http://acm.hdu.edu.cn/showproblem.php?pid=1054
题意:保卫城市,给一棵树,让求放几个士兵,可以看到所有的树的节点;
题解:
最小点覆盖数
二分匹配vecter建图,最大匹配的值除以2就是答案;
/*
*@Author: STZG
*@Language: C++
*/
#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
//#define DEBUG
#define RI register int
#define endl "\n"
using namespace std;
typedef long long ll;
//typedef __int128 lll;
const int N=1500+10;
const int M=100000+10;
const int MOD=1e9+7;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
int t,n,m,k,p,l,r,u,v;
int ans,cnt,flag,temp,sum;
int mp[N][N];
int col[N];
bool vis[N];
char str;
struct node{};
vector<int>G[N];
bool dfs(int u){
for(int i=0,j=G[u].size();i<j;i++){
int v=G[u][i];
if(!vis[v]){
vis[v]=1;
if(col[v]==-1||dfs(col[v])){
col[v]=u;
return 1;
}
}
}
return 0;
}
int maxmatch(){
int res=0;
for(int i=0;i<n;i++){
memset(vis,0,sizeof(vis));
if(dfs(i))res++;
}
return res;
}
void init(){
memset(mp,0,sizeof(mp));
memset(col,-1,sizeof(col));
for(int i=0;i<n;i++)
G[i].clear();
ans=0;
}
int main()
{
#ifdef DEBUG
freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
#endif
//ios::sync_with_stdio(false);
//cin.tie(0);
//cout.tie(0);
//scanf("%d",&t);
while(~scanf("%d",&n)){
//scanf("%d%d",&n,&m);
init();
for(int i=1;i<=n;i++){
scanf("%d:(%d)",&u,&k);
for(int j=1;j<=k;j++){
scanf("%d",&v);
//mp[u][v]=1;
//mp[v][u]=1;
G[u].push_back(v);
G[v].push_back(u);
}
}
cout<<maxmatch()/2<<endl;
}
#ifdef DEBUG
printf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC);
#endif
//cout << "Hello world!" << endl;
return 0;
}