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 max_power(x,s):
	c=0
	t=x
	while t%s==0:
		t//=s
		c+=1
	return c

n,k=map(int,input().split())
c2=max_power(n,2)
c5=max_power(n,5)
x=max(0,k-c2)
y=max(0,k-c5)
a=(2**x)*(5**y)
print(n*a)