Delta-K,  Problem Solving,  Volume 54, Issue 1

The Pirates and the Diamond

Delta-K

Journal of the Mathematics Council of the Alberta Teachers’ Association

Volume 54 Issue 1, June 2017

8 to 8

The Pirates and the Diamond

Peter Liljedahl

A band of 10 pirates is going to disband. They have divided
up all of their gold, but there remains one gian t diamond that
cannot be divided. To decide who gets it, the captain puts all
of the pirates (incl uding himself) in a circle. Then he points
at one person to begin. This person steps out of the circle,
takes his gold and leaves . The person on his left stays in the
circle, but the next person steps out. This continues with every
second pirate leaving until there is only one left.