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[] arrg){
        Scanner in=new Scanner(System.in);
        int a=in.nextInt();
        int b=in.nextInt();
        String cad="";
        String cad1="";
        String cad2="#";
        for(int i=0;i<b;i++){
            cad+="#";
        }
        for(int i=0;i<b-1;i++){
            cad1+=".";
            cad2+=".";
        }
        cad1+="#";
        
        boolean bandera=true;
        for(int i=0;i<a;i++){
            if(i%2==0){
                System.out.println(cad);
            }
            else{
                if(bandera==true){
                    System.out.println(cad1);
                    bandera=false;
                }
                else{
                    System.out.println(cad2);
                    bandera=true;
                }
             }
        }
    }
}
