(3) You're going to go on spring break vacation! Your destination: the island of Knights & Knaves. On this island, there are only two types of native inhabitants; Knights, who always tell the truth, and Knaves, who always lie. For each of the following problems, determine which of the islanders you encounter are Knights and which are Knaves, if possible. If multiple solutions may exist, fully describe each of them. Include a full truth table, and justify and explain your answer. (a) As you are finding a nice spot on the beach to set up a picnic, you are approached by 3 of the native inhabitants. We'll call them Alfred, Batman, and Catwoman. Batman tells you: "we are all knaves." Catwoman tells you: "exactly one of us is a knave." (b) You decide you need a tasty beverage, but on your way you now encounter Poseidon, Quet- zalcoatl, and Rah. Poseidon tells you "we are all knaves." Rah corrects him: "exactly one of us is a knight