{"schema":"vela.problem-packet.v0.1","problem":1015,"statement":"Let $f(t)$ be minimal such that, in any two-colouring of the edges of $K_n$, the edges can be partitioned into vertex disjoint monochromatic copies of $K_t$ (not necessarily the same colour) with at most $f(t)$ vertices remaining.Estimate $f(t)$. In particular, is it true that $f(t)^{1/t}\\to 1$? Is it true that $f(t)\\ll t$?","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)"}