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,x = map(int,input().split())
t = n
i = 1
flag = 0
while True:
	if t//pow(10,x) >= 1 and t%pow(10,x) == 0:
		flag = 1
		break
	k = (t%(pow(10,i)))//10**(i-1)
	if k == 0:
		pass
	elif k%2 == 1 and k != 5:
		i = i - 1
		break
	elif k == 5:
		t = t*2
	elif k%2 == 0:
		t = t*5
	i = i + 1
if flag==1:
	print(t)
else:
	print(t*10**max((x-i),0))
