Implement the top trading cycle algorithm in C++

\begin{tabular}{|l|l|l|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Agent: } & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline 1st choice: & 3 & 3 & 3 & 2 & 1 & 2 \\ \hline 2nd choice: & 2 & 5 & 1 & 5 & 3 & 4 \\ \hline 3rd choice: & 4 & 6 & & 6 & 2 & 5 \\ \hline 4th choice: & 1 & & & 4 & & 6 \\ \hline & & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|lllll|} \hline Agent: & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline House: & 2 & 5 & 3 & 6 & 1 & 4 \\ \hline \end{tabular}