{"schema":"vela.problem-packet.v0.1","problem":953,"statement":"Let $A\\subset \\{ x\\in \\mathbb{R}^2 : \\lvert x\\rvert <r\\}$ be a measurable set with no integer distances, that is, such that $\\lvert a-b\\rvert \\not\\in \\mathbb{Z}$ for any distinct $a,b\\in A$. How large can the measure of $A$ be?","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)"}