There are inhabitants of an island on which there are three kinds of people:
Knights who always tell the truth Knaves who always lie Spies who can either lie or tell the truth. You encounter three people, A, B, and C.
You know one of these people is a knight, one is a knave, and one is a spy.
Each of the three people knows the type of person each of other two is.
For this situation, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy is :
A says"I am the knave," B says "I am the knave," and C says "I am the knave."