{"schema":"vela.problem-packet.v0.1","problem":539,"statement":"Let $h(n)$ be such that, for any set $A\\subseteq \\mathbb{N}$ of size $n$, the set\\[\\left\\{ \\frac{a}{(a,b)}: a,b\\in A\\right\\}\\]has size at least $h(n)$. Estimate $h(n)$.","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)"}