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
# задачка А

# сперва считываем k и n
# поскольку входных данных нет, предполагается, что они записаны в одну строчку через пробел, причем сперва идет k, потом n
# если формат входных данных иной, считывание надо переделать
n, k = input().split()
k, n = int(k), int(n)

n1 = n
count2 = 0
while n1 % 2 == 0:
	n1 = n1//2
	count2 += 1

n1 = n
count5 = 0
while n1 % 5 == 0:
	n1 = n1//5
	count5 += 1


if k-count2 > 0: n *= 2**(k-count2)
if k-count5 > 0: n *= 5**(k-count5)	

print(n)


