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Problem 1. [25 points] Consider a relation R with five attributes ABCDE. You are given the following dependencies: A B, A C, BC E, and

Problem 1. [25 points] Consider a relation R with five attributes ABCDE. You are given the following dependencies: A B, A C, BC E, and ED A. (a) List all candidate keys for R. [10 points]

(b) Is R in BCNF? [5 points]

(c) Is R in 3NF? [5 points]

(d) Is R in 2NF? [5 points]

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