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.File;
import java.io.FileNotFoundException;
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashSet;
import java.util.Scanner;
import java.util.Set;
public class A510 
{
    public static void main(String[] args) throws FileNotFoundException{
    	Scanner scan  = new Scanner(System.in);
    	int n = scan.nextInt();
    	int m = scan.nextInt();
    	String body = "";
    	for(int i =0 ; i < m; i++) {
    		body += "#";
    	}
    	String left = "#";
    	for(int i =1 ; i < m; i ++ ) {
    		left +=  ".";
    	}
    	String right = "";
    	for(int i =0 ; i < m-1; i ++ ) {
    		right +=  ".";
    		
    	}
    	right += "#";
    	for(int i =0 ; i < n ; i ++) {
    		if(i % 2 == 0) {
    			System.out.println(body);
    		}else if( (i - 1)% 4 == 0 ) {
    			System.out.println(right);
    		}else {
    			System.out.println(left);
    		}
    	}

    	
    }
        
        
    
}