Question 165
King Louis was suspicious of some of his courtiers. He made a complete list of all his courtiers and told each of them to spy on one other courtier. The first on the list went to spy on the courtier who was spying on the second on the list, the second on the list went to spy on the courtier who was spying on the third on the list, and so on, the second-to-last went to spy on the courtier who was spying on the last one, and the last one went to spy on the courtier who was spying on the first. Verify that King Louis had an odd number of courtiers.