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 FoxAndSnake {
	public static void main(String[] args) {
		Scanner sanat = new Scanner(System.in);
		int n = sanat.nextInt();
		int m = sanat.nextInt();
		char [][]a = new char[n+1][m+1];
		boolean bir = true, ikki = false;
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <=m ; j++) {
				if(i%2!=0)
					a[i][j]='#';
				else{
					if(bir){
						if(j==m){
							a[i][m]='#';
							bir = false;
							ikki = true;
						}else{
							a[i][j]='.';
						}
					} else{
						if(ikki){
							if(j==1)
								a[i][1] = '#';
							else
								a[i][j] = '.';
							if(j==m){
								bir = true;
								ikki  =false;
							}
						}
					}
				}
						
			}
		}
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= m; j++) {
				System.out.print(a[i][j]);
			}
			System.out.println();
		}
	}
}
