Consider the following algorithm to check connectivity of agraph defined by its adjacency matrix.
![ALGORITHM Connected(시0..n-1, 0..n-1]) //Input: Adjacency matrix A[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 = l return l //one-vertex graph is connected by definition else if not Connected(AIO.n-2, 0..n-2) return 0 else for j ← 0 to n-2 do if Aln 1, j]return 1 return 0](https://mgh-images.s3.amazonaws.com/9780133001365/12242-4.1-5EEI1.png)
Does this algorithm work correctly for every undirected graphwith n > 0 vertices?
If yes, indicate the algorithm’s efficiency class
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