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Implement a dynamically allocated version of the mathematical concept of a 'set'. First, examine the provided library and driver (in main) for a statically allocated Set class. You may also want to refresh your mathematical memory of the set concept before proceeding. Now that you are familiar with how the Set class works, let's make it work better. Currently the user is limited to a certain maximum number of elements in their Set. Change it so the number of elements can be set dynamically during the program's execution.

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Final answer:

The student is tasked with modifying the Set class to support dynamic allocation, allowing it to adjust its size during runtime. This involves using resizable data structures, implementing constructors and destructors for proper memory management, and updating class methods for adding and handling elements.

Step-by-step explanation:

The question is about creating a dynamically allocated version of a Set class in programming, moving away from a statically allocated data structure. To adjust the Set class to allow dynamic allocation, you would typically use data structures that can change in size during runtime, such as linked lists, dynamic arrays, or other forms of resizable containers provided by the language's standard library, like std::vector in C++.

Following object-oriented programming practices, the new Set class should include methods for adding and removing elements, checking for membership, and other set operations like union, intersection, and difference. Memory management would involve careful allocation and deallocation of resources, using constructors, destructors, and possibly copy and assignment operators in languages like C++ to handle deep copies and prevent memory leaks.

Here is a step-by-step approach:

  1. Create a new Set class definition with a pointer to the dynamic array and an integer to track the current size.
  2. Implement a constructor that initializes the dynamic array based on an initial capacity provided by the user.
  3. Add methods to add elements, which should check if there is enough space or allocate additional space if needed.
  4. Include a destructor to properly deallocate the dynamic array and thus avoid memory leaks.

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