Question: Problem 12.23 (Greedy Matching). A greedy algorithm for stable marriage is to process the boys in an arbitrary order, giving each boy their top-choice among

 Problem 12.23 (Greedy Matching). A greedy algorithm for stable marriage is

Problem 12.23 (Greedy Matching). A greedy algorithm for stable marriage is to process the boys in an arbitrary order, giving each boy their top-choice among all available girls at the time the boy's match is made. (a) Prove that every boy will be matched. (b) Give an example to show that the resulting matching may not be stable

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