Problem Description In this problem we will consider a version of the problem for professors and students and their fully ordered list of preferences. Please read through this document and the documentation in the starter code thoroughly before beginning The Stable Matching Problem, as discussed in the text, assumes that all men and women have a fully ordered list of preferences. Disparuti fara urma serial online subtitrat in romana.

In this problem we will consider a version of the problem for professors and students and their fully ordered list of preferences. Note that ties in preference lists are not allowed. As before we have a set P of n professors and a set S of n students. Assume each professor and each student ranks the members of the opposite group.

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Part 1: Implement a Brute Force Solution [30 points A brute force solution to this problem involves generating all possible permutations of men and women, and checking whether each one is a stable matching, until a stable matching is found. For this assignment, you are provided with Preferences.java class which includes the necessarry input structures for the problem. Please see the comments in Preferences.java file for details.

You are also given Assignment1.java file where you will put your implementation for this part under stableMatchBruteForce) function which returns ArrayList. This ArrayList should contain information for matching information representing the index of student matched with a professor, -1 is not matched. For example, if ith element of the returned ArrayList is j, than professor i is matched with student j. There might be a stable matching which is neither professor nor student optimal. This is because in a brute force, you are trying to find all possible stable matches.

Part 2: Implement Gale-Shapley Algorithm [40 points In order to solve this matching problem more efficiently, you need to implement Gale-Shapley Al gorithm and give a solution for Professors Optimal Matching. For implementation, we provide you with again with Preferences.java and you will put your implementation to Assignment1.java file under stableMatchGaleShapley). This algorithm is discussed in the class, so you can use

Gale Shapley Java Program - Cleverblast

Now, I want to make sure that the matchings are as ideal as possible. This can be done by using the Gale-Shapley Algorithm. I have two questions: Suppose that m0 and m1 both have w0 as their first pick. Then, we'll have to look at w0's preferences: suppose that m0 is ranked higher, then (m0,w0) is a (temporary) matching. What should I do next? Nov 04, 2013 Gale-Shapley. Gale-Shapley stable matching algorithm implemented in Java. Input: a text file that defines the preference list of each man and woman, where there are n number of men and n number of women. Each person lists n people in their pref list.