[{"0":0,"1":1,"3":3,"4":4,"5":7,"7":11,"8":12,"9":13,"10":14,"11":15,"13":17,"14":18,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":27,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":39,"36":42,"37":43,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"48":54,"49":55,"50":56,"51":57,"52":58,"53":59,"54":60,"55":61,"56":63,"57":64,"58":65,"59":66,"60":67,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"69":78,"70":79,"71":80,"72":83,"73":84,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":96,"82":98,"83":99,"85":102,"86":103,"87":104,"88":105,"89":106,"90":107,"91":108,"93":110,"94":111,"95":112,"97":114,"98":115,"99":116,"100":118,"101":119,"102":120,"104":122,"105":123,"106":124,"107":125,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"121":141,"122":142,"123":143,"125":145,"126":147,"127":148,"128":149,"129":150,"130":151,"131":152,"134":156,"135":157,"136":158,"137":159,"138":160,"140":163,"141":164,"142":165,"143":166,"145":168,"147":170,"148":171,"149":172,"151":174,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":183,"160":185,"161":186,"162":187,"163":189,"164":190,"165":191,"167":193,"169":195,"170":196,"171":197,"172":198,"173":199,"174":200,"176":202,"177":203,"178":204,"179":205,"180":206,"181":207,"182":208,"184":210,"185":212,"186":213,"187":214,"188":215,"191":218,"192":220,"195":223,"196":224,"197":225,"198":226,"199":227,"200":228,"201":229,"202":230,"203":231,"204":232,"206":234,"207":235,"208":237,"209":238,"210":239,"211":240,"212":241,"214":243,"215":244,"216":245,"217":246,"219":248,"220":249,"222":251,"223":252,"225":254,"227":257,"228":259,"230":261,"231":263,"232":264,"233":265,"234":266,"235":267,"236":268,"237":269,"238":271,"239":273,"240":274,"242":276,"243":277,"245":279,"246":280,"247":281,"248":283,"249":284,"250":285,"251":286,"252":287,"253":288,"254":289,"255":290,"256":291,"257":292,"258":294,"259":295,"260":296,"261":297,"263":299,"264":300,"265":301,"268":304,"270":306,"271":307,"272":308,"273":309,"274":310,"276":312,"277":313,"278":314,"280":316,"282":318,"284":320,"285":321,"286":322,"287":323,"288":324,"289":326,"290":327,"292":329,"294":331,"295":332,"296":333,"299":337,"300":338,"301":339,"302":340,"305":343,"306":345,"307":346,"308":347,"309":348,"310":349,"311":350,"312":352,"313":353,"315":355,"316":356,"317":357,"318":358,"319":359,"320":360,"321":361,"322":362,"323":364,"324":366,"325":367,"326":368,"327":369,"328":370,"329":373,"330":374,"331":375,"333":377,"334":378,"335":379,"336":380,"337":381,"339":384,"340":385,"341":387,"342":388,"343":390,"344":391,"346":393,"348":395,"349":396,"350":397,"351":398,"353":400,"354":401,"355":402,"356":403,"357":404,"358":405,"360":407,"361":408,"362":409,"363":410,"364":412,"365":414,"366":415,"367":416,"368":417,"369":419,"371":423,"372":424,"373":425,"374":426,"376":428,"377":429,"378":430,"379":431,"381":434,"382":435,"383":436,"384":437,"385":438,"386":439,"387":440,"388":441,"390":443,"391":444,"392":445,"393":446,"394":447,"395":448,"396":449,"397":450,"398":451,"400":453,"401":454,"403":457,"404":458,"405":459,"406":460,"407":461,"408":462,"409":463,"410":464,"411":465,"413":467,"414":468,"416":470,"417":472,"418":474,"419":476,"422":479,"424":482,"425":483,"426":484,"427":485,"428":486,"429":487,"430":488,"432":491,"433":492,"434":493,"435":494,"436":495,"438":498,"439":499,"440":500,"442":502,"443":503,"444":504,"446":507,"447":508,"448":509,"449":510,"451":514,"452":516,"453":525,"454":526,"455":547,"456":548,"457":553,"458":556,"459":567,"461":577,"462":579,"463":581,"464":587,"465":592,"467":597,"469":603,"470":615,"471":621,"472":623,"473":625,"474":641,"475":648,"477":654,"478":658,"479":668,"480":670,"481":671,"482":672,"483":680,"484":682,"485":695,"486":696,"487":700,"488":715,"489":748,"490":758,"491":777,"492":782,"493":785,"495":792,"496":796,"497":798,"498":799,"499":802,"500":805,"501":807,"502":813,"503":814,"504":818,"505":821,"506":830,"508":864,"509":865,"510":868,"511":870,"512":880,"513":883,"514":888,"515":892,"516":896,"517":897,"518":900,"519":907,"520":910,"521":911,"522":917,"523":931,"524":942,"526":949,"527":952,"528":956,"529":958,"530":977,"531":986,"533":995,"534":996,"535":1007,"536":1008,"538":1012,"540":1017},{"0":5,"1":6,"2":8,"3":10,"5":40,"6":62,"7":68,"8":69,"9":81,"10":82,"11":85,"12":87,"14":95,"15":97,"17":117,"18":126,"19":127,"20":146,"21":155,"22":162,"23":182,"24":188,"25":219,"26":236,"27":255,"29":262,"30":270,"31":293,"32":325,"33":334,"34":344,"35":351,"36":363,"37":365,"38":371,"39":372,"40":389,"41":411,"42":418,"43":421,"45":432,"47":471,"48":473,"49":475,"50":480,"52":496,"53":506,"54":515,"55":517,"56":520,"57":521,"58":533,"59":537,"60":540,"61":545,"62":549,"63":571,"64":599,"65":604,"66":614,"67":632,"68":635,"69":638,"70":644,"71":653,"72":665,"73":666,"74":676,"75":678,"77":689,"78":691,"79":692,"80":708,"82":724,"83":728,"84":735,"85":750,"86":754,"87":755,"88":762,"89":771,"90":773,"91":779,"92":780,"94":797,"95":800,"96":809,"97":810,"99":816,"100":841,"101":852,"102":873,"103":876,"105":887,"106":891,"107":898,"108":904,"109":908,"112":935,"113":941,"114":951,"115":953,"116":970,"117":973,"119":991,"120":997,"121":1000,"122":1002,"123":1003,"124":1010,"125":1011,"126":1013,"127":1018,"128":1023},{"0":184,"1":211,"2":272,"3":282,"4":382,"5":386,"6":413,"7":536,"8":554,"9":569,"10":573,"11":588,"12":595,"13":605,"16":687,"17":704,"18":710,"19":763,"20":766,"21":775,"22":801,"23":804,"24":806,"25":812,"26":824,"27":829,"28":831,"29":844,"31":850,"32":856,"33":858,"34":881,"35":894,"36":902,"37":903,"38":914,"39":918,"40":921,"41":932,"42":938,"43":967,"44":979,"46":983,"47":994,"48":998},[512,518,535,550,564,566,568,583,585,618,624,634,647,652,660,667,675,684,705,714,738,751,772,778,781,820,835,837,842,843,866,895,906,915,928,929,957,962,965,966,971,988,1022],[543,551,558,561,563,572,602,640,643,661,686,719,765,768,776,786,789,823,849,851,857,872,878,885,913,987,989,999,1019],[513,524,529,542,586,601,608,610,683,693,720,723,733,736,753,760,811,847,912,926,939,946,968,982,990,1015],[552,584,607,613,633,636,650,901,940],[606,694,701,737,759,869,879],[538,628,795],[527,637],[846,927],[833,925],[622,746,793,861],[685,741],[709,947],[657,659],[619,944],[655,745,980],[534,645,732],[532,546,740],[557,591,717],[734,747,859,978],[541,620,630,729],[574,627],[697,855,1014],[730,744,764,1020],[519,530],[822,853,975],[616,707,826,930,976],[726,743,827,899],[788,993],[656,681,825],[690,699,713],[582,594,673,727,874,905],[609,626,698,703,722,875],[589,739,817,886,909],[590,848,1001],[646,711,769],[539,565,664,794,922,945],[770,889,890,984],[596,706,716,784,840,916,933,934,948,1021],[562,617,725,774,783,838,955,959,969,972],[560,651,712,731,742,761,871,882,919,960],[570,642,757,828,884,937,961,963,1004],[528,576,791,803,832,854,860,1006],[544,611,964],[598,639],[662,674],[756,834],[749,1005],[688,867],[522,559,936],[836,985],[819,893],[863],[523,531],[629,808,950,954],[702,920],[580],[555],[578],[677,718],[767],[752],[862],[631],[663]]