Course Schedule[课程先后决策]

There are a total of n courses you have to take, labeled from 0 to n-1.
Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1]
Given the total number of courses and a list of prerequisite pairs, is it possible for you to finish all courses?
Example 1:
Input: 2, [[1,0]]
Output: true
Explanation: There are a total of 2 courses to take.
To take course 1 you should have finished course 0. So it is possible.
Example 2:
Input: 2, [[1,0],[0,1]]
Output: false
Explanation: There are a total of 2 courses to take.
To take course 1 you should have finished course 0, and to take course 0 you should
also have finished course 1. So it is impossible.
Note:
The input prerequisites is a graph represented by a list of edges, not adjacency matrices. Read more about how a graph is represented.
You may assume that there are no duplicate edges in the input prerequisites.

  • 思路
    修读课程,给定多组序列[a, b],表示要学习a课程必须先学习b课程。问是否可以全部修完n门课程?题目链接
    拓扑排序。统计每个点(课程)的入度,然后把入度为0的入队。再依次出队,每出队一次课程数减一,然后将该点的后续点入度减一,如果为0则入队。最后课程数为0表示可以全部修完。
    补充:当需要输出正确的序列时,可以在每次出队的时候记录该点,最后判断是否能修完,若能的话返回结果
import java.util.LinkedList;

class Solution {
    public boolean canFinish(int numCourses, int[][] prerequisites) {

        // 统计所有点的入度
        int[] inDegrees = new int[numCourses];
        for(int[] arr : prerequisites){
            inDegrees[arr[0]] ++;
        }

        // 将入度为0的点加入队列
        LinkedList queue = new LinkedList();
        for(int i=0; i

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