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CS7200: Algorithm Design and Analysis

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WRIGHT STATE UNIVERSITY Department of Computer Science and Engineering CS7200: Algorithm Design and Analysis Fall 2019 Midterm (50 pts) Prasad Write the answers only in the space provided. Use the “blank” sides of each page for scratch work. Be concise, precise and legible. NAME UID EMAIL This study source was downloaded by from CourseH on :38:23 GMT -05:00 1) [Stable Marriage Problem 3 pts + 6 pts + 6 pts] Consider an instance of the stable marriage problem with men M = {m1, m2, m3}, women W = {w1, w2, w3} and the priority lists: m1: w2, w1, w3; m2: w3, w2, w1; m3: w1, w3, w2; w1: m2, m1, m3; w2: m3, m2, m1; w3: m1, m3, m2. (a) How many perfect matchings are possible? (b) Is the following mapping stable? w1-m1, w2-m2, w3-m3 (c) Determine a women-optimal solution if one exists

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WRIGHT STATE UNIVERSITY
Department of Computer Science and Engineering
CS7200: Algorithm Design and Analysis

Fall 2019 Midterm (50 pts) Prasad




Write the answers only in the space provided. Use the “blank” sides of each
page for scratch work.

Be concise, precise and legible.




NAME


UID


EMAIL




This study source was downloaded by 100000899606070 from CourseHero.com on 10-07-2025 01:38:23 GMT -05:00


https://www.coursehero.com/file/80660628/midterm-sample1pdf/

, 1) [Stable Marriage Problem 3 pts + 6 pts + 6 pts]
Consider an instance of the stable marriage problem with men M = {m1, m2,
m3}, women W = {w1, w2, w3} and the priority lists:

m1: w2, w1, w3; m2: w3, w2, w1; m3: w1, w3, w2;

w1: m2, m1, m3; w2: m3, m2, m1; w3: m1, m3, m2.

(a) How many perfect matchings are possible?



(b) Is the following mapping stable?

w1-m1, w2-m2, w3-m3




(c) Determine a women-optimal solution if one exists.




This study source was downloaded by 100000899606070 from CourseHero.com on 10-07-2025 01:38:23 GMT -05:00


https://www.coursehero.com/file/80660628/midterm-sample1pdf/
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