9 2 5 7 1 2 1 9 3 2 1 7 6 Heuristics: Node 1 = 6 Node 2 = 4 Node 3 = 1 Node 4 = 0 Node 5 = 14 Node 6 = 10 Node 7 = 15 Node 8 = 15 Node 9 = 10 8 6 5 1 7 (1) Is the heuristic in problem 1 admissible? Is it consistent? (2) Suppose you had two heuristics. The first heuristic, h, is admissible and consistent. The second, h2, is admissible but not consistent. Prove or disprove whether a new heuristic defined as: h3 = min(h,h2), is admissible and/or consistent