write a program c++

Simple Number Converter/Calculator Create a program that converts and performs operations on Arabic Numbers and Roman Numerals Your program should contain (but is not limited to) the following classes: Number – abstract base class of all the number format classes Integer – wrapper for the primitive integer RomanNumeral – class for roman numeral - All the number format classes must be instantiated with an (optional) initial value. - For Integer instances, initial value is of type int and defaults to 0; - RomanNumeral – initial value is empty string (“”) - All these classes must have the following methods and must overload the following operators: int toInteger() const; std::string toRomanNumeral() const; virtual bool parse() = 0; validation of values Operators: +, -, *, /, %, >, <, >=, <=, ==, != - Notice the abstract method parse(). Take note that it should be called on the constructor of the class. Integer* integ = new Integer(15); integ->toInteger(); // returns 15 integ->toRomanNumeral(); // returns “XV” - Allowed values are between [0, 1000]. Any operations and initializations with results beyond this range will be treated as invalid and must return -1 for toInteger() calls, and “INVALID” for toRomanNumeral() - Arithmetic operations involving INVALID numbers should result to an INVALID object. Relational operations involving INVALID numbers should return false with some exceptions when there is equality involved. - Also, you can create test cases for your program (but not part of the final checking). Good luck!