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 Fox_and_Snake
{
  public static void main(String[] args)
  {
    Scanner in = new Scanner(System.in);
    int n = in.nextInt();
    int m = in.nextInt();
    String full = "";
    String first = "#";
    String last = "";
    for ( int i = 0 ; i < m ; i++ )
    { 
      full += "#";
    }
    for ( int i = 1 ; i < m ; i++ )
    {
      first += ".";
    }
    for ( int i = 1 ; i < m ; i++ )
    {
      last += ".";
    }
    last += "#";
    int count = 1;
    String out = "";
    while ( count <= n )
    {
      if ( count % 4 == 1 || count % 4 == 3 )
      {
        out += full + "\n";
      }
      else if ( count % 4 == 2 )
      {
        out += last + "\n";
      }
      else if ( count % 4 == 0 )
      {
        out += first + "\n";
      }
      count++;
    }
    System.out.print(out);
    
    
  }
}