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);
    String[] input = sc.nextLine().split(" ");
    int n = Integer.parseInt(input[0]);
    int m = Integer.parseInt(input[1]);

    String[] print = new String[4];

    String hash = "";
    String right = "";
    String left = "";

    for(int i = 0;i < m;i++){
      if(i == 0){
        left += "#";
        right += ".";
      }
      else if (i == m - 1){
        left += ".";
        right +="#";
      }
      else{
        left += ".";
        right += ".";
      }
      hash += "#";
    }

    print[0] = hash;
    print[1] = right;
    print[2] = hash;
    print[3] = left;

    int state;

    for(int i = 0; i < n;i++){
      state = i % 4;
      System.out.println(print[state]);
    }
  }
}