CSE 551: Foundations of Algorithms - Module 1 Practice Quiz. Score 9 out of 9. Fall 2022

downloaded from

Scholarfriends

https://scholarfriends.com Downloaded by: writerforacademic@gmail.com | https://scholarfriends.com/singlePaper/315519/cse-551-foundations-of-algorithms-arizonastate-university-module-1-practice-quiz-score-9-out-of Distribution of this document is illegal.

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

Module 1 Practice Quiz Due No due date Time Limit None

Points 9 Questions 9 Allowed Attempts Unlimited

Take the Quiz Again

Attempt History LATEST

Attempt

Time

Score

Attempt 1

74 minutes

9 out of 9

Submitted Aug 29, 2021 at 3:41pm

1 / 1 pts

Question 1

Given the following preference lists of 3 males and 3 females, identify a stable matching produced by the execution of the propose-and-reject algorithm.

Males

1st

2nd

3rd

Alex

Becky

Alicia

Carey

Brad

Carey

Alicia

Becky

Chad

Carey

Becky

Alicia

Females

1st

2nd

3rd

Alicia

Brad

Alex

Chad

Becky

Chad

Brad

Alex

Carey

Chad

Alex

Brad

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

1/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

(Chad,Alicia),(Alex,Becky),(Brad,Carey) (Alex,Becky),(Brad,Carey),(Chad,Alicia) (Alex,Alicia),(Brad,Carey),(Chad,Becky) Correct!

(Alex,Becky),(Brad,Alicia),(Chad,Carey)

1 / 1 pts

Question 2

Regarding the propose-and-reject algorithm, given a set of men and women, suppose men propose to women in a random order of preference.

What would be the result?

Correct!

The algorithm would no longer be guaranteed to generate a stable matching.

The result would be a stable matching that is no longer guaranteed to be male-optimal.

The algorithm would no longer be guaranteed to terminate after iterations of the while loop.

1 / 1 pts

Question 3

Given a stable matching, if a male and a female are matched, then identify which of the following must be necessarily true. i.)

prefers

above all other females.

ii.)

is a valid partner for .

iii.)

prefers

above all other males.

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

2/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

i. and ii. only ii. and iii. only Correct!

ii. only iii. only

1 / 1 pts

Question 4 Consider the following preference lists: Males

1st

2nd

Brad

Carey

Becky

Chad

Carey

Becky

Females

1st

2nd

Becky

Brad

Chad

Carey

Chad

Brad

Select from the following list of pairs, which pair could exist in a stable matching.

Chad,Becky Correct!

Chad,Carey No stable matching is possible for this instance.

Brad,Carey

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

3/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

1 / 1 pts

Question 5 Which of the following is a possible result of an instance of stable matching given men and women after the propose-and-reject algorithm is applied? i.

After

iterations, the number of women matched is less

than . ii.

All women are matched with their first choices on their respective

preference lists. iii.

The algorithm will fail to return a stable matching.

i. and iii. only i., ii., and iii.

Correct!

i. and ii. only i. only

Question 6

1 / 1 pts

Given on instance of the stable roommates problem seen in lecture with participants, how many possible proposals can there be at most for any given instance? (Hint: Can one propose to oneself?)

Correct!

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

4/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

1 / 1 pts

Question 7

Given the following preference lists, how many stable matchings exist for this particular instance?

Correct!

Males

1st

2nd

Alex

Alicia

Becky

Brad

Becky

Alicia

Females

1st

2nd

Alicia

Brad

Alex

Becky

Brad

Alex

1 0 2 4

1 / 1 pts

Question 8

Which of the following describes why finding a stable matching is desirable with respect to the stable marriage problem and the propose-and-reject algorithm? (Given sets of

men and

women)

Correct!

If a matching is unstable, then men and women who prefer each other to their current partners will never get married.

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

5/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

Given an unstable matching, we cannot guarantee it is also a perfect matching.

Finding a stable matching allows us to limit the number of proposals to

.

1 / 1 pts

Question 9

Consider the following matching on preference lists, where * indicates a match: Males

1st

2nd

Brad

Becky*

Carey

Chad

Carey*

Becky

Females

1st

2nd

Becky

Chad

Brad*

Carey

Brad

Chad*

How many unstable pairs are present in the matching indicated by the asterisks?

4 1 Correct!

0 2

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/

6/7

19/01/2022, 21:26

Module 1 Practice Quiz: CSE 551: Foundations of Algorithms (2021 Fall)

This study source was downloaded by 100000861003072 from CourseHero.com on 05-01-2023 02:47:53 GMT -05:00 https://asu.instructure.com/courses/95943/quizzes/695442?module_item_id=6315379 https://www.coursehero.com/file/196860756/Module-1-Practice-Quiz-CSE-551-Foundations-of-Algorithms-2021-Fallpdf/ Powered by TCPDF (www.tcpdf.org)

7/7