{"schema":"vela.problem-packet.v0.1","problem":278,"statement":"Let $A=\\{n_1<\\cdots<n_r\\}$ be a finite set of positive integers. What is the maximum density of integers covered by a suitable choice of congruences $a_i\\pmod{n_i}$?Is the minimum density achieved when all the $a_i$ are equal?","status":"open","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)"}