For the following relation schema and set of FD's:
R(A,B,C,D) with FD's B → C and B → D, do the following:
(a) Indicate all the BCNF violations. Do not forget to consider FD's that are not in the given set, but follow from them. However, it is not necessary to give violations that have more than one attribute on the right side.
(b) Decompose the relation, as necessary, into a collection of relations that are in BCNF.