[[0,1,2,4,5,7,9,11,12,13,14,15,16,17,18,19,22,23,24,25,27,28,30,31,32,33,35,36,37,39,42,43,44,45,47,256,257,260,261,262,263,264,265,266,268,269,270,271,272,273,274,275,276,277,278,280,282,284,286,288,289,290,291,293,295,298,301,302,303,539,543,544,553,554,564,572,577,580,586,594,595,596,612,620,626,653,660,669,675,678,680,685,690,691,697,709,711,714,722,756,794,798,828,833,841,858,862,863,867,893,909,916,926,928,933,937,949,957,985,987,994,997,999,1000,1001,1003,1011,1020],[3,8,20,21,29,34,38,41,48,49,50,53,55,56,57,58,59,60,63,65,66,67,69,71,76,77,79,83,84,87,88,89,258,279,283,285,296,299,300,304,308,310,311,312,316,317,318,319,320,321,322,324,325,327,328,329,330,331,334,335,337,339,341,343,345,515,522,529,558,560,575,583,604,607,625,629,631,632,637,640,643,654,658,670,686,688,695,696,701,704,715,716,727,740,751,766,787,808,811,818,865,879,890,899,907,922,951,952,967,972,986,1017],{"0":10,"1":40,"2":46,"3":51,"4":52,"5":54,"6":61,"7":62,"9":70,"10":73,"11":74,"12":78,"13":80,"14":82,"15":90,"16":91,"17":92,"18":93,"19":94,"20":96,"21":97,"22":100,"23":101,"24":104,"25":106,"26":107,"27":109,"28":115,"29":117,"30":120,"31":123,"32":124,"33":125,"34":132,"35":134,"36":137,"37":138,"38":142,"39":155,"40":259,"41":292,"42":297,"43":305,"44":306,"45":309,"46":313,"47":314,"48":315,"50":326,"51":338,"52":344,"53":346,"54":348,"55":350,"56":351,"57":353,"58":356,"59":363,"60":364,"61":365,"62":367,"63":370,"64":372,"65":380,"66":385,"67":393,"68":395,"69":396,"70":400,"71":404,"72":406,"73":413,"74":414,"75":516,"76":520,"77":528,"78":535,"79":537,"80":551,"81":552,"82":567,"83":585,"84":587,"85":590,"86":606,"87":615,"88":616,"89":617,"90":621,"91":635,"92":645,"93":651,"94":664,"95":667,"96":677,"97":681,"98":689,"99":692,"100":702,"101":731,"102":742,"103":744,"104":755,"105":763,"106":771,"107":791,"108":792,"109":797,"110":810,"111":823,"112":830,"113":837,"114":840,"115":845,"116":846,"117":848,"118":856,"119":872,"120":886,"121":889,"122":894,"123":908,"124":914,"125":917,"126":921,"127":927,"128":929,"129":930,"130":947,"131":960,"132":978,"133":983,"134":991,"135":992,"136":998,"137":1004,"138":1010,"139":1012,"140":1014,"141":1018,"142":1023},{"0":75,"1":81,"2":95,"3":98,"4":102,"5":108,"7":111,"8":112,"10":114,"11":118,"12":119,"13":121,"14":126,"15":135,"16":136,"17":145,"18":146,"19":147,"20":149,"21":150,"22":151,"23":157,"24":158,"25":161,"26":163,"27":169,"28":178,"29":182,"30":185,"31":191,"32":197,"33":203,"34":214,"35":215,"36":219,"37":267,"38":332,"39":333,"40":342,"41":347,"42":352,"43":362,"44":366,"45":368,"46":373,"47":375,"48":378,"49":379,"50":381,"51":382,"52":383,"53":387,"54":392,"55":394,"56":399,"57":401,"58":402,"59":403,"60":405,"61":408,"62":417,"63":422,"64":424,"65":428,"66":430,"67":431,"68":432,"69":440,"70":450,"71":457,"72":467,"73":513,"74":521,"75":534,"76":536,"77":540,"78":541,"79":548,"80":557,"81":563,"82":579,"83":584,"84":588,"85":592,"86":603,"87":622,"88":652,"89":661,"90":663,"91":665,"92":673,"93":682,"94":687,"95":703,"96":707,"97":712,"98":717,"99":721,"100":734,"101":737,"102":748,"103":758,"104":770,"105":773,"106":782,"107":788,"108":793,"109":801,"110":802,"111":805,"112":829,"113":832,"114":835,"115":849,"116":852,"117":860,"118":868,"119":874,"120":875,"121":876,"122":877,"123":911,"124":931,"125":935,"126":936,"127":941,"128":942,"129":948,"130":964,"131":968,"132":971,"133":974,"134":975,"135":979,"136":980,"137":988,"138":995,"139":996,"140":1016,"141":1021,"142":1022},{"0":6,"1":26,"2":72,"3":85,"4":86,"5":99,"6":103,"7":105,"8":116,"9":122,"10":127,"11":129,"12":130,"13":133,"14":144,"15":148,"16":153,"17":154,"18":156,"19":159,"20":160,"21":162,"22":167,"23":170,"24":171,"25":172,"26":173,"27":174,"29":177,"30":186,"31":187,"32":192,"33":193,"34":194,"35":196,"36":198,"37":201,"38":202,"39":205,"40":206,"41":207,"42":209,"43":211,"44":217,"45":223,"46":229,"47":231,"48":232,"49":242,"50":253,"51":281,"52":287,"53":294,"54":340,"55":357,"56":359,"57":360,"58":361,"59":369,"60":376,"61":384,"62":386,"63":388,"64":389,"65":390,"66":391,"67":397,"68":398,"69":407,"70":410,"71":411,"72":412,"73":416,"74":421,"75":425,"76":433,"77":438,"78":441,"79":442,"80":443,"81":444,"82":446,"83":447,"84":448,"86":453,"87":455,"88":458,"89":459,"90":460,"91":463,"92":465,"93":468,"94":469,"95":471,"96":474,"97":481,"98":486,"99":491,"100":506,"101":507,"102":524,"103":547,"104":571,"105":573,"106":593,"107":613,"108":618,"109":627,"110":639,"111":646,"112":648,"113":684,"114":698,"115":723,"116":726,"117":736,"118":746,"119":753,"120":772,"121":809,"122":838,"123":839,"124":851,"125":854,"126":895,"127":903,"128":910,"129":932,"130":993,"131":1002,"132":1009},{"0":131,"1":140,"2":143,"3":166,"4":179,"5":183,"6":189,"7":190,"8":195,"9":199,"10":200,"11":210,"12":216,"13":220,"14":227,"15":235,"16":236,"17":237,"18":239,"19":246,"20":247,"21":248,"22":249,"23":250,"24":251,"25":254,"26":255,"27":307,"28":336,"29":349,"30":355,"31":358,"32":371,"33":374,"34":409,"35":415,"36":418,"37":426,"38":427,"39":439,"40":452,"41":454,"42":456,"43":466,"44":470,"45":472,"46":473,"47":475,"48":476,"49":477,"50":478,"51":479,"52":482,"53":484,"54":485,"55":488,"56":489,"57":492,"59":498,"60":504,"61":526,"62":530,"63":533,"64":546,"65":549,"66":550,"67":555,"68":568,"69":570,"70":581,"71":589,"72":591,"73":602,"74":614,"75":623,"76":676,"77":699,"78":700,"79":720,"80":732,"81":735,"82":754,"83":759,"84":761,"85":767,"86":768,"87":769,"88":774,"89":777,"90":779,"91":781,"92":799,"93":816,"94":817,"95":822,"96":844,"97":853,"98":882,"99":884,"100":897,"101":898,"102":902,"103":943,"104":955,"105":961,"106":965},[64,128,139,141,152,168,175,204,212,221,222,230,234,238,240,241,244,252,354,377,420,435,437,445,451,461,464,487,490,494,495,499,500,503,505,508,510,511,512,525,531,532,569,576,597,598,609,624,649,650,668,693,694,713,724,730,750,752,784,796,842,855,857,871,880,887,892,906,918,946,966,970,984,1006,1013],{"0":164,"1":165,"2":180,"3":181,"4":184,"5":188,"6":208,"7":213,"8":225,"9":233,"10":245,"11":429,"12":434,"13":436,"14":518,"15":519,"16":538,"17":556,"18":562,"19":565,"20":600,"21":610,"22":634,"23":642,"25":655,"26":656,"27":657,"28":679,"29":710,"30":728,"31":741,"32":747,"33":757,"34":762,"35":778,"36":783,"37":789,"38":803,"39":804,"40":807,"41":812,"42":821,"43":825,"44":826,"45":834,"46":850,"47":870,"48":883,"49":885,"50":896,"51":900,"52":901,"53":912,"54":915,"55":923,"56":924,"57":944,"58":953,"59":954,"60":981,"61":982,"62":989,"63":1015},[218,224,228,419,423,462,496,501,509,514,527,542,559,582,608,611,628,638,641,644,659,674,705,708,719,733,738,743,745,764,776,800,843,864,888,891,919,940,950,963,976],[226,243,480,497,502,574,599,633,672,718,760,765,775,785,786,790,824,831,847,869,878,881,925,934,959,969,973,977,1005,1008],[483,523,561,630,636,662,671,739,780,806,819,904,913,938,945,956,962],[517,545,601,605,795,813,814,861,866,873],[578,666,905,958,1019],[820,827,859,920],[815,939,1007],[619,683,749],[566,706,729,836],[725]]