374 Big Mod
Calculate
R := BP mod M
for large values of B, P , and M using an efficient algorithm. (That’s right, this problem has a time dependency !!!.)
Input
The input will contain several test cases, each of them as described below. Consecutive test cases are separated by a single blank line.
Three integer values (in the order B, P , M ) will be read one number per line. B and P are integers in the range 0 to 2147483647 inclusive. M is an integer in the range 1 to 46340 inclusive.
Output
For each test, the result of the computation. A single integer on a line by itself.
Sample Input 3
18132 17 17 1765 3
2374859 3029382 36123
Sample Output 13
2 13195