Homework 8 Solutions

Solution Files

You can find the solutions in hw08.py.

Required Questions


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Linked Lists

Q1: Store Digits

Write a function store_digits that takes in an integer n and returns a linked list containing the digits of n in the same order (from left to right).

Important: Do not use any string manipulation functions, such as str or reversed.

def store_digits(n):
    """Stores the digits of a positive number n in a linked list.

    >>> s = store_digits(1)
    >>> s
    Link(1)
    >>> store_digits(2345)
    Link(2, Link(3, Link(4, Link(5))))
    >>> store_digits(876)
    Link(8, Link(7, Link(6)))
    >>> store_digits(2450)
    Link(2, Link(4, Link(5, Link(0))))
    >>> store_digits(20105)
    Link(2, Link(0, Link(1, Link(0, Link(5)))))
    >>> # a check for restricted functions
    >>> import inspect, re
    >>> cleaned = re.sub(r"#.*\\n", '', re.sub(r'"{3}[\s\S]*?"{3}', '', inspect.getsource(store_digits)))
    >>> print("Do not use str or reversed!") if any([r in cleaned for r in ["str", "reversed"]]) else None
    """

    result = Link.empty
    while n > 0:
        result = Link(n % 10, result)
        n //= 10
    return result

Use Ok to test your code:

python3 ok -q store_digits

Q2: Mutable Mapping

Implement deep_map_mut(func, s), which applies the function func to each element in the linked list s. If an element is itself a linked list, recursively apply func to its elements as well.

Your implementation should mutate the original linked list. Do not create any new linked lists. The function returns None.

Hint: You can use the built-in isinstance function to determine if an element is a linked list.

>>> s = Link(1, Link(2, Link(3, Link(4))))
>>> isinstance(s, Link)
True
>>> isinstance(s, int)
False

Construct Check: The final test case for this problem checks that your function does not create any new linked lists. If you are failing this doctest, make sure that you are not creating link lists by calling the constructor, i.e.

s = Link(1)
def deep_map_mut(func, s):
    """Mutates a deep link s by replacing each item found with the
    result of calling func on the item. Does NOT create new Links (so
    no use of Link's constructor).

    Does not return the modified Link object.

    >>> link1 = Link(3, Link(Link(4), Link(5, Link(6))))
    >>> print(link1)
    <3 <4> 5 6>
    >>> # Disallow the use of making new Links before calling deep_map_mut
    >>> Link.__init__, hold = lambda *args: print("Do not create any new Links."), Link.__init__
    >>> try:
    ...     deep_map_mut(lambda x: x * x, link1)
    ... finally:
    ...     Link.__init__ = hold
    >>> print(link1)
    <9 <16> 25 36>
    """

    if s is Link.empty:
        return None
    elif isinstance(s.first, Link):
        deep_map_mut(func, s.first)
    else:
        s.first = func(s.first)
    deep_map_mut(func, s.rest)

Use Ok to test your code:

python3 ok -q deep_map_mut

Check Your Score Locally

You can locally check your score on each question of this assignment by running

python3 ok --score

This does NOT submit the assignment! When you are satisfied with your score, submit the assignment to Gradescope to receive credit for it.

Submit Assignment

Submit this assignment by uploading any files you've edited to the appropriate Gradescope assignment. Lab 00 has detailed instructions.