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FloydWarshall.java
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FloydWarshall.java
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public class FloydWarshall {
final static int INF = 99999, V = 4;
void floydWarshall(int graph[][]) {
int dist[][] = new int[V][V];
int i, j, k;
// Initialize the solution matrix same as input graph matrix
for (i = 0; i < V; i++)
for (j = 0; j < V; j++)
dist[i][j] = graph[i][j];
// Add all vertices one by one to the set of intermediate vertices
for (k = 0; k < V; k++) {
// Pick all vertices as source one by one
for (i = 0; i < V; i++) {
// Pick all vertices as destination for the above picked source
for (j = 0; j < V; j++) {
// If vertex k is on the shortest path from i to j, then update the value of dist[i][j]
if (dist[i][k] + dist[k][j] < dist[i][j])
dist[i][j] = dist[i][k] + dist[k][j];
}
}
}
// Print the shortest distance matrix
printSolution(dist);
}
void printSolution(int dist[][]) {
System.out.println("The following matrix shows the shortest distances between every pair of vertices:");
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
if (dist[i][j] == INF)
System.out.print("INF ");
else
System.out.print(dist[i][j] + " ");
}
System.out.println();
}
}
public static void main(String[] args) {
/* Let us create the following weighted graph
10
(0)------->(3)
| /|\
5 | |
| | 1
\|/ |
(1)------->(2)
3 */
int graph[][] = { {0, 5, INF, 10},
{INF, 0, 3, INF},
{INF, INF, 0, 1},
{INF, INF, INF, 0} };
FloydWarshall a = new FloydWarshall();
// Print the solution
a.floydWarshall(graph);
}
}