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Consider a relation R with five attributes ABCDE. The following dependencies are given: A B, BC E, DE A. 1. List all keys for R;

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Consider a relation R with five attributes ABCDE. The following dependencies are given: A B, BC E, DE A. 1. List all keys for R; 2. Is R in 3NF? Briefly explain why; 3. Is R in BCNF? If yes, please explain why. Otherwise, decompose R into relations that are in BCNF

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