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b93a9d8e8f
* Update lucas_series.py Added another method to calculate lucas_numbers * Fix pre-commit error * Update lucas_series.py * Update lucas_series.py * Update lucas_series.py * Update lucas_series.py
70 lines
1.8 KiB
Python
70 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):
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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 n == 1:
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return n
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if n == 0:
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return 2
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if not isinstance(n, int):
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raise TypeError("recursive_lucas_number accepts only integer arguments.")
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return recursive_lucas_number(n - 1) + recursive_lucas_number(n - 2)
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def dynamic_lucas_number(n: 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, int):
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raise TypeError("dynamic_lucas_number accepts only integer arguments.")
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if n == 0:
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return 2
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if n == 1:
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return 1
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a, b = 2, 1
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for i in range(n):
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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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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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