Question: Write a dynamic programming algorithm that, given a sequence a 1 , , a n of numbers, finds a consecutive subsequence a s , ,

Write a dynamic programming algorithm that, given a sequence a₁, , a_n of numbers, finds a consecutive subsequence a_s, , a_t such that the sum is maximum. Note that if ai is negative for all i, we define the maximum sum to be zero, which is obtained by selecting an empty subsequence. What is the complexity of your algorithm?

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