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ITOT 44 Autumn 2022 · THPT · O (Basic) Question 3

ITOT · ITOT 44 Autumn 2022 · THPT · O (Basic)

Question 3

On a line, 2022 equally spaced points are colored, half blue and half red. Can the sum of the lengths of all segments with blue left endpoint and red right endpoint equal the sum for red left endpoint and blue right endpoint? Endpoints need not be adjacent.

Question illustration