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import java.util.*; | ||
public class Dijkstra{ | ||
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public static void main(String[] arg){ | ||
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Dijkstra obj = new Dijkstra(); | ||
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// Create a new graph. | ||
Graph g = new Graph(9); | ||
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// Add the required edges. | ||
g.addEdge(0, 1, 4); g.addEdge(0, 7, 8); | ||
g.addEdge(1, 2, 8); g.addEdge(1, 7, 11); g.addEdge(2, 1, 8); | ||
g.addEdge(2, 8, 2); g.addEdge(2, 5, 4); g.addEdge(2, 3, 7); | ||
g.addEdge(3, 2, 7); g.addEdge(3, 5, 14); g.addEdge(3, 4, 9); | ||
g.addEdge(4, 3, 9); g.addEdge(4, 5, 10); | ||
g.addEdge(5, 4, 10); g.addEdge(5, 3, 9); g.addEdge(5, 2, 4); g.addEdge(5, 6, 2); | ||
g.addEdge(6, 7, 1); g.addEdge(6, 8, 6); g.addEdge(6, 5, 2); | ||
g.addEdge(7, 0, 8); g.addEdge(7, 8, 7); g.addEdge(7, 1, 11); g.addEdge(7, 6, 1); | ||
g.addEdge(8, 2, 2); g.addEdge(8, 7, 7); g.addEdge(8, 6, 6); | ||
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// Calculate Dijkstra. | ||
obj.calculate(g.getVertex(0)); | ||
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// Print the minimum Distance. | ||
for(Vertex v:g.getVertices()){ | ||
System.out.print("Vertex - "+v+" , Dist - "+ v.minDistance+" , Path - "); | ||
for(Vertex pathvert:v.path) { | ||
System.out.print(pathvert+" "); | ||
} | ||
System.out.println(""+v); | ||
} | ||
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} | ||
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public void calculate(Vertex source){ | ||
// Algo: | ||
// 1. Take the unvisited node with minimum weight. | ||
// 2. Visit all its neighbours. | ||
// 3. Update the distances for all the neighbours (In the Priority Queue). | ||
// Repeat the process till all the connected nodes are visited. | ||
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source.minDistance = 0; | ||
PriorityQueue<Vertex> queue = new PriorityQueue<Vertex>(); | ||
queue.add(source); | ||
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while(!queue.isEmpty()){ | ||
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Vertex u = queue.poll(); | ||
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for(Edge neighbour:u.neighbours){ | ||
Double newDist = u.minDistance+neighbour.weight; | ||
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if(neighbour.target.minDistance>newDist){ | ||
// Remove the node from the queue to update the distance value. | ||
queue.remove(neighbour.target); | ||
neighbour.target.minDistance = newDist; | ||
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// Take the path visited till now and add the new node.s | ||
neighbour.target.path = new LinkedList<Vertex>(u.path); | ||
neighbour.target.path.add(u); | ||
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//Reenter the node with new distance. | ||
queue.add(neighbour.target); | ||
} | ||
} | ||
} | ||
} | ||
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} | ||
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