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.*;
import java.lang.reflect.Array;
import java.math.*;

public class HangDepTroai {
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        int number1 = input.nextInt();
        int number2 = input.nextInt();
        int[][] array = new int[number1][number2];
        int[] arrayTemp = new int[number1];
        for (int i = 0, j = 0,n=3; i < number1; i++, j++) {
            if(j==n){
                arrayTemp[i]=j;
                n+=4;
            }
            else{
                arrayTemp[i] =0;
            }
        }
        for (int i = 0,temp=0; i < array.length; i++,temp++) {
            for (int j = 0; j < array[i].length; j++) {
                if (i != arrayTemp[i] && i % 2 != 0 && j < array[i].length - 1) {
                    System.out.print(".");
                } 
                else if(i==arrayTemp[i] && i%2!=0 && j ==0){
                    System.out.print("#");
                }
                else if(i==arrayTemp[i] && i%2!=0 && j >0){
                    System.out.print(".");
                }
                else{
                    System.out.print("#");
                }
            }
            System.out.println();
        }
    }
}