In this interview, you'll encounter a thought-provoking problem involving moving entities on a finite linear space, designed to test your understanding of motion and interaction principles. You'll need to determine the maximum time required for several agents to vacate a confined area, given their initial distribution and behavior dynamics upon encountering one another. Your task is to employ analytical reasoning to simplify the scenario, taking into account the constraints and symmetries of the problem. If you find yourself needing guidance, feel free to ask for hints. Once you've arrived at a solution, you’ll have an opportunity to discuss your approach and the rationale behind your conclusion.

Optiver: Moving Ants

Analyze movements of ants on a stick