k-rounding

1000ms

262144K

Description:

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.

Sample Input:

375 4

Sample Output:

Sample Input:

10000 1

Sample Output:

Sample Input:

38101 0

Sample Output:

Sample Input:

123456789 8

Sample Output:

12345678900000000

Informação

Provedor Codeforces

Código CF858A