IMO Shortlist 1998 problem N3
Dodao/la:
arhiva2. travnja 2012. Determine the smallest integer
for which one can choose four different numbers
and
from any
distinct integers such that
is divisible by
.
%V0
Determine the smallest integer $n\geq 4$ for which one can choose four different numbers $a,b,c$ and $d$ from any $n$ distinct integers such that $a+b-c-d$ is divisible by $20$.
Izvor: Međunarodna matematička olimpijada, shortlist 1998