UVa 11906 - Knight in a War Grid

Summary
Given a grid as large as 100 x 100 which has some squares with water, and a knight who can move M squares horizontally and N squares vertically, or M squares vertically and N squares horizontally in a single move (0 <= M, N <= 100, M + N > 0), count the number of odd and even marked squares that the knight can reach if he starts from square (0,0). An odd (even) marked square is a square reachable from (0,0) and has odd (even) number of squares that the knight can reach in one move.

Explanation
Run DFS on the grid.

Gotchas

 * Take care of the case where either M or N is 0, or when M = N. There are only 4 possible movements (compared to 8) for these cases.

Input
2 3 3 2 1 0 4 4 1 2 2 3 3 1 1

Output
Case 1: 8 0 Case 2: 4 10

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