{"schema":"vela.problem-packet.v0.1","problem":835,"statement":"Does there exist a $k>2$ such that the $k$-sized subsets of $\\{1,\\ldots,2k\\}$ can be coloured with $k+1$ colours such that for every $A\\subset \\{1,\\ldots,2k\\}$ with $\\lvert A\\rvert=k+1$ all $k+1$ colours appear among the $k$-sized subsets of $A$?","status":"open","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)"}