Using C++, write a program that uses pointer variables to demonstrate shallow and deep copy. The program should give the user the choice to do the following:

1) Assign values to pointers

2) Perform shallow Copy

3) Perform deep copy

The program should display a menu allowing the user to enter pointer values by selecting option 1, then perform shallow or deep copy by selecting options 2 or 3. After which, your program needs to display the new results after the copy is performed.