Problem: Rhezo likes numbers of the form A^B. But computing A^B, for any 2 numbers A and B is a hard task for him. He would like you to help him out in this.

Input:
First line of input contains a single integer A. Second line contains the integer B.

Output:
Help Rhezo find A^B. As this number can be large, print it modulo 10^9+7.

Constraints:
 1 ≤ A ≤ 10^9  
 1 ≤ B ≤ 10^{10^5} 

SAMPLE INPUT
4
3

SAMPLE OUTPUT
64

Solution (in PYTHON):

Solution:
a = input()
b = input()

MOD = 1000000007

x = 1
y = a

while (b > 0):
	if (b & 1):
		x = x * y
		if (x > MOD):
			x %= MOD
	y = y * y
	if (y > MOD):
		y %= MOD
	b >>= 1
	
print x