given the relation r$($e$,$f$,$g$,$h$,$i$,$j$)$ and the functional dependencies GI$->$EF and E

$-$

$>$

$$H and I

$-$

$>$

$$J

$,$

$$give a lossless decomposition of r into BCNF

$.$

$$Your answer should list the normalized relations that you will create in place of r

$($

E

$,$

F

$,$

G

$,$

H

$,$

I,J

$)$

$.$

$$New relations should be stated in the form of r

$($

x

$,$

y

$,$

z

$)$

$,$

$$with the primary keys underlined.