Magic Value

Raghav is very much interested in puzzles that involves circles. He arranges $n$ positive numbers in a circle, where $n$ is odd. For two numbers to be called adjacent there is a rule. If there is $i$ such that $2 \leq i \leq n$, the elements $x[i−1]$ and $x[i]$ are considered to be adjacent, and $x[n]$ and $x[1]$ are also considered to be adjacent. In one operation, Raghav will be picking a number