multiplication_table = \ ((0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23), (1, 0, 3, 2, 6, 7, 4, 5, 11, 10, 9, 8, 13, 12, 15, 14, 19, 18, 17, 16, 22, 23, 20, 21), (2, 3, 0, 1, 5, 4, 7, 6, 10, 11, 8, 9, 15, 14, 13, 12, 17, 16, 19, 18, 23, 22, 21, 20), (3, 2, 1, 0, 7, 6, 5, 4, 9, 8, 11, 10, 14, 15, 12, 13, 18, 19, 16, 17, 21, 20, 23, 22), (4, 5, 6, 7, 0, 1, 2, 3, 20, 21, 22, 23, 16, 17, 18, 19, 12, 13, 14, 15, 8, 9, 10, 11), (5, 4, 7, 6, 2, 3, 0, 1, 23, 22, 21, 20, 17, 16, 19, 18, 15, 14, 13, 12, 10, 11, 8, 9), (6, 7, 4, 5, 1, 0, 3, 2, 22, 23, 20, 21, 19, 18, 17, 16, 13, 12, 15, 14, 11, 10, 9, 8), (7, 6, 5, 4, 3, 2, 1, 0, 21, 20, 23, 22, 18, 19, 16, 17, 14, 15, 12, 13, 9, 8, 11, 10), (8, 9, 10, 11, 16, 17, 18, 19, 0, 1, 2, 3, 20, 21, 22, 23, 4, 5, 6, 7, 12, 13, 14, 15), (9, 8, 11, 10, 18, 19, 16, 17, 3, 2, 1, 0, 21, 20, 23, 22, 7, 6, 5, 4, 14, 15, 12, 13), (10, 11, 8, 9, 17, 16, 19, 18, 2, 3, 0, 1, 23, 22, 21, 20, 5, 4, 7, 6, 15, 14, 13, 12), (11, 10, 9, 8, 19, 18, 17, 16, 1, 0, 3, 2, 22, 23, 20, 21, 6, 7, 4, 5, 13, 12, 15, 14), (12, 13, 14, 15, 20, 21, 22, 23, 16, 17, 18, 19, 0, 1, 2, 3, 8, 9, 10, 11, 4, 5, 6, 7), (13, 12, 15, 14, 22, 23, 20, 21, 19, 18, 17, 16, 1, 0, 3, 2, 11, 10, 9, 8, 6, 7, 4, 5), (14, 15, 12, 13, 21, 20, 23, 22, 18, 19, 16, 17, 3, 2, 1, 0, 9, 8, 11, 10, 7, 6, 5, 4), (15, 14, 13, 12, 23, 22, 21, 20, 17, 16, 19, 18, 2, 3, 0, 1, 10, 11, 8, 9, 5, 4, 7, 6), (16, 17, 18, 19, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 20, 21, 22, 23, 0, 1, 2, 3), (17, 16, 19, 18, 10, 11, 8, 9, 15, 14, 13, 12, 5, 4, 7, 6, 23, 22, 21, 20, 2, 3, 0, 1), (18, 19, 16, 17, 9, 8, 11, 10, 14, 15, 12, 13, 7, 6, 5, 4, 21, 20, 23, 22, 3, 2, 1, 0), (19, 18, 17, 16, 11, 10, 9, 8, 13, 12, 15, 14, 6, 7, 4, 5, 22, 23, 20, 21, 1, 0, 3, 2), (20, 21, 22, 23, 12, 13, 14, 15, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 16, 17, 18, 19), (21, 20, 23, 22, 14, 15, 12, 13, 7, 6, 5, 4, 9, 8, 11, 10, 3, 2, 1, 0, 18, 19, 16, 17), (22, 23, 20, 21, 13, 12, 15, 14, 6, 7, 4, 5, 11, 10, 9, 8, 1, 0, 3, 2, 19, 18, 17, 16), (23, 22, 21, 20, 15, 14, 13, 12, 5, 4, 7, 6, 10, 11, 8, 9, 2, 3, 0, 1, 17, 16, 19, 18)) cphase_table = \ ((((1, 0, 0), (1, 0, 0), (1, 0, 3), (1, 0, 3), (1, 0, 5), (1, 0, 5), (1, 0, 6), (1, 0, 6), (0, 3, 8), (0, 3, 8), (0, 0, 10), (0, 0, 10), (1, 0, 3), (1, 0, 3), (1, 0, 0), (1, 0, 0), (1, 0, 6), (1, 0, 6), (1, 0, 5), (1, 0, 5), (0, 0, 10), (0, 0, 10), (0, 3, 8), (0, 3, 8)), ((1, 0, 0), (1, 0, 0), (1, 0, 3), (1, 0, 3), (1, 0, 5), (1, 0, 5), (1, 0, 6), (1, 0, 6), (0, 2, 8), (0, 2, 8), (0, 0, 10), (0, 0, 10), (1, 0, 3), (1, 0, 3), (1, 0, 0), (1, 0, 0), (1, 0, 6), (1, 0, 6), (1, 0, 5), (1, 0, 5), (0, 0, 10), (0, 0, 10), (0, 2, 8), (0, 2, 8)), ((1, 2, 3), (1, 0, 1), (1, 0, 2), (1, 2, 0), (1, 0, 4), (1, 2, 6), (1, 2, 5), (1, 0, 7), (0, 0, 8), (0, 0, 8), (0, 2, 10), (0, 2, 10), (1, 0, 2), (1, 0, 2), (1, 0, 1), (1, 0, 1), (1, 0, 7), (1, 0, 7), (1, 0, 4), (1, 0, 4), (0, 2, 10), (0, 2, 10), (0, 0, 8), (0, 0, 8)), ((1, 3, 0), (1, 0, 1), (1, 0, 2), (1, 3, 3), (1, 0, 4), (1, 3, 5), (1, 3, 6), (1, 0, 7), (0, 0, 8), (0, 0, 8), (0, 3, 10), (0, 3, 10), (1, 0, 2), (1, 0, 2), (1, 0, 1), (1, 0, 1), (1, 0, 7), (1, 0, 7), (1, 0, 4), (1, 0, 4), (0, 3, 10), (0, 3, 10), (0, 0, 8), (0, 0, 8)), ((1, 4, 3), (1, 4, 3), (1, 4, 0), (1, 4, 0), (1, 4, 6), (1, 4, 6), (1, 4, 5), (1, 4, 5), (0, 6, 8), (0, 6, 8), (0, 4, 10), (0, 4, 10), (1, 4, 0), (1, 4, 0), (1, 4, 3), (1, 4, 3), (1, 4, 5), (1, 4, 5), (1, 4, 6), (1, 4, 6), (0, 4, 10), (0, 4, 10), (0, 6, 8), (0, 6, 8)), ((1, 5, 0), (1, 5, 0), (1, 5, 3), (1, 5, 3), (1, 5, 5), (1, 5, 5), (1, 5, 6), (1, 5, 6), (0, 6, 8), (0, 6, 8), (0, 5, 10), (0, 5, 10), (1, 5, 3), (1, 5, 3), (1, 5, 0), (1, 5, 0), (1, 5, 6), (1, 5, 6), (1, 5, 5), (1, 5, 5), (0, 5, 10), (0, 5, 10), (0, 6, 8), (0, 6, 8)), ((1, 6, 0), (1, 5, 1), (1, 5, 2), (1, 6, 3), (1, 5, 4), (1, 6, 5), (1, 6, 6), (1, 5, 7), (0, 5, 8), (0, 5, 8), (0, 6, 10), (0, 6, 10), (1, 5, 2), (1, 5, 2), (1, 5, 1), (1, 5, 1), (1, 5, 7), (1, 5, 7), (1, 5, 4), (1, 5, 4), (0, 6, 10), (0, 6, 10), (0, 5, 8), (0, 5, 8)), ((1, 6, 0), (1, 4, 2), (1, 4, 1), (1, 6, 3), (1, 4, 7), (1, 6, 5), (1, 6, 6), (1, 4, 4), (0, 4, 8), (0, 4, 8), (0, 6, 10), (0, 6, 10), (1, 4, 1), (1, 4, 1), (1, 4, 2), (1, 4, 2), (1, 4, 4), (1, 4, 4), (1, 4, 7), (1, 4, 7), (0, 6, 10), (0, 6, 10), (0, 4, 8), (0, 4, 8)), ((0, 8, 3), (0, 8, 2), (0, 8, 0), (0, 8, 0), (0, 8, 6), (0, 8, 6), (0, 8, 5), (0, 8, 4), (0, 8, 8), (0, 8, 8), (0, 8, 10), (0, 8, 10), (0, 8, 0), (0, 8, 0), (0, 8, 2), (0, 8, 2), (0, 8, 4), (0, 8, 4), (0, 8, 6), (0, 8, 6), (0, 8, 10), (0, 8, 10), (0, 8, 8), (0, 8, 8)), ((0, 8, 3), (0, 8, 2), (0, 8, 0), (0, 8, 0), (0, 8, 6), (0, 8, 6), (0, 8, 5), (0, 8, 4), (0, 8, 8), (0, 8, 8), (0, 8, 10), (0, 8, 10), (0, 8, 0), (0, 8, 0), (0, 8, 2), (0, 8, 2), (0, 8, 4), (0, 8, 4), (0, 8, 6), (0, 8, 6), (0, 8, 10), (0, 8, 10), (0, 8, 8), (0, 8, 8)), ((0, 10, 0), (0, 10, 0), (0, 10, 2), (0, 10, 3), (0, 10, 4), (0, 10, 5), (0, 10, 6), (0, 10, 6), (0, 10, 8), (0, 10, 8), (0, 10, 10), (0, 10, 10), (0, 10, 2), (0, 10, 2), (0, 10, 0), (0, 10, 0), (0, 10, 6), (0, 10, 6), (0, 10, 4), (0, 10, 4), (0, 10, 10), (0, 10, 10), (0, 10, 8), (0, 10, 8)), ((0, 10, 0), (0, 10, 0), (0, 10, 2), (0, 10, 3), (0, 10, 4), (0, 10, 5), (0, 10, 6), (0, 10, 6), (0, 10, 8), (0, 10, 8), (0, 10, 10), (0, 10, 10), (0, 10, 2), (0, 10, 2), (0, 10, 0), (0, 10, 0), (0, 10, 6), (0, 10, 6), (0, 10, 4), (0, 10, 4), (0, 10, 10), (0, 10, 10), (0, 10, 8), (0, 10, 8)), ((1, 2, 3), (1, 0, 1), (1, 0, 2), (1, 2, 0), (1, 0, 4), (1, 2, 6), (1, 2, 5), (1, 0, 7), (0, 0, 8), (0, 0, 8), (0, 2, 10), (0, 2, 10), (1, 0, 2), (1, 0, 2), (1, 0, 1), (1, 0, 1), (1, 0, 7), (1, 0, 7), (1, 0, 4), (1, 0, 4), (0, 2, 10), (0, 2, 10), (0, 0, 8), (0, 0, 8)), ((1, 2, 3), (1, 0, 1), (1, 0, 2), (1, 2, 0), (1, 0, 4), (1, 2, 6), (1, 2, 5), (1, 0, 7), (0, 0, 8), (0, 0, 8), (0, 2, 10), (0, 2, 10), (1, 0, 2), (1, 0, 2), (1, 0, 1), (1, 0, 1), (1, 0, 7), (1, 0, 7), (1, 0, 4), (1, 0, 4), (0, 2, 10), (0, 2, 10), (0, 0, 8), (0, 0, 8)), ((1, 0, 0), (1, 0, 0), (1, 0, 3), (1, 0, 3), (1, 0, 5), (1, 0, 5), (1, 0, 6), (1, 0, 6), (0, 2, 8), (0, 2, 8), (0, 0, 10), (0, 0, 10), (1, 0, 3), (1, 0, 3), (1, 0, 0), (1, 0, 0), (1, 0, 6), (1, 0, 6), (1, 0, 5), (1, 0, 5), (0, 0, 10), (0, 0, 10), (0, 2, 8), (0, 2, 8)), ((1, 0, 0), (1, 0, 0), (1, 0, 3), (1, 0, 3), (1, 0, 5), (1, 0, 5), (1, 0, 6), (1, 0, 6), (0, 2, 8), (0, 2, 8), (0, 0, 10), (0, 0, 10), (1, 0, 3), (1, 0, 3), (1, 0, 0), (1, 0, 0), (1, 0, 6), (1, 0, 6), (1, 0, 5), (1, 0, 5), (0, 0, 10), (0, 0, 10), (0, 2, 8), (0, 2, 8)), ((1, 6, 0), (1, 4, 2), (1, 4, 1), (1, 6, 3), (1, 4, 7), (1, 6, 5), (1, 6, 6), (1, 4, 4), (0, 4, 8), (0, 4, 8), (0, 6, 10), (0, 6, 10), (1, 4, 1), (1, 4, 1), (1, 4, 2), (1, 4, 2), (1, 4, 4), (1, 4, 4), (1, 4, 7), (1, 4, 7), (0, 6, 10), (0, 6, 10), (0, 4, 8), (0, 4, 8)), ((1, 6, 0), (1, 4, 2), (1, 4, 1), (1, 6, 3), (1, 4, 7), (1, 6, 5), (1, 6, 6), (1, 4, 4), (0, 4, 8), (0, 4, 8), (0, 6, 10), (0, 6, 10), (1, 4, 1), (1, 4, 1), (1, 4, 2), (1, 4, 2), (1, 4, 4), (1, 4, 4), (1, 4, 7), (1, 4, 7), (0, 6, 10), (0, 6, 10), (0, 4, 8), (0, 4, 8)), ((1, 4, 3), (1, 4, 3), (1, 4, 0), (1, 4, 0), (1, 4, 6), (1, 4, 6), (1, 4, 5), (1, 4, 5), (0, 6, 8), (0, 6, 8), (0, 4, 10), (0, 4, 10), (1, 4, 0), (1, 4, 0), (1, 4, 3), (1, 4, 3), (1, 4, 5), (1, 4, 5), (1, 4, 6), (1, 4, 6), (0, 4, 10), (0, 4, 10), (0, 6, 8), (0, 6, 8)), ((1, 4, 3), (1, 4, 3), (1, 4, 0), (1, 4, 0), (1, 4, 6), (1, 4, 6), (1, 4, 5), (1, 4, 5), (0, 6, 8), (0, 6, 8), (0, 4, 10), (0, 4, 10), (1, 4, 0), (1, 4, 0), (1, 4, 3), (1, 4, 3), (1, 4, 5), (1, 4, 5), (1, 4, 6), (1, 4, 6), (0, 4, 10), (0, 4, 10), (0, 6, 8), (0, 6, 8)), ((0, 10, 0), (0, 10, 0), (0, 10, 2), (0, 10, 3), (0, 10, 4), (0, 10, 5), (0, 10, 6), (0, 10, 6), (0, 10, 8), (0, 10, 8), (0, 10, 10), (0, 10, 10), (0, 10, 2), (0, 10, 2), (0, 10, 0), (0, 10, 0), (0, 10, 6), (0, 10, 6), (0, 10, 4), (0, 10, 4), (0, 10, 10), (0, 10, 10), (0, 10, 8), (0, 10, 8)), ((0, 10, 0), (0, 10, 0), (0, 10, 2), (0, 10, 3), (0, 10, 4), (0, 10, 5), (0, 10, 6), (0, 10, 6), (0, 10, 8), (0, 10, 8), (0, 10, 10), (0, 10, 10), (0, 10, 2), (0, 10, 2), (0, 10, 0), (0, 10, 0), (0, 10, 6), (0, 10, 6), (0, 10, 4), (0, 10, 4), (0, 10, 10), (0, 10, 10), (0, 10, 8), (0, 10, 8)), ((0, 8, 3), (0, 8, 2), (0, 8, 0), (0, 8, 0), (0, 8, 6), (0, 8, 6), (0, 8, 5), (0, 8, 4), (0, 8, 8), (0, 8, 8), (0, 8, 10), (0, 8, 10), (0, 8, 0), (0, 8, 0), (0, 8, 2), (0, 8, 2), (0, 8, 4), (0, 8, 4), (0, 8, 6), (0, 8, 6), (0, 8, 10), (0, 8, 10), (0, 8, 8), (0, 8, 8)), ((0, 8, 3), (0, 8, 2), (0, 8, 0), (0, 8, 0), (0, 8, 6), (0, 8, 6), (0, 8, 5), (0, 8, 4), (0, 8, 8), (0, 8, 8), (0, 8, 10), (0, 8, 10), (0, 8, 0), (0, 8, 0), (0, 8, 2), (0, 8, 2), (0, 8, 4), (0, 8, 4), (0, 8, 6), (0, 8, 6), (0, 8, 10), (0, 8, 10), (0, 8, 8), (0, 8, 8))), (((0, 0, 0), (0, 3, 0), (0, 3, 2), (0, 0, 3), (0, 3, 4), (0, 0, 5), (0, 0, 6), (0, 3, 6), (1, 5, 23), (1, 5, 22), (1, 5, 21), (1, 5, 20), (0, 5, 2), (0, 6, 2), (0, 5, 0), (0, 6, 0), (0, 6, 6), (0, 5, 6), (0, 6, 4), (0, 5, 4), (1, 5, 10), (1, 5, 11), (1, 5, 8), (1, 5, 9)), ((0, 0, 3), (0, 2, 2), (0, 2, 0), (0, 0, 0), (0, 2, 6), (0, 0, 6), (0, 0, 5), (0, 2, 4), (1, 4, 23), (1, 4, 22), (1, 4, 21), (1, 4, 20), (0, 6, 0), (0, 4, 0), (0, 6, 2), (0, 4, 2), (0, 4, 4), (0, 6, 4), (0, 4, 6), (0, 6, 6), (1, 4, 10), (1, 4, 11), (1, 4, 8), (1, 4, 9)), ((0, 2, 3), (0, 0, 2), (0, 0, 0), (0, 2, 0), (0, 0, 6), (0, 2, 6), (0, 2, 5), (0, 0, 4), (1, 4, 22), (1, 4, 23), (1, 4, 20), (1, 4, 21), (0, 4, 0), (0, 6, 0), (0, 4, 2), (0, 6, 2), (0, 6, 4), (0, 4, 4), (0, 6, 6), (0, 4, 6), (1, 4, 11), (1, 4, 10), (1, 4, 9), (1, 4, 8)), ((0, 3, 0), (0, 0, 0), (0, 0, 2), (0, 3, 3), (0, 0, 4), (0, 3, 5), (0, 3, 6), (0, 0, 6), (1, 5, 22), (1, 5, 23), (1, 5, 20), (1, 5, 21), (0, 6, 2), (0, 5, 2), (0, 6, 0), (0, 5, 0), (0, 5, 6), (0, 6, 6), (0, 5, 4), (0, 6, 4), (1, 5, 11), (1, 5, 10), (1, 5, 9), (1, 5, 8)), ((0, 4, 3), (0, 6, 2), (0, 6, 0), (0, 4, 0), (0, 6, 6), (0, 4, 6), (0, 4, 5), (0, 6, 4), (1, 0, 21), (1, 0, 20), (1, 0, 23), (1, 0, 22), (0, 0, 0), (0, 2, 0), (0, 0, 2), (0, 2, 2), (0, 2, 4), (0, 0, 4), (0, 2, 6), (0, 0, 6), (1, 0, 8), (1, 0, 9), (1, 0, 10), (1, 0, 11)), ((0, 5, 0), (0, 6, 0), (0, 6, 2), (0, 5, 3), (0, 6, 4), (0, 5, 5), (0, 5, 6), (0, 6, 6), (1, 0, 22), (1, 0, 23), (1, 0, 20), (1, 0, 21), (0, 3, 2), (0, 0, 2), (0, 3, 0), (0, 0, 0), (0, 0, 6), (0, 3, 6), (0, 0, 4), (0, 3, 4), (1, 0, 11), (1, 0, 10), (1, 0, 9), (1, 0, 8)), ((0, 6, 0), (0, 5, 0), (0, 5, 2), (0, 6, 3), (0, 5, 4), (0, 6, 5), (0, 6, 6), (0, 5, 6), (1, 0, 23), (1, 0, 22), (1, 0, 21), (1, 0, 20), (0, 0, 2), (0, 3, 2), (0, 0, 0), (0, 3, 0), (0, 3, 6), (0, 0, 6), (0, 3, 4), (0, 0, 4), (1, 0, 10), (1, 0, 11), (1, 0, 8), (1, 0, 9)), ((0, 6, 3), (0, 4, 2), (0, 4, 0), (0, 6, 0), (0, 4, 6), (0, 6, 6), (0, 6, 5), (0, 4, 4), (1, 0, 20), (1, 0, 21), (1, 0, 22), (1, 0, 23), (0, 2, 0), (0, 0, 0), (0, 2, 2), (0, 0, 2), (0, 0, 4), (0, 2, 4), (0, 0, 6), (0, 2, 6), (1, 0, 9), (1, 0, 8), (1, 0, 11), (1, 0, 10)), ((1, 22, 6), (1, 20, 5), (1, 20, 6), (1, 22, 5), (1, 20, 3), (1, 22, 0), (1, 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