[QUANTUM MECHANICAL MODEL] You must fill up your hotel keeping the following rules in mind:
1) Hogs are lazy! This means they will fill the 1st floor, followed by the 2nd floor, then the 3rd floor, etc…
2) Hogs can’t stand each other except when rule #1 forces them to
put up with each other. They won’t share a room if there is another room on the same floor of the Hog Hilton that is empty. But they will share a room before they travel up to the next floor.
3) If hogs are in the same room they will face in opposite directions. You can indicate the direction a hog is facing the room by up or down arrows. ↑↓ If you have trouble finding arrows on an electronic copy, you may use <> symbols to indicate direction.
4) They stink, so you can’t put more than two hogs in each room. Only two hogs per room.

Your hotel looks like the diagram below:
6th floor --> --> --> --> -->
5th floor --> --> -->
4th floor -->
3rd floor --> --> -->
2nd floor -->
1st floor -->
Your hotel can hold 28 hogs.