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MathNet 2017-part-01 — 176 problems (EN–VI) Question 105

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 105

There are 2017 unoccupied chairs in a row. Every minute, a person arrives and sits in one of them that is empty and, at the same instant, if it is occupied, a person in a neighboring chair stands up and leaves. What is the maximum number of people that can be seated simultaneously in the row of chairs?