CSCI 1100 - Test 3 Overview and Practice Questions
Important Logistical Instructions:
- Test 3 will be held Thursday, April 4, 2024.
- Most students will take the exam from 6:00 - 7:30 pm (90 minutes).
- Students who provided us with an accommodation letter indicating the need for extra time or a quiet location will be given extra time beyond 7:30.
- Room assignments will be posted on Submitty by the Wednesday night before the exam, April 3rd.
- Students MUST:
- Go to their assigned rooms.
- Bring their IDs to the exam.
- Sit in the correct section.
- Put away all calculators, phones, etc. and take off/out all headphones and earbuds
- Hand over their tests as soon as the time is up. Those found working on the test after 90 minutes will receive a zero.
Failing to do one of these may result in a 20 point penalty on the exam score. Failure to do all can cost up to 80 points.
- You cannot leave the exam room (not even for a bathroom break) until you hand over your exam.
- Similar to exam 1 and 2, a one-page crib-sheet is allowed during the test.
Overview
- Primary coverage is Lectures 14-19, Labs 7-9, HW 5-7.
- Please review lecture notes, class exercises, labs, homework, practice programs, and tests, working through problems on your own before looking at the solutions.
- Some problems will be related to material covered in Exam 2:
- Lists and files
- List and string splitting; ranges
- You should review relevant material from the Exam 2 practice problems if you are not yet comfortable with these topics.
- No calculators, no textbook, no classnotes, no electronics of any kind! BUT, you may bring a one-page, double-sided, 8.5” x 11” “crib sheet” sheet with you. You may prepare this as you wish, and you may work in groups to prepare a common crib sheet. Of course, each of you must have your own copy during the test. You will need to turn in a signed copy of your crib sheet at the end of the test. If you need to keep a copy for your records, please photocopy it prior to coming to the exam.
- Please refer back to the Test 1 and Test 2 practice problems for further instructions.
Questions
Not Used
Write a function called
notusedthat takes a list of words as its single parameter, and returns a set containing the letters of the English alphabet that are not used by any of the words in the input list. Your function must use sets. Here is an example of how your function should work:
1 2>>> notused([ "Dog", "pony", "elephant", "Tiger", "onyx", "Zebu" ]) {'c', 'f', 'k', 'j', 'm', 'q', 's', 'w', 'v'}Hint: you can use the following set in your solution:
1all_letters = set("abcdefghijklmnopqrstuvwxyz")
Answer of This Question
Here’s a Python function notused that takes a list of words and returns a set containing the letters of the English alphabet that are not used by any of the words in the input list:
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Explanation:
-
We define the function
notusedthat takes a list of words as its parameter. -
We create a set called
all_lettersthat contains all the lowercase letters of the English alphabet usingset("abcdefghijklmnopqrstuvwxyz"). -
We initialize an empty set called
used_lettersto store the letters used by the words in the input list. -
We start a loop that iterates over each word in the
wordslist. -
For each word, we convert it to lowercase using
word.lower()to ensure case-insensitivity. Then, we convert the lowercase word into a set of its individual letters usingset(word.lower()). -
We update the
used_lettersset by taking the union of itself with the set of letters from the current word using the|=operator. This adds any new letters from the current word to theused_lettersset. -
After the loop,
used_letterswill contain all the letters used by the words in the input list. -
Finally, we return the set difference between
all_lettersandused_lettersusingall_letters - used_letters. This gives us the set of letters from the English alphabet that are not used by any of the words in the input list.
Here’s an example of how the function works:
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In this example, the function notused is called with a list of words. It returns a set containing the letters ‘c’, ‘f’, ‘k’, ‘j’, ’m’, ‘q’, ’s’, ‘w’, and ‘v’, which are the letters of the English alphabet that are not used by any of the words in the input list.
The solution uses sets to efficiently handle the comparison and difference operations between the sets of letters.
Set Intersection
Given three sets,
s1,s2, ands3, write a short segment of Python code to find the values that are in exactly one of the three sets. The result should be stored in a set calleds. You may NOT use any loops or ifs.
Answer of This Question
To find the values that are in exactly one of the three sets s1, s2, and s3 without using any loops or conditionals, you can use set operations in Python. Here’s the code segment:
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Explanation:
-
The
^operator performs the symmetric difference operation between sets. It returns a new set that contains elements that are in either of the sets but not in both.s1 ^ s2 ^ s3gives us a set containing elements that are in exactly one or all three sets.
-
To remove the elements that are in more than one set, we need to subtract the intersections of each pair of sets.
s1 & s2gives us the elements that are common to boths1ands2.s1 & s3gives us the elements that are common to boths1ands3.s2 & s3gives us the elements that are common to boths2ands3.
-
By subtracting the intersections
(s1 & s2),(s1 & s3), and(s2 & s3)from the symmetric difference(s1 ^ s2 ^ s3), we remove the elements that are in more than one set. -
The resulting set
swill contain only the elements that are in exactly one of the three setss1,s2, ands3.
This code segment achieves the desired result without using any loops or conditionals, utilizing only set operations.
Words in All Strings
Given three strings of words, with each word separated by a space, write code to output the number of words that appear in all three strings. Assume the strings are associated with the variables
w1,w2andw3.For
1 2 3w1 = "the quick brown fox jumps over the lazy dog" w2 = "hey diddle diddle the cat and the fiddle the cow jumps over the moon" w3 = "jack and jill went over the hill to fetch a pail of water"The output should be
2becausetheandoverappear in all three. No loops are allowed. You can solve this in one (long) line of code. In this case, it is acceptable to use more than one line, but make sure you understand the one-line solution when you see it.
Answer of This Question
To find the number of words that appear in all three strings without using loops, you can use the set data structure and the intersection method. Here’s the solution:
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Explanation:
-
We use the
split()method on each string (w1,w2,w3) to split them into lists of words. By default,split()splits the string on whitespace, which separates the words. -
We convert each list of words into a set using
set(). A set is an unordered collection of unique elements, so it eliminates any duplicate words within each string. -
We use the
&operator (set intersection) to find the common elements between the sets. The intersection of two sets returns a new set containing only the elements that are present in both sets. -
We chain the
&operator to find the intersection of all three sets, which gives us a set of words that appear in all three strings. -
Finally, we use the
len()function to count the number of elements in the resulting set, which represents the number of words that appear in all three strings.
The one-line solution combines all these steps into a single line of code, making it concise but potentially less readable. It’s important to understand the individual steps and the concept of set intersection to comprehend the one-line solution.
You can test the code with the provided example:
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The output will be 2 because the words “the” and “over” appear in all three strings.
Set Operations Output
What is the output when the following code is run by Python? For sets, do not worry about getting the exact order of the output correct.
1 2 3 4 5 6 7 8 9 10s1 = set([7, 9, 12, 7, 9] ) s2 = set(['abc', 12, 'b', 'car', 7, 10, 12 ]) s3 = set([12, 14, 12, 'ab']) print(s1 & s2) print(s1 | s2) print('b' in s2) print('ab' in s2) print('ab' in s3) s2.discard(12) print((s1 & s2) ^ s3)Of course, you can make up many other questions about set operations.
Answer of This Question
The output of the given code will be:
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Explanation:
-
s1 = set([7, 9, 12, 7, 9]): This creates a sets1with elements 7, 9, and 12. Duplicates are automatically removed. -
s2 = set(['abc', 12, 'b', 'car', 7, 10, 12]): This creates a sets2with elements ‘abc’, 12, ‘b’, ‘car’, 7, and 10. Again, duplicates are removed. -
s3 = set([12, 14, 12, 'ab']): This creates a sets3with elements 12, 14, and ‘ab’. -
print(s1 & s2): This performs the intersection operation between setss1ands2, which returns a new set containing the common elements. The output will be{12, 7}. -
print(s1 | s2): This performs the union operation between setss1ands2, which returns a new set containing all the elements from both sets. The output will be{'b', 7, 9, 10, 12, 'car', 'abc'}. -
print('b' in s2): This checks if the element ‘b’ is present in sets2. It will outputTruesince ‘b’ is ins2. -
print('ab' in s2): This checks if the element ‘ab’ is present in sets2. It will outputFalsesince ‘ab’ is not ins2. -
print('ab' in s3): This checks if the element ‘ab’ is present in sets3. It will outputTruesince ‘ab’ is ins3. -
s2.discard(12): This removes the element 12 from sets2if it exists. After this operation,s2will be{'abc', 'b', 'car', 7, 10}. -
print((s1 & s2) ^ s3): This performs the following operations:s1 & s2calculates the intersection of setss1ands2, which is{7}.(s1 & s2) ^ s3performs the symmetric difference operation between the result ofs1 & s2and sets3. It returns a new set containing elements that are in either(s1 & s2)ors3, but not in both. The output will be{12, 7, 14, 'ab'}.
The order of elements in the output sets may vary since sets are unordered collections. The actual output you provided matches the expected output.
Restaurant Reviews
You are given a dictionary containing reviews of restaurants. Each key is the name of the restaurant. Each item in the dictionary is a list of reviews. Each review is a single string. See the example below.
1 2 3rest_reviews = {"DeFazio's":["Great pizza", "Best in upstate"], \ "I Love NY Pizza":["Great delivery service"], \ "Greasy Cheese": [ "Awful stuff", "Everything was terrible" ] }Assuming
rest_reviewshas already been created, solve the following problems.(a) Write code to find all restaurants where the review contains at least one of the following words: awful, terrible, dump. For each restaurant found, output the name of the restaurant and the number of reviews that have at least one of the words. Be careful about capitalization. ‘Awful’ and ‘awful’ should match.
(b) Write code to find and print the name of the restaurant with the highest number of reviews. If there is more than one restaurant with the same number of reviews, print the names of each of these restaurants.
(c) Write a function that takes as arguments the review dictionary, a new review, and the name of a restaurant. The function should add the review to the dictionary. If the restaurant is already in the dictionary, the function should add the review to the existing list of reviews for that restaurant. If the restaurant is not in the dictionary, the function should add a new item to the dictionary. Your function should be called by
add_review(rest_reviews, new_review, rest_name)(d) Write a function that takes the same arguments as
add_review, but deletes the given review. Specifically, if the review is in the dictionary associated with the restaurant, the function should delete the review and return True. Otherwise, the function should return False. If the given restaurant is not in the dictionary, the function should also return False. The function should be called bydel_review(rest_reviews, old_review, rest_name)
Answer of Part A
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Explanation:
- We iterate over each restaurant and its reviews in the
rest_reviewsdictionary. - For each restaurant, we initialize a
countvariable to keep track of the number of reviews containing the specified words. - We iterate over each review and check if any of the specified words (“awful”, “terrible”, “dump”) are present in the review (case-insensitive).
- If a review contains any of the specified words, we increment the
count. - After checking all reviews for a restaurant, if the
countis greater than 0, we print the restaurant name and the count of reviews containing the specified words.
Answer of Part B
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Explanation:
- We initialize
max_reviewsto keep track of the highest number of reviews andrestaurants_with_max_reviewsto store the restaurant(s) with the highest number of reviews. - We iterate over each restaurant and its reviews in the
rest_reviewsdictionary. - For each restaurant, we calculate the number of reviews using
len(reviews). - If the number of reviews is greater than the current
max_reviews, we updatemax_reviewsand setrestaurants_with_max_reviewsto a list containing only the current restaurant. - If the number of reviews is equal to
max_reviews, we append the current restaurant torestaurants_with_max_reviews. - Finally, we print the restaurant(s) with the highest number of reviews.
Answer of Part C
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Explanation:
- The
add_reviewfunction takes therest_reviewsdictionary, anew_review, and therest_nameas arguments. - If the
rest_nameis already present in therest_reviewsdictionary, we append thenew_reviewto the existing list of reviews for that restaurant. - If the
rest_nameis not in the dictionary, we create a new entry in the dictionary with therest_nameas the key and a list containing thenew_reviewas the value.
Answer of Part D
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Explanation:
- The
del_reviewfunction takes therest_reviewsdictionary, anold_review, and therest_nameas arguments. - If the
rest_nameis present in therest_reviewsdictionary, we check if theold_reviewis in the list of reviews for that restaurant. - If the
old_reviewis found, we remove it from the list using theremovemethod and returnTrueto indicate successful deletion. - If the
rest_nameis not in the dictionary or theold_reviewis not found, we returnFalseto indicate that the deletion was not successful.
Python Output
For each of the following sections of code, write the output that Python would generate:
Part A
1 2 3 4 5 6x = {1:['joe',set(['skiing','reading'])],\ 2:['jane',set(['hockey'])]} x[1][1].add('singing') x[1][0] = 'kate' for item in sorted(x.keys()): print(x[item][0], len(x[item][1]))Part B
1 2 3 4 5 6 7 8 9 10y = {'jane':10, 'alice':2, 'bob':8,\ 'kristin':10} m = 0 for person in sorted(y.keys()): if y[person] > m: print("**", person) m = y[person] for person in sorted(y.keys()): if y[person] == m: print("!!", person)Part C: Note that this problem requires an understanding of aliasing.
1 2 3 4 5 6 7 8 9 10 11L1 = [0,1,2] L2 = ['a','b'] d = {5:L1, 8:L2} L1[2] = 6 d[8].append('k') L2[0] = 'car' for k in sorted(d.keys()): print(str(k) + ' ', end='') for v in d[k]: print(str(v) + ' ', end='') print()Part D:
1 2 3 4 5 6 7 8 9 10 11L1 = [0,1,2,4,1,0] s1 = set(L1) L1.pop() L1.pop() L1.pop() L1[0] = 5 s1.add(6) s1.discard(1) print(L1) for v in sorted(s1): print(v)
Answer of Part A
Output:
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Explanation:
- The code creates a dictionary
xwith keys 1 and 2. The value for key 1 is a list containing the string ‘joe’ and a set with elements ‘skiing’ and ‘reading’. The value for key 2 is a list containing the string ‘jane’ and a set with the element ‘hockey’. - The line
x[1][1].add('singing')adds the element ‘singing’ to the set at index 1 of the list associated with key 1 in the dictionaryx. - The line
x[1][0] = 'kate'updates the string at index 0 of the list associated with key 1 in the dictionaryxto ‘kate’. - The
forloop iterates over the sorted keys of the dictionaryx. - For each key
item, it prints the string at index 0 of the corresponding list (x[item][0]) and the length of the set at index 1 of the list (len(x[item][1])). - The output shows that for key 1, the string is ‘kate’ and the set has 3 elements, and for key 2, the string is ‘jane’ and the set has 1 element.
Answer of Part B
Output:
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Explanation:
- The code creates a dictionary
ywith keys ‘jane’, ‘alice’, ‘bob’, and ‘kristin’, and their corresponding values. - The variable
mis initialized to 0. - The first
forloop iterates over the sorted keys of the dictionaryy. - For each
person, if the valuey[person]is greater thanm, it prints"** " + personand updatesmto the value ofy[person]. This finds the maximum value in the dictionary. - The output of the first loop shows that ‘alice’, ‘bob’, and ‘jane’ are printed with
"**"prefix because their values are greater than the initial value ofm(which is 0). - After the first loop,
mholds the maximum value found in the dictionary, which is 10. - The second
forloop iterates over the sorted keys of the dictionaryyagain. - For each
person, if the valuey[person]is equal tom(the maximum value), it prints"!! " + person. - The output of the second loop shows that ‘jane’ and ‘kristin’ are printed with
"!!"prefix because their values are equal to the maximum valuem(which is 10).
Thank you for pointing out the mistake. I appreciate your attention to detail!
Answer of Part C
Output:
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Explanation:
- The code creates two lists,
L1andL2, and a dictionarydwith keys 5 and 8. The value for key 5 isL1, and the value for key 8 isL2. - The line
L1[2] = 6updates the element at index 2 ofL1to 6. - The line
d[8].append('k')appends the element ‘k’ to the listL2, which is the value for key 8 in the dictionaryd. - The line
L2[0] = 'car'updates the element at index 0 ofL2to ‘car’. - The
forloop iterates over the sorted keys of the dictionaryd. - For each key
k, it prints the string representation ofkfollowed by a space. - The nested
forloop iterates over the valuesvin the listd[k]and prints the string representation of eachvfollowed by a space. - After each inner loop, it prints a newline character to move to the next line.
- The output shows that for key 5, the corresponding list is
[0, 1, 6], and for key 8, the corresponding list is['car', 'b', 'k'].
Answer of Part D
Output:
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Explanation:
- The code creates a list
L1with elements[0, 1, 2, 4, 1, 0]. - The line
s1 = set(L1)creates a sets1from the elements ofL1. The set will contain only unique elements fromL1, which are{0, 1, 2, 4}. - The lines
L1.pop(),L1.pop(), andL1.pop()remove the last three elements from the listL1. After these operations,L1becomes[0, 1, 2]. - The line
L1[0] = 5updates the element at index 0 ofL1to 5. Now,L1becomes[5, 1, 2]. - The line
s1.add(6)adds the element 6 to the sets1. The sets1becomes{0, 1, 2, 4, 6}. - The line
s1.discard(1)removes the element 1 from the sets1. The sets1becomes{0, 2, 4, 6}. - The line
print(L1)prints the updated listL1, which is[5, 1, 2]. - The
forloop iterates over the sorted elementsvin the sets1and prints each element on a new line. - The output shows the updated list
L1and the elements of the sets1in sorted order, which are0,2,4, and6.
Thank you for bringing this to my attention. I appreciate your careful review of the answers!
Person Class
Suppose
Personis a class that stores for each person their name, birthday, name of their mother and father. All of these are strings. The start of the class, including the initializer, is given below.
1 2 3 4 5 6class Person(object): def __init__(self, n, bd, m, f): self.name = n self.birthday = bd self.mother = m self.father = fWrite a method for the
Personclass that takes as an argument self and anotherPersonobject and returns2if the two people are twins,1if they are siblings (but not twins),-1if two people are the same, and0otherwise. Note that siblings or twins must have the same mother and the same father.
Answer of This Question
To determine the relationship between two Person objects, we can compare their mother, father, and birthday attributes. Here’s the method you can add to the Person class:
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Explanation:
-
The method
relationshiptakes two arguments:self(the currentPersonobject) andother(anotherPersonobject). -
We first check if
selfandotherrefer to the samePersonobject using the equality operator==. If they are the same object, we return -1. -
If
selfandotherare not the same object, we check if they have the same mother and father by comparing themotherandfatherattributes of both objects. If they have the same mother and father, it means they are either twins or siblings. -
If
selfandotherhave the same mother and father, we further check theirbirthdayattribute:- If their birthdays are the same, we return 2 to indicate that they are twins.
- If their birthdays are different, we return 1 to indicate that they are siblings (but not twins).
-
If
selfandotherdo not have the same mother and father, we return 0 to indicate that they are not related as siblings or twins.
With this method added to the Person class, you can create Person objects and determine their relationship using the relationship method. For example:
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The relationship method correctly determines the relationship between two Person objects based on their mother, father, and birthday attributes.
Merge Dictionaries
You are given dictionaries D1 and D2 where each key is a string representing a name and each value is a set of phone numbers. Write a function to merge D1 and D2 into a single dictionary D. D should contain all the information in both D1 and D2. As an example,
1 2 3 4D1 = {'Joe':set(['555-1111','555-2222']), 'Jane':set(['555-3333'])} D2 = {'Joe':set(['555-2222','555-4444']), 'Kate':set(['555-6666'])} merge_dict(D1,D2) {'Joe':set(['555-1111','555-2222','555-4444']), 'Jane':set(['555-3333']), 'Kate':set(['555-6666']) }
Answer of This Question
Here’s a Python function that merges two dictionaries D1 and D2 into a single dictionary D based on the given requirements:
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Explanation:
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We start by creating an empty dictionary
Dto store the merged result. -
We iterate over each key-value pair in
D1using theitems()method:- For each
name(key) andnumbers(value) pair, we add thenameas a key toDand create a copy of thenumbersset usingnumbers.copy(). This ensures that the original sets inD1are not modified.
- For each
-
Next, we iterate over each key-value pair in
D2:- If the
name(key) already exists inD, we merge thenumbersset fromD2with the existing set inDusing the|=operator (set union). - If the
name(key) doesn’t exist inD, we add it as a new key toDand create a copy of thenumbersset fromD2usingnumbers.copy().
- If the
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Finally, we return the merged dictionary
D.
The function correctly merges the information from both D1 and D2 into a single dictionary D. If a name exists in both dictionaries, the corresponding phone number sets are merged using set union.
You can test the function with the provided example:
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Output:
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The merged dictionary D contains all the information from both D1 and D2, with the phone number sets merged for common names.
Student Class
This question involves a class called
Studentthat stores the student’s name (a string), id number (a string), courses taken (list of strings), and major (a string). Write the Python code that implements this class, including just the following methods:(a) An initializer having as parameters only the name and the id. This should initialize the list of courses to empty and the major to “Undeclared”. An example use of this method would be:
1p = Student( "Chris Student", "123454321" )(b) A method called
add_coursesto add a list of courses to the courses that the student takes. For example, the following should add three courses to Chris Student.
1p.add_courses( [ "CSCI1100", "BASK4010", "GEOL1320" ] )(c) A method called
common_coursesthat returns a list containing the courses two students have taken in common:
1 2 3 4q = Student( "Bilbo Baggins", "545454545" ) q.add_courses( [ "MATH1240", "CSCI1100", "HIST2010", "BASK4010" ] ) print(q.common_courses(p)) [ "CSCI1100", "BASK4010" ]
Answer of This Question
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Explanation:
(a) The __init__ method is the initializer for the Student class. It takes the name and id as parameters and initializes the name and id attributes of the Student object. It also initializes the courses attribute as an empty list and sets the major attribute to “Undeclared”.
(b) The add_courses method takes a list of courses as a parameter and adds them to the courses attribute of the Student object. It uses the extend method of the list to add multiple courses at once.
(c) The common_courses method takes another Student object (other_student) as a parameter and returns a list of courses that both students have taken in common. It uses the set intersection operation (&) to find the common courses between the current student’s courses and the other student’s courses. The resulting set is then converted back to a list using the list function.
You can use the class as follows:
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This code creates two Student objects, p and q, with their respective names and IDs. It adds courses to each student using the add_courses method. Finally, it calls the common_courses method on q, passing p as the argument, to find the courses that both students have in common. The output will be ['CSCI1100', 'BASK4010'].
Taking Multiple CSCI Courses
Using the
Studentmethods and attributes from the previous question, suppose you are given a list of student objects called all_students. Write a segment of code to output the names of all students who have taken at least two courses that start with CSCI.
Answer of This Question
Assuming you have a list of Student objects called all_students, here’s a code segment that outputs the names of students who have taken at least two courses starting with “CSCI”:
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Explanation:
-
We iterate over each
Studentobject in theall_studentslist using aforloop. -
For each student, we create a new list called
csci_coursesusing a list comprehension. This list comprehension does the following:- It iterates over each course in the student’s
courseslist usingfor course in student.courses. - For each course, it checks if the course starts with “CSCI” using the
startswithmethod:if course.startswith("CSCI"). - If the course starts with “CSCI”, it is included in the
csci_courseslist.
- It iterates over each course in the student’s
-
After creating the
csci_courseslist, we check its length usinglen(csci_courses). If the length is greater than or equal to 2, it means the student has taken at least two courses starting with “CSCI”. -
If the condition
len(csci_courses) >= 2is true, we print the student’s name usingprint(student.name).
This code segment will output the names of all students in the all_students list who have taken at least two courses starting with “CSCI”.
For example, if you have the following all_students list:
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Running the code segment on this all_students list will output:
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This is because only the student “Alice Smith” has taken at least two courses starting with “CSCI” (“CSCI1100” and “CSCI2200”).
K Smallest Values
Given a list
Land a positive integerk, create a new list containing only the k smallest values inLlist. For example, ifL = [ 15, 89, 3, 56, 83, 123, 51, 14, 15, 67, 15 ]andk=4, then the new list should have the valuesLs = [3, 14, 15, 15](Note that one of the 15s is not here.) Write a function,k_smallest(L,k), that returns the desired list. It does this using sorting, but does not changeL. Do this in 4 lines of code without writing any loops.
Answer of This Question
Here’s a Python function k_smallest(L, k) that returns a new list containing the k smallest values from the input list L without modifying L, using sorting and without writing any loops:
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Explanation:
-
We create a new list
sorted_Lby calling thesorted()function on the input listL. This creates a new sorted list in ascending order without modifying the original listL. -
We create a new list
Lsby slicing thesorted_Llist from index 0 to indexk(exclusive) using the slicing syntaxsorted_L[:k]. This selects the firstkelements from the sorted list, which correspond to theksmallest values. -
Finally, we return the
Lslist containing theksmallest values from the original listL.
The function achieves the desired result in just 4 lines of code without using any loops. It utilizes the built-in sorted() function to sort the list and slicing to extract the k smallest values.
You can test the function with the provided example:
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The function will return the list [3, 14, 15, 15], which contains the 4 smallest values from the original list L, without modifying L.
Code Segment Output
What is the output of the following two code segments?
Part A
1 2 3 4 5 6dt = { 1: [ 'mom', 'dad'], 'hi': [1, 3, 5 ]} print(len(dt)) print(dt[1][0]) dt['hi'].append(3) dt[1][0] = 'gran' print(dt[1])Part B
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18# Remember that pop() removes and returns the last value from the list. LP = [2, 3, 5, 7] LC = [4, 6, 8, 9] nums = dict() nums['pr'] = LP nums['co'] = LC[:] LP[1] = 5 print(len(nums['co'])) v = LC.pop() v = LC.pop() v = LC.pop() LC.append(12) print(len(LC)) print(len(nums['co'])) v = nums['pr'].pop() v = nums['pr'].pop() print(nums['pr'][1]) print(len(LP))
Answer of Part A
Output:
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Explanation:
- The code creates a dictionary
dtwith keys 1 and ‘hi’. The value for key 1 is a list containing the strings ‘mom’ and ‘dad’. The value for key ‘hi’ is a list containing the integers 1, 3, and 5. - The line
print(len(dt))prints the length of the dictionarydt, which is 2 since it has two key-value pairs. - The line
print(dt[1][0])prints the element at index 0 of the list associated with key 1 in the dictionarydt, which is ‘mom’. - The line
dt['hi'].append(3)appends the integer 3 to the list associated with key ‘hi’ in the dictionarydt. After this operation, the value for key ‘hi’ becomes [1, 3, 5, 3]. - The line
dt[1][0] = 'gran'updates the element at index 0 of the list associated with key 1 in the dictionarydtto ‘gran’. - The line
print(dt[1])prints the list associated with key 1 in the dictionarydt, which is now [‘gran’, ‘dad’].
Answer of Part B
Output:
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Explanation:
- The code creates two lists,
LPandLC, with some initial values. - It creates an empty dictionary called
nums. - The line
nums['pr'] = LPassigns the listLPas the value for the key ‘pr’ in the dictionarynums. - The line
nums['co'] = LC[:]creates a shallow copy of the listLCand assigns it as the value for the key ‘co’ in the dictionarynums. - The line
LP[1] = 5updates the element at index 1 of the listLPto 5. This does not affect the listnums['pr']because it is a separate copy. - The line
print(len(nums['co']))prints the length of the list associated with the key ‘co’ in the dictionarynums, which is 4. - The lines
v = LC.pop(),v = LC.pop(), andv = LC.pop()remove and assign the last three elements of the listLCto the variablev. After these operations,LCbecomes [4]. - The line
LC.append(12)appends the integer 12 to the listLC. Now,LCbecomes [4, 12]. - The line
print(len(LC))prints the length of the listLC, which is 2. - The line
print(len(nums['co']))prints the length of the list associated with the key ‘co’ in the dictionarynums, which is still 4 because it was a separate copy and not affected by the changes made toLC. - The lines
v = nums['pr'].pop()andv = nums['pr'].pop()remove and assign the last two elements of the list associated with the key ‘pr’ in the dictionarynumsto the variablev. After these operations,nums['pr']becomes [2, 5]. - The line
print(nums['pr'][1])prints the element at index 1 of the list associated with the key ‘pr’ in the dictionarynums, which is 5. - The line
print(len(LP))prints the length of the listLP, which is 2 because it was affected by thepop()operations onnums['pr'].
Finding Names by Age
Given is a list of dictionaries, where each dictionary stores information about a person in the form of attribute (key) / value pairs. For example, here is a list of dictionaries representing four people:
1 2 3 4 5 6people = [ { 'name':'Paul', 'age' : 25, 'weight' : 165 }, { 'height' : 155, 'name' : 'Sue', 'age' : 30, 'weight' : 123 }, { 'weight' : 205, 'name' : 'Sam' }, { 'height' : 156, 'name' : 'Andre', 'age' : 39, 'weight' : 123 } ]Write code that finds and outputs, in alphabetical order, the names of all people whose age is known to be at least 30. You may assume that each dictionary in people has a ’name’ key, but not necessarily a ‘age’ key. For the example above, the output should be:
1 2Andre Sue
Answer of This Question
To find and output the names of people whose age is known to be at least 30, you can use a list comprehension to filter the dictionaries based on the ‘age’ key and then sort the resulting names alphabetically. Here’s the code to achieve this:
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Explanation:
-
We start with the given list of dictionaries called
people. -
We use a list comprehension to create a new list called
names. The list comprehension iterates over each dictionarypersonin thepeoplelist. -
For each
persondictionary, we check two conditions:- First, we check if the ‘age’ key exists in the dictionary using the
'age' in personcondition. This ensures that we only consider dictionaries that have an ‘age’ key. - Second, we check if the value of the ‘age’ key is greater than or equal to 30 using the
person['age'] >= 30condition.
- First, we check if the ‘age’ key exists in the dictionary using the
-
If both conditions are satisfied, we include the value of the ’name’ key from the
persondictionary in thenameslist. -
After the list comprehension, we have a list
namesthat contains the names of people whose age is known to be at least 30. -
We use the
sort()method to sort thenameslist alphabetically. -
Finally, we iterate over each
namein the sortednameslist and print them one by one.
The output of the code will be:
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This code effectively filters the list of dictionaries based on the age condition, extracts the names, sorts them alphabetically, and prints them as required.
Creating a City to State Dictionary
Given a dictionary that associates the names of states with a list of the names of (some of the) cities that appear in it, write a function that creates and returns a new dictionary that associates the name of a city with the list of states that it appears in. Within the function, output the cities that are unique — they appear in only one state. Do this in alphabetical order. As an example, if the first dictionary looks like:
1 2 3 4 5states = { 'New Hampshire': ['Concord', 'Hanover'], 'Massachusetts': ['Boston', 'Concord', 'Springfield'], 'Illinois': ['Chicago', 'Springfield', 'Peoria'] }then after the function the new dictionary call cities should look like:
1 2 3 4 5 6 7 8cities = { 'Hanover': ['New Hampshire'], 'Chicago': ['Illinois'], 'Boston': ['Massachusetts'], 'Peoria': ['Illinois'], 'Concord': ['New Hampshire', 'Massachusetts'], 'Springfield': ['Massachusetts', 'Illinois'] }and the four unique cities output should be:
1 2 3 4Boston Chicago Hanover PeoriaHere is the function prototype:
1def create_cities(states):
Answer of This Question
Here’s a Python function that creates a new dictionary associating cities with the states they appear in and outputs the unique cities in alphabetical order:
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Explanation:
-
We define the function
create_citiesthat takes thestatesdictionary as input. -
We initialize an empty dictionary called
citiesto store the city-to-state mappings. -
We also initialize an empty list called
unique_citiesto store the names of the unique cities. -
We iterate over each state and its corresponding list of cities in the
statesdictionary using theitems()method. -
For each city in the city list, we check if it already exists as a key in the
citiesdictionary:- If the city is not in the
citiesdictionary, we add it as a key with a list containing the current state as the value. - If the city is already in the
citiesdictionary, we append the current state to the existing list of states for that city.
- If the city is not in the
-
After creating the
citiesdictionary, we iterate over each city and its corresponding list of states in thecitiesdictionary using theitems()method. -
For each city, we check if the length of its state list is equal to 1. If it is, it means the city appears in only one state, so we append the city name to the
unique_citieslist. -
We sort the
unique_citieslist in alphabetical order using thesort()method. -
We iterate over each city in the sorted
unique_citieslist and print them one by one. -
Finally, we return the
citiesdictionary.
Using the provided example states dictionary, the output of the function will be:
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And the returned cities dictionary will be:
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This function creates the desired city-to-state dictionary, outputs the unique cities in alphabetical order, and returns the cities dictionary.
Rectangle Class Methods
Consider the following definition of a Rectangle class:
1 2 3 4 5 6 7class Rectangle(object): def __init__( self, u0, v0, u1, v1 ): self.x0 = u0 # x0 and y0 form the lower left corner of the rectangle self.y0 = v0 self.x1 = u1 # x1 and y1 form the upper right corner of the rectangle self.y1 = v1 self.points = [] # See part (b)(a) Write a
Rectangleclass method called contains that determines if a location represented by anxand ayvalue is inside the rectangle. Note, that for this example, on the boundary counts as in the rectangle. For example:
1 2 3 4 5r = Rectangle( 1, 3, 7, 10 ) r.contains( 1, 4) True r.contains( 2,11) False(b) Suppose there is a second class:
1 2 3 4 5class Point(object): def __init__( self, x0, y0, id0 ): self.x = x0 self.y = y0 self.id = id0and each
Rectanglestores a list of Point objects whose coordinates are inside the rectangle. Write a Rectangle class method calledadd_pointsthat adds a list ofPointobjects to the existing (initially empty) list of Point objects stored with theRectangleobject. If a point is outside the rectangle’s boundary or if a point with the same id is already in the rectangle’s point list, the point should be ignored. Otherwise, it should be added to the rectangle’s point list. Your method must make use of the contains method from part (a).
Answer of Part A
Here’s the implementation of the contains method for the Rectangle class:
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Explanation:
- The
containsmethod takes two parameters:xandy, representing the coordinates of the point to check. - It checks if the given
xandyvalues fall within the boundaries of the rectangle. - The condition
self.x0 <= x <= self.x1checks ifxis between the left and right boundaries of the rectangle (inclusive). - The condition
self.y0 <= y <= self.y1checks ifyis between the bottom and top boundaries of the rectangle (inclusive). - If both conditions are true, it means the point is inside the rectangle or on its boundary, so the method returns
True. - Otherwise, if either condition is false, the point is outside the rectangle, and the method returns
False.
Example usage:
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In the first example, the point (1, 4) is inside the rectangle, so contains returns True.
In the second example, the point (2, 11) is outside the rectangle, so contains returns False.
Answer of Part B
Here’s the implementation of the add_points method for the Rectangle class:
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Explanation:
- The
add_pointsmethod takes a list ofPointobjects as a parameter. - It iterates over each
pointin thepointslist. - For each
point, it checks two conditions:- It calls the
containsmethod (from part a) to check if the point’s coordinates (point.x,point.y) are inside the rectangle’s boundaries. - It checks if a point with the same
idas the currentpointalready exists in the rectangle’spointslist using theanyfunction and a generator expression.
- It calls the
- If both conditions are satisfied (i.e., the point is inside the rectangle and no point with the same
idexists in thepointslist), thepointis appended to the rectangle’spointslist usingself.points.append(point). - If either condition is not satisfied (i.e., the point is outside the rectangle or a point with the same
idalready exists), thepointis ignored and not added to thepointslist.
Example usage:
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Output:
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In this example:
p1andp2are inside the rectangle and have uniqueids, so they are added to thepointslist.p3is outside the rectangle, so it is ignored.p4has the sameidasp1, so it is also ignored.
After adding the points, the rectangle’s points list contains only p1 and p2, as shown in the output.
Code Output
Show the output of the following code:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15places = { 'OR': {'Portland' : set(['Pearl District', 'Alameda']), 'Eugene' : set()}, 'NY': {'Albany' : set(), 'NY' : set(['Chelsea', 'Harlem'])} } print(places['OR']['Eugene']) a = [] for place in places: a += places[place].keys() print(a) for x in a: if len(x) < 7: print(x) for place in places: if x in places[place]: print(places[place][x])
Answer of This Question
Apologies for the mistake in my previous answer. Here’s the corrected output of the given code:
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Explanation:
-
print(places['OR']['Eugene']):- This line accesses the value associated with the key ‘Eugene’ in the dictionary
places['OR']. - The value associated with ‘Eugene’ is an empty set
set(), so it printsset().
- This line accesses the value associated with the key ‘Eugene’ in the dictionary
-
a = []andfor place in places: a += places[place].keys():- These lines initialize an empty list
aand then iterate over the keys of theplacesdictionary. - For each key
place, it retrieves the keys of the nested dictionaryplaces[place]usingplaces[place].keys()and appends them to the lista. - After the loop,
acontains the list['Portland', 'Eugene', 'Albany', 'NY'].
- These lines initialize an empty list
-
print(a):- This line prints the list
a, which is['Portland', 'Eugene', 'Albany', 'NY'].
- This line prints the list
-
for x in a: if len(x) < 7: print(x):- This loop iterates over each element
xin the lista. - If the length of
xis less than 7, it printsx. - The output of this loop is:
1 2 3Eugene Albany NY
- This loop iterates over each element
-
for place in places: if x in places[place]: print(places[place][x]):- This loop iterates over each key
placein theplacesdictionary. - It checks if the last value of
xfrom the previous loop (‘NY’) is a key in the nested dictionaryplaces[place]. - If ‘NY’ is a key in
places[place], it prints the value associated with that key. - The output of this loop is:
1{'Harlem', 'Chelsea'} - The line
{'Harlem', 'Chelsea'}is printed because ‘NY’ is a key inplaces['NY'], and it prints the set associated with ‘NY’.
- This loop iterates over each key
So, the complete output of the code is:
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I apologize for the confusion in my previous answer. Thank you for pointing out the correction.
Business Reviews
Suppose you are given a file named
businesses.txtin which each line contains the name of a business and its category (a single value), followed by a sequence of review scores, each separated by ‘|’. Write a piece of code that reads this file, and prints the names of all businesses, their categories, and the average review score for each business. Also print the total number of unique categories in this file. For example, for the file below:
1 2 3Dinosaur Bar-B-Que|BBQ|5|4|4|4|5|5|4|2 DeFazio's Pizzeria|Pizza|5|5|5|5|5|5|5|5|5|5|3|5|5|5 I Love NY Pizza|Pizza|4|5|5|3Your program should print:
1 2 3 4Dinosaur Bar-B-Que (BBQ): Score 4.125 DeFazio's Pizzeria (Pizza): Score 4.857 I Love NY Pizza (Pizza): Score 4.250 2 categories found.
Answer of This Question
Here’s a Python script that reads the businesses.txt file, calculates the average review score for each business, and prints the required information:
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Explanation:
-
We start by opening the
businesses.txtfile in read mode using awithstatement. This ensures that the file is properly closed after we’re done reading from it. -
We read all the lines from the file using
file.readlines()and store them in thelineslist. -
We create an empty dictionary called
categoriesto store the category and its corresponding businesses. -
We iterate over each line in the
lineslist. -
For each line, we split it into the business name, category, and review scores using
line.strip().split('|'). Thestrip()method is used to remove any leading or trailing whitespace from the line. -
We convert the review scores from strings to integers using a list comprehension:
[int(score) for score in data[2:]]. -
We calculate the average review score by summing up all the scores and dividing by the number of scores.
-
We check if the category already exists in the
categoriesdictionary. If it does, we append a tuple of the business name and average score to the corresponding list. If it doesn’t exist, we create a new list with the business name and average score and add it to the dictionary. -
After processing all the lines, we iterate over each category and its corresponding businesses in the
categoriesdictionary. -
For each business, we print its name, category, and average review score using an f-string with the desired formatting.
-
Finally, we print the total number of unique categories by getting the length of the
categoriesdictionary.
When you run this script with the provided businesses.txt file, it will produce the desired output:
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This script reads the file, calculates the average review score for each business, and prints the business information along with the total number of unique categories found in the file.
Histogram Function
Write a function that takes as input a list of numbers and generates a histogram. The histogram prints a star (*) for each occurrence of a number in the list. For example, if the list was:
1numbers = [5, 4, 1, 1, 3, 1, 2, 2, 4, 1]Your function should print (sorted by the values):
1 2 3 4 51: **** 2: ** 3: * 4: ** 5: *(a) Write the function using a dictionary. You may not use a set.
(b) Write the same function using a set. You may not use a dictionary (hint: use
countfor the unique items in the list).
Answer of Part A
Here’s a Python function that generates a histogram using a dictionary:
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Explanation:
-
We define a function called
histogram_dictthat takes a list of numbers as input. -
We create an empty dictionary called
count_dictto store the count of each number in the list. -
We iterate over each number
numin thenumberslist. -
For each number, we check if it already exists as a key in the
count_dict:- If it exists, we increment its count by 1.
- If it doesn’t exist, we add it to the dictionary with an initial count of 1.
-
After counting the occurrences of each number, we iterate over the sorted keys of the
count_dictusingsorted(count_dict.keys()). This ensures that the histogram is printed in ascending order of the numbers. -
For each number
num, we print the number followed by a colon and the corresponding number of stars (*) based on its count in thecount_dict. We use the'*' * count_dict[num]expression to repeat the star charactercount_dict[num]times.
Example usage:
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Output:
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This function uses a dictionary to count the occurrences of each number and then prints the histogram based on the counts.
Answer of Part B
Here’s a Python function that generates a histogram using a set:
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Explanation:
-
We define a function called
histogram_setthat takes a list of numbers as input. -
We create a set called
unique_numsby passing thenumberslist to theset()constructor. This automatically removes any duplicate numbers and gives us a set of unique numbers. -
We iterate over each number
numin the sortedunique_numsset usingsorted(unique_nums). This ensures that the histogram is printed in ascending order of the numbers. -
For each unique number
num, we use thecount()method on thenumberslist to count the occurrences of that number in the original list. We store the count in thecountvariable. -
We print the number followed by a colon and the corresponding number of stars (
*) based on its count. We use the'*' * countexpression to repeat the star charactercounttimes.
Example usage:
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Output:
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This function uses a set to store the unique numbers and then uses the count() method to count the occurrences of each unique number in the original list. It then prints the histogram based on the counts.
Note: Using a set eliminates the need for a separate counting step, as we can directly use the count() method on the original list for each unique number.
Alumni Information
You are given a list of RPI Alumni as shown below. Each item in the list is a dictionary containing information about an alumnus and all items have the same keys. Write a piece of code that prints the name and addresses of each person who graduated before 2013. For example, given the list:
1alums = [{'fname':'Abed', 'lname':'Nadir', 'graduated':2012, 'addresses':['Troy&Abed apt.','Abed&Annie apt.']}, {'fname':'Troy', 'lname':'Barnes', 'graduated':2013, 'addresses':['Troy&Abed apt.']}, {'fname':'Britta', 'lname':'Perry', 'graduated':2012, 'addresses':['1 Revolution lane']}]Your code should print (all information is printed in the order it appears in the list):
1 2 3 4 5Abed Nadir Troy&Abed apt. Abed&Annie apt. Britta Perry 1 Revolution lane
Answer of This Question
Here’s the Python code that prints the name and addresses of each person who graduated before 2013:
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Explanation:
-
We start with the given list of alumni, where each alumnus is represented by a dictionary containing their information.
-
We iterate over each
alumdictionary in thealumslist. -
For each
alum, we check if their graduation year (alum['graduated']) is less than 2013. This condition filters out the alumni who graduated before 2013. -
If the condition is true, we proceed to print the name and addresses of the alumnus.
-
We print the first name (
alum['fname']) and last name (alum['lname']) of the alumnus using theprint()function. -
We then iterate over each
addressin thealum['addresses']list. -
For each
address, we print it on a separate line using theprint()function. -
After processing all the alumni, the code will have printed the name and addresses of each person who graduated before 2013.
Output:
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This code iterates over the list of alumni, checks their graduation year, and prints the name and addresses of those who graduated before 2013. The information is printed in the order it appears in the list.
File Line Extraction
Write a function called
get_line(fname,lno,start,end)that takes as input a file namefname, a line numberlno, and starting and end points (start,end) on the given line. The function should return the string containing all the characters from the starting point up to but not including the end point on that line (same as it would be with string slicing!).Line numbers start at 1; characters in a line are counted starting with zero and include the new line character at the end. If there are fewer than
lnolines, your function should return None. If the line atlnohas fewer thanendcharacters, return an empty string.Given the following contents of file
hpss.txt:
1 2 3 4Nearly ten years had passed since the Dursleys had woken up to find their nephew on the front step. Privet Drive had hardly changed at all.The following program:
1 2 3 4print('1:', get_line('hpss.txt', 2, 9, 15)) print('2:', get_line('hpss.txt', 5, 5, 9)) print('3:', get_line('hpss.txt', 5, 0, 4)) print('4:', get_line('hpss.txt', 8, 0, 10))Should print (notice for 3, the newline is also included in the returned string):
1 2 3 41: to fin 2: 3: all. 4: None
Answer of This Question
Here’s the implementation of the get_line function in Python:
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Explanation:
-
We define the
get_linefunction that takes four parameters:fname(file name),lno(line number),start(starting point), andend(end point). -
We use a
tryblock to handle the case where the file might not exist. -
Inside the
tryblock, we open the file specified byfnamein read mode using thewithstatement. This ensures that the file is properly closed after we’re done reading from it. -
We read all the lines from the file using
file.readlines()and store them in thelineslist. -
We check if the requested line number
lnois less than or equal to the total number of lines in the file (len(lines)). -
If the condition is true, we retrieve the line at index
lno - 1from thelineslist (since line numbers start at 1, but list indices start at 0). -
We then check if the requested end point
endis less than or equal to the length of the retrieved line (len(line)). -
If the condition is true, we return the substring of the line starting from index
startup to (but not including) indexendusing string slicing (line[start:end]). -
If the end point
endis greater than the length of the line, we return an empty string (''). -
If the requested line number
lnois greater than the total number of lines in the file, we returnNone. -
If a
FileNotFoundErroroccurs (i.e., the file doesn’t exist), we catch the exception and returnNone.
Now, let’s test the get_line function with the given program:
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Output:
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Explanation of the output:
-
For the first case, the function returns the substring from index 9 to 14 (inclusive) of the second line, which is
"to fin". -
For the second case, the function returns an empty string because the fifth line doesn’t have enough characters to extract from index 5 to 8.
-
For the third case, the function returns the substring from index 0 to 3 (inclusive) of the fifth line, which is
"all.". The newline character is also included in the returned string. -
For the fourth case, the function returns
Nonebecause there is no eighth line in the file.
The get_line function correctly handles the cases where the requested line number or end point exceeds the available lines or characters in the file.
Coldest Years
Suppose you are given the mean temperature for Troy in the month of December in a dictionary
tempas shown below. The keys of the dictionary are years and the values are the mean temperature for that year. Write a piece of code that finds and prints the top three coldest years according to this dictionary. Note: If there are ties in values, any ordering of years is acceptable.For example, given the dictionary below:
1 2 3temp = { 2001: 36.4, 2002: 27.4, 2003: 29.3, 2004: 28.6, 2005: 27.8, 2006: 37.3, 2007: 28.1, 2008: 30.2, 2010: 26.0, 2011: 35.4, 2012: 33.8, 2013: 27.9, 2014: 32.8}Your program should output:
1 2 32010: 26.0 2002: 27.4 2005: 27.8
Answer of This Question
To find the top three coldest years based on the mean temperature data provided in the dictionary, you can sort the dictionary items based on the temperature values in ascending order and print the first three items. Here’s the code to achieve that:
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Explanation:
-
The
tempdictionary is defined with the given mean temperature data for each year. -
We use the
sorted()function to sort the dictionary items based on the temperature values in ascending order. Theitems()method is used to get a list of key-value pairs from the dictionary. Thekeyparameter is set tolambda x: x[1], which means the sorting will be based on the second element of each item tuple (i.e., the temperature value). -
The sorted items are stored in the
sorted_templist, where each item is a tuple containing the year and its corresponding temperature. -
We iterate over the first three items of
sorted_tempusing aforloop and unpack each item into the variablesyearandtemperature. -
Finally, we print each year and its corresponding temperature using an f-string, which allows us to embed variables directly in the string.
The output will be:
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This code will find and print the top three coldest years based on the mean temperature data provided in the dictionary. If there are ties in temperature values, any ordering of the tied years is acceptable.
Thanksgiving Dinner Menus
Suppose you are given three variables
t1,t2,t3in your program. Each variable is a set containing the menu for a different Thanksgiving dinner you are invited to. First, print items that are in the menu for all three dinners. Then, print the items that are in the menu for exactly one dinner. All items should be listed in alphabetical order.For example, if you are given menus:
1 2 3t1 = set(['Turkey', 'Potatoes', 'Green Beans', 'Cranberry', 'Gravy']) t2 = set(['Turkey', 'Yams', 'Stuffing', 'Cranberry', 'Marshmallows']) t3 = set(['Turkey', 'Gravy', 'Yams', 'Green Beans', 'Cranberry', 'Turducken'])Your program must print the following (your output should match ours):
1 2Items in all three dinners: Cranberry, Turkey Items in exactly one dinner: Marshmallows, Potatoes, Stuffing, Turducken
Answer of This Question
To find the items that are in the menu for all three dinners and the items that are in the menu for exactly one dinner, you can use set operations. Here’s the code to achieve that:
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Explanation:
-
The sets
t1,t2, andt3are defined with the given menu items for each Thanksgiving dinner. -
To find the items that are in the menu for all three dinners, we use the
intersection()method. It returns a new set containing the common elements from all the sets. We passt1,t2, andt3as arguments tointersection(), which gives us the items that are present in all three sets. -
We print the common items using
print(). Thesorted()function is used to sort the items in alphabetical order, and', '.join()is used to join the items into a comma-separated string. -
To find the items that are in the menu for exactly one dinner, we use the following set operations:
t1 ^ t2 ^ t3performs the symmetric difference (XOR) operation on all three sets. It gives us the items that are in exactly one of the sets.(t1 & t2),(t1 & t3), and(t2 & t3)perform the intersection operation on pairs of sets. These give us the items that are common between each pair of sets.- We subtract the common items between pairs of sets from the result of the symmetric difference operation. This gives us the items that are in exactly one dinner.
-
Finally, we print the unique items using
print(), again sorting them in alphabetical order and joining them into a comma-separated string.
The output will be:
|
|
This code finds and prints the items that are in the menu for all three dinners and the items that are in the menu for exactly one dinner, in alphabetical order.
Algorithm Running Times
What are the running times of the following algorithms:
(a) membership test in a list (
list.index(value))(b) membership test in a set (
value in set)(c) nested for loops over an entire list
Answer of Part A
The running time of the membership test in a list using list.index(value) is O(n), where n is the number of elements in the list.
Explanation:
- The
list.index(value)method searches for the first occurrence of the specified value in the list. - In the worst case, the value may be located at the end of the list or not present in the list at all.
- The method needs to traverse the list from the beginning until it finds the value or reaches the end of the list.
- As the size of the list grows, the number of elements to be searched increases linearly.
- Therefore, the running time of
list.index(value)is proportional to the size of the list, resulting in a time complexity of O(n).
Answer of Part B
The running time of the membership test in a set using value in set is O(1) on average.
Explanation:
- Sets in Python are implemented using hash tables.
- The
value in setoperation checks if the specified value exists in the set. - In a hash table, elements are stored based on their hash values, which allows for efficient retrieval.
- On average, the time complexity of searching for an element in a hash table is O(1), constant time.
- This is because the hash function used by the set distributes the elements uniformly across the hash table, minimizing collisions.
- Even if there are collisions, the number of elements in each “bucket” of the hash table is expected to be small, resulting in a constant-time lookup on average.
- Therefore, the running time of
value in setis O(1) on average, regardless of the size of the set.
Answer of Part C
The running time of nested for loops over an entire list is O(n^2), where n is the number of elements in the list.
Explanation:
- When you have nested for loops iterating over the same list, the total number of iterations is the product of the number of iterations in each loop.
- If the list has n elements, the outer loop will iterate n times.
- For each iteration of the outer loop, the inner loop will also iterate n times.
- Therefore, the total number of iterations is n * n = n^2.
- As the size of the list grows, the number of iterations increases quadratically.
- The running time of nested for loops over an entire list is proportional to the square of the size of the list, resulting in a time complexity of O(n^2).
- This indicates that the running time grows rapidly as the size of the list increases, making it less efficient for large lists compared to algorithms with lower time complexities.
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