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.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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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