Each encounter on the map is marked with a stars (from zero to three) to indicate how it was completed. One star is awarded for completing an encounter. Two stars are given for completing an encounter under the Medium difficulty setting while meeting special requirements. Three stars are awarded for finishing the encounter under the Hard difficulty setting with stricter requirements. Once an encounter has been completed under a three star rank, you may longer fight there. Encounters marked with a crown are Boss fights. You must complete them to unlock the next section of the map.