Question $3(25$p$)$ The figure below shows the structure of a directed graph. Answer the questions based on it$.$

a$)$ Find the outdegree of a given vertex id$.(10$p$)$

b$)$ Write a method that checks whether a path, which has a length of $2($consists of two edges. It is not related

with the weight of the edges$),$ exists between the given vertices. $(15$p$)$