You arrive in a country whose populations are humans and zombies. Humans always tell the truth, while zombies always lie. However, both humans and zombies can be stable or crazy. If an inhabitant is crazy, she will believe that a truth statement is false, and a false statement is true. Stable inhabitants believe that truth statements are true and false statements are false. Thus stable humans and crazy zombies make only true statements, while crazy humans and stable zombies make only false statements. You meet two people, X and Y. You know that one of them is a human, and the other is a zombie. X tells you: "we are both crazy", while Y tells you that "at least one of us is stable". From this, can you find which one is the zombie?

The "X" person is the zombie

Explanation:

In the description, we were told that zombies always lie thinking it's a true statement and human always say the truth, and they are sure in true.

In general we now know one mostly Make true statement, and one make false statement thinking is true.

The two person being questioned already knows that one of them is crazy. X said we both are crazy, which is a false statement, because we are certain that one of them is crazy, though here he thinks he is right. And Y said "at least one of us is stable", which is a true statement, because we know one of them is meant to be crazy.

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