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Rollout Algorithm for the Quiz Problem) Consider the quiz problem of Exercise 10.28 for the case where the maximum number of questions that can be answered is less or equal to the number of questions that are available. Consider the heuristic which answers questions in decreasing order of pi^Ri/(1 - pi), and use it as a base heuristic in a rollout algorithm. Show that the cost of the rollout algorithm is no worse than the cost of the base heuristic.

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