{"schema":"vela.problem-packet.v0.1","problem":518,"statement":"Is it true that, in any two-colouring of the edges of $K_n$, there exist $\\sqrt{n}$ monochromatic paths, all of the same colour, which cover all vertices?","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)"}