insertion sort Algorithm

Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time.
However, insertion sort provides several advantages: Simple implementation: Jon Bentley shows a three-line c version, and a five-line optimized version Efficient for (quite) small data sets, much like other quadratic sorting algorithmsAdaptive, i.e., efficient for data sets that are already substantially sorted: the time complexity is O(kn) when each component in the input is no more than K places away from its sorted position Stable; i.e., makes not change the relative order of components with equal keys
"""
This is a pure Python implementation of the insertion sort algorithm

For doctests run following command:
python -m doctest -v insertion_sort.py
or
python3 -m doctest -v insertion_sort.py

For manual testing run:
python insertion_sort.py
"""


def insertion_sort(collection):
    """Pure implementation of the insertion sort algorithm in Python

    :param collection: some mutable ordered collection with heterogeneous
    comparable items inside
    :return: the same collection ordered by ascending

    Examples:
    >>> insertion_sort([0, 5, 3, 2, 2])
    [0, 2, 2, 3, 5]

    >>> insertion_sort([])
    []

    >>> insertion_sort([-2, -5, -45])
    [-45, -5, -2]
    """

    for loop_index in range(1, len(collection)):
        insertion_index = loop_index
        while (
            insertion_index > 0
            and collection[insertion_index - 1] > collection[insertion_index]
        ):
            collection[insertion_index], collection[insertion_index - 1] = (
                collection[insertion_index - 1],
                collection[insertion_index],
            )
            insertion_index -= 1

    return collection


if __name__ == "__main__":
    user_input = input("Enter numbers separated by a comma:\n").strip()
    unsorted = [int(item) for item in user_input.split(",")]
    print(insertion_sort(unsorted))

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