Question 35
On the coordinate lines points with coordinates $1, 2, \ldots, 2n$ are marked, where $n \gt 3$ is a given integer. A flee starts jumping from the point with coordinate $1$ and after $2n$ jumps returns there having visited all marked points. It is known that the total length of all jumps except the last one is $n(2n - 1)$. Find the length of the last flee's jump.