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
def modpow(a,n,m):
  res=1
  while n>0:
    if n&1:res=res*a%m
    a=a*a%m
    n//=2
  return res
INF=10**9+7
n,m=map(int,input().split())
print(modpow(n,m,INF))
