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Implementation of Dijkstra Shortest Paths in Java.
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package kr.opid.algorithm; | |
import java.util.ArrayList; | |
import java.util.Stack; | |
/** | |
* @author Yeong-jun | |
* | |
*/ | |
public class ShortestPaths { | |
public static void main(String[] args) { | |
int m = Integer.MAX_VALUE; | |
int[][] matrix = new int[][] { | |
{ 0, 3, 1, m, m, 1 }, | |
{ m, 0, m, m, m, 3 }, | |
{ m, m, 0, m, m, m }, | |
{ m, m, m, 0, 2, m }, | |
{ m, m, m, m, 0, m }, | |
{ m, 1, m, 2, 6, 0 } }; | |
Dijkstra s = new Dijkstra(); | |
s.dijkstra(matrix, 0); | |
System.out.println(s.getPathList(1)); | |
System.out.println(s.getPathList(2)); | |
System.out.println(s.getPathList(3)); | |
System.out.println(s.getPathList(4)); | |
System.out.println(s.getPathList(5)); | |
} | |
} | |
class Dijkstra { | |
boolean[] mVisit; | |
long[] mDist; | |
int[] mPath; | |
int mStart; | |
/** | |
* 딕스트라 최단경로 | |
* | |
* @param st | |
* @param end | |
*/ | |
void dijkstra(int[][] matrix, int st) { | |
int size = matrix.length; | |
boolean[] visit = new boolean[size]; | |
long[] dist = new long[size]; | |
int[] path = new int[size]; | |
double tmpDist = 0.0; | |
int tmpIdx = 0; | |
// Initialize | |
for (int i = 0; i < size; i++) { | |
dist[i] = Integer.MAX_VALUE; | |
visit[i] = false; | |
path[i] = -1; | |
} | |
// start point distance is 0. | |
dist[st] = 0; | |
for (int i = 0; i < size; i++) { | |
tmpDist = Integer.MAX_VALUE; | |
// 가장 짧은 곳 선택 | |
for (int j = 0; j < size; j++) { | |
if (visit[j] == false && dist[j] < tmpDist) { | |
tmpIdx = j; | |
tmpDist = dist[j]; | |
} | |
} | |
// 선택한 곳 방문 체크 | |
visit[tmpIdx] = true; | |
// 짧은 곳이 없으면 종료 | |
if (dist[tmpIdx] == Integer.MAX_VALUE) { | |
break; | |
} else { | |
// 비교 | |
for (int j = 0; j < size; j++) { | |
if (dist[j] > dist[tmpIdx] + matrix[tmpIdx][j]) { | |
dist[j] = dist[tmpIdx] + matrix[tmpIdx][j]; | |
path[j] = tmpIdx; | |
} | |
} | |
} | |
} | |
mStart = st; | |
mVisit = visit; | |
mDist = dist; | |
mPath = path; | |
} | |
/** | |
* 최단경로를 리스트로 변경해서 반환 | |
* | |
* @return | |
*/ | |
ArrayList<Integer> getPathList(int end) { | |
ArrayList<Integer> resultList = new ArrayList<>(); | |
Stack<Integer> stack = new Stack<>(); | |
int pointer = end; | |
while (true) { | |
if (mPath[pointer] != -1 && mStart != end) { | |
stack.push(pointer); | |
pointer = mPath[pointer]; | |
} else { | |
stack.push(mStart); | |
break; | |
} | |
} | |
while (!stack.empty()) | |
resultList.add(stack.pop()); | |
return resultList; | |
} | |
} |
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