1: BCNF and 3NF (3 points) Consider a relation R with five attributes A, B, C, D, and E. You are given the following functional dependencies: A + B, BC-E, and ED_A. (a) List all keys for R. (1 point) (b) Is R in BCNF? If it is not, decompose it into a collection of BCNF relations. (1 point) (c) Is R in 3NF? If it is not, convert it into a collection of 3NF relations. (1 point)