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Problems

Modular Exponentiation

Modular Exponentiation

Three positive integers $x, n$ and $m$ are given. Find the value of $x^n~mod~m$. \InputFile Three positive integers $x, n, m~(1 \le x, m \le 10^9, 2 \le n \le 10^7)$. \OutputFile Find and print the value of $x^n~mod~m$.
Time limit 1 second
Memory limit 128 MiB
Input example #1
2 3 100
Output example #1
8