[{"0":0,"1":1,"2":2,"3":3,"5":6,"6":7,"7":8,"8":9,"10":11,"11":12,"12":13,"13":14,"14":15,"16":17,"17":18,"18":19,"20":21,"21":22,"22":23,"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":40,"40":41,"41":42,"42":43,"43":44,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":56,"55":58,"57":60,"58":61,"59":62,"62":65,"63":66,"64":68,"65":69,"67":71,"68":72,"70":74,"71":75,"72":76,"73":77,"74":79,"75":80,"77":82,"81":86,"82":87,"83":88,"84":89,"85":90,"86":91,"87":92,"88":93,"89":94,"90":95,"91":96,"92":97,"93":99,"94":100,"95":101,"96":102,"97":103,"98":104,"99":105,"100":106,"101":107,"102":108,"103":109,"105":111,"106":112,"108":114,"109":115,"110":116,"111":117,"112":118,"113":119,"114":120,"115":121,"117":123,"118":124,"121":128,"122":129,"123":130,"124":132,"125":133,"126":134,"129":137,"131":139,"132":140,"133":142,"134":143,"135":144,"137":146,"138":147,"139":148,"140":149,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"148":157,"149":158,"150":159,"151":160,"153":162,"154":163,"155":164,"156":165,"157":166,"158":167,"159":168,"160":169,"161":170,"162":171,"163":172,"164":173,"165":174,"166":175,"167":176,"168":177,"169":178,"170":179,"171":180,"172":181,"173":183,"174":184,"175":185,"176":186,"177":187,"178":188,"179":189,"180":190,"181":191,"182":192,"183":193,"184":194,"185":195,"186":196,"187":197,"189":199,"190":200,"191":201,"192":202,"194":204,"195":205,"196":206,"197":207,"199":209,"201":211,"202":212,"204":214,"205":215,"206":216,"207":217,"208":218,"209":219,"210":220,"211":221,"212":222,"213":223,"215":225,"216":226,"217":227,"218":228,"219":229,"220":230,"221":231,"222":232,"223":233,"224":234,"225":235,"226":236,"228":238,"229":240,"230":241,"231":242,"232":243,"233":245,"234":246,"235":247,"236":248,"237":249,"238":250,"241":254,"242":255,"243":256,"244":257,"245":258,"246":259,"247":260,"248":261,"250":264,"252":266,"253":267,"254":268,"256":270,"257":271,"258":272,"259":273,"260":274,"262":276,"263":277,"265":279,"266":280,"267":281,"269":283,"272":287,"273":288,"275":290,"277":292,"278":293,"279":294,"280":295,"281":296,"283":298,"284":299,"285":300,"286":301,"287":302,"288":304,"289":305,"291":307,"292":308,"293":309,"294":310,"295":311,"296":312,"297":313,"298":314,"300":316,"301":317,"302":318,"304":320,"305":321,"308":325,"309":326,"310":327,"311":328,"312":329,"313":330,"314":331,"315":332,"316":333,"317":334,"318":335,"319":336,"320":337,"321":338,"322":339,"323":340,"324":341,"325":342,"326":343,"327":345,"328":346,"331":350,"332":351,"333":352,"334":353,"335":354,"336":355,"337":356,"338":357,"339":358,"340":359,"342":361,"343":362,"344":363,"345":364,"346":365,"348":367,"350":369,"351":370,"353":372,"354":373,"355":374,"356":375,"357":376,"358":377,"360":379,"361":380,"362":382,"363":383,"364":384,"365":385,"366":386,"367":387,"368":388,"370":390,"371":391,"372":392,"373":393,"374":394,"375":395,"377":397,"378":398,"379":399,"380":400,"381":401,"382":402,"384":404,"386":406,"387":407,"388":408,"389":409,"392":412,"393":413,"394":415,"395":416,"396":417,"397":419,"398":420,"399":421,"400":422,"401":423,"402":424,"403":425,"404":426,"405":427,"406":428,"407":429,"408":430,"409":431,"410":432,"411":434,"412":435,"413":436,"414":437,"415":438,"416":439,"418":441,"419":442,"420":443,"421":444,"423":446,"424":447,"426":449,"427":450,"428":451,"429":452,"430":453,"432":455,"433":456,"434":457,"435":458,"436":459,"437":460,"438":461,"439":462,"440":463,"441":464,"443":466,"444":467,"445":468,"447":470,"448":471,"449":472,"450":473,"451":474,"452":475,"453":476,"454":477,"455":478,"456":479,"457":480,"459":482,"460":483,"461":484,"462":485,"463":486,"464":488,"465":489,"466":490,"467":491,"468":492,"469":493,"470":494,"471":495,"472":496,"473":497,"474":498,"475":499,"476":500,"477":501,"478":502,"479":503,"480":504,"482":506,"483":507,"484":508,"486":510,"487":511,"488":515,"489":546,"490":556,"491":564,"493":586,"494":605,"496":634,"497":636,"498":637,"499":638,"500":648,"501":650,"502":651,"503":663,"504":670,"505":676,"506":678,"507":680,"510":691,"511":698,"512":703,"515":722,"516":725,"517":729,"518":734,"519":740,"520":748,"521":766,"522":775,"523":776,"524":784,"525":785,"527":791,"528":793,"529":794,"532":816,"533":818,"534":825,"535":826,"536":838,"537":844,"538":852,"539":858,"540":861,"541":875,"542":878,"543":887,"544":893,"546":911,"547":914,"549":937,"550":942,"551":946,"552":947,"553":955,"554":974,"555":985,"556":990,"557":992,"558":993,"560":1000,"561":1001},{"0":4,"1":46,"2":55,"3":67,"4":78,"5":98,"6":126,"7":131,"8":141,"9":182,"10":239,"11":244,"12":253,"13":263,"14":284,"16":324,"18":348,"20":414,"21":418,"23":487,"24":514,"25":535,"26":536,"27":538,"28":539,"33":570,"34":575,"35":577,"37":587,"38":610,"39":618,"40":624,"41":625,"42":631,"43":633,"44":642,"45":644,"46":645,"47":646,"48":647,"49":655,"50":658,"52":666,"53":667,"54":671,"55":684,"56":685,"57":696,"58":714,"59":716,"60":724,"61":726,"62":730,"63":742,"65":762,"66":767,"67":787,"68":788,"69":790,"70":797,"71":800,"72":803,"73":804,"74":813,"75":827,"76":829,"77":832,"78":834,"79":840,"80":842,"81":843,"83":851,"85":857,"86":862,"87":871,"88":872,"90":883,"91":891,"92":900,"93":909,"94":912,"95":925,"96":933,"97":935,"98":962,"99":969,"101":972,"102":977,"103":996,"105":1012},{"0":512,"1":527,"2":531,"3":532,"4":573,"5":581,"7":598,"8":603,"9":627,"11":662,"12":682,"13":690,"14":694,"15":699,"16":702,"17":708,"18":715,"19":732,"20":736,"21":741,"22":756,"23":770,"24":773,"25":774,"26":779,"27":780,"28":781,"29":799,"30":806,"31":809,"32":822,"33":824,"34":847,"35":859,"36":877,"37":886,"38":932,"39":941,"40":945,"41":952,"42":959,"43":961,"44":982,"45":988,"46":1008,"47":1009,"48":1013,"49":1021},[523,524,530,547,553,554,572,576,579,583,596,661,669,674,679,681,687,697,705,720,735,747,758,796,807,819,820,835,849,855,865,910,934,936,939,949,951,973,975,978,980],[517,550,562,568,590,599,623,626,668,673,692,719,733,752,769,802,815,817,828,830,845,848,897,927,944,971,979,998,999,1020],[533,544,552,589,600,640,727,760,771,892,899,902,908,926,958,960,987,989],[521,528,534,541,545,555,653,701,712,778,850,929,957,967,1004],[602,608,649,664,710,755,761,833,916,924,931],[565,675,721,739,901,1010],{"0":560,"1":620,"2":754,"3":811,"5":896,"6":986},[753,777,839,864,884,920],[525,604,919],[622,786,821,904],[672,746,995,1015],{"0":518,"2":630,"3":772,"4":918,"5":991},[542,592,628,890,928],[745,795,885],[615,913,930],[652,1017],[665,713,880],[569,629],[601,700,997],[654,695,879,976],[617,801,889],[529,709,764],[566,571,606,898],[578,614,738,751,922],[768,814,831,869,1023],[643,783,906,950],[688,704,743,805,895,948,981],[763,812,860,876,1007],[557,563,711,728,765,792,983],[520,559,594,639,782,810,837,873,915,968],[580,595,609,656,841,938,965,1003,1011],[588,612,707,854,940,954,963,964,1006],[558,616,641,867,881,903,917,1019],[522,1002],{"0":526,"2":863},[551],[584],[856],[611],[907],[613],[1014],[585],[657,750],[874],[737],[591,984],[693],[548,749],[516],[1018],[943],[519,731],[619,868],[621,870,956],[923,1022],[757,823],[689,706],[513,905,953],[677],[660],[888],[567],[966],[632],[836],[537,744]]