Problem:
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

Solution in Ruby (judge verdict: Accepted)

M = 1000000007

def pow(x,n)
  return 1 if n == 0
  res = pow(x*x%M,n/2)
  res *= x if n.odd?
  res%M
end

m,n = gets.split.map {|e|e.to_i}
puts pow(m,n)