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 FoexAndSnake {
	public static void main(String[]args) {
		Scanner sc = new Scanner (System.in);
		int col = sc.nextInt();
		int row = sc.nextInt();
		boolean left = true;
		for(int i=0;i<col;i++){
			for(int j=0;j<row;j++) {
				if(i%2==0) {
					System.out.print("#");
				}else {
					if(left==true) {
						if(j==row-1) {
							System.out.print("#");
						}else {
							System.out.print(".");
						}
					}else {
						if(j==0) {
							System.out.print("#");
						}else {
							System.out.print(".");
						}
					}
					
				}
				
				
			}
			if(i%2!=0) {
				if(left==true) {
					left = false;
				}else {
					left = true;
				}
			}
			System.out.println(" ");
			
		}
	}

}
