For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.

Constraints

* 1 ≤ m ≤ 100
* 1 ≤ n ≤ 109

Input


m n


Two integers m and n are given in a line.

Output

Print mn (mod 1,000,000,007) in a line.

Examples

Input

2 3


Output

8


Input

5 8


Output

390625
import java.io.*;
import java.util.*;
import java.lang.ArrayIndexOutOfBoundsException;
import java.math.*;


class Main {
	static Scanner sc = new Scanner(new InputStreamReader(System.in));
	public static void main(String[] args) throws Exception {
		BigInteger n = new BigInteger(sc.next());
		BigInteger m = new BigInteger(sc.next());
		System.out.println(n.modPow(m, new BigInteger("1000000007")));
	}
}