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I just want to know if supercomputers could easily solve the TSMP or would still take a lot of time, as it does now?

rpj
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You must understand that no classical computer in the world nor in the universe will ever solve a large TSMP.

Supercomputer are barely one million times faster than personal computers, this is nothing compared to, say $100!$. A supercomputer would just allow you to add a handful of points for the same running time.