Do the following graphs exist? If so, draw an example. If not, give a reason.

e) A simple graph with 4 vertices, whose degrees are 1, 1, 2, 4.

f) A simple digraph with 3 vertices with in-degrees 0, 1, 2 and out-degrees 0, 1, 2.

g) A simple digraph with 3 vertices with in-degrees 1, 1, 1 and out-degrees 1, 1, 1.

h) A simple digraph with 4 vertices with in-degrees 0, 1, 2, 2 and out-degrees 0, 1, 1, 3.