1. 程式人生 > >POJ 2771 Guardian of Decency 最大獨立集

POJ 2771 Guardian of Decency 最大獨立集

題意:

把可能產生關係的連線起來,然後用求二分圖的最大獨立集

最大獨立集=總頂點數 - 匹配數/2

#include<stdio.h>
#include<stdlib.h>
#include<iostream>
#include<algorithm>
#include<vector>
#include<stack> 
#include<string.h>
using namespace std;
const int maxn=1100;
struct node
{
	int hight;
	char sex;
	string music;
	string sport;
}people[maxn];
int n,g[maxn][maxn],match[maxn],vis[maxn];
bool dfs(int u)
{
	for(int i=1;i<=n;i++)
	{
		if(!vis[i] && g[u][i])
		{
			vis[i]=1;
			if(match[i]==-1 || dfs(match[i]))
			{
				match[i]=u;
				return true;
			}
		}
	}
	return false;
}
int Hunary()
{
	int all=0;
	memset(match,0xff,sizeof(match));
	for(int i=1;i<=n;i++)
	{
		memset(vis,0,sizeof(vis));
		if(dfs(i))
		  all++;
	}
	return all;
}
int main()
{
	int t;
	scanf("%d",&t);
	while(t--)
	{
	   scanf("%d",&n);
	   for(int i=1;i<=n;i++)
	   {
	     cin>>people[i].hight>>people[i].sex>>people[i].music>>people[i].sport;   	
	   }	
	   memset(g,0,sizeof(g));
	   for(int i=1;i<=n;i++)
	   {
	   	for(int j=1;j<=n;j++)
	   	{
	   	    if(people[i].hight-people[j].hight>40 || people[j].hight-people[i].hight>40)
            {
                 continue;	
			}	
			if(people[i].sex==people[j].sex)
			{
				 continue;
			}
			if(people[i].music!=people[j].music)
			{
				continue;
			}
			if(people[i].sport==people[j].sport)
			{
				continue;
			}
			g[i][j]=1;
	    } 
	   }
	   int ans=Hunary();
	   printf("%d\n",n-ans/2);
	}
	return 0;
}