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#define loop(i,from,to) for (int i = from; i < to; ++i)
#include <bits/stdc++.h>

using std::cin;
using std::cout;
using std::endl;
using std::vector;
using std::string;
using std::pair;
using std::set;

const int INF = 1e9+7;
const double eps = 1e-6;

long long S(int a, int b, int c) {
  long long p = a + b + c;
  return 1LL * p * (p - 2 * a) * (p - 2 * b) * (p - 2 * c);
}

bool check(int a, int b, int c) {
  return a + b > c && a + c > b && b + c > a;
}

signed main() {
  std::ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie();
  int n, T; cin >> n;
  vector<int> data;
  loop(i, 0, n) {
    cin >> T;
    data.emplace_back(T);
  }
  if (n < 3) cout << -1;
  else {
    long long mx = -INF;
    int x, y, z;
    bool f = false;
    loop(i, 0, n - 2)
      loop(j, i + 1, n - 1)
        loop(k, j + 1, n)
          if (check(data[i], data[j], data[k]) && mx < S(data[i], data[j], data[k])) {
            mx = S(data[i], data[j], data[k]);
            x = i + 1;
            y = j + 1;
            z = k + 1;
            f = true;
          }
    if (!f) cout << -1;
    else {
      cout << std::fixed << std::setprecision(6) << sqrt((long double) mx) / 4;
      cout << endl << x << " " << y << " " << z;
    }
  }
  //std::cout << "Hello World!\n";
  return 0;
}