Instructions

Download hw03.zip. Inside the archive, you will find starter files for the questions in this homework, along with a copy of the OK autograder.

Submission: When you are done, submit with `python3 ok --submit`. You may submit more than once before the deadline; only the final submission will be scored. Check that you have successfully submitted your code on okpy.org. See this article for more instructions on okpy and submitting assignments.

Readings: This homework relies on following references:

Questions

Question 1: Nonzero

Write a function that takes in a list and returns the first nonzero entry.

``````def nonzero(lst):
""" Returns the first nonzero element of a list

>>> nonzero([1, 2, 3])
1
>>> nonzero([0, 1, 2])
1
>>> nonzero([0, 0, 0, 0, 0, 0, 5, 0, 6])
5
"""

Use OK to test your code:

``python3 ok -q nonzero``

Question 2: Contains N

Write a function that takes in a list and a number, and returns whether or not the list contains the value n.

``````def has_n(lst, n):
""" Returns whether or not a list contains the value n.

>>> has_n([1, 2, 2], 2)
True
>>> has_n([0, 1, 2], 3)
False
>>> has_n([], 5)
False
"""

Use OK to test your code:

``python3 ok -q has_n``

Question 3: Deep List

Implement the function `deep_list`, which takes in a list, and returns a new list which contains only elements of the original list that are also lists. Use a list comprehension.

``````def deep_list(seq):
"""Returns a new list containing elements of the original list that are lists.

>>> seq = [49, 8, 2, 1, 102]
>>> deep_list(seq)
[]
>>> seq = [[500], [30, 25, 24], 8, [0]]
>>> deep_list(seq)
[[500], [30, 25, 24], [0]]
>>> seq = ["hello", [12, [25], 24], 8, [0]]
>>> deep_list(seq)
[[12, [25], 24], [0]]
"""
``````

Use OK to test your code:

``python3 ok -q deep_list``

Question 4: Total Price

Implement the function `total_price`, which takes in a list of prices of individual products and needs to find the total price. Unfortunately, any product that is priced greater than or equal to \$20 has a 50 percent tax, so include that in the final price.

Try to do this in one line!

Cast your final answer to an integer to avoid floating point precision errors. For example, if `x` contains your final answer, `return int(x)`!

``````def total_price(prices):
"""
50% tax on products with a price greater than or equal to 20.
>>> total_price([5, 20, 30, 7])
87
>>> total_price([8, 4, 3])
15
>>> total_price([10, 100, 4])
164
"""

Use OK to test your code:

``python3 ok -q total_price``

Question 5: arange

Implement the function `arange`, which behaves just like np.arange(start, end, step) from Data 8. You only need to support positive values for step.

``````def arange(start, end, step=1):
"""
arange behaves just like np.arange(start, end, step).
You only need to support positive values for step.

>>> arange(1, 3)
[1, 2]
>>> arange(0, 25, 2)
[0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24]
>>> arange(999, 1231, 34)
[999, 1033, 1067, 1101, 1135, 1169, 1203]

"""
``````

Use OK to test your code:

``python3 ok -q arange``

Question 6: Shopping - Tax

Let's write a function that transforms a `shopping cart`, which we will represent as a list of 3 element tuples, by adding a specified `percent` tax to the price of each item. We will then compute the cost of all our items including tax.

Shopping carts are represented like this:

``[(item1, cost1, quantity1), (item2, cost2, quantity2), ..., (itemN, costN, quantityN)]``

Implement `tax(shopping_cart, percent)` and `sum(shopping_cart)` so you can figure out how much you have to pay for all of your items.

``````def tax(shopping_cart, percent):
"""
Adds a `percent` tax to each item's price in a shopping cart.

>>> fruitCart = [("apple", 0.5, 3), ("banana", 0.25, 4)]
>>> tax(fruitCart, 10)
[('apple', 0.55, 3), ('banana', 0.275, 4)]

>>> calCart = [("oski", 1000, 1), ("go", 1.25, 2), ("bears", 3.5, 2)]
>>> tax(calCart, 100)
[('oski', 2000.0, 1), ('go', 2.5, 2), ('bears', 7.0, 2)]
"""
``````

Use OK to test your code:

``python3 ok -q tax``

Question 7: Shopping - Cart Sum

``````def cartSum(shopping_cart):
"""
Sums a shopping cart returning a float.

>>> fruitCart = [("apple", 0.5, 3), ("banana", 0.25, 4)]
>>> taxedFruit = tax(fruitCart, 10)
>>> cartSum(taxedFruit)
2.75
>>> calCart = [("oski", 1000, 1), ("go", 1.25, 2), ("bears", 3.5, 2)]
>>> taxedCal = tax(calCart, 100)
>>> cartSum(taxedCal)
2019.0
"""
``````

Use OK to test your code:

``python3 ok -q cartSum``

Optional Practice Question

To practice, write a function that adds two matrices together using list comprehensions. The function should take in two 2D lists of the same dimensions. Try to implement this in one line!

``````def add_matrices(x, y):
"""
>>> matrix1 = [[1, 3],
...            [2, 0]]
>>> matrix2 = [[-3, 0],
...            [1, 2]]
[[-2, 3], [3, 2]]
"""
``python3 ok -q add_matrices``
``python3 ok --submit``