On the questioner’s planet, every alien is either a Crick or a Goop. A Crick can only ask questions whose answer is “yes,” while a Goop can only ask questions whose answer is “no.”
An alien stands on each cell of a \(4\times 4\) chessboard. Every alien asks the same question:
“Do I have an equal number of Cricks and Goops among my neighbours?”
(Here, a neighbour means any alien on a horizontally or vertically adjacent cell.)
How many Cricks and how many Goops could be on the chessboard?