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
from sys import stdin as fin
# fin = open("tc171a.in", "r")


n, k = map(int, fin.readline().split())
# print(n, k)
n_, cnt, m = n, 0, 1
while not n % 10 and cnt < k:
    n, cnt = n // 10, cnt + 1
# print(n, cnt, m)
if n % 2:
    # print("ololo")
    while not n % 5 and cnt < k:
        n, cnt, m = n // 5, cnt + 1, m * 2
else:
    while not n % 2 and cnt < k:
        n, cnt, m = n // 2, cnt + 1, m * 5
# print(n, cnt, m)
if cnt < k:
    m *= 10**(k - cnt)
# print(n, cnt, m)
print(n_ * m)