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.*;
import java.math.*;

public class Code {

	static Scanner sr = new Scanner(System.in);

	public static void main(String[] rows) {

		int rowsNumber = sr.nextInt();
		int columnsNumber = sr.nextInt();
		boolean isOddRow = true;
		boolean sideFlag = true;
		for (int i = 0; i < rowsNumber; i++) {
			for (int j = 0; j < columnsNumber; j++) {
				if (isOddRow) {
					System.out.print("#");

				} else {
					int sideIndex = 0;
					if (!sideFlag)
						sideIndex = columnsNumber - 1;
					if (j == sideIndex)
						System.out.print("#");
					else
						System.out.print(".");
				}
			}
			System.out.println();
			isOddRow = !isOddRow;
			if(!isOddRow) sideFlag =!sideFlag;
		}
	}
}
