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;
long long n, m, k, c, ans, x, y, z, a[300001], b[300001], d[300001];
string second, t, S[100001];
pair<long long, long long> A[100001];
char ch[1001][1001];
int main() {
  cin >> n >> m;
  for (int i = 1; i <= n; i++)
    for (int j = 1; j <= m; j++) ch[i][j] = '.';
  for (int i = 1; i <= n; i += 2)
    for (int j = 1; j <= m; j++) ch[i][j] = '#';
  for (int i = 2; i <= n; i += 2)
    if (i % 4 == 0)
      ch[i][1] = '#';
    else
      ch[i][m] = '#';
  for (int i = 1; i <= n; i++) {
    for (int j = 1; j <= m; j++) cout << ch[i][j];
    cout << endl;
  }
  return 0;
}
