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Matching in college admission [8 points] Here is a matching problem between 5 students and 3 colleges. Colleges 1 and 2 each have 2 seats

Matching in college admission [8 points]

Here is a matching problem between 5 students and 3 colleges. Colleges 1 and 2 each have 2 seats, and college 3 has 1 seat only. The following matrix describes the preferences of both sides. ("" means "unacceptable".)

(i) [4 points] If we apply the student-proposing deferred acceptance (DA) algorithm, which students will college 2 admit? c1(2)

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