Let $$\overline{CH}$$ be an altitude of $$\triangle ABC$$. Let $$R\,$$ and $$S\,$$ be the points where the circles inscribed in the triangles $$ACH\,$$ and $$BCH^{}_{}$$ are tangent to $$\overline{CH}$$. If $$AB = 1995\,$$, $$AC = 1994\,$$, and $$BC = 1993\,$$, then $$RS\,$$ can be expressed as $$m/n\,$$, where $$m\,$$ and $$n\,$$ are relatively prime integers. Find $$m + n\,$$.

(第十一届AIME1993 第15题)