Question: Maximum partial sum in linear time. Suppose you are given as input a list of integers (a1,a2,...,am). Your goal is to find the largest partial

Maximum partial sum in linear time. Suppose you are given as

Maximum partial sum in linear time. Suppose you are given as input a list of integers (a1,a2,...,am). Your goal is to find the largest partial sum of these numbers, of the form for some s,t E 11,2,...,n] with s 3 t. Use dynamic programming to design a linear-time algorithm for this problem. Prove that your algorithm is correct and that its running time is O(n

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