[[0,1,2,3,5,6,7,8,9,10,12,13,14,15,16,17,20,22,23,24,25,26,27,28,29,31,32,33,256,257,258,259,260,261,262,263,264,265,267,268,269,271,272,273,274,275,276,278,279,280,281,282,283,284,286,288,289,290,532,536,564,567,569,585,589,603,613,642,648,664,678,700,703,716,719,726,730,733,742,796,804,806,810,812,813,824,830,836,853,864,866,870,873,913,927,937,969,972,986,990,996,1001,1002,1013,1022],[4,11,19,30,37,38,40,41,42,43,46,48,49,50,54,55,59,62,63,64,65,66,70,71,73,79,81,266,270,277,291,292,293,295,297,299,306,308,309,310,311,316,323,324,325,326,327,334,335,338,339,520,523,544,548,549,558,559,561,572,580,581,590,609,622,644,652,682,689,691,707,732,734,740,744,751,756,769,771,772,778,788,789,793,799,801,808,817,867,874,875,878,887,895,911,918,924,926,940,943,952,960,964,966,987,1007,1021,1023],{"0":21,"1":35,"2":45,"3":51,"4":52,"5":53,"6":57,"7":60,"8":61,"9":68,"10":69,"11":74,"12":77,"13":78,"14":80,"15":82,"16":90,"17":91,"18":92,"19":96,"20":98,"21":99,"22":102,"24":104,"25":106,"26":108,"27":113,"28":119,"29":120,"30":125,"31":128,"32":129,"33":131,"34":287,"35":294,"36":296,"37":298,"38":301,"39":302,"40":304,"41":305,"42":312,"43":313,"44":315,"45":317,"46":318,"47":319,"48":320,"49":328,"50":337,"51":341,"52":347,"53":349,"54":354,"55":355,"56":358,"57":359,"59":371,"60":373,"61":375,"62":382,"63":384,"64":385,"65":386,"66":518,"67":526,"68":541,"69":550,"70":551,"71":571,"72":576,"73":578,"74":599,"75":605,"76":608,"77":618,"78":624,"79":632,"80":643,"81":649,"82":650,"83":651,"84":655,"85":668,"86":695,"87":699,"88":702,"89":706,"90":738,"91":743,"92":749,"93":752,"94":782,"95":785,"96":786,"97":787,"98":816,"99":841,"100":850,"101":851,"102":858,"103":859,"104":882,"105":890,"106":919,"107":928,"108":954,"109":974,"110":975,"111":977,"112":982,"113":983,"114":1005,"115":1016},[18,36,56,75,76,83,84,87,89,94,95,97,100,105,107,110,116,121,122,124,130,135,140,143,149,164,166,168,172,178,185,307,314,321,322,329,330,331,333,343,345,346,348,351,357,362,363,366,369,370,372,379,380,395,400,401,402,405,406,420,434,435,439,516,522,525,528,531,560,568,570,582,587,611,659,665,683,688,693,694,715,721,723,727,755,760,764,774,803,809,823,826,829,834,838,842,845,857,860,861,868,879,884,886,891,892,896,900,905,930,933,936,950,958,973,980,984,985,989,1000,1017,1018],[34,44,47,58,67,72,85,101,109,115,117,127,132,136,138,141,145,146,148,153,157,161,163,167,169,171,177,181,184,186,187,196,197,199,214,219,225,230,237,285,300,303,332,340,342,350,352,353,356,361,365,367,374,376,377,378,381,389,391,392,396,399,403,407,409,410,411,412,415,416,418,421,424,426,427,428,431,433,436,437,438,443,453,454,462,472,477,481,491,519,546,552,593,601,606,610,614,619,621,630,636,645,654,660,662,663,675,679,684,705,709,717,758,766,773,775,781,792,795,805,822,827,835,856,863,871,935,942,944,947,951,956,971,993,1003,1008],[39,86,88,112,114,123,126,142,147,150,151,152,154,158,159,165,173,175,180,182,191,193,203,205,208,209,212,218,221,224,228,231,238,241,247,249,251,344,364,383,387,388,390,394,397,404,413,414,417,419,422,423,430,447,449,450,455,456,457,459,466,473,476,479,487,489,490,492,495,500,504,509,510,513,535,539,540,542,555,557,588,592,594,597,598,602,607,627,639,657,669,710,724,729,739,745,747,754,777,780,818,880,903,907,920,929,955,959,967,995,997,1011,1014],[111,118,133,139,144,155,170,176,179,183,189,202,206,207,215,217,226,229,233,234,235,239,243,250,252,254,336,368,393,398,408,425,429,441,442,451,452,458,461,467,469,471,474,475,478,480,482,483,485,486,494,496,501,507,508,534,566,579,625,631,634,637,640,680,685,687,690,692,725,746,753,762,776,790,800,807,815,832,846,847,849,897,904,915,934,939,957,962,981,988,991,998,1006,1009,1015],[93,134,137,156,174,188,190,192,194,198,200,201,204,211,213,216,223,236,244,248,253,255,432,444,445,446,448,460,468,470,484,493,498,505,514,515,517,553,554,556,573,574,577,586,600,604,615,633,653,658,676,677,711,720,768,783,820,821,825,831,833,837,840,844,854,881,888,889,893,898,921,925,932,941,946,970,994,999,1004],[160,162,210,220,245,246,440,463,464,499,503,511,527,533,537,591,617,626,647,656,667,674,713,718,731,735,736,759,761,779,797,802,814,839,872,883,899,906,908,916,917,922,965,968,992],[222,232,240,465,488,506,524,529,530,547,562,565,575,616,623,638,681,697,701,708,714,722,728,737,741,748,757,784,794,811,855,894,923,953,961],[195,227,242,497,512,545,583,584,666,670,686,698,750,763,770,798,852,865,909,931,938,978,979,1012,1019],[502,543,596,620,628,641,646,696,819,828,843,885,914,949,1020],[595,612,635,671,672,848,862,902,910,963],[521,661,712,765,869,877,912,948,976,1010],[563,767,901,945],[538,673,704,876],[629,791]]