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Suppose you are given a relation R(A,B,C,D) with functional dependencies B-C and DA. State whether the decomposition of R to S1(B,C) and S2(A,D) is lossless

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Suppose you are given a relation R(A,B,C,D) with functional dependencies B-C and DA. State whether the decomposition of R to S1(B,C) and S2(A,D) is lossless or dependency preserving and briefly explain why or why not

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