IMO Shortlist 2016 problem C5


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 8,0
Dodao/la: arhiva
3. listopada 2019.
LaTeX PDF

Let n \geq 3 be a positive integer. Find the maximum number of diagonals in a regular n-gon one can select, so that any two of them do not intersect in the interior or they are perpendicular to each other.

Izvor: https://www.imo-official.org/problems/IMO2016SL.pdf