Patio blocks that are hexagons $$1$$ unit on a side are used to outline a garden by placing the blocks edge to edge with $$n$$ on each side. The diagram indicates the path of blocks around the garden when $$n=5$$.

If $$n=202$$, then the area of the garden enclosed by the path, not including the path itself, is $$m\left(\sqrt3/2\right)$$ square units, where $$m$$ is a positive integer. Find the remainder when $$m$$ is divided by $$1000$$.

(第二十届AIME2 2002 第4题)