Question 147
Consider a nonzero natural number $n$, a circle of length $6n$ and $3n$ points that divide the circle into $3n$ small arcs, such that $n$ of these arcs have length $1$, another $n$ of these arcs have length $2$, and the remaining $n$ arcs have length $3$.
Show that among the considered points there are two that are diametrically opposite.
Show that among the considered points there are two that are diametrically opposite.