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.Scanner;


 public class Solution2 
 {
    
    public static void main(String[] args) 
    { 
        Scanner sc=new Scanner(System.in);
        int n,m,d=1,it=1,k=0;
        n=sc.nextInt();
        m=sc.nextInt();
        
        char snake[][]=new char[n+1][m+1];
        
        
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=m;j++)
            {
                if(i==1)
                {
                    snake[i][j]='#';
                    
                }
                else
                {
                    snake[i][j]='.';    
                    
                }
                    
                
            }   
        }
        
        
        while(d<n)
        {
            // down
            
            it=it+1;
            
             k=1;
            //System.out.println(" it " + it);
            if(it%2==0)
            {
              k=m;
              //System.out.println(" k =  " + k);
            }
            for(int i=1;i<=2;i++)
            {
                d++;
                snake[d][k]='#';
            }
            // left or right
            for(int j=m;j>=1;j--)
                {
                
                     snake[d][j]='#';
                }
        }
        
        
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=m;j++)
            {
                System.out.print(snake[i][j]);
            }
            System.out.println("   ");
        
        }   
        
        
    }
 }
        
        