PLease answer this question(both parts) with all necessary steps showing. Thanks!

Part Il: Using rules of inference for propositional logic (20 pt.) There is an island that has two kinds of inhabitants: knights, who always tell the truth, and knaves, who always lie. You encounter two inhabitants of the island, A and B. A says: "At least one of us is a knave." What are A and B? Let p be the statement "A is a knigh and q be the statement "B is a knight." 1. (5 pt.) Assume that A is a knight. Use the rules of inference to determine whether B is a knight or a knave. 2. (5 pt.) Assume that A is a knave. Use the rules of inference to show that this leads to a contradiction