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)
if k < 1:
	print(n)
	exit()
init = n

# zeros = ''.join(['0' for _ in range(k)])
# l = list(n)
# print(zeros)
# print(l)
t = 0
while True:
	if n == 0:
		break
	if n%2 == 0:
		t+=1
		n = n/2
	else:
		break

l = 0
while True:
	# print('ENtrou')
	if n == 0:
		break
	if n%5 == 0:
		l+=1
		n = n/5
	else:
		break

if t <= k:
	t = k-t
else:
	t=0

if l <= k:
	l = k-l
else:
	l=0


print(int(init*(2**(t))*(5**(l))))
# print(t)
# print(l)


# for x in range(1, n):
# 	a = int(str(x)+zeros)
# 	if a%int(n) == 0:
# 		print(a)
# 		exit()
