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.*;

public class Krounding {

    public static void main (String[] args) {

        Scanner  kbd=new Scanner(System.in);
        long x = kbd.nextLong();
        int y = kbd.nextInt();
        int numA = 0;
        int numB = 0;
        long temp = x;
        while(x%2==0){
            numA++;
            x/=2;
        }
        while(x%5==0){
            numB++;
            x/=5;
        }

        if(numA<y){
            temp*=((long)Math.pow(2, y-numA));
        }
        if(numB<y){
            temp*=(long)Math.pow(5, y-numB);
        }
        System.out.println(temp);
    }}