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2024 numbers in a circle

Source: Canada MO 2024/2

March 8, 2024
geometryperimeter

Problem Statement

Jane writes down 20242024 natural numbers around the perimeter of a circle. She wants the 20242024 products of adjacent pairs of numbers to be exactly the set {1!,2!,…,2024!}.\{ 1!, 2!, \ldots, 2024! \}. Can she accomplish this?
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