CPKit
v1.6.1

AVL Balanced Tree

AlgorithmsHard

Insert elements in AVL trees with automatic LL, RR, LR, RL balancing rotations.

Alt+Shift+V

Configuration Panel

Tree Layout Canvas

Double-click empty canvas to create root, select node to add child or delete.

Time Complexity

O(log N) guaranteed

Auxiliary Space Complexity

O(N) storage space
Conceptual Overview

An AVL Tree is a self-balancing binary search tree where the heights of the two child subtrees of any node differ by at most one. Self-balancing rotations are performed when insertion violates this balance factor limit.

Algorithm Mechanism

Tracks heights for all nodes. When balance factor BF = height(left) - height(right) exceeds 1 or drops below -1, triggers Left/Right rotations to restore logarithmic depth bounds.

Source: CP-Algorithms reference guide