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Add Splay Tree implementation
Describe your change:
This PR adds a complete implementation of a Splay Tree - a self-adjusting binary search tree that provides excellent amortized performance and cache locality.
Key Features:
- Self-adjusting binary search tree with splaying operations
- Implements all standard BST operations (insert, delete, search, min, max)
- Includes zig, zig-zig, and zig-zag rotation operations
- Amortized O(log n) time complexity for all operations
- Comprehensive doctests with 81 passing tests
- Performance demonstration showing locality of reference
- Includes tree visualization and traversal methods
Why Splay Tree?
- Simpler implementation than AVL or Red-Black trees (no balance factors or colors)
- Excellent cache performance - frequently accessed elements stay near root
- Self-optimizing based on access patterns
- Educational value for understanding self-balancing trees
Implementation Details:
- Located in
data_structures/binary_tree/splay_tree.py - Full type hints throughout
- Detailed docstrings with examples
- Handles edge cases (empty tree, duplicates, single node)
- Supports any comparable data type (int, string, etc.)
Fixes #13760
- [x] Add an algorithm?
- [ ] Fix a bug or typo in an existing algorithm?
- [ ] Add or change doctests?
- [ ] Documentation change?
Checklist:
- [x] I have read CONTRIBUTING.md.
- [x] This pull request is all my own work -- I have not plagiarized.
- [x] I know that pull requests will not be merged if they fail the automated tests.
- [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
- [x] All new Python files are placed inside an existing directory.
- [x] All filenames are in all lowercase characters with no spaces or dashes.
- [x] All functions and variable names follow Python naming conventions.
- [x] All function parameters and return values are annotated with Python type hints.
- [x] All functions have doctests that pass the automated testing.
- [x] All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
- [x] If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #13760".
@darkstar please check the PR and merge this under hacktober fest label