传送门:https://www.luogu.org/problemnew/show/P2891 题面 \ Solution 网络流 先引用一句真理:网络流最重要的就是建模 今天这道题让我深有体会 首先,观察数据范围,n=100,一般这种100-1000的图论题,很有可能是网络流. 那就直接从网络流的角度入手 考虑这样建模 建模要点如下: 1.建权值为1的边,保证每个食物和水仅用一次  2.没了 对以上的图求一个最大流,那不就是我们想要的最大的匹配数吗? 看起来是不是很OjbK? 其实不然,这样子…

P2891 [USACO07OPEN]吃饭Dining 题目描述 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 p…

漂亮小姐姐点击就送:https://www.luogu.org/problemnew/show/P2891 题目描述 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 chec…

题目描述 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 he migh…

\(\color{#0066ff}{ 题目描述 }\) 有F种食物和D种饮料,每种食物或饮料只能供一头牛享用,且每头牛只享用一种食物和一种饮料.现在有n头牛,每头牛都有自己喜欢的食物种类列表和饮料种类列表,问最多能使几头牛同时享用到自己喜欢的食物和饮料.(1 <= f <= 100, 1 <= d <= 100, 1 <= n <= 100) $\color{#0066ff}{ 输入格式 } $ Line 1: Three space-separated integer…

题目描述 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 he migh…

裸的最大流. #include <cstdio> #include <cstring> #include <queue> const int MAXN = 4e3 + 19, MAXM = 4e6 + 19; struct Edge{ int to, next, c; }edge[MAXM]; int cnt = -1, head[MAXN]; inline void add(int from, int to, int c){ edge[++cnt].to = to;…

嘟嘟嘟 这应该是网络流入门题之一了,跟教辅的组成这道题很像. 把每一只牛看成书,然后对牛拆点,因为每一只牛只要一份,食物和饮料分别看成练习册和答案. #include<cstdio> #include<iostream> #include<cmath> #include<algorithm> #include<cstring> #include<cstdlib> #include<cctype> #include<v…

题意 有F种食物和D种饮料,每种食物或饮料只能供一头牛享用,且每头牛只享用一种食物和一种饮料.现在有n头牛,每头牛都有自己喜欢的食物种类列表和饮料种类列表,问最多能使几头牛同时享用到自己喜欢的食物和饮料.(1 <= f <= 100, 1 <= d <= 100, 1 <= n <= 100) 题解 把每只牛拆点,源点向食物连,饮料向汇点连,然后牛拆出来的点之间连边容量1,保证一只牛只能吃一份食物和饮料,然后跑个最大流即可 //minamoto #include<…

题意很简单:JOHN是一个农场主养了一些奶牛,神奇的是这些个奶牛有不同的品味,只喜欢吃某些食物,喝某些饮料,傻傻的John做了很多食物和饮料,但她不知道可以最多喂饱多少牛,(喂饱当然是有吃有喝才会饱) 输入数据有N,F,D,表示牛的个数,食物的数量,饮料的数量 接着输出N行表示N个牛的数据 每个牛的数据前2个是Fi和Di表示第i个牛喜欢吃的食物种数和饮料种数,接着输出Fi个食物的编号和Di个食物的编号 ok题意就是这样,这题主要考的是建图 需要把牛拆点,一分为二 图应该是 这种形式      源…

POJ 3281 Dining (网络流) 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…

POJ 3281 Dining id=3281" target="_blank" style="">题目链接 题意:n个牛.每一个牛有一些喜欢的食物和饮料.每种食物饮料仅仅有一个.问最大能匹配上多少仅仅牛每一个牛都能吃上喜欢的食物和喜欢的饮料 思路:最大流.建模源点到每一个食物连一条边,容量为1,每一个饮料向汇点连一条边容量为1,然后因为每一个牛有容量1.所以把牛进行拆点.然后食物连向牛的入点,牛的出点连向食物,跑一下最大流就可以 代码: #incl…

题意: (吃饭dining)有F种食物和D种饮料,每种食物或饮料只能供一头牛享用,且每头牛只享用一种食物和一种饮料.现在有n头牛,每头牛都有自己喜欢的食物种类列表和饮料种类列表,问最多能使几头牛同时享用到自己喜欢的食物和饮料.(1 <= f <= 100, 1 <= d <= 100, 1 <= n <= 100) (酒店之王)XX酒店的老板想成为酒店之王,本着这种希望,第一步要将酒店变得人性化.由于很多来住店的旅客有自己喜好的房间色调.阳光等,也有自己所爱的菜,但是该…

B - Dining Time Limit:2000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u Submit Status Practice POJ 3281 Appoint description:   Description Cows are such finicky eaters. Each cow has a preference for certain foods and drinks, and she w…

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.建模的方法很妙! 题意就是有N头牛,F个食物,D个饮料. N头牛每头牛有一定的喜好,只喜欢几个食物和饮料. 每个食物和饮料只能给一头牛.一头牛只能得到一个食物和饮料. 而且一头牛必须同时获得一个食物和一个饮料才能满足.问至多有多少头牛可以获得满足. 最初相当的是二分匹配.但是明显不行,因为要分配两个东西,两个东…

如何建图? 最开始的问题就是,怎么表示一只牛有了食物和饮料呢? 后来发现可以先将食物与牛匹配,牛再去和饮料匹配,实际上这就构成了三个层次. 起点到食物层边的容量是1,食物层到奶牛层容量是1,奶牛层到饮料层容量是1,饮料层到终点容量是1. 但是后来发现有一组hack数据: 2 3 3 3 3 1 2 3 1 2 3 3 3 1 2 3 1 2 3 我们发现一头奶牛居然吃了多个套餐,所以要解决这个只需要将自己与自己建立一条容量是1的边就行了. #include <cstdio> #include…

最大流. 这东西好像叫三分图匹配. 源点向每个食物点连一条容量为1的边. 每个饮料点向汇点连一条容量为1的边. 将每个牛点拆点,食物点向喜欢它的牛的入点连一条容量为1的边,牛的出点向它喜欢的饮料点连一条容量为1的边. 最大流即为答案,每头牛拆点是为了保证每头牛只有一种食物和一种饮料. #include<iostream> #include<cstring> #include<cstdio> #include<algorithm> #include<qu…

http://poj.org/problem?id=3281 题意:有n头牛,f种食物,d种饮料,每头牛有fnum种喜欢的食物,dnum种喜欢的饮料,每种食物如果给一头牛吃了,那么另一个牛就不能吃这种食物了,饮料也同理,问最多有多少头牛可以吃到它喜欢的饮料和食物. 思路:一开始还以为二分匹配可以做,当然如果只有食物或者饮料其中一种就可以做.难点在于建图.看了下书,因为要保证经过牛的流量是1(每种食物对应分配给一头牛,每种饮料对应分配给一头牛,避免一头牛吃多份),所以要把牛拆成两个点.形成这样的路…

题目链接:http://poj.org/problem?id=3281 题目大意:农夫为他的 N (1 ≤ N ≤ 100) 牛准备了 F (1 ≤ F ≤ 100)种食物和 D (1 ≤ D ≤ 100) 种饮料.每头牛都有各自喜欢的食物和饮料,而每种食物或饮料只能分配给一头牛.最多能有多少头牛可以同时得到喜欢的食物和饮料? 解题思路:令st=0为源点,en=f+2*n+1为汇点,st向每种食物建流量为1的边,每种食物向喜欢它的牛(拆点1)建流量为1的边,眉头牛的拆点之间建流量为1的边,每头牛…

http://poj.org/problem?id=3281 题意: 有n头牛,F种食物和D种饮料,每头牛都有自己喜欢的食物和饮料,每种食物和饮料只能给一头牛,每头牛需要1食物和1饮料.问最多能满足几头牛的需求. 思路: #include<iostream> #include<algorithm> #include<cstring> #include<cstdio> #include<sstream> #include<vector>…

[题目链接] http://poj.org/problem?id=3281 [题目大意] 给出一些食物,一些饮料,每头牛只喜欢一些种类的食物和饮料, 但是每头牛最多只能得到一种饮料和食物,问可以最多满足几头牛的要求 即同时得到喜欢的饮料和食物 [题解] 建立一个源点连接食物,汇点连接饮料,中间连接牛, 为了防止同一头牛占用多个资源,所以我们对牛进行拆点,限流为1. [代码(Isap)] #include <cstdio> #include <cstring> using names…

题目链接: http://poj.org/problem?id=3281 题目大意: 有n头牛,f种食物,d种饮料,第i头牛喜欢fi种食物和di种饮料,每种食物或者饮料被一头牛选中后,就不能被其他的牛选了,问最多能满足多少头牛的要求? 解题思路: 最大匹配问题,关键在于如何建图,可以虚构出来一个源点,一个汇点,一共需要f+d+2*n+2个点即可,建图为:源点—>食物—>牛—>牛—>饮料—> 汇点.把牛作为点拆开建图是为了让一头牛只对应一种饮料和一种食物,避免出现对应多种饮料或…

Dining 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. Al…

B - DiningTime Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://acm.hust.edu.cn/vjudge/contest/view.action?cid=88038#problem/B Description Cows are such finicky eaters. Each cow has a preference for certain foods and drinks, and she will consume no oth…

Dining Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 11828   Accepted: 5437 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 fabulo…

Dining Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 20052   Accepted: 8915 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 fabulo…

Dining Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 18230   Accepted: 8132 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 fabulo…

Dining Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 22572   Accepted: 10015 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 fabul…

饮料->牛->食物. 牛拆成两点. //#pragma comment(linker, "/STACK:1024000000,1024000000") #include<cstdio> #include<cstring> #include<cstdlib> #include<algorithm> #include<iostream> #include<sstream> #include<cmath…

[题意]有F种食物和D种饮料,每种食物或饮料只能供一头牛享用,且每头牛只享用一种食物和一种饮料.现在有N头牛,每头牛都有自己喜欢的食物种类列表和饮料种类列表,问最多能使几头牛同时享用到自己喜欢的食物和饮料. (1 <= F <= 100, 1 <= D <= 100, 1 <= N <= 100) [建模方法] 此题的建模方法比较有开创性.以往一般都是左边一个点集表示供应并与源相连,右边一个点集表示需求并与汇相连.现在不同了,供应有两种资源,需求仍只有一个群体,怎么办?…