LeetCode 210. Course Schedule II(拓扑排序-求有向图中是否存在环)
和LeetCode 207. Course Schedule(拓扑排序-求有向图中是否存在环)类似。
注意到。在for (auto p: prerequistites)中特判了输入中可能出现的平行边或自环。
代码:
class Solution
{
public:
vector<int> findOrder(int numCourses, vector<pair<int, int>>& prerequisites)
{
// [0, {1, 2, 3}], means after finishing #0, you "might" be able to take #1, #2, #3
// That is, you must finish #0, before trying to take #1, #2, #3
map<int, vector<int>> course_chain;
vector<int> in_degree(numCourses, 0);
queue<int> q;
vector<int> ret; for (auto p: prerequisites)
{
// self-loop, return empty vector.
if (p.first == p.second)
{
return vector<int>();
}
// no duplicate edges input
if (find(course_chain[p.second].begin(), course_chain[p.second].end(), p.first) == course_chain[p.second].end())
{
course_chain[p.second].push_back(p.first);
++ in_degree[p.first];
}
}
for (size_t i = 0; i < numCourses; ++ i)
{
if (in_degree[i] == 0)
{
q.push(i);
}
}
for (; !q.empty(); q.pop())
{
int pre_course = q.front();
ret.push_back(pre_course);
for (auto it = course_chain[pre_course].begin(); it != course_chain[pre_course].end(); ++ it)
{
-- in_degree[*it];
if (in_degree[*it] == 0)
{
q.push(*it);
}
}
} return ret.size()==numCourses? ret: vector<int>();
}
};
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