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 A {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int row = in.nextInt();
        int col = in.nextInt();
        char[][] grid = new char[row][col];
        String full = "";
        String right = "";
        String left = "";
        for (int i = 0; i < col; i++) {
            if (i == 0) left += "#";
            else left += ".";
            if (i == col - 1) right += "#";
            else right += ".";
            full += "#";
        }

        int idx = 0;

        for (int j = 0; j < row; j++) {
            if (j % 2 == 0) System.out.println(full);
            else {
                if (idx % 2 == 0) System.out.println(right);
                else System.out.println(left);
                idx++;
            }
        }
    }
}