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=list(map(int,input().split()))
#print(" ".join(map(str,a)))
a=n
c2=0
c5=0
while n%5==0:
    n=n//5
    c5+=1
while n%2==0:
     n=n//2
     c2+=1
c2=k-c2
c5=k-c5
c2=c2 if c2>0 else 0
c5=c5 if c5>0 else 0
print(a*(5**c5)*(2**c2))
