MathNet 2014 Question 7

Determine all integers $n \geq 2$ for which there exist integers $x_{1}, x_{2}, \ldots, x_{n-1}$ satisfying the condition that if $0 \lt i \lt n$, $0 \lt j \lt n$, $i \neq j$ and $n$ divides $2i + j$, then $x_{i} \lt x_{j}$.