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.math.BigInteger;
import java.util.*;


public class Main {
    
    public static void main(String[] args){
        Scanner input = new Scanner(System.in);
        
        long n = input.nextLong();
        long k = input.nextLong();
        k = (long) Math.pow(10, k);
        for (int i = 1; i <=k; i++) {
            if(k%i==0 && n*i%k==0)
            {
                System.out.println(n*i);
                break;
            }
        }
        
        
          
        
    }

   
    
    
}

