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())
n1 = n
while n1 % 10 == 0:
    n1 //= 10
    k -= 1
if k == 0:
    print(n)
else:
    f = 0
    while n1 % 2 == 0:
        n1 //= 2
        n *= 5
        k -= 1
        if k == 0:
            print(n)
            f = 1
            break
    if f == 0:
        while n1 % 5 == 0:
            n1 //= 5
            n *= 2
            k -= 1
            if k == 0:
                print(n)
                f = 1
                break
    if f == 0:
        while k > 0:
            n *= 10
            k -= 1
        print(n)
