(medium)LeetCode 207.Course Schedule
2015-08-09 14:11
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There are a total of n courses you have to take, labeled from
Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair:
Given the total number of courses and a list of prerequisite pairs, is it possible for you to finish all courses?
For example:
There are a total of 2 courses to take. To take course 1 you should have finished course 0. So it is possible.
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.
click to show more hints.
解法:拓扑排序topological sort
代码如下:
运行结果:
0to
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.
Note:
The input prerequisites is a graph represented by a list of edges, not adjacency matrices. Read more about how a graph is represented.
click to show more hints.
解法:拓扑排序topological sort
代码如下:
public class Solution { public boolean canFinish(int numCourses, int[][] prerequisites) { int [][]matrix=new int[numCourses][numCourses]; int [] indegree =new int[numCourses]; int len=prerequisites.length; for(int i=0;i<len;i++){ int ready=prerequisites[i][0]; int pre=prerequisites[i][1]; if (matrix[pre][ready] == 0)//防止重复条件 indegree[ready]++; 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; } }
运行结果:
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