from typing import Any def double_sort(collection: list[Any]) -> list[Any]: """This sorting algorithm sorts an array using the principle of bubble sort, but does it both from left to right and right to left. Hence, it's called "Double sort" :param collection: mutable ordered sequence of elements :return: the same collection in ascending order Examples: >>> double_sort([-1 ,-2 ,-3 ,-4 ,-5 ,-6 ,-7]) [-7, -6, -5, -4, -3, -2, -1] >>> double_sort([]) [] >>> double_sort([-1 ,-2 ,-3 ,-4 ,-5 ,-6]) [-6, -5, -4, -3, -2, -1] >>> double_sort([-3, 10, 16, -42, 29]) == sorted([-3, 10, 16, -42, 29]) True """ no_of_elements = len(collection) for _ in range( int(((no_of_elements - 1) / 2) + 1) ): # we don't need to traverse to end of list as for j in range(no_of_elements - 1): # apply the bubble sort algorithm from left to right (or forwards) if collection[j + 1] < collection[j]: collection[j], collection[j + 1] = collection[j + 1], collection[j] # apply the bubble sort algorithm from right to left (or backwards) if collection[no_of_elements - 1 - j] < collection[no_of_elements - 2 - j]: ( collection[no_of_elements - 1 - j], collection[no_of_elements - 2 - j], ) = ( collection[no_of_elements - 2 - j], collection[no_of_elements - 1 - j], ) return collection if __name__ == "__main__": # allow the user to input the elements of the list on one line unsorted = [int(x) for x in input("Enter the list to be sorted: ").split() if x] print("the sorted list is") print(f"{double_sort(unsorted) = }")