There are \(n\) people sitting equally spaced around a circle.

The people are numbered in order around the circle from 1 up to \(n\).

Person \(31\) notices that person \(7\) and person \(14\) are the same distance from him.

How many people are sitting around the circle?

 

\( 42\)\( 41\)\( 40\)\( 39\)\( 38\)