[{"0":0,"1":1,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"13":14,"14":15,"15":16,"16":17,"17":18,"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":35,"34":36,"35":37,"36":39,"37":40,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"53":57,"54":58,"55":59,"57":61,"58":62,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"68":72,"69":73,"70":74,"71":75,"72":76,"73":77,"74":78,"75":79,"76":80,"77":81,"78":82,"80":84,"81":85,"82":86,"83":87,"84":88,"85":89,"86":90,"89":93,"90":94,"91":95,"92":96,"93":97,"94":98,"95":100,"96":101,"97":102,"98":103,"99":104,"100":105,"101":106,"102":107,"103":108,"104":110,"105":111,"106":112,"107":113,"108":115,"109":116,"110":117,"111":118,"112":119,"113":120,"114":121,"115":122,"116":123,"117":124,"118":125,"119":126,"120":127,"121":128,"123":130,"124":131,"126":134,"127":135,"128":136,"130":138,"131":139,"132":140,"133":141,"135":143,"136":144,"137":145,"139":147,"140":148,"141":149,"142":150,"143":151,"144":152,"146":154,"147":155,"148":158,"149":159,"150":161,"151":162,"152":164,"153":165,"154":167,"155":168,"157":170,"158":171,"159":172,"160":173,"163":176,"164":177,"165":178,"167":180,"168":181,"170":183,"171":185,"172":186,"173":187,"174":188,"175":189,"176":190,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"184":199,"185":200,"186":201,"187":202,"188":203,"189":204,"190":205,"191":207,"192":208,"193":209,"194":210,"195":211,"196":212,"197":213,"198":214,"199":215,"200":216,"201":217,"202":218,"203":219,"204":220,"205":221,"206":222,"207":223,"208":224,"209":225,"210":226,"211":227,"212":229,"213":230,"214":231,"215":232,"216":233,"217":234,"218":235,"219":236,"220":237,"221":238,"222":239,"223":240,"224":241,"225":242,"226":243,"227":244,"228":245,"229":246,"230":247,"231":249,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"238":256,"239":258,"240":259,"241":260,"243":263,"244":264,"245":265,"246":266,"247":267,"248":268,"249":269,"250":270,"251":271,"252":272,"253":274,"254":275,"255":276,"256":277,"257":278,"258":279,"259":280,"260":281,"261":282,"262":283,"263":284,"265":286,"266":287,"267":288,"268":289,"269":290,"270":291,"271":293,"272":294,"273":295,"275":297,"277":300,"278":301,"279":302,"280":303,"281":304,"282":305,"283":306,"284":307,"285":308,"286":309,"287":310,"288":311,"289":312,"290":314,"291":315,"292":316,"293":317,"294":318,"295":319,"297":324,"299":326,"300":327,"301":328,"302":329,"303":330,"304":332,"306":334,"307":335,"308":336,"310":338,"312":341,"313":342,"314":343,"315":344,"316":345,"319":349,"322":352,"323":353,"324":354,"325":355,"326":356,"327":357,"328":358,"329":359,"331":361,"332":363,"333":364,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"340":371,"341":372,"342":373,"343":374,"344":375,"345":376,"346":377,"347":378,"348":379,"350":381,"351":382,"352":383,"353":384,"354":386,"355":387,"357":389,"358":391,"359":393,"360":395,"362":398,"363":399,"364":400,"365":401,"366":402,"367":403,"368":404,"369":405,"370":407,"371":408,"372":409,"373":410,"374":411,"375":412,"376":414,"377":415,"378":416,"379":417,"380":418,"381":420,"382":421,"383":422,"384":423,"385":425,"386":426,"387":427,"388":428,"391":431,"392":432,"393":433,"394":434,"395":435,"396":436,"397":437,"398":438,"399":440,"400":441,"401":442,"402":443,"403":444,"405":447,"406":448,"407":449,"408":450,"409":451,"410":452,"411":453,"412":455,"413":456,"414":457,"416":459,"417":460,"418":461,"419":462,"420":463,"421":464,"422":465,"424":467,"425":468,"426":469,"427":470,"428":472,"429":473,"430":474,"431":475,"432":476,"434":478,"435":479,"436":480,"437":481,"438":482,"439":483,"440":484,"441":485,"442":487,"443":488,"444":489,"445":491,"446":492,"447":493,"448":494,"449":495,"450":496,"451":497,"452":498,"453":499,"454":500,"455":501,"456":503,"457":504,"458":505,"459":506,"460":507,"461":510,"462":511,"463":514,"464":516,"465":523,"466":524,"467":528,"468":529,"469":534,"470":535,"471":549,"472":550,"473":551,"474":560,"475":561,"476":562,"477":563,"478":580,"479":589,"480":590,"481":598,"483":613,"484":614,"485":616,"486":627,"487":641,"488":654,"489":655,"490":658,"491":661,"492":663,"493":671,"494":675,"495":677,"496":682,"497":685,"498":690,"499":692,"500":697,"501":705,"502":706,"503":709,"504":710,"505":713,"506":715,"507":719,"508":729,"509":739,"510":740,"511":746,"512":747,"513":749,"514":755,"515":762,"516":765,"517":766,"518":768,"519":769,"520":776,"521":781,"522":793,"523":805,"524":809,"525":810,"526":817,"527":818,"528":822,"529":829,"530":837,"531":851,"532":852,"533":864,"534":867,"535":873,"536":874,"537":875,"538":878,"539":880,"540":881,"541":886,"542":902,"543":903,"544":915,"545":918,"546":919,"547":922,"548":925,"549":933,"550":934,"551":938,"552":947,"553":961,"554":968,"555":969,"556":974,"558":983,"559":984,"560":988,"561":992,"562":996,"563":1004,"564":1007,"565":1011,"566":1013,"567":1021},{"0":6,"1":34,"2":38,"3":99,"4":109,"5":114,"6":133,"7":156,"8":157,"9":160,"10":163,"11":184,"12":192,"13":206,"14":228,"15":248,"16":257,"17":261,"18":273,"19":292,"20":299,"21":313,"22":320,"23":322,"24":323,"25":331,"26":340,"27":346,"28":362,"29":385,"30":390,"31":392,"32":394,"33":397,"34":406,"35":413,"36":419,"37":424,"38":439,"39":446,"40":454,"41":471,"42":490,"43":502,"44":508,"45":509,"47":518,"48":520,"49":530,"50":532,"51":533,"52":538,"53":539,"54":544,"55":546,"56":553,"57":554,"58":559,"59":564,"60":574,"61":579,"62":584,"63":588,"64":591,"65":594,"66":596,"67":597,"68":604,"69":607,"70":609,"71":612,"73":618,"74":619,"75":625,"76":626,"77":639,"78":644,"79":647,"80":649,"81":651,"82":652,"83":666,"84":669,"85":670,"86":672,"87":674,"88":679,"89":680,"90":683,"91":684,"92":693,"93":695,"94":700,"95":701,"96":703,"97":712,"98":716,"99":718,"100":720,"102":734,"103":735,"104":741,"105":754,"106":757,"107":760,"108":763,"109":772,"110":774,"111":777,"112":785,"113":786,"114":790,"115":795,"116":796,"117":797,"118":807,"119":811,"121":819,"122":823,"124":832,"125":834,"126":839,"127":843,"128":845,"129":846,"130":848,"131":850,"132":853,"133":855,"134":856,"135":860,"136":869,"137":872,"138":876,"139":882,"140":884,"141":887,"143":898,"145":900,"146":901,"147":906,"148":908,"149":912,"150":914,"151":917,"152":924,"153":927,"154":932,"155":935,"156":940,"157":944,"158":948,"159":953,"160":966,"161":975,"163":981,"164":994,"165":1002,"166":1003,"167":1008,"168":1009,"169":1012,"172":1017,"173":1018,"174":1020},{"0":41,"1":166,"2":486,"3":525,"4":527,"5":541,"6":542,"7":543,"9":565,"10":569,"11":572,"12":583,"13":587,"14":595,"15":600,"16":601,"17":610,"18":623,"19":630,"20":632,"21":648,"22":650,"23":659,"24":662,"25":664,"26":665,"27":667,"28":698,"29":714,"30":717,"31":721,"32":728,"33":732,"34":736,"35":737,"36":742,"37":745,"38":756,"39":758,"40":761,"41":783,"42":789,"43":792,"44":804,"46":814,"47":820,"48":821,"49":824,"50":826,"51":827,"52":830,"53":836,"55":857,"57":861,"58":868,"59":870,"60":888,"61":892,"62":893,"63":896,"65":909,"66":916,"67":920,"68":930,"69":937,"70":941,"73":950,"74":954,"75":955,"76":956,"77":960,"78":962,"79":963,"80":971,"81":973,"82":976,"83":991,"84":993,"85":999,"86":1000,"87":1006,"88":1022,"89":1023},{"0":517,"1":521,"2":526,"3":540,"4":545,"5":556,"6":558,"7":566,"9":571,"10":576,"12":593,"13":605,"14":620,"15":621,"16":628,"17":629,"18":636,"19":640,"21":656,"22":660,"23":673,"24":678,"25":687,"26":691,"27":707,"30":725,"31":738,"32":759,"33":770,"34":779,"35":788,"36":791,"37":825,"38":831,"39":838,"41":858,"42":866,"43":889,"44":905,"45":921,"46":949,"47":958,"48":959,"49":965,"51":978,"52":987,"53":989,"54":990,"55":995,"56":1001},{"0":515,"2":581,"3":582,"4":602,"5":631,"7":645,"8":646,"9":681,"10":686,"11":694,"12":696,"13":723,"14":726,"16":780,"17":784,"18":787,"19":806,"20":833,"23":863,"24":865,"25":871,"26":883,"27":890,"28":904,"29":923,"30":928,"32":957,"33":967,"34":972,"35":986,"36":1005},{"0":522,"2":552,"3":567,"5":573,"7":592,"8":606,"10":622,"11":624,"13":634,"14":638,"15":643,"16":668,"17":676,"19":743,"20":748,"21":773,"22":782,"23":803,"24":841,"25":862,"26":877,"27":879,"29":911,"32":997},{"0":557,"1":599,"2":615,"3":637,"5":704,"6":724,"7":727,"8":731,"9":778,"10":799,"11":800,"12":801,"13":802,"14":812,"15":815,"16":835,"17":885,"18":891,"20":931,"21":951,"23":1019},{"1":537,"4":577,"6":722,"7":733,"8":751,"9":752,"12":985},{"2":753},[],[],[],[],[]]