2. A directed graph with n vertices is called YUCCA if there is a vertex with indegree 0 and outdegree n-1. For example, the following is a YUCCA because node A has indegree 0 and outdegree n-1. A) Write an algorithm to test whether a graph represented as an adjacency matrix is a YUCCA Your algorithm must examine only O (n) entries of the adjacency matrix. Justify the correctness and time complexity of your algorithm B) Write a program to implement your algorithm in Part A. Test your program with different graphs to show that your graph is YUCCA and cases when it is not a YUCCA. Provide your program, input graphs, outputs