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())
s = int(str(n))
c=0
v=0
while(n%5==0):
	n=n//5
	c+=1
while(n%2==0):
	n=n//2
	v+=1

d = min(v,c)
l= max(v,c)
if(d>=k):
	print(s)
elif(l>=k):
	if l==v:
		s = s*(5**(k-d))
		print(s)
	elif(l==c):
		s = s*(2**(k-d))
		print(s)
else:
	s = s*(5**(k-c))*(2**(k-v))
	print(s)
