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

Output: hypoteneuse


Input: Consider Input: Category: TRAVEL U.S.A. 
Clue: Caligula would love the Caligula Suite in the Emperors Complex of this Las Vegas hotel

Output: caesars palace


Input: Consider Input: Category: NOTABLE NAMES 
Clue: St. Leo I, St. Gregory I & St. Nicholas I were the only popes to share this epithet


Output: "the great"