BST Operations
Binary Search Tree allows efficient search, insert, and delete operations using the BST property.
IntermediateTime: O(log n)Space: O(h)
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## How BST Operations Work
A Binary Search Tree maintains the property: for each node, all values in the left subtree are smaller, and all values in the right subtree are larger.
### Search Algorithm:
1. Compare target with current node
2. If equal, found!
3. If target < current, go left
4. If target > current, go right
5. Repeat until found or reach null
### Key Characteristics:
- **Ordered structure**: Enables efficient search
- **Average O(log n)**: Balanced tree operations
- **Worst O(n)**: Unbalanced (degenerate) tree
Time & Space Complexity
| Case | Time Complexity |
|---|---|
| Best | O(log n) |
| Average | O(log n) |
| Worst | O(n) |
| Space | O(h) |
Practice Problems
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