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.
1 10000
3 10000
5 10000
0 01
11
95
Source
POJ Monthly--2007.10.06, Dagger