【LeetCode热题100】【图论】课程表

2024-04-20 11:07:56 浏览数 (3)

题目链接:207. 课程表 - 力扣(LeetCode)

先修课程,判断课程能不能修完,这是一个判断拓扑有序的问题,看看会不会成环

先建立有向图,记录每个顶点的入度,把入度为0的入队列

入度为0的说明没有先修课程,取出来修,并将相连的节点的入度减一,说明先修课程已经修了一个了,再判断有没有新的课程可以修的入队

最后判断修了的课程和要修的课程数目是否相等

代码语言:javascript复制
class Solution {
public:
    bool canFinish(int numCourses, vector<vector<int> > &prerequisites) {
        vector<vector<int> > map(numCourses, vector<int>(numCourses));
        vector<int> inDegree(numCourses);
        for (auto must: prerequisites) {
            int from = must[1], to = must[0];
              inDegree[to];
            map[from][to] = 1;
        }
        queue<int> learned;
        for (int i = 0; i < numCourses;   i)
            if (inDegree[i] == 0)
                learned.emplace(i);
        int pass = 0;
        while (!learned.empty()) {
            int passed = learned.front();
            learned.pop();
            pass  ;
            for (int i = 0; i < numCourses;   i) {
                if (map[passed][i]) {
                    --inDegree[i];
                    if (inDegree[i] == 0)
                        learned.emplace(i);
                }
            }
        }
        if (pass == numCourses)
            return true;
        return false;
    }
};

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