{"schema":"vela.problem-packet.v0.1","problem":1215,"statement":"Does there exist a constant $C$ such that for every polynomial $P$ with $P(0)=1$, all of whose roots are on the unit circle, there exists a path in\\[\\{ z: \\lvert P(z)\\rvert < 1\\}\\]which connects $0$ to the unit circle of length at most $C$?","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)"}