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 FoxSnake {
	public static void main(String args[]) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int m = sc.nextInt();
		int a=0,b=0;
		char[][] arr = new char[n][m];
		for(int i=0;i<n;i++,a++) {
			for(int j=0;j<m;j++) {
				if(i%2==0) {
					arr[i][j]='#';
					continue;
				}
				if(a==1) {
					if(j<m-1)
						arr[i][j]='.';
					else
						arr[i][j]='#';
				}
				else if(a==3) {
					if(j==0)
						arr[i][j]='#';
					else
						arr[i][j]='.';
					if(j==m-1)
						a=-1;	
				}
			}
		}
		for(int i=0;i<n;i++) {
			for(int j=0;j<m;j++) {
				System.out.print(arr[i][j]);
			}
			System.out.println();
		}
	}
}