Introduction

Greetings, aspiring coders! Today, we're going to delve deeply into the complexities of data structures, specifically the RBTree, and explore how to handle queries efficiently. This is a common problem often encountered in numerous data science and algorithmic problems. So let's gear up to unravel the mysteries of RBTree operations and get our hands dirty with some interactive problem solving!

RBTree Operations and Time Complexity

Before delving into the task, let's understand what an RBTree is and why we would use it. An RBTree (Red-Black Tree) is a balanced binary search tree, and it ensures that the tree remains balanced, with operations that are efficient for insertion, deletion, and lookups.

The advantages of using RBTree include the following:

  1. Extracting minimum or maximum values is efficient using tree traversal.
  2. Maintaining sorted order after every insertion or deletion, similar to a SortedSet, but typically offering better performance for lookups and modifications since it's inherently balanced.

Understanding these operations can help us utilize RBTree efficiently for our problem.

Inserting and Finding Elements

Ruby's RBTree provides methods to handle elements efficiently. For example, locating the insertion point or finding bounds can be efficiently managed using the tree's structure.

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