Question: contiguous subsequence of a list S is a subsequence made up of consecutive elements of S . For instance, if S is [ 5 ,

contiguous subsequence of a list S is a subsequence made up of consecutive elements of S. For instance, if S is [5,15,30,10,5,40,10], then 15,30,10 is a contiguous subsequence but 5,15,40 is not. Give an algorithm for the following task:
Input: A list of numbers, a1, a2,..., an.
Output: The maximum sum of a contiguous subsequence (a subsequence of length zero has sum zero). The choice of selecting no elements is allowed.

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