{"schema":"vela.problem-packet.v0.1","problem":1046,"statement":"Let $f\\in \\mathbb{C}[x]$ be a monic polynomial and\\[E=\\{ z: \\lvert f(z)\\rvert <1\\}.\\]If $E$ is connected then is $E$ contained in a disc of radius $2$?","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)"}