3. (Variable Elimination) Consider the belief network below. (a) [15 points| List the factors that would be created, and the operations used to create them, by running the variable elimination algorithm on this belief network to answer the query P(B|G, E). Use the variable ordering G, E, A, B, C, D, F (b) [15 points] List the factors that would be created, and the operations used to create them, by running the variable elimination algorithm on this belief network to answer the query P(B|G, E). Use the variable ordering G, E, F, D, C, B, A (c) [5 points] Which of the two given variable orderings is more efficient for this query? Justify your