CN-TST 2021 Problem 22

Suppose $x_1,x_2,...,x_{60}\in [-1,1]$ , find the maximum of $\sum_{i=1}^{60}x_i^2(x_{i+1}-x_{i-1}),$ where $x_{i+60}=x_i$ .

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.