{"schema":"vela.problem-packet.v0.1","problem":608,"statement":"Let $G$ be a graph with $n$ vertices and $&#62;n^2/4$ many edges. Are there at least $\\frac{2}{9}n^2$ edges of $G$ which are contained in a $C_5$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}