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Consider a modified version of the vacuum environment in Exercise vacuum-start-exercise, in which the agent is penalized one point for each movement.

  1. Can a simple reflex agent be perfectly rational for this environment? Explain.

  2. What about a reflex agent with state? Design such an agent.

  3. How do your answers to 1 and 2 change if the agent’s percepts give it the clean/dirty status of every square in the environment?