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"""

A recursive implementation of the insertion sort algorithm

"""

from __future__ import annotations

def rec_insertion_sort(collection: list, n: int):

"""

Given a collection of numbers and its length, sorts the collections

in ascending order

:param collection: A mutable collection of comparable elements

:param n: The length of collections

>>> col = [1, 2, 1]

>>> rec_insertion_sort(col, len(col))

>>> col

[1, 1, 2]

>>> col = [2, 1, 0, -1, -2]

>>> rec_insertion_sort(col, len(col))

>>> col

[-2, -1, 0, 1, 2]

>>> col = [1]

>>> rec_insertion_sort(col, len(col))

>>> col

[1]

"""

# Checks if the entire collection has been sorted

if len(collection) <= 1 or n <= 1:

return

insert_next(collection, n - 1)

rec_insertion_sort(collection, n - 1)

def insert_next(collection: list, index: int):

"""

Inserts the '(index-1)th' element into place

>>> col = [3, 2, 4, 2]

>>> insert_next(col, 1)

>>> col

[2, 3, 4, 2]

>>> col = [3, 2, 3]

>>> insert_next(col, 2)

>>> col

[3, 2, 3]

>>> col = []

>>> insert_next(col, 1)

>>> col

[]

"""

# Checks order between adjacent elements

if index >= len(collection) or collection[index - 1] <= collection[index]:

return

# Swaps adjacent elements since they are not in ascending order

collection[index - 1], collection[index] = (

collection[index],

collection[index - 1],

)

insert_next(collection, index + 1)

if __name__ == "__main__":

numbers = input("Enter integers separated by spaces: ")

number_list: list[int] = [int(num) for num in numbers.split()]

rec_insertion_sort(number_list, len(number_list))

print(number_list)

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