MathDB

2

Part of 2024 Canada National Olympiad

Problems(1)

2024 numbers in a circle

Source: Canada MO 2024/2

3/8/2024
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?
geometryperimeter