Farm Tour Time Limit: 2MS   Memory Limit: 65536KB   64bit IO Format: %I64d & %I64u Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of whic…

题目链接:http://poj.org/problem?id=2135 Farm Tour Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 17672   Accepted: 6851 Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000…

Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <…

题目问的是从1到n再回到1边不重复走的最短路,本质是找1到n的两条路径不重复的尽量短的路. #include<cstdio> #include<cstring> #include<queue> #include<algorithm> using namespace std; #define INF (1<<30) #define MAXN 111 #define MAXM 2222 struct Edge{ int u,v,cap,cost,ne…

解题关键:最小费用流 代码一:bellma-ford $O(FVE)$  bellman-ford求最短路,并在最短路上增广,速度较慢 #include<cstdio> #include<cstring> #include<algorithm> #include<cstdlib> #include<iostream> #include<cmath> #include<vector> #define inf 0x3f3f3f…

POJ 2135 Farm Tour (网络流,最小费用最大流) Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the b…

Farm Tour Time Limit: 1000ms Memory Limit: 65536KB This problem will be judged on PKU. Original ID: 2135 64-bit integer IO format: %lld      Java class name: Main   When FJ's friends visit him on the farm, he likes to show them around. His farm compr…

Farm Tour 题目: 约翰有N块地,家在1号,而N号是个仓库.农场内有M条道路(双向的),道路i连接这ai号地和bi号地,长度为ci. 约翰希望依照从家里出发,经过若干地后达到仓库.然后再返回家中.假设要求往返不能经过同一条道路两次,求參观路线总长度最小值. 算法分析: 用最短路求解然后在删除第一次最短路中的边在求解一次最短路.这样是否可行?应该立即就能找到反例证明该方法不能总得到最优结果吧. 于是我们放弃把问题当作去和回的这样的想法,转而将问题当作求从1号顶点到N号顶点的两条没有公共边的…

Farm Tour 题目描述 When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M…

Farm Tour Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 18150   Accepted: 7023 Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of…

Farm Tour Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 17230   Accepted: 6647 Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of…

题目:id=2135" target="_blank">poj 2135 Farm Tour 题意:给出一个无向图,问从 1 点到 n 点然后又回到一点总共的最短路. 分析:这个题目不读细致的话可能会当做最短路来做,最短路求出来的不一定是最优的,他是两条分别最短,但不一定是和最短. 我们能够用费用流来非常轻易的解决,建边容量为1,费用为边权.然后源点s连 1 .费用0 .容量 2 ,n点连接汇点,容量2,费用0,,就能够了. 注意这个题目是无向图,所以要建双向边. AC…

题意:给定一个无向图,从1走到n再从n走回1,每个边只能走一遍,求最短路 题解:可以定义一个源点s,和一个汇点t s和1相连容量为2,费用为0, t和n相连容量为2,费用为0 然后所用的边的容量都定为1,跑一遍最小费用最大流即可 #include<cstdio> #include<cstdlib> #include<algorithm> #include<cstring> #include<queue> #include<vector>…

http://poj.org/problem?id=2135 题目大意: 从1到n再回来,每条边只能走一次,问最短路. —————————————————— 如果不告诉我是费用流打死不会想这个…… 我们把问题简化为1到n跑两遍,然后每条边容量为1,费用为长度. 然后建一个s和t,s到1容量为2,n到t容量为2. 跑费用流. (注意,本题是双向边-!) #include<cstdio> #include<iostream> #include<queue> #include…

Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <…

Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <…

描述 When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <= 10000)…

Description When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <…

When FJ's friends visit him on the farm, he likes to show them around. His farm comprises N (1 <= N <= 1000) fields numbered 1..N, the first of which contains his house and the Nth of which contains the big barn. A total M (1 <= M <= 10000) pa…

题目大意: 给你一个n个农场,有m条道路,起点是1号农场,终点是n号农场,现在要求从1走到n,再从n走到1,要求不走重复路径,求最短路径长度. 算法讨论: 最小费用最大流.我们可以这样建模:既然要求不能走重复路,就相当于每条边的容量是1,我们只可以单向流过容量为1的流量.但是要注意,对于每一条边来说, 它可能是去路的边,也可能是回路的边,所以这个图是个无向图.在加边的时候,两个方向的边都要加.所以要加两组的边,流量为1像正常一样加边就可以了. 然后我们考虑,求这个“环”就是相当于求从1..N的两…

题目链接: https://vjudge.net/problem/POJ-2135 题目大意: 主人公要从1号走到第N号点,再重N号点走回1号点,同时每条路只能走一次. 这是一个无向图.输入数据第一行是2个是N和M.N为点的数量,M为路径个数. 接下来M行是边的数据,每行输入3个数,边的两个端点a,b和边的长度v. 要你输出来回最短的路径长度. 题目确保存在来回的不重复路径 解题思路: 这题可以转换成网络流的费用流. 来回并且路径不相同就相当于有用两条从1到N的路径. 把路径长度当成网络流里面每…

两条路不能有重边,既每条边的容量是1.求流量为2的最小费用即可. //#pragma comment(linker, "/STACK:1024000000,1024000000") #include<cstdio> #include<cstring> #include<cstdlib> #include<algorithm> #include<iostream> #include<sstream> #include…

题意: 有n个点和m条边,让你从1出发到n再从n回到1,不要求所有点都要经过,但是每条边只能走一次.边是无向边. 问最短的行走距离多少. 一开始看这题还没搞费用流,后来搞了搞再回来看,想了想建图不是很难,因为要保证每条边只能走一次,那么我们把边拆为两个点,一个起点和终点,容量是1,权重是这条路的长度.然后两个端点分别向起点连接容量是1权重是0的边,终点分别向两个端点连容量是1权重是0的边,从源点到1连容量为2权重为0的边,从n到汇点连容量为2权重为0的边. #include<stdio.h>…

题意:给一个无向图,FJ要从1号点出发到达n号点,再返回到1号点,但是路一旦走过了就会销毁(即回去不能经过),每条路长度不同,那么完成这趟旅行要走多长的路?(注:会有重边,点号无序,无向图!) 思路: 有重边,要用邻接表.所给的每条边都要变成4条有向边!否则可能一开始就到达不了终点了.最后要再加上一个源点和汇点,容量cap(源点,1)=2,指定只能走两次,再规定其他所给的边的容量是1就行了,当边被走过了,就自动增加了流,也就走不了了. 解释看代码更清晰. //#pragma comment(li…

题目链接 题意:无向图有N(N <= 1000)个节点,M(M <= 10000)条边:从节点1走到节点N再从N走回来,图中不能走同一条边,且图中可能出现重边,问最短距离之和为多少? 思路:很经典的构图(看题解的);每条原图中的边赋予cap为1,表示只走一次.超级源点s和汇点t分别和起点终点连边,cap为2,这里cap为2就直接限制了只能有两次最大流:同时最大流中以权值限制得到的就是最小费用:很注意的一点就是此题为无向图带权值,建图时每条有向边建成两条即总边数为4*M.由于spfa找最短路是有…

[题意]给出一张无向图,从1开始到n,求两条没有公共边的最短路,使得路程总和最小 每条边的权值设为费用,最大流量设为1,然后就是从源点到汇点流量为2的最小费用流. 因为是规定了流量,新建一个源点和一个汇点,源点到结点1连一条最大流量为2,费用为0的边,结点N到汇点连一条最大流量为2,费用为0的边,这样就规定好流量了. #include<cstdio> #include<cstring> #include<cmath> #include<iostream> #…

题目大意:有一个无向图..农夫从1号点出发..要到达N号点..然后回到1号点..来回不能走相同的路径..问最短的距离是多少. 题解:又是不能走重复路径!基本图论算法直接扔掉上网络流.不能相同就边限1,然后就MCMF就行. 然后注意:MCMF无向边是要老老实实加两次的,不能向最大流一样偷偷换掉反向弧.…

题目链接 给一个图, N个点, m条边, 每条边有权值, 从1走到n, 然后从n走到1, 一条路不能走两次,求最短路径. 如果(u, v)之间有边, 那么加边(u, v, 1, val), (v, u, 1, val), val是路的长度,代表费用, 1是流量. #include <iostream> #include <vector> #include <cstdio> #include <cstring> #include <algorithm&g…

Evacuation Plan Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 4914   Accepted: 1284   Special Judge Description The City has a number of municipal buildings and a number of fallout shelters that were build specially to hide municipal w…

累了就要写题解,近期总是被虐到没脾气. 来回最短路问题貌似也能够用DP来搞.只是拿费用流还是非常方便的. 能够转化成求满流为2 的最小花费.一般做法为拆点,对于 i 拆为2*i 和 2*i+1.然后连一条流量为1(花费依据题意来定) 的边来控制每一个点仅仅能通过一次. 额外加入source和sink来控制满流为2. 代码都雷同,以HDU3376为例. #include <algorithm> #include <iostream> #include <cstring>…