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
e = [int(x) for x in input().split()]

n=e[0]
k=e[1]

while (n%10==0):
    n//=10
    k-=1
two=0
while (n%2==0):
    n//=2
    two+=1

five=0
while (n%5==0):
    n//=5
    five+=1

if k<=0:
    print (e[0])
else:
    n=e[0]*int(pow(10,k))
    if k>=two and k>=five:
        n//=int(pow(2,two)*pow(5,five))
    else:
        n//=int(pow(2,min(k,two))*pow(5,min(k,five)))
    print(n)

