In a volleyball tournament, each team played every other team exactly once; there were no draws. It is known that whichever team we choose (denote it by \(K\)), it has won exactly as many matches as the total number of wins by all the teams that \(K\) defeated. What can be the number of teams that participated in this tournament? (In any tournament there are at least \(2\) teams.)

Volejbola turnīrā katra komanda spēlēja ar katru tieši vienu reizi; neizšķirtu nav. Ir zināms: lai kuru komandu mēs izvēlētos (apzīmēsim to ar \(K\)), tā ir izcīnījusi tieši tikpat uzvaru, cik kopā izcīnījušas visas tās komandas, pret kurām \(K\) uzvarēja. Kāds var būt komandu skaits, kas piedalījās šajā turnīrā? (Nevienā turnīrā nav mazāk kā \(2\) komandas.)