def bubble_up(values: list, left: int, right: int) -> None:     """Bubble up through values[left: right+1], swapping items that are out of     order. Note that use of this slicing notation means that items     values[left], values[left + 1], values[left + 2], ..., values[right] could     be modified.     Precondition: left and right are valid indexes in values.     >>> list_example_1 = [4, 3, 2, 1, 0]     >>> bubble_up(list_example_1, 0, 3)     >>> list_example_1     [3, 2, 1, 4, 0]     >>> list_example_2 = [4, 3, 2, 1, 0]     >>> bubble_up(list_example_2, 2, 4)     >>> list_example_2     [4, 3, 1, 0, 2]     """     for i in range(left, right):         if values[i] > values[i + 1]:             temp = values[i]             values[i] = values[i + 1]             values[i + 1] = temp # Use the bubble_up function as a starting point to help you complete the # bubble_down function. def bubble_down(values: list, left: int, right: int) -> None:     """Bubble down through values[left: right+1], swapping items that are out     of order. Note that use of this slicing notation means that items     values[left], values[left + 1], values[left + 2], ..., values[right] could     be modified.     Precondition: left and right are valid indexes in values.     >>> list_example_1 = [4, 3, 2, 1, 0]     >>> bubble_down(list_example_1, 1, 3)     >>> list_example_1     [4, 1, 3, 2, 0]     >>> list_example_2 = [4, 3, 2, 1, 0]     >>> bubble_down(list_example_2, 0, 4)     >>> list_example_2     [0, 4, 3, 2, 1]     """

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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def bubble_up(values: list, left: int, right: int) -> None:
    """Bubble up through values[left: right+1], swapping items that are out of
    order. Note that use of this slicing notation means that items
    values[left], values[left + 1], values[left + 2], ..., values[right] could
    be modified.

    Precondition: left and right are valid indexes in values.

    >>> list_example_1 = [4, 3, 2, 1, 0]
    >>> bubble_up(list_example_1, 0, 3)
    >>> list_example_1
    [3, 2, 1, 4, 0]
    >>> list_example_2 = [4, 3, 2, 1, 0]
    >>> bubble_up(list_example_2, 2, 4)
    >>> list_example_2
    [4, 3, 1, 0, 2]
    """

    for i in range(left, right):
        if values[i] > values[i + 1]:
            temp = values[i]
            values[i] = values[i + 1]
            values[i + 1] = temp


# Use the bubble_up function as a starting point to help you complete the
# bubble_down function.
def bubble_down(values: list, left: int, right: int) -> None:
    """Bubble down through values[left: right+1], swapping items that are out
    of order. Note that use of this slicing notation means that items
    values[left], values[left + 1], values[left + 2], ..., values[right] could
    be modified.

    Precondition: left and right are valid indexes in values.

    >>> list_example_1 = [4, 3, 2, 1, 0]
    >>> bubble_down(list_example_1, 1, 3)
    >>> list_example_1
    [4, 1, 3, 2, 0]
    >>> list_example_2 = [4, 3, 2, 1, 0]
    >>> bubble_down(list_example_2, 0, 4)
    >>> list_example_2
    [0, 4, 3, 2, 1]
    """

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