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.util.*;
public class Solution {
        public static void main(String args[]){
            Scanner s=new Scanner(System.in);
            int n=s.nextInt();
            int m=s.nextInt();
            char[][] array=new char[n][m];
            for(int i=1;i<=n;i=i+2){
                
                for(int j=0;j<m;j++){
                    array[i-1][j]='#';
                }
                
            }
            for(int i=2;i<=n;i=i+2){
                if(i%4==0){
                    array[i-1][0]='#';
                    for(int j=1;j<m;j++){
                        array[i-1][j]='.';
                    }
                    
                }
                else if(i%2==0){
                
                    for(int j=0;j<m-1;j++){
                        array[i-1][j]='.';
                    }
                    array[i-1][m-1]='#';
                }
            }
            
            for(int x=0;x<n;x++){
                for(int y=0;y<m;y++){
                    System.out.print(array[x][y]);
                }
                System.out.println();
            }
            
        }
}