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.BufferedWriter;
import java.io.IOException;
import java.io.OutputStreamWriter;
import java.util.Scanner;

/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author AndresFelipe
 */
public class A {

    
    public static void main(String Args[]) throws IOException{
        Scanner sc = new Scanner(System.in);
        BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
        int r = sc.nextInt();
        int c = sc.nextInt();
        String s1 = "",s2="",s3="#";
        for(int i=0;i<c;i++){
            s1+='#';
        }
        s1+='\n';
        for(int i=0;i<c-1;i++){
            s2+='.';
        }
        s2+="#\n";
        for(int i=1;i<c;i++){
            s3+='.';
        }
        s3+='\n';
        boolean b1=true;
        for(int fila=0;fila<r;fila++){
            if (fila%2==0){
                bw.write(s1);
            }else{
                if (b1){
                    bw.write(s2);
                }else{
                    bw.write(s3);
                }
                b1=!b1;
            }
        }
        bw.flush();
        bw.close();
    }
    
}
