Using the water jug problem, demonstrate how the hill climbing heuristic can lead to incorrect solutions
What will be an ideal response?
Answer: The water jug problem has three jugs of differing sizes (8, 5, and 3 ounces). The large jug is full. You need to transfer water between the jugs to reach a goal state of 4 ounces of water in the large and medium jugs. When you pour water into a jug you must fill the jug. With the hill climbing heuristic, each move most closely resembles the goal state. In the water jug problem, this would mean filling the medium jug, giving you 3 ounces in the large jug and 5 ounces in the medium jug. If you make this move, however, your next move cannot get you closer to the goal state.
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