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 last {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner s = new Scanner(System.in);
		int n = s.nextInt();
		int m = s.nextInt();
		StringBuilder sb = new StringBuilder();
		for(int i =0;i<m;i++)
			sb.append('#');
		String full = sb.toString();
		sb.setLength(0);
		sb.append('#');
		for(int i =1;i<m;i++)
			sb.append('.');
		String first = sb.toString();
		sb.setLength(0);
		
		for(int i =0;i<m-1;i++)
			sb.append('.');
		sb.append('#');
		String last = sb.toString();
		
		int flag = 1;
		for(int i =0;i<n;i++) {
				if((i&1)==1) {
					if(flag==1) {
						System.out.println(last);
						flag = 0;
					}
					else {
						System.out.println(first);
						flag = 1;
					}
				}
				else {
					System.out.println(full);
				}
	}

}
}
