Question $4$

All the parts of this question concern strongly connected components of the following directed graph.

What is the number of SCCs in the graph? Your answer must be an integer in $\{1,2,$dots,$8\}.$

How many vertices are in the SCC of b$?$ Your answer must be an integer in $\{1,2,$dots,$8\}.$

How many vertices are in the SCC of g$?$ Your answer must be an integer in $\{1,2,$dots,$8\}.$

Among all vertices in the SCC of $f($including $f),$ list the vertex that appears first in the alphabetical order. Your

answer must be one of $\{a,b,c,d,e,f,g,h\}.$