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
a = input()
n,k = a.split(' ')
n = int(n)
k = int(k)
pow2 = [1,2,4,8,16,32,64,128,256]
pow5 = [1,5]
for i in range(2,9):
	pow5.append(pow5[i-1]*5)
n1 = n
m5 = 0
m2 = 0
while n1 % 5 == 0:
	n1 = n1/5
	m5 += 1
n1 = n
while n1 % 2 == 0:
	n1 = n1/2
	m2 += 1
nd5 = k - m5
nd2 = k - m2
if nd2 < 0:
	nd2 = 0
if nd5 < 0:
	nd5 = 0
print(n*pow5[nd5]*pow2[nd2])