{"schema":"vela.problem-packet.v0.1","problem":316,"statement":"Is it true that if $A\\subset \\mathbb{N}\\backslash\\{1\\}$ is a finite set with $\\sum_{n\\in A}\\frac{1}{n}<2$ then there is a partition $A=A_1\\sqcup A_2$ such that\\[\\sum_{n\\in A_i}\\frac{1}{n}<1\\]for $i=1,2$?","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)"}