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2) (6 points): Between any pair of professional wrestlers, there may or may not be a rivalry Suppose we have n professional wrestlers, and we

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2) (6 points): Between any pair of professional wrestlers, there may or may not be a rivalry Suppose we have n professional wrestlers, and we have a list of r pairs of wrestlers for which there are rivalries. We want to designate each wrestler as either a "good guy" or as a "bad guy" so that every rivalry is between a good guy and a bad guy. Give an O(n+r)-time algorithm that determines whether it is possible to designate some of the wrestlers as good guys and the remainder as bad guys so that each rivalry is between a good guy and a bad guy. If it is possible to perform such a designation, your algorithm should produce it. ea god guy and Big Hint: Figure out how to use BFS to solve this problem. Slides 72-90 of Lecture 16, which we never discussed in class but are still in the Lecture, may help you

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