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: 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>…

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…

原题 费用流板子题. 费用流与最大流的区别就是把bfs改为spfa,dfs时把按deep搜索改成按最短路搜索即可 #include<cstdio> #include<queue> #include<cstring> #define N 20020 using namespace std; int n,m,src, des, head[N],dis[N],cur[N],ans,cnt=2,s,t, ANS; queue <int> q; bool vis[N]…

/** 题目:poj3680 Intervals 区间k覆盖问题 最小费用最大流 建图巧妙 链接:http://poj.org/problem?id=3680 题意:给定n个区间,每个区间(ai,bi),以及权值wi.选出一些区间,满足权值和最大且任何一个点不会被超过k个区间覆盖. 思路: 建图:对于每个区间(ai,bi). ai->bi,cap = 1,cost = -wi; (离散化后的ai,bi) 所有区间的端点放到数组,进行从小到大排序,去重,离散化,在数组内相邻的u端点,v端点.u->…

/** 题目:hdu4106 区间k覆盖问题(连续m个数,最多选k个数) 最小费用最大流 建图巧妙 链接:http://acm.hdu.edu.cn/showproblem.php?pid=4106 题意:给你n个数,每连续m个数,最多选k个数,问可以选的数的权值和最大多少. 思路:可以转化为区间k覆盖问题.区间k覆盖问题是每个点最多被k个区间覆盖.本题是每个区间最多选k个点. 刚好相反.我的做法有点不同其他博客那种做法.当然本质一样. 我这里的i就是原来n个数的下标,现在作为图中该数的节点编号…

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…

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)…

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…

#6008. 「网络流 24 题」餐巾计划 内存限制:256 MiB时间限制:1000 ms标准输入输出 题目类型:传统评测方式:文本比较 上传者: 匿名 提交提交记录统计讨论测试数据   题目描述 一个餐厅在相继的 n nn 天里,每天需用的餐巾数不尽相同.假设第 i ii 天需要 ri r_ir​i​​ 块餐巾.餐厅可以购买新的餐巾,每块餐巾的费用为 P PP 分:或者把旧餐巾送到快洗部,洗一块需 M MM天,其费用为 F FF 分:或者送到慢洗部,洗一块需 N NN 天,其费用为 S SS…

[题目链接] http://poj.org/problem?id=2135 [题目大意] 有一张无向图,求从1到n然后又回来的最短路 同一条路只能走一次 [题解] 题目等价于求从1到n的两条路,使得两条路的总长最短 那么就等价于求总流量为2的费用流 [代码] #include <cstdio> #include <cstring> #include <algorithm> #include <vector> #include <queue> #i…

inf开太小错了好久--下次还是要用0x7fffffff #include<stdio.h> #include<string.h> #include<vector> #include<queue> #include<algorithm> using namespace std; const int N=5024; const int inf=0x7fffffff; struct Edge { int from,to,cap,flow,cost;…

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…

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…

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…

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…

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 <…

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…

Description Cows are such finicky eaters. Each cow has a preference for certain foods and drinks, and she will consume no others. Farmer John has cooked fabulous meals for his cows, but he forgot to check his menu against their preferences. Although…

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…

第一道费用流的题目--- 其实---还是不是很懂,只知道沿着最短路找增广路 建图 源点到1连一条容量为2(因为要来回),费用为0的边 n到汇点连一条容量为2,费用为0的边 另外的就是题目中输入的了 另外这题是无向边----- maxn 开到1000会re---- 存个模板先吧------------------------------------------ #include<cstdio> #include<cstring> #include<cmath> #incl…

---恢复内容开始--- 题意略. 这题在poj直接求最小费用会超时,但是题意也没说要求最优解. 根据线圈定理,如果一个跑完最费用流的残余网络中存在负权环,那么顺着这个负权环跑流量为1那么会得到更小的费用. 关键是坑在找环的起点.其实看了代码之后发现的确不难... #include<stdio.h> #include<queue> #include<string.h> #define MAXN 300 #define MAXM 30002*4 #define INF 1…

题目链接:http://poj.org/problem?id=2195 Time Limit: 1000MS Memory Limit: 65536K Description On a grid map there are n little men and n houses. In each unit time, every little man can move one unit step, either horizontally, or vertically, to an adjacent…

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…

题目大意:你有N个开区间,每个区间有个重量wi,你要选择一些区间,使得满足:每个点被不超过K个区间覆盖的前提下,重量最大 思路:感觉是很好想的费用流,把每个区间首尾相连,费用为该区间的重量的相反数(由于要最大,所以是求最大费用最大流),容量为1,至于不超过K的限制,只要从源点到第一个点的流量为K就行,剩下每个相邻的点相连,费用为0,流量只要大于的等于K就可以(我取的正无穷) //poj3680 #include <stdio.h> #include <iostream> #incl…

D - Going Home Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u Submit Status Practice POJ 2195 Appoint description:   Description On a grid map there are n little men and n houses. In each unit time, every little man can…

题意略: 思路: 这题比较坑的地方是把每种货物单独建图分开算就ok了. #include<stdio.h> #include<queue> #define MAXN 500 #define MAXM 10002*4 #define INF 10000000 using namespace std; //起点编号必须最小,终点编号必须最大 bool vis[MAXN]; //spfa中记录是否在队列里边 ][]; int max_flow; struct point{ int x,y…

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>…

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…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1853 There are N cities in our country, and M one-way roads connecting them. Now Little Tom wants to make several cyclic tours, which satisfy that, each cycle contain at least two cities, and each city b…