A right circular cone has base radius $$r$$ and height $$h$$. The cone lies on its side on a flat table. As the cone rolls on the surface of the table without slipping, the point where the cone's base meets the table traces a circular arc centered at the point where the vertex touches the table. The cone first returns to its original position on the table after making $$17$$ complete rotations. The value of $$h/r$$ can be written in the form $$m\sqrt {n}$$, where $$m$$ and $$n$$ are positive integers and $$n$$ is not divisible by the square of any prime. Find $$m + n$$.

(第二十六届AIME1 2008 第5题)