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207-Course-Schedule.cpp
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75 lines (56 loc) · 2.53 KB
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class Solution {
public:
bool canFinish(int numCourses, vector<vector<int>>& prerequisites) {
vector<vector<int>> graph = setGraph(prerequisites, numCourses);
vector<int> visited;
for(int course = 0; course < numCourses; course++){
vector<int> visiting;
if(find(visited.begin(), visited.end(), course) != visited.end()) continue;
if(!dfs(graph, visiting, visited, course)) return false;
}
return true;
}
vector<vector<int>> setGraph(vector<vector<int>>& allReqs, int numCourses){
vector<vector<int>> adjList(numCourses);
for(vector<int> list : allReqs){
adjList[list[1]].push_back(list[0]);
}
return adjList;
}
bool dfs(vector<vector<int>>& graph, vector<int>& visiting, vector<int>& visited, int node){
if(find(visited.begin(), visited.end(), node) != visited.end()) return true;
if(find(visiting.begin(), visiting.end(), node) != visiting.end()) return false;
visiting.push_back(node);
for(int neighbors = 0; neighbors < graph[node].size(); neighbors++){
if(!dfs(graph, visiting, visited, graph[node][neighbors])) return false;
}
visited.push_back(node);
visiting.pop_back();
return true;
}
};
/* 207. Course-Schedule.cpp
//////////////////////////////////////////////////
There are a total of numCourses courses you have to take, labeled from 0 to numCourses - 1.
You are given an array prerequisites where prerequisites[i] = [ai, bi] indicates that you must take course bi first if you want to take course ai.
For example, the pair [0, 1], indicates that to take course 0 you have to first take course 1.
Return true if you can finish all courses. Otherwise, return false.
Example 1:
Input: numCourses = 2, prerequisites = [[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: numCourses = 2, prerequisites = [[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.
Constraints:
1 <= numCourses <= 105
0 <= prerequisites.length <= 5000
prerequisites[i].length == 2
0 <= ai, bi < numCourses
All the pairs prerequisites[i] are unique.
https://leetcode.com/problems/course-schedule/
//////////////////////////////////////////////////
*/