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.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;

public class Sol {
	

	static Scanner in=new Scanner(System.in);
    public static void main(String[] args) {
    	int n=in.nextInt();
    	int m=in.nextInt();
    	char [][] arr=new char[n][m];
    	int [] check=new int[n+1];
    	Arrays.fill(check, 0);
    	int it1=1;
    	int it2=3;
    	while(it1<=n){
    		check[it1]=1;
    		
    		it1+= 4;
    		
    	}
    	while(it2<=n){
    		check[it2]=3;
    		
    		it2+= 4;
    		
    	}
    	
    	for(int i=0;i<n;i++){
    		
    		for(int j=0;j<m;j++){
    			if(i%2==0){
    				arr[i][j]='#';
    			}
    			else{
    				if(check[i]==1){
    					
    					if(j==m-1){
    						arr[i][j]='#';
    					}
    					else{
    						arr[i][j]='.';
    					}
    				}
    				if(check[i]==3){
    					if(j==0){
    						arr[i][j]='#';
    					}
    					else{
    						arr[i][j]='.';
    					}
    				}
    				
    			}
    			
    		}
    		
    	}
    	for(int i=0;i<n;i++){
    		for(int j=0;j<m;j++){
    			System.out.print(arr[i][j]);
    		}
    		System.out.println("");
    	}
    	
}
}