[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"9":13,"10":14,"11":16,"12":17,"13":18,"14":19,"15":21,"16":22,"17":23,"18":24,"19":25,"20":27,"21":28,"22":29,"23":30,"24":31,"25":32,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":45,"35":47,"36":48,"37":50,"38":51,"39":52,"40":53,"41":54,"42":55,"44":60,"45":61,"46":62,"47":63,"48":64,"49":65,"50":66,"51":67,"52":68,"53":69,"54":70,"55":71,"56":72,"57":73,"58":77,"59":79,"60":80,"61":81,"62":83,"63":84,"64":85,"65":86,"66":87,"67":88,"68":89,"69":90,"70":91,"71":92,"72":93,"73":94,"74":96,"75":97,"76":98,"77":99,"78":100,"79":102,"80":103,"81":104,"82":105,"83":106,"84":107,"85":108,"86":109,"87":110,"88":111,"89":112,"90":113,"91":114,"92":115,"93":116,"94":117,"101":124,"102":125,"103":126,"104":127,"105":128,"106":129,"107":130,"108":131,"109":132,"110":133,"111":134,"112":135,"113":136,"114":138,"115":140,"116":141,"117":142,"118":144,"119":145,"120":146,"121":147,"122":148,"123":149,"124":150,"125":153,"126":155,"127":156,"128":157,"129":158,"130":159,"131":160,"132":161,"133":162,"134":163,"135":164,"136":165,"140":170,"141":172,"142":173,"143":174,"144":175,"145":177,"146":178,"147":179,"148":180,"149":181,"150":182,"151":183,"152":184,"153":185,"154":186,"155":187,"156":189,"157":190,"158":191,"159":192,"160":193,"161":194,"162":195,"163":196,"164":197,"165":198,"166":199,"167":200,"168":202,"169":203,"170":204,"171":205,"172":206,"173":207,"175":210,"176":211,"177":212,"178":213,"179":214,"180":215,"181":216,"182":217,"183":218,"184":219,"185":221,"186":222,"187":223,"188":224,"189":225,"190":226,"191":227,"192":228,"193":229,"194":230,"195":231,"196":232,"197":234,"198":235,"199":236,"200":237,"201":238,"202":239,"203":240,"204":241,"205":242,"206":243,"207":244,"208":245,"209":246,"210":247,"211":248,"212":249,"213":250,"214":251,"215":252,"216":253,"217":254,"218":255,"219":256,"220":257,"221":258,"222":259,"223":260,"224":261,"225":262,"226":263,"227":264,"231":269,"232":270,"233":271,"234":272,"235":273,"236":274,"237":275,"238":277,"239":278,"240":279,"241":280,"242":281,"243":282,"244":283,"245":284,"246":285,"247":286,"248":287,"249":288,"250":289,"251":290,"252":291,"253":292,"254":293,"255":294,"256":295,"257":296,"258":297,"259":299,"260":300,"261":301,"263":304,"264":305,"265":306,"266":307,"267":308,"268":310,"269":311,"270":312,"272":317,"273":319,"274":320,"275":321,"276":323,"277":324,"278":325,"279":326,"280":327,"281":328,"282":329,"283":330,"284":331,"285":332,"286":333,"287":334,"288":335,"289":336,"290":337,"291":338,"292":339,"293":340,"294":341,"295":342,"296":343,"297":344,"298":346,"299":347,"300":348,"301":349,"303":351,"304":352,"305":354,"306":355,"307":356,"308":357,"309":358,"310":359,"311":360,"312":361,"313":362,"314":363,"315":364,"316":366,"317":367,"318":368,"319":369,"320":370,"321":371,"322":372,"323":373,"327":380,"328":381,"329":382,"330":383,"331":384,"332":385,"333":386,"334":387,"335":388,"336":389,"337":390,"338":391,"339":392,"340":393,"341":394,"342":395,"343":396,"344":397,"345":398,"346":399,"347":400,"348":403,"349":404,"350":405,"351":406,"352":407,"354":409,"355":410,"356":412,"357":413,"358":415,"359":416,"360":417,"361":418,"362":419,"363":420,"364":421,"367":427,"368":429,"369":430,"370":431,"371":432,"372":433,"373":434,"374":435,"375":436,"376":437,"377":438,"378":439,"379":442,"380":443,"381":445,"382":446,"383":447,"384":449,"385":450,"386":451,"387":452,"388":453,"389":454,"390":455,"391":457,"392":458,"393":459,"394":460,"395":463,"396":464,"397":465,"398":466,"399":467,"400":469,"401":470,"402":471,"403":472,"404":473,"405":474,"406":475,"407":476,"408":477,"409":478,"410":480,"411":481,"412":482,"413":483,"414":484,"415":485,"416":487,"417":488,"418":489,"419":490,"420":491,"421":493,"422":494,"423":495,"424":496,"425":497,"426":498,"427":499,"428":500,"429":501,"430":502,"431":503,"432":504,"433":505,"434":506,"435":508,"436":509,"437":510,"438":516,"439":521,"440":551,"441":553,"442":555,"443":557,"444":569,"445":572,"446":575,"447":594,"448":597,"449":603,"450":607,"451":612,"452":614,"453":615,"454":617,"455":625,"456":632,"457":638,"459":647,"460":650,"461":668,"462":671,"463":672,"464":691,"465":692,"466":704,"467":708,"469":721,"470":722,"471":728,"472":735,"473":737,"474":743,"475":745,"476":746,"477":752,"478":761,"479":763,"480":774,"481":781,"483":793,"484":794,"485":796,"486":798,"487":799,"488":801,"489":804,"490":822,"491":832,"492":835,"493":837,"494":842,"495":845,"496":866,"497":875,"498":890,"499":904,"500":921,"501":922,"502":927,"503":928,"504":934,"505":939,"506":946,"507":948,"508":962,"509":970,"510":973,"512":991,"513":996,"514":1002,"515":1017,"516":1022},{"0":2,"2":15,"3":20,"4":26,"5":42,"7":49,"8":74,"9":75,"10":76,"11":78,"12":82,"13":95,"14":101,"15":137,"16":139,"17":143,"19":171,"20":176,"21":188,"22":201,"23":208,"24":220,"25":276,"27":302,"28":309,"31":318,"32":322,"33":345,"34":353,"35":365,"37":401,"38":402,"43":428,"44":440,"45":441,"46":448,"47":461,"49":468,"51":486,"52":492,"53":523,"54":537,"55":538,"56":540,"57":552,"58":562,"59":566,"60":568,"61":570,"62":585,"64":599,"65":602,"66":616,"67":629,"68":637,"69":645,"70":655,"71":665,"72":682,"73":703,"74":707,"75":711,"76":716,"77":718,"79":748,"80":749,"81":750,"82":751,"83":768,"84":770,"85":785,"86":795,"87":811,"88":815,"89":818,"90":823,"92":834,"93":869,"94":884,"95":886,"96":891,"97":907,"98":910,"99":914,"100":916,"101":917,"102":920,"103":926,"104":933,"105":945,"106":976,"107":978,"108":983,"109":987,"110":989,"111":992,"112":1003,"113":1009,"114":1014,"115":1019},{"1":33,"9":444,"13":517,"14":528,"15":530,"16":545,"17":567,"18":583,"19":595,"20":618,"21":620,"22":622,"23":626,"24":628,"25":657,"26":663,"27":669,"28":673,"29":679,"30":687,"31":699,"32":710,"33":726,"34":760,"35":779,"36":790,"37":791,"38":797,"39":813,"40":816,"41":817,"42":821,"43":826,"44":828,"45":840,"46":844,"47":858,"48":859,"49":872,"50":874,"51":876,"52":889,"53":895,"54":911,"55":931,"56":938,"57":961,"58":964,"59":967,"60":990,"62":1023},{"6":513,"7":542,"8":546,"9":554,"10":561,"11":577,"12":581,"13":582,"14":609,"15":610,"16":630,"17":651,"19":654,"20":659,"21":670,"22":675,"23":690,"24":695,"25":701,"26":705,"27":706,"28":753,"29":782,"30":788,"31":810,"33":825,"34":827,"35":838,"36":846,"37":860,"38":870,"39":893,"40":909,"41":915,"42":935,"43":937,"44":940,"45":941,"46":951,"47":977,"48":998,"49":1000},{"2":520,"3":522,"4":536,"5":560,"6":563,"7":621,"8":623,"9":643,"10":646,"11":666,"12":667,"13":676,"14":714,"15":715,"16":720,"17":734,"18":740,"19":765,"20":830,"21":864,"22":882,"23":887,"24":902,"25":903,"26":905,"27":906,"28":929,"29":930,"30":943,"31":950,"32":955,"33":960,"34":974,"35":981,"36":985,"37":993,"38":1010},[547,558,565,573,578,604,648,733,742,775,803,809,873,881,936,952,957],[525,532,633,677,683,702,772,829,900,901,908,969],[527,613,644,658,736,759,764,865,1018],[549,636,800,814,912,958,975,999,1004],[697,747,786,806,848,852,871,894,963,1012],[512,559,584,780,807,808,862,913],[526,580,586,624,725,839,854,861,995],[579,631,688,713,778,812,1021],[590,784,824,856,896],[652,723,776,1016],[642,766,767,820,1013],[515,758,892,980,988],[539,639,777,867,899,965],[576,789,857],[724,732,863],[543,694,918,942],[544,605,611,619,678,686,700,756,849,885,997,1011,1020],[531,598,627,660,680,847,924,947,954],[514,534,571,588,589,739,879,888,1001],[564,608,755,792],[541,591,592,709],[524,601,684,727,831,843,877,878,883,919,944,956,982,1007],[519,556,606,635,661,698,744,754,769,771,923],[533,600,649,656,696,717,719,731,841,880,897,1006],[757,836,953,966,994],[518,925,959],[783,968],[548,741,805],[634,640],[730,853,932],[664,802],[674,685,693],[550,729],[535,898],[574,949],[587,773,851],[855,971],[681,689],[529,762],[593,1005],[972],[1015],[662],[979],[850],[986],[868]]