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()))
res = [0, 0]
need = n
while need % 2 == 0 or need % 5 == 0:
    if need % 2 == 0:
        res[0] += 1
        need //= 2
    else:
        res[1] += 1
        need //= 5

if res[0] < k:
    two = 2 ** (k - res[0])
else:
    two = 1
if res[1] < k:
    five = 5 ** (k - res[1])
else:
    five = 1
print(n * two * five)