{"schema":"vela.problem-packet.v0.1","problem":844,"statement":"Let $A\\subseteq \\{1,\\ldots,N\\}$ be such that, for all $a,b\\in A$, the product $ab$ is not squarefree. Is the maximum size of such an $A$ achieved by taking $A$ to be the set of even numbers and odd non-squarefree numbers?","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)"}