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.util.*;
public class snake
{
    
    
    public static void main(String []args)
    {
        
        
        
        Scanner s=new Scanner(System.in);
        int m ,n ;
        n=s.nextInt();
        m=s.nextInt();
        
        char table[][]=new char[n][m];
        int flag=0;
        for(int i=0;i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
                table[i][j]='.';
                if(i%2==0)
                {
                    table[i][j]='#';
                    
                }
              
                
                
            }
            
            if(i%2==1 && flag==0)
                {
                    //System.out.println(i+"   1      ");
                    table[i][m-1]='#';
                    flag=1;
                    
                }
                else if(i%2==1 && flag==1)
                {
                    //System.out.print(i+    "        2   ");
                    table[i][0]='#';
                    flag=0;
                    
                }
            
            
            
            
            
        }
        
        for(int i=0;i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
                System.out.print(table[i][j]);
                
            }
            System.out.println();
        }
        
        
    }
}