课程安排,输入是课程总数,上课的方式,输出是否可行
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.
public boolean canFinish(int numCourses, int[][] prerequisites) {
int[][] matrix = new int[numCourses][numCourses]; // i -> j
int[] indegree = new int[numCourses];
for (int i=0; i<prerequisites.length; i++) {
int ready = prerequisites[i][0];
int pre = prerequisites[i][1];
if (matrix[pre][ready] == 0)
indegree[ready]++; //duplicate case
matrix[pre][ready] = 1;
}
int count = 0;
Queue<Integer> queue = new LinkedList();
for (int i=0; i<indegree.length; i++) {
if (indegree[i] == 0) queue.offer(i);
}
while (!queue.isEmpty()) {
int course = queue.poll();
count++;
for (int i=0; i<numCourses; i++) {
if (matrix[course][i] != 0) {
if (--indegree[i] == 0)
queue.offer(i);
}
}
}
return count == numCourses;
}