[{"0":0,"1":1,"2":2,"4":4,"5":5,"6":6,"7":7,"9":9,"10":10,"11":11,"13":13,"15":15,"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":37,"37":39,"38":40,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":54,"52":55,"53":56,"54":57,"56":59,"57":60,"58":61,"59":62,"60":63,"61":64,"62":65,"63":66,"64":67,"65":68,"66":69,"67":70,"68":71,"70":73,"71":74,"72":75,"73":76,"74":77,"76":79,"77":80,"78":81,"79":82,"81":84,"83":86,"84":87,"86":89,"87":90,"93":96,"94":97,"97":100,"98":101,"99":102,"100":103,"101":104,"102":105,"103":106,"104":107,"105":108,"106":109,"107":111,"108":112,"109":113,"110":114,"111":115,"116":121,"117":122,"118":123,"119":124,"120":126,"121":127,"122":128,"123":129,"125":131,"127":133,"128":134,"132":138,"133":139,"134":140,"135":141,"136":142,"138":144,"139":145,"140":146,"141":147,"142":148,"143":149,"144":150,"146":152,"148":154,"151":157,"153":159,"154":160,"155":161,"160":166,"161":168,"162":170,"165":173,"166":174,"169":177,"170":178,"172":180,"173":181,"174":182,"175":183,"176":184,"179":187,"180":188,"181":189,"183":191,"184":192,"185":193,"186":194,"187":195,"188":196,"189":197,"190":198,"191":199,"193":201,"194":203,"195":204,"196":205,"197":206,"198":207,"200":209,"201":210,"202":211,"203":212,"204":213,"205":214,"206":215,"207":217,"208":218,"209":219,"210":220,"211":221,"212":222,"213":225,"214":226,"216":228,"218":231,"219":232,"220":233,"221":234,"222":235,"223":236,"224":237,"225":238,"226":239,"227":240,"228":241,"229":242,"230":243,"231":244,"232":245,"233":246,"234":247,"235":248,"236":249,"237":250,"238":251,"239":252,"240":253,"241":254,"242":256,"244":258,"245":260,"247":262,"249":264,"251":267,"252":268,"253":269,"254":270,"257":273,"258":275,"259":276,"260":277,"261":278,"262":279,"263":280,"265":282,"272":289,"277":294,"280":297,"282":299,"283":300,"284":301,"285":302,"286":303,"287":304,"288":305,"289":306,"291":308,"292":309,"294":311,"296":313,"297":314,"298":315,"300":317,"301":318,"302":319,"303":320,"304":321,"309":327,"310":328,"311":329,"314":332,"315":334,"317":336,"319":338,"322":341,"323":342,"324":343,"326":345,"327":346,"328":347,"329":348,"330":349,"332":351,"334":353,"335":354,"336":355,"337":356,"338":357,"340":359,"341":360,"342":361,"343":362,"344":363,"345":364,"346":365,"347":366,"348":367,"349":369,"350":370,"351":371,"352":372,"355":375,"356":376,"359":379,"361":381,"362":382,"363":383,"364":384,"366":386,"367":387,"368":388,"369":389,"370":390,"372":392,"374":395,"375":396,"376":397,"377":398,"380":401,"381":402,"382":403,"384":405,"387":408,"388":409,"389":410,"390":411,"391":412,"392":413,"393":414,"394":415,"395":416,"396":417,"398":419,"399":420,"400":421,"401":423,"402":424,"403":426,"404":428,"407":431,"408":432,"409":433,"410":434,"412":436,"414":438,"415":440,"416":441,"417":442,"418":443,"419":444,"421":446,"422":448,"423":449,"424":450,"425":451,"426":452,"427":453,"428":454,"429":455,"432":458,"435":461,"436":462,"437":463,"438":464,"439":465,"442":468,"443":469,"444":471,"445":472,"446":473,"447":474,"448":475,"449":476,"450":477,"451":478,"453":480,"454":481,"455":482,"456":483,"457":484,"458":485,"459":486,"460":487,"461":488,"462":489,"463":490,"464":491,"465":492,"466":493,"467":494,"469":497,"470":498,"472":501,"473":502,"474":503,"475":504,"476":505,"477":506,"478":507,"480":509,"481":510,"482":511,"483":513,"484":517,"486":523,"487":527,"488":534,"489":535,"490":537,"491":546,"492":553,"493":558,"494":563,"495":569,"496":572,"497":573,"498":574,"499":576,"500":578,"501":580,"502":581,"503":582,"504":586,"505":588,"506":593,"507":594,"508":595,"509":600,"511":604,"512":609,"513":610,"514":611,"515":613,"516":615,"517":618,"518":624,"519":626,"520":629,"521":630,"522":633,"523":634,"524":637,"525":640,"526":641,"528":645,"529":649,"530":650,"531":652,"532":659,"533":660,"534":667,"535":670,"536":672,"537":673,"538":674,"539":679,"540":686,"541":692,"542":700,"543":701,"544":702,"545":705,"546":712,"547":720,"548":722,"549":724,"550":731,"551":733,"552":735,"553":738,"554":740,"555":741,"556":746,"558":761,"559":767,"560":770,"562":772,"563":773,"564":776,"565":779,"566":780,"567":781,"568":783,"569":788,"570":793,"571":799,"572":802,"573":810,"574":819,"575":820,"576":821,"577":832,"578":833,"579":845,"580":847,"581":850,"582":851,"584":856,"585":858,"586":859,"587":861,"588":862,"589":866,"590":871,"591":879,"592":880,"593":882,"594":883,"595":889,"596":891,"597":897,"598":899,"599":903,"600":904,"601":905,"602":907,"603":909,"604":912,"605":915,"606":917,"607":921,"608":925,"609":926,"610":934,"611":936,"612":937,"613":939,"614":942,"615":948,"617":955,"618":958,"619":959,"620":960,"621":965,"622":967,"623":974,"624":976,"625":983,"626":984,"627":985,"628":986,"629":987,"630":989,"631":996,"632":999,"633":1003,"634":1004,"635":1007,"636":1013},{"0":35,"1":36,"2":53,"3":110,"4":120,"5":125,"6":167,"7":169,"8":202,"9":216,"10":223,"11":224,"12":230,"13":255,"14":259,"15":266,"16":274,"17":326,"18":333,"19":368,"20":393,"21":422,"22":425,"23":427,"24":439,"25":447,"26":470,"27":496,"28":500,"29":518,"30":520,"31":525,"32":529,"33":530,"34":532,"35":533,"36":541,"37":542,"38":544,"39":548,"40":555,"41":562,"42":566,"43":567,"44":570,"45":577,"46":579,"47":587,"49":605,"50":606,"51":619,"52":631,"53":635,"54":636,"55":639,"56":646,"57":648,"58":651,"59":653,"60":656,"61":657,"62":661,"63":665,"64":668,"65":675,"66":676,"67":682,"68":689,"69":691,"70":693,"71":696,"72":699,"73":703,"74":713,"75":717,"76":725,"77":734,"78":737,"79":743,"82":751,"83":753,"84":756,"85":759,"86":762,"87":769,"88":774,"89":785,"90":790,"91":794,"92":796,"94":798,"95":801,"96":803,"98":808,"99":816,"100":817,"101":822,"102":827,"103":830,"104":831,"105":836,"106":838,"107":839,"108":843,"109":844,"110":852,"111":854,"112":865,"113":867,"114":870,"116":875,"117":877,"118":886,"119":887,"120":888,"121":892,"122":894,"123":901,"124":906,"125":908,"126":911,"127":919,"128":928,"129":929,"130":933,"131":935,"132":941,"133":943,"134":944,"135":949,"136":950,"138":956,"139":962,"140":971,"141":972,"142":973,"143":978,"144":981,"146":991,"147":993,"148":997,"149":1001,"151":1005,"152":1006,"153":1008,"154":1010,"155":1015,"156":1019,"157":1021,"158":1022,"159":1023},{"0":514,"1":516,"2":549,"3":557,"4":583,"5":596,"6":601,"7":603,"8":614,"9":621,"10":628,"11":664,"12":671,"13":677,"14":684,"15":687,"16":690,"17":695,"18":707,"20":711,"21":714,"22":719,"23":721,"25":728,"26":732,"27":736,"28":765,"29":782,"30":805,"32":809,"33":814,"34":828,"35":849,"36":860,"37":896,"38":898,"40":927,"41":931,"43":945,"46":966,"47":968,"48":970,"49":975,"50":992,"51":995,"52":1000},{"1":590,"3":663,"5":704,"7":747,"8":749,"9":760,"11":795,"12":812,"13":818,"14":835,"15":846,"16":853,"18":884,"19":930,"20":932,"21":980},{"0":536,"3":620,"4":654,"5":655,"8":708},{"1":526,"5":730,"14":1017},{"1":616,"3":658},{"4":811,"7":890},{"6":789,"8":998},[],[],[],[],[],[],[],[],[],[],[],[],[],[]]