2001 AIME I Problem 15

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.