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 CodeforcesProblems {

	public static void main(String[] arg){
		Scanner scanerIn = new Scanner(System.in);
		
		int rows, cols;
		
		rows = scanerIn.nextInt();
		cols = scanerIn.nextInt();
		scanerIn.close();
		
		for (int row = 0; row < rows; row++) {
			for (int col = 0; col < cols; col++){
				if ((row % 2 == 0)	// 从0开始计算，偶数行打印    #
						|| ((row / 2) % 2 == 0 && (col + 1) == cols) // 从0开始计算，奇数行中的第奇数行的最后一个打印   #
						|| ((row / 2) % 2 != 0 && col == 0)	// 从0开始计算，奇数行中的第偶数行的第一个打印   #
						) {
					System.out.print("#");
				} else {
					System.out.print(".");
				}
			}
			System.out.println();
		}
		
	}

}
