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 consistency, answers should be in all lower cased letters.

Category: HOLIDAYS & OBSERVANCES 
Clue: Mexico defeated France at the Battle of Puebla on this date in 1862
fifth of may

Category: THE TITANIC 
Clue: Gates prevented 700 of these passengers from getting up to the main deck, though they didn't stop Leo in the movie
third class

Category: THIS & THAT 
Clue: The section of Highway 9 that runs the length of Manhattan north to south

broadway