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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/* package whatever; // don't place package name! */

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

/* Name of the class has to be "Main" only if the class is public. */
public class Main
{
    public static void main (String[] args) throws java.lang.Exception
    {
        // your code goes here
        BufferedReader inp=new BufferedReader(new InputStreamReader(System.in));
        String s[]=inp.readLine().split(" ");
        int n=Integer.parseInt(s[0]);
        int m=Integer.parseInt(s[1]);
        int[][] array=new int[n+1][m+1];
        int flag=1;
        int a=0;
        for(flag=1;flag<n+1;flag++)
        {
            if(a%2==0)
            {  // System.out.println("even");
                for(int i=1;i<m+1;i++)
                array[flag][i]=1;
                if(flag+1<n+1)
                    flag++;
                else
                break;
                array[flag][m]=1;
                    a++;
                
            }
            else
            {
        //  System.out.println("odd");
                for(int i=1;i<m+1;i++)
                array[flag][i]=1;
                if(flag+1<n+1)
                    flag++;
                else
                break;
                array[flag][1]=1;   
                a++;
            }
        }
    
        for(int i=1;i<n+1;i++)
        {
            for(int j=1;j<m+1;j++)
            {
            if(array[i][j]==1)
                System.out.print("#");
                else
                System.out.print(".");
                
            }
            System.out.println();
        }
        
    }
}