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 scan=new Scanner(System.in);
    int n = scan.nextInt();
    int m = scan.nextInt();
    boolean status = false;

    for(int i = 0; i < n ; i++){
      if( i % 2 != 0){
        for(int j =0; j < m; j++){
          if(j == m-1 && status == false ){
            System.out.print("#");
            status =true;
          }else if(status == true && j == 0){
            System.out.print("#");
          }else if(status == true && j == m-1){
            System.out.print(".");
            status =false;
          }else{
            System.out.print(".");
          }
        }
      }else{
        for(int j =0; j < m; j++){
          System.out.print("#");
        }
      }
      System.out.println("");
    }
    

  }
  
}
