\begin{table}%t1 \caption{\label{tabledensities}Properties of the HLS Bullet cluster catalogs.}\vspace*{-2mm} \par %\centering \par \begin{tabular}{l c c c c c} \hline \hline \noalign{\smallskip} & \multicolumn{1}{c}{PACS100} & \multicolumn{1}{c}{PACS160} & \multicolumn{1}{c}{SPIRE250} & \multicolumn{1}{c}{SPIRE350} & \multicolumn{1}{c}{SPIRE500} \\ \hline $A$\tablefootmark{a} & 28.5 & 29.7 & 434 & 438 & 416 \\ $S$($\lambda$)\tablefootmark{b} & 5.5 (3.0) & 10 (6) & 12 (7) & 17 (10) & 18 (11) \\ $D$\tablefootmark{c} & 2.0 (5.0) & 2.0 (4.2) & 1.1 (1.8) & 0.5 (1.2) & 0.2 (0.6) \\ $M$\tablefootmark{d} & 12\% (24) & 19\% (24) & 48\% (24) & 42\% (250) & 48\% (350) \\ \hline \end{tabular}\vspace*{-2mm} \tablefoot {\tablefoottext{a}{Surveyed area in arcmin$^2$;} \tablefoottext{b}{5$\sigma$ (3$\sigma$) flux density detection levels$^1$ in~mJy;} \tablefoottext{c}{source densities for each significance level in sources/arcmin$^{2}$;} \tablefoottext{d}{fraction of merged sources and wavelength (in~$\mu$m) used to obtain position priors.}} \vspace*{-3mm} \end{table}