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* ci(pre-commit): Add ``flake8-builtins`` additional dependency to ``pre-commit`` (#7104) * refactor: Fix ``flake8-builtins`` (#7104) * fix(lru_cache): Fix naming conventions in docstrings (#7104) * ci(pre-commit): Order additional dependencies alphabetically (#7104) * fix(lfu_cache): Correct function name in docstring (#7104) * Update strings/snake_case_to_camel_pascal_case.py Co-authored-by: Christian Clauss <cclauss@me.com> * Update data_structures/stacks/next_greater_element.py Co-authored-by: Christian Clauss <cclauss@me.com> * Update digital_image_processing/index_calculation.py Co-authored-by: Christian Clauss <cclauss@me.com> * Update graphs/prim.py Co-authored-by: Christian Clauss <cclauss@me.com> * Update hashes/djb2.py Co-authored-by: Christian Clauss <cclauss@me.com> * refactor: Rename `_builtin` to `builtin_` ( #7104) * fix: Rename all instances (#7104) * refactor: Update variable names (#7104) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * ci: Create ``tox.ini`` and ignore ``A003`` (#7123) * revert: Remove function name changes (#7104) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Rename tox.ini to .flake8 * Update data_structures/heap/heap.py Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com> * refactor: Rename `next_` to `next_item` (#7104) * ci(pre-commit): Add `flake8` plugin `flake8-bugbear` (#7127) * refactor: Follow `flake8-bugbear` plugin (#7127) * fix: Correct `knapsack` code (#7127) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com>
67 lines
1.8 KiB
Python
67 lines
1.8 KiB
Python
"""
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https://en.wikipedia.org/wiki/Lucas_number
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"""
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def recursive_lucas_number(n_th_number: int) -> int:
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"""
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Returns the nth lucas number
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>>> recursive_lucas_number(1)
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1
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>>> recursive_lucas_number(20)
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15127
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>>> recursive_lucas_number(0)
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2
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>>> recursive_lucas_number(25)
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167761
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>>> recursive_lucas_number(-1.5)
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Traceback (most recent call last):
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...
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TypeError: recursive_lucas_number accepts only integer arguments.
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"""
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if not isinstance(n_th_number, int):
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raise TypeError("recursive_lucas_number accepts only integer arguments.")
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if n_th_number == 0:
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return 2
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if n_th_number == 1:
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return 1
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return recursive_lucas_number(n_th_number - 1) + recursive_lucas_number(
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n_th_number - 2
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)
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def dynamic_lucas_number(n_th_number: int) -> int:
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"""
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Returns the nth lucas number
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>>> dynamic_lucas_number(1)
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1
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>>> dynamic_lucas_number(20)
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15127
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>>> dynamic_lucas_number(0)
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2
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>>> dynamic_lucas_number(25)
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167761
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>>> dynamic_lucas_number(-1.5)
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Traceback (most recent call last):
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...
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TypeError: dynamic_lucas_number accepts only integer arguments.
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"""
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if not isinstance(n_th_number, int):
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raise TypeError("dynamic_lucas_number accepts only integer arguments.")
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a, b = 2, 1
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for _ in range(n_th_number):
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a, b = b, a + b
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return a
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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n = int(input("Enter the number of terms in lucas series:\n").strip())
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print("Using recursive function to calculate lucas series:")
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print(" ".join(str(recursive_lucas_number(i)) for i in range(n)))
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print("\nUsing dynamic function to calculate lucas series:")
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print(" ".join(str(dynamic_lucas_number(i)) for i in range(n)))
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