p02468 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.

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
```python
# https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_B
# pythonのpowが優秀でMODまで取ることができる

MOD = 10**9 + 7
a, b = list(map(int, input().split()))
print(pow(a, b, MOD))


```