[[0,2,3,4,5,6,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,27,31,33,35,36,37,38,40,42,43,45,46,257,262,263,264,265,266,267,268,269,272,273,274,277,278,280,281,282,283,285,287,288,291,293,294,295,296,297,301,302,514,523,529,541,548,551,553,559,571,590,598,607,610,620,629,637,638,657,663,676,695,699,713,742,752,754,768,776,780,797,808,811,829,854,866,873,875,892,901,918,921,955,971,981,1013,1019,1021],[1,7,8,16,30,32,34,41,47,51,52,54,55,56,60,62,63,64,66,71,72,73,75,77,78,80,82,85,86,87,93,95,96,104,256,259,260,261,270,271,275,276,279,284,286,290,292,298,300,303,304,305,307,310,312,315,317,321,322,326,327,328,329,335,336,340,341,343,344,349,350,351,354,355,356,359,360,512,516,554,558,568,569,574,595,621,627,644,649,658,661,664,673,674,687,711,712,737,745,756,757,773,790,793,800,809,831,832,851,853,855,878,879,883,884,889,890,893,904,947,952,959,980,987,993,997,1007,1018,1020,1023],{"0":15,"1":26,"2":28,"3":44,"4":48,"5":49,"6":57,"7":58,"8":61,"9":65,"10":67,"11":68,"12":69,"13":70,"14":74,"15":76,"16":79,"17":84,"18":90,"19":91,"20":92,"21":97,"22":99,"23":101,"24":105,"26":113,"27":115,"28":119,"29":132,"30":134,"31":138,"32":139,"33":141,"34":147,"35":148,"36":152,"37":157,"38":289,"39":299,"40":306,"41":309,"42":314,"43":316,"44":318,"45":320,"46":323,"47":324,"48":330,"49":331,"50":332,"51":333,"52":338,"53":342,"54":347,"55":352,"56":353,"57":357,"58":358,"59":361,"60":368,"61":369,"62":371,"63":373,"64":374,"65":375,"66":376,"67":379,"68":385,"69":387,"70":388,"71":389,"72":390,"73":398,"74":402,"75":406,"76":407,"77":410,"78":412,"79":572,"80":576,"81":603,"82":606,"83":611,"84":619,"85":623,"86":626,"87":633,"88":659,"89":662,"90":667,"91":670,"92":688,"93":697,"94":707,"95":708,"96":716,"97":723,"98":726,"99":729,"100":731,"101":732,"102":748,"103":777,"104":786,"105":814,"106":816,"107":835,"108":845,"109":860,"110":869,"111":870,"112":880,"113":886,"114":897,"115":902,"116":909,"117":916,"118":917,"119":930,"120":938,"121":944,"122":945,"123":946,"124":960,"125":965,"126":967,"127":968,"128":977,"129":989,"130":1000,"131":1008,"132":1011,"133":1012,"134":1015},{"0":39,"1":50,"2":53,"3":83,"4":88,"5":100,"6":103,"7":106,"8":107,"9":112,"10":116,"11":118,"12":122,"13":123,"14":124,"15":125,"16":126,"17":127,"18":128,"19":129,"20":130,"21":131,"22":133,"23":137,"24":140,"25":143,"26":144,"27":145,"28":149,"29":150,"30":153,"31":154,"32":155,"33":156,"34":163,"35":168,"36":169,"37":171,"38":175,"39":196,"40":200,"41":202,"42":204,"43":208,"44":213,"45":258,"46":308,"47":311,"48":313,"49":325,"50":334,"51":337,"52":339,"53":345,"54":348,"55":364,"56":372,"57":378,"58":380,"59":381,"60":382,"61":383,"62":384,"63":391,"64":392,"65":393,"66":394,"67":395,"68":396,"69":397,"70":399,"71":403,"72":404,"73":408,"74":411,"75":414,"76":415,"77":416,"79":426,"80":432,"81":433,"82":442,"83":443,"84":449,"85":453,"86":454,"87":455,"88":456,"89":460,"90":465,"91":467,"92":469,"93":470,"94":517,"95":525,"96":540,"97":547,"98":577,"99":587,"100":600,"101":605,"102":616,"103":625,"104":650,"105":669,"106":714,"107":715,"108":719,"109":724,"110":727,"111":739,"112":741,"113":753,"114":755,"115":765,"116":770,"117":772,"118":774,"119":801,"120":805,"121":806,"122":815,"123":825,"124":839,"125":863,"126":872,"127":895,"128":931,"129":933,"130":937,"131":957,"132":973,"133":976,"134":982,"135":983,"136":992,"137":1004,"138":1009},{"0":29,"1":89,"2":94,"3":108,"4":109,"5":110,"6":114,"7":117,"8":120,"9":121,"10":135,"11":136,"12":146,"13":158,"14":159,"15":161,"16":164,"17":165,"18":166,"19":170,"20":176,"21":177,"22":180,"23":181,"24":182,"25":184,"26":185,"27":186,"28":187,"29":188,"30":189,"31":190,"32":192,"33":193,"34":194,"35":197,"36":198,"37":199,"38":205,"39":207,"40":209,"41":210,"42":212,"43":215,"44":217,"46":221,"47":222,"48":223,"49":235,"50":238,"51":249,"52":255,"53":346,"54":365,"55":367,"56":377,"57":386,"58":405,"59":409,"60":413,"61":417,"62":418,"63":420,"64":422,"65":424,"66":427,"67":431,"68":434,"69":435,"70":436,"71":437,"72":438,"73":439,"74":440,"75":441,"76":444,"77":445,"78":446,"79":447,"80":450,"81":452,"82":457,"83":461,"84":462,"85":464,"86":468,"87":471,"88":472,"89":473,"90":474,"92":478,"93":479,"94":480,"95":481,"96":504,"97":526,"98":527,"99":564,"100":566,"101":617,"102":635,"103":648,"104":672,"105":675,"106":680,"107":706,"108":709,"109":720,"110":735,"111":759,"112":764,"113":787,"114":789,"115":802,"116":828,"117":833,"118":834,"119":841,"120":843,"121":859,"122":864,"123":905,"124":908,"125":912,"126":935,"127":943,"128":978,"129":988,"130":994,"131":1001},[59,102,151,160,167,173,174,178,191,195,211,214,216,218,219,224,225,226,227,228,229,230,231,232,233,237,239,241,243,244,245,247,248,251,252,253,254,319,419,421,423,429,448,451,458,459,484,485,486,487,488,494,495,498,499,500,501,502,503,505,508,509,511,519,524,539,542,565,570,581,622,647,655,678,692,698,721,728,736,746,761,769,782,812,824,830,847,862,894,911,950,958,962,979,990,1005],[81,142,179,183,201,206,236,246,366,400,463,475,476,482,489,490,493,506,507,510,534,536,545,567,585,601,609,677,691,700,703,730,734,738,740,743,749,775,778,779,799,810,821,827,852,856,861,865,896,906,915,919,920,934,936,939,953,954,956,963,964,984,1016],[98,203,234,240,242,250,362,491,492,496,497,530,535,543,552,556,575,589,602,608,615,624,643,646,652,665,681,682,686,689,694,722,758,784,788,795,818,849,850,885,899,907,925,929,942,949,966,970,986,999,1003,1006],[162,363,370,401,430,466,522,555,557,563,573,578,584,586,588,597,628,634,642,656,668,679,684,685,701,704,760,762,798,817,823,840,868,898,903,914,924,927,928,941,972,974,998],[172,428,483,515,533,550,560,594,630,636,654,683,702,705,710,744,750,771,781,783,792,813,838,844,876,877,891,932,961,995,1010],[531,537,562,592,599,618,671,733,785,791,794,796,819,826,887,888,923,948,991],[521,532,593,640,645,653,751,807,837,867,874,881,913,985,1017,1022],[538,549,604,631,666,820,822,836,858,926,969,1014],[518,528,582,591,613,614,696,803,804,842,882,922,1002],[546,596,651,725,766,846,871,900,910,951],[612,632,660,747,767,848],[561,579,580,639,641,693,718,996],[513,520,544,763,940],[690],[975],[717,857],[583]]