Quick sort algorithm

def QuickSortAlgorithm(arr: list) -> list:
    """
        [ name ] => Quick Sort
        [ type ] => Sorting algorithms
        [ time complexity ] => (
            1. best case:  O(n log n)
            2. average case: O(n log n)
            3. worst case: O(n^2) { when the pivot is the (min or max) value of the giving list, or the list is already sorted }
        )
        [ space complexity ] => O(log n)
        [params] => (
            arr {list} list to sort
        )
        [return] => {list} sorted list 
    """
    # size of array
    n = len(arr)
    if n <= 1:
        return arr
    # pivote = arr[mid] 
    pivot = arr[n // 2]
    smallerThanPivot = []
    greaterThanPivot = []
    for i in range(len(arr)):
        # do not append pivot to (greaterThanPivot) => continue
        if arr[i] == pivot:
            continue
        # if the element is greater than or equal pivot
        if arr[i] >= pivot:
            # append the element that is greater than pivot to greaterThanPivot array
            greaterThanPivot.append(arr[i])
        else:
            # if the element is smaller than pivot append it to smallerThanPivot
            smallerThanPivot.append(arr[i])

    return QuickSortAlgorithm(smallerThanPivot) + [pivot] + QuickSortAlgorithm(greaterThanPivot)