{"schema":"vela.problem-packet.v0.1","problem":228,"statement":"Does there exist, for all large $n$, a polynomial $P$ of degree $n$, with coefficients $\\pm 1$, such that\\[\\sqrt{n} \\ll \\lvert P(z) \\rvert \\ll \\sqrt{n}\\]for all $\\lvert z\\rvert =1$, with the implied constants independent of $z$ and $n$?","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)"}