Write a program that creates an integer class Vector which represents an array of N integers allocated on the heap .  The class should contain the following member data and member/friend functions: Data: Integer pointer that points where the data is stored on the heap Size of the vector (i.e. #of valid data points) Capacity of the vector (total #of data points available) Member functions Default constructor – defines size(0), capacity = size + 5 & allocates memory on heap Parametrized constructor – defines size(N), capacity = N + 5, allocates memory on heap and initializes all data to a default value X or 0 Copy constructor Destructor which removes data from heap Overloaded assignment operator=( ) Overloaded multiply operator*( ) which multiplies pairwise all the elements of two vectors; V1*V2 Overloaded scalar multiply operator*(int scalar) that multiplies all elements of a vector by scalar; V1*scalar friend function operator(int scalar, Vector &rhs); scalar*V1 Overloaded operator[K] – returns the Kth element of the vector Overloaded operator[K] – which sets the Kth element to a value X friend function ostream& operator<<(ostream &os, const Vector &rhs) – which outputs all the valid elements of the vector All constructors and destructors should print respective message: “default constructor”, “parametrized constructor”, “destructor”, “copy constructor”       Demonstrate the following items: Vector V1(8, 5), V2(8, 7), V3, V4(10, 8) Print out V1, V2, V3, V4 (nicely formatted) V3 = V1*V2; //prints the contents of V3 V3 = V1*10; //print the contents of V3 V3 = 10*V1; //prints the contents of V3 V4 = V1; V2[6] = 25; //prints the contents of V2 V3[i] = V2[i];           //for i = 0; i < N V2[8] = 44; //append the value 44 to V2 & print a  updated V2 -----------------------------------------------------------

1. Write a program that creates an integer class Vector which represents an array of N integers allocated on the heap .  The class should contain the following member data and member/friend functions:

• Data:
  • Integer pointer that points where the data is stored on the heap
  • Size of the vector (i.e. #of valid data points)
  • Capacity of the vector (total #of data points available)
• Member functions
  • Default constructor – defines size(0), capacity = size + 5 & allocates memory on heap
  • Parametrized constructor – defines size(N), capacity = N + 5, allocates memory on heap and initializes all data to a default value X or 0
  • Copy constructor
  • Destructor which removes data from heap
  • Overloaded assignment operator=( )
  • Overloaded multiply operator*( ) which multiplies pairwise all the elements of two vectors; V1*V2
  • Overloaded scalar multiply operator*(int scalar) that multiplies all elements of a vector by scalar; V1*scalar
  • friend function operator(int scalar, Vector &rhs); scalar*V1
  • Overloaded operator[K] – returns the Kth element of the vector
  • Overloaded operator[K] – which sets the Kth element to a value X
  • friend function ostream& operator<<(ostream &os, const Vector &rhs) – which outputs all the valid elements of the vector
  • All constructors and destructors should print respective message: “default constructor”, “parametrized constructor”, “destructor”, “copy constructor”

Demonstrate the following items:

• Vector V1(8, 5), V2(8, 7), V3, V4(10, 8)
• Print out V1, V2, V3, V4 (nicely formatted)
• V3 = V1*V2; //prints the contents of V3
• V3 = V1*10; //print the contents of V3
• V3 = 10*V1; //prints the contents of V3
• V4 = V1;
• V2[6] = 25; //prints the contents of V2
• V3[i] = V2[i];           //for i = 0; i < N
• V2[8] = 44; //append the value 44 to V2 & print a  updated V2
• -----------------------------------------------------------