Assume h1, h2, and h3 are all admissible heuristic functions. a) Is h4 = h1 + h2 + h3 admissible? Explain. b) Is h5 = (h1 + h2 + h3 ) / 3 admissible? Explain. d) Is h6 = max(h1, h2, h3 ) admissible? Explain. e) Would you prefer h7 = min(h1, h2, h3 ) or h6? Why.

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