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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class A510 {

    public static void main(String[] args) throws IOException {
        BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st = new StringTokenizer(bf.readLine());
        int rows = Integer.parseInt(st.nextToken());
        int col = Integer.parseInt(st.nextToken());
        StringBuffer sb = new StringBuffer();
        for(int i = 1; i <= rows; i++){
            sb = new StringBuffer();
            for(int j = 1; j <= col; j++){
                if(i % 2 != 0){
                    sb.append('#');
                } else {
                    if(i % 4 == 0 && j == 1)
                        sb.append('#');
                    else if (j == col && i % 4 != 0)
                        sb.append('#');
                    else
                        sb.append('.');
                }
            }
            System.out.println(new String(sb));
        }
    }

}