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 Main {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt(),m = in.nextInt(),b=0;
        char[][] s = new char[n][m];
        for (int i = 0; i < s.length; i++) {
                if(i % 2 == 0){
                    for (int j = 0; j < m; j++)s[i][j] ='#';}
                else{
                    if(b%2 == 0){
                        for (int k = 0; k < m-1; k++)s[i][k]='.';
                        s[i][m-1]='#';}
                    else{
                        s[i][0]='#';
                        for (int k = 1; k < m; k++)s[i][k]='.';}
                    b++;
                } 
            }
        for (int i = 0; i < s.length; i++) {
            for (int j = 0; j < s[i].length; j++) {
                System.out.print(s[i][j]);
            }
            System.out.println();
        }
    }
    
}
