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docs: explain Strassen's algorithm complexity in docstrings#14925

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docs: explain Strassen's algorithm complexity in docstrings#14925
alisatwat3 wants to merge 2 commits into
TheAlgorithms:masterfrom
alisatwat3:docs/strassen-complexity-docstring

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Expand actual_strassen() docstring to describe the divide-and-conquer approach (7 recursive multiplications instead of 8) and note time complexity O(n^log2(7)) ~= O(n^2.807) vs O(n^3) for naive matrix multiplication, plus space complexity O(n^2). Also expand strassen() docstring to explain the padding/trimming wrapper logic. No behavior changes; all existing doctests pass.

Describe your change:

  • 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 #14084.

Expand actual_strassen() docstring to describe the divide-and-conquer
approach (7 recursive multiplications instead of 8) and note time
complexity O(n^log2(7)) ~= O(n^2.807) vs O(n^3) for naive matrix
multiplication, plus space complexity O(n^2). Also expand strassen()
docstring to explain the padding/trimming wrapper logic. No behavior
changes; all existing doctests pass.
@algorithms-keeper algorithms-keeper Bot added enhancement This PR modified some existing files awaiting reviews This PR is ready to be reviewed labels Jul 12, 2026
@algorithms-keeper algorithms-keeper Bot added tests are failing Do not merge until tests pass and removed tests are failing Do not merge until tests pass labels Jul 12, 2026
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adding better docstring explaining Strassen’s complexity:

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