Consider the functor \\( G : \textbf{Gr} \rightarrow \textbf{DDS} \\) given by sending ‘source’ to ‘next’
and sending ‘target’ to the identity on ‘State’.
Migrate the same data using \\(G\\).
Write down the tables and draw the corresponding graph.

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\\( I : \textbf{DDS} \rightarrow \textbf{Set} \\)

\[
\begin{array}{c | c}
State & next \\\\
\hline
1 & 4 \\\\
2 & 4 \\\\
3 & 5 \\\\
4 & 5 \\\\
5 & 5 \\\\
6 & 7 \\\\
7 & 6
\end{array}
\]