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Course Schedule
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?
For example:
2, [[1,0]]
There are a total of 2 courses to take. To take course 1 you should have finished course 0. So it is possible.
2, [[1,0],[0,1]]
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.
Java代码:
public class Solution { public boolean canFinish(int numCourses, int[][] prerequisites) { Map> map = new HashMap >(); int[] indegree = new int[numCourses]; Queue queue = new LinkedList (); int count = numCourses; for (int i = 0; i < numCourses; i++) { map.put(i, new ArrayList ()); } for (int i = 0; i < prerequisites.length; i++) { map.get(prerequisites[i][0]).add(prerequisites[i][1]); indegree[prerequisites[i][1]]++; } for (int i = 0; i < numCourses; i++) { if (indegree[i] == 0) { queue.offer(i); } } while (!queue.isEmpty()) { int current = queue.poll(); for (int i : map.get(current)) { if (--indegree[i] == 0) { queue.offer(i); } } count--; } return count == 0; }}
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