template <class T1, class T2, class T3>
class trio {
public:
  T1 first;
  T2 second;
  T3 third;
  trio(T1 first, T2 second, T3 third) : trio::first(first), trio::second(second), trio::third(third) {}
  trio() {}
  trio(const trio &a) : first(a.first), second(a.second), third(a.third) {}
  void swap(trio &a) {
    std::swap(first, a.first);
    std::swap(second, a.second);
    std::swap(third, a.third);
  }
  void operator= (const trio a) {
    first = a.first;
    second = a.second;
    third = a.third;
  }
  bool operator== (const trio b) {
    return (first == b.first && second == b.second && third == b.third);
  }
  bool operator!= (const trio b) {
    return (first != b.first || second != b.second || third != b.third);
  }
  bool operator< (const trio a) {
    if(first==a.first) {
      if(second==a.second)
    return (third<a.third);
      return (second<a.second);
    }
    return (first<a.first);
  }
  bool operator> (const trio a) {
    if(first==a.first) {
      if(second==a.second)
    return (third>a.third);
      return (second>a.second);
    }
    return (first>a.first);
  }
  bool operator<= (const trio a) {
    return (trio<T1, T2, T3> (first, second, third)<a || trio<T1, T2, T3> (first, second, third)==a);
  }
  bool operator>= (const trio a) {
    return (trio<T1, T2, T3> (first, second, third)>a || trio<T1, T2, T3> (first, second, third)==a);
  }
};

template <class T1, class T2, class T3>
trio<T1, T2, T3> make_trio(T1 first, T2 second, T3 third) {
  return trio<T1, T2, T3> (first, second, third);
}