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trees
AVL Tree
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. When this balance condition is violated after an insertion or deletion, the tree performs rotations to restore balance. This guarantees O(log n) time for search, insert, and delete operations in all cases.
Use Cases
- •Database indexing where consistent lookup time is critical
- •In-memory dictionaries with frequent lookups
- •Applications requiring guaranteed worst-case O(log n) operations
Complexity Analysis
| Metric | Best | Average | Worst |
|---|---|---|---|
| Time | O(log n) | O(log n) | O(log n) |
| Space | O(n) | ||
Visualization
Implementation
Output
Click "Run Code" to see output...