1. Consider the following set P of men's and women's preferences. Preferences Men Women Preferences A S U V S А В V U T U T V T S В S A D C B C S U C D A U V V A C В (a) Find the stable matching for set P, that would be produced by running the Gale- Shapley algorithm as presented in class, in which the men do the proposing. (b) Set P has k different stable matchings. What is k? If you cannot determine k exactly, give the best upper bound and the best lower bound that you can. Justify your statement.

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