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
a, k=input().split()
a = int(a)
k= int(k)
c = a
i = int(0)
j = int(0)
while a%2 ==0 :
    a = a // 2
    i = i + 1
a=c
while a%5 == 0 :
    a = a//5
    j = j +1
if i >= k:
    i = 0
else :
    i = k - i
if j >= k :
    j = 0
else:
    j = k - j
print(c *(2 ** i) *(5**j))
