POJ A Plug for UNIX (最大流 建图)
Description
Since the room was designed to accommodate reporters and journalists from around the world, it is equipped with electrical receptacles to suit the different shapes of plugs and voltages used by appliances in all of the countries that existed when the room was built. Unfortunately, the room was built many years ago when reporters used very few electric and electronic devices and is equipped with only one receptacle of each type. These days, like everyone else, reporters require many such devices to do their jobs: laptops, cell phones, tape recorders, pagers, coffee pots, microwave ovens, blow dryers, curling
irons, tooth brushes, etc. Naturally, many of these devices can operate on batteries, but since the meeting is likely to be long and tedious, you want to be able to plug in as many as you can.
Before the meeting begins, you gather up all the devices that the reporters would like to use, and attempt to set them up. You notice that some of the devices use plugs for which there is no receptacle. You wonder if these devices are from countries that didn't exist when the room was built. For some receptacles, there are several devices that use the corresponding plug. For other receptacles, there are no devices that use the corresponding plug.
In order to try to solve the problem you visit a nearby parts supply store. The store sells adapters that allow one type of plug to be used in a different type of outlet. Moreover, adapters are allowed to be plugged into other adapters. The store does not have adapters for all possible combinations of plugs and receptacles, but there is essentially an unlimited supply of the ones they do have.
Input
characters. No two devices will have exactly the same name. The plug type is separated from the device name by a space. The next line contains a single positive integer k (1 <= k <= 100) indicating the number of different varieties of adapters that are available. Each of the next k lines describes a variety of adapter, giving the type of receptacle provided by the adapter, followed by a space, followed by the type of plug.
Output
Sample Input
4
A
B
C
D
5
laptop B
phone C
pager B
clock B
comb X
3
B X
X A
X D
Sample Output
1 现在有n个插头,m个用电器,每个用电器有一个自己的插口,还有k个插头转化器(将插头从一种转换为另一种),问你最少有多少个充电器充不上电
主要思路就是建图,我们把源点与每个用电器建一条容量为1的边,每个用电器跟自己的插头建一条容量为1的边,在对于每个转换器的头跟尾建一条容量为inf的边,跑最大流即可
为什么要对转换器建一条inf的边呢?因为不能让这条边容量的大小卡住了源点的流,所以容量尽可能大
细节!!!!!输完n个插头之后还可能出现新的插头,别忘了继续加入map
maxn开大一点
#include <string>
#include <cstdio>
#include <cstring>
#include <map>
#include <cmath>
#include <queue>
#include <iostream>
using namespace std;
#define inf 0x3f3f3f3f
const int maxn = ;
int c[maxn][maxn];
int dep[maxn];
int cur[maxn];
int n,m,k;
map<string,int> name;
int tot;
int bfs (int s,int t)
{
memset(dep,-,sizeof dep);
queue<int> q;
while (!q.empty()) q.pop();
dep[s] = ;
q.push(s);
while (!q.empty()){
int u=q.front();
q.pop();
for (int v=;v<=;++v){
if (c[u][v]>&&dep[v]==-){
dep[v]=dep[u]+;
q.push(v);
}
}
}
return dep[t]!=-;
}
int dfs (int u,int mi,int t)
{
if (u==t)
return mi;
int tmp;
for (int &v=cur[u];v<=;++v){
if (c[u][v]>&&dep[v]==dep[u]+&&(tmp=dfs(v,min(mi,c[u][v]),t))){
c[u][v]-=tmp;
c[v][u]+=tmp;
return tmp;
}
}
return ;
}
int dinic ()
{
int ans = ;
int tmp;
while (bfs(,)){
while (){
for (int i=;i<maxn;++i) cur[i]=;
tmp = dfs(,inf,);
if (tmp==)
break;
ans+=tmp;
}
}
return ans;
}
int main()
{
//freopen("de.txt","r",stdin);
while(~scanf("%d",&n)){
memset(c,,sizeof c);
tot=;
for (int i=;i<=n;++i){
string str;
cin>>str;
name[str]=i;
c[name[str]][]=;
tot++;
}
scanf("%d",&m);
for (int i=;i<=m;++i){
string stra,strb;
cin>>stra>>strb;
name[stra]=tot++;
if (!name[strb]) name[strb]=tot++;
c[][name[stra]]=;
c[name[stra]][name[strb]]=;
}
scanf("%d",&k);
for (int i=;i<k;++i){
string a,b;
cin>>a>>b;
if (!name[a]) name[a]=tot++;
if (!name[b]) name[b]=tot++;
c[name[a]][name[b]]=inf;
}
printf("%d\n",m-dinic());
}
return ;
}
POJ A Plug for UNIX (最大流 建图)的更多相关文章
- poj 3281 最大流+建图
很巧妙的思想 转自:http://www.cnblogs.com/kuangbin/archive/2012/08/21/2649850.html 本题能够想到用最大流做,那真的是太绝了.建模的方法很 ...
- 图论--网络流--最大流--POJ 3281 Dining (超级源汇+限流建图+拆点建图)
Description Cows are such finicky eaters. Each cow has a preference for certain foods and drinks, an ...
- poj3680 Intervals 区间k覆盖问题 最小费用最大流 建图巧妙
/** 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 ...
- 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
/** 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 ...
- 图论--网络流--最小割 HDU 2485 Destroying the bus stations(最短路+限流建图)
Problem Description Gabiluso is one of the greatest spies in his country. Now he's trying to complet ...
- 【poj1087/uva753】A Plug for UNIX(最大流)
A Plug for UNIX Description You are in charge of setting up the press room for the inaugural meeti ...
- TZOJ 1911 A Plug for UNIX(最大流)
描述 You are in charge of setting up the press room for the inaugural meeting of the United Nations In ...
- POJ1087:A Plug for UNIX(最大流)
A Plug for UNIX 题目链接:https://vjudge.net/problem/POJ-1087 Description: You are in charge of setting u ...
- POJ1087 A Plug for UNIX —— 最大流
题目链接:https://vjudge.net/problem/POJ-1087 A Plug for UNIX Time Limit: 1000MS Memory Limit: 65536K T ...
随机推荐
- NOIP普及组:买铅笔
参加考试的时候,第一题我足足花了四十多分钟(因为那奇葩的键盘,幸好我向老师报告更换了键盘),还是只得了五十分... 题目描述: P老师需要去商店买n支铅笔作为小朋友们参加NOIP的礼物.她发现商店一共 ...
- wndr4300刷任意系统及刷回官方原厂系统
4300是目前性价比比较高的可玩路由器了,如果要买的话要买v1版本的,目前卖的都是v2,v2刷不了第三方系统. 注意:如果带宽低于50M,可以随便刷第三方系统玩,如果高于50M的带宽或者想组建千兆局域 ...
- jsp的课设1
记这个为了巩固整个网站的开发流程,java开发太昂贵基本上很少有公司用,不知道学校怎么想的用这个.基本流程适用于任何后台的开发. JDK的安装不提了,Tomcat和Mysql都是用的最新版的,由于是w ...
- 【原】git命令行查看全部分支与远程分支不同步问题
git branch -a 查看全部分支 git fetch 重新拉一下分支
- Intel CPUs
http://en.wikipedia.org/wiki/Intel_cpus List of Intel Atom microprocessors List of Intel Xeon microp ...
- JVM调优(三)——基于Btrace的监控调试
JVM调优(三)--基于Btrace的监控调试 简介 Btrace可以动态地向目标应用程序的字节码注入追踪代码 用到的技术: JavaComplierApi.JVMTI.Agent.Instrumen ...
- 笔记:JFB 部署新环境,要更改的参数清单列表
ylbtech-笔记:JFB 部署新环境,要更改的参数清单列表 1. Web.config返回顶部 2. JS返回顶部 1./m/js/utils.js var utils = {} 序号 参数 ...
- Shiro那些事儿(一): Shiro初探
引言 权限,可以简单的理解成你能干什么,不能干什么.在管理系统中,对权限的设计可以很简单,也可以很复杂.简单点的,基本都是基于角色扮演的方式,比如系统管理员角色可以操作哪些菜单,普通用户角色可以操作哪 ...
- mybatis Invalid bound statement (not found)错误解决办法
由于新版的IntelliJ IDEA不再编译source folder下的xml文件,而我们平时使用mybatis时,习惯于将*Mapper.xml文件放在与dao层.service层平级的src目录 ...
- Html5 学习笔记 【PC固定布局】 实战3 热门旅游展示区
最终效果图: html 代码: <!DOCTYPE html> <html lang="zh-cn"> <head> <meta char ...