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MathNet 2022-part-03 — 197 problems (EN–VI) Question 176

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 176

In an apartment building with floors $0$ up to and including $10$, there is one person living on each floor. Each morning, everyone in the building must go to floor $0$ to go outside. Everyone is willing to walk the stairs for at most three floors. There can be at most four people in the lift at the same time. The lift starts at floor $0$.
At least how many floors must the lift move to get everyone outside? Movements up and movements down are both counted.