You want to put some fish in a square tank. But these fish fight whenever they are in the same tank. Sadly, you have only 1 tank, but you can put glass panes inside the tank to divide it, not necessarily into equal parts. There are some restrictions.
No 2 fish will be in the same area.
Each fish has to see every other fish (They cannot see each other through corners).
The fish can see only through 1 glass pane(So, Only adjacent fish can see each other ignore case of transparency)
What is the maximum number of fish possible?
Some Diagrams for initial cases [Red represents Fish, Blue represents Glass Panes]:
I came up with this problem while seeing some Siamese fighting fish in my tank.