"""
A pure Python implementation of the recursive bubble sort algorithm.
"""
from typing import Protocol
class Comparable(Protocol):
def __lt__(self, other: object, /) -> bool: ...
def bubble_sort_recursive[T: Comparable](arr: list[T]) -> list[T]:
"""
Sorts a list of comparable items using the recursive Bubble Sort algorithm.
>>> bubble_sort_recursive([5, 1, 4, 2, 8])
[1, 2, 4, 5, 8]
>>> bubble_sort_recursive([])
[]
>>> bubble_sort_recursive([1])
[1]
>>> bubble_sort_recursive([3, 3, 2, 1])
[1, 2, 3, 3]
>>> bubble_sort_recursive([-1, 5, 0, -2])
[-2, -1, 0, 5]
>>> bubble_sort_recursive(["banana", "apple", "cherry"])
['apple', 'banana', 'cherry']
>>> bubble_sort_recursive([3.14, 1.5, 2.7])
[1.5, 2.7, 3.14]
>>> bubble_sort_recursive([1, "two"]) # doctest: +ELLIPSIS
Traceback (most recent call last):
...
TypeError: ...
"""
n = len(arr)
if n <= 1:
return arr
swapped = False
for i in range(n - 1):
if arr[i + 1] < arr[i]:
arr[i], arr[i + 1] = arr[i + 1], arr[i]
swapped = True
if not swapped:
return arr
return [*bubble_sort_recursive(arr[:-1]), arr[-1]]
if __name__ == "__main__":
import doctest
doctest.testmod()