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...More can be read about it at: http://en.wikipedia.org/wiki/Water_retention_on_mathematical_surfaces Craig's website for the problem: http://www.knechtmagicsquare.paulscomputing.com/ The solver is mainly based on the theory and ideas from my bachelor thesis, which I wrote at Uppsala University, Sweden, for the Astra Group which does research about Constraint Programming and related technologies: Water Retention on Magic Squares with Constraint-Based Local Search http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-176018 I 'm posting two solvers in this project. One written in C++ which is the fastest, at least for the heavier objective functions, and a Dynadec Comet solver which lets you easily post new constraints along with the Magic-constraints. ...