Five books of five different colors are placed on a shelf. the goldgold book is placed between the orangeorange and pinkpink ​books, and these three books are consecutive. the graygray book is not leftmost on the shelf and the pinkpink book is not rightmost on the shelf. the brownbrown book is separated from the pinkpink book by two books. if the graygray book is not next to the brownbrown ​book, what is the complete ordering of the​ books?