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 = input().split()
k = int(k)
n = int(n)
a = n
b = 10**k
if n%10 == 5 or n%10 == 0 or n%2 ==0:
	while a%2 == 0 and b%2 == 0:
		a = a//2
		b = b//2
	while a%5 == 0 and b%5 == 0:
		a = a//5
		b = b//5
	a = n*b
else:
	a = a*(10**k)
print (a)