Question 58
On a circle, there are $n$ points. Each of them is labelled with a real number at most $1$ such that each number is the absolute value of the difference of the two numbers immediately preceding it in clockwise order.
Determine the maximal possible value of the sum of all numbers as a function of $n$.
(Walther Janous)
Determine the maximal possible value of the sum of all numbers as a function of $n$.
(Walther Janous)