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
def r(n):
   t = 0
   f = 0
   while n % 2 == 0:
       t += 1
       n //= 2
   while n % 5 == 0:
       f += 1
       n //= 5
   return t, f

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

t, f = r(n)

ans = n * 10 ** k

ans //= 5 ** min(f, k)

ans //= 2 ** min(t, k)

print(ans)
