#include <bits/stdc++.h>
using namespace std;
int main() {
  int n, m, i, j, cnt = 0;
  cin >> n >> m;
  for (i = 0; i < n; i++) {
    if (i % 2 != 0) {
      cnt++;
      for (j = 0; j < m; j++) {
        if (i % 2 != 0) {
          if (cnt % 2 != 0) {
            if (j == m - 1)
              cout << "#";
            else
              cout << ".";
          } else {
            if (j == 0)
              cout << "#";
            else
              cout << ".";
          }
        }
      }
    } else {
      for (j = 0; j < m; j++) cout << "#";
    }
    cout << endl;
  }
}

### Prompt

Generate a Cpp solution to the following problem:

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

#########
........#
#########
#........
#########
........#
#########
#........
#########

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n, m, i, j, cnt = 0;
  cin >> n >> m;
  for (i = 0; i < n; i++) {
    if (i % 2 != 0) {
      cnt++;
      for (j = 0; j < m; j++) {
        if (i % 2 != 0) {
          if (cnt % 2 != 0) {
            if (j == m - 1)
              cout << "#";
            else
              cout << ".";
          } else {
            if (j == 0)
              cout << "#";
            else
              cout << ".";
          }
        }
      }
    } else {
      for (j = 0; j < m; j++) cout << "#";
    }
    cout << endl;
  }
}

```