Suppose we have a relation schema R(A, B, C, D, E, F, G) and a set of functional dependencies H = {BCD A, BC E, A F, FG, C D, A GA B}. Decompose R into 3NF by using the 3NF synthesis algorithm. Show all steps and argue precisely. Is this decomposition also in BCNF? If so, why. If not, why not? Suppose we have a relation schema R(A, B, C, D, E, F, G) and a set of functional dependencies H = {BCD A, BC E, A F, FG, C D, A GA B}. Decompose R into 3NF by using the 3NF synthesis algorithm. Show all steps and argue precisely. Is this decomposition also in BCNF? If so, why. If not, why not