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BellmanFordAlgo.java
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65 lines (56 loc) · 1.9 KB
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//Time Complexity: O(VE)
import java.util.ArrayList;
public class BellmanFordAlgo {
static class Edge{
int src;
int dest;
int weight;
public Edge(int s, int d, int wt){
this.src = s;
this.dest = d;
this.weight = wt;
}
}
private static void createAGraph(ArrayList<Edge>[] graph) {
for(int i=0; i<graph.length; i++) {
graph[i] = new ArrayList<Edge>();
}
graph[0].add(new Edge(0, 1, 2));
graph[0].add(new Edge(0, 2, 4));
graph[1].add(new Edge(1, 2, -4));
graph[2].add(new Edge(2, 3, 2));
graph[3].add(new Edge(3, 4, 4));
graph[4].add(new Edge(4, 1, -10));
}
public static void bellmanFord(ArrayList<Edge>[] graph, int src, int V) {
int[] ans = new int[V];
for(int i=0; i<V; i++) {
if(src != i) ans[i] = Integer.MAX_VALUE;
}
for(int k=0; k<V-1; k++) {
for(int i=0; i<V; i++) {
for(int j=0; j<graph[i].size(); j++) {
Edge e = graph[i].get(j);
int u = e.src;
int v= e.dest;
if(ans[u] != Integer.MAX_VALUE && (ans[u] + e.weight < ans[v])) ans[v] = ans[u] + e.weight;
}
}
}
for(int i=0; i<V; i++) {
for(int j=0; j<graph[i].size(); j++) {
Edge e = graph[i].get(j);
int u = e.src;
int v= e.dest;
if(ans[u] != Integer.MAX_VALUE && (ans[u] + e.weight < ans[v])) System.out.println("Negative weight cycle occurs!!!");
}
}
for(int i: ans) System.out.print(i+" ");
}
public static void main(String[] args) {
final int V = 5;
ArrayList<Edge>[] graph = new ArrayList[V];
createAGraph(graph); // creating a graph
bellmanFord(graph, 0, V);
}
}