How to Solve a Cadain Algorithm With a Single Fold Primitive

Cadain's algorithm is alternatively known as the maximum sub array some problem. It basically means if you're given a list of numbers positive and negative it's important that there's some negatives. There are two ways to solve it: dynamic programming or using binary operations. The reason I wanted to know more about the folds in general but also could I solve cadain's algorithm with a single fold primitive?

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