/**
 *      Author:  Nicholas Winschel
 *      Created: 10.30.2023 13:59:23
**/

#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using db=long double;
template<class T> using V=vector<T>;
using vi = V<int>;
using vl = V<ll>;
using pi = pair<int,int>;
#define f first
#define s second
#define sz(x) (int)((x).size())
#define each(a,b) for (auto &a : b)

int main() {
  cin.tie(0)->sync_with_stdio(0); // initialize fast I/O


  int p,q; cin >> p >> q;

  int g = gcd(p,q);
  p/=g, q/=g;
  if (p == 3 && q == 4) {
    cout << R"(4 4
.###
##.#
##.#
.###)" << "\n";
    return 0;
  }
  if (p == 7 && q == 10) {
    cout << R"(4 5
.###.
##.##
##.##
.###.)" << "\n";
    return 0;
  }
  if (p == 5 && q == 7) {
    cout << R"(4 14
.###.###.#####
##.###.###...#
##.###.###...#
.###.###.#####)" << "\n";
    return 0;
  }
  if (p == 4 && q == 5) {
    cout << R"(5 5
.####
##.##
####.
#.###
###.#)" << "\n";
    return 0;
  }
  
  if (p == 7 && q == 9) {
    cout << R"(6 18
##.####.##.####.##
.####.####.##.####
###.####.####.##.#
#.####.####.####.#
#.##.####.####.###
####.##.####.####.)" << "\n";
    return 0;
  }
  for (int x = 0; x < 100; x++)
    for (int y = 0; y < 100; y++) {
      if (!x && !y) continue;
      int b = 2*x;
      int w = x + y;
      int g = gcd(b,w);
      b/=g, w/=g;
      if (b == p && b+w == q) {
        cout << "1 " << 3*x + y << "\n";
        while (x--) cout << ".##";
        while (y--) cout << ".";
        cout << "\n";
        return 0;
      }
    }
  cout << "-1 -1\n";
  return 0;
}