Quad Tiling
Description:
Tired of the Tri Tiling game finally, Michael turns to a more challengeable game, Quad Tiling:
In how many ways can you tile a 4 × N (1 ≤ N ≤ 109) rectangle with 2 × 1 dominoes? For the answer would be very big, output the answer modulo M (0 < M ≤ 105).
Input:
Input consists of several test cases followed by a line containing double 0. Each test case consists of two integers, N and M, respectively.
Output:
For each test case, output the answer modules M.
Sample Input:
1 10000 3 10000 5 10000 0 0
Sample Output:
1 11 95
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