Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

The following languages are only available languages for the problems from the contest

Unknown Language Round #4:

- Befunge

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
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D. Exponentiation

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputYou are given integers *a*, *b* and *c*. Calculate *a*^{b} modulo *c*.

Input

Input data contains numbers *a*, *b* and *c*, one number per line. Each number is an integer between 1 and 100, inclusive.

Output

Output *a*^{b} mod *c*.

Examples

Input

2

5

40

Output

32

Input

2

5

26

Output

6

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