$$Design and implement a C$++$ program to manage a library catalog using STL containers and algorithms. Your program should include the following components:

Define a Book struct or class with at least the following attributes: title, author, and ISBN.

Implement a Library class that uses an appropriate STL container to store books. This class should encapsulate the management of the library catalog.

Implement the following member functions in the Library class:

addBook$()$: Add a new book to the catalog.removeBook$()$: Remove a book from the catalog using its ISBN.findBookByTitle$()$: Find and return books by their title.findBooksByAuthor$()$: Find and return all books by a specific author.displayAllBooks$()$: Display all books in the catalog.

Incorporate STL algorithms in your implementation, such as:

Sorting the books by title.Using at least one other appropriate STL algorithm for efficient management of the catalog.

Your program should be well$-$structured, with clear and concise code that demonstrates an understanding of C$++$ standard library features, including containers and algorithms $[25$ marks$]$