题目 现在你总共有 n 门课需要选,记为 0 到 n-1. 在选修某些课程之前需要一些先修课程. 例如,想要学习课程 0 ,你需要先完成课程 1 ,我们用一个匹配来表示他们: [0,1] 给定课程总量以及它们的先决条件,判断是否可能完成所有课程的学习? 示例 1: 输入: 2, [[1,0]] 输出: true 解释: 总共有 2 门课程.学习课程 1 之前,你需要完成课程 0.所以这是可能的. 示例 2: 输入: 2, [[1,0],[0,1]] 输出: false 解释: 总共有 2 门课程…
题目 There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
lc 207 Course Schedule 207 Course Schedule There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1…
207. Course Schedule Problem's Link ---------------------------------------------------------------------------- Mean: 给定一个有向图,判断是否存在top_sort序列. analyse: 转换为:判断是否存在环. 若存在环,肯定不能找到top_sort序列. 判环的方式有很多:SPFA,top_sort,BFS,DFS...随便选一种就行. Time complexity: O…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
题目: 分析: 这是一道典型的拓扑排序问题.那么何为拓扑排序? 拓扑排序: 有三件事情A,B,C要完成,A随时可以完成,但B和C只有A完成之后才可完成,那么拓扑排序可以为A>B>C或A>C>B. 总的来说,拓扑排序就是对于相互之间有先后依赖关系的事件,给出一个行之有效的序列. 图解释: 反应到图中,就是一个有向无环图可以被拓扑排序,而有环图是无法进行拓扑排序的(比如,A依赖B,B依赖C,C依赖A,三者形成了环,是没有办法完成的) 很明显“课程表”这个题目就是判断题目所给的依赖关系,…
There are a total of n courses you have to take, labeled from 0 to n-1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a lis…
在一个有向图中,每次找到一个没有前驱节点的节点(也就是入度为0的节点),然后把它指向其他节点的边都去掉,重复这个过程(BFS),直到所有节点已被找到,或者没有符合条件的节点(如果图中有环存在). /* 思路就是平时学习的过程,每次都学习一个最先导课程(特征就是该课程没有先导课程),学完所有课程后就成功 如果在某次遍历是发现所有课程都有先导课程,就失败退出. 用一个数组记录每个课程都有几个先导课程,用多个hashset(BFS的数据记录结构)记录该课程的后续课程有哪些, 每次学一个课程,就把该课程…
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}], me…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
拓扑排序基础 拓扑排序用于解决有向无环图(DAG,Directed Acyclic Graph)按依赖关系排线性序列问题,直白地说解决这样的问题:有一组数据,其中一些数据依赖其他,问能否按依赖关系排序(被依赖的排在前面),或给出排序结果. 最常用解决拓扑排序问题的方法是Kahn算法,步骤可以概括为: . 根据依赖关系,构建邻接矩阵或邻接表.入度数组 . 取入度为0的数据(即不依赖其他数据的数据),根据邻接矩阵/邻接表依次减小依赖其的数据的入度 . 判断减小后是否有新的入度为0的数据,继续进行第2…
[207] Course Schedule 排课问题,n门课排课,有的课程必须在另外一些课程之前上,问能不能排出来顺序. 题解:裸的拓扑排序.参考代码见算法竞赛入门指南这本书. class Solution { public: bool dfs(const vector<vector<int>>& g, vector<int>& c, int u) { c[u] = -; ; v < n; ++v) { if (g[u][v]) { ) { ret…
算法期中考到一题关于拓扑序的题目,觉得很值得一写. 1.什么是拓扑序? 对一个有向无环图进行拓扑排序,假如图中存在一条从顶点A到顶点B的路径,则拓扑序中顶点A出现在顶点B的前面.要注意的是,这是对有向无环图而言的,假如图是有环的,拓扑序就无从谈起了.在这道题目中,已经假定了图是一个无环图.因此不需要进行检查. 2.怎么得出拓扑序? 有两种方法,分别基于BFS和DFS,时间复杂度都是O(|V| + |E|).以这道题作为例子分别说一下: (1)BFS 这是我最先想到的方法.我们需要:一个数组,统计…
1040: Schedule Time Limit: 500 MS  Memory Limit: 64 MBSubmit: 12  Solved: 2[Submit][Status][Web Board] Description Resently, loneknight is doing research on job shop schedule problem(JSP for short). Let us take a look at JSP, there are n jobs and m m…
拓扑排序篇 # 题名 刷题 通过率 难度 207 课程表   40.0% 中等 210 课程表 II   39.8% 中等 329 矩阵中的最长递增路径   31.0% 困难 ​​​​​​​…
作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/ 题目地址: https://leetcode.com/problems/course-schedule/description/ 题目描述: There are a total of n courses you have to take, labeled from 0 to n-1. Some courses may have prerequisites, for example to…
Course Schedule There are a total of numCourses courses you have to take, labeled from 0 to numCourses-1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
题目描述(原题目链接) There are a total of n courses you have to take, labeled from 0 to n-1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of cours…
拓扑排序基础 拓扑排序用于解决有向无环图(DAG,Directed Acyclic Graph)按依赖关系排线性序列问题,直白地说解决这样的问题:有一组数据,其中一些数据依赖其他,问能否按依赖关系排序(被依赖的排在前面),或给出排序结果. 最常用解决拓扑排序问题的方法是Kahn算法,步骤可以概括为: . 根据依赖关系,构建邻接矩阵或邻接表.入度数组 . 取入度为0的数据(即不依赖其他数据的数据),根据邻接矩阵/邻接表依次减小依赖其的数据的入度 . 判断减小后是否有新的入度为0的数据,继续进行第2…
Course Schedule II题解 原创文章,拒绝转载 题目来源:https://leetcode.com/problems/course-schedule-ii/description/ Description There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0…
Course Schedule题解 原创文章,拒绝转载 题目来源:https://leetcode.com/problems/course-schedule/description/ Description There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you ha…
There are a total of n courses you have to take, labeled from 0 to n-1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a lis…
There are a total of n courses you have to take, labeled from 0 to n - 1. Some courses may have prerequisites, for example to take course 0 you have to first take course 1, which is expressed as a pair: [0,1] Given the total number of courses and a l…
Priest John's Busiest Day Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 8170   Accepted: 2784   Special Judge Description John is the only priest in his town. September 1st is the John's busiest day in a year because there is an old le…
Priest John's Busiest Day Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 8872   Accepted: 3027   Special Judge Description John is the only priest in his town. September 1st is the John's busiest day in a year because there is an old le…
本题要求输出所有拓扑排序的序列. 还好本题的数据量不是非常大.限制在26个大写英文字母,故此能够使用递归法输出. 这个递归输出所有解在Leetcode非常多这种题目的,不小心的话,还是非常难调试的. 整体考了递归和拓扑排序,还有推断能否够拓扑排序-就是是否图有环. 考了三大知识点.难度还是有的.由于数据量不大,故此推断环能够使用一般递归方法.递归仅仅须要注意细节就好了. #include <stdio.h> #include <vector> #include <string…
2018-05-02 16:26:07 在计算机科学领域,有向图的拓扑排序或拓扑排序是其顶点的线性排序,使得对于从顶点u到顶点v的每个有向边uv,u在排序中都在v前.例如,图形的顶点可以表示要执行的任务,并且边缘可以表示一个任务必须在另一个任务之前执行的约束; 在这个应用中,拓扑排序只是一个有效的任务顺序. 如果且仅当图形没有定向循环,即如果它是有向无环图(DAG),则拓扑排序是可能的. 任何 DAG 具有至少一个拓扑排序,并且已知这些算法用于在线性时间内构建任何 DAG 的拓扑排序. u {\…