{"schema":"vela.problem-packet.v0.1","problem":363,"statement":"Is it true that there are only finitely many collections of disjoint intervals $I_1,\\ldots,I_n$ of size $\\lvert I_i\\rvert \\geq 4$ for $1\\leq i\\leq n$ such that\\[\\prod_{1\\leq i\\leq n}\\prod_{m\\in I_i}m\\]is a square?","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)"}