typedef Rational<int64_t> Real;
inline float Float(const Real & r) {return (float)r.ToDouble();}
inline double Double(const Real & r) {return r.ToDouble();}
typedef Rational<int64_t> Real;
inline float Float(const Real & r) {return (float)r.ToDouble();}
inline double Double(const Real & r) {return r.ToDouble();}