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 CodeForces53 {
  public static void main(String argv[]) {
    Scanner scanner = new Scanner(System.in);
    
    int height = scanner.nextInt(); //Get height and width
    int width = scanner.nextInt();
    
    for(int i = 1; i < height + 1; i++) { //Every odd integer has all pound signs.
      if(i % 2 == 1) {
        for(int j = 0; j < width - 1; j++) {
          System.out.print("#");
        }
        System.out.println("#");
      } else if(i % 4 == 2) { //Every integer that is 2 mod four has a pound sign at the end of a row of dots.
        for(int l = 0; l < width - 1; l++) {
          System.out.print(".");
        }
        System.out.println("#");
      } else { //Every integer that is 0 mod 4 has a pound sign before a row of dots.
        System.out.print("#");
        for(int k = 0; k < width - 2; k++) {
          System.out.print(".");
        }
        System.out.println(".");
      }
    }
    
    scanner.close();
  }
}
