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 Main{

	public static void main(String[] args) {
		Scanner scanner=new Scanner(System.in);
		String s[] = scanner.nextLine().split(" ");
		int k = Integer.parseInt(s[1]);
		int n = Integer.parseInt(s[0]);
		int x=0,y=0;
		while(n%5==0&&x<k)
        {
            n=n/5;
            x++;
        }
        while(n%2==0&&y<k)
        {
            n=n/2;
            y++;
        }
        System.out.print(n);
        for(int i=0;i<k;i++) {
        	System.out.print(0);
        }
        System.out.println();
 
		
	}

}

 		   		 	 			     	 	 		  	