## 107.

On another island of knights, liars, and normal people, the king held opposite views and gave his daughter different paternal advice: “My dear, I don’t want you to marry any knight or liar. I would like your husband to be a solid, reputable normal person. You should not marry a knight because all knights are hypocrites. You should not marry a liar either because all liars are treacherous. No, no matter what, a decent normal person would be just right for you!”

Suppose you are a resident of this island and a normal person. Your task is to convince the king that you are a normal person.
a) How many true statements will you need for this?

b) How many false statements will you need for the same purpose?

(In both cases, we are talking about the minimum number of statements.)
107. In both cases, a single statement would suffice. The King could be convinced by the true statement “I am not a knight” (such a statement could not belong to either a knight or a liar) and the false statement “I am a liar.”