What is Segment Tree?
Segment Tree is a data structure that stores data about range of elements in nodes as a tree. It is mostly used to handle range queries with updates in an efficient manner. For example, we can perform a range summation of an array between the range L to R while also modifying the array from range L to R all in log(N) time complexity.
Segment Tree
Segment Tree is a versatile data structure used in computer science and data structures that allows efficient querying and updating of intervals or segments of an array. It is particularly useful for problems involving range queries, such as finding the sum, minimum, maximum, or any other operation over a specific range of elements in an array. The tree is built recursively by dividing the array into segments until each segment represents a single element. This structure enables fast query and update operations with a time complexity of O(log n), making it a powerful tool in algorithm design and optimization.
Table of Content
- What is Segment Tree?
- Applications of Segment Tree
- Basics of Segment Tree
- Lazy Propagation
- Range Queries
- Some interesting problem on Segment Tree