$1.$ Given that relation $($R$)$ has the following structure: R$($A$,$ B$,$ C$,$ D$,$ E$)$ with functional dependencies:

$($A$,$B$)->$ C

$($A$,$B$)->$ D

$$ D $->$ E

Using the relational notation format above, modify the relation so that it is in Boyce$-$Codd Normal Form $($BCNF$).$