{"schema":"vela.problem-packet.v0.1","problem":402,"statement":"Prove that, for any finite set $A\\subset\\mathbb{N}$, there exist $a,b\\in A$ such that\\[\\mathrm{gcd}(a,b)\\leq a/\\lvert A\\rvert.\\]","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)"}