<image>Use chess pieces to form the following set of shapes:
 
$$(1)$$ The first shape requires ______ pieces, the second shape requires ______ pieces, and the third shape requires ______ pieces;
$$(2)$$ Based on this pattern, how many pieces are needed to form the $$n$$-th shape (where $$n$$ is a positive integer)?
$$(3)$$ How many pieces are needed to form the $$2016$$-th shape?