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