Consider the following database schema: R(A, B, C, D, E, F, G, H) with the set of functional dependencies { F -> A, AC -> E, E -> B, BG -> F, BE -> D, BDH -> E, D -> H, CD -> A, A -> E, AD -> BE} Produce a BCNF decomposition of this schema (list both the relations and the corresponding set of functional dependencies for each of the relations in the decomposition). Show the full details of your work. Produce a 3NF decomposition of this schema (list both the relations and the corresponding set of functional dependencies). Show the full details of your work.