Apply policy iteration, showing each step in full, to determine the optimal policy when the initial policy is ?(cool) = Slow and ?(warm) = Fast. Show both the policy evaluation and policy improvement steps clearly until convergence.

Slow 1.0 +1 Cool 0.5 Slow 0.5 Fast 0.5 +2 +1 Warm 0.5 +2 Fast 1.0 -10 Overheated