For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.

For example, 4-rounding of 375 is 375·80 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.

Write a program that will perform the k-rounding of n.

Input

The only line contains two integers n and k (1 ≤ n ≤ 109, 0 ≤ k ≤ 8).

Output

Print the k-rounding of n.

Examples

Input

375 4


Output

30000


Input

10000 1


Output

10000


Input

38101 0


Output

38101


Input

123456789 8


Output

12345678900000000
n,k=list(map(int,input().split()))
k_=0
if n%(10**k)==0:
    print(n)
else:
    while n%10==0:
        n//=10
        k_+=1
    while k_<k:
        if n%2==0:
            n//=2
        elif n%5==0:
            n//=5
        else:
            break
        k_+=1
    print(n*10**k)
