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Decompose the table with the following description and functional dependencies into a set of equivalent tables normalized to 3NF or BCNF.
This database stores records from a (very organized) Crazy Cat Person. It contains vital statistics and visual identifying information about the cats. It also contains information about the cats' vet(s) and any supplements or medications shehas prescribed. It only tracks current medications and supplements.
Data:
catName: the name of a cat catBirth: the cat's date of birth, or an estimate thereof catAdoption: the cat's date of adoption by the Crazy Cat Person color: the main color of the cat's fur furPattern: the pattern of the cat's fur (i.e. "striped") furType: the type of the cat's fur (long or short) vetName: the name of the vet who cares for the cat and prescribes supplements or medications office: the name of the vet's office address: the address of the vet's office phone: the vet's phone number supplement: the name of a prescribed supplement or medication dose: the prescribed unit dosage of a supplement/medication sig:the dosing recommendations, i.e. how many of the unit doses, how often, and by what route is the supplement/medication to be given
Functional dependencies:
catName → catBirth, catAdoption, color, furPattern, furType vetName → office, address, phone supplement, catName → dose, sig, vetName
Compute the closure (F+) for the following set of the functional dependencies defined on R(a,b,c,d), where F - {c→ a, ab → d, a → b, d → c}, i.e. what are all of the FDs implied b
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