Hello again! This lesson's topic is Binary Search Trees (BST) in TypeScript. A BST is a data structure that stores key-value pairs in an ordered manner, making data manipulation organized and efficient. TypeScript doesn't include a built-in binary search tree data structure. However, we can utilize the @datastructures-js/binary-search-tree library to manage our data in a sorted and efficient manner. Today's goal is to work with BSTs using TypeScript.

A Binary Search Tree (BST) is a node-based data structure where each node has at most two children referred to as the left child and the right child. The key in each node must be greater than (or equal to) any key stored in the left subtree, and less than (or equal to) any key stored in the right subtree. This property makes the binary search tree an efficient data structure for operations such as insertion, deletion, and searching.

Example of a Binary Search Tree

Consider the following BST:

In this tree:

• The root node is 50.
• The left subtree of 50 contains nodes 30, 20, and 40.
• The right subtree of 50 contains nodes , , and .