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Problems

Modular Exponentiation

Modular Exponentiation

Time limit 1 second
Memory limit 128 MiB

Three positive integers x, n and m are given. Find the value of x^n~mod~m.

Input data

Three positive integers x, n, m~(1 \le x, m \le 10^9, 2 \le n \le 10^7).

Output data

Find and print the value of x^n~mod~m.

Examples

Input example #1
2 3 100
Output example #1
8