{"schema":"vela.problem-packet.v0.1","problem":792,"statement":"Let $f(n)$ be maximal such that in any $A\\subset \\mathbb{Z}$ with $\\lvert A\\rvert=n$ there exists some sum-free subset $B\\subseteq A$ with $\\lvert B\\rvert \\geq f(n)$, so that there are no solutions to\\[a+b=c\\]with $a,b,c\\in B$. Estimate $f(n)$.","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)"}