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> purely to compare one algorithm to another, not actually measure literal, real world performance.

Estimating real world performance is the whole point of Big-O notation. Trying to solve the traveling salesman problem on all the stars in the Milky Way is something your PC isn't going to do in your lifetime, for instance.



If you ignore the nonEuclidean effects of general relativity, there are very good polynomial time approximation algorithms.




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