Bentley’s Treatment of the Maximum Sum Subsequence Problem

I thoroughly enjoyed the treatment given to this problem by Jon Bentley.

In particular, the section on “Principles” was such an exciting read – it shows some of the tricks used in algorithm design :

  • Save state to avoid recomputation
  • Preprocess state into data structures 
  • Divide and conquer algorithms
  • Scanning algorithms
  • Cumulatives 
  • Lower bounds
  • Sorting (my humble addition to the list)

References:

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