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: Runtime Error)

n,m=gets.split.map(&:to_i)
mod=1000000007
#puts "直接 => #{(n**m)%mod}"
if m==0
    p n%mod 
else
ns=[]
while(m!=0)
    if m%2==1
        ns.push(n%mod)
    end
    n=n**2
    m/=2
end
p ns.inject{|a,b|a*b}%mod
end