$PSacfc$ is a student majors in $Communication \ Engineering$, and $Wireless \ Mobile \ System$ is his favorite course.
One day, when the teacher talked about $Cellular \ Mobile \ Communication$, he thought of a problem. Given $n$ regular hexagons, find the minimum number of sides exposed. A side of a regular hexagon exposed means no other hexagons' sides coincided with it. One side can be coincided with no more than one another.
For example, the first situation has $3$ hexagons with $12$ sides exposed, and the second situation has $3$ hexagons with $14$ sides exposed.
Your task is to find the minimum number of sides exposed with $n$ regular hexagons.