],[]]