2: BCNF and 3NF (1.5 points) Consider the relation schema R with attributes A, B, C, and D and the following functional dependencies: ABC, ACB, BD, BC-A. (a) List all keys for R. (0.5 point) (b) Is R in BCNF? If it is not, decompose it into a collection of BCNF relations. (0.5 point) (g) Is R in 3NF? If it is not, convert it into a collection of 3NF relations. (0.5 point)