(S) For the input graph what are the final array entries of the Floyd Warshall algorithm from Section 18.4?
With columns indexed by k and rows by vertex pairs:
(1,1) | 0 | 0 | 0 | 0 | 0 |
(1,2) | 2 | 2 | 2 | 2 | 2 |
(1,3) | 5 | 5 | 3 | 3 | 3 |
(1,4) | +∞ | +∞ | +∞ | 6 | 6 |
(2,1) | +∞ | +∞ | +∞ | +∞ | 8 |
(2,2) | 0 | 0 | 0 | 0 | 0 |
(2,3) | 1 | 1 | 1 | 1 | 1 |
(2,4) | +∞ | +∞ | +∞ | 4 | 4 |
(3,1) | +∞ | +∞ | +∞ | +∞ | 7 |
(3,2) | +∞ | +∞ | +∞ | +∞ | 9 |
(3,3) | 0 | 0 | 0 | 0 | 0 |
(3,4) | 3 | 3 | 3 | 3 | 3 |
(4,1) | 4 | 4 | 4 | 4 | 4 |
(4,2) | +∞ | 6 | 6 | 6 | 6 |
(4,3) | +∞ | 9 | 7 | 7 | 7 |
(4,4) | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 2 | 3 | 4 |