The max subsequence product problem for an array a a1a2an, Data Structure & Algorithms

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The max subsequence product problem for an array a a1a2an

Question: The max subsequence product problem for an array a = a1,a2,...,an of integers is the problem of determining the largest product E(summation)k=1(bottom) j(top) ak formed by a subsequence of a.

Suppose that all elements of a are nonzero, explain in words a linear-time algorithm for finding the maximum subsequence product.

Describe why your algorithm is right, and why it has linear running time - This one is complex and I don't know how to do it

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Data Structure & Algorithms: The max subsequence product problem for an array a a1a2an

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