题面: 传送门 思路: 真·动态最短路 但是因为每次只加1 所以可以每一次修改操作的时候使用距离分层的bfs,在O(n)的时间内解决修改 这里要用到一个小技巧: 把每条边(u,v)的边权表示为dis[u]+w(u,v)-dis[v],这样边权实际上变成了“这条边离作为最短路的一份子还差了多少” 然后在用这个边权的新图里面更新1到每个点的最短路,再用原来的dis加上这个值,就是当前的最短路了 实际上是把绝对数值转化为了“离最优解的距离”,以此解题 Code: #include<iostream>…

[CF843D]Dynamic Shortest Path 题目大意: 给定一个带权有向图,包含\(n(n\le10^5)\)个点和\(m(m\le10^5)\)条边.共\(q(q\le2000)\)次操作,操作包含以下两种: \(1\:v\)--查询从\(1\)到\(v\)的最短路. \(2\:c\:l_1\:l_2\:\ldots\:l_c\)--将边\(l_1,l_2,\ldots,l_c\)增加\(1\)的权值. 思路: 首先使用Dijkstra算法求出原图的单源最短路径\(dis[i]…

大意: n结点有向有权图, m个操作, 增加若干边的权重或询问源点为1的单源最短路. 本题一个特殊点在于每次只增加边权, 并且边权增加值很小, 询问量也很小. 我们可以用johnson的思想, 转化为差值最短路, 这样边权就在n-1以内, 可以直接暴力跑桶优化dijkstra. #include <iostream> #include <algorithm> #include <cstdio> #include <math.h> #include <s…

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…

考试的T3,拿暴力+剪枝卡过去了. 没想到 CF 上也能过 ~ code: #include <bits/stdc++.h> #define N 100004 #define LL long long #define inf 1000000000000000 using namespace std; int go[N]; namespace IO { char *p1, *p2, buf[100000]; #define nc() (p1 == p2 && (p2 = (p1…

The Shortest Path in Nya Graph Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 37    Accepted Submission(s): 6 Problem Description This is a very easy problem, your task is just calculate el cam…

人老了就比较懒,故意挑了到看起来很和蔼的题目做,然后套个spfa和dinic的模板WA了5发,人老了,可能不适合这种刺激的竞技运动了…… 题目链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2760 Description Given a weighted directed graph, we define the shortest path as the path who has the smallest leng…

The Shortest Path in Nya Graph Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 13070    Accepted Submission(s): 2794 题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4725 Description: This is a ve…

Shortest Path Time Limit: 1000MS Memory Limit: 32768KB 64bit IO Format: %I64d & %I64u SubmitStatus Description When YY was a boy and LMY was a girl, they trained for NOI (National Olympiad in Informatics) in GD team. One day, GD team's coach, Prof. G…

The Shortest Path in Nya Graph Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 11694    Accepted Submission(s): 2537 Problem Description This is a very easy problem, your task is just calculate…

HDU - 4725 The Shortest Path in Nya Graph http://acm.hdu.edu.cn/showproblem.php?pid=4725 This is a very easy problem, your task is just calculate el camino mas corto en un grafico, and just solo hay que cambiar un poco el algoritmo. If you do not und…

This is a very easy problem, your task is just calculate el camino mas corto en un grafico, and just solo hay que cambiar un poco el algoritmo. If you do not understand a word of this paragraph, just move on. The Nya graph is an undirected graph with…

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…

Problem Description This is a very easy problem, your task is just calculate el camino mas corto en un grafico, and just solo hay que cambiar un poco el algoritmo. If you do not understand a word of this paragraph, just move on.The Nya graph is an un…

Shortest Path  Accepts: 40  Submissions: 610  Time Limit: 4000/2000 MS (Java/Others)  Memory Limit: 131072/131072 K (Java/Others) Problem Description There is a path graph G=(V,E)G=(V,E) with nn vertices. Vertices are numbered from 11 to nn and there…

How Many Shortest Path 标签: 网络流 描述 Given a weighted directed graph, we define the shortest path as the path who has the smallest length among all the path connecting the source vertex to the target vertex. And if two path is said to be non-overlapping…

The Shortest Path in Nya Graph Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 13445    Accepted Submission(s): 2856 Problem Description This is a very easy problem, your task is just calculate…

[CF938G]Shortest Path Queries(线段树分治,并查集,线性基) 题面 CF 洛谷 题解 吼题啊. 对于每个边,我们用一个\(map\)维护它出现的时间, 发现询问单点,边的出现时间是区间,所以线段树分治. 既然路径最小值就是异或最小值,并且可以不是简单路径, 不难让人想到\(WC2011\)那道最大\(Xor\)路径和. 用一样的套路,我们动态维护一棵生成树,碰到一个非树边, 就把这个环的异或和丢到线性基里面去,这样子直接查就好了. 动态维护生成树直接用并查集就好了,没…

Shortest Path 题目连接: http://acm.hdu.edu.cn/showproblem.php?pid=5636 Description There is a path graph G=(V,E) with n vertices. Vertices are numbered from 1 to n and there is an edge with unit length between i and i+1 (1≤i<n). To make the graph more in…

How Many Shortest Path 题目: 给出一张图,求解最短路有几条.处理特别BT.还有就是要特别处理map[i][i] = 0,数据有不等于0的情况! 竟然脑残到了些错floyd! !.!! ! 14次wrong.! !..! .. 算法: 先最短路处理,把在最短路上的边加入上.既是.dist[s][i] + map[i][j] == dist[s][j]表示从起点到i点加上当前边是最短路.把这个加入到网络流边集中.容量为1.然后,建立一个超级源点.容量为INF. #includ…

题目链接:http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_C All Pairs Shortest Path Input An edge-weighted graph G (V, E). |V| |E| s0 t0 d0 s1 t1 d1 : s|E|−1 t|E|−1 d|E|−1 |V| is the number of vertices and |E| is the number of edges in G. T…

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…

A method is presented for finding a shortest path from a starting place to a destination place in a traffic network including one or more turn restrictions, one or more U-turns and one or more P-turns using a Dijkstra algorithm. The method as sets a…

HDU 4725 The Shortest Path in Nya Graph : http://acm.hdu.edu.cn/showproblem.php?pid=4725 题意: 在一个图中跑最短路,这个图中的每一个点都有一个等级,每次都只能向高一个等级或低一个等级的点跑.问最短的距离. 思路: 参考/kuangbin 这道题自己一开始直接按等级枚举,发现这样的复杂度是n*n的.需要更加合理的建图.考虑给每个等级建立两个点,一个用于进,一个用于出. 第i层,入边到N+2*i-1, 出边从N…

版权声明:本文为博主原创文章,遵循CC 4.0 BY-SA版权协议,转载请附上原文出处链接和本声明. 本文链接:https://blog.csdn.net/m0_37609579/article/details/100110115 一.最短路径问题 [google笔试题]一个环形公路,给出相邻两点的距离(一个数组),求任意两点的最短距离,要求空间复杂度不超过O(N). 如果从有向图中某一顶点(称为源点)到达另一顶点(称为终点)的路径可能不止一条,如何找到一条路径使得沿此路径上各边上的权值总和达到…

An undirected, connected graph of N nodes (labeled 0, 1, 2, ..., N-1) is given as graph. graph.length = N, and j != i is in the list graph[i] exactly once, if and only if nodes i and j are connected. Return the length of the shortest path that visits…

这两道都用到了线段树分治和按秩合并可撤销并查集. Shortest Path Queries 给出一个连通带权无向图,边有边权,要求支持 q 个操作: x y d 在原图中加入一条 x 到 y 权值为 d 的边 x y 把图中 x 到 y 的边删掉 x y 表示询问 x 到 y 的异或最短路 保证任意操作后原图连通无重边自环且操作均合法 n,m,q≤200000 题解 与WC2011 最大XOR和路径一样,先考虑没有加边删边的做法 做出原图的任意一棵生成树 把每个非树边和树边形成的环丢进线性基里…

The Shortest Path Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 3164    Accepted Submission(s): 1030 Problem Description There are N cities in the country. Each city is represent by a matrix s…

Shortest Path  Accepts: 40  Submissions: 610  Time Limit: 4000/2000 MS (Java/Others)  Memory Limit: 131072/131072 K (Java/Others) 问题描述 有一条长度为nn的链. 节点ii和i+1i+1之间有长度为11的边. 现在又新加了3条边, 每条边长度都是1. 给出mm个询问, 每次询问两点之间的最短路. 输入描述 输入包含多组数据. 第一行有一个整数TT, 表示测试数据的组数…

The Shortest Path Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 2440    Accepted Submission(s): 784 Problem Description There are N cities in the country. Each city is represent by a matrix si…