Consider the universal relation R$=($A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ H$,$ I, J$)$ and set of functional dependencies F$=\{$AB$$ C; A$$DE; B$$F; F$$GH; D$$IJ$\}.$ Now answer the following.

If R not in $3$NF$,$ give reasons, and decompose R into to $3$NF$.$ If not in $3$NF$.$

Consider that if R is decomposed into R$1($A$,$ B$,$ C$,$ D$,$ E$)$; R$2($B$,$ F$,$ G$,$ H$)$ and R$3($D$,$ I, J$),$ check whether the decomposition is Lossless, and Dependency preserving.

For each test, both working and final answer are important. Not yes or no answers