Candy for Everyone

Several students are sitting in a circle. Each student has an even

(though not necessarily the same) number of wrapped pieces of candy.

On a signal, each student passes half of his or her trove to the student

on his or her right. Between signals, the teacher (reaching into an

inexhaustible goody bag) gives any student left with an odd number of

candies an extra piece to make the number even before repeating the

maneuver.