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 Solution {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int m = sc.nextInt();
        String snake = printSnake(n, m);
        System.out.println(snake);
    }
    private static String printSnake(int n, int m) {
        int flag = m;
        StringBuffer sb = new StringBuffer("");
        for(int r = 1; r <= n; r += 1) {
            for(int c = 1; c <= m;  c += 1) {
                if(r % 2 != 0)
                sb.append("#");
                else if(c == flag) {
                    sb.append("#");
                }
                else
                sb.append(".");
            }
            if(r % 2 == 0)
            flag = m - flag + 1;
            sb.append("\n");
        }
        return sb.toString();
    }
}