#include <algorithm>
#include <iostream>
#include <vector>

#define rep(i, n) for (int i = 0; i < (n); i++)
using namespace std;

int main() {

  int n, k;
  cin >> n >> k;

  auto m = (n + k - 1) / k; // m <= n
  vector<vector<char>> a(m, vector<char>(m, '.'));
  rep(i, m) a[i][i] = '#';
  auto bk = m;
  rep(i, m) {
    rep(j, m) {
      if (a[i][j] == '#') continue;
      if (bk > n) continue;
      int r_cnt = 0;
      rep(h, m) {
        if (a[h][j] == '#') r_cnt += 1;
      }
      int c_cnt = 0;
      rep(h, m) {
        if (a[i][h] == '#') c_cnt += 1;
      }
      if (r_cnt < k and c_cnt < k) {
        a[i][j] = '#';
        bk += 1;
      }
    }
  }
  cout << m << endl;
  rep(i, m) {
    rep(j, m) { cout << a[i][j]; }
    cout << endl;
  }

  return 0;
}