[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"7":7,"8":8,"9":9,"10":10,"12":12,"14":14,"15":15,"16":16,"17":17,"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":35,"36":36,"37":37,"38":38,"39":39,"41":41,"43":43,"44":44,"45":45,"46":46,"47":47,"48":48,"49":49,"50":50,"51":51,"53":53,"54":54,"55":55,"56":56,"57":57,"58":58,"59":59,"60":60,"61":61,"62":62,"63":63,"64":64,"65":65,"66":66,"67":67,"68":68,"69":69,"70":70,"71":71,"72":72,"75":75,"76":76,"77":77,"78":78,"79":79,"80":80,"81":81,"82":82,"83":83,"84":84,"85":85,"87":87,"89":90,"91":92,"92":93,"94":96,"95":97,"98":100,"99":101,"100":102,"101":103,"102":104,"103":105,"104":106,"105":107,"106":108,"107":109,"108":111,"109":112,"110":113,"111":114,"112":115,"113":116,"114":117,"115":118,"116":119,"117":120,"118":121,"119":122,"121":124,"122":125,"123":126,"124":127,"125":128,"126":129,"127":130,"128":131,"129":132,"130":133,"131":134,"132":135,"133":136,"134":137,"135":138,"136":139,"138":142,"139":143,"140":144,"141":146,"142":148,"144":150,"145":151,"146":152,"147":153,"148":154,"149":155,"150":156,"151":157,"152":158,"153":159,"154":160,"156":162,"157":163,"158":164,"159":165,"161":167,"162":168,"163":170,"164":171,"165":172,"166":173,"167":174,"168":175,"169":176,"170":177,"171":178,"173":180,"174":181,"175":182,"176":183,"177":184,"178":186,"179":187,"180":188,"181":189,"184":192,"185":193,"186":194,"187":195,"188":197,"189":198,"190":199,"191":200,"192":201,"193":202,"194":203,"195":204,"196":205,"197":206,"198":207,"199":208,"200":209,"201":210,"202":211,"203":212,"204":213,"205":214,"206":215,"207":216,"208":217,"209":218,"210":219,"211":220,"212":221,"213":222,"214":223,"215":224,"216":225,"218":227,"219":228,"220":229,"221":231,"222":232,"223":235,"224":236,"225":237,"226":238,"227":239,"228":240,"229":241,"230":242,"231":243,"232":244,"233":246,"234":247,"235":249,"236":250,"237":251,"238":252,"239":253,"240":254,"241":255,"242":256,"244":258,"245":259,"246":260,"247":261,"248":262,"249":263,"250":264,"251":265,"252":266,"254":268,"255":269,"256":270,"257":271,"258":272,"259":273,"260":274,"261":275,"262":276,"263":277,"264":278,"265":279,"266":280,"267":281,"268":283,"269":286,"270":287,"272":289,"273":290,"274":291,"275":292,"276":293,"277":294,"278":295,"279":296,"280":297,"281":298,"282":299,"284":301,"285":302,"286":303,"287":304,"288":305,"289":306,"290":307,"291":308,"292":309,"293":310,"294":311,"296":314,"297":315,"298":316,"299":317,"301":319,"302":320,"303":321,"304":322,"305":323,"306":325,"307":326,"309":328,"310":329,"312":331,"313":332,"314":334,"315":336,"316":337,"317":338,"318":339,"319":340,"320":341,"321":342,"322":343,"323":344,"324":345,"325":346,"326":347,"327":348,"328":349,"329":350,"330":351,"331":352,"332":353,"334":355,"335":356,"336":357,"337":358,"338":359,"339":360,"340":361,"341":362,"342":363,"343":364,"344":365,"345":366,"346":367,"347":368,"348":369,"349":370,"350":371,"351":372,"352":373,"353":374,"354":375,"356":378,"357":380,"358":381,"359":383,"360":384,"361":385,"362":386,"363":387,"364":388,"365":389,"366":390,"367":391,"368":392,"369":393,"371":396,"372":397,"373":398,"374":400,"375":401,"376":402,"377":403,"378":404,"379":405,"380":406,"381":407,"382":408,"383":409,"384":410,"386":412,"387":413,"388":414,"389":415,"390":416,"392":419,"394":421,"395":423,"396":424,"397":425,"398":426,"399":427,"400":428,"402":430,"403":431,"405":434,"406":435,"407":436,"408":437,"409":438,"410":440,"411":441,"412":442,"413":443,"414":444,"415":445,"417":447,"418":448,"420":451,"421":453,"422":454,"423":455,"425":457,"426":458,"427":459,"429":461,"430":462,"431":463,"432":464,"433":465,"434":466,"435":467,"436":468,"437":469,"438":470,"440":472,"441":473,"442":474,"443":475,"444":476,"445":477,"446":478,"448":480,"449":481,"450":482,"451":483,"452":484,"453":485,"454":486,"455":487,"456":488,"457":490,"458":491,"459":492,"460":493,"461":494,"462":495,"463":496,"464":497,"465":498,"466":499,"467":500,"468":501,"469":502,"470":503,"471":504,"472":505,"473":506,"474":508,"475":509,"476":510,"477":511,"478":515,"479":517,"480":520,"481":525,"482":527,"483":533,"484":534,"485":535,"486":536,"487":539,"488":544,"489":545,"490":547,"491":549,"492":552,"493":553,"494":556,"495":557,"496":558,"497":559,"498":561,"499":564,"500":567,"501":572,"502":579,"503":589,"504":592,"505":593,"506":594,"507":596,"508":599,"509":601,"510":602,"511":603,"512":605,"513":609,"514":612,"515":613,"516":614,"517":617,"518":621,"519":624,"520":627,"521":633,"522":635,"523":636,"524":638,"525":641,"526":647,"527":648,"528":654,"529":655,"530":656,"531":664,"532":666,"533":669,"534":672,"535":675,"536":677,"537":680,"538":682,"539":684,"540":687,"541":693,"542":695,"543":696,"544":699,"545":700,"546":701,"547":702,"548":703,"549":706,"550":707,"551":710,"552":711,"553":713,"554":718,"555":719,"556":721,"557":727,"558":728,"559":736,"560":744,"561":745,"562":747,"563":751,"564":753,"565":756,"566":760,"567":762,"568":769,"569":772,"570":773,"571":775,"572":780,"573":781,"574":783,"575":785,"576":788,"577":800,"578":801,"579":803,"580":804,"581":809,"582":811,"583":820,"584":823,"585":825,"586":826,"587":828,"588":830,"589":833,"590":836,"591":838,"592":840,"593":841,"594":845,"595":846,"596":853,"597":855,"598":857,"599":859,"600":860,"601":862,"602":863,"603":864,"604":866,"605":870,"606":871,"607":874,"608":875,"609":879,"610":882,"611":883,"612":885,"613":886,"614":890,"615":891,"616":893,"617":895,"618":896,"620":899,"621":901,"622":903,"623":905,"624":906,"625":908,"626":912,"627":914,"628":915,"629":918,"630":922,"631":926,"632":930,"633":937,"634":939,"635":941,"636":945,"637":946,"638":948,"639":949,"640":950,"641":951,"642":953,"643":955,"644":956,"645":957,"646":960,"647":961,"648":962,"649":964,"650":967,"651":968,"652":970,"653":971,"654":974,"655":975,"656":980,"657":981,"658":985,"659":988,"660":990,"661":994,"662":996,"663":997,"664":1002,"665":1005,"666":1007,"667":1012,"668":1013,"669":1021,"670":1022,"671":1023},{"0":88,"1":95,"2":110,"3":141,"4":145,"5":147,"6":169,"7":185,"8":196,"9":230,"10":233,"11":234,"12":245,"13":248,"14":282,"15":284,"16":285,"17":313,"18":324,"19":333,"20":335,"21":377,"22":379,"23":382,"24":394,"25":399,"26":417,"27":433,"28":439,"29":450,"30":452,"31":489,"32":507,"33":512,"34":514,"35":516,"36":521,"37":523,"38":529,"39":540,"40":548,"41":554,"42":560,"43":569,"44":573,"45":577,"46":580,"47":582,"48":586,"49":606,"50":607,"52":620,"53":628,"54":629,"55":631,"56":632,"57":639,"58":640,"59":653,"60":662,"61":663,"62":665,"63":678,"64":683,"65":689,"66":691,"67":694,"68":722,"69":723,"70":733,"71":741,"72":746,"73":752,"74":758,"75":774,"77":789,"78":790,"79":791,"80":792,"82":802,"83":805,"84":814,"85":816,"86":822,"87":832,"88":835,"89":837,"90":839,"91":867,"92":868,"93":869,"94":872,"95":887,"96":888,"97":892,"98":902,"99":907,"101":917,"102":919,"103":923,"104":925,"105":927,"106":943,"107":958,"108":963,"109":966,"110":972,"111":976,"112":977,"113":992,"115":1015,"116":1017,"117":1018,"118":1020},{"0":422,"1":518,"2":522,"3":532,"4":541,"5":595,"6":597,"7":611,"8":622,"9":623,"10":625,"11":658,"12":673,"13":685,"14":692,"15":698,"17":705,"18":708,"19":712,"20":715,"21":717,"22":720,"23":730,"24":738,"26":755,"27":761,"28":765,"29":768,"30":778,"31":779,"32":784,"33":787,"35":815,"36":817,"37":821,"38":824,"39":842,"40":847,"41":856,"42":880,"43":921,"44":934,"45":940,"46":969,"47":979,"48":986,"49":989,"50":991,"51":993,"52":1000,"53":1004,"54":1006},{"0":524,"1":528,"2":538,"3":542,"4":543,"5":565,"6":566,"7":570,"8":575,"9":604,"10":615,"11":619,"12":637,"13":646,"14":652,"15":676,"17":725,"18":726,"19":731,"20":735,"21":743,"22":759,"23":763,"24":764,"25":770,"26":777,"27":797,"28":798,"29":827,"30":843,"31":844,"32":848,"33":858,"34":878,"35":884,"36":909,"37":916,"38":924,"39":928,"40":935,"41":947,"42":965,"43":998,"44":1008,"45":1009,"47":1014},{"0":551,"1":568,"2":574,"3":576,"5":587,"6":610,"7":618,"8":634,"9":642,"11":659,"13":674,"14":681,"15":690,"16":739,"17":771,"18":806,"19":807,"20":810,"21":813,"22":829,"23":850,"24":852,"25":877,"26":881,"27":910,"28":920,"29":931,"30":978,"31":983,"32":1001,"34":1010,"35":1016,"36":1019},{"0":513,"1":555,"2":562,"3":563,"4":571,"6":649,"7":732,"8":754,"9":776,"10":799,"11":831,"12":834,"13":854,"14":865,"15":876,"16":929,"17":933,"18":944,"20":987},{"0":531,"2":626,"5":714,"6":724,"7":767,"8":786,"9":818,"10":873,"11":904,"12":952,"13":954},{"3":661,"4":668,"6":716,"8":740,"9":766,"10":793,"11":849,"12":889,"13":894,"14":959,"15":984},{"1":537,"4":645,"5":851,"6":900,"7":936,"8":942},{"2":550,"5":671,"6":686,"7":697,"8":748,"12":861,"13":898},{"0":584,"5":819},[],[],[]]