{"schema":"vela.problem-packet.v0.1","problem":982,"statement":"If $n$ distinct points in $\\mathbb{R}^2$ form a convex polygon then some vertex has at least $\\lfloor \\frac{n}{2}\\rfloor$ different distances to other vertices.","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A004526","name":"Nonnegative integers repeated, floor(n/2).","terms":"0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23","url":"https://oeis.org/A004526"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}