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

#########
........#
#########
#........
#########
........#
#########
#........
#########
#include <bits/stdc++.h>
int main() {
  int n, m;
  scanf("%d%d", &n, &m);
  char a[n][m];
  for (int i = 0; i < n; i += 2) {
    for (int j = 0; j < m; j++) {
      a[i][j] = '#';
    }
  }
  for (int i = 1; i < n; i += 4) {
    for (int j = 0; j < m - 1; j++) {
      a[i][j] = '.';
    }
    a[i][m - 1] = '#';
  }
  for (int i = 3; i < n; i += 4) {
    a[i][0] = '#';
    for (int j = 1; j < m; j++) {
      a[i][j] = '.';
    }
  }
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      printf("%c", a[i][j]);
    }
    printf("\n");
  }
  return 0;
}
