📌 Question 1: Infinite Rotation

Problem Description:

Determine whether multiple points moving in 2D space will eventually meet at a single location.

Each point moves at a constant speed. The iᵗʰ point always moves in the direction of the (i+1)ᵗʰ point, and the last point moves toward the first point. As points move, their direction continuously adjusts to keep following their target point.

Example:

locations = [[0, 0], [1, 0], [1, 1], [0, 1]]

Each point starts moving toward the next point in the circular array:

• Point at [0, 0] moves toward Point at [1, 0]
• Point at [1, 0] moves toward Point at [1, 1]
• Point at [1, 1] moves toward Point at [0, 1]
• Point at [0, 1] moves toward Point at [0, 0]

As the points move, their paths follow curves because their targets are also moving. The points will eventually meet at [1, 1], so return True.

Function Description:

Complete the function canMeet in the editor with the following parameters:

canMeet(locations:List[List[int]]) -> bool

• locations: 2D list of coordinates representing the positions of points.

Returns:

• boolean: True if all points will meet, or False if they do not meet.

Constraints:

• Coordinates are given in order.

Sample Input Format for Custom Testing:

1               # number of queries
4               # locations size = n = 4
1 1
-1 1
-1 -1
1 -1            # locations = [[1,1], [-1,1], [-1,-1], [1,-1]]

Sample Output:

[True]

Explanation:
All the points meet at 0, 0.

📌 Question 2: Python: Book Popularity Tracker

Problem Description:

Implement a Python application for managing a bookstore’s inventory. The application should allow adding books, finding highest-rated books, and recommending books by genre.

There are two classes:

1. Book class with attributes:
   • title (string): the book’s title
   • genre (string): the book’s genre
   • rating (float): the customer rating
2. LibraryManagement class with methods:
   • add_book(Book book): adds a new book to the inventory
   • get_highest_rated_books(int x): returns the x highest-rated books, sorted by rating (descending) and title (descending) for ties.
   • recommend_top_book_by_genre(string genre): returns the highest-rated book in the specified genre, or None if no books exist in that genre.

Constraints:

• The number of recommended books is less than or equal to the number of books in the book list.

Sample Input for Custom Testing:

3
Python Programming,Programming,4.5
Data Science Essentials,Data Science,3.1
C++ Programming,Programming,4.3
1
Programming

Sample Output:

Highest Rated Book: Python Programming, Rating: 4.5
Top Recommended Book in Programming Genre: Python Programming, Rating: 4.5

Explanation:
Here the number of recommended books is 1. The specified genre is “Programming”.

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