# AVL

This page provides links to solutions that use the AVL.

## Overview

An AVL tree is a self-balancing binary search tree. It was one of the first data structures designed to maintain balance in a binary search tree, ensuring that the height difference between the left and right subtrees of any node is limited to at most one.

This balancing property helps maintain efficient search, insertion, and deletion operations, as the worst-case height of the tree remains $\text{O(log n)}$.

AVL trees require more rotations compared to other self-balancing trees like Red-Black trees. This can make AVL trees slightly slower in practice, especially when performing a lot of insertions and deletions.

## How to Build AVL Tree

Before we start building the AVL, we have to understand AVL rotations. Let's say we have tree as below:

## How to Spot These Problems

You can identify prefix array problems if the problem requires you to:

- Answering queries about a specific range of the array.