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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.List;
import java.util.stream.Collectors;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        String[] strs = br.readLine().split("\\s+");
        int n = Integer.parseInt(strs[0]);
        int m = Integer.parseInt(strs[1]);

        char[][] arr = new char[n][m];

        int i = 0;
        int j = 0;
        int dir = 0;
        while (i < n) {
            if (dir == 0) {
                while (j<m) {
                    arr[i][j] = '#';
                    j++;
                }
                i++;
                j--;
                dir=1;
            }
            else if (dir == 1) {
                int count = 0;
                arr[i][j] = '#';
                i++;

                dir = j == 0 ? 0 : 2;
            }
            else if (dir == 2) {
                while (j >= 0) {
                    arr[i][j] = '#';
                    j--;
                }
                i++;
                j++;
                dir = 1;
            }
        }

        for (i=0;i<n;i++) {
            for (j=0;j<m;j++) {
                if (arr[i][j] != '#') {
                    arr[i][j] = '.';
                }
            }
        }

        printSnake(arr);
    }

    private static void printSnake(char[][] arr) {
        for (int i=0; i<arr.length; i++) {
            for (int j=0;j<arr[i].length; j++) {
                System.out.print(arr[i][j]);
            }

            System.out.println();
        }
    }
}
