Run the SCC algorithm on the following directed graph $G.$ When doing DFS on $G^R$ : whenever there

is a choice of vertices to explore, always pick the one that is alphabetically first.

$A$:$D,G$

$B$:$F,G,L$

$C$:$B,E$

$D$:$G,H$

$E$:$A,J$

$F$:$B$

$G$:$H$

$H$:$B,L$

I:$K$

$J$:$F,L$

$K$:$D$

$L$:$E,H,K$

$($a$)(5$ points$)$ In what order are the strongly connected components $($SCCs$)$ found?

$($b$)(5$ points$)$ Which are source SCCs and which are sink SCCs$?$

$($c$)(5$ points$)$ Draw the "metagraph" $($each meta$-$node is an SCC of $G)$