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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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