\begin{document}$ E^{*} $\end{document} and bound charge \begin{document}$Z_{\rm bound}$\end{document} are used for event-sorting. These two ensembles represent the statistical properties of the initial and final states of the system, respectively. The initial-final correlations of statistical properties might lead to two phenomena. First, the size distribution of the largest fragment at the pseudo-critical point based on the \begin{document}$Z_{\rm bound}$\end{document} ensemble is wide, while that based on \begin{document}$ E^{*} $\end{document} ensemble exhibits bimodality, which is a typical characteristic in the liquid-gas coexistence of a finite system. Second, the temperature at the pseudo-critical point based on the \begin{document}$Z_{\rm bound}$\end{document} ensemble is higher than that based on the \begin{document}$ E^{*} $\end{document} ensemble. Furthermore, the projectile-like system exhibits a significant dynamical effect in its evolution path from the initial to final state, closely associated with the fluctuation of critical temperature."> Uncertainties of critical temperatures based on higher-order fluctuations of the largest fragment charge -
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