mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 17:20:16 +00:00
4b79d771cd
* Add more ruff rules * Add more ruff rules * pre-commit: Update ruff v0.0.269 -> v0.0.270 * Apply suggestions from code review * Fix doctest * Fix doctest (ignore whitespace) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com> Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
64 lines
1.8 KiB
Python
64 lines
1.8 KiB
Python
"""
|
|
== Juggler Sequence ==
|
|
Juggler sequence start with any positive integer n. The next term is
|
|
obtained as follows:
|
|
If n term is even, the next term is floor value of square root of n .
|
|
If n is odd, the next term is floor value of 3 time the square root of n.
|
|
|
|
https://en.wikipedia.org/wiki/Juggler_sequence
|
|
"""
|
|
|
|
# Author : Akshay Dubey (https://github.com/itsAkshayDubey)
|
|
import math
|
|
|
|
|
|
def juggler_sequence(number: int) -> list[int]:
|
|
"""
|
|
>>> juggler_sequence(0)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input value of [number=0] must be a positive integer
|
|
>>> juggler_sequence(1)
|
|
[1]
|
|
>>> juggler_sequence(2)
|
|
[2, 1]
|
|
>>> juggler_sequence(3)
|
|
[3, 5, 11, 36, 6, 2, 1]
|
|
>>> juggler_sequence(5)
|
|
[5, 11, 36, 6, 2, 1]
|
|
>>> juggler_sequence(10)
|
|
[10, 3, 5, 11, 36, 6, 2, 1]
|
|
>>> juggler_sequence(25)
|
|
[25, 125, 1397, 52214, 228, 15, 58, 7, 18, 4, 2, 1]
|
|
>>> juggler_sequence(6.0)
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input value of [number=6.0] must be an integer
|
|
>>> juggler_sequence(-1)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Input value of [number=-1] must be a positive integer
|
|
"""
|
|
if not isinstance(number, int):
|
|
msg = f"Input value of [number={number}] must be an integer"
|
|
raise TypeError(msg)
|
|
if number < 1:
|
|
msg = f"Input value of [number={number}] must be a positive integer"
|
|
raise ValueError(msg)
|
|
sequence = [number]
|
|
while number != 1:
|
|
if number % 2 == 0:
|
|
number = math.floor(math.sqrt(number))
|
|
else:
|
|
number = math.floor(
|
|
math.sqrt(number) * math.sqrt(number) * math.sqrt(number)
|
|
)
|
|
sequence.append(number)
|
|
return sequence
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|