HDU 3829 Cat VS Dog 最大独立集

版权声明: https://blog.csdn.net/nwpu2017300135/article/details/82152380

http://acm.hdu.edu.cn/showproblem.php?pid=3829

题解:将学生复制一份,然后求最大匹配除以二

代码:

#include<cstdio>
#include<iostream>
#include<cstring>
#define maxn 505
using namespace std;
int n,m,p;
int like[maxn],dislike[maxn];
int g[maxn][maxn];
int linker[maxn];
bool used[maxn];
bool dfs(int u){
	int v;
	for(v=0;v<p;v++){
		if(g[u][v]&&!used[v]){
			used[v]=true;
			if(linker[v]==-1||dfs(linker[v])){
				linker[v]=u;
				return true;
			}
		}
	}
	return false;
}
int hungary(){
	int res=0;
	int u;
	memset(linker,-1,sizeof(linker));
	for(u=0;u<p;u++){
		memset(used,false,sizeof(used));
		if(dfs(u))res++;
	}
	return p-res/2;
}
int getid(char ch,int x){
	x+= ch=='D'?n:0;
	return x;
}
int main(){
	int i,j,tmp1,tmp2;
	char ch1,ch2;
	while(~scanf("%d%d%d",&n,&m,&p)){
		memset(g,0,sizeof(g));
		for(i=0;i<p;i++){
			cin>>ch1>>tmp1>>ch2>>tmp2;
			like[i]=getid(ch1,tmp1);
			dislike[i]=getid(ch2,tmp2);
		}
		for(i=0;i<p;i++){
			for(j=0;j<p;j++){
				if(like[i]==dislike[j]||dislike[i]==like[j]){
					g[i][j]=g[j][i]=1;
				}
			}
		}
		printf("%d\n",hungary());
	}
	return 0;
}

猜你喜欢

转载自blog.csdn.net/nwpu2017300135/article/details/82152380