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
ii = lambda : int(input())
mi = lambda : map(int,input().split())
li = lambda : list(map(int,input().split()))

m,n = mi()

mod = 1000000007

def modpow(m,n,mod=1000000007):
    res = 1
    while n>0:
        if n&1: res = res * m % mod
        m = m * m % mod
        n >>= 1
    return res

ans = modpow(m,n)

print(ans)
