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| 1 | +package com.github.chen0040.leetcode.day18.medium; |
| 2 | + |
| 3 | + |
| 4 | +import java.util.ArrayList; |
| 5 | +import java.util.List; |
| 6 | +import java.util.Stack; |
| 7 | + |
| 8 | + |
| 9 | +/** |
| 10 | + * Created by xschen on 13/8/2017. |
| 11 | + * |
| 12 | + * link: https://leetcode.com/problems/course-schedule-ii/description/ |
| 13 | + */ |
| 14 | +public class CourseScheduleII { |
| 15 | + |
| 16 | + static class Graph { |
| 17 | + int V; |
| 18 | + List<Integer>[] adjList; |
| 19 | + public Graph(int V) { |
| 20 | + this.V = V; |
| 21 | + adjList =(List<Integer>[])new List[V]; |
| 22 | + for(int v = 0; v < V; ++v) { |
| 23 | + adjList[v] = new ArrayList<Integer>(); |
| 24 | + } |
| 25 | + } |
| 26 | + |
| 27 | + public List<Integer> adj(int v) { |
| 28 | + return adjList[v]; |
| 29 | + } |
| 30 | + |
| 31 | + public void addEdge(int v, int w){ |
| 32 | + adj(v).add(w); |
| 33 | + } |
| 34 | + |
| 35 | + private boolean hasCycle; |
| 36 | + public int[] topoSort() { |
| 37 | + hasCycle = false; |
| 38 | + boolean[] marked = new boolean[V]; |
| 39 | + boolean[] onStack = new boolean[V]; |
| 40 | + Stack<Integer> postOrder = new Stack<Integer>(); |
| 41 | + for(int v = 0; v < V; ++v) { |
| 42 | + if(!marked[v]) { |
| 43 | + dfs(v, marked, postOrder, onStack); |
| 44 | + } |
| 45 | + } |
| 46 | + |
| 47 | + if(hasCycle){ |
| 48 | + return new int[0]; |
| 49 | + } else { |
| 50 | + int[] result = new int[V]; |
| 51 | + int index = 0; |
| 52 | + while(!postOrder.isEmpty()) { |
| 53 | + result[index++] = postOrder.pop(); |
| 54 | + } |
| 55 | + return result; |
| 56 | + } |
| 57 | + } |
| 58 | + |
| 59 | + private void dfs(int v, boolean[] marked, Stack<Integer> postOrder, boolean[] onStack) { |
| 60 | + marked[v] = true; |
| 61 | + onStack[v] = true; |
| 62 | + List<Integer> adj_v = adj(v); |
| 63 | + for(Integer w : adj_v){ |
| 64 | + if(onStack[w]){ |
| 65 | + hasCycle = true; |
| 66 | + } |
| 67 | + if(!marked[w]) { |
| 68 | + dfs(w, marked, postOrder, onStack); |
| 69 | + } |
| 70 | + } |
| 71 | + postOrder.push(v); |
| 72 | + onStack[v] = false; |
| 73 | + } |
| 74 | + |
| 75 | + } |
| 76 | + |
| 77 | + public class Solution { |
| 78 | + |
| 79 | + |
| 80 | + public int[] findOrder(int numCourses, int[][] prerequisites) { |
| 81 | + Graph g = new Graph(numCourses); |
| 82 | + for(int i=0; i < prerequisites.length; ++i) { |
| 83 | + int[] pre = prerequisites[i]; |
| 84 | + int from = pre[1]; |
| 85 | + int to = pre[0]; |
| 86 | + g.addEdge(from, to); |
| 87 | + } |
| 88 | + |
| 89 | + return g.topoSort(); |
| 90 | + } |
| 91 | + } |
| 92 | +} |
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