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;
void solve() {
  long long a, b;
  cin >> a >> b;
  vector<string> A;
  for (long long i = 0; i < a; i++) {
    string res = "";
    for (long long j = 0; j < b; j++) {
      if (i % 4 == 0 || i % 4 == 2) {
        res += '#';
      } else if (i % 4 == 1 || i % 4 == 3) {
        res += '.';
      }
    }
    if (i % 4 == 1)
      res[res.length() - 1] = '#';
    else if (i % 4 == 3)
      res[0] = '#';
    A.push_back(res);
  }
  for (auto i : A) {
    cout << i << "\n";
  }
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  long long tt(1);
  while (tt--) {
    solve();
  }
}
