""" 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)