Was Billy Elliot written by melvin Burgess or Lee hall?

i am really confused because on the book it says melvin burgess but on wikipedia it says Lee hall?Was Billy Elliot written by melvin Burgess or Lee hall?
Lee Hall wrote the screenplay for the movie

http://www.imdb.com/title/tt0249462/



AFTER the movie, Melvin Burgess was asked to write a novel based on Hall's play

".author Melvin Burgess was commissioned to write the novelisation of the film based on Lee Hall's screenplay."

http://en.wikipedia.org/wiki/Billy_Ellio鈥?/a>

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