#include <bits/stdc++.h>
using namespace std;
int main() {
  int a, b;
  cin >> a >> b;
  string str = "";
  string str1 = "";
  for (int i = 0; i < b; i++) {
    str = str + "#";
  }
  for (int i = 0; i < b - 1; i++) {
    str1 = str1 + ".";
  }
  int f = 0;
  while (a--) {
    if (a % 2 == 1 && f == 1) {
      f = 0;
      cout << "#" + str1 << endl;
    } else if (a % 2 == 1 && f == 0) {
      f = 1;
      cout << str1 + "#" << endl;
    } else {
      cout << str << endl;
    }
  }
  return 0;
}

### Prompt

Please create a solution in CPP 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 a, b;
  cin >> a >> b;
  string str = "";
  string str1 = "";
  for (int i = 0; i < b; i++) {
    str = str + "#";
  }
  for (int i = 0; i < b - 1; i++) {
    str1 = str1 + ".";
  }
  int f = 0;
  while (a--) {
    if (a % 2 == 1 && f == 1) {
      f = 0;
      cout << "#" + str1 << endl;
    } else if (a % 2 == 1 && f == 0) {
      f = 1;
      cout << str1 + "#" << endl;
    } else {
      cout << str << endl;
    }
  }
  return 0;
}

```