{"schema":"vela.problem-packet.v0.1","problem":356,"statement":"Is there some $c>0$ such that, for all sufficiently large $n$, there exist integers $a_1<\\cdots<a_k\\leq n$ such that there are at least $cn^2$ distinct integers of the form $\\sum_{u\\leq i\\leq v}a_i$?","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)"}