Question: Problem 2. (20 points) Prove or disprove the following: (1) If hi and h2 are admissible heuristics, then h, -(hi+h2)/2 is also admissible. (2) If

Problem 2. (20 points) Prove or disprove the following: (1) If

Problem 2. (20 points) Prove or disprove the following: (1) If hi and h2 are admissible heuristics, then h, -(hi+h2)/2 is also admissible. (2) If the optimal cost from the initial state to a goal is C in some problem, then A* will never expand any node N with f(N) > C if the heuristic is admissible

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