Beautiful Ranges

There are $N$ hills, each having the elevation associated with it. You need to find out the hill range of length $K$ having the maximum beauty. A range can be formed by deleting some of the hills from the array of elevations. A hill range $X$ is more beautiful than another hill range $Y$ (of the same length) if in the first hill where $X$ and $Y$ differ, $X$ has a lower elevation than the $Y