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.InputStreamReader;
import java.io.IOException;
import java.util.Arrays;

public class cap {
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringBuffer sb = new StringBuffer();
        StringBuilder sbu = new StringBuilder();
        String[] nm = br.readLine().split(" ");
        int row = Integer.parseInt(nm[0]);
        int col = Integer.parseInt(nm[1]);
        String tag = "", dot = "", norm = "";
        for (int i = 0; i < col; i++) tag += "#";
        for (int i = 0; i < col - 1; i++) dot += ".";
        dot += "#";
        sbu.append(dot);
        sbu = sbu.reverse();
        norm = sbu.toString();
        for (int i = 0; i < (row - 1) / 2; i++) {
            if (i % 2 == 0) sb.append(tag + "\n" + dot + "\n");
            else sb.append(tag + "\n" + norm + "\n");
        }
        sb.append(tag);
        System.out.println(sb);
    }
}
