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 = [int(i) for i in input().split()]
if k == 0 :
	print(n)
else:
	f = 0
	t = 0
	n2 = n
	n3 = n
	while n2%2 == 0:
		t+=1
		n2 = n2/2
	n2 = int(n2)
	while n2%5 == 0:
		f+=1
		n2 = n2/5
	while f < k :
		n *= 5
		f +=1
	while t < k :
		n*= 2
		t+=1
	print(n)
