The inner loop of the cubic maximum subsequence sum algorithm performsN(N+1)(N+2)/6

Chapter 2, Problem 2.34

(choose chapter or problem)

The inner loop of the cubic maximum subsequence sum algorithm performsN(N+1)(N+2)/6 iterations of the innermost code. The quadratic version performsN(N + 1)/2 iterations. The linear version performs N iterations. What pattern isevident? Can you give a combinatoric explanation of this phenomenon?

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