IMO Shortlist 1987 problem 8
Dodao/la: arhiva2. travnja 2012.
. Prove that there exist integers
such that each product
) gives a different residue when divided by
. Prove that for any integers
there must be two products
) that give the same residue when divided by
Proposed by Hungary.
Izvor: Međunarodna matematička olimpijada, shortlist 1987