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 FoxSnake
{
    public static void main(String ar[])
    {
        Scanner ob=new Scanner(System.in);
        int r=ob.nextInt();
        int c=ob.nextInt();
        int arr[][]=new int[r][c];
        String cons="";String fir="";String las=""; int count=0;
        for(int i=0;i<c;i++) { cons=cons+"#"; }
        for(int i=1;i<=c-1;i++) { fir=fir+".";if(i==c-1) { fir=fir+"#";} }
        for(int i=1;i<=c-1;i++) { if(i==1) { las = las + "#"; }las=las+"."; }

        for(int i=0;i<r;i++)
        { 
            if(i%2==0) { System.out.println(cons); }
                else
                {
                    if(count%2==0) { System.out.println(fir);count++; }
                    else {System.out.println(las);count++;};
                }
        }
    }
}
