Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.

A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1, m), then goes down 2 rows to (3, m), then goes left to (3, 1) and so on.

Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').

Consider sample tests in order to understand the snake pattern.

Input

The only line contains two integers: n and m (3 ≤ n, m ≤ 50). 

n is an odd number.

Output

Output n lines. Each line should contain a string consisting of m characters. Do not output spaces.

Examples

Input

3 3


Output

###
..#
###


Input

3 4


Output

####
...#
####


Input

5 3


Output

###
..#
###
#..
###


Input

9 9


Output

#########
........#
#########
#........
#########
........#
#########
#........
#########
import java.io.*;
import java.util.*;
import java.lang.*;
import java.math.*;


public class Solution
{
    public static void main(String args[])
    {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        boolean flag=false;
       // boolean flag = true;
       int tempi=0;
        for(int i=0 ; i<n ;i++)
        {
            for(int j=0; j<m ;j++)
            {
               
            if(i%2==0 )  
                {
                  System.out.print("#");
                }
                else if((j==m-1 && flag==false) || (j==0 && flag==true))
                {
                        if(j==m-1 && flag==false  )
                    {
                        if(tempi!=i)
                        {
                        System.out.print("#");
                        flag=true;
                        }
                        else
                        System.out.print(".");
                     }
                   else if(j==0 && flag==true)
                    {
                      System.out.print("#");
                      flag=false;  
                      tempi=i;
                     }
                }
                else
                System.out.print(".");
                
            }
            System.out.println();
        }
        
        
    }
} 