{"schema":"vela.problem-packet.v0.1","problem":494,"statement":"If $A\\subset \\mathbb{C}$ is a finite set and $k\\geq 1$ then let\\[A_k = \\{ z_1+\\cdots+z_k : z_i\\in A\\textrm{ distinct}\\}.\\]For $k>2$ does the multiset $A_k$ (together with the size of $A$) uniquely determine the set $A$?","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)"}