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MathNet 2023-part-02 — 191 problems (EN–VI) Question 45

Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)

Question 45

Several numbers are written in a row. Thanima is allowed to choose two adjacent numbers such that the left number is strictly greater than the right number; she then swaps these two numbers and multiplies them by 2. Show that Thanima can only perform a finite number of such operations.