The cartesian product $$A \times A$$ has 9 elements among which are found $$(-1,0)$$ and $$(0,1)$$, then set $$A$$ is equal to

If $$S=\{(a, b): b=|a-1|, a \in Z$$ and $$|a|<3\}$$, where $$Z$$ denotes the set of integers. Then, the range set of $$S$$ is