[[0,1,2,3,4,5,6,7,8,9,10,12,13,14,16,18,19,20,21,22,23,24,26,27,28,30,33,34,35,37,39,40,41,42,256,257,258,262,263,264,265,266,269,270,271,272,273,274,275,276,277,278,279,280,282,283,285,288,294,300,521,530,544,565,584,610,622,640,668,683,740,755,786,788,799,807,847,851,859,871,872,877,879,888,893,899,900,909,915,917,933,934,938,950,977,982,987],[15,17,31,36,38,43,48,52,53,54,55,57,59,60,66,67,68,69,70,71,72,73,74,79,80,81,84,86,90,91,94,95,97,259,260,261,267,268,284,290,291,293,295,296,297,299,301,305,306,307,308,309,310,313,316,317,321,322,323,324,326,327,328,329,330,331,332,334,338,339,344,352,353,512,515,517,536,551,582,587,588,595,605,613,627,630,633,636,652,665,682,694,705,706,709,712,726,762,797,801,810,811,817,821,823,826,830,834,843,853,870,884,889,896,914,920,921,926,928,990,991,1005,1015,1022],{"0":11,"1":25,"2":29,"3":32,"4":46,"5":49,"6":50,"7":51,"8":61,"9":62,"10":63,"11":75,"12":76,"13":77,"14":82,"15":85,"16":88,"17":89,"18":92,"19":93,"20":100,"21":103,"22":104,"23":109,"24":112,"25":113,"26":114,"27":119,"28":120,"29":122,"30":123,"31":125,"33":127,"34":128,"35":135,"36":136,"37":143,"38":145,"39":146,"40":151,"41":153,"42":281,"43":287,"44":289,"45":302,"46":311,"47":314,"48":320,"49":325,"50":333,"51":336,"52":340,"53":342,"54":349,"55":351,"56":363,"57":365,"58":366,"59":367,"60":371,"61":372,"62":374,"63":375,"64":376,"65":377,"66":378,"67":379,"68":380,"69":381,"70":382,"71":383,"72":384,"73":385,"74":386,"75":387,"76":394,"77":397,"78":400,"79":401,"80":518,"81":527,"82":537,"83":559,"84":563,"85":581,"86":592,"87":608,"88":620,"89":643,"90":649,"91":651,"92":656,"93":659,"94":661,"95":674,"96":675,"97":690,"98":698,"99":734,"100":735,"101":736,"102":737,"103":752,"104":782,"105":790,"106":809,"107":816,"108":828,"109":833,"110":837,"111":863,"112":876,"113":880,"114":898,"115":923,"116":949,"117":956,"118":960,"119":965,"120":966,"121":973,"122":976,"123":979,"124":984,"125":988,"126":995,"127":997,"128":1020},[45,47,83,87,96,102,107,108,110,115,121,124,129,134,142,144,147,149,161,162,163,165,166,169,173,175,177,178,179,181,182,183,184,185,188,198,292,298,303,304,318,319,335,337,341,346,347,355,360,364,369,370,391,396,399,406,409,412,417,418,423,426,430,432,433,434,435,437,438,440,441,459,514,525,528,535,552,561,568,574,577,590,600,601,604,611,621,631,635,650,670,677,679,688,689,692,695,701,707,720,722,723,727,738,746,749,753,764,776,784,805,829,838,844,849,881,890,891,895,904,906,907,908,941,942,946,948,954,959,967,975,983,998,1007,1009,1013],{"0":44,"1":56,"2":58,"3":64,"4":78,"5":98,"6":101,"7":106,"8":117,"9":118,"10":130,"11":131,"12":132,"13":133,"14":137,"15":139,"16":140,"17":141,"18":152,"19":157,"20":160,"21":164,"22":176,"23":189,"24":192,"25":205,"26":211,"27":212,"28":213,"29":220,"30":223,"32":231,"33":233,"34":235,"35":236,"36":239,"37":246,"38":286,"39":312,"40":343,"41":350,"42":356,"43":357,"44":358,"45":359,"46":361,"47":362,"48":389,"49":392,"50":398,"51":404,"52":408,"53":410,"54":414,"55":419,"56":422,"57":425,"58":428,"59":436,"60":439,"61":442,"62":448,"63":454,"64":462,"65":467,"66":468,"67":471,"68":475,"69":476,"70":477,"71":479,"72":480,"73":481,"74":482,"75":483,"76":484,"78":487,"79":490,"80":491,"81":492,"82":494,"83":496,"84":498,"85":507,"86":510,"87":513,"88":516,"89":522,"90":538,"91":547,"92":548,"93":558,"94":560,"95":593,"96":609,"97":617,"98":628,"99":654,"100":662,"101":669,"102":699,"103":717,"104":741,"105":742,"106":745,"107":760,"108":769,"109":771,"110":781,"111":787,"112":798,"113":815,"114":818,"115":820,"116":831,"117":832,"118":835,"119":842,"120":848,"121":852,"122":854,"123":857,"124":858,"125":873,"126":878,"127":882,"128":919,"129":929,"130":931,"131":951,"132":996,"133":1010},[65,99,105,111,116,138,150,158,159,167,180,186,194,196,201,203,214,215,224,225,228,230,232,234,238,240,242,243,244,249,250,251,255,348,354,368,373,390,393,403,413,416,420,431,446,451,455,464,470,473,485,489,493,497,503,526,534,539,556,562,564,567,572,598,606,624,646,647,653,673,676,685,691,713,718,719,739,744,751,793,813,822,824,825,836,839,845,850,860,867,868,869,874,886,910,927,936,937,944,970,974,1003,1004,1006,1012],[148,154,155,156,168,170,171,172,174,187,193,195,197,207,208,210,217,222,315,405,407,411,415,424,443,445,447,449,450,456,460,461,463,474,488,495,502,505,511,542,555,566,570,575,578,614,632,634,645,684,686,693,700,704,748,756,766,789,791,795,841,861,862,883,887,892,894,903,912,925,930,940,955,972,980,1000,1011,1017,1018,1019],[190,191,202,204,206,209,218,219,227,237,247,248,253,345,388,395,402,427,429,444,457,465,466,469,472,499,500,504,508,531,532,540,550,591,594,597,603,618,638,639,644,658,680,681,730,743,768,792,796,806,814,875,911,935,969,992,999,1001,1016],[199,200,216,221,254,421,453,458,478,524,546,573,580,583,607,625,696,710,711,732,767,772,773,775,777,783,785,803,827,866,913,922,952,971,986],[226,241,245,252,452,501,506,519,523,529,554,571,585,589,596,615,619,642,667,763,765,779,819,918,924,945,968,989],[509,520,549,553,586,612,657,672,697,759,778,800,840,846,897,947,978],[626,655,664,678,714,728,750,794,804,902,905,957,985,1023],[541,543,557,579,616,637,648,687,754,757,774,802,864,932,963,981,993],[666,702,703,716,724,731,780,856,939,943,958,961,962,994,1002],[545,599,602,641,663,708,725,747,761,865,901,916,1008],[533,569,576,808,953,964],[733,855,1014],[671,758,770,1021],[629,660,715,721,729,812,885],[623]]