Let $$\mathcal{S}$$ be the set $$\lbrace1,2,3,\ldots,10\rbrace$$ Let $$n$$ be the number of sets of two non-empty disjoint subsets of $$\mathcal{S}$$. (Disjoint sets are defined as sets that have no common elements.) Find the remainder obtained when $$n$$ is divided by $$1000$$.

(第二十届AIME2 2002 第9题)