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())
c = 10**k
t = n
two = 0
five = 0
while t%2 == 0:
    t=t//2
    two += 1
while t%5 == 0:
    t=t//5
    five += 1
answ = n * 5**max((k-five), 0) * 2**max((k-two), 0)
print(answ)