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we learnt 2 admissible heuristics (h1 & h2) for the 8-puzzle problem. Propose a 3rd admissible heuristic (h3). Give examples of 4 arbitrary initial state configurations of the puzzle. Calculate the 3 heuristic values for each of the four configurations. Which heuristic seems to be the most dominant among these four? Why? Provide an intuitive reasoning.

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