训练指南 UVALive - 3989（稳定婚姻问题)

---

ayout: post
title: 训练指南 UVALive - 3989（稳定婚姻问题）
author: "luowentaoaa"
catalog: true
mathjax: true
tags:
- 二分图匹配
- 图论
- 训练指南

---

Ladies' Choice

UVALive - 3989

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod=998244353;
const int maxn=1e3+50;
const ll inf=1e10;
const ll INF = 1000000000;
const double eps=1e-5;
#define bug cout<<"bbibibibbbb="<<endl;
int pref[maxn][maxn],order[maxn][maxn],Next[maxn],future_husband[maxn],future_wife[maxn];
queue<int>Q;
void engage(int man,int woman){
    int m=future_husband[woman];
    if(m)future_wife[m]=0,Q.push(m);
    future_wife[man]=woman;
    future_husband[woman]=man;
}
int main()
{
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
    std::cout.tie(0);
    int t;
    cin>>t;
    while(t--){
        int n;
        cin>>n;
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++)
                cin>>pref[i][j];
            Next[i]=1;
            future_wife[i]=0;
            Q.push(i);
        }
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++){
                int x;cin>>x;
                order[i][x]=j;
            }
            future_husband[i]=0;
        }
        while(!Q.empty()){
            int man=Q.front();Q.pop();
            int woman=pref[man][Next[man]++];
            if(!future_husband[woman])engage(man,woman);
            else if(order[woman][man]<order[woman][future_husband[woman]])engage(man,woman);
            else Q.push(man);
        }
        while(!Q.empty())Q.pop();
        for(int i=1;i<=n;i++)cout<<future_wife[i]<<endl;
        if(t)cout<<endl;
    }
    return 0;
}