IMO Shortlist 1982 problem 11


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 0,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
(a) Find the rearrangement \{a_1, \dots , a_n\} of \{1, 2, \dots, n\} that maximizes
a_1a_2 + a_2a_3 + \cdots + a_na_1 = Q.

(b) Find the rearrangement that minimizes Q.
Izvor: Međunarodna matematička olimpijada, shortlist 1982