///////////////////////////////////////////////////////////////////
// Vector.cpp - Solution of MT#3-Q1                              //
//                                                               //
// This is a demo showing how to make the required declarations  //
// It provides no useful functionality.  Main does nothing other //
// Than create a Vector<double> object.                          //
///////////////////////////////////////////////////////////////////

template <typename T>
class Vector
{
  public:
    Vector(int n);
    Vector(const Vector<T>& v);
    ~Vector();
    Vector<T>& operator=(const Vector<T>& v);   // v1 = v2
    Vector<T>& operator*=(const T& t);          // v1 *= t
    Vector<T> operator*(const T&t);             // v1 = v2*t
    Vector<T>& operator+=(const Vector<T>& v);  // v1 += v2
    Vector<T> operator+(const Vector<T>& v);    // v1 = v2 + v3
    Vector<T>& operator-=(const Vector<T>& v);  // v1 -= v2
    Vector<T> operator-(const Vector<T>& v);    // v1 = v2 - v3
    T& operator[](int n);                       // v1[3] = t
    T operator[](int n) const;                  // t = v1[2]
  private:
    int _numElem;
    T* array;
};

//----< define global scalar mult ==> v1 = t*v2 >----------//

template<typename T>
Vector<T> operator*(const T&t, const Vector<T>& v)
{
  Vector<T> temp;
  for(int i=0; i<_numElem; ++i)
    temp[i] = t*v[i];
  return temp;
}
//----< define member functions >--------------------------//

template<typename T>
Vector<T>::Vector(int n) : array(new T[n]){}

template<typename T>
Vector<T>::~Vector() { delete [] array; }

// define rest of the member functions here

int main()
{
  Vector<double> v(10);
  // use Vector here
}