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 = [int(x) for x in input().split()]
n1 = n
cnt5 = cnt2 = 0
for i in range(k):
    if n1 % 2 == 0:
        n1 //= 2
        cnt2 += 1
    else:
        break
for i in range(k):
    if n1 % 5 == 0:
        n1 //= 5
        cnt5 += 1
    else:
        break
if cnt2 >= k and cnt5 >= k:
    print(n)
else:
    print(n * 2 ** (k - cnt2) * 5 ** (k - cnt5))