PIGS

Time Limit: 1000MS

 

Memory Limit: 10000K

Total Submissions: 20253

 

Accepted: 9252

Description

Mirko works on a pig farm that consists of M locked pig-houses and Mirko can't unlock any pighouse because he doesn't have the keys. Customers come to the farm one after another. Each of them has keys to some pig-houses and wants to buy a certain number of pigs. 
All data concerning customers planning to visit the farm on that particular day are available to Mirko early in the morning so that he can make a sales-plan in order to maximize the number of pigs sold. 
More precisely, the procedure is as following: the customer arrives, opens all pig-houses to which he has the key, Mirko sells a certain number of pigs from all the unlocked pig-houses to him, and, if Mirko wants, he can redistribute the remaining pigs across the unlocked pig-houses. 
An unlimited number of pigs can be placed in every pig-house. 
Write a program that will find the maximum number of pigs that he can sell on that day.

Input

The first line of input contains two integers M and N, 1 <= M <= 1000, 1 <= N <= 100, number of pighouses and number of customers. Pig houses are numbered from 1 to M and customers are numbered from 1 to N. 
The next line contains M integeres, for each pig-house initial number of pigs. The number of pigs in each pig-house is greater or equal to 0 and less or equal to 1000. 
The next N lines contains records about the customers in the following form ( record about the i-th customer is written in the (i+2)-th line): 
A K1 K2 … KA B It means that this customer has key to the pig-houses marked with the numbers K1, K2, …, KA (sorted nondecreasingly ) and that he wants to buy B pigs. Numbers A and B can be equal to 0.

Output

The first and only line of the output should contain the number of sold pigs.

Sample Input

3 3
3 1 10
2 1 2 2
2 1 3 3
1 2 6

Sample Output

7

DINIC练习，题目的建图值的注意！

1 #include
2 #include
3 #include
4 #include
5 #include
6
7 using namespace std;
8 const int inf=0x7fffffff;
9 int n,m;
10 int map[110][110];
11 int house[1010];
12 int fir[1010]={0};
13 int lays[110];
14 bool vis[110]={0};
15 bool bfs()
16 {
17 memset(lays,-1,sizeof(lays));
18 queueq;
19 lays[0]=0;
20 q.push(0);
21 while(!q.empty())
22 {
23 int u=q.front();q.pop();
24 for(int i=1;i<=n+1;i++) 25 if(map[u][i]>0&&lays[i]==-1)
26 {
27 lays[i]=lays[u]+1;
28 if(i==n+1)return 1;
29 else q.push(i);
30 }
31 }
32 return 0;
33 }
34 int dinic()
35 {
36 int maxf=0;
37 vectorq;
38 while(bfs())
39 {
40 memset(vis,0,sizeof(vis));
41 q.push_back(0);
42 vis[0]=1;
43 while(!q.empty())
44 {
45 int nd=q.back();
46 if(nd==n+1)
47 {
48 int minn,minx=0x7fffffff;
49 for(int i=1;i0&&lays[i]==lays[nd]+1&&!vis[i])
77 {
78 q.push_back(i);
79 vis[i]=1;
80 break;
81 }
82 }
83 if(i>n+1)q.pop_back();
84 }
85 }
86 }
87 return maxf;
88 }
89 int main()
90 {
91 cin>>m>>n;
92 for(int i=1;i<=m;i++)
93 scanf("%d",house+i);
94 for(int i=1;i<=n;i++)
95 {
96 int keys;
97 scanf("%d",&keys);
98 for(int j=0;j<keys;j++)
99 {
100 int keyn;
101 scanf("%d",&keyn);
102 if(fir[keyn]==0)map[0][i]+=house[keyn];
103 else map[fir[keyn]][i]=inf;
104 fir[keyn]=i;
105 }
106 int pigs;
107 scanf("%d",&pigs);
108 map[i][n+1]=pigs;
109 }
110 cout<<dinic()<<endl;
111 return 0;
112 }