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 X {
  public static void main(String... args){
    Scanner sc = new Scanner(System.in);
    int n=sc.nextInt();
    int m=sc.nextInt();
    StringBuilder sb = new StringBuilder();
    for (int i=0; i<n; i++){
      for (int j=0; j<m; j++){
         if (i%2==0) {
           sb.append('#');
         } else if (i%4==1 && j==m-1){
           sb.append('#');
         } else if (i%4==3 && j==0){
           sb.append('#');
         } else {
           sb.append('.');
         }
      }
      sb.append(System.getProperty("line.separator"));
    }
    System.out.println(sb);
  }
} 