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 Main{
    public static void main(String[]args){
        Scanner sc=new Scanner(System.in);
        int n=sc.nextInt();
        int m=sc.nextInt();
        int width=n;
        boolean flag=true;
        if(m>n){width=m;}
        Character [][]arr=new Character[n][width];
        for(int i=0;i<n;i++){
            if(i%2==0){
            for(int j=0;j<m;j++){
                arr[i][j]='#';
            }
            }else if(i%2==1){
            for(int k=0;k<m;k++){
                if(flag==true){
                if(k<m-1){arr[i][k]='.';}
                else{flag=false;
                    arr[i][k]='#';}
                }else{
                  if(k>0){arr[i][k]='.';}
                 else{
                    arr[i][k]='#';} 
                if(k==m-1){flag=true;}
                }
            }
                
            }
        
            
        }
        for(int ip=0;ip<n;ip++){
            for(int jp=0;jp<m;jp++){
                System.out.print(arr[ip][jp]);
            }System.out.println();
        }
        
    }
}