[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":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,"35":36,"36":37,"37":38,"38":39,"40":41,"41":42,"42":43,"43":44,"44":46,"45":47,"46":48,"47":50,"48":51,"49":53,"50":54,"51":55,"52":56,"53":57,"54":58,"55":59,"56":60,"57":61,"58":62,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":70,"66":71,"67":72,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"85":91,"86":92,"87":93,"88":94,"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":109,"103":110,"104":111,"105":112,"106":113,"107":114,"108":115,"109":116,"110":117,"111":118,"112":119,"115":122,"116":123,"117":124,"118":125,"119":126,"120":127,"121":128,"122":129,"123":130,"124":132,"125":133,"126":134,"127":135,"128":136,"129":137,"130":138,"131":139,"132":141,"133":142,"134":143,"135":144,"136":145,"138":147,"139":148,"140":149,"141":150,"142":151,"143":152,"144":153,"145":155,"146":156,"147":157,"148":158,"149":159,"150":160,"151":161,"152":162,"153":163,"154":164,"155":165,"156":166,"157":167,"158":168,"159":169,"160":170,"161":171,"162":172,"163":173,"164":174,"165":175,"166":176,"167":177,"168":178,"169":179,"170":180,"171":181,"172":182,"173":183,"174":185,"175":186,"176":188,"177":189,"178":190,"179":192,"180":193,"181":195,"182":196,"183":197,"184":198,"185":199,"186":200,"187":201,"188":202,"189":203,"190":204,"191":205,"192":206,"193":207,"194":209,"195":211,"196":212,"197":214,"198":215,"199":216,"200":217,"201":218,"202":219,"203":221,"204":222,"205":223,"206":224,"207":225,"208":226,"209":227,"210":228,"211":229,"212":230,"213":231,"214":232,"215":233,"216":234,"217":235,"218":236,"219":237,"220":238,"221":240,"222":241,"223":242,"224":243,"225":244,"226":245,"227":246,"228":247,"229":248,"230":249,"231":250,"232":251,"233":252,"234":253,"235":254,"236":255,"237":256,"238":257,"239":258,"240":259,"241":260,"242":261,"243":262,"245":264,"246":265,"247":266,"248":268,"249":269,"250":270,"251":271,"252":272,"253":273,"254":274,"255":275,"256":276,"257":277,"258":278,"259":279,"260":280,"261":281,"262":282,"263":283,"264":284,"265":285,"266":286,"267":287,"268":288,"269":289,"270":290,"271":291,"272":292,"273":293,"275":295,"276":296,"277":297,"278":299,"279":300,"280":301,"281":302,"282":303,"283":304,"284":305,"285":306,"286":307,"287":308,"288":309,"289":310,"290":311,"291":312,"292":313,"293":314,"294":315,"295":316,"296":317,"297":318,"298":321,"299":322,"300":323,"301":324,"302":325,"303":326,"304":327,"305":329,"306":330,"307":331,"308":332,"309":333,"310":334,"311":335,"312":338,"313":340,"314":342,"315":343,"316":344,"317":345,"318":346,"320":348,"321":349,"322":350,"323":351,"324":352,"325":353,"326":354,"327":355,"328":356,"329":357,"330":358,"331":359,"332":360,"333":362,"334":363,"335":364,"336":366,"337":367,"338":369,"339":370,"340":371,"341":372,"342":374,"343":376,"344":377,"345":378,"346":379,"347":380,"349":382,"350":383,"351":384,"352":385,"353":386,"354":387,"355":388,"356":389,"357":391,"358":392,"359":393,"360":394,"361":395,"362":396,"363":397,"364":398,"365":399,"366":400,"367":401,"368":402,"369":403,"370":404,"371":405,"372":406,"373":407,"374":408,"375":411,"376":412,"377":413,"378":414,"379":415,"380":416,"381":417,"382":418,"383":419,"384":420,"385":421,"386":422,"388":424,"389":425,"391":427,"392":428,"393":429,"394":430,"395":431,"396":432,"398":436,"399":437,"400":438,"401":439,"402":440,"403":441,"404":442,"405":443,"408":447,"409":448,"410":449,"411":450,"412":451,"413":452,"414":453,"415":454,"416":455,"417":456,"418":457,"419":458,"420":459,"421":460,"422":461,"423":462,"424":463,"425":464,"426":465,"427":466,"428":467,"429":470,"430":471,"431":472,"432":473,"433":474,"434":475,"435":476,"436":477,"437":478,"438":479,"439":481,"440":482,"441":483,"442":484,"443":486,"444":487,"445":488,"446":489,"447":490,"448":491,"449":492,"450":493,"451":494,"452":495,"453":497,"454":498,"455":499,"456":500,"457":501,"458":502,"459":503,"460":504,"461":505,"462":506,"463":507,"464":508,"465":509,"466":510,"467":511,"468":516,"469":522,"470":525,"471":527,"472":531,"473":533,"474":547,"475":550,"476":552,"477":562,"478":567,"479":571,"480":591,"481":592,"482":596,"483":602,"484":610,"485":613,"486":626,"487":647,"488":649,"489":657,"490":659,"491":697,"492":701,"493":719,"494":726,"495":731,"496":733,"497":734,"498":735,"499":738,"500":740,"501":742,"502":743,"503":746,"504":749,"505":750,"506":759,"507":762,"508":769,"509":782,"510":791,"511":799,"512":800,"513":803,"514":805,"515":809,"516":831,"517":832,"518":835,"519":849,"520":851,"521":857,"522":859,"523":865,"524":867,"525":879,"526":880,"527":881,"528":884,"529":886,"530":889,"531":892,"532":893,"533":895,"534":907,"535":910,"536":914,"537":916,"538":917,"539":923,"540":928,"541":940,"542":948,"543":950,"544":953,"545":955,"546":966,"547":973,"548":979,"549":984,"550":989,"551":991,"552":1003,"553":1005,"554":1007,"555":1010,"556":1012,"557":1021,"558":1023},{"0":4,"1":45,"2":49,"3":52,"4":69,"5":73,"6":108,"7":131,"8":140,"9":154,"10":184,"11":187,"12":191,"13":194,"14":208,"15":210,"16":213,"17":220,"18":239,"19":267,"20":298,"21":319,"22":320,"23":328,"24":336,"25":337,"26":339,"27":341,"28":361,"29":365,"30":368,"31":373,"32":375,"33":390,"34":409,"35":410,"36":433,"37":435,"38":445,"39":468,"40":469,"41":480,"42":485,"43":496,"44":518,"45":530,"46":535,"47":538,"48":541,"49":549,"50":556,"51":557,"52":566,"53":569,"54":570,"55":576,"56":606,"57":612,"58":616,"59":624,"60":630,"61":635,"62":641,"63":643,"64":648,"65":652,"66":653,"67":664,"68":665,"69":669,"70":670,"71":678,"72":679,"73":683,"74":684,"75":685,"76":693,"77":708,"78":710,"79":712,"80":714,"81":718,"82":722,"83":728,"84":748,"85":753,"86":754,"87":758,"88":761,"89":763,"90":764,"91":767,"92":771,"93":773,"94":784,"95":785,"96":792,"97":793,"98":797,"99":812,"100":821,"101":823,"102":839,"103":844,"104":845,"105":847,"106":850,"107":864,"108":868,"109":890,"110":899,"111":901,"112":903,"113":918,"114":921,"115":926,"116":933,"117":934,"118":935,"119":939,"120":941,"121":942,"122":958,"123":964,"124":967,"125":971,"126":974,"127":976,"129":993},{"0":519,"1":529,"2":532,"3":546,"4":551,"5":559,"6":560,"7":574,"8":581,"9":582,"10":603,"11":607,"12":625,"13":628,"14":642,"15":672,"16":688,"17":691,"18":692,"19":696,"20":705,"21":707,"22":713,"23":715,"24":732,"25":755,"26":766,"27":768,"28":779,"29":780,"31":807,"32":842,"33":848,"34":853,"35":870,"36":872,"37":875,"38":876,"39":888,"40":891,"41":897,"42":922,"43":938,"44":943,"45":947,"46":957,"47":985,"48":990,"49":1014,"50":1022},{"0":544,"1":561,"2":575,"3":584,"4":598,"6":609,"7":634,"8":656,"9":677,"10":727,"11":739,"12":757,"13":820,"14":826,"15":830,"16":836,"17":854,"18":855,"19":866,"20":908,"21":913,"22":962,"23":1002,"24":1016},[563,725,737,756,765,774,789,905],[724,752,781,871,896],{"1":633,"5":819,"8":972},{"0":542,"1":608,"2":675,"4":997},[730,811,825,961],[661,711,817],[644,729],[539,640,996],[534,568,843,963],[698,829],[721,1009],[555,885,906],[618,810,837],[631,651,654,668,840,894],[658,663,674,770,783,856],[919,965,1006],[564,790,915,932],[513,593,614,852],[597,911,986],[536,587,588,772],[580,632,646,982,1013],[558,720,747,824],{"1":700,"2":716,"3":822},{"1":858,"2":952},[590,689,878],[579,814,860,863],[528,589,741,874],[802,951],[553,744,944],[816,827],[813,869,980,1000,1019],[615,676,736],[629,636,775],[537,620,983],[912,925,988],[617,786,828,833,960],[673,709,937,968],[540,660,704],[788,887,946],[578,585,619,622,623,638,794,969],[751,841,900,975,998],[594,645,703,717,760,1015],[565,611,898,924],[621,680,815,945],{"3":882,"5":978},{"1":883,"2":970},[600,604],[637,666],[861],[1008],[909],[999],[545,586,956],[690,776],[798,818,1017],[521,778],[902],[1001],[577,702],[599,846],[595,927],[667,686,873,929],[806,1018],[514,520,694,954,959],[787,920],[524],[699],[515,572,573,655],[877],[512,862,1004],[627,838,987],[671,723],[777,994],[583,639,804],[936,1011],[554,695,931],[605,687,745],[977],[662,930],[681],[517],[1020]]