Augmented Data Structures — Order Statistics & Interval Trees | Chapter 17 of Introduction to Algorithms
Augmented Data Structures — Order Statistics & Interval Trees | Chapter 17 of introduction to algorithms Augmented data structures enhance classic data structures by adding extra information, enabling more advanced operations while maintaining efficient asymptotic performance. Chapter 17 of introduction to algorithms explores how to augment red-black trees to implement order-statistic trees and interval trees , providing powerful new capabilities such as O(log n) rank and overlap queries. Watch the full chapter summary below for a detailed walkthrough of order-statistic and interval trees. Subscribe to Last Minute Lecture for more introduction to algorithms tutorials! Order Statistic Trees Order-statistic trees augment red-black trees with a size attribute at each node, representing the number of nodes in the subtree rooted at that node. This allows for efficient O(log n) queries to select the ith smallest element ( OS-SELECT ) and compute the rank of any node (...