Question 33
Let $a_{1}, a_{2}, \ldots, a_{2000}$ be real numbers in the interval $[0,1]$. Find the maximum possible value of
$$
\sum_{1 \leq i\lt j \leq 2000}(j-i)\left|a_{j}-a_{i}\right|
$$
$$
\sum_{1 \leq i\lt j \leq 2000}(j-i)\left|a_{j}-a_{i}\right|
$$