For the table BOOKAUTHOR below you are given the following functional dependencies.

BOOKAUTHOR $($ISBN$,$ BookTitle, Author$\_$Num, LastName, Publisher, Royalty, Edition$)$

Functional dependencies:

ISBN $->$ BookTitle, Publisher, Edition

Author$\_$Num $->$ LastName

BookTitle $->$ Publisher

$\{$ISBN$,$ Author$\_$Num$\}->$ BookTitle, LastName, Publisher, Royalty, Edition

Write the types of functional dependencies shown in $(1)$ to $(4)$ above.

Also, decompose the table to the third normal from $(3$NF$).$