HMMT 2019 U15

Five people are at a party. Each pair of them are friends, enemies, or frenemies (which is equivalent to being both friends and enemies). It is known that given any three people $A, B, C$ :

• If $A$ and $B$ are friends and $B$ and $C$ are friends, then $A$ and $C$ are friends;
• If $A$ and $B$ are enemies and $B$ and $C$ are enemies, then $A$ and $C$ are friends;
• If $A$ and $B$ are friends and $B$ and $C$ are enemies, then $A$ and $C$ are enemies.

How many possible relationship configurations are there among the five people?