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 methodThree {

	public static void kRounding()
	{
		long n,k,y,a,b,r=0,x=1;
		long ans;
		Scanner sc=new Scanner(System.in);
		n=sc.nextInt();
		k=sc.nextInt();
		for(int i=0;i<k;i++)
		{
			x=x*10;
		}
		ans=(n*x);
		if(x<n)
		{
			a=x;b=n;
		}
		else
		{
			a=n;b=x;
		}
		if(b%a==0)
		r=a;
		else
		{
			while(b%a!=0)
			{
				r=b%a;
				b=a;
				a=r;
			}
		}
		System.out.println(ans/r);
	}

	public static void main(String[] args) throws IOException {
		kRounding();
	}
}