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
import math

a,b = map(int, input().split())
d = a
cnt_2 = 0
cnt_5 = 0
while a % 2 == 0:
    a /= 2
    cnt_2 += 1

while a % 5 == 0:
    a /= 5
    cnt_5 += 1
umn = 1
cnt_2_raz = max(b - cnt_2, 0)
cnt_5_raz = max(b - cnt_5, 0)

while cnt_2_raz > 0:
    umn *= 2
    cnt_2_raz -= 1

while cnt_5_raz > 0:
    umn *= 5
    cnt_5_raz -= 1
print(d * umn)
