LA 3126 二分图匹配 最小路径覆盖

本题最主要的就是拆点G[maxn][maxn],前面的是原来的点u,后面的是相对的u',如果接完客人u可以再去接客人v,则连G[u][v] = true; 然后就KM下,用n-m(匹配数)就是答案;

#include<cstdio>
#include<cstring>
#include<iostream>
#include<cmath>
using namespace std;

const int maxn = 505;

int n,T,ans;
struct guest{
	int sx,sy;
	int tx,ty;
	int st;
	int time;
}gu[maxn];
bool G[maxn][maxn];
int link[maxn];
int vis[maxn];

bool judge(int i,int j){
	int time = abs(gu[j].sx - gu[i].tx) + abs(gu[j].sy - gu[i].ty);
	if(time + gu[i].st + gu[i].time < gu[j].st )  return true;
	else return false;
}
bool dfs(int u){
	for(int v=1;v<=n;v++){
		if(G[u][v] && !vis[v]){
			vis[v] = true;
			if(link[v] == -1 || dfs(link[v])){
				link[v] = u;
				return true;
			}
		}
	}
	return false;
}
void KM(){
	ans = 0;
	memset(link,-1,sizeof(link));
	for(int i=1;i<=n;i++){
		memset(vis,0,sizeof(vis));
		if(dfs(i))  ans++;
	}
}
int main()
{
	//if(freopen("input.txt","r",stdin)== NULL)  {printf("Error\n"); exit(0);}
	cin>>T;
	for(int t=1;t<=T;t++){
		cin>>n;
		
		for(int i=1;i<=n;i++){
			int a,c; 
			char b,d;
   			cin>>a>>b>>c;
   			gu[i].st = 60*a + c;
   			cin>>gu[i].sx>>gu[i].sy>>gu[i].tx>>gu[i].ty;
   			gu[i].time = abs(gu[i].sx - gu[i].tx) + abs(gu[i].sy - gu[i].ty);
			   
		}
		
		memset(G,0,sizeof(G));
		for(int i=1;i<=n;i++)
		   for(int j=i+1;j<=n;j++){
		   	 if(judge(i,j) )   G[i][j] = true;
   			 else if(judge(j,i))   G[j][i] = true;
   		}
   		KM();
		printf("%d\n",n-ans);
	}
}
 

  

原文地址:https://www.cnblogs.com/acmdeweilai/p/3091355.html