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())
i = 10
c = 0
while n%i == 0:
  i *= 10
  c += 1
n1 = n//(10**c)
k -= c
k1 = k
k2 = k
if k <= 0:
  print(n)
else:
  while n1%5 == 0 and k1 > 0:
    n1 = n1//5
    k1 -= 1
  while n1%2 == 0 and k2 > 0:
    n1 = n1//2
    k2 -= 1 
  print(str(n1) + '0'*(k+c))