{"schema":"vela.problem-packet.v0.1","problem":877,"statement":"Let $f_m(n)$ count the number of maximal sum-free subsets $A\\subseteq\\{1,\\ldots,n\\}$ - that is, there are no solutions to $a=b+c$ in $A$ and $A$ is maximal with this property. Estimate $f(n)$ - is it true that $f_m(n)=o(2^{n/2})$?","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)"}