[LeetCode] 0207. Course schedule

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內容目錄

Medium

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] = [a_i, b_i] indicates that you must take course b_i first if you want to take course a_i.

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 <= 2000
0 <= prerequisites.length <= 5000
prerequisites[i].length == 2
0 <= a_i, b_i < numCourses
All the pairs prerequisites[i] are unique.

Python

				
					from collections import deque
from typing import List


class Solution:
    def canFinish(self, numCourses: int, prerequisites: List[List[int]]) -> bool:
        indegree = [0] * numCourses
        adj = [[] for _ in range(numCourses)]

        for prerequisite in prerequisites:
            adj[prerequisite[1]].append(prerequisite[0])
            indegree[prerequisite[0]] += 1

        queue = deque()
        for i in range(numCourses):
            if indegree[i] == 0:
                queue.append(i)

        nodeVisited = 0
        while queue:
            node = queue.popleft()
            nodeVisited += 1

            for neighbor in adj[node]:
                indegree[neighbor] -= 1
                if indegree[neighbor] == 0:
                    queue.append(neighbor)

        return nodeVisited == numCourses

Medium

Python

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