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R=(A, B, E, G, H, I), F={A B, A E, BE A, GHI, IH} a) Find all candidate keys. b) Whether R is in BCNF

R=(A, B, E, G, H, I), F={A B, A E, BE A, GHI, IH} a) Find all candidate keys. b) Whether R is in BCNF or 3NF or neither? c) If it is not in BCNF,decompose R into a set of BCNF relations. d) Whether the decomposition of c) is dependency preserving or not? Why?

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