{"schema":"vela.problem-packet.v0.1","problem":856,"statement":"Let $k\\geq 3$ and $f_k(N)$ be the maximum value of $\\sum_{n\\in A}\\frac{1}{n}$, where $A$ ranges over all subsets of $\\{1,\\ldots,N\\}$ which contain no subset of size $k$ with the same pairwise least common multiple.Estimate $f_k(N)$.","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)"}