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374 Big Mod Calculate R

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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

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