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 MyClass {
    public static void main(String args[]) {
      Scanner sc = new Scanner(System.in);
      int r = sc.nextInt();
      int c = sc.nextInt();
      int k = 1;
      for(int i = 0; i < r; i++) {
          if(i % 2 == 0) {
              for(int j = 0; j < c; j++) {
                  System.out.print("#");
              } System.out.println();
          } else {
              if(k % 2 == 0) {
                  k++;
                  System.out.print("#");
                  for(int j = 1; j < c; j++) {
                    System.out.print(".");
                  }                   
                  System.out.println();

              } else {
                  k++;
                  for(int j = 0; j < c - 1; j++) {
                    System.out.print(".");
                  } System.out.print("#");
                  System.out.println();
              }
          }
      }
    }
}