Question 3
A3 (UKR). Let $n$ be an integer, $n\ge3$. Let $a_1,a_2,\ldots,a_n$ be real numbers such that $2\le a_i\le3$ for $i=1,2,\ldots,n$. If $s=a_1+a_2+\cdots+a_n$, prove that
$$\frac{a_1^2+a_2^2-a_3^2}{a_1+a_2-a_3}+\frac{a_2^2+a_3^2-a_4^2}{a_2+a_3-a_4}+\cdots+\frac{a_n^2+a_1^2-a_2^2}{a_n+a_1-a_2}\le2s-2n.$$
$$\frac{a_1^2+a_2^2-a_3^2}{a_1+a_2-a_3}+\frac{a_2^2+a_3^2-a_4^2}{a_2+a_3-a_4}+\cdots+\frac{a_n^2+a_1^2-a_2^2}{a_n+a_1-a_2}\le2s-2n.$$