Implement both BFS $($breadth first search$)$ and DFS $($depth first search$)$ for an undirected graph $,$ where $V$ is the set of vertices in $G$ and $E$ be the set of edges in $G.$ You have to use C$++$ programming language for implementation. You can use any available code from books or internet sources.

Input: $,$ an undirected graph and any vertex $($user$-$specified vertex$)$ in the graph as a starting vertex $($node$).$

Output: the sequence of vertices, the order in which the vertices are discovered by your program.

Expected to be done: $(1)$ You have to make your programs that compile without any syntax errors, $(2)$ your programs should output correct answer for the given input graph $G$ and $(3)$ you need to run the program in the class and explain the output. points$).$