Assigned questions for each question in this assignment, we will be using the following predicates. Each Netflix user's viewing history can be represented as a n-tuple indicating their preferences about movies in the database, where n is the number of movies in the database. Each element in the n-tuple indicates the user's rating of the corresponding movie: 1 indicates the person liked the movie, 1 that they didn't, and 0 that they didn't rate it one way or another. Consider a four movie database. We denote the set of possible ratings {-1,0, 1} {-1,0,1} *{-1,0,1} x {-1,0,1} as R4. We have the function 11,4 : R4 x R4 N where d1,4( (X1, X2, X3, X4), (41, 42, Yz, y4) ) = max (Xi yi|| 1