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
m, k = list(map(int, input().split()))
n = m
twos = 0
fives = 0
while(n%2==0) or (n%5==0):
    if n%2 == 0:
        twos += 1
        n //= 2
    if n%5 == 0:
        fives += 1
        n //= 5
final = n * 2 ** max(k, twos) * 5 ** max(k,fives)
print(final)
