C++ code

Create a menu program, which includes a RecursionEngine class, allowing the user to generate output based upon a group of recursive algorithms, 8 of which I will specify, and two additional algorithms for you to devise on your own. Coding Requirements: 1. Create your RecursionEngine class to contain the 8 methods to generate output based upon the algorithms listed below 2. Create functions in your "container" class, which will serve as an engine to generate the menu, generate output for each algorithm as you choose. You may use various report formats with heading(s)/footer(s) if needed. 3. In main(), invoke the menu when the program starts and run each menu item, showing your output for each function. 4. The interactive menu will invoke functions to perform the following options. The menu should have validation to only accept 1..11 1. Binary to Decimal Conversion 2. Decimal to Binary Conversion 3. Decimal to Other Base 4. Factorial 5. Generate Fibonacci Numbers 6. Find Greatest Common Denominator 7. Raising a Number to a Power/Exponentiation 8. Sum Array Elements 9. Additional Algorithm 1 10. Additional Algorithm 2 11. End Program Output Requirements: - Exercise all methods in your RecursionEngine to show their results/output - Provide input to the functions as needed - Make sure the output explains what it is doing and/or asking for input values