[[0, 5, 27, 1, 24, 30, 36, 42, 40, 54, 50, 66, 60, 57, 70, 75, 58, 6, 11, 35, 33, 26, 31, 59, 8, 61, 77, 56, 62, 16, 10, 28, 34, 7, 64, 38, 12, 65, 32, 76, 3, 47, 14, 67, 41, 15, 72, 45, 51, 69, 63, 17, 23, 2, 18, 71, 20, 48, 53, 46, 44, 68, 73, 21, 4, 9, 22, 19, 13, 29, 25, 39, 37, 43, 49, 55, 78, 52, 74], [75, 1, 6, 28, 2, 25, 31, 37, 43, 41, 55, 51, 67, 61, 58, 71, 76, 59, 7, 12, 36, 34, 27, 32, 60, 9, 62, 78, 57, 63, 17, 11, 29, 35, 8, 65, 39, 13, 66, 33, 77, 4, 48, 15, 68, 42, 16, 73, 46, 52, 70, 64, 18, 24, 3, 19, 72, 21, 49, 54, 47, 45, 69, 74, 22, 5, 10, 23, 20, 14, 30, 26, 40, 38, 44, 50, 56, 0, 53], [54, 76, 2, 7, 29, 3, 26, 32, 38, 44, 42, 56, 52, 68, 62, 59, 72, 77, 60, 8, 13, 37, 35, 28, 33, 61, 10, 63, 0, 58, 64, 18, 12, 30, 36, 9, 66, 40, 14, 67, 34, 78, 5, 49, 16, 69, 43, 17, 74, 47, 53, 71, 65, 19, 25, 4, 20, 73, 22, 50, 55, 48, 46, 70, 75, 23, 6, 11, 24, 21, 15, 31, 27, 41, 39, 45, 51, 57, 1], [2, 55, 77, 3, 8, 30, 4, 27, 33, 39, 45, 43, 57, 53, 69, 63, 60, 73, 78, 61, 9, 14, 38, 36, 29, 34, 62, 11, 64, 1, 59, 65, 19, 13, 31, 37, 10, 67, 41, 15, 68, 35, 0, 6, 50, 17, 70, 44, 18, 75, 48, 54, 72, 66, 20, 26, 5, 21, 74, 23, 51, 56, 49, 47, 71, 76, 24, 7, 12, 25, 22, 16, 32, 28, 42, 40, 46, 52, 58], [59, 3, 56, 78, 4, 9, 31, 5, 28, 34, 40, 46, 44, 58, 54, 70, 64, 61, 74, 0, 62, 10, 15, 39, 37, 30, 35, 63, 12, 65, 2, 60, 66, 20, 14, 32, 38, 11, 68, 42, 16, 69, 36, 1, 7, 51, 18, 71, 45, 19, 76, 49, 55, 73, 67, 21, 27, 6, 22, 75, 24, 52, 57, 50, 48, 72, 77, 25, 8, 13, 26, 23, 17, 33, 29, 43, 41, 47, 53], [54, 60, 4, 57, 0, 5, 10, 32, 6, 29, 35, 41, 47, 45, 59, 55, 71, 65, 62, 75, 1, 63, 11, 16, 40, 38, 31, 36, 64, 13, 66, 3, 61, 67, 21, 15, 33, 39, 12, 69, 43, 17, 70, 37, 2, 8, 52, 19, 72, 46, 20, 77, 50, 56, 74, 68, 22, 28, 7, 23, 76, 25, 53, 58, 51, 49, 73, 78, 26, 9, 14, 27, 24, 18, 34, 30, 44, 42, 48], [49, 55, 61, 5, 58, 1, 6, 11, 33, 7, 30, 36, 42, 48, 46, 60, 56, 72, 66, 63, 76, 2, 64, 12, 17, 41, 39, 32, 37, 65, 14, 67, 4, 62, 68, 22, 16, 34, 40, 13, 70, 44, 18, 71, 38, 3, 9, 53, 20, 73, 47, 21, 78, 51, 57, 75, 69, 23, 29, 8, 24, 77, 26, 54, 59, 52, 50, 74, 0, 27, 10, 15, 28, 25, 19, 35, 31, 45, 43], [44, 50, 56, 62, 6, 59, 2, 7, 12, 34, 8, 31, 37, 43, 49, 47, 61, 57, 73, 67, 64, 77, 3, 65, 13, 18, 42, 40, 33, 38, 66, 15, 68, 5, 63, 69, 23, 17, 35, 41, 14, 71, 45, 19, 72, 39, 4, 10, 54, 21, 74, 48, 22, 0, 52, 58, 76, 70, 24, 30, 9, 25, 78, 27, 55, 60, 53, 51, 75, 1, 28, 11, 16, 29, 26, 20, 36, 32, 46], [47, 45, 51, 57, 63, 7, 60, 3, 8, 13, 35, 9, 32, 38, 44, 50, 48, 62, 58, 74, 68, 65, 78, 4, 66, 14, 19, 43, 41, 34, 39, 67, 16, 69, 6, 64, 70, 24, 18, 36, 42, 15, 72, 46, 20, 73, 40, 5, 11, 55, 22, 75, 49, 23, 1, 53, 59, 77, 71, 25, 31, 10, 26, 0, 28, 56, 61, 54, 52, 76, 2, 29, 12, 17, 30, 27, 21, 37, 33], [34, 48, 46, 52, 58, 64, 8, 61, 4, 9, 14, 36, 10, 33, 39, 45, 51, 49, 63, 59, 75, 69, 66, 0, 5, 67, 15, 20, 44, 42, 35, 40, 68, 17, 70, 7, 65, 71, 25, 19, 37, 43, 16, 73, 47, 21, 74, 41, 6, 12, 56, 23, 76, 50, 24, 2, 54, 60, 78, 72, 26, 32, 11, 27, 1, 29, 57, 62, 55, 53, 77, 3, 30, 13, 18, 31, 28, 22, 38], [39, 35, 49, 47, 53, 59, 65, 9, 62, 5, 10, 15, 37, 11, 34, 40, 46, 52, 50, 64, 60, 76, 70, 67, 1, 6, 68, 16, 21, 45, 43, 36, 41, 69, 18, 71, 8, 66, 72, 26, 20, 38, 44, 17, 74, 48, 22, 75, 42, 7, 13, 57, 24, 77, 51, 25, 3, 55, 61, 0, 73, 27, 33, 12, 28, 2, 30, 58, 63, 56, 54, 78, 4, 31, 14, 19, 32, 29, 23], [24, 40, 36, 50, 48, 54, 60, 66, 10, 63, 6, 11, 16, 38, 12, 35, 41, 47, 53, 51, 65, 61, 77, 71, 68, 2, 7, 69, 17, 22, 46, 44, 37, 42, 70, 19, 72, 9, 67, 73, 27, 21, 39, 45, 18, 75, 49, 23, 76, 43, 8, 14, 58, 25, 78, 52, 26, 4, 56, 62, 1, 74, 28, 34, 13, 29, 3, 31, 59, 64, 57, 55, 0, 5, 32, 15, 20, 33, 30], [31, 25, 41, 37, 51, 49, 55, 61, 67, 11, 64, 7, 12, 17, 39, 13, 36, 42, 48, 54, 52, 66, 62, 78, 72, 69, 3, 8, 70, 18, 23, 47, 45, 38, 43, 71, 20, 73, 10, 68, 74, 28, 22, 40, 46, 19, 76, 50, 24, 77, 44, 9, 15, 59, 26, 0, 53, 27, 5, 57, 63, 2, 75, 29, 35, 14, 30, 4, 32, 60, 65, 58, 56, 1, 6, 33, 16, 21, 34], [35, 32, 26, 42, 38, 52, 50, 56, 62, 68, 12, 65, 8, 13, 18, 40, 14, 37, 43, 49, 55, 53, 67, 63, 0, 73, 70, 4, 9, 71, 19, 24, 48, 46, 39, 44, 72, 21, 74, 11, 69, 75, 29, 23, 41, 47, 20, 77, 51, 25, 78, 45, 10, 16, 60, 27, 1, 54, 28, 6, 58, 64, 3, 76, 30, 36, 15, 31, 5, 33, 61, 66, 59, 57, 2, 7, 34, 17, 22], [23, 36, 33, 27, 43, 39, 53, 51, 57, 63, 69, 13, 66, 9, 14, 19, 41, 15, 38, 44, 50, 56, 54, 68, 64, 1, 74, 71, 5, 10, 72, 20, 25, 49, 47, 40, 45, 73, 22, 75, 12, 70, 76, 30, 24, 42, 48, 21, 78, 52, 26, 0, 46, 11, 17, 61, 28, 2, 55, 29, 7, 59, 65, 4, 77, 31, 37, 16, 32, 6, 34, 62, 67, 60, 58, 3, 8, 35, 18], [19, 24, 37, 34, 28, 44, 40, 54, 52, 58, 64, 70, 14, 67, 10, 15, 20, 42, 16, 39, 45, 51, 57, 55, 69, 65, 2, 75, 72, 6, 11, 73, 21, 26, 50, 48, 41, 46, 74, 23, 76, 13, 71, 77, 31, 25, 43, 49, 22, 0, 53, 27, 1, 47, 12, 18, 62, 29, 3, 56, 30, 8, 60, 66, 5, 78, 32, 38, 17, 33, 7, 35, 63, 68, 61, 59, 4, 9, 36], [37, 20, 25, 38, 35, 29, 45, 41, 55, 53, 59, 65, 71, 15, 68, 11, 16, 21, 43, 17, 40, 46, 52, 58, 56, 70, 66, 3, 76, 73, 7, 12, 74, 22, 27, 51, 49, 42, 47, 75, 24, 77, 14, 72, 78, 32, 26, 44, 50, 23, 1, 54, 28, 2, 48, 13, 19, 63, 30, 4, 57, 31, 9, 61, 67, 6, 0, 33, 39, 18, 34, 8, 36, 64, 69, 62, 60, 5, 10], [11, 38, 21, 26, 39, 36, 30, 46, 42, 56, 54, 60, 66, 72, 16, 69, 12, 17, 22, 44, 18, 41, 47, 53, 59, 57, 71, 67, 4, 77, 74, 8, 13, 75, 23, 28, 52, 50, 43, 48, 76, 25, 78, 15, 73, 0, 33, 27, 45, 51, 24, 2, 55, 29, 3, 49, 14, 20, 64, 31, 5, 58, 32, 10, 62, 68, 7, 1, 34, 40, 19, 35, 9, 37, 65, 70, 63, 61, 6], [7, 12, 39, 22, 27, 40, 37, 31, 47, 43, 57, 55, 61, 67, 73, 17, 70, 13, 18, 23, 45, 19, 42, 48, 54, 60, 58, 72, 68, 5, 78, 75, 9, 14, 76, 24, 29, 53, 51, 44, 49, 77, 26, 0, 16, 74, 1, 34, 28, 46, 52, 25, 3, 56, 30, 4, 50, 15, 21, 65, 32, 6, 59, 33, 11, 63, 69, 8, 2, 35, 41, 20, 36, 10, 38, 66, 71, 64, 62], [63, 8, 13, 40, 23, 28, 41, 38, 32, 48, 44, 58, 56, 62, 68, 74, 18, 71, 14, 19, 24, 46, 20, 43, 49, 55, 61, 59, 73, 69, 6, 0, 76, 10, 15, 77, 25, 30, 54, 52, 45, 50, 78, 27, 1, 17, 75, 2, 35, 29, 47, 53, 26, 4, 57, 31, 5, 51, 16, 22, 66, 33, 7, 60, 34, 12, 64, 70, 9, 3, 36, 42, 21, 37, 11, 39, 67, 72, 65], [66, 64, 9, 14, 41, 24, 29, 42, 39, 33, 49, 45, 59, 57, 63, 69, 75, 19, 72, 15, 20, 25, 47, 21, 44, 50, 56, 62, 60, 74, 70, 7, 1, 77, 11, 16, 78, 26, 31, 55, 53, 46, 51, 0, 28, 2, 18, 76, 3, 36, 30, 48, 54, 27, 5, 58, 32, 6, 52, 17, 23, 67, 34, 8, 61, 35, 13, 65, 71, 10, 4, 37, 43, 22, 38, 12, 40, 68, 73], [74, 67, 65, 10, 15, 42, 25, 30, 43, 40, 34, 50, 46, 60, 58, 64, 70, 76, 20, 73, 16, 21, 26, 48, 22, 45, 51, 57, 63, 61, 75, 71, 8, 2, 78, 12, 17, 0, 27, 32, 56, 54, 47, 52, 1, 29, 3, 19, 77, 4, 37, 31, 49, 55, 28, 6, 59, 33, 7, 53, 18, 24, 68, 35, 9, 62, 36, 14, 66, 72, 11, 5, 38, 44, 23, 39, 13, 41, 69], [70, 75, 68, 66, 11, 16, 43, 26, 31, 44, 41, 35, 51, 47, 61, 59, 65, 71, 77, 21, 74, 17, 22, 27, 49, 23, 46, 52, 58, 64, 62, 76, 72, 9, 3, 0, 13, 18, 1, 28, 33, 57, 55, 48, 53, 2, 30, 4, 20, 78, 5, 38, 32, 50, 56, 29, 7, 60, 34, 8, 54, 19, 25, 69, 36, 10, 63, 37, 15, 67, 73, 12, 6, 39, 45, 24, 40, 14, 42], [43, 71, 76, 69, 67, 12, 17, 44, 27, 32, 45, 42, 36, 52, 48, 62, 60, 66, 72, 78, 22, 75, 18, 23, 28, 50, 24, 47, 53, 59, 65, 63, 77, 73, 10, 4, 1, 14, 19, 2, 29, 34, 58, 56, 49, 54, 3, 31, 5, 21, 0, 6, 39, 33, 51, 57, 30, 8, 61, 35, 9, 55, 20, 26, 70, 37, 11, 64, 38, 16, 68, 74, 13, 7, 40, 46, 25, 41, 15], [16, 44, 72, 77, 70, 68, 13, 18, 45, 28, 33, 46, 43, 37, 53, 49, 63, 61, 67, 73, 0, 23, 76, 19, 24, 29, 51, 25, 48, 54, 60, 66, 64, 78, 74, 11, 5, 2, 15, 20, 3, 30, 35, 59, 57, 50, 55, 4, 32, 6, 22, 1, 7, 40, 34, 52, 58, 31, 9, 62, 36, 10, 56, 21, 27, 71, 38, 12, 65, 39, 17, 69, 75, 14, 8, 41, 47, 26, 42], [43, 17, 45, 73, 78, 71, 69, 14, 19, 46, 29, 34, 47, 44, 38, 54, 50, 64, 62, 68, 74, 1, 24, 77, 20, 25, 30, 52, 26, 49, 55, 61, 67, 65, 0, 75, 12, 6, 3, 16, 21, 4, 31, 36, 60, 58, 51, 56, 5, 33, 7, 23, 2, 8, 41, 35, 53, 59, 32, 10, 63, 37, 11, 57, 22, 28, 72, 39, 13, 66, 40, 18, 70, 76, 15, 9, 42, 48, 27], [28, 44, 18, 46, 74, 0, 72, 70, 15, 20, 47, 30, 35, 48, 45, 39, 55, 51, 65, 63, 69, 75, 2, 25, 78, 21, 26, 31, 53, 27, 50, 56, 62, 68, 66, 1, 76, 13, 7, 4, 17, 22, 5, 32, 37, 61, 59, 52, 57, 6, 34, 8, 24, 3, 9, 42, 36, 54, 60, 33, 11, 64, 38, 12, 58, 23, 29, 73, 40, 14, 67, 41, 19, 71, 77, 16, 10, 43, 49], [50, 29, 45, 19, 47, 75, 1, 73, 71, 16, 21, 48, 31, 36, 49, 46, 40, 56, 52, 66, 64, 70, 76, 3, 26, 0, 22, 27, 32, 54, 28, 51, 57, 63, 69, 67, 2, 77, 14, 8, 5, 18, 23, 6, 33, 38, 62, 60, 53, 58, 7, 35, 9, 25, 4, 10, 43, 37, 55, 61, 34, 12, 65, 39, 13, 59, 24, 30, 74, 41, 15, 68, 42, 20, 72, 78, 17, 11, 44], [45, 51, 30, 46, 20, 48, 76, 2, 74, 72, 17, 22, 49, 32, 37, 50, 47, 41, 57, 53, 67, 65, 71, 77, 4, 27, 1, 23, 28, 33, 55, 29, 52, 58, 64, 70, 68, 3, 78, 15, 9, 6, 19, 24, 7, 34, 39, 63, 61, 54, 59, 8, 36, 10, 26, 5, 11, 44, 38, 56, 62, 35, 13, 66, 40, 14, 60, 25, 31, 75, 42, 16, 69, 43, 21, 73, 0, 18, 12], [13, 46, 52, 31, 47, 21, 49, 77, 3, 75, 73, 18, 23, 50, 33, 38, 51, 48, 42, 58, 54, 68, 66, 72, 78, 5, 28, 2, 24, 29, 34, 56, 30, 53, 59, 65, 71, 69, 4, 0, 16, 10, 7, 20, 25, 8, 35, 40, 64, 62, 55, 60, 9, 37, 11, 27, 6, 12, 45, 39, 57, 63, 36, 14, 67, 41, 15, 61, 26, 32, 76, 43, 17, 70, 44, 22, 74, 1, 19], [20, 14, 47, 53, 32, 48, 22, 50, 78, 4, 76, 74, 19, 24, 51, 34, 39, 52, 49, 43, 59, 55, 69, 67, 73, 0, 6, 29, 3, 25, 30, 35, 57, 31, 54, 60, 66, 72, 70, 5, 1, 17, 11, 8, 21, 26, 9, 36, 41, 65, 63, 56, 61, 10, 38, 12, 28, 7, 13, 46, 40, 58, 64, 37, 15, 68, 42, 16, 62, 27, 33, 77, 44, 18, 71, 45, 23, 75, 2], [3, 21, 15, 48, 54, 33, 49, 23, 51, 0, 5, 77, 75, 20, 25, 52, 35, 40, 53, 50, 44, 60, 56, 70, 68, 74, 1, 7, 30, 4, 26, 31, 36, 58, 32, 55, 61, 67, 73, 71, 6, 2, 18, 12, 9, 22, 27, 10, 37, 42, 66, 64, 57, 62, 11, 39, 13, 29, 8, 14, 47, 41, 59, 65, 38, 16, 69, 43, 17, 63, 28, 34, 78, 45, 19, 72, 46, 24, 76], [77, 4, 22, 16, 49, 55, 34, 50, 24, 52, 1, 6, 78, 76, 21, 26, 53, 36, 41, 54, 51, 45, 61, 57, 71, 69, 75, 2, 8, 31, 5, 27, 32, 37, 59, 33, 56, 62, 68, 74, 72, 7, 3, 19, 13, 10, 23, 28, 11, 38, 43, 67, 65, 58, 63, 12, 40, 14, 30, 9, 15, 48, 42, 60, 66, 39, 17, 70, 44, 18, 64, 29, 35, 0, 46, 20, 73, 47, 25], [26, 78, 5, 23, 17, 50, 56, 35, 51, 25, 53, 2, 7, 0, 77, 22, 27, 54, 37, 42, 55, 52, 46, 62, 58, 72, 70, 76, 3, 9, 32, 6, 28, 33, 38, 60, 34, 57, 63, 69, 75, 73, 8, 4, 20, 14, 11, 24, 29, 12, 39, 44, 68, 66, 59, 64, 13, 41, 15, 31, 10, 16, 49, 43, 61, 67, 40, 18, 71, 45, 19, 65, 30, 36, 1, 47, 21, 74, 48], [49, 27, 0, 6, 24, 18, 51, 57, 36, 52, 26, 54, 3, 8, 1, 78, 23, 28, 55, 38, 43, 56, 53, 47, 63, 59, 73, 71, 77, 4, 10, 33, 7, 29, 34, 39, 61, 35, 58, 64, 70, 76, 74, 9, 5, 21, 15, 12, 25, 30, 13, 40, 45, 69, 67, 60, 65, 14, 42, 16, 32, 11, 17, 50, 44, 62, 68, 41, 19, 72, 46, 20, 66, 31, 37, 2, 48, 22, 75], [76, 50, 28, 1, 7, 25, 19, 52, 58, 37, 53, 27, 55, 4, 9, 2, 0, 24, 29, 56, 39, 44, 57, 54, 48, 64, 60, 74, 72, 78, 5, 11, 34, 8, 30, 35, 40, 62, 36, 59, 65, 71, 77, 75, 10, 6, 22, 16, 13, 26, 31, 14, 41, 46, 70, 68, 61, 66, 15, 43, 17, 33, 12, 18, 51, 45, 63, 69, 42, 20, 73, 47, 21, 67, 32, 38, 3, 49, 23], [24, 77, 51, 29, 2, 8, 26, 20, 53, 59, 38, 54, 28, 56, 5, 10, 3, 1, 25, 30, 57, 40, 45, 58, 55, 49, 65, 61, 75, 73, 0, 6, 12, 35, 9, 31, 36, 41, 63, 37, 60, 66, 72, 78, 76, 11, 7, 23, 17, 14, 27, 32, 15, 42, 47, 71, 69, 62, 67, 16, 44, 18, 34, 13, 19, 52, 46, 64, 70, 43, 21, 74, 48, 22, 68, 33, 39, 4, 50], [51, 25, 78, 52, 30, 3, 9, 27, 21, 54, 60, 39, 55, 29, 57, 6, 11, 4, 2, 26, 31, 58, 41, 46, 59, 56, 50, 66, 62, 76, 74, 1, 7, 13, 36, 10, 32, 37, 42, 64, 38, 61, 67, 73, 0, 77, 12, 8, 24, 18, 15, 28, 33, 16, 43, 48, 72, 70, 63, 68, 17, 45, 19, 35, 14, 20, 53, 47, 65, 71, 44, 22, 75, 49, 23, 69, 34, 40, 5], [6, 52, 26, 0, 53, 31, 4, 10, 28, 22, 55, 61, 40, 56, 30, 58, 7, 12, 5, 3, 27, 32, 59, 42, 47, 60, 57, 51, 67, 63, 77, 75, 2, 8, 14, 37, 11, 33, 38, 43, 65, 39, 62, 68, 74, 1, 78, 13, 9, 25, 19, 16, 29, 34, 17, 44, 49, 73, 71, 64, 69, 18, 46, 20, 36, 15, 21, 54, 48, 66, 72, 45, 23, 76, 50, 24, 70, 35, 41], [42, 7, 53, 27, 1, 54, 32, 5, 11, 29, 23, 56, 62, 41, 57, 31, 59, 8, 13, 6, 4, 28, 33, 60, 43, 48, 61, 58, 52, 68, 64, 78, 76, 3, 9, 15, 38, 12, 34, 39, 44, 66, 40, 63, 69, 75, 2, 0, 14, 10, 26, 20, 17, 30, 35, 18, 45, 50, 74, 72, 65, 70, 19, 47, 21, 37, 16, 22, 55, 49, 67, 73, 46, 24, 77, 51, 25, 71, 36], [37, 43, 8, 54, 28, 2, 55, 33, 6, 12, 30, 24, 57, 63, 42, 58, 32, 60, 9, 14, 7, 5, 29, 34, 61, 44, 49, 62, 59, 53, 69, 65, 0, 77, 4, 10, 16, 39, 13, 35, 40, 45, 67, 41, 64, 70, 76, 3, 1, 15, 11, 27, 21, 18, 31, 36, 19, 46, 51, 75, 73, 66, 71, 20, 48, 22, 38, 17, 23, 56, 50, 68, 74, 47, 25, 78, 52, 26, 72], [73, 38, 44, 9, 55, 29, 3, 56, 34, 7, 13, 31, 25, 58, 64, 43, 59, 33, 61, 10, 15, 8, 6, 30, 35, 62, 45, 50, 63, 60, 54, 70, 66, 1, 78, 5, 11, 17, 40, 14, 36, 41, 46, 68, 42, 65, 71, 77, 4, 2, 16, 12, 28, 22, 19, 32, 37, 20, 47, 52, 76, 74, 67, 72, 21, 49, 23, 39, 18, 24, 57, 51, 69, 75, 48, 26, 0, 53, 27], [28, 74, 39, 45, 10, 56, 30, 4, 57, 35, 8, 14, 32, 26, 59, 65, 44, 60, 34, 62, 11, 16, 9, 7, 31, 36, 63, 46, 51, 64, 61, 55, 71, 67, 2, 0, 6, 12, 18, 41, 15, 37, 42, 47, 69, 43, 66, 72, 78, 5, 3, 17, 13, 29, 23, 20, 33, 38, 21, 48, 53, 77, 75, 68, 73, 22, 50, 24, 40, 19, 25, 58, 52, 70, 76, 49, 27, 1, 54], [55, 29, 75, 40, 46, 11, 57, 31, 5, 58, 36, 9, 15, 33, 27, 60, 66, 45, 61, 35, 63, 12, 17, 10, 8, 32, 37, 64, 47, 52, 65, 62, 56, 72, 68, 3, 1, 7, 13, 19, 42, 16, 38, 43, 48, 70, 44, 67, 73, 0, 6, 4, 18, 14, 30, 24, 21, 34, 39, 22, 49, 54, 78, 76, 69, 74, 23, 51, 25, 41, 20, 26, 59, 53, 71, 77, 50, 28, 2], [3, 56, 30, 76, 41, 47, 12, 58, 32, 6, 59, 37, 10, 16, 34, 28, 61, 67, 46, 62, 36, 64, 13, 18, 11, 9, 33, 38, 65, 48, 53, 66, 63, 57, 73, 69, 4, 2, 8, 14, 20, 43, 17, 39, 44, 49, 71, 45, 68, 74, 1, 7, 5, 19, 15, 31, 25, 22, 35, 40, 23, 50, 55, 0, 77, 70, 75, 24, 52, 26, 42, 21, 27, 60, 54, 72, 78, 51, 29], [30, 4, 57, 31, 77, 42, 48, 13, 59, 33, 7, 60, 38, 11, 17, 35, 29, 62, 68, 47, 63, 37, 65, 14, 19, 12, 10, 34, 39, 66, 49, 54, 67, 64, 58, 74, 70, 5, 3, 9, 15, 21, 44, 18, 40, 45, 50, 72, 46, 69, 75, 2, 8, 6, 20, 16, 32, 26, 23, 36, 41, 24, 51, 56, 1, 78, 71, 76, 25, 53, 27, 43, 22, 28, 61, 55, 73, 0, 52], [53, 31, 5, 58, 32, 78, 43, 49, 14, 60, 34, 8, 61, 39, 12, 18, 36, 30, 63, 69, 48, 64, 38, 66, 15, 20, 13, 11, 35, 40, 67, 50, 55, 68, 65, 59, 75, 71, 6, 4, 10, 16, 22, 45, 19, 41, 46, 51, 73, 47, 70, 76, 3, 9, 7, 21, 17, 33, 27, 24, 37, 42, 25, 52, 57, 2, 0, 72, 77, 26, 54, 28, 44, 23, 29, 62, 56, 74, 1], [2, 54, 32, 6, 59, 33, 0, 44, 50, 15, 61, 35, 9, 62, 40, 13, 19, 37, 31, 64, 70, 49, 65, 39, 67, 16, 21, 14, 12, 36, 41, 68, 51, 56, 69, 66, 60, 76, 72, 7, 5, 11, 17, 23, 46, 20, 42, 47, 52, 74, 48, 71, 77, 4, 10, 8, 22, 18, 34, 28, 25, 38, 43, 26, 53, 58, 3, 1, 73, 78, 27, 55, 29, 45, 24, 30, 63, 57, 75], [76, 3, 55, 33, 7, 60, 34, 1, 45, 51, 16, 62, 36, 10, 63, 41, 14, 20, 38, 32, 65, 71, 50, 66, 40, 68, 17, 22, 15, 13, 37, 42, 69, 52, 57, 70, 67, 61, 77, 73, 8, 6, 12, 18, 24, 47, 21, 43, 48, 53, 75, 49, 72, 78, 5, 11, 9, 23, 19, 35, 29, 26, 39, 44, 27, 54, 59, 4, 2, 74, 0, 28, 56, 30, 46, 25, 31, 64, 58], [59, 77, 4, 56, 34, 8, 61, 35, 2, 46, 52, 17, 63, 37, 11, 64, 42, 15, 21, 39, 33, 66, 72, 51, 67, 41, 69, 18, 23, 16, 14, 38, 43, 70, 53, 58, 71, 68, 62, 78, 74, 9, 7, 13, 19, 25, 48, 22, 44, 49, 54, 76, 50, 73, 0, 6, 12, 10, 24, 20, 36, 30, 27, 40, 45, 28, 55, 60, 5, 3, 75, 1, 29, 57, 31, 47, 26, 32, 65], [66, 60, 78, 5, 57, 35, 9, 62, 36, 3, 47, 53, 18, 64, 38, 12, 65, 43, 16, 22, 40, 34, 67, 73, 52, 68, 42, 70, 19, 24, 17, 15, 39, 44, 71, 54, 59, 72, 69, 63, 0, 75, 10, 8, 14, 20, 26, 49, 23, 45, 50, 55, 77, 51, 74, 1, 7, 13, 11, 25, 21, 37, 31, 28, 41, 46, 29, 56, 61, 6, 4, 76, 2, 30, 58, 32, 48, 27, 33], [34, 67, 61, 0, 6, 58, 36, 10, 63, 37, 4, 48, 54, 19, 65, 39, 13, 66, 44, 17, 23, 41, 35, 68, 74, 53, 69, 43, 71, 20, 25, 18, 16, 40, 45, 72, 55, 60, 73, 70, 64, 1, 76, 11, 9, 15, 21, 27, 50, 24, 46, 51, 56, 78, 52, 75, 2, 8, 14, 12, 26, 22, 38, 32, 29, 42, 47, 30, 57, 62, 7, 5, 77, 3, 31, 59, 33, 49, 28], [29, 35, 68, 62, 1, 7, 59, 37, 11, 64, 38, 5, 49, 55, 20, 66, 40, 14, 67, 45, 18, 24, 42, 36, 69, 75, 54, 70, 44, 72, 21, 26, 19, 17, 41, 46, 73, 56, 61, 74, 71, 65, 2, 77, 12, 10, 16, 22, 28, 51, 25, 47, 52, 57, 0, 53, 76, 3, 9, 15, 13, 27, 23, 39, 33, 30, 43, 48, 31, 58, 63, 8, 6, 78, 4, 32, 60, 34, 50], [51, 30, 36, 69, 63, 2, 8, 60, 38, 12, 65, 39, 6, 50, 56, 21, 67, 41, 15, 68, 46, 19, 25, 43, 37, 70, 76, 55, 71, 45, 73, 22, 27, 20, 18, 42, 47, 74, 57, 62, 75, 72, 66, 3, 78, 13, 11, 17, 23, 29, 52, 26, 48, 53, 58, 1, 54, 77, 4, 10, 16, 14, 28, 24, 40, 34, 31, 44, 49, 32, 59, 64, 9, 7, 0, 5, 33, 61, 35], [36, 52, 31, 37, 70, 64, 3, 9, 61, 39, 13, 66, 40, 7, 51, 57, 22, 68, 42, 16, 69, 47, 20, 26, 44, 38, 71, 77, 56, 72, 46, 74, 23, 28, 21, 19, 43, 48, 75, 58, 63, 76, 73, 67, 4, 0, 14, 12, 18, 24, 30, 53, 27, 49, 54, 59, 2, 55, 78, 5, 11, 17, 15, 29, 25, 41, 35, 32, 45, 50, 33, 60, 65, 10, 8, 1, 6, 34, 62], [63, 37, 53, 32, 38, 71, 65, 4, 10, 62, 40, 14, 67, 41, 8, 52, 58, 23, 69, 43, 17, 70, 48, 21, 27, 45, 39, 72, 78, 57, 73, 47, 75, 24, 29, 22, 20, 44, 49, 76, 59, 64, 77, 74, 68, 5, 1, 15, 13, 19, 25, 31, 54, 28, 50, 55, 60, 3, 56, 0, 6, 12, 18, 16, 30, 26, 42, 36, 33, 46, 51, 34, 61, 66, 11, 9, 2, 7, 35], [36, 64, 38, 54, 33, 39, 72, 66, 5, 11, 63, 41, 15, 68, 42, 9, 53, 59, 24, 70, 44, 18, 71, 49, 22, 28, 46, 40, 73, 0, 58, 74, 48, 76, 25, 30, 23, 21, 45, 50, 77, 60, 65, 78, 75, 69, 6, 2, 16, 14, 20, 26, 32, 55, 29, 51, 56, 61, 4, 57, 1, 7, 13, 19, 17, 31, 27, 43, 37, 34, 47, 52, 35, 62, 67, 12, 10, 3, 8], [9, 37, 65, 39, 55, 34, 40, 73, 67, 6, 12, 64, 42, 16, 69, 43, 10, 54, 60, 25, 71, 45, 19, 72, 50, 23, 29, 47, 41, 74, 1, 59, 75, 49, 77, 26, 31, 24, 22, 46, 51, 78, 61, 66, 0, 76, 70, 7, 3, 17, 15, 21, 27, 33, 56, 30, 52, 57, 62, 5, 58, 2, 8, 14, 20, 18, 32, 28, 44, 38, 35, 48, 53, 36, 63, 68, 13, 11, 4], [5, 10, 38, 66, 40, 56, 35, 41, 74, 68, 7, 13, 65, 43, 17, 70, 44, 11, 55, 61, 26, 72, 46, 20, 73, 51, 24, 30, 48, 42, 75, 2, 60, 76, 50, 78, 27, 32, 25, 23, 47, 52, 0, 62, 67, 1, 77, 71, 8, 4, 18, 16, 22, 28, 34, 57, 31, 53, 58, 63, 6, 59, 3, 9, 15, 21, 19, 33, 29, 45, 39, 36, 49, 54, 37, 64, 69, 14, 12], [13, 6, 11, 39, 67, 41, 57, 36, 42, 75, 69, 8, 14, 66, 44, 18, 71, 45, 12, 56, 62, 27, 73, 47, 21, 74, 52, 25, 31, 49, 43, 76, 3, 61, 77, 51, 0, 28, 33, 26, 24, 48, 53, 1, 63, 68, 2, 78, 72, 9, 5, 19, 17, 23, 29, 35, 58, 32, 54, 59, 64, 7, 60, 4, 10, 16, 22, 20, 34, 30, 46, 40, 37, 50, 55, 38, 65, 70, 15], [16, 14, 7, 12, 40, 68, 42, 58, 37, 43, 76, 70, 9, 15, 67, 45, 19, 72, 46, 13, 57, 63, 28, 74, 48, 22, 75, 53, 26, 32, 50, 44, 77, 4, 62, 78, 52, 1, 29, 34, 27, 25, 49, 54, 2, 64, 69, 3, 0, 73, 10, 6, 20, 18, 24, 30, 36, 59, 33, 55, 60, 65, 8, 61, 5, 11, 17, 23, 21, 35, 31, 47, 41, 38, 51, 56, 39, 66, 71], [72, 17, 15, 8, 13, 41, 69, 43, 59, 38, 44, 77, 71, 10, 16, 68, 46, 20, 73, 47, 14, 58, 64, 29, 75, 49, 23, 76, 54, 27, 33, 51, 45, 78, 5, 63, 0, 53, 2, 30, 35, 28, 26, 50, 55, 3, 65, 70, 4, 1, 74, 11, 7, 21, 19, 25, 31, 37, 60, 34, 56, 61, 66, 9, 62, 6, 12, 18, 24, 22, 36, 32, 48, 42, 39, 52, 57, 40, 67], [68, 73, 18, 16, 9, 14, 42, 70, 44, 60, 39, 45, 78, 72, 11, 17, 69, 47, 21, 74, 48, 15, 59, 65, 30, 76, 50, 24, 77, 55, 28, 34, 52, 46, 0, 6, 64, 1, 54, 3, 31, 36, 29, 27, 51, 56, 4, 66, 71, 5, 2, 75, 12, 8, 22, 20, 26, 32, 38, 61, 35, 57, 62, 67, 10, 63, 7, 13, 19, 25, 23, 37, 33, 49, 43, 40, 53, 58, 41], [42, 69, 74, 19, 17, 10, 15, 43, 71, 45, 61, 40, 46, 0, 73, 12, 18, 70, 48, 22, 75, 49, 16, 60, 66, 31, 77, 51, 25, 78, 56, 29, 35, 53, 47, 1, 7, 65, 2, 55, 4, 32, 37, 30, 28, 52, 57, 5, 67, 72, 6, 3, 76, 13, 9, 23, 21, 27, 33, 39, 62, 36, 58, 63, 68, 11, 64, 8, 14, 20, 26, 24, 38, 34, 50, 44, 41, 54, 59], [60, 43, 70, 75, 20, 18, 11, 16, 44, 72, 46, 62, 41, 47, 1, 74, 13, 19, 71, 49, 23, 76, 50, 17, 61, 67, 32, 78, 52, 26, 0, 57, 30, 36, 54, 48, 2, 8, 66, 3, 56, 5, 33, 38, 31, 29, 53, 58, 6, 68, 73, 7, 4, 77, 14, 10, 24, 22, 28, 34, 40, 63, 37, 59, 64, 69, 12, 65, 9, 15, 21, 27, 25, 39, 35, 51, 45, 42, 55], [56, 61, 44, 71, 76, 21, 19, 12, 17, 45, 73, 47, 63, 42, 48, 2, 75, 14, 20, 72, 50, 24, 77, 51, 18, 62, 68, 33, 0, 53, 27, 1, 58, 31, 37, 55, 49, 3, 9, 67, 4, 57, 6, 34, 39, 32, 30, 54, 59, 7, 69, 74, 8, 5, 78, 15, 11, 25, 23, 29, 35, 41, 64, 38, 60, 65, 70, 13, 66, 10, 16, 22, 28, 26, 40, 36, 52, 46, 43], [44, 57, 62, 45, 72, 77, 22, 20, 13, 18, 46, 74, 48, 64, 43, 49, 3, 76, 15, 21, 73, 51, 25, 78, 52, 19, 63, 69, 34, 1, 54, 28, 2, 59, 32, 38, 56, 50, 4, 10, 68, 5, 58, 7, 35, 40, 33, 31, 55, 60, 8, 70, 75, 9, 6, 0, 16, 12, 26, 24, 30, 36, 42, 65, 39, 61, 66, 71, 14, 67, 11, 17, 23, 29, 27, 41, 37, 53, 47], [48, 45, 58, 63, 46, 73, 78, 23, 21, 14, 19, 47, 75, 49, 65, 44, 50, 4, 77, 16, 22, 74, 52, 26, 0, 53, 20, 64, 70, 35, 2, 55, 29, 3, 60, 33, 39, 57, 51, 5, 11, 69, 6, 59, 8, 36, 41, 34, 32, 56, 61, 9, 71, 76, 10, 7, 1, 17, 13, 27, 25, 31, 37, 43, 66, 40, 62, 67, 72, 15, 68, 12, 18, 24, 30, 28, 42, 38, 54], [55, 49, 46, 59, 64, 47, 74, 0, 24, 22, 15, 20, 48, 76, 50, 66, 45, 51, 5, 78, 17, 23, 75, 53, 27, 1, 54, 21, 65, 71, 36, 3, 56, 30, 4, 61, 34, 40, 58, 52, 6, 12, 70, 7, 60, 9, 37, 42, 35, 33, 57, 62, 10, 72, 77, 11, 8, 2, 18, 14, 28, 26, 32, 38, 44, 67, 41, 63, 68, 73, 16, 69, 13, 19, 25, 31, 29, 43, 39], [40, 56, 50, 47, 60, 65, 48, 75, 1, 25, 23, 16, 21, 49, 77, 51, 67, 46, 52, 6, 0, 18, 24, 76, 54, 28, 2, 55, 22, 66, 72, 37, 4, 57, 31, 5, 62, 35, 41, 59, 53, 7, 13, 71, 8, 61, 10, 38, 43, 36, 34, 58, 63, 11, 73, 78, 12, 9, 3, 19, 15, 29, 27, 33, 39, 45, 68, 42, 64, 69, 74, 17, 70, 14, 20, 26, 32, 30, 44], [45, 41, 57, 51, 48, 61, 66, 49, 76, 2, 26, 24, 17, 22, 50, 78, 52, 68, 47, 53, 7, 1, 19, 25, 77, 55, 29, 3, 56, 23, 67, 73, 38, 5, 58, 32, 6, 63, 36, 42, 60, 54, 8, 14, 72, 9, 62, 11, 39, 44, 37, 35, 59, 64, 12, 74, 0, 13, 10, 4, 20, 16, 30, 28, 34, 40, 46, 69, 43, 65, 70, 75, 18, 71, 15, 21, 27, 33, 31], [32, 46, 42, 58, 52, 49, 62, 67, 50, 77, 3, 27, 25, 18, 23, 51, 0, 53, 69, 48, 54, 8, 2, 20, 26, 78, 56, 30, 4, 57, 24, 68, 74, 39, 6, 59, 33, 7, 64, 37, 43, 61, 55, 9, 15, 73, 10, 63, 12, 40, 45, 38, 36, 60, 65, 13, 75, 1, 14, 11, 5, 21, 17, 31, 29, 35, 41, 47, 70, 44, 66, 71, 76, 19, 72, 16, 22, 28, 34], [35, 33, 47, 43, 59, 53, 50, 63, 68, 51, 78, 4, 28, 26, 19, 24, 52, 1, 54, 70, 49, 55, 9, 3, 21, 27, 0, 57, 31, 5, 58, 25, 69, 75, 40, 7, 60, 34, 8, 65, 38, 44, 62, 56, 10, 16, 74, 11, 64, 13, 41, 46, 39, 37, 61, 66, 14, 76, 2, 15, 12, 6, 22, 18, 32, 30, 36, 42, 48, 71, 45, 67, 72, 77, 20, 73, 17, 23, 29], [30, 36, 34, 48, 44, 60, 54, 51, 64, 69, 52, 0, 5, 29, 27, 20, 25, 53, 2, 55, 71, 50, 56, 10, 4, 22, 28, 1, 58, 32, 6, 59, 26, 70, 76, 41, 8, 61, 35, 9, 66, 39, 45, 63, 57, 11, 17, 75, 12, 65, 14, 42, 47, 40, 38, 62, 67, 15, 77, 3, 16, 13, 7, 23, 19, 33, 31, 37, 43, 49, 72, 46, 68, 73, 78, 21, 74, 18, 24], [25, 31, 37, 35, 49, 45, 61, 55, 52, 65, 70, 53, 1, 6, 30, 28, 21, 26, 54, 3, 56, 72, 51, 57, 11, 5, 23, 29, 2, 59, 33, 7, 60, 27, 71, 77, 42, 9, 62, 36, 10, 67, 40, 46, 64, 58, 12, 18, 76, 13, 66, 15, 43, 48, 41, 39, 63, 68, 16, 78, 4, 17, 14, 8, 24, 20, 34, 32, 38, 44, 50, 73, 47, 69, 74, 0, 22, 75, 19], [20, 26, 32, 38, 36, 50, 46, 62, 56, 53, 66, 71, 54, 2, 7, 31, 29, 22, 27, 55, 4, 57, 73, 52, 58, 12, 6, 24, 30, 3, 60, 34, 8, 61, 28, 72, 78, 43, 10, 63, 37, 11, 68, 41, 47, 65, 59, 13, 19, 77, 14, 67, 16, 44, 49, 42, 40, 64, 69, 17, 0, 5, 18, 15, 9, 25, 21, 35, 33, 39, 45, 51, 74, 48, 70, 75, 1, 23, 76], [77, 21, 27, 33, 39, 37, 51, 47, 63, 57, 54, 67, 72, 55, 3, 8, 32, 30, 23, 28, 56, 5, 58, 74, 53, 59, 13, 7, 25, 31, 4, 61, 35, 9, 62, 29, 73, 0, 44, 11, 64, 38, 12, 69, 42, 48, 66, 60, 14, 20, 78, 15, 68, 17, 45, 50, 43, 41, 65, 70, 18, 1, 6, 19, 16, 10, 26, 22, 36, 34, 40, 46, 52, 75, 49, 71, 76, 2, 24], [25, 78, 22, 28, 34, 40, 38, 52, 48, 64, 58, 55, 68, 73, 56, 4, 9, 33, 31, 24, 29, 57, 6, 59, 75, 54, 60, 14, 8, 26, 32, 5, 62, 36, 10, 63, 30, 74, 1, 45, 12, 65, 39, 13, 70, 43, 49, 67, 61, 15, 21, 0, 16, 69, 18, 46, 51, 44, 42, 66, 71, 19, 2, 7, 20, 17, 11, 27, 23, 37, 35, 41, 47, 53, 76, 50, 72, 77, 3], [4, 26, 0, 23, 29, 35, 41, 39, 53, 49, 65, 59, 56, 69, 74, 57, 5, 10, 34, 32, 25, 30, 58, 7, 60, 76, 55, 61, 15, 9, 27, 33, 6, 63, 37, 11, 64, 31, 75, 2, 46, 13, 66, 40, 14, 71, 44, 50, 68, 62, 16, 22, 1, 17, 70, 19, 47, 52, 45, 43, 67, 72, 20, 3, 8, 21, 18, 12, 28, 24, 38, 36, 42, 48, 54, 77, 51, 73, 78]]