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;


public class FoxSnake {

    public static void main(String[] args) {
        int n,m;
        Scanner sc=new Scanner(System.in);
        n=sc.nextInt();
        m=sc.nextInt();
        if(n>=3&&(n%2!=0)&&m<=50){
            for(int i=1;i<=n;i++){
                for(int j=1;j<=m;j++){
                  if(i%2!=0)
                   System.out.print("#");       
                  else{
                      if(i%4==0){
                      if(j==1)
                        System.out.print("#");
                      else
                        System.out.print(".");
                }else{
                   if(j==m)
                       System.out.print("#");
                   else
                      System.out.print(".");
                       
                   }
                       
                }
               }
                System.out.println();
              }  
                
            }   
            
        }
        
    }

