  Pfister and Sullivan proved that if a topological dynamical system $(X,T)$
satisfies almost product property and uniform separation property, then for
each nonempty compact %convex subset $K$ of invariant measures, the entropy of
saturated set $G_{K}$ satisfies \begin{equation}\label{Bowen's topological
entropy}
  h_{top}^{B}(T,G_{K})=\inf\{h(T,\mu):\mu\in K\}, \end{equation} where
$h_{top}^{B}(T,G_{K})$ is Bowen's topological entropy of $T$ on $G_{K}$, and
$h(T,\mu)$ is the Kolmogorov-Sinai entropy of $\mu$. In this paper, we
investigate topological complexity of $G_{K}$ by replacing Bowen's topological
entropy with upper capacity entropy and packing entropy and obtain the
following formulas: \begin{equation*}
  h_{top}^{UC}(T,G_{K})=h_{top}(T,X)\ \mathrm{and}\
h_{top}^{P}(T,G_{K})=\sup\{h(T,\mu):\mu\in K\}, \end{equation*} where
$h_{top}^{UC}(T,G_{K})$ is the upper capacity entropy of $T$ on $G_{K}$ and
$h_{top}^{P}(T,G_{K})$ is the packing entropy of $T$ on $G_{K}.$ In the proof
of these two formulas, uniform separation property is unnecessary.
