Write a C++ 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 C++ 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 
• -----------------------------------------------------------