IMO Shortlist 1981 problem 3
Dodao/la:
arhiva2. travnja 2012. Find the minimum value of
subject to the constraints
(i)
(ii)
%V0
Find the minimum value of
$$\max(a + b + c, b + c + d, c + d + e, d + e + f, e + f + g)$$
subject to the constraints
(i) $a, b, c, d, e, f, g \geq 0,$
(ii)$a + b + c + d + e + f + g = 1.$
Izvor: Međunarodna matematička olimpijada, shortlist 1981
Školjka 
