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Consider the set of attributes r = {abcdef}, and the fd set x = {ab → c, ac → b, ad → e, b → d, bc → a, e → f}. for each of the following decompositions, check if it is dependency-preserving and satisfies the lossless-join property and determine the normal form for each relation:

(a) {ab, bc, abde, ef},
(b) {abc, acde, adf}.

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