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;

/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author Madi
 */
public class A510 {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        String[] s = new String[4];
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < m; i++) {
            sb.append("#");
        }
        s[0] = sb.toString();
        s[2] = sb.toString();
        sb = new StringBuilder();
        for (int i = 0; i < m - 2; i++) {
            sb.append(".");
        }
        s[1] = "." + sb.toString() + "#";
        s[3] = "#" + sb.toString() + ".";
        
        for (int i = 0; i < n; i++) {
            System.out.println(s[i % 4]);
        }
        
    }
}
