Passing time with Toblerone
You and a friend have time to kill and lots and lots of Toblerone (thanks Santa!) so you have decided to pass the time by playing a lethal game involving chocolate.
The game involves one bar of Toblerone chocolate and some poison. Your friend will paint a single square of chocolate in a Toblerone bar with poison. Because the poison is bright green you will both know which square has been poisoned. For example:
The point of the game is to not eat the poisoned square of chocolate. This means that your friend will have to eat it, but c’est la vie, right?
Each turn you must break off 1 or more squares from one end (either end) of the bar, eat them then pass what’s left to your friend so that he can play his turn. If you are passed the poison square then you have to eat it and you lose. And you die. You can choose to go first or to make your friend go first. What do you choose and how do you break the chocolate so that you don’t die?
Coming up: generalisations to 2D and nD blocks of chocolate…