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
m,n=map(int,input().split())

div=10**9+7
def po(x,n,M):
    res=1
    if n>0:
        
        res= po(x,n//2,M)
    if n%2==0:
        res=(res*res)%M
    else:
        res=(((res*res)%M)*x)%M
        
      
    return res

print(po(m,n,div))
