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 SnakeDot{
	public static void main(String[] args){
		Scanner scan = new Scanner(System.in);
		int row = scan.nextInt();
		int col = scan.nextInt();
		int mark = 1;
		for(int i=1; i<=row; i++)
		{	
			if(i%2 !=0)
			{
				for(int j=0; j<col; j++)
				{
					System.out.print("#");
				}
			}
			else if(i%2 == 0 && i%4 != 0)
			{
				for(int k=0;k<col-1; k++)
				{
					System.out.print(".");
				}
				System.out.print("#");
			}
			else 
			{
				System.out.print("#");
				for(int l=0 ;l<col-1;l++)
				{
					System.out.print(".");
				}
			}
			System.out.println();
		}
	}
}

