Let S = (a1a2,...an) be a sequence of integers. Design an algorithm to find the subsequence SM = (ai,ai+1,...,aj) of S, with consecutive elements, such that the sum of the numbers in SM is maximum over all subsequences of S. Note that the sum is assumed to be 0 if the subsequence is empty. Your algorithm should run in O(n) time.

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Basic operations

A computer is an electronic machine that processes data by performing operations on it. Computer operations are actions performed by the computer to complete a given task. A computer can take input, store values/ information, process information and produce output.