[{"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"9":11,"10":12,"11":13,"12":14,"13":18,"14":24,"15":29,"16":30,"17":31,"18":32,"19":33,"20":36,"21":37,"22":39,"23":40,"24":41,"26":44,"27":45,"28":46,"29":47,"30":48,"31":49,"32":50,"33":53,"34":54,"35":56,"36":57,"37":58,"38":59,"39":61,"40":62,"41":69,"42":71,"43":73,"44":74,"45":75,"46":77,"47":80,"48":81,"49":84,"50":85,"51":87,"52":95,"53":98,"54":109,"55":111,"56":112,"57":113,"59":258,"60":259,"61":261,"62":262,"63":263,"64":265,"65":266,"66":267,"67":268,"68":269,"69":270,"70":271,"71":274,"72":275,"73":276,"74":278,"75":279,"76":281,"77":285,"78":287,"79":290,"80":292,"81":293,"82":294,"83":295,"84":297,"85":298,"86":299,"87":301,"88":304,"89":305,"90":306,"91":307,"92":308,"93":309,"94":311,"95":312,"96":315,"97":319,"98":320,"99":323,"100":324,"101":326,"102":327,"103":330,"104":332,"105":333,"106":335,"107":336,"108":337,"109":338,"110":340,"111":341,"112":342,"113":343,"114":344,"115":345,"116":346,"117":348,"118":349,"119":350,"120":351,"121":352,"122":354,"123":355,"124":358,"125":360,"126":361,"127":363,"128":364,"129":365,"130":369,"131":370,"132":371,"133":513,"134":518,"135":519,"136":520,"137":524,"138":526,"139":527,"140":528,"141":533,"142":541,"143":543,"144":545,"145":546,"146":551,"147":552,"148":555,"149":564,"150":572,"151":573,"152":577,"153":580,"154":582,"155":583,"156":586,"157":590,"158":597,"159":600,"160":601,"161":602,"162":613,"163":615,"164":617,"165":624,"166":628,"167":632,"168":633,"169":648,"170":655,"171":664,"172":665,"173":669,"174":675,"175":686,"176":687,"177":692,"178":693,"179":698,"180":702,"181":707,"182":715,"183":723,"184":724,"185":725,"186":734,"187":737,"188":740,"189":742,"190":745,"191":746,"192":750,"193":753,"194":758,"195":759,"196":760,"197":766,"198":768,"199":786,"200":791,"201":797,"202":806,"203":810,"204":811,"205":814,"206":815,"207":817,"208":819,"209":821,"210":825,"211":827,"212":829,"213":833,"214":836,"215":837,"216":850,"217":855,"218":858,"219":860,"220":862,"221":869,"222":872,"223":876,"224":879,"225":881,"226":885,"227":886,"228":898,"229":899,"230":909,"231":922,"232":923,"233":936,"234":943,"235":945,"236":949,"237":967,"238":968,"239":971,"240":976,"241":979,"242":980,"243":981,"244":987,"245":992,"246":1000,"247":1005,"248":1006,"249":1011,"250":1016,"251":1018,"252":1022,"253":1023},{"0":9,"1":16,"2":17,"3":19,"4":22,"5":23,"6":26,"7":27,"9":43,"10":51,"11":52,"12":55,"13":60,"14":63,"15":64,"16":65,"17":66,"18":67,"19":68,"20":79,"21":82,"22":86,"23":90,"24":91,"25":92,"26":97,"27":100,"28":101,"29":102,"30":103,"31":104,"32":105,"33":106,"34":107,"35":114,"36":115,"37":124,"38":126,"39":127,"40":128,"41":131,"42":132,"43":133,"44":135,"45":136,"46":138,"47":139,"48":140,"49":141,"50":144,"51":145,"52":150,"53":151,"54":152,"55":154,"56":157,"57":158,"58":162,"59":164,"60":170,"61":174,"62":176,"63":177,"64":178,"65":179,"66":180,"67":181,"68":182,"69":183,"70":184,"71":185,"72":187,"73":188,"74":190,"75":192,"76":194,"77":198,"78":200,"79":206,"80":209,"81":211,"82":217,"83":218,"84":223,"85":225,"86":226,"87":227,"88":228,"89":257,"90":260,"91":272,"92":280,"93":282,"94":284,"95":286,"96":296,"97":300,"98":302,"99":303,"100":310,"101":313,"102":314,"103":317,"104":318,"105":322,"106":325,"107":328,"108":329,"109":331,"110":334,"111":339,"112":353,"113":356,"114":357,"115":359,"116":362,"117":367,"118":373,"119":374,"120":376,"121":377,"122":378,"123":381,"124":382,"125":383,"126":384,"127":385,"128":388,"129":389,"130":390,"131":392,"132":393,"133":395,"134":396,"135":397,"136":398,"137":401,"138":402,"139":404,"140":407,"141":408,"142":409,"143":413,"144":418,"145":420,"146":421,"147":426,"149":433,"150":434,"151":437,"152":438,"153":439,"154":440,"155":442,"156":444,"157":446,"158":447,"159":448,"160":450,"161":452,"162":453,"163":454,"164":457,"165":460,"166":461,"167":462,"168":466,"169":467,"170":468,"171":469,"172":471,"173":474,"174":476,"175":477,"176":479,"177":480,"178":481,"179":482,"180":483,"181":484,"182":516,"183":517,"184":549,"185":550,"186":559,"187":562,"188":568,"189":571,"190":579,"191":587,"192":589,"193":592,"194":594,"195":598,"196":604,"197":612,"198":627,"199":631,"200":634,"201":635,"202":643,"203":645,"204":652,"205":663,"206":666,"207":667,"208":676,"209":682,"210":683,"211":689,"212":690,"213":696,"214":699,"215":701,"216":711,"217":712,"218":719,"219":735,"220":738,"221":739,"222":744,"223":761,"224":764,"225":773,"226":774,"227":778,"228":780,"229":787,"230":789,"231":792,"232":796,"233":803,"234":804,"235":807,"236":813,"237":818,"238":820,"239":823,"240":834,"241":843,"242":849,"243":853,"244":859,"245":868,"246":877,"247":882,"248":888,"249":892,"250":893,"251":900,"252":902,"253":906,"254":913,"255":917,"256":921,"257":924,"258":932,"259":934,"260":938,"261":939,"262":951,"263":952,"264":953,"265":954,"266":955,"267":961,"268":978,"269":984,"270":989,"271":1003,"272":1007,"273":1012,"274":1013,"275":1017},[6,15,20,21,28,38,70,76,78,88,89,94,99,108,110,116,117,118,120,121,122,123,130,134,142,143,147,148,153,155,156,159,160,161,165,166,168,169,172,175,189,191,193,195,196,201,202,203,204,205,210,212,213,216,219,220,221,224,243,244,246,247,248,249,250,252,254,255,273,277,283,288,289,291,316,321,347,366,368,372,375,379,386,387,391,394,399,400,405,406,410,411,412,414,416,417,419,427,428,429,430,431,443,445,449,451,455,456,458,463,473,478,485,488,491,496,501,502,504,507,509,511,512,521,532,534,542,563,567,569,574,584,596,599,608,619,620,621,636,642,649,650,654,656,662,685,688,703,705,706,716,718,726,741,752,763,767,776,781,784,790,794,822,824,835,851,856,864,865,866,867,870,874,878,890,895,912,914,915,918,919,946,973,986,995,999,1001,1008,1009,1010],{"0":25,"1":34,"2":72,"3":83,"4":93,"5":96,"6":119,"7":125,"8":129,"9":137,"10":146,"11":149,"12":163,"13":171,"14":173,"15":199,"16":207,"17":208,"18":215,"19":222,"20":229,"21":231,"22":232,"23":233,"24":235,"25":236,"26":237,"27":238,"28":239,"29":240,"30":241,"31":242,"32":245,"33":251,"34":253,"35":264,"36":380,"37":403,"38":415,"39":422,"40":423,"41":425,"42":435,"43":436,"44":459,"45":464,"46":465,"47":470,"48":472,"49":475,"50":489,"51":492,"52":493,"53":494,"54":499,"55":500,"56":503,"57":505,"58":510,"59":538,"60":554,"61":557,"62":560,"63":570,"64":578,"66":605,"67":606,"68":607,"69":616,"70":637,"71":638,"72":647,"73":658,"74":660,"75":722,"76":732,"77":769,"78":788,"79":799,"80":800,"81":809,"82":831,"83":842,"84":844,"85":846,"86":880,"87":887,"88":901,"89":905,"90":908,"91":916,"92":920,"93":928,"94":930,"95":941,"96":944,"97":948,"98":958,"99":960,"100":964,"101":974,"102":982,"103":1014},[167,186,197,214,234,424,441,490,495,497,508,535,536,540,544,565,575,591,618,640,651,681,708,710,717,727,729,730,755,782,798,805,838,840,845,848,852,861,927,933,937,942,950,970,990,996],[230,486,487,506,515,523,529,547,556,558,593,625,694,736,770,801,841,863,871,873,891,903,910,911,926,931,935,957,962,969,975,983,985,1002],[498,537,561,603,644,657,661,695,697,720,757,785,802,828,904,907,925,956,997,998,1004,1015,1019],[609,622,639,677,679,713,754,756,826,884,889,929,959,988,994,1020],[522,539,576,610,629,646,653,671,673,678,680,700,731,749,771,775,839,847,857,897,940,965,993,1021],[514,525,530,588,611,630,659,670,684,691,728,743,747,751,762,772,777,779,793,808,875,894,966,991],[548,553,585,623,641,668,709,721,733,748,783,795,816,947,963],[581,614,626,765,812,896,977],[531,566,714,832,854,883],[674,704,830,972],[672]]