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Consider the following relational scheme: R (a,b,c,d,e,f) and its corresponding set of FDs {d→a, be→c, ac→e, b→f, f→d, a→c}.
a. Is the following decomposition i) non-loss, ii) dependency preserving, iii) free of interrelational join constraints?
R1 (a,f,d), R2 (b,a,f), R3 (a,c,e)
b. Apply the BCNF decomposition on R
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