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 FoxAndSnake {

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