[[0,1,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,23,26,28,35,36,38,40,41,42,44,45,47,49,50,256,261,262,265,266,268,269,270,271,272,276,277,279,280,283,284,287,289,291,293,294,295,298,299,304,305,306,514,517,523,533,534,536,538,539,548,562,570,581,585,589,592,596,601,614,620,630,636,640,656,661,664,665,666,674,676,681,683,695,709,719,729,734,739,745,753,759,780,781,784,789,798,802,819,825,837,841,861,870,882,899,905,909,912,920,925,932,937,945,948,949,955,957,958,967,978,986,995,1010,1018],[2,6,8,21,22,25,29,31,32,33,34,37,46,48,52,58,60,62,63,67,69,70,71,73,80,87,90,96,260,264,274,275,281,282,285,286,288,290,292,296,297,300,301,302,303,307,310,312,314,315,316,317,319,321,322,325,326,327,330,331,333,341,342,345,353,358,513,519,522,524,529,531,541,550,555,556,563,571,574,588,599,610,629,637,639,646,652,655,662,667,668,671,689,694,697,708,710,713,735,742,751,755,760,763,769,774,786,787,788,799,800,801,803,830,835,838,846,847,853,856,857,859,860,866,867,873,875,879,885,888,901,906,908,915,926,929,946,951,952,953,960,963,984,988,1019,1020],{"0":27,"1":30,"2":39,"3":56,"4":65,"5":66,"6":74,"7":77,"8":86,"9":89,"10":92,"11":93,"12":97,"13":98,"14":99,"15":100,"16":108,"17":109,"18":113,"19":115,"20":125,"21":126,"22":130,"23":135,"24":136,"25":143,"26":147,"27":150,"28":154,"29":156,"30":162,"31":257,"32":258,"33":259,"34":263,"35":273,"36":278,"37":311,"38":320,"39":329,"40":332,"41":336,"42":343,"43":346,"44":350,"45":351,"46":352,"47":354,"48":356,"49":357,"50":359,"51":360,"52":361,"53":370,"55":372,"56":376,"57":379,"58":380,"59":385,"60":404,"61":406,"62":525,"63":540,"64":546,"65":559,"66":577,"67":582,"68":602,"69":603,"70":607,"71":612,"72":638,"73":644,"74":647,"75":648,"76":654,"77":660,"78":672,"79":675,"80":677,"81":690,"82":702,"83":711,"84":717,"85":728,"86":733,"87":737,"88":738,"89":748,"90":754,"91":765,"92":772,"93":797,"94":805,"95":807,"96":812,"97":828,"98":832,"99":850,"100":851,"101":854,"102":868,"103":874,"104":883,"105":893,"106":895,"107":903,"108":914,"109":923,"110":931,"111":934,"112":936,"113":938,"114":939,"115":943,"116":947,"117":962,"118":969,"119":983,"120":999,"121":1000,"122":1005,"123":1006,"124":1013,"125":1017,"126":1022,"127":1023},{"0":43,"1":51,"2":54,"3":55,"4":59,"5":61,"6":68,"7":72,"8":76,"9":83,"10":85,"11":91,"12":101,"13":102,"14":103,"15":104,"16":105,"17":114,"18":120,"19":131,"20":134,"21":139,"22":145,"23":151,"24":152,"25":155,"26":161,"27":163,"28":185,"29":186,"30":187,"31":189,"32":199,"33":203,"34":267,"35":308,"36":313,"37":323,"38":328,"39":334,"40":335,"41":337,"42":340,"43":347,"44":349,"45":355,"46":363,"47":367,"48":368,"49":374,"50":381,"51":382,"52":388,"53":393,"54":398,"55":399,"56":401,"57":405,"58":408,"59":410,"60":412,"61":413,"62":416,"63":418,"64":423,"65":424,"66":425,"67":430,"68":431,"70":439,"71":446,"72":447,"73":451,"74":464,"75":467,"76":474,"77":521,"78":532,"79":543,"80":545,"81":557,"82":564,"83":566,"84":572,"85":586,"86":593,"87":594,"88":611,"89":623,"90":632,"91":651,"92":704,"93":712,"94":714,"95":715,"96":720,"97":727,"98":757,"99":758,"100":761,"101":762,"102":764,"103":778,"104":783,"105":794,"106":796,"107":810,"108":823,"109":831,"110":834,"111":843,"112":848,"113":858,"114":862,"115":872,"116":877,"117":878,"118":886,"119":891,"120":896,"121":902,"122":913,"123":924,"124":928,"125":976,"126":980,"127":987,"128":991,"129":1001,"130":1007,"131":1012},[24,57,64,84,106,107,110,111,112,117,118,119,122,123,124,127,128,132,133,138,141,142,144,146,148,153,159,166,170,171,174,177,178,188,190,195,196,205,207,210,211,239,240,247,249,309,318,324,339,344,362,366,373,378,383,386,389,390,391,392,394,395,396,400,402,403,415,419,422,426,428,429,437,440,441,442,443,444,450,454,455,456,459,460,463,468,470,486,488,490,492,497,506,510,565,576,579,580,590,597,598,617,626,631,641,643,658,663,669,678,682,696,698,707,716,718,725,752,767,770,775,795,808,809,814,817,833,855,876,887,889,892,900,919,922,933,950,964,970,973,985,993,994],[75,78,79,82,88,94,95,129,140,158,160,167,168,169,172,173,175,176,182,183,184,193,197,200,202,204,206,208,209,215,217,222,226,228,229,231,232,242,243,244,246,253,338,348,364,365,375,377,387,397,411,420,427,436,438,445,449,457,458,471,472,473,475,476,482,483,487,491,494,495,505,526,527,549,558,568,595,600,618,642,650,679,684,691,692,699,722,723,730,741,746,768,773,776,777,782,792,806,815,871,904,918,930,974,992,998,1003,1016],[53,81,116,121,137,149,157,164,165,179,180,181,194,198,216,218,219,220,224,227,230,234,237,238,241,245,248,251,369,384,407,421,433,434,448,453,479,493,500,502,503,508,509,518,544,547,554,560,605,606,608,613,645,659,685,700,703,706,731,736,743,749,804,811,826,839,845,849,881,884,890,911,940,959,971,975,977,982,989,990,1008],[191,192,212,213,214,225,233,236,255,409,414,417,452,461,462,465,469,478,480,481,484,485,499,501,516,530,537,561,567,569,573,575,584,591,609,625,635,649,657,670,673,688,732,750,766,771,790,816,818,827,836,844,864,897,898,907,941,942,961,972,1014],[201,221,223,235,250,254,435,466,477,489,496,498,507,515,542,551,553,619,621,634,653,680,687,693,724,744,756,779,793,821,829,840,842,869,916,954,956,965,966,981,1002],[252,504,511,604,615,628,633,686,721,726,740,791,820,824,865,927,944,1009,1011,1021],[535,552,578,583,616,627,747,785,813,822,863,921,996,1004],[512,520,587,701,705,852,894,917,935,997],[528,622,624,880,910,968,1015],[979]]