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 $f(t)\ll t$?