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2.2 (5 points): On a stable matching instance, prove that if we run the Gale-Shapley algorithm twice, once with schools proposing and once with students
2.2 (5 points): On a stable matching instance, prove that if we run the Gale-Shapley algorithm twice, once with schools proposing and once with students proposing and we obtain the same matching, then the instance has a unique stable solution
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