5. Consider the following algorithm to check connectivity of a graph defined by its adjacency matrix. ALGORITHM Connected(A[0..n -1, 0.n - 1]) //Input. Adjacency matrix 0..n-1, 0..n-1]) of an undirected graph G //Output: 1 (true) if G is connected and 0 (false) if it is not if n 1 return 1 //one-vertex graph is connected by definition else if not Connected(AO..n-2, 0..n-2) ) return 0 else for j 0 to n-2 do if A[n-1, j] return 1 return 0 Does this algorithm work correctly for every undirected graph with n > 0 vertices? If you answer yes, indicate the algorithm's efficiency class in the worst case; if you answer no, explain why