hdu-4292 Food(最大流)dinic
Food
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 6598 Accepted Submission(s): 2238
Problem Description
You, a part-time dining service worker in your college’s dining hall, are now confused with a new problem: serve as many people as possible.
The issue comes up as people in your college are more and more difficult to serve with meal: They eat only some certain kinds of food and drink, and with requirement unsatisfied, go away directly.
You have prepared F (1 <= F <= 200) kinds of food and D (1 <= D <= 200) kinds of drink. Each kind of food or drink has certain amount, that is, how many people could this food or drink serve. Besides, You know there’re N (1 <= N <= 200) people and you too can tell people’s personal preference for food and drink.
Back to your goal: to serve as many people as possible. So you must decide a plan where some people are served while requirements of the rest of them are unmet. You should notice that, when one’s requirement is unmet, he/she would just go away, refusing any service.
Input
There are several test cases.
For each test case, the first line contains three numbers: N,F,D, denoting the number of people, food, and drink.
The second line contains F integers, the ith number of which denotes amount of representative food.
The third line contains D integers, the ith number of which denotes amount of representative drink.
Following is N line, each consisting of a string of length F. e jth character in the ith one of these lines denotes whether people i would accept food j. “Y” for yes and “N” for no.
Following is N line, each consisting of a string of length D. e jth character in the ith one of these lines denotes whether people i would accept drink j. “Y” for yes and “N” for no.
Please process until EOF (End Of File).
Output
For each test case, please print a single line with one integer, the maximum number of people to be satisfied.
Sample Input
4 3 3
1 1 1
1 1 1
YYN
NYY
YNY
YNY
YNY
YYN
YYN
NNY
Sample Output
3
题意:一共有n个人f种食物,d种饮料,每个人对每种饮料和食物喜欢就是‘Y’,不喜欢是‘N’,求最多有几个人会满足。
思路:最大流,拆人。
这个题比较容易超时,好像一般都用了邻接表才能过。
下面代码G++会超时,C++可以过。
#include<map> #include<set> #include<queue> #include<math.h> #include <cstdio> #include <ctime> #include<vector> #include<string> #include<stdio.h> #include<iostream> #include<string.h> #include<algorithm> #define inf 0x3f3f3f3f #define ll long long #define OPT(_)(hip+(((_)-hip)^1)) #define maxn 300000 using namespace std; struct node { int v,w; struct node *next; }hip[maxn],*hop; node *h[maxn]; int d[maxn]; int s,t; void w(int u,int v,int w,int b){ hop->v=v; hop->w=w; hop->next=h[u]; h[u]=hop++; hop->v=u; hop->w=b; hop->next=h[v]; h[v]=hop++; } bool bfs(){ queue<int>q; while(!q.empty())q.pop(); memset(d,0,sizeof(d)); d[s]=1; q.push(s); do{ int u=q.front(); q.pop(); struct node*T; for(T=h[u];T!=NULL;T=T->next){ if((T->w)>0&&d[T->v]==0){ d[T->v]=d[u]+1; q.push(T->v); } } }while(!q.empty()); if(d[t]==0)return false; else return true; } int dfs(int u,int dist){ if(u==t) return dist; struct node *p; for(p=h[u];p!=NULL;p=p->next){ if((d[p->v]==d[u]+1)&&(p->w)>0){ int di=dfs(p->v,min(dist,p->w)); if(di>0){ p->w-=di; OPT(p)->w+=di; return di; } } } return 0; } int dinic(){ int ans=0; while(bfs()){ while(int d=dfs(s,inf)){ ans+=d;} } return ans;} int main(){ int n,f,d; while(~scanf("%d%d%d",&n,&f,&d)){ s=0;t=n+n+d+f+1; memset(hip,0,sizeof(hip)); hop=hip; for(int i=0;i<maxn;i++){h[i]=NULL;} for(int i=1;i<=f;i++){ int x;scanf("%d",&x);w(s,i,x,0); } for(int i=1;i<=n;i++){ w(f+i,f+n+i,1,0); } for(int i=1;i<=d;i++){ int x;scanf("%d",&x);w(f+n+n+i,t,x,0); } for(int i=1;i<=n;i++){ string s;cin>>s; for(int j=1;j<=f;j++){ if(s[j-1]=='Y'){w(j,f+i,1,0);}} } for(int i=1;i<=n;i++){ string s;cin>>s; for(int j=1;j<=d;j++){ if(s[j-1]=='Y'){w(f+i+n,f+n+n+j,1,0);}} } cout<<dinic()<<endl; } }