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>
using namespace std;
const int N = 55;
char str[N][N];
int main() {
  int n, i, j, x, y, k, t, m;
  while (~scanf("%d%d", &n, &m)) {
    memset(str, 0, sizeof str);
    for (i = 0; i < n; i++)
      for (j = 0; j < m; j++) str[i][j] = '.';
    for (i = 0; i < n; i++) {
      if ((i & 1)) {
        if (i % 4 == 1)
          str[i][m - 1] = '#';
        else if (i % 4 == 3)
          str[i][0] = '#';
      } else
        for (j = 0; j < m; j++) str[i][j] = '#';
    }
    for (i = 0; i < n; i++) printf("%s\n", str[i]);
  }
  return 0;
}
