fn(i)=maxa∈A{∑j∈SPa(i,j)∗(Ra(i,j)+fn+1(j))}f_n(i)=\max_{a \in A} \{ \sum_{j \in S} P_a (i,j)* (R_a (i,j)+f_{n+1}(j)) \}fn(i)=a∈Amax{j∈S∑Pa(i,j)∗(Ra(i,j)+fn+1(j))}
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