Consider the schema

R $=($A$,$ B$,$ C$,$ D$,$ E$,$ G$,$ HI$,$ I, J$,$ K$)$

and the set F of functional dependencies:

DE $\backslash$ GHI

IJAACD

EG $-+$ AJK

A $-$ K

C$-$ K

J$-$ EI

List the three candidate keys, and for each candidate key, show why it is a candidate key.