IMO Shortlist 2012 problem C3


Kvaliteta:
  Avg: 0.0
Težina:
  Avg: 7.0
Dodao/la: arhiva
Nov. 3, 2013
LaTeX PDF
In a 999 \times 999 square table some cells are white and the remaining ones are red. Let T be the number of triples (C_1,C_2,C_3) of cells, the first two in the same row and the last two in the same column, with C_1,C_3 white and C_2 red. Find the maximum value T can attain.
Source: Međunarodna matematička olimpijada, shortlist 2012