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;

/**
 * Created by ktao on 2/2/15.
 */
public class FoxAndSnake {

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int[] nAndM = parseIntsFromStringArray(scanner.nextLine().split(" "));
        int rows = nAndM[0];
        int cols = nAndM[1];

        for(int r = 0; r < rows; r++){
            StringBuilder stringBuilder = new StringBuilder();
            for(int c = 0; c < cols; c++){
                if(r % 2 == 0){
                    stringBuilder.append('#');
                } else {
                    if(r % 4 == 1){
                        if(c == cols - 1){
                            stringBuilder.append('#');
                        } else {
                            stringBuilder.append('.');
                        }
                    } else if(r % 4 ==3){
                        if(c==0){
                            stringBuilder.append('#');
                        } else {
                            stringBuilder.append('.');
                        }
                    }
                }
            }
            System.out.println(stringBuilder);
        }

    }


    private static int[] parseIntsFromStringArray(String[] goalsString) {
        int[] result = new int[goalsString.length];
        for (int i = 0; i < result.length; i++) {
            result[i] = Integer.parseInt(goalsString[i]);
        }
        return result;
    }
}
