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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class A {
  public static void main(String[] args) {
    Scanner s = new Scanner();

    int n = s.nextInt(), m = s.nextInt();

    boolean right = true;
    for (int i = 0; i < n; i++) {
      if (i % 2 == 0) {
        for (int j = 0; j < m; j++) {
          System.out.print("#");
        }
      } else {
        if(right) {
          for (int j = 0; j < m - 1; j++) {
            System.out.print(".");
          }
          System.out.print("#");
        } else {
          System.out.print("#");
          for (int j = 1; j < m; j++) {
            System.out.print(".");
          }
        }

        right = !right;
      }

      System.out.println();

    }
  }

  static class Scanner {
    BufferedReader bufferedReader;
    StringTokenizer stringTokenizer;

    public Scanner() {
      bufferedReader = new BufferedReader(new InputStreamReader(System.in), 1 << 10);
    }

    String next() {
      while (stringTokenizer == null || !stringTokenizer.hasMoreElements()) {
        try {
          stringTokenizer = new StringTokenizer(bufferedReader.readLine());
        } catch (IOException e) {
          e.printStackTrace();
        }
      }
      return stringTokenizer.nextToken();
    }

    int nextInt() {
      return Integer.parseInt(next());
    }

    long nextLong() {
      return Long.parseLong(next());
    }

    double nextDouble() {
      return Double.parseDouble(next());
    }

    String nextLine() {
      String str = "";
      try {
        str = bufferedReader.readLine();
      } catch (IOException e) {
        e.printStackTrace();
      }
      return str;
    }
  }
}
