Consider the following database schema: R(A, B, C, D, E, F, G, H, I) with the set of functional dependencies

{A E, AD BE, AC E, E B, BG F, BE D, BDH E, F A, D H, CD A}

4.1 Find the candidate keys of this schema. Show the details of your work.

4.2 Find a BCNF decomposition of this schema (list both the resulting relations and,

for each relation, also list the corresponding set of functional dependencies). Show the details of your work.