The Fibonacci numbers are defined by the relations *F*_{0} = 0,
*F*_{1} = 1, and *F*_{n+1} =
*F*_{n} + *F*_{n−1}. The first
few Fibonacci numbers are 0,1,1,2,3,5,8,13,21,34,55,89,...

This month's problem is to find the last (i.e. unit) digit of
*F*_{2007}.