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 course0
you have to first take course1
.
Return true
if you can finish all courses. Otherwise, return false
.
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.
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.
1 <= numCourses <= 2000
0 <= prerequisites.length <= 5000
prerequisites[i].length == 2
0 <= ai, bi < numCourses
- All the pairs prerequisites[i] are unique.
use std::collections::HashMap;implSolution{pubfncan_finish(num_courses:i32,prerequisites:Vec<Vec<i32>>) -> bool{letmut indegrees = vec![0; num_courses asusize];letmut follows = HashMap::new();letmut courses = vec![];for prerequisite in prerequisites { indegrees[prerequisite[0]asusize] += 1; follows .entry(prerequisite[1]asusize).or_insert(vec![]).push(prerequisite[0]asusize);}for b in0..num_courses asusize{if indegrees[b] == 0{ courses.push(b);}}whileletSome(b) = courses.pop(){for a in follows.remove(&b).unwrap_or(vec![]){ indegrees[a] -= 1;if indegrees[a] == 0{ courses.push(a);}}} indegrees.iter().all(|&x| x == 0)}}