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This is the context:

The traveling salesman problem must be seen as a limitation of the human ability to know. There is no way that one can possibly know the shortest route to take in a reasonably sized problem.

Can anyone tell me what's the meaning of taking in? does it mean like understanding or comprehending the problem?

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    If I add a comma to the sentence you will see "take" and "in" are separated. "There is no way that one can possibly know the shortest route to take, in a reasonably sized problem." This is about the difficulty in solving a classic computing problem.
    – Weather Vane
    Commented Apr 17, 2019 at 20:19

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It is not take in. It is the shortest route to take and in a reasonably sized problem as separate phrases. The Travelling Salesmen Problem is about finding the shortest route to take, and the statement is saying that, where you have a reasonably sized instance of the problem, no person can know the shortest route.

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