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=map(int, input().split())
x=n
i=2
c2=0 
c5=0
while i*i<=n:
   if n%i==0:
       cnt=0
       while(n%i==0):
           n=n//i
           cnt+=1
       if i==2:
            c2=cnt
       elif i==5:
           c5=cnt
           break
   i+=1
# print(c2,c5,"n=",n)
if n!=0 and n==2:
    c2=1
elif n!=0 and n==5:
    c5=1
# print(c2,c5,"n=",n)
if c2>=k and c5>=k:
    print(x)
else:
    if k-c2>0:
        result=x*(2**(k-c2))
    else:
        result=x
    if k-c5>0:
        result=result*(5**(k-c5))
    print(result)