You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.

Input: Consider Input: Category: HOTELS 
Clue: We'll tell you "diplomatically" that this L.A. hotel was the home of the Coconut Grove nightclub

Output: the ambassador hotel


Input: Consider Input: Category: MATHEMATICS 
Clue: Term for the side of a right triangle that is opposite the 90° angle

Output: hypoteneuse


Input: Consider Input: Category: HISTORIC PEOPLE 
Clue: Originally named Temujin, this founder of the Mongol Empire took a title which means "universal monarch"


Output: genghis khan