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
def nulls(n):
    data = list(str(n))
    iter = 0
    for i in range(len(data)-1,-1,-1):
        if data[i] != 0:
            break
        iter+=1
    return iter
def sol():
    n,am = list(map(int,input().split()))
    if am == 0:
        print(n)
        return 0
    deviders = [n,1]
    iter = 2
    while iter*iter <= n:
        if iter*iter != n:
            if n%iter == 0:
                deviders.append(iter)
                deviders.append(n//iter)
        else:
            if n%iter == 0:
                deviders.append(iter)
        iter+=1
    vars = []
    for i in range(len(deviders)):
        nullsEnd = nulls(deviders[i])
        number = int(str(deviders[i]) + "0"*max(0,(am-nullsEnd)))
        if number%n == 0:
            vars.append(number)
    print(min(vars))
sol()
