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 Task1 {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        long n = sc.nextInt();
        int m = sc.nextInt();
        del(n, m);
    }

    public static void del (long n, int m) {
        int d = 0;
        int l = 0;
        long b = n;
        for (int i = 0; i < n; i++) {
            if (b % 10 == 0) {
                d++;
                b /= 10;
            } else {
                l = (int) b % 10;
                break;
            }
        }
        if (d < m) {
            if (l == 1 || l == 3 || l == 7 || l == 9) {
                n *= 10;
                del(n, m);
            } else if (l == 2 || l == 4 || l == 6 || l == 8) {
                n *= 5;
                del(n, m);
            } else if (l == 5) {
                n *= 2;
                del(n, m);
            }
        } else {
            System.out.println(n);
        }
    }
}

