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How does the presence of a planet affect the stability of its neighboring planetary systems? Use mathematical modelling to explore the gravitational interactions between multiple planets in a system and how these interactions can influence the formation and dynamics of the system over time.
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

<|end_of_thought|>

<|begin_of_solution|>

The answer is 42.

<|end_of_solution|>