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
t = 1

for qwe in range(t):
    
    # n, k = map(int, f.readline().split())
    n, k = map(int, input().split())
    n1 = n
    cten = 0
    cfive = 0
    ctwo = 0
    
    while n % 10 == 0:
        n //= 10
        cten += 1
    
    while n % 5 == 0:
        n //= 5
        cfive += 1
    
    while n % 2 == 0:
        n //= 2
        ctwo += 1
    
    if cten >= k:
        print(n1)
    else:
        k -= cten
        if cfive != 0:
            if cfive >= k:
                n1 *= 2**k
            else:
                n1 *= 2**cfive
                k -= cfive
                n1 *= 10**k
        elif ctwo != 0:
            if ctwo >= k:
                n1 *= 5**k
            else:
                n1 *= 5**ctwo
                k -= ctwo
                n1 *= 10**k
        else:
            n1 *= 10**k
        
        print(n1)