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 java.util.Scanner;

public class A858 {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        long N = in.nextLong();
        int K = in.nextInt();
        for (int k=0; k<K; k++) {
            if (N%2 == 0) {
                N /= 2;
            }
            if (N%5 == 0) {
                N /= 5;
            }
        }
        for (int k=0; k<K; k++) {
            N *= 10;
        }
        System.out.println(N);
    }

}
