{"schema":"vela.problem-packet.v0.1","problem":1121,"statement":"If $C_1,\\ldots,C_n$ are circles in $\\mathbb{R}^2$ with radii $r_1,\\ldots,r_n$ such that no line disjoint from all the circles divides them into two non-empty sets then the circles can be covered by a circle of radius $r=\\sum r_i$.","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)"}