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 FoxAndSnake
{
    public static void main(String args[])
    {
        Scanner sc=new Scanner(System.in);
        int n=sc.nextInt();
        int m=sc.nextInt();
        char a[][]=new char[n][m];
        int p=0,x=-1;
        for(int i=0;i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
                if(i%2==0)
                a[i][j]='#';
                else if(p==0)
                {a[i][j]='.';
                a[i][m-1]='#';x=0;}
                else
                {a[i][j]='.';
                a[i][0]='#';x=1;}
            }
            if(x==0)
            p=1;
            if(x==1)
            p=0;
        }
        for(int i=0;i<n;i++)
        {for(int j=0;j<m;j++)
        {System.out.print(a[i][j]);}
        System.out.println();}
    }
}
