#ifndef POINT
#define POINT

class Vector {
public:
  int x_;
  int y_;
  explicit Vector(int x, int y) : x_{x}, y_{y} {};
  Vector() = default;
};

Vector operator*(Vector lhs, const int rhs) {
  return Vector{lhs.x_ * rhs, lhs.y_ * rhs};
}

Vector operator*(int lhs, const Vector rhs) {
  return Vector{rhs.x_ * lhs, rhs.y_ * lhs};
}

Vector operator+(Vector lhs, const Vector &rhs) {
  return Vector{lhs.x_ + rhs.x_, lhs.y_ + rhs.y_};
}

Vector operator-(Vector lhs, const Vector &rhs) { return lhs + -1 * rhs; }




class Point {
public:
  int x;
  int y;

  Point(int xx, int yy) : x{xx}, y{yy} {};
};

Point operator+(Vector lhs, Point rhs) {
  return Point{rhs.x + lhs.x_, rhs.x + lhs.x_};
}

Point operator+(Point lhs, Vector rhs) {
  return Point{rhs.x_ + lhs.x, rhs.x_ + lhs.x};
}

Point operator-(Vector lhs, Point rhs) {
  return Point{rhs.x - lhs.x_, rhs.x - lhs.x_};
}

Point operator-(Point lhs, Vector rhs) {
  return Point{rhs.x_ - lhs.x, rhs.x_ - lhs.x};
}

Vector operator-(Point lhs, Point rhs){
  return Vector{lhs.x - rhs.x, lhs.y - rhs.y};
}

#endif /* GENERATOR_H */