Querying On Segment Tree
The below table lists the query type and its time complexity for a segment tree:
Query Type |
Description |
Time Complexity |
---|---|---|
Construction |
Build a segment tree from an input array of Size n. |
O(n) |
Point Update |
Update the value of an element at a specific index. |
O(log n) – Height of the segment tree. |
Range Query |
Retrieve information about a specific range in the array (e.g., sum, min, max). |
O(log n) – Height of the segment tree. |
Range Update |
Update all elements in a specific range of the array. |
O(log n) – Height of the segment tree. |
Optimize range updates by deferring updates until necessary. |
O(log n) for query, O(log n) for update. |
Segment Trees for Competitive Programming
Segment Tree is one of the most important data structures used for solving problems based on range queries and updates. Problems based on Segment Trees are very common in Programming Contests. This article covers all the necessary concepts required to have a clear understanding of Segment Trees.
Table of Content
- What is a Segment Tree?
- Structure of the Segment Tree
- Construction Of Segment Tree
- What is Dynamic Segment Tree?
- Querying On Segment Tree
- Applications of Segment Trees in Competitive Programming
- Interval Intersection and Union
- Advanced Topics and Variations for Segment Tree
- Alternative Data Structures for Segment Tree
- Practice Problems on Segment Tree