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.io.*;
import java.util.*;

public class A {
    public static void main(String[] args){
        new A().run();
    }
    public static void run(){
        Scanner in = new Scanner(System.in);
        long n = in.nextLong();
        int k = in.nextInt();
        int f = 1;
        while(n % Math.pow(10, k) != 0){
            long t = (long)n / f;
            t = t % 10;
            if(t == 5){
                n *= 2;
            } else if(t == 0){
                f *= 10;
            } else if(t % 2 == 0){
                n *= 5;
            } else {
                n *= 10;
            }
        }
        System.out.println(n);
    }
}
