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, z = input().split()
n = int(n)
num = int(n)
z = int(z) 
d = 2
jagob2=1
jagob5=1
result={}
result[2] = 0
result[5] = 0
while d <= 5: 
    count=0
    while n%d == 0:
        count+=1
        n = n/d 
    if count!=0: 
        result[d] = count
    else:
        d = d +3
if z-result[2]>0:
    jagob2=2**(z-result[2])

if z-result[5]>0:
    jagob5=5**(z-result[5])
print (jagob5*jagob2*num)

