Consider the graph adjacency matrix
1 2 3 4 5
1 0 1 0 1 0
2 0 0 1 1 1
3 1 1 0 0 0 0
4 1 0 0 0 0
5 0 0 0 1 0
How many paths are there from vertex 1 to vertex 5 of length either 1 edge or 2 edges or 3 edges or 4 edges?
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