14. Homes for pets. You run a shelter for rescued animals, and are trying out a new bidding system. From your current catalog of n animals, a number of customers have each specified the 3 they like best, and agreed to provide a home for exactly one of the 3 (you get to choose which!). Your task is to give a polynomial-time algorithm that will assign homes to as many animals as possible. Hint. Reduce this problem to one of the ones we studied in class 14. Homes for pets. You run a shelter for rescued animals, and are trying out a new bidding system. From your current catalog of n animals, a number of customers have each specified the 3 they like best, and agreed to provide a home for exactly one of the 3 (you get to choose which!). Your task is to give a polynomial-time algorithm that will assign homes to as many animals as possible. Hint. Reduce this problem to one of the ones we studied in class