[{"0":0,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":49,"47":50,"48":51,"49":52,"50":53,"51":56,"52":57,"53":58,"54":59,"55":60,"56":62,"57":63,"58":65,"59":66,"60":67,"61":68,"62":70,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":78,"70":81,"71":82,"72":84,"73":85,"74":87,"75":88,"76":89,"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":104,"90":105,"91":106,"92":107,"93":108,"94":109,"95":110,"96":112,"97":113,"98":114,"99":115,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":123,"107":124,"108":125,"110":127,"111":128,"112":129,"113":130,"114":132,"115":133,"116":134,"117":135,"118":136,"119":137,"120":138,"121":139,"122":140,"123":141,"124":142,"125":143,"126":144,"127":145,"128":146,"129":147,"130":148,"131":149,"132":150,"133":151,"134":152,"135":153,"136":155,"137":156,"138":157,"139":158,"140":160,"141":161,"142":162,"143":164,"144":165,"145":166,"146":167,"147":168,"148":169,"149":170,"151":172,"152":173,"153":174,"154":175,"156":177,"157":178,"158":179,"161":182,"162":183,"164":185,"165":186,"166":187,"167":188,"168":189,"169":190,"170":193,"171":194,"172":195,"173":196,"174":197,"175":199,"176":200,"177":201,"178":202,"179":203,"180":204,"181":205,"182":206,"183":207,"184":208,"185":209,"186":210,"187":211,"188":212,"189":213,"190":215,"191":216,"192":219,"193":220,"194":221,"195":222,"196":223,"197":225,"198":227,"199":228,"200":229,"201":231,"202":232,"203":233,"204":234,"205":235,"206":236,"207":237,"208":238,"209":240,"210":241,"211":243,"212":244,"213":245,"214":246,"215":249,"216":250,"217":251,"218":252,"219":253,"220":254,"221":256,"222":257,"223":258,"224":259,"225":260,"226":261,"227":262,"228":263,"229":264,"230":265,"231":266,"232":268,"233":269,"234":270,"236":272,"237":273,"238":274,"239":275,"240":276,"241":277,"242":278,"243":279,"244":280,"245":281,"246":282,"247":283,"248":284,"249":285,"250":286,"251":287,"252":288,"253":290,"254":291,"255":292,"256":293,"257":294,"258":295,"259":296,"260":298,"261":299,"262":301,"263":302,"264":303,"265":304,"266":305,"267":306,"268":309,"269":310,"270":311,"272":314,"273":315,"274":316,"275":317,"276":318,"277":319,"278":320,"279":321,"280":322,"281":323,"282":324,"283":325,"284":326,"285":327,"286":328,"287":331,"288":332,"290":334,"291":335,"292":336,"293":337,"294":338,"295":339,"296":340,"297":341,"298":342,"299":343,"300":344,"301":346,"302":347,"303":348,"304":349,"305":350,"306":351,"307":352,"308":353,"309":354,"310":355,"311":356,"312":357,"313":358,"314":359,"315":360,"316":361,"317":362,"318":363,"319":364,"320":365,"321":367,"322":368,"323":369,"324":370,"325":371,"326":372,"327":373,"328":375,"329":376,"330":377,"331":378,"332":379,"333":381,"334":382,"335":383,"336":384,"337":385,"338":386,"339":387,"340":388,"341":389,"342":391,"343":392,"344":394,"345":395,"346":396,"347":398,"348":399,"349":400,"350":401,"351":402,"352":403,"353":404,"354":405,"355":406,"356":407,"357":408,"358":409,"359":411,"360":412,"361":413,"362":414,"363":415,"364":416,"365":417,"366":418,"367":419,"368":420,"369":421,"370":422,"371":426,"373":428,"374":429,"375":431,"376":433,"377":434,"378":435,"379":436,"380":437,"382":439,"383":441,"384":442,"385":443,"386":444,"387":445,"388":446,"389":447,"390":449,"391":451,"392":452,"393":453,"394":454,"395":455,"396":456,"397":458,"398":459,"399":460,"400":461,"401":462,"402":463,"403":464,"404":465,"405":466,"406":467,"407":468,"408":469,"409":470,"410":471,"411":472,"412":473,"413":474,"414":475,"415":476,"416":477,"417":478,"418":479,"419":480,"420":482,"421":483,"422":485,"423":486,"424":487,"425":488,"426":489,"427":491,"428":493,"429":494,"430":495,"431":496,"432":498,"433":499,"434":500,"435":501,"436":502,"437":503,"438":505,"439":506,"440":507,"441":508,"442":509,"443":510,"444":511,"445":513,"446":518,"447":521,"448":522,"449":524,"450":526,"451":527,"452":532,"453":538,"454":540,"455":542,"456":550,"457":554,"458":559,"459":560,"460":564,"461":565,"462":566,"463":569,"464":571,"465":579,"466":580,"467":584,"468":586,"469":587,"470":589,"471":592,"472":595,"473":599,"474":600,"475":601,"476":602,"477":608,"478":614,"479":615,"480":616,"481":618,"482":624,"483":628,"484":630,"485":635,"486":636,"487":637,"488":642,"489":643,"490":645,"491":646,"492":647,"493":659,"494":660,"495":662,"496":665,"497":666,"498":669,"499":670,"500":671,"501":673,"502":678,"503":681,"504":683,"505":685,"506":688,"507":689,"508":690,"509":692,"510":694,"511":698,"512":700,"513":704,"514":709,"515":712,"516":718,"517":724,"518":727,"519":733,"521":740,"522":742,"523":743,"524":745,"525":747,"526":751,"527":756,"528":757,"529":760,"530":762,"531":763,"532":766,"533":768,"534":769,"535":771,"536":772,"537":774,"538":777,"539":781,"540":783,"541":788,"542":798,"543":801,"544":803,"545":804,"546":806,"547":807,"548":810,"549":815,"550":818,"551":819,"552":824,"553":828,"554":829,"555":830,"556":832,"557":837,"558":839,"559":840,"560":848,"561":852,"562":856,"563":860,"564":861,"565":862,"566":864,"567":865,"568":867,"569":869,"570":870,"571":871,"572":877,"573":879,"574":882,"575":883,"576":887,"577":890,"578":895,"579":899,"580":900,"581":902,"582":912,"583":917,"584":919,"585":929,"586":931,"587":932,"588":933,"589":936,"590":941,"591":943,"592":945,"593":947,"594":948,"595":949,"596":950,"597":958,"598":960,"599":964,"600":970,"601":975,"602":976,"603":977,"604":979,"605":980,"606":984,"607":990,"608":991,"609":996,"610":999,"611":1002,"612":1004,"613":1005,"614":1006,"615":1012,"616":1013,"617":1014,"618":1017,"619":1022},{"0":1,"1":9,"2":48,"3":54,"4":55,"5":61,"6":64,"7":69,"8":71,"9":79,"10":80,"11":83,"12":86,"13":102,"14":103,"15":111,"16":116,"17":131,"18":154,"19":159,"20":163,"21":191,"22":192,"23":198,"24":214,"25":217,"26":218,"27":224,"28":226,"29":230,"30":242,"31":247,"32":248,"33":255,"34":267,"35":289,"36":297,"37":300,"38":307,"39":308,"40":313,"41":329,"42":330,"43":345,"44":366,"45":374,"46":380,"47":390,"48":393,"49":397,"50":410,"51":423,"52":424,"53":425,"54":430,"55":432,"56":440,"57":448,"58":450,"59":457,"60":481,"61":484,"62":490,"63":492,"64":497,"65":504,"66":514,"67":516,"68":523,"69":529,"70":531,"71":534,"72":537,"73":545,"74":549,"75":553,"76":555,"77":557,"78":558,"79":563,"80":570,"81":572,"82":573,"83":577,"84":578,"85":581,"86":582,"87":585,"88":590,"89":591,"90":593,"91":603,"92":604,"93":605,"94":606,"95":610,"96":612,"97":619,"98":621,"99":631,"100":632,"101":634,"102":638,"103":639,"104":641,"105":644,"106":650,"107":653,"108":654,"109":657,"110":663,"111":667,"112":668,"113":674,"114":676,"115":680,"116":682,"117":691,"118":693,"119":697,"120":699,"121":706,"122":707,"123":708,"124":711,"125":714,"126":715,"127":717,"128":720,"129":723,"130":731,"131":734,"132":737,"133":739,"134":744,"135":746,"136":749,"137":750,"138":754,"139":755,"140":759,"141":761,"142":764,"143":776,"144":779,"145":780,"146":787,"147":789,"148":790,"149":792,"150":796,"151":800,"152":802,"153":808,"154":811,"155":813,"156":817,"157":821,"158":822,"159":823,"160":825,"161":831,"162":833,"163":835,"164":843,"165":845,"166":846,"167":849,"168":850,"169":855,"170":857,"171":859,"172":866,"173":868,"174":872,"175":874,"176":885,"177":888,"178":891,"179":892,"180":894,"181":896,"182":897,"183":898,"184":901,"185":903,"187":906,"188":907,"189":909,"190":914,"191":920,"192":926,"193":934,"194":937,"195":939,"196":940,"197":942,"198":953,"199":954,"200":955,"201":956,"202":962,"203":966,"204":967,"205":968,"206":971,"207":972,"208":974,"209":978,"210":982,"211":983,"212":985,"213":989,"214":1000,"215":1003,"216":1008,"217":1016,"218":1023},{"0":239,"1":517,"2":519,"3":525,"4":530,"5":533,"6":536,"7":539,"8":541,"9":543,"10":551,"11":552,"12":568,"13":574,"14":583,"15":594,"16":597,"17":598,"18":609,"19":613,"20":625,"21":633,"22":640,"23":648,"24":655,"25":661,"26":679,"28":687,"29":695,"30":702,"31":705,"32":716,"33":722,"34":736,"35":738,"37":753,"38":758,"39":765,"40":767,"41":770,"42":784,"43":785,"44":794,"45":797,"46":799,"47":805,"48":809,"49":816,"51":841,"52":854,"54":878,"55":880,"56":884,"57":886,"58":889,"59":908,"60":911,"61":915,"62":916,"63":918,"64":922,"65":924,"66":925,"67":930,"68":946,"69":952,"70":957,"71":959,"72":963,"73":965,"74":973,"75":986,"76":992,"77":993,"78":994,"79":997,"80":1001,"81":1009,"82":1011,"83":1015,"84":1020,"85":1021},{"0":512,"1":515,"2":535,"3":544,"4":547,"5":556,"6":562,"7":576,"8":607,"11":651,"12":656,"13":672,"15":677,"16":710,"17":726,"18":729,"19":732,"20":778,"21":786,"22":795,"23":812,"24":826,"25":827,"26":834,"27":838,"28":842,"29":858,"30":881,"31":910,"32":913,"33":923,"34":951,"35":969,"37":987,"38":998,"39":1018},{"0":520,"1":528,"2":546,"3":548,"5":611,"6":652,"8":696,"9":713,"11":730,"12":741,"13":752,"14":775,"15":782,"16":791,"17":793,"18":814,"19":853,"20":873,"22":921,"23":927,"24":938,"26":961,"27":988,"28":1007,"29":1010},{"0":567,"3":622,"5":721,"6":728,"7":847,"9":893},{"2":686,"4":773},[],[],[]]