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Add Splay Tree implementation to binary tree data structures #12890

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Describe your change:

This PR adds a comprehensive Splay Tree implementation to the binary tree data structures collection.

Features:

  • Self-balancing binary search tree with splay operations
  • O(log n) amortized time complexity for all operations
  • Generic implementation supporting any comparable type
  • Complete set of operations: insert, delete, search, find_min, find_max
  • Comprehensive error handling with proper exception raising
  • 65 passing doctests covering normal and edge cases
  • Educational implementation with detailed documentation

Algorithm Details:

  • Time Complexity: O(log n) amortized for all operations
  • Space Complexity: O(n)
  • Educational Value: Demonstrates self-adjusting trees, amortized analysis, and tree rotations
  • Source: https://en.wikipedia.org/wiki/Splay_tree

File Location: data_structures/binary_tree/splay_tree.py

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

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