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 Main{
    public static void main(String[]args){
        Scanner x = new Scanner (System.in);
           long y = x.nextLong() , z = x.nextLong();
           long s=0,k=y,b=1;
            while (k%10==0){s++;k/=10;}
            long o=k%10;
            if(z==0||s>=z)System.out.println(y);
            else {
                long n=z;
                while (n-->0)b*=10;
                if((o==0||o%2!=0)&&o!=5) {
                    z-=s;
                    while (z-- > 0) y *= 10;
                    System.out.println(y);
                }
                else if(o==5){
                    for(long i=2;;i+=2){
                        long h = y*i;
                        if(h%b==0){y=h;break;}
                    }
                    System.out.println(y);
                }
                else {
                    for(long i=5;;i+=5){
                        long h = y*i;
                        if(h%b==0){y=h;break;}
                    }
                    System.out.println(y);
 
                }
            }
    }}