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 sc=new Scanner (System.in);
  int n=sc.nextInt();
  int m=sc.nextInt();
  for (int i=1;i<=n;i++){
    if(i%2!=0){
    for(int j=1;j<=m;j++){
    System.out.print("#");
    
    }
    System.out.println();
    }
    else if(i%4==0){
      System.out.print("#");
     for(int j=1;j<m;j++){
    System.out.print(".");
    
    }
     
     System.out.println();
    }
    else{
     
       for(int j=1;j<m;j++){
    System.out.print(".");
    
    }
       System.out.print("#");
       System.out.println();
  
  }
  }
  }
}

 	 	     	 						   	  	  	 			