Točka
i
su povezane ako je
dijeljivo s
. Koliko točaka moramo nasumično odabrati da bi mogli biti sigurni da neke četiri odabrane točke čine ciklus?
The point
and
are connected if
is divisible by
. How many points must we randomly select to be sure that some four selected points form a cycle?
[lang = hr]
Točka $A(x_1,y_1)$ i $B(x_2,y_2)$ su povezane ako je $(x_1-x_2)(y_1-y_2)$ dijeljivo s $8$. Koliko točaka moramo nasumično odabrati da bi mogli biti sigurni da neke četiri odabrane točke čine ciklus?
[/lang]
[lang = en]
The point $A(x_1,y_1)$ and $B(x_2,y_2)$ are connected if $(x_1-x_2)(y_1-y_2)$ is divisible by $8$. How many points must we randomly select to be sure that some four selected points form a cycle?
[/lang]