Power

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.

Input

m n

Two integers m and n are given in a line.

Output

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

Constraints

• 1 ≤ m ≤ 100
• 1 ≤ n ≤ 10⁹

Sample Input 1

2 3

Sample Output 1

8

Sample Input 2

5 8

Sample Output 2

390625