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 Problem3{
  public static void main (String[] args){
    Scanner sc = new Scanner(System.in);
    int num1 = sc.nextInt();
    int num2 = sc.nextInt();
    
    //indicates if end of the ine ba or not 
    int mark = 0; 

    for(int i = 0; i < num1; i++){
      for(int j = 0; j < num2; j++){
        if(i % 2 == 0){
          System.out.print("#");
        }
        else if(i % 2 ==1 && mark == 0)
        {
          if(j<num2-1){
            System.out.print(".");
          }
          else{
            mark = 1;
            System.out.print("#");
          }
        }
        else if(i % 2 == 1 && mark == 1){
          if(j == 0){
            System.out.print("#");
          }
          else{
            System.out.print(".");
          }
          if(j == num2-1){
            mark =0;
          }
        }
      }
      System.out.println("");
    }
    
  }
}