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 Main{
    public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);
        StringBuilder sb = new StringBuilder();
        int n = sc.nextInt();
        int m = sc.nextInt();
        for(int j = 1; j <= n; j++) {
            if(j % 2 == 1) {
                for(int i = 1; i <= m; i++) {
                    sb.append("#");
                }
                sb.append("\n");
            } else if(j % 4 == 2) {
                for(int i = 1; i < m; i++) {
                    sb.append(".");
                }
                sb.append("#\n");
            } else if(j % 4 == 0) {
                sb.append("#");
                for(int i = 1; i < m; i++) {
                    sb.append(".");
                }
                sb.append("\n");
            }
        }
        cout(sb);
    }

    private static void cout(Object a) {
        System.out.print(a);
    }
}