#ifndef RATIONAL_H
#define RATIONAL_H
#include <iostream>
#include <utility>
using namespace std::rel_ops;
class Rational{
 public:
  explicit Rational(const int& num = 0,const int& denom = 1);
  int getDenominator() const;
  int getNumerator() const;
  operator double() const {return numerator / denominator;}
  const Rational& operator+=(const Rational& rat);
  const Rational& operator+() const;
  const Rational operator+(const Rational& rat) const;
  const Rational& operator++();
  const Rational operator++(int);
  const Rational& operator-=(const Rational& rat);
  const Rational operator-() const;
  const Rational operator-(const Rational& rat) const;
  const Rational& operator--();
  const Rational operator--(int);
  const Rational& operator*=(const Rational& rat);
  const Rational operator*(const Rational& rat) const;
  const Rational& operator/=(const Rational& rat);
  const Rational operator/(const Rational& rat) const;
 private:
  int numerator, denominator;
  void reduce();
  friend bool operator==(const Rational&, const Rational&);
  friend bool operator<(const Rational&, const Rational&);
};
const Rational operator+(int lhs, const Rational& rhs);
const Rational operator+(const Rational& lhs, int rhs);
const Rational operator-(int lhs, const Rational& rhs);
const Rational operator-(const Rational& lhs, int rhs);
const Rational operator*(int lhs, const Rational& rhs);
const Rational operator*(const Rational& lhs, int rhs);
const Rational operator/(int lhs, const Rational& rhs);
const Rational operator/(const Rational& lhs, int rhs);
bool operator==(const Rational& lhs, const Rational& rhs);
bool operator<(const Rational& lhs, const Rational& rhs);
std::ostream& operator<<(std::ostream& os, const Rational& rat);

#endif