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Copy pathDijkstra.java
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208 lines (175 loc) · 6.55 KB
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import java.io.*;
import java.util.*;
import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;
import java.lang.*;
public class Dijkstra {
public static ArrayList<String> shortestPath (ArrayList<String> strList, String s, String e) {
int n = strList.size();
String[] sourceLoc = new String[n];
String[] destLoc = new String[n];
String[] arrLeft = new String[n];
int[] duration = new int[n];
for (int i = 0; i < strList.size(); i++) {
// System.out.println(strList.get(i));
arrLeft[i] = strList.get(i).split(";")[0];
duration[i] = Integer.parseInt(strList.get(i).split(";")[1]);
sourceLoc[i] = arrLeft[i].split(",")[0];
destLoc[i] = arrLeft[i].split(",")[1];
}
Graph.Edge[] GRAPH = new Graph.Edge[strList.size()];
for (int i = 0; i < strList.size(); i++) {
GRAPH[i] = new Graph.Edge(sourceLoc[i], destLoc[i], duration[i]);
}
final String START = s;
final String END = e;
Graph g = new Graph(GRAPH);
g.dijkstra(START);
return g.printPath(END);
//g.printAllPaths();
}
public static void main(String[] args) {
ArrayList<String> l = new ArrayList<String>();
l.add("node1,node2;2");
l.add("node1,node3;1");
l.add("node1,node7;1");
l.add("node2,node4;1");
l.add("node3,node4;2");
l.add("node3,node6;3");
l.add("node3,node7;2");
l.add("node4,node5;1");
l.add("node5,node6;1");
l.add("node6,node7;1");
l.add("node7,node9;2");
String start = "node1";
String end = "node9";
ArrayList<String> list = shortestPath(l, start, end);
System.out.println(list);
}
}
class Graph {
private final Map<String, Vertex> graph; // mapping of vertex names to Vertex objects, built from a set of Edges
// private List<String> res = new ArrayList<>();
/** One edge of the graph (only used by Graph constructor) */
public static class Edge {
public final String v1, v2;
public final int dist;
public Edge(String v1, String v2, int dist) {
this.v1 = v1;
this.v2 = v2;
this.dist = dist;
}
}
/** One vertex of the graph, complete with mappings to neighbouring vertices */
public static class Vertex implements Comparable<Vertex>{
public final String name;
public int dist = Integer.MAX_VALUE; // MAX_VALUE assumed to be infinity
public Vertex previous = null;
public final Map<Vertex, Integer> neighbours = new HashMap<>();
public Vertex(String name)
{
this.name = name;
}
private void printPath(ArrayList<String> record)
{
if (this == this.previous)
{
//System.out.printf("%s", this.name);
String nd = this.name+"#@";
record.add(nd);
}
else if (this.previous == null)
{
String s = this.name + "(unreached)";
record.add(s);
}
else
{
this.previous.printPath(record);
String nd = this.name+"#"+this.dist;
record.add(nd);
}
}
public int compareTo(Vertex other)
{
if (dist == other.dist)
return name.compareTo(other.name);
return Integer.compare(dist, other.dist);
}
@Override public String toString()
{
return "(" + name + ", " + dist + ")";
}
}
/** Builds a graph from a set of edges */
public Graph(Edge[] edges) {
graph = new HashMap<>(edges.length);
//one pass to find all vertices
for (Edge e : edges) {
if (!graph.containsKey(e.v1)) graph.put(e.v1, new Vertex(e.v1));
if (!graph.containsKey(e.v2)) graph.put(e.v2, new Vertex(e.v2));
}
//another pass to set neighbouring vertices
for (Edge e : edges) {
graph.get(e.v1).neighbours.put(graph.get(e.v2), e.dist);
//graph.get(e.v2).neighbours.put(graph.get(e.v1), e.dist); // also do this for an undirected graph
}
}
/** Runs dijkstra using a specified source vertex */
public void dijkstra(String startName) {
if (!graph.containsKey(startName)) {
System.err.printf("Graph doesn't contain start vertex \"%s\"\n", startName);
return;
}
final Vertex source = graph.get(startName);
NavigableSet<Vertex> q = new TreeSet<>();
// set-up vertices
for (Vertex v : graph.values()) {
v.previous = v == source ? source : null;
v.dist = v == source ? 0 : Integer.MAX_VALUE;
q.add(v);
}
dijkstra(q);
}
/** Implementation of dijkstra's algorithm using a binary heap. */
private void dijkstra(final NavigableSet<Vertex> q) {
Vertex u, v;
while (!q.isEmpty()) {
u = q.pollFirst(); // vertex with shortest distance (first iteration will return source)
if (u.dist == Integer.MAX_VALUE) break; // we can ignore u (and any other remaining vertices) since they are unreachable
//look at distances to each neighbour
for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
v = a.getKey(); //the neighbour in this iteration
final int alternateDist = u.dist + a.getValue();
if (alternateDist < v.dist) { // shorter path to neighbour found
q.remove(v);
v.dist = alternateDist;
v.previous = u;
q.add(v);
}
}
}
}
/** Prints a path from the source to the specified vertex */
public ArrayList<String> printPath(String endName) {
if (!graph.containsKey(endName)) {
System.err.printf("Graph doesn't contain end vertex \"%s\"\n", endName);
}
// String nd = graph.get(endName).printPath();
// if(nd.length()>0){
// res.add(nd);
// }
// System.out.println();
ArrayList<String> l = new ArrayList<String>();
graph.get(endName).printPath(l);
return l;
}
/** Prints the path from the source to every vertex (output order is not guaranteed) */
/*public void printAllPaths() {
for (Vertex v : graph.values()) {
v.printPath();
System.out.println();
}
}*/
}