# Great Circles

**Discrete Mathematics**Level 5

Given a sphere, a circle is called a great circle if it is the intersection of the sphere with a plane passing through its center. Five distinct great circles can dissect the sphere into \(n\) regions.

Let \(m\) and \(M\) be the minimum and maximum values of \(n\), respectively. Submit your answer as the concatenation of \(M\) and \(m\).

For example, if you think that \(M=123\), \(m=45\), then your answer is \(12345\).