\begin{table}%t5
  %\centering
\par
    \caption{The distribution of companion stars over angular separation $\rho$ and $K_{\rm S}$ magnitude for our sample of 31~targets with multi-color observations. Each entry lists the number of confirmed companion stars, i.e., the secondaries with $\chi^2 < 2.30$. Between brackets we list the number of candidate companion stars, which have $2.30 < \chi^2 < 11.8$. We have also included the candidate companion HIP~80142-2 ($\rho=5.88''$), for which no $K_{\rm S}$ measurement is available. Several candidate companions are likely to be background stars, especially faint candidates at large separation. In the region $1''\leq \rho \leq 4''$ and $12~{\rm mag} \leq K_{\rm S} \leq 14$~mag (which we will study in Sect.~\ref{section: gap}) we find one confirmed companion and no candidate companions.  \label{table: 13sigma}}
  \begin{tabular}{lrrrr}
    \hline\hline
    & $\rho < 1''$ & $1''\leq\rho\leq 4''$ & $\rho > 4''$ & Total \\
    \hline
    $K_{\rm S} < 12$~mag & 9 \ ($-$)   & 10 \ (2)  & 4 \ (2)  & 23 \ (4) \\ 
    $12 \leq K_{\rm S} \leq 14$~mag &  $-$ \ ($-$) &  1 \ ($-$)  & $-$ \ (1)  & 1 \ (1) \\ 
    $K_{\rm S} > 14$~mag &  $-$ \ ($-$) &  $-$ \ (3) &  1 \ (3) & 1 \ (6) \\
    no $K_{\rm S}$ available & $-$ \ ($-$) & $-$ \ ($-$) & $-$ \ (1) & $-$ \ (1) \\
    \hline
    Total & 9 \ ($-$) & 11 \ (5) & 5 \ (7) & 25 \ (12) \\
    \hline
  \end{tabular}
\par
\end{table}