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;
vector<string> v;
string aa, bb, cc;
int main(void) {
  int i, j, tem, var, a, b, c, n, m;
  scanf("%d %d", &n, &m);
  aa = "";
  for (i = 1; i <= n; i++) {
    if ((i % 2) == 1) {
      aa.clear();
      aa = "";
      for (int kk = 0; kk < m; kk++) {
        aa += "#";
      }
      v.push_back(aa);
      ;
      aa.clear();
      aa = "";
    } else if ((i % 2) == 0 && (i % 4) != 0) {
      aa.clear();
      aa = "";
      for (int kk = 0; kk < m - 1; kk++) {
        aa += ".";
      }
      aa += "#";
      v.push_back(aa);
      ;
      aa.clear();
      aa = "";
    } else if ((i % 2) == 0 && (i % 4) == 0) {
      aa.clear();
      aa = "";
      aa = "#";
      for (int kk = 1; kk < m; kk++) {
        aa += ".";
      }
      v.push_back(aa);
      ;
      aa.clear();
      aa = "";
    }
  }
  for (i = 0; i < (int)v.size(); i++) {
    cout << v[i] << endl;
  }
  return 0;
}
