Compute a minimal basis for the following sets of FDs. NOTE: some problems may have additional correct solutions besides the ones given here. There are bonus marks available if you find and report one I didn't know about. Problem 1: A H -> E F C -> B G H C D E -> A B H C D H -> A E G -> A C E Problem 2: A -> C E B C -> D H B C H -> A E B G -> D F -> B D Problem 3: A -> B H B D -> F H D -> B H D H -> G H -> E Problem 4: A -> F C -> F F G -> A D G -> E F H -> B Problem 5: A -> G H A B -> E A B G -> E F H C D -> A E F H -> B C D Problem 6: B -> A D E F H B E -> D G H F -> B E Problem 7: A C G -> D E H D -> C H D F H -> A E H -> B H -> F Problem 8: D -> E D E H -> F G D H -> B E -> C H E F -> A C Problem 9: B F -> E G H E -> A H E F H -> A G -> A E H Problem 10: A C D -> E D -> E H D E G -> B E -> D F F -> D G H