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=map(int,input().split())
if k==0:
    print(n)
else:
    n1=n
    k=10**k
    k1=k
    while ((n>0) and (k>0)):
        if n>k:
            n=n%k
        else:
            k=k%n
    if n==0:
        nod=k
    else:
        nod=n
    nok=n1*k1//nod
    print(nok)