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Floyd Warshall algorithm easy way to compute - Malinga
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Floyd-Warshall algorithm
Easiest Way
*(reference: http://www.youtube.com/watch?v=XI1ufteQ2FQ)
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 inf 0 inf
4 inf 2 9 0
S-0
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 inf 0 inf
4 inf 2 9 0
S-1
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 inf 0 inf
4 inf 2 9 0
S-1
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 (8+4) 0 (1+4)
4 inf 2 9 0
S-1
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 9 0
S-1
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 9 0
S-1
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 9 0
S-2
1 2 3 4
1 0 8 inf 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 9 0
S-2
1 2 3 4
1 0 8 Inf, 9 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 9, 3 0
S-2
1 2 3 4
1 0 8 9 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 3 0
S-2
1 2 3 4
1 0 8 9 1
2 inf 0 1 inf
3 4 12 0 5
4 inf 2 3 0
S-3
1 2 3 4
1 0 8 9 1
2 5 0 1 6
3 4 12 0 5
4 7 2 3 0
S-3
1 2 3 4
1 0 8 9 1
2 5 0 1 6
3 4 12 0 5
4 7 2 3 0
S-4
1 2 3 4
1 0 3 4 1
2 5 0 1 6
3 4 7 0 5
4 7 2 3 0
S-4
The End