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

#########
........#
#########
#........
#########
........#
#########
#........
#########
/**
  author : SanskarxRawat
  **/
    import java.util.*;
    import java.io.IOException;
    public class solution{
      public static void main(String[] args){
        Scanner in=new Scanner(System.in);
 
        int n=in.nextInt();
        int m=in.nextInt();
        int count=0;
        while(count<n){
          for(int i=0;i<m;i++){
          System.out.print("#");
          }
          count++;
          System.out.println();
        
          if((count-1)%4==0 && count<n){
            
          for(int i=0;i<m-1;i++){
          System.out.print(".");
            }
            System.out.print("#");
            System.out.println();
            count++;
          }
          else if((count-1)%4==2 && count<n){
            System.out.print("#");
            for(int i=0;i<m-1;i++){
              System.out.print(".");
              
            }
            System.out.println();
            count++;
          }
        }
        }
        }