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.math.BigInteger;
import java.util.Scanner;

public class Main 
{

	public static void main(String[] args) 
	{
		Scanner sc = new Scanner(System.in);
		BigInteger a = new BigInteger(sc.next());
		BigInteger b = new BigInteger(sc.next());
		
		System.out.println(a.modPow(b, new BigInteger("1000000007")));
	}

}

