LogiQuest

137. Modular Exponentiation

MediumFast Power

Print aᵇ mod m.

Input format

A single line: a b m

Output format

aᵇ mod m

Example 1

Input

2 10 1000

Output

24

Example 2

Input

3 0 7

Output

1

Constraints

0 ≤ a, b ≤ 10¹⁸ 1 ≤ m ≤ 10⁹

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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