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 fox_snake {
    public static void main(String [] args){
        Scanner s = new Scanner(System.in);
        
        int [][] ar = new int [100][100];
        int i, j, r=s.nextInt(), c=s.nextInt(), count = 0;
        
        for(i=0;i<r;i++){
            for(j=0;j<c;j++){
                if(i%2==0){
                    System.out.print("#");
                }
                else {
                    if(count==0){
                        if(j==c-1){
                            System.out.print("#");
                            count++;
                        }
                        else {
                            System.out.print(".");
                        }
                    }
                    else if(count!=0){
                        if(j==c-1){
                            System.out.print(".");
                            count=0;
                        }
                        else if(j==0){
                            System.out.print("#");
                        }
                        else {
                            System.out.print(".");
                        }
                    }
                }
            }
            System.out.println();
        }
    }
}
