OME 2005 Problem 5

Let $r,s,u,v$ be real numbers. Prove that: $min\{r-s^2,s-u^2, u-v^2,v-r^2\}\le \frac{1}{4}$

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.