Let $F$ be the set of functional dependencies on relation schema $,$

D$,$ E$,$ F$,$ G$).$

$F=(D$EFG,$GC,DA,GAB,BC,$

$DB>FG\}$

a$.(15$ pts$.)$ Find the canonical cover of $F.$

b$.(20$ pts$.)$ Give a dependency preserving lossless$-$Join decomposition of $R$ into

BCNF$.$ Assume that R is already In $1NF.$

Show all of your steps clearly to get full score.