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
a, b = list(map(int, input().split()))
c = a
while c % a != 0 or c % (10 ** b) != 0:
    d = c
    while d % 10 == 0:
        d = d // 10
    if d % 10 == 1 or d % 10 == 3 or d % 10 == 7 or d % 10 == 9:
        c = c * 10
    else:
        if d % 10 == 5:
            c = c * 2
        else:
            c = c * 5
print(c)