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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

public class Main
{
    public static void main(String[] args)
   	{
       	InputStream inputStream = System.in;
       	OutputStream outputStream = System.out;
       	Reader in = new Reader(inputStream);
       	PrintWriter out = new PrintWriter(outputStream);
       	TaskA solver = new TaskA();
       	solver.solve(1, in, out);
      	out.close();
	}
}
class TaskA
{
    public void solve(int testNumber, Reader in, PrintWriter out)
    {
        long n = Long.parseLong(in.next());
        int k = in.nextInt();
        long temp=n;
        int cnt2=0,cnt5=0,tempk=k;
        while(0<tempk&&temp%2==0)
        {
        	cnt2++;
        	temp/=2;
        	tempk--;
        }
        tempk=k;
        while(0<tempk&&temp%5==0)
        {
        	cnt5++;
        	temp/=5;
        	tempk--;
        }
        for(int i=0;i<k-cnt2;i++)
        {
        	n*=2;
        }
        for(int i=0;i<k-cnt5;i++)
        {
        	n*=5;
        }
        out.println(n);
    }
}

class Reader
{
	public BufferedReader reader;
	public StringTokenizer tokenizer;

	public Reader(InputStream stream)
	{
		reader = new BufferedReader(new InputStreamReader(stream), 32768);
		tokenizer = null;
	}

	public String next()
	{
		while (tokenizer == null || !tokenizer.hasMoreTokens())
		{
			try {
					tokenizer = new StringTokenizer(reader.readLine());
                }
            catch (IOException e)
            {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

}