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\section{Results} \label{sec:results}  Here, we present some results on various interesting cases with mock data and real astronomy data.  \subsection{Easiest and hardest tests}  Intuitively, modes can be easily separated if each mode has similar amount of contribution and the peak of each mode stays far from each other. Also the larger the sample size, the higher the confidence of making inference. We have such mock data and consider them as easiest cases, e.g. $\rm Bi\_G500\_far\_fair$.  \subsection{Destinguishing tests}