Food
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2136 Accepted Submission(s): 745
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.
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).
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
Source
构图是老生常谈的事情了。
S-->food连边food[i] ;
food-->man1连边1
man1-->man2连边1
mam2-->drink 连边1 ，
diink-->T连边dink[i]
#include <iostream>
#include <stdio.h>
#include <queue>
#include <stdio.h>
#include <string.h>
#include <vector>
#include <queue>
#include <set>
#include <algorithm>
#include <map>
#include <stack>
#include <math.h>
#define Max(a,b) ((a)>(b)?(a):(b))
#define Min(a,b) ((a)<(b)?(a):(b))
using namespace std ;
typedef long long LL ;
#define MAXN 1000
#define inf 2100000000
int g[MAXN][MAXN],level[MAXN];
int bfs(int n,int s,int t){
int que[],head,tail,i;
head=tail=;
que[tail++]=s;
memset(level,-,sizeof(level));
level[s]=;
while(head<tail){
int x=que[head++];
for(i=;i<=n;++i)
if((g[x][i])&&(level[i]==-)){
level[i]=level[x]+;
que[tail++]=i;
}
}
return level[t]+;
}
/*n为最大点，s起点 ，t终点 ,图中没有定点0，从1开始到n*/
int dinic(int n,int s,int t){
int maxflow=,i;
while(bfs(n,s,t)){
int pos,path[MAXN],cut=,low,find;
pos=;
path[pos++]=s;find=;
while(){
find=;
low=inf;
while((path[pos-]!=t)&&(find)){
find=;
for(i=;i<=n;++i)
if((level[i]==level[path[pos-]]+)&&(g[path[pos-]][i])){
path[pos++]=i;
find=;
break;
}
else if (i==n) break;
}
if(path[pos-]==t){
for(i=;i<pos-;++i){
if(low>g[path[i]][path[i+]]){
low=g[path[i]][path[i+]];
cut=i;
}
}
maxflow+=low;
for(i=;i<pos-;++i){
g[path[i]][path[i+]]-=low;
g[path[i+]][path[i]]+=low;
}
pos=cut+;
}
else{
if(pos==)
break;
else{
level[path[pos-]]=-;
pos--;
}
}
}
}
return maxflow;
} const int Max_N= ;
char str[Max_N][Max_N] ;
int food[Max_N] ;
int drink[Max_N] ;
int S ,T ;
int main(){
int F , N , D ;
while(scanf("%d%d%d",&N,&F,&D)!=EOF){
memset(g,,sizeof(g)) ;
for(int i=;i<=F;i++)
scanf("%d",&food[i]) ;
for(int i=; i<=D ;i++)
scanf("%d",&drink[i]) ;
for(int i=;i<=N;i++)
scanf("%s",str[i]+) ;
for(int i=;i<=N;i++)
for(int j=;j<=F;j++){
if(str[i][j]=='Y')
g[j][F+i]= ;
}
for(int i=;i<=N;i++)
scanf("%s",str[i]+) ;
for(int i=;i<=N;i++)
for(int j=;j<=D;j++){
if(str[i][j]=='Y')
g[F+N+i][F+N+N+j]= ;
}
for(int i=;i<=N;i++)
g[F+i][F+N+i]= ;
T=F+N+N+D+ ;
S=F+N+N+D++ ;
for(int i=;i<=D;i++)
g[F+N+N+i][T]=drink[i] ;
for(int i=;i<=F;i++)
g[S][i]=food[i] ;
cout<<dinic(S,S,T)<<endl ;
}
return ;
}