Eh, the trading salesmal problem is more like the Collatz conjecture: it looks simple but there's a lot of complexity hiding under the surface, and it requires some expertise to truly understand why it's really hard. So then we're talking about the opposite problem.
Note that your informal description did not match the TSP since there's no reason to disallow backtracking or visiting the same place twice.
Note that your informal description did not match the TSP since there's no reason to disallow backtracking or visiting the same place twice.