Consider the relation schema $R=\{A,B,C,D\}$ and the of FDs $=\{\{A,B\}C,\{A,C\}B,DC\}.$

I.dentify a BCNF decomposition for R$.$ You need to include the main steps $.$

$2$ There can be several different BCNF decompositions for R$.$ Does there exist any BCNF decomposition that preserves all FDs in $?$ You must either find such a decomposition, and show that it is dependency$-$preserving,

or list all decompositions and show that each of them is not.