Question: Develop a dynamic programming algorithm that given a sequence a 1 , , a n of real numbers, finds a subsequence a s, ,a t

Develop a dynamic programming algorithm that given a sequence a₁,, a_nof real numbers, finds a subsequence a_s,,a_tof consecutive elements of a so that the sum is maximized. If a_i< 0 for all i, we define the maximum sum to be zero, which is obtained by selecting the empty subsequence.

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