{"schema":"vela.problem-packet.v0.1","problem":806,"statement":"Let $A\\subseteq \\{1,\\ldots,n\\}$ with $\\lvert A\\rvert \\leq n^{1/2}$. Must there exist some $B\\subset\\mathbb{Z}$ with $\\lvert B\\rvert=o(n^{1/2})$ such that $A\\subseteq B+B$?","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)"}