Tree Set Data Structure Visualizer
STEM Interactive Visual Learning Program at TEC-Bridge AI
STEM Interactive Visual Learning Program at TEC-Bridge AI
Tree Set is a sorted set implementation using a balanced binary search tree (Red-Black Tree).
Key Characteristics:
Binary Search Tree Property: For each node, all elements in the left subtree are smaller, and all elements in the right subtree are larger.
Self-Balancing: The tree automatically maintains balance to ensure O(log n) performance, preventing degeneration into a linked list.
| Aspect | Hash Set | Tree Set |
|---|---|---|
| Time Complexity | O(1) average | O(log n) |
| Ordering | No order | Sorted order |
| Implementation | Hash table | Binary search tree |
| Memory Usage | Lower | Higher (tree nodes) |
| Range Operations | Not supported | Efficient |
| Iteration Order | Unpredictable | Sorted |
| Best Use Case | Fast lookups | Sorted data |
| Operation | Average | Worst |
|---|---|---|
| Add | O(log n) | O(log n) |
| Contains | O(log n) | O(log n) |
| Remove | O(log n) | O(log n) |
| Traversal | O(n) | O(n) |
| Component | Space |
|---|---|
| Tree Storage | O(n) |
| Recursion Stack | O(log n) |
Choose Hash Set when:
Choose Tree Set when: