{"schema":"vela.problem-packet.v0.1","problem":1069,"statement":"Given any $n$ points in $\\mathbb{R}^2$, the number of $k$-rich lines (lines which contain $\\geq k$ of the points) is, provided $k\\leq n^{1/2}$,\\[\\ll \\frac{n^2}{k^3}.\\]","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)"}