@ Automatic Jack - There is a strategy you can use to play this game. As it says in the description ("if you think the guards...") then so can it be said "if you think the random movements of the guards allows for no strategy then you missed the point of the game."
This isn't random clicking, virulaceous. There is a similar method to this as there was to loops of zen...work from the outside in. I love this series. :)