2023 OIM Problems/Problem 5
Problem
A sequence of points in the plane (not necessarily distinct) is "carioca" if there exists a permutation of the numbers such that all the segments
have the same length. Find the largest number such that for any sequence of points in the plane, points can be added so that the sequence of 2023 points is carioca.
Solution
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See also
https://sites.google.com/associacaodaobm.org/oim-brasil-2023/pruebas