The numbers 1, 2, 3, 4, 5, 6, 7, and 8 are randomly written on the faces of a regular octahedron so that each face contains a different number. The probability that no two consecutive numbers, where 8 and 1 are considered to be consecutive, are written on faces that share an edge is \(m/n,\) where \(m\) and \(n\) are relatively prime positive integers. Find \(m + n.\)
(第十九届AIME1 2001 第15题)