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 c0(x):
	c=0
	while x%10==0:
		c+=1
		x=int(x/10)
	ld=x
	return c, ld
n, k=map(int, input().split())
c, d=c0(n)
k-=c
c=10**c
while k>0:
	if not d*2%10:
		d=int(d/5)
	elif not d*5%10:
		d=int(d/2)
	c*=10
	k-=1
print(d*c)