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.io.*;
public final class hello {
    public static void main(String args[])throws IOException {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        
        String a[]=new String[2];
        a=br.readLine().split(" ");
        
        int n=Integer.parseInt(a[0]);
        int m=Integer.parseInt(a[1]);
        int c=0;
        
        while(c<n) {
            
            for(int j=0;j<m;j++) {
                System.out.print("#");
             }
             c++;
             
            System.out.println();
        
            if((c-1)%4==0 && c<n) {
                for(int k=0;k<m-1;k++) {
                       System.out.print(".");
                }
            
            
                System.out.print("#");
                System.out.println();
                c++;
            }
            else if((c-1)%4==2 && c<n) {
                System.out.print("#");
                for(int k=0;k<m-1;k++) {
                       System.out.print(".");
                }
                
                System.out.println();
                c++;                
            }
        }
        
    }
}