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 solution
{
	static int count(int n,int x)
	{
		int cnt = 0;
		while(n>0)
		{
			if(n%x==0)
			{
				cnt++;
				n = n/x;
			}
			else break;
		}
		return cnt;
	}
	public static void main(String args[])
	{
		Scanner sc  = new Scanner(System.in);
		int n = sc.nextInt(), k = sc.nextInt();
		int tw = count(n,2), fv = count(n,5);
		long ans = 1;
		if(tw < k) ans *= (long) Math.pow(2,(k-tw));
		if(fv < k) ans *= (long) Math.pow(5,(k-fv));
		System.out.println(n*ans);
	}
}