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The video recommends using a large population size to initialize with a rich set of solutions. It cites a common guideline of setting the population size to 30 to 60 times the number of cities ($n$).

Conditions: $n$ is the number of cities.; This is a heuristic guideline mentioned in the video, not a theorem proved here.; The context is the genetic-algorithm TSP implementation.

The video recommends using a large population size to initialize with a rich set of solutions. It cites a common guideline of setting the population size to 30 to 60 times the number of cities ($n$).

Conditions: $n$ is the number of cities.; This is a heuristic guideline mentioned in the video, not a theorem proved here.; The context is the genetic-algorithm TSP implementation.