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Create Floyd-Warshall-Algorithm.java #616

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58 changes: 58 additions & 0 deletions Algorithms/Floyd-Warshall-Algorithm.java
Original file line number Diff line number Diff line change
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import java.util.Arrays;

public class FloydWarshallAlgorithm {
final static int INF = 99999; // Represents infinity

// Function to implement Floyd-Warshall Algorithm
void floydWarshall(int graph[][], int V) {
int dist[][] = new int[V][V];

// Initialize the solution matrix with the input graph matrix
for (int i = 0; i < V; i++)
for (int j = 0; j < V; j++)
dist[i][j] = graph[i][j];

// Applying the Floyd-Warshall algorithm
for (int k = 0; k < V; k++) {
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
// If vertex k is on the shortest path from i to j,
// 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, V);
}

// Function to print the shortest distance matrix
void printSolution(int dist[][], int V) {
System.out.println("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();
}
}

// Driver method to test the algorithm
public static void main(String[] args) {
FloydWarshallAlgorithm fwa = new FloydWarshallAlgorithm();
int graph[][] = {
{0, 5, INF, 10},
{INF, 0, 3, INF},
{INF, INF, 0, 1},
{INF, INF, INF, 0}
};
int V = 4; // Number of vertices in the graph

fwa.floydWarshall(graph, V);
}
}