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 A510 {
    public static void main(String [] args){
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        char [][] array = new char [n][m];
        for(int i = 0;i < n;i++){
            for(int j = 0;j < m;j++){
                if((i + 1)%2 == 1){
                array[i][j] = '#';}
                else if((i + 1)%4 == 2){
                    array[i][j] = '.';
                    array[i][m-1] = '#';
                }else if((i + 1)%4 == 0){
                    array[i][j] = '.';
                    array[i][0] = '#';
                }
            }
        }
        for(int i = 0;i < n;i++){
            for(int j = 0;j < m;j++){
                System.out.print(array[i][j]);
            }
            System.out.print("\n");
        }
    }
}
