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Added detailed docstring with type hints and examples to binary_search function. Includes doctests for validation. #14211

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[pre-commit.ci] auto fixes from pre-commit.com hooks

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Added detailed docstring with type hints and examples to binary_search function. Includes doctests for validation. #14211

[pre-commit.ci] auto fixes from pre-commit.com hooks
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succeeded Jan 25, 2026 in 8s