KMO 2012 Problem 7

Let $\{ a_1 , a_2 , \cdots, a_{10} \} = \{ 1, 2, \cdots , 10 \}$ . Find the maximum value of $\sum_{n=1}^{10}(na_n ^2 - n^2 a_n )$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.