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
/**
 * @(#)A858Nic.java
 *
 *
 * @author 
 * @version 1.00 2017/11/30
 */
 import java.util.Scanner;
public class A858Nic {
        
   

   
public static void main(String[] args)
{
    Scanner x=new Scanner(System.in);
   long a=x.nextLong(),b=x.nextLong(),temp=1;
  
   for(long i=1;i<=b;i++)
   {
       temp*=10;
   }
   long ans=a*temp/gcd(temp,a);
   System.out.println(ans);
    
    
}
static long gcd(long a, long b)
{
    
     return a == 0 ? b : gcd(b % a, a);
}

}
