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 = input().split()
n = int(n)
k = int(k)

z = n
j = 0
i = 0
while z % 5 == 0:
    z = z / 5
    j += 1

z = n
while z % 2 == 0:
    z = z / 2
    i += 1

if k <= j and k <= i:
    print(n)

if k > j and k <= i:
    n = n * 5**(k - j)
    print(n)

if k <= j and k > i:
    n = n * 2**(k - i)
    print(n)

if k > j and k > i:
    n = n * (2**(k - i)) * (5**(k - j))
    print(n)