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 in(int s[100000], int n) {
  for (int i = 1; i <= n; i++) cin >> s[i];
}
void in2(int s[100000], int v[100000], int n) {
  for (int i = 1; i <= n; i++) cin >> s[i] >> v[i];
}
void Upc(string s) {
  for (int i = 0; i < s.size(); i++) {
    if (s[i] > 'Z') s[i] -= 'z' - 'Z';
  }
}
void lowc(string s) {
  for (int i = 0; i < s.size(); i++) {
    if (s[i] < 'a') s[i] += 'z' - 'Z';
  }
}
void inUp(int s[1000], int n) {
  for (int i = 0; i < n; i++) {
    for (int j = i; j && s[j] < s[j - 1]; j--) swap(s[j], s[j - 1]);
  }
}
void inLow(int s[1000], int n) {
  for (int i = 0; i < n; i++) {
    for (int j = i; j && s[j] > s[j - 1]; j--) swap(s[j], s[j - 1]);
  }
}
const int N = 1e5 + 5;
int s[N];
int main() {
  int n, m;
  cin >> n >> m;
  for (int i = 1; i < n; i++) {
    if (i % 2 == 1)
      for (int j = 1; j <= m; j++) cout << "#";
    if (i % 4 == 2) {
      for (int j = 1; j < m; j++) {
        cout << ".";
      }
      cout << "#";
    }
    if (i % 4 == 0) {
      cout << "#";
      for (int j = 1; j < m; j++) {
        cout << ".";
      }
    }
    cout << endl;
  }
  for (int i = 1; i <= m; i++) cout << "#";
}
