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.Scanner;

public class FoxOrSnake {
    private static Scanner scan;

    public static void right(int m){
        for(int k=1;k<=2;k++){
            if(k==1){
                for(int j=0;j<m;j++){
                    System.out.print("#");
                }
                System.out.println();
            }else{
                for(int j=0;j<m;j++){
                    if(j==(m-1)){
                        System.out.print("#");
                    }else{
                        System.out.print(".");
                    }
                }
                System.out.println();
            }
        }
    }

    public static void left(int m){
        for(int k=1;k<=2;k++){

            if(k==1){
                for(int j=0;j<m;j++){
                    System.out.print("#");
                }
                System.out.println();
            }else{
                for(int j=0;j<m;j++){
                    if(j==0){
                        System.out.print("#");
                    }else{
                        System.out.print(".");
                    }
                }
                System.out.println();
            }
        }
    }

    public static void main(String[] args) {
        scan = new Scanner(System.in);  
        while(scan.hasNext()){
            int x=0,y,z=0;
            int n= scan.nextInt();
            int m= scan.nextInt();
            int r=n/3;
            int p=n%3;
            if(n==3){
                loop:   for(int i=1;i<n;i++){
                    if(i==(n-1)){
                        for(int j=0;j<m;j++){
                            System.out.print("#");
                        }
                        System.out.println();
                    }else{
                        right(m);
                    }
                }
            }               
            else{
                if(((p==0)||(p==1)||(p==2) )||(n==5)){
                    loop:   for(int i=1;i<=(n/2)+1;i++){
                        if(i==(n/2)+1){
                            for(int j=0;j<m;j++){
                                System.out.print("#");
                            }
                            System.out.println();
                            break loop;
                        }else if(i%2==1){

                            right(m);
                        }else{
                            left(m);
                        }
                    }
                }
            }
        }
    }
}
