POJ 3281( 网络流 最大流 ISAP)
2015-08-24 15:44
821 查看
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. Although he might not be able to stuff everybody, he wants to give a complete meal of both food and drink to as many cows as possible.
Farmer John has cooked F (1 ≤ F ≤ 100) types of foods and prepared D (1 ≤ D ≤ 100) types of drinks. Each of his N (1 ≤ N ≤ 100) cows has decided whether she is willing to eat a particular food or drink
a particular drink. Farmer John must assign a food type and a drink type to each cow to maximize the number of cows who get both.
Each dish or drink can only be consumed by one cow (i.e., once food type 2 is assigned to a cow, no other cow can be assigned food type 2).
Input
Line 1: Three space-separated integers: N, F, and D
Lines 2..N+1: Each line i starts with a two integers Fi and Di, the number of dishes that cow i likes and the number of drinks that cow i likes. The next Fi integers
denote the dishes that cow i will eat, and theDi integers following that denote the drinks that cow i will drink.
Output
Line 1: A single integer that is the maximum number of cows that can be fed both food and drink that conform to their wishes
Sample Input
Sample Output
Hint
One way to satisfy three cows is:
Cow 1: no meal
Cow 2: Food #2, Drink #2
Cow 3: Food #1, Drink #1
Cow 4: Food #3, Drink #3
The pigeon-hole principle tells us we can do no better since there are only three kinds of food or drink. Other test data sets are more challenging, of course.
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 11639 | Accepted: 5344 |
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 might not be able to stuff everybody, he wants to give a complete meal of both food and drink to as many cows as possible.
Farmer John has cooked F (1 ≤ F ≤ 100) types of foods and prepared D (1 ≤ D ≤ 100) types of drinks. Each of his N (1 ≤ N ≤ 100) cows has decided whether she is willing to eat a particular food or drink
a particular drink. Farmer John must assign a food type and a drink type to each cow to maximize the number of cows who get both.
Each dish or drink can only be consumed by one cow (i.e., once food type 2 is assigned to a cow, no other cow can be assigned food type 2).
Input
Line 1: Three space-separated integers: N, F, and D
Lines 2..N+1: Each line i starts with a two integers Fi and Di, the number of dishes that cow i likes and the number of drinks that cow i likes. The next Fi integers
denote the dishes that cow i will eat, and theDi integers following that denote the drinks that cow i will drink.
Output
Line 1: A single integer that is the maximum number of cows that can be fed both food and drink that conform to their wishes
Sample Input
4 3 3 2 2 1 2 3 1 2 2 2 3 1 2 2 2 1 3 1 2 2 1 1 3 3
Sample Output
3
Hint
One way to satisfy three cows is:
Cow 1: no meal
Cow 2: Food #2, Drink #2
Cow 3: Food #1, Drink #1
Cow 4: Food #3, Drink #3
The pigeon-hole principle tells us we can do no better since there are only three kinds of food or drink. Other test data sets are more challenging, of course.
#include <iostream> #include <vector> #include <map> #include <set> #include <queue> #include <stack> #include <algorithm> #include <cstdio> #include <string> #include <cstring> #include <cmath> #include <ctime> using namespace std; #pragma comment(linker,"/STACK:102400000,102400000") /// kuo zhan #define clr(s,x) memset(s,x,sizeof(s)) #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define lowbit(x) (x&(-x)) #define PB push_back #define For(i,a,b) for(int i=a;i<b;i++) #define FOR(i,a,b) for(int i=a;i<=b;i++) typedef long long LL; typedef unsigned int uint; typedef unsigned long long ULL; typedef vector<int> vint; typedef vector<string> vstring; void RI (int& x){ x = 0; char c = getchar (); while (c == ' '||c == '\n') c = getchar (); bool flag = 1; if (c == '-'){ flag = 0; c = getchar (); } while (c >= '0' && c <= '9'){ x = x * 10 + c - '0'; c = getchar (); } if (!flag) x = -x; } void RII (int& x, int& y){RI (x), RI (y);} void RIII (int& x, int& y, int& z){RI (x), RI (y), RI (z);} const double PI = acos(-1.0); const int maxn = 6e2 + 10; const int maxm = 4e4 + 10; const LL mod = 1e9 + 7; const double eps = 1e-9; const int INF = 0x7fffffff; /************************************END DEFINE*********************************************/ struct Side{ int to,next,c; }side[maxm]; int top,node[maxn]; void add_side(int u,int v,int c,int rc){ side[top]=(Side){v,node[u],c}; node[u]=top++; side[top]=(Side){u,node[v],rc}; node[v]=top++; } int start,end,cnt,dis[maxn],gap[maxn]; int get_flow(int u,int flow){ if(u==end)return flow; int ans=0; for(int i=node[u];i!=-1;i=side[i].next){ int v=side[i].to,c=side[i].c; if(dis[u]>dis[v]&&c){ int f=get_flow(v,min(flow-ans,c)); ans+=f; side[i].c-=f; side[i^1].c+=f; if(ans==flow)return ans; } } if(!(--gap[dis[u]]))dis[start]=cnt+2; gap[++dis[u]]++; return ans; } int main(){ int n,f,d; while(~scanf("%d%d%d",&n,&f,&d)){ top=0; memset(node,-1,sizeof(node)); memset(gap,0,sizeof(gap)); memset(dis,0,sizeof(dis)); clr(side,0); start = 0; end = 2*n+f+d+1; FOR(i,1,f)add_side(start,i,1,0); FOR(i,1,d)add_side(2*n+f+i,end,1,0); FOR(i,1,n)add_side(f+i,f+i+n,1,0); FOR(i,1,n){ int num_f,num_d; RII(num_f,num_d); while(num_f--){ int mid; RI(mid); add_side(mid,f+i,1,0); } while(num_d--){ int mid; RI(mid); add_side(i+f+n,2*n+f+mid,1,0); } } int ans=0; cnt=end+1; gap[0]=cnt; while(dis[start]<cnt){ ans+=get_flow(start,INF); } printf("%d\n",ans); } return 0; }
相关文章推荐
- 示例:Netty 处理 TCP数据分包协议
- POJ 1087 网络流(最大流 ISAP)
- Android-非常棒的HTTP通讯总结
- Android OkHttp完全解析 是时候来了解OkHttp了
- Android OkHttp完全解析 是时候来了解OkHttp了
- at org.apache.coyote.http11.AbstractOutputBuffer.checkLengthBeforeWrite
- Linux网络编程--TCP网络编程基础(简单的server/client模型)
- 使用 cURL 进行 HTTP 请求实例
- 使用net模块实现基于TCP的数据通信
- Chapter 4 分布式(网络)存储系统
- Android 网络--我是怎么做的: Volley+OkHttp+Https
- java代码实现如jsp页面的form请求方式二HttpClient
- 又见GCD(http://acm.hdu.edu.cn/showproblem.php?pid=2504)
- Neural Networks for Machine Learning by Geoffrey Hinton (4)
- 调试打印ethhdr,iphdr,tcphdr和指定长度的内存块
- 计算机应用——DOS命令下的网络管理和诊断-终
- 计算机应用——DOS命令下的网络管理和诊断-续
- HTTP状态码(HTTP Status Code)
- Util:跟网络相关的工具类
- 黑马程序员----Java网络编程