Vrijeme: 23:17

Problemi i kavezi | Problems and Cages #4

Sada na red dolazi 20 problema iz teorije brojeva. Kod njih je posebno što jako vole aute. Svaki problem posjeduje točno dva automobila različite vrste, a bilo koji par problema posjeduju barem jedan automobil iste vrste. Automobili su jako glasni i smetaju mentorima pa da bi riješili taj izazov, i smjestili probleme iz teorije brojeva u kavez, moraju saznati koliko iznosi najveći broj n tako da uvijek postoji neka vrsta automobila koju posjeduje barem n problema.
Now come the dangerous 20 problems from number theory. They really really really like cars. Each problem owns exactly two cars, each a different brand. Also, any two problems own at least one car of the same brand. These cars are very loud and MNM tutors want to get rid of them and to do that they must find out what is the biggest possible value of n such that there always exists a car brand which at least n problems own.