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.*;
import java.lang.*;
 
public class Main{
    public static void main(String[] args){
        Scanner obj = new Scanner(System.in);
        int n = obj.nextInt();
        int m = obj.nextInt();
        boolean count=true;
        char[][] mat = new char[n][m];
        for(int p=0;p<n;p++){
            for(int q=0;q<m;q++){
                mat[p][q]='.';
            }
        }
        for(int i=0;i<n;i++){
            for(int j=0;j<m;j++){
                if(i%2==0){
                    mat[i][j]='#';
                    //count=true;
                }
                else{
                    if(count){
                        mat[i][m-1]='#';
                        count=false;
                        break;
                    }
                    if(!count){
                        mat[i][0]='#';
                        count=true;
                        break;
                    }
                    //count=true;
                }
            }
        }
        for(int x=0;x<n;x++){
            for(int y=0;y<m;y++){
                System.out.print(mat[x][y]);
            }
            System.out.println();
        }
    }
}