1. 3. 2. 5. 1. 2. 1. x. 2. This was adjacency matrix after k=x and k=1 steps. Notice the shorter (green) path from x to 4. Now use k=3 and see how we pick it up. We do get to look at paths of length > 2!. 4. 4. 3. 3. X 1 2 3 4. X 1 2 3 4.

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