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()
n = int(n)
k = int(k)
fixn = n
n2 = 0
n5 = 0
while (n%(2**n2)==0):
    n2 += 1
while (n%(5**n5)==0):
    n5 += 1
n2,n5 = n2-min(n2,n5),n5-min(n2,n5)
strn = str(n)
strn = strn[::-1]
zeros = 0
for i in strn:
    if i=='0':
        zeros += 1
    else:
        break
k -= zeros
k = max(k,0)
while (n2!=0 and k!=0):
    n *= 5
    n2 -= 1
    k -= 1
while (n5!=0 and k!=0):
    n *= 2
    n5 -= 1
    k -= 1
n = str(n)
n += '0'*k
print(n)
