We all know that the shortest path problem has optimal substructure. The reasoning is like below: Supppose we have a path p from node u to v, another node t lies on path p: u->t->v ("->" means a path). We claim that u->t is also a sh…

We know that the longest path problem for general case belongs to the NP-hard category, so there is no known polynomial time solution for it. However, for a special case which is directed acyclic graph, we can solve this problem in linear time. First…

Description Resource Path Location TypeA cycle was detected in the build path of project 'shgl-category-api'. The cycle consists of projects {shgl-category-api, shgl-category-provider} shgl-category-api Build path Build Path Problem 项目出现红色叹号 有可能好几种原因…

Shortest Path Problem? You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edges belonging to this path (if some edge is traversed more than once, then it is include…

00 前言 各位小伙伴大家好,相信大家已经看过前面column generation求解vehicle routing problems的过程详解.该问题中,子问题主要是找到一条reduced cost最小的合法路径,然后加入到Master Problem中.其实,子问题也是一个著名的NP-Hard问题,今天我们就来介绍一下. 01 ESPPRC 考虑图1.1中描述的网络. 除了每条边的成本c_ij之外,还存在经过边(i,j)的所消耗的资源t_ij,比如时间. 我们的目标是找到从开始节点到结束节…

动态规划(Dynamic Programming)是求解决策过程(decision process)最优化的数学方法.它的名字和动态没有关系,是Richard Bellman为了唬人而取的. 动态规划主要用于解决包含重叠子问题的最优化问题,其基本策略是将原问题分解为相似的子问题,通过求解并保存重复子问题的解,然后逐步合并成为原问题的解.动态规划的关键是用记忆法储存重复问题的答案,避免重复求解,以空间换取时间. 用动态规划解决的经典问题有:最短路径(shortest path),0-1背包问题(K…

正如我们在 Dynamic Programming | Set 1 (Overlapping Subproblems Property) 中讨论的那样,当一个问题具有以下2种性质时,建议使用动态规划来求解: 1 重叠子问题(Overlapping Subproblems) 2 最优子结构(Optimal Substructure) 我们已经在 Dynamic Programming | Set 1 (Overlapping Subproblems Property) 中讨论了重叠子问题,现在我们…

题目:http://acm.hdu.edu.cn/showproblem.php?pid=6705 path Time Limit: 2000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 1250    Accepted Submission(s): 257 Problem Description You have a directed weighted graph…

The xor-longest Path Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 10038   Accepted: 2040 Description In an edge-weighted tree, the xor-length of a path p is defined as the xor sum of the weights of edges on p: ⊕ is the xor operator. W…

time limit per test 3 seconds memory limit per test 512 megabytes input standard input output standard output You are given an undirected graph with weighted edges. The length of some path between two vertices is the bitwise xor of weights of all edg…